Answer:
1. Angles 2, 3 and angles 1,3 are complementary angles(Given)
2. To prove :
Since Angles 2, 3 and angles 1,3 are complementary.
When angles are complementary, then the sum of the measures of angles is 90 degrees.
So, and (Definition of Complementary angles)
3. (Substitution)
4. (Subtraction property of equality)
Step-by-step explanation:
If you roll a standard number cube 42 times, how many times do you expect the cube to show a five?
Round your answer to the nearest whole number if needed.
Answer:
5
Step-by-step explanation:
this is probability
probability of 5 occuring once is = 5/42=0.119
therefore, probability of 5 occuring in 42 times is;
42 x 0.119=4.998
approximately 5
S is the centroid of the triangle. Find IT if ST= 9
Answer:
IT = 13.5
Step-by-step explanation:
Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.
This means that:
ST = ⅔(IT)
ST = 9 (given)
Substitute
9 = ⅔(IT)
Multiply both sides by 3
3*9 = 2(IT)
27 = 2(IT)
Divide both sides by 2
27/2 = IT
IT = 13.5
There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two horses to ride with her friend. What is the probability that
the first horse selected is tan and the second horse selected is brown?
20/81
5/18
2/9
1/20
Answer:
5/18
Step-by-step explanation:
The total number of horses present is 9
The probability that the first selected horse is tan is 4/9
So , now for the second choice , we are left with 8 total horses of which 5 is brown
The probability is 5/8
So the joint probability is the product of this two
That will be;
5/8 * 4/9 = 5/18
A ball is thrown into the air with an upward velocity of 36 ft/s. It’s height h in feet after t seconds is given by the function h = -16t^2 + 36t + 9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height ?
Answer:
Time taken for the ball to hit the ground back = 3.08 s
Step-by-step explanation:
h(t)= -16t² + 48t + 4
when will rhe object come back to hit rhe ground?
When the ball is at the level.of the ground, h(t) = 0.
0 = -16t² + 48t + 4
-16t² + 48t + 4 = 0
Solving the quadratic equation
t = 3.08 s or t = -0.08 s
Since the time cannot be negative,
Time taken for the ball to hit the ground back = 3.08 s
Hope this Helps!!!
Step-by-step explanation:
To make a disinfecting solution, Alana mixes 2 cups of bleach with 5 cups of
water. What is the ratio of water to the total amount of disinfecting solution?
Answer:
Step-by-step explanation:
Ok
Second time posting this. Please help!! :)
Answer:
Step-by-step explanation:
[tex]\frac{480+24(x-40)}{x}[/tex]
The numerator of the rational expression the money he earned for 'x' hours
The rate at which William is paid for each hour in excess of 40 hours 24.
x = 50 hours = (40 + 10 ) hours
The amount paid for excess 10 hours = 24 *10 = 240
Total amount earned for the week = 480 + 240 = 720
Identify the range of the function shown in the graph.
Answer: The answer is all real numbers
Step-by-step explanation:
This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.
what is 8^100 / 8^50 is 8^50?
Answer:
8^50
Step-by-step explanation:
8^100 / 8^50
We know that a^b / a^c = a^(b-c)
8^(100-50)
8^50
A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascends 112.2 feet. What is her current depth?
Negative 549.3 feet
Negative 59.3 feet
59.3 feet
549.3 feet
Answer:
Step-by-step explanation:
starting point: 140 feet below sea level.=-140
she then decends= 7(4.5)=31.5
-140-31.5=-171.5
finally she ascends 112.2 feet
-171.5+112.2=-59.3 feet or 59.3 feet below sea level
Answer:
It's B
Step-by-step explanation:
Three events A, B and C are defined over a sample space, S. Events A and B are independent. Events A and C are mutually exclusive. Given that P(A)= 0.04, P(B)=0.25, P(C)=0.20 and P(B/C)=0.15. Find for P(C/B)
Answer:
[(b/c)=0.15)]
Step-by-step explanation:
===================================================
Work Shown:
P(B/C) = P(B and C)/P(C) ... conditional probability formula
P(B and C) = P(C)*P(B/C)
P(B and C) = 0.20*0.15
P(B and C) = 0.03
------------
P(C/B) = P(C and B)/P(B) .... note the swap of B and C
P(C/B) = P(B and C)/P(B)
P(C/B) = (0.03)/(0.25)
P(C/B) = 0.12
------------
Extra notes:
The fact that events A and B are independent is not relevant.The fact A and C are mutually exclusive isn't used here either.This problem can be solved through Bayes' Theorem.Another alternative you can do is to set up a 3 by 3 contingency table to help solve this problem.Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).
Answer:
Ax + By = C is standard form.
y + 1 = (2/3)(x - 8)
distribute the (2/3)
y + 1 = (2/3)x - (16/3)
Multiply each term by 3 to clear the fractions.
3y + 3 = 2x - 16
Subtract 2x from both sides.
-2x + 3y + 3 = - 16
Subtract 3 from both sides.
-2x + 3y = - 19
Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.
2x - 3y = 19
Step-by-step explanation:
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
got it right on edge
write an equation of the circle with center (-2,-9) and radius 10
Answer:
[tex](x+2)^{2}[/tex] + [tex](y+9)^{2}[/tex] = 100
Step-by-step explanation:
Standard Equation of a Circle
[tex](x-h)^{2}[/tex] + [tex](y-k)^{2}[/tex] = [tex]r^{2}[/tex]
(h,k) = center of circle
r = radius of circle
Substitute in given. Watch the negatives.
If the radioactive half-life of a substance is 20 days, and there are 5 grams of it initially. When will the amount left be 2 grams? Round to the nearest tenth of a day.
Answer: [tex]26.4\ \text{days}[/tex]
Step-by-step explanation:
Given
Half life of radioactive substance is [tex]T_{\frac{1}{2}}=20\ \text{days}[/tex]
Initial amount [tex]A_o=2\ \text{days}[/tex]
Amount left at any time is given by
[tex]\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}[/tex]
It takes 26.4 days to reach 2 gm.
Grade improvement and study motivation
Answer:
yes you are write because when our results come with good marks and grade the we are motivate .
Step-by-step explanation:
thanks mark me brainlist
Solve the proportion.
14
y +9
-
10
15
y = [?]
Answer:
y=12
Step-by-step explanation:
14 10
----- = --------
y+9 15
Using cross products
14*15 = 10 (y+9)
210 = 10(y+9)
Divide by 10
210/10 = 10(y+9)/10
21 = y+9
Subtract 9
21-9 = y
12 =y
find the missing length indicated.
Answer:
The answer is 192 bestie btw im a freshmen
Step-by-step explanation:
What number is 22 ten-thousandths more than 1 1/2?
Answer:
1.50000
.00022
1.50022
Step-by-step explanation:
The number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.
Given that, 22 ten-thousandths and [tex]1\frac{1}{2} =\frac{3}{2}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let x be the unknown number.
Now, x-22/10000 = 3/2
⇒ x-0.0022=1.5
⇒ x=1.5+0.0022
⇒ x=1.5022
Therefore, the number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.
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A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.
Step-by-step explanation:
The are of rectangle is 1300.5cm2
Please help me I honestly have zero clue how to answer this question
Step-by-step explanation:
[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]
Square both sides of the equation.
[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]
[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm.
help plz plz .......
Given:
An umbrella is made by stitching 10 triangular pieces of cloth.
Each pieces measuring 48cm,48cm, and 30cm.
To find:
The cost of required to make umbrella at rate of 5 paisa per square cm.
Solution:
Area of a triangle is:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where,
[tex]s=\dfrac{a+b+c}{2}[/tex]
Each pieces measuring 48cm,48cm, and 30cm. So,
[tex]s=\dfrac{48+48+30}{2}[/tex]
[tex]s=\dfrac{126}{2}[/tex]
[tex]s=63[/tex]
Area of one triangular piece is:
[tex]A=\sqrt{63(63-48)(63-48)(63-30)}[/tex]
[tex]A=\sqrt{63(15)(15)(33)}[/tex]
[tex]A=\sqrt{467775}\text{ cm}^2[/tex]
[tex]A\approx 683.9408\text{ cm}^2[/tex]
Area of 10 triangular pieces is:
[tex]10\times 683.9408=6839.408\text{ cm}^2[/tex]
The rate is 5 paisa per square cm. So, the total cost is:
[tex]6839.408\times 5=34197.04[/tex]
Therefore, the total cost is 34197.04 paisa.
Question 18 A block has a volume of 12 cm3 and a density of 25 g/cm. Calculate the mass.
Answer:
300 gStep-by-step explanation:
Mass = volume * density
Mass = 12*25 = 300 g
Answer:
300 g
Step-by-step explanation:
density = mass / volume
25g/cm^3 = mass / 12 cm^3
25 * 12 = mass
300 = mass
-8 is a term? im wondering o homework
Answer:
Maybe
Step-by-step explanation:
If there is a number in a equation, and you can add/subtract with your number, -8, then yes, otherwise, no.
In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be
chosen for early release. How many 4-person groups are possible?
two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people
Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.
The number of possible groups is 330.
What is combination?Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
It is given as:
[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]
We have,
The total number of people:
5 Democrats and 6 Republicans = 5 + 6 = 11.
The number of persons in a group = 4.
The number of groups possible are:
= [tex]^{11}C_4[/tex]
= 11! / 4! ( 11-4)!
= 11! / 4! 7!
= 11 x 10 x 9 x 8 / 4 x 3 x 2
= 330
Thus,
The number of possible groups is 330.
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please help i will give brainliest (check both images)
Answer:
Amanda's box holds more popcorn.
Amanda's box holds 70 m³ more than Mary's.
Step-by-step explanation:
Find the volume of both boxes.
13.5 x 10 x 10 = 1350.
20 x 8 x 8 = 1280.
As clearly shown, Amanda's box holds more popcorn.
To find how much more, subtract 1,280 from 1,350 to get 70 m³.
Hope this helps!
If there is something wrong, please let me know.
Help me ASAP please!!!
Answer:
85 inches²
Step-by-step explanation:
Each triangle equals 15 inches
15(4)=60
Square= 5×5=25
60+25=85 inches²
WILL AWARD BRANLIEST !!!Triangle JKL was dilated with the origin as the center of dilation to create triangle J'K'L'. The triangle was dilated using a scale factor of 1/2.
The lengths of the sides of triangle JKL are given.
Enter the lengths of the sides of triangle J'K'L' below.
(Decimal values may be used.)
JK=6 units
J'K'= _units
KL=10.5 units
K'L'= _units
LJ=12 units
L'J'= _ units
The lengths of the new triangle after dilation are; J'K' = 3; K'L' = 5.25 and L'J' = 6
How to carry out dilation of triangles?When it comes to dilation in transformations, it could mean enlarging or reducing the triangle by a scale factor.
Now, we are given the lengths of the original triangle as;
JK = 6 units
KL = 10.5 units
LJ = 12 units
Thus, the dilation by a scale factor of 1/2 indicates a reduction. Thus, the new lengths after dilation are;
J'K' = (1/2) * 6 = 3
K'L' = (1/2) * 10.5 = 5.25
L'J' = (1/2) * 12 = 6
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In the diagram below, DE is parallel to XY. What is the value of y
122
O A. 78
B. 112
O C. 122
D. 58
The correct is 122
The required in the diagram of parallel lines is the value of y is 122°.
What are parallel lines?Parallel lines are defined as identical lines with identical orientations, parallel lines never intersect each other but meet at infinity.
Here
Given that DE is parallel to XY, we can conclude that corresponding angles are equal and vertically opposite angles are also equal. Therefore, x is equal to 122° (because vertically opposite angles are equal). Moreover, x and y are equal to 122° (because corresponding angles are equal). Hence, the value of y is also 122°.
Thus, the required in the diagram of parallel lines is the value of y is 122°.
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Make a documentary on the “Journey of Coronavirus” OR Conservation of Plants and Animals. Give an appropriate name for your documentary.
PLSS REPLY FAST
Answer:
Explanation is as follows;
Step-by-step explanation:
Fundamentals to Plant and Animal Preservation
Plants and animals are the foundation of life on Earth; it is critical to protect them from extinction by maintaining a healthy population that contributes to global biodiversity, or the variety of flora and wildlife.
Everyone in the area must actively participate in planting additional trees and preventing countless trees from being chopped down. Deforestation is the practise of chopping down trees and making a forestland barren and unsuitable for animals and birds to live in.
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?
a.distance = speed + 90
b.distance = speed × 90
c.distance − speed = 90
d.distance × 90 = speed
Answer:
b
Step-by-step explanation:
d = r * t
None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.
The 90 minutes should be changed to hours. No speedometer on a car is rated in feet per second.
The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 120 residents whose mean number of pounds of trash generated per person per week was 31.5 pounds and the standard deviation was 7.8 pounds.
Round your answers to two decimal places.
A. The sampling distribution follows a ______ distribution.
B. With 95% confidence the population mean number of pounds per person per week is between_____ and_____ pounds.
C. If many groups of 120 randomly selected people in the city are studied, then a different confidence interval would be produced from each group. About_____ percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about________ percent will not contain the true population mean number of pounds of trash generated per person per week.
Answer:
A. Normal
B. 30.1, 32.9
C. 95, 5
Step-by-step explanation:
A. The sampling distribution follows a normal distribution
Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem
B. The 95% confidence interval is given as follows;
[tex]CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}[/tex]
The number of residents in the study, n = 120 residents
The sample mean, [tex]\overline x[/tex] = 31.5 pounds
The standard deviation, s = 7.8 pounds
The z-value for 95% confidence level, z = 1.96
Therefore, we get;
C.I. = 31.5 ± 1.96 × 7.8/√(120)
The 95% C.I. ≈ 30.1 ≤ [tex]\overline x[/tex] ≤ 32.9
Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between 30.1 and 32.9
C. Therefore, according to the central limit theorem, about 95 percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about 5 percent will not contain the true population mean number of pounds of trash generated per person per week.
