Answer:The specific heat of a substance is defined as the amount of heat required to raise the temperature of one gram of the substance by one degree Celsius (or Kelvin).
To find the specific heat of the unknown substance, we can use the following equation:
Q = m x c x ΔT
where Q is the heat gained or lost, m is the mass of the substance, c is its specific heat, and ΔT is the change in temperature.
In this problem, we know the mass and initial and final temperatures of both the unknown substance and the water, as well as the specific heat of water. We can use this information to calculate the heat gained by the water, which must be equal to the heat lost by the unknown substance:
Heat gained by water = Heat lost by unknown substance
m(water) x c(water) x ΔT(water) = m(substance) x c(substance) x ΔT(substance)
We can plug in the values we know and solve for the specific heat of the unknown substance:
m(water) = 75.0 g
c(water) = 4.18 J/g°C
ΔT(water) = 27.1 °C - 20.00 °C = 7.1 °C
m(substance) = 100.0 g
ΔT(substance) = 200.0 °C - 27.1 °C = 172.9 °C
75.0 g x 4.18 J/g°C x 7.1 °C = 100.0 g x c(substance) x 172.9 °C
Simplifying this equation, we get:
c(substance) = (75.0 g x 4.18 J/g°C x 7.1 °C) / (100.0 g x 172.9 °C)
c(substance) = 0.197 J/g°C
Therefore, the specific heat of the unknown substance is 0.197 J/g°C.
Step-by-step explanation:
Answer:
The specific heat of the unknown substance is 0.39 J/g°C.
Step-by-step explanation:
To solve this problem, we can use the principle of conservation of energy, which states that the heat lost by the unknown substance is equal to the heat gained by the water and the calorimeter. We can express this principle mathematically as:
Q_lost = Q_gained
where Q_lost is the heat lost by the unknown substance, and Q_gained is the heat gained by the water and calorimeter.
We can calculate Q_lost using the formula:
Q_lost = m × c × ΔT
where m is the mass of the unknown substance, c is its specific heat, and ΔT is the change in temperature it undergoes.
We can calculate Q_gained using the formula:
Q_gained = (m_water + m_calorimeter) × c_water × ΔT
where m_water is the mass of the water, m_calorimeter is the mass of the calorimeter, c_water is the specific heat of water, and ΔT is the change in temperature of the water and calorimeter.
Since the system reaches an equilibrium temperature, we can set Q_lost equal to Q_gained and solve for the specific heat of the unknown substance (c).
Here's the calculation:
Q_lost = Q_gained
m × c × ΔT = (m_water + m_calorimeter) × c_water × ΔT
100.0 g × c × (200.0 °C - 27.1 °C) = (75.0 g + 75.0 g) × 4.18 J/g°C × (27.1 °C - 20.00 °C)
Simplifying:
c = [(75.0 g + 75.0 g) × 4.18 J/g°C × (27.1 °C - 20.00 °C)] / (100.0 g × (200.0 °C - 27.1 °C))
c = 0.39 J/g°C
Therefore, the specific heat of the unknown substance is 0.39 J/g°C.
3 Open Ended Two fractions have a common denominator
of 8. What could the two fractions be?
3. what cou
two fractions with a common denominator of 8 can be expressed in the form of a/b and c/8, where a and c are integers. As long as a and c are not both multiples of 8 then these fractions would have a common denominator of 8.
What is common denominator ?A number that can be divided exactly by all of the denominators in a group of fractions is referred to as a common denominator. 2. A noun that counts. A trait or attitude that all members of a group share is known as a common denominator.
According to the given information:Since the two fractions have a common denominator of 8, they can be written in the form of a/b and c/8, where a and c are integers.
There are many possible combinations of integers that could satisfy this condition. Here are some examples:
1/8 and 3/8
2/8 (which simplifies to 1/4) and 6/8 (which simplifies to 3/4)
4/8 (which simplifies to 1/2) and 7/8
5/8 and 2/8 (which simplifies to 1/4)
3/8 and 4/8 (which simplifies to 1/2)
In general, any two fractions with a common denominator of 8 can be expressed in the form of a/b and c/8, where a and c are integers. As long as a and c are not both multiples of 8 then these fractions would have a common denominator of 8.
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6. Deepa's age is three times that of her brother Devan. After 2 years Deepa's age would
be two times that of Devan. How old are they now?
Answer:
Devan's age = 2 years.
Deepa's age = 6 years.
Step-by-step explanation:
Framing and solving algebraic equation:Present age:
Let the present age of Devan = x
Present age of Deepa = 3x
After 2 years:
Age of Devan = x + 2
Age of Deepa = 3x + 2
Deepa's age = 2* Devan's age
3x + 2 = 2 *(x + 2)
3x + 2 = 2x + 2*2 {Use distributive property}
3x + 2 = 2x + 4
Subtract '2' from both sides,
3x = 2x + 4 - 2
3x = 2x + 2
Subtract '2x' from both sides,
3x - 2x = 2
x = 2
Devan's age = 2 years.
Deepa's age = 3*2
= 6 years
find a polynomial function with the following zeros: double zero at -4 simple zero at 3.
f(x) = (x+4)^2(x-3) has polynomial function with the following zeros: double zero at -4 simple zero at 3.
If a polynomial has a double zero at -4, it means that it can be factored as (x+4)^2.
If it also has a simple zero at 3, then the factorization must include (x-3).
Therefore, the polynomial function with these zeros is :-
f(x) = (x+4)^2(x-3)
This polynomial has a double zero at -4, because $(x+4)^2$ has a zero of order 2 at -4, and a simple zero at 3, because $(x-3)$ has a zero of order 1 at 3.
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A fair coin is tossed five times. Explain why the probability of getting exactly three heads is 0.3125.
The value of the probability is 0.3125 and this is proved by the calulations below
How to explain the value of the probabilityThe probability of getting exactly 3 heads in 5 coin tosses can be calculated by multiplying the probability of one specific combination of 3 heads and 2 tails by the number of possible combinations.
The probability of one specific combination, for example HHTTT, is (1/2)^5 = 1/32, because each toss has a 1/2 chance of being a head or a tail.
There are 5C3 = 10 possible combinations of 3 heads and 2 tails in 5 tosses.
For example: HHTTT, HTHTT, HTTHT, HTHHT, TTHHH, etc.
Therefore, the probability of getting exactly 3 heads is:
Probability = 10 * (1/32)
Probability = 10/32
Probability = 0.3125.
Hence, the value of the probability is 0.3125.
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Calculate the 90% confidence interval for the proportion of voters who cast their ballot for the candidate.
We can say with 90% confidence that the true proportion of voters who cast their ballot for the candidate lies between 0.564 and 0.636. We can calculate it in the following manner.
To calculate the 90% confidence interval for the proportion of voters who cast their ballot for the candidate, we need to use the following formula:
CI = p ± z√(p(1-p)/n)
where:
CI is the confidence interval
p is the sample proportion
z is the z-score corresponding to the desired confidence level (90% in this case)
n is the sample size
Assuming we have a sample of size n and a sample proportion of p who voted for the candidate, we need to find the value of z for the 90% confidence level. The z-score can be found using a z-table or a calculator, and for a 90% confidence level, the z-score is 1.645.
Substituting the values into the formula, we get:
CI = p ± 1.645√(p(1-p)/n)
For example, if the sample size is 1000 and the sample proportion is 0.6 (60% of voters voted for the candidate), then the 90% confidence interval would be:
CI = 0.6 ± 1.645√(0.6(1-0.6)/1000) = (0.564, 0.636)
Therefore, we can say with 90% confidence that the true proportion of voters who cast their ballot for the candidate lies between 0.564 and 0.636.
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Full question here:
Calculate the 90% confidence interval for the proportion of voters who cast their ballot for the candidate. Number of votes: 125
Voter Response Dummy Variable
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Solve for x algebraically, given the domain.
4sin x+2=0, 0≤ x<2π
Answer:
x = [tex]\frac{7\pi }{6}[/tex], [tex]\frac{11\pi }{6}[/tex] or x = 210°, 330°
Step-by-step explanation:
4sin(x) + 2 = 0
4sin(x) = -2
sin(x) = -1/2
x = [tex]\frac{7\pi }{6}[/tex], [tex]\frac{11\pi }{6}[/tex]
Let V and W be vector spaces and T: v → w be linear. (a) Prove that T is one-to-one if and only if T carries linearly inde- pendent subsets of V onto linearly independent subsets of W. (b) Suppose that T is one-to-one and that S is a subset of V. Prove that S is linearly independent if and only if T(S) is linearly inde- pendent. Suppose β and onto. Prove that T(3) = {T(m), T(v2), for W (c) (vi, v2 , . . . , Un} is a basis for V and T is one-to-one ,T(vn)} is a basis
(a) T is one-to-one if and only if T carries linearly independent subsets of V onto linearly independent subsets of W.
(b) If T is one-to-one, then S is linearly independent if and only if T(S) is linearly independent.
(c) If β is a basis for V and T is one-to-one and onto, then T(β) is a basis for W.
(a) Assume T is one-to-one. Let S be a linearly independent subset of V, and suppose T(S) is linearly dependent. Then there exist distinct vectors s1, s2, ..., sn in S such that T(s1), T(s2), ..., T(sn) are linearly dependent. This means that there exist scalars c1, c2, ..., cn, not all zero, such that c1T(s1) + c2T(s2) + ... + cnT(sn) = 0. Since T is linear, we have T(c1s1 + c2s2 + ... + cnsn) = 0. But since T is one-to-one, this implies that c1s1 + c2s2 + ... + cnsn = 0, contradicting the assumption that S is linearly independent. Hence, T(S) must be linearly independent.
Conversely, assume that T carries linearly independent subsets of V onto linearly independent subsets of W. Let v1 and v2 be distinct vectors in V, and suppose T(v1) = T(v2). Then {v1, v2} is linearly dependent, which implies that there exist scalars c1 and c2, not both zero, such that c1v1 + c2v2 = 0. Applying T to both sides yields c1T(v1) + c2T(v2) = 0, which implies that T(v1) and T(v2) are linearly dependent. This contradicts the assumption that T carries linearly independent subsets of V onto linearly independent subsets of W. Hence, T must be one-to-one.
(b) Assume T is one-to-one and let S be a subset of V. Suppose S is linearly independent and that T(S) is linearly dependent. Then there exist distinct vectors s1, s2, ..., sn in S such that T(s1), T(s2), ..., T(sn) are linearly dependent. This means that there exist scalars c1, c2, ..., cn, not all zero, such that c1T(s1) + c2T(s2) + ... + cnT(sn) = 0. Since T is linear, we have T(c1s1 + c2s2 + ... + cnsn) = 0. But since T is one-to-one, this implies that c1s1 + c2s2 + ... + cnsn = 0, contradicting the assumption that S is linearly independent. Hence, T(S) must be linearly independent.
Conversely, assume that T(S) is linearly independent whenever S is a linearly independent subset of V. Let v1 and v2 be distinct vectors in V, and suppose T(v1) = T(v2). Then {v1, v2} is linearly dependent, which implies that there exist scalars c1 and c2, not both zero, such that c1v1 + c2v2 = 0. Since {v1, v2} is linearly dependent, we have either v1 = 0 or v2 = 0. Without loss of generality, assume v1 = 0. Then T(v1) = 0 = T(v2), and hence T({v1, v2}) = {0} is linearly dependent. This contradicts the assumption that T carries linearly independent subsets of V onto linearly independent subsets of W. Hence, S must be linearly independent.
(c) First, we will show that T(β) spans W. Let w be an arbitrary vector in W. Since T is onto, there exists some vector v in V such that T(v) = w. Since β is a basis for V, there exist scalars c1, c2, ..., cn such that v = c1v1 + c2v2 + ... + cnvn. Applying T to both sides, we have w = T(v) = T(c1v1 + c2v2 + ... + cnvn) = c1T(v1) + c2T(v2) + ... + cnT(vn), which implies that T(β) spans W.
Next, we will show that T(β) is linearly independent. Suppose there exist scalars c1, c2, ..., cn such that c1T(v1) + c2T(v2) + ... + cnT(vn) = 0. Applying T to both sides, we have T(c1v1 + c2v2 + ... + cnvn) = 0. But since T is one-to-one, this implies that c1v1 + c2v2 + ... + cnvn = 0, which implies that c1 = c2 = ... = cn = 0, since β is a basis for V. Hence, T(β) is linearly independent.
Since T(β) spans W and is linearly independent, it is a basis for W. Therefore, if β is a basis for V and T is one-to-one and onto, then T(β) is a basis for W.
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When two unequal forces act on an object, it causes the object to move.
These forces are called:
Answer:
resultant force
Step-by-step explanation:
the body will move to the direction where greater force is applied
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What is the measure of angle R?
A) 17 degrees
B) 25 degrees
C) 34 degrees
D) 65 degrees
Answer: D) Angle R is 65 degrees
Step-by-step explanation:
In the given figure, we have a right-angled triangle PQR.
Using the property of angles in a triangle, we know that the sum of angles in a triangle is 180 degrees. Therefore,
∠QRP + ∠QPR + ∠PRQ = 180 degrees
Since ∠PRQ is a right angle (90 degrees), we have:
∠QRP + ∠QPR = 90 degrees
Now, we are given that ∠QPR is 25 degrees. Substituting this in the above equation, we get:
∠QRP + 25 = 90 degrees
Solving for ∠QRP, we get:
∠QRP = 90 - 25 = 65 degrees
Therefore, the measure of angle R is 65 degrees, which is option (D).
Answer:
Answer is D
Step-by-step explanation:
SPiDerMom is so hot bTw
In the diagram of right triangle ABC shown below, AB= 14 and AC = 9.
What is the measure of ZA, to the nearest degree?
1) 33
2) 40
3) 50
4) 57
The measure of the angle A is 49.99 degrees or 50 degrees if the length of AB = 14 and AC = 9.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a given a right angle triangle in the picture
It is required to find the measure of angle A
Applying cos ratio to find the measure of the angle A:
cosA = 9/14
cosA = 0.642
A = 49.99 ≈ 50 degree
Thus, the measure of the angle A is 49.99 degrees or 50 degrees if the length of AB = 14 and AC = 9.
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Work out the value of the missing angle
x
.
The diagram is not drawn to scale.
Answer:
No diagram provided here
PLEASE I NEED HELP, what is the equivalent of 7/tan b+7tan b
In response to the stated question, we may state that The equivalent trigonometry expression of 7/tan b + 7tan b is (7 - 7tan b cot b)/sin b.
what is trigonometry?The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.
tan(A + B) = (tan A + tan B)/(1 - tan A tan B)
Set A = 90 degrees and B = b degrees:
tan(90 + b) = (tan 90 + tan b)/(1 - tan 90 tan b)
tan(90 + b) = (undefined + tan b)/(1 - undefined tan b)
tan(90 + b) = -cot b
7/tan b + 7tan b
= 7/(tan b) + 7(tan(90 + b) - 1)
= 7/(tan b) + 7(-cot b - 1)
= (7 - 7tan b cot b)/sin b
The equivalent expression of 7/tan b + 7tan b is (7 - 7tan b cot b)/sin b.
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true/false. when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests.
The given statement " when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests. " is false. Because in distribution of sample means, population variance is unknown.
When the population variance is not known and must be estimated from the data, we use a t-statistic instead of a z-statistic for our hypothesis tests.
This is because the distribution of the sample means follows a t-distribution when the population variance is unknown, whereas it follows a standard normal distribution (z-distribution) when the population variance is known.
The t-distribution has fatter tails than the z-distribution to account for the extra uncertainty introduced by estimating the population variance from the sample.
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fill in the blank. Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in ______ different ways. (Give your answer as a whole number.)
Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in 24 different ways.
To solve this problem, we need to use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we need to find the number of permutations that can be made from the letters D, O, G, and Q when we choose 3 of these 4 letters.
The formula for finding the number of permutations is:
n! / (n-r)!
where n is the total number of objects and r is the number of objects we choose.
Using this formula, we can calculate the number of permutations as follows:
4! / (4-3)!
= 4! / 1!
= 4 x 3 x 2 x 1 / 1
= 24
Therefore, we can arrange the chosen 3 letters in 24 different ways.
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6 TH GRADE MATH , WHAT IS THE SLOPE? TY
Answer:
Step-by-step explanation:
The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.
That is what Slope is.
Answer:
Step-by-step explanation:
Slope :( 1,1)
You start on the y-axis point which is (0,1) as you can see it is going up so I used the “up left” strategy. You go up 1 to the left 1 since the line intersects at point (1,2)
In which three statements below will the number 8 correctly fill
in the blank?
the correct options are A), B), and E).
why it is and what is Gallon?
A) 2 quarts = 8 cups
B) 8 cm = 80mm
E) 96 inches = 8 feet
The number 8 cannot correctly fill in the blank for statements C and D.
C) 1 gallon = 16 cups, so 4 gallons = 64 cups, not 8 cups.
D) 1 hour = 60 minutes, so 96 minutes = 1 hour and 36 minutes, not 8 hours.
Therefore, the correct answers are A), B), and E).
A gallon is a unit of measurement for volume commonly used in the United States and some other countries. There are two different sizes of gallons: the US gallon and the imperial gallon.
The US gallon is defined as exactly 3.785411784 liters, and is used for measuring liquids such as gasoline, milk, and other beverages.
The imperial gallon, which is used in the United Kingdom and some other countries, is defined as exactly 4.54609 liters.
In both cases, a gallon is typically divided into smaller units such as quarts, pints, and fluid ounces for measuring smaller amounts of liquid.
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Sorry if photo is side ways or upside down
the car drives at an average speed of 106 km per hour for 2 hours for 45 minutes at which constant speed must the car drive to travel the same distance in 2 hours 35 minutes
The car must drive at a constant speed of approximately 112.89 km/hr to cover the same distance in 2 hours 35 minutes.
What is the formula for Time?The formula for time is: time = distance / speed
where "distance" is the distance traveled by an object, and "speed" is the rate at which the object is moving.This formula can be used to calculate the time taken by an object to travel a certain distance at a constant speed, or to calculate the speed or distance if the other two variables are known.
What is the formula for Speed?The formula for speed is: speed = distance / time
where "distance" is the distance traveled by an object and "time" is the duration of travel.
This formula can be used to calculate the speed of an object if the distance it has traveled and the time it took to travel that distance are known. It can also be used to calculate the distance traveled by an object if its speed and the time it traveled at that speed are known.
In the given question,
Let's first calculate the distance traveled in 2 hours 45 minutes (2.75 hours) at an average speed of 106 km/hr.
distance = speed × time
distance = 106 × 2.75
distance = 291.5 km
Now, we need to find at which constant speed the car must drive to cover the same distance in 2 hours 35 minutes (2.5833 hours). Let's call this speed "x".
distance = speed × time
291.5 = x × 2.5833
x = 291.5 / 2.5833
x ≈ 112.89 km/hr
Therefore, the car must drive at a constant speed of approximately 112.89 km/hr to cover the same distance in 2 hours 35 minutes.
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Consider the following algebraic statements and determine the values of x for which each statement is true. On a number line, show the set of all points corresponding to the values of x.
4=|-2x|
Your question is incomplete. The complete question is: Consider the following algebraic statements and determine the values of x for which each statement is true. On a number line, show the set of all points corresponding to the values of x.
|x| = 7
4=|-2x|
The values of x for which each statement is true are:
|x| = 7: x = -7 or x = 7
4 = |-2x|: x = -2 or x = 2
How to determine the values of x for which each statement is true?a) |x| = 7
-x = 7 or x = 7
x = -7 or x = 7
This statement is true for two values of x:
x = -7 and x = 7.
b) 4 = |-2x|
4 = -2x or 4 = 2x
x = -2 or x = 2
This statement is true for two values of x:
x = -2 and x = 2.
The number line is shown in the image attached.
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12. If zo 125°, what does zz equal in this figure?
A. 125°
B. 180°
C. 35°
D. 55°
Answer:
A
Step-by-step explanation:
∠ o and ∠ z are alternate exterior angles and are congruent, that is
∠ z = ∠ o = 125°
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Since ∠1 ≅ ∠3 and ∠3 ≅ ∠7, then:
A) ∠6 ≅ ∠7
B) ∠7 ≅ ∠8
C) ∠1 ≅ ∠7
Answer:
C) ∠1 ≅ ∠7
Step-by-step explanation:
If ∠1 = ∠3, then ∠3 = ∠7, behind there is written ∠1 = ∠3, so it's A) ∠1 = ∠7.
A parent donated 36 fruit cups and 24 bananas to fifth grade. The teacher wanted to make field trip snack bags with the donated food and wondered about the ways snacks could be packed. To be fair the teacher wants to make sure that all bags are exactly the same.
A) What is the greatest number of snack bags that the teacher can make, if each bag is identical? How do you know ?
B) What other numbers of snack bags could she make? How do you know?
2) Another parent also donated 24 bananas, so there are 48 bananas total. Now what is the greatest number of snack bags can that can be made?
3) The teacher realized that she miscounted and had only 30 fruit cups. How many snack bags can she make with 48 bananas and fruit cups?
4) What do the different numbers of snack bags that can be made have to do with the number of fruit cups and number of bananas?
Calculate the area of the shaded segments in the following diagrams. (a) 12 cm 40° (b) 58° 16 cm
(a) 12 cm 40° : Area of shaded segments = 301.44 sq. cm.
(b) 58° 16 cm : Area of shaded segments = 777.04 sq. cm.
Explain about the sector of circle?Two radii that meet at the center to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle calculation and radius measurement are both crucial for solving circle-related difficulties.
Area of sector of circle = Ф/360 * πr²
π = 3.14
r is the radius
Ф is the angle subtended.
(a) 12 cm 40°
Area of shaded segments = 40/60 * 3.14* 12²
Area of shaded segments = 40/60 * 452.16
Area of shaded segments = 301.44 sq. cm.
(b) 58° 16 cm
Area of shaded segments = 58/60 * 3.14* 16²
Area of shaded segments = 58/60 * 803.84
Area of shaded segments = 777.04 sq. cm.
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The diagram for the question is attached.
Please help me answer this question ASAP!!
Will mark as brainliest if correct and 50+ points!
Answer:
See explanation below
Step-by-step explanation:
1. 12x - 18 = 6(2x -3)
2. 15x + 25 = 5(3x + 5)
3. 14x + 21 = 7(2x + 3)
4. 5x - 5 = 5(x - 1)
5. 12x - 30 = 6(2x - 5)
6. 10x + 8 = 2(5x + 4)
7. 27x + 18 = 9(3x + 2)
8. 4x - 20 = 4(x - 5)
9. 20x + 30 = 10(2x + 3)
10. 4(x + 5) = 4x + 20
11. 3(x - 2) = 3x - 6
12. 5(2x + 4) = 10x + 20
13. 5(x - 1) = 5x - 5
14. 1/2(10x + 12) = 5x + 6
15. 4(2x + 4) = 8x + 16
16. 2(5x - 2) = 10x - 4
17. 2(x - 8) = 2x - 16
18. 4(2x + 1) = 8x + 4
For a standard normal distribution, find:
P(-2.11 < z < -0.85)
Answer:
Step-by-step explanation:
Using a standard normal table, we can find the area under the curve between -2.11 and -0.85.
P(-2.11 < z < -0.85) = P(z < -0.85) - P(z < -2.11)
Using the table, we find:
P(z < -0.85) = 0.1977
P(z < -2.11) = 0.0174
Therefore,
P(-2.11 < z < -0.85) = 0.1977 - 0.0174 = 0.1803
So the probability that a standard normal random variable falls between -2.11 and -0.85 is 0.1803.
A company rents storage sheds shaped like rectangular prisms. Each shed is 11 feet long, 7 feet wide, and 12 feet tall. The rental cost is $3 per cubic foot. How much does it cost to rent one shed?
The cost to rent one shed of the rectangular prism shaped shed is $2772.
What is area?The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
What is a prism?A rectangular prism is a polyhedron in geometry that has two parallel and congruent sides. It also goes by the name cuboid. Six faces, each with a rectangle form and twelve edges, make up a rectangular prism. It is referred to as a prism because of the extent of its cross-section.
Volume of prism= BH
where B= area of base and H= height
B= 11*7 = 77 feet²
H= 12 feet
Volume= 77*12=924 cubic feet
Cost =$3 per cubic foot
Total cost= 3*924= $2772
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valuate the
expression
12 - 3y
2
+
√²v=4] for y = 3.
2y -
The result of the formula [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex] for y = 3 is [tex]-29/2[/tex] .
What are the ways to analyse an algebraic expression?When [tex]y = 3[/tex] is used, the value of the expression [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex] has a value of [tex]-29/2[/tex] .
To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.
If [tex]y = 3[/tex] , we can insert it into the expression & simplify as follows to evaluate [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex] for [tex]y = 3[/tex] .
[tex]12 - 3(3)^2 + (√4) / (2(3) - 2)[/tex] (y = 3 replacement)
[tex]12 - 27 + 2 / 4\s-15 + 1/2\s-29/2[/tex]
Therefore, The result of the formula [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex] for y = 3 is [tex]-29/2[/tex] .
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Can someone help quick i have 6 questions left
Step-by-step explanation:
remember the trigonometric triangle inside a circle.
sine is the up/down leg, cosine is the left/right leg.
the Hypotenuse (baseline) of the right-angled triangle is the angle-defining radius of the circle.
this is the basic definition inside the norm-circle with radius = 1.
for any other size sine and cosine need to be multiplied by the actual radius for the actual triangle side lengths.
I think you need the answer in simplified fraction and square root notification (you cut that off), but I give you also the decimal result, just in case.
so,
78 = cos(30)×y
78 = (sqrt(3)/2) × y
y = 78 / (sqrt(3)/2) = 2×78/sqrt(3) = 156/sqrt(3) =
= 90.06664199...
x = sin(30) × y = 0.5 × 156/sqrt(3) = 78/sqrt(3) =
= 45.033321...
please help me with math quiz i’ll give you brainlist
Answer:
Answer: B. Symmetric.
Explanation:
In a symmetric distribution, the data is evenly distributed around the mean or median, creating a mirror image on both sides of the center. In this histogram, the median and mean are very close together at 55 and the bars on both sides of the center are roughly equal in height, indicating a fairly even distribution. Therefore, the histogram is symmetric.
Can I please get help it's an EMERGENCY!
The number of hours it will take the same dog to run 26 1/10 miles is 7.2 hours
How long will it take the dog to run 26 1/10 miles?7 1/4 miles in 2 hours
26 1/10 miles in x hours
Equate miles ratio hours
7 ¼ miles : 2 hours = 26 ⅒ miles : x hours
7.25 / 2 = 26.10 / x
cross product
7.25 × x = 26.10 × 2
7.25x = 52.20
divide both sides by 7.25
x = 52.20 / 7.25
x = 7.2 hours
Ultimately, it will take 7.2 hours for the dog to run 26⅒ miles.
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