Answer:
18.67
Step-by-step explanation:
my calculate ratio results
Multiply fraction or mixed number by a whole number 3 x 3/5
Answer:
To multiply a whole number and a fraction, we can simply multiply the whole number with the numerator of the fraction and keep the denominator the same.
So, 3 x 3/5 = (3 x 3)/5 = 9/5
Therefore, 3 x 3/5 = 9/5.
Answer:
Step-by-step explanation:
9x/5
Conduct a survey with a minimum of 20 people.Complete the designed questionnaire in 1.2.Remind participants why your doing the survey and that their information will kept confidential
Some of the tips which is used to conduct a survey are:
Determine the purpose of the survey and define the population of interest.Design the questionnaire and ensure that the questions are clear and concise.Select a sample from the population and distribute the questionnaire to the participants.Remind participants why you are conducting the survey and assure them that their responses will be kept confidential.What is the need to conduct a survey (questionnaire)?Conducting a survey is an important tool for gathering information from a large and diverse group of people. Its allows allow researchers to obtain data from a representative sample of the population, which can then be used to make informed decisions, identify trends, and measure changes over time.
Also important, its can provide insight into people's attitudes, beliefs, and behaviors, which can be valuable in developing marketing strategies, designing programs and policies, and making important decisions.
A paragraph in a designed questionnaire which can remind participants why your doing the survey and that their information will kept confidential is as follows: "Thank you for taking the time to participate in this survey. The purpose of this questionnaire is to gather information about your experiences and opinions on a particular topic. Your participation is crucial to help us gain insights and make informed decisions. All of the information provided in this survey will be kept strictly confidential and will only be used for research purposes".
Full question "In a designed questionnaire, remind participants why your doing the survey and that their information will kept confidential".
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Marcia Gadzera wants to retire in San Diego when she is 65 years old. Marcia is now 50 and believes she will need $90,000 to retire comfortably. To date, she has set aside no retirement money. If she gets interest of 10% compounded semiannually, how much must she invest today to meet her goal of $90,000?
Answer:
Step-by-step explanation:
We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:
FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)
where:
FV = future value of the annuity
PMT = payment (or deposit) made at the end of each compounding period
r = annual interest rate
n = number of compounding periods per year
t = number of years
In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:
Marcia wants to retire in 15 years (when she is 65), so t = 15
The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2
Marcia wants to have $90,000 in her retirement account
Substituting these values into the formula, we get:
$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)
Simplifying the formula, we get:
PMT = $90,000 / [(1.025)^30 - 1] / 0.025
PMT = $90,000 / 19.7588
PMT = $4,553.39 (rounded to the nearest cent)
Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.
Consider the initial value problem y⃗ ′=[33????23????4]y⃗ +????⃗ (????),y⃗ (1)=[20]. Suppose we know that y⃗ (????)=[−2????+????2????2+????] is the unique solution to this initial value problem. Find ????⃗ (????) and the constants ???? and ????.
The unique solution to the initial value problem of differential equation is y(t) = -t^2 + 2t + 3sin(3t) - 1 with e(t) = -t^2 + 2t + 3sin(3t) - 9, a = 2, and B = -21.
To find the solution to the initial value problem, we first need to solve the differential equation.
Taking the derivative of y(t), we get:
y'(t) = -2t + a
Taking the derivative again, we get:
y''(t) = -2
Substituting y''(t) into the differential equation, we get:
y''(t) + 2y'(t) + 10y(t) = 20sin(3t)
Substituting y'(t) and y(t) into the equation, we get:
-2 + 2a + 10(-2t + a) = 20sin(3t)
Simplifying, we get:
8a - 20t = 20sin(3t) + 2
Using the initial condition y(0) = 2, we get:
y(0) = -2(0) + a = 2
Solving for a, we get:
a = 2
Using the other initial condition y'(0) = 21, we get:
y'(0) = -2(0) + 2(21) + B = 21
Solving for B, we get:
B = -21
Therefore, the solution to the initial value problem is:
y(t) = -t^2 + 2t + 3sin(3t) - 1
Thus, we have e(t) = y(t) - 8, so
e(t) = -t^2 + 2t + 3sin(3t) - 9
and a = 2, B = -21.
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_____The given question is incomplete, the complete question is given below:
Consider the initial value problem >= [22. 2.1]+20). 361) = [2] Suppose we know that (t) = -2t + a 21? + is the unique solution to this initial value problem. Find e(t) and the constants and B. a = B= 8(t) =
A cube of sugar is 2cm wide. Calculate the number of cube in a box 720cm³
Answer:
V=lwh
=2×2×2=8
720÷8=90
90 cubes
Question 7 (2 points)
A survey asked 1,000 people if they invested in Stocks or Bonds for retirement. 700
said they invested in stocks, 400 said bonds, and 300 said both.
How many invested in stocks or bonds?
Note: consider making a Venn Diagram to help solve this problem.
300
500
800
100
Answer: To solve this problem, we can use the formula:
Total = Stocks + Bonds - Both
where "Total" represents the total number of people who invested in either stocks or bonds.
Plugging in the given values, we get:
Total = 700 + 400 - 300
Total = 800
Therefore, 800 people invested in stocks or bonds.
Step-by-step explanation:
Assume that x and y have been defined and initialized as int values. The expression
!(!(x < y) || (y != 5))
is equivalent to which of the following?
(x < y) && (y = 5)
The expression (x < y) && (y == 5) is an alternative way of writing the original expression, and it will be true only if two conditions are met: first, x is smaller than y, and second, y is equal to 5.
The expression !(!(x < y) || (y != 5)) is equivalent to:
(x < y) && (y == 5)
To see why, let's break down the original expression:
!(!(x < y) || (y != 5))
= !(x >= y && y != 5) (by De Morgan's laws)
= (x < y) && (y == 5) (by negating and simplifying)
So, the equivalent expression is (x < y) && (y == 5). This expression is true if x is less than y and y is equal to 5.
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Complete question:
Assume that x and y have been defined and initialized as int values. The expression
!(!(x < y) || (y != 5))
is equivalent to which of the following?
(x < y) && (y = 5)
(x < y) && (y != 5)
(x >= y) && (y == 5)
(x < y) || (y == 5)
(x >= y) || (y != 5)
which piece of required information is missing from the following prescription?premarin tabs0.625 mg
The given prescription lacks important information about the frequency and route of administration. Knowing how often a medication should be taken and how it should be administered is crucial for ensuring that patients receive the appropriate dose and achieve the desired therapeutic effect.
Without the frequency information of how (e.g., orally, intravenously, etc.) and when (e.g., daily, twice daily, etc.) to take medicine on prescription, patients may take the medication incorrectly or miss doses, potentially leading to ineffective treatment or adverse effects.
Healthcare providers should always provide clear and complete instructions for medication use to ensure patient safety and optimal treatment outcomes.
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A simple random sample of size n is drawn. The sample mean, x, is found to be 18.1, and the sample standard deviation, s, is found to be 4.1.
(a) Construct a 95% confidence interval about u if the sample size, n, is 34.
Lower bound: Upper bound:
(Use ascending order. Round to two decimal places as needed.)
In response to the stated question, we may state that Hence, the 95% CI function for u is (16.72, 19.48), rounded to two decimal places in increasing order.
what is function?In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.v
We use the following formula to create a confidence interval around the population mean u:
CI = x ± z*(s/√n)
where x represents the sample mean, s represents the sample standard deviation, n represents the sample size, z represents the z-score associated with the desired degree of confidence, and CI represents the confidence interval.
Because the degree of confidence is 95%, we must calculate the z-score that corresponds to the standard normal distribution's middle 95%. This is roughly 1.96 and may be determined with a z-table or calculator.
CI = 18.1 ± 1.96*(4.1/√34)
CI = 18.1 ± 1.96*(0.704)
CI = 18.1 ± 1.38
Hence, the 95% CI for u is (16.72, 19.48), rounded to two decimal places in increasing order.
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5. Jeni put a cake in the
oven at 2:30. If the
cake takes 1 hours
to bake, at what time
should it be taken
out of the oven? What the answer
Answer:
3:30
Step-by-step explanation:
We know
Jeni put a cake in the oven at 2:30. The cake takes 1 hour to bake.
What time should it be taken out of the oven?
We take
2:30 + 1 = 3:30
So, it should be taken out of the oven at 3:30
pls helppppppp explain !!!
Answer:
x²
Step-by-step explanation:
[tex]{ \tt{ \frac{ {x}^{ - 3} . {x}^{2} }{ {x}^{ - 3} } }} \\ \\ \dashrightarrow{ \tt{x {}^{( - 3 + 2 - ( - 3))} }} \\ \dashrightarrow{ \tt{ {x}^{( - 3 + 2 + 3)} }} \: \: \: \: \\ \dashrightarrow{ \boxed{ \tt{ \: \: \: \: {x}^{2} \: \: \: \: \: \: }}} \: \: \: \: [/tex]
Pls help, due tmr and confused..
The nearest whole number, which is 9. So the middle apartment number for house 17 is 9.
What is apartment?An apartment is a self-contained housing unit that occupies only part of a building. Apartments typically consist of one or more bedrooms, a kitchen, a living room, and a bathroom, and usually include amenities such as heating, air conditioning, and appliances. Apartments are usually rented, though some are owned. Living in an apartment can be a great way to save money, as apartments are often more affordable than larger homes.
The rule is to take the house number and divide it by two and round up to the nearest whole number. This will give the middle apartment number. For example, if the house number is 17, divide it by two which equals 8.5, and then round up to the nearest whole number, which is 9. So the middle apartment number for house 17 is 9.
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3.4 3.2 3.3 5m 3.142 Radius of semi-circie = 5.5m Area of cir Au 35m YOGA TWEM Define the word Perimeter in this context. Calculate the length of the swimming pool. If the circumference of the semi-circle is 17 3m. Calculate tl. total perimeter of the swimming pool. Calculate the total area of the floor of the swimm You may use the given formu
In the context of a semi-circle, the perimeter refers to the total distance around the curved edge of the semi-circle. It is calculated by adding the length of the straight edge (diameter) to half the circumference of the semi-circle.
The total area of the floor of the swimming pool is 23.86 square meters.
How to calculate the valueThe diameter of the semi-circle is twice the radius, so the diameter is 2 × 5.5m = 11m.
Therefore, the perimeter of the semi-circle is:
Perimeter = Diameter + Circumference/2
Perimeter = 11m + 17.3m/2
Perimeter = 20.3m
The length of the swimming pool is equal to the perimeter of the semi-circle, which is 20.3 meters.
To calculate the total area of the floor of the swimming pool, we need to find the area of the semi-circle. The formula for the area of a semi-circle is:
Area = πr²/2
where π is a constant approximately equal to 3.14 and r is the radius of the semi-circle.
In this case, the radius is 5.5m, so the area of the semi-circle is:
Area = π(5.5m)²/2
Area = 47.71m²/2
Area = 23.86m²
Therefore, the total area of the floor of the swimming pool is 23.86 square meters.
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Radius of semi-circle = 5.5m Define the word Perimeter in this context. Calculate the length of the swimming pool. If the circumference of the semi-circle is 17 3m. Calculate the total area of the floor of the swimming pool.
Which is not a good way to protect yourself from fraud? O A. Keeping your personal information private B. Shredding or locking up your important documents OC. Using encrypted websites when entering bank account information D. Sharing your passwords with others
15. Math. The poissonier receives 30 lb.. 4 oz. of
dressed mahi-mahi. After filleting and skinning.
13 lb.. 12 oz. of fillets were produced. What
is the yield percentage of the fillets? If the
whole dressed mahi-mahi was purchased
for $5.85/b.. what is the per pound cost of
the fillets?
Answer:
To find the yield percentage of the fillets, we need to divide the weight of the fillets by the weight of the dressed mahi-mahi and then multiply by 100 to get a percentage:
Yield percentage = (Weight of fillets / Weight of dressed mahi-mahi) x 100%
First, we need to convert the weights to a common unit, such as ounces:
Weight of dressed mahi-mahi = 30 lb. 4 oz. = 484 oz.
Weight of fillets = 13 lb. 12 oz. = 220 oz.
Now we can calculate the yield percentage:
Yield percentage = (220 oz. / 484 oz.) x 100% = 45.45%
So the yield percentage of the fillets is 45.45%.
To find the per pound cost of the fillets, we need to divide the total cost of the dressed mahi-mahi by its weight in pounds, and then multiply by the yield percentage to get the cost per pound of fillets:
Total cost of dressed mahi-mahi = 30.25 lb. x $5.85/b. = $176.96
Weight of dressed mahi-mahi in pounds = 30.25 lb.
Weight of fillets in pounds = 13.75 lb.
Cost per pound of fillets = (Total cost of dressed mahi-mahi / Weight of dressed mahi-mahi) x Yield percentage / 100%
Cost per pound of fillets = ($176.96 / 30.25 lb.) x 45.45% = $3.04/lb.
Therefore, the per pound cost of the fillets is $3.04/lb.
The scale on a map is 1:320000
What is the actual distance represented by 1cm?
Give your answer in kilometres.
By answering the presented question, we may conclude that Therefore, 1 expressions cm on the map corresponds to a real distance of 3.2 km.
what is expression ?In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
Scale 1:
320000 means that 1 unit on the map represents his 320000 units in the real world.
To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.
1 kilometer = 100000 cm
So,
1 unit on the map = 320000 units in the real world
1 cm on the map = (1/100000) km in the real world
Multiplying both sides by 1 cm gives:
1 cm on the map = (1/100000) km * 320000
A simplification of this expression:
1 cm on the map = 3.2 km
Therefore, 1 cm on the map corresponds to a real distance of 3.2 km.
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PLEASE HELP ME YOU WILL BE MARKED BRAINLIEST!!!1
The experimental probability of winning the contest based on the data of all 3 games is 0.432.
What is experimental probability ?
Experimental probability is a measure of the likelihood of an event occurring based on the results of an experiment or observation. It is determined by dividing the number of times the event occurred by the total number of trials or observations. The more trials or observations conducted, the more accurate the experimental probability will be. Experimental probability is often used in situations where the probability of an event cannot be determined theoretically or where the theoretical probability is difficult to calculate. It is also commonly used in scientific experiments, market research, and other fields where the results of an experiment or observation can be used to make predictions or inform decisions.
Finding the experimental probability of winning the contest :
In this case, the event is winning the contest by choosing a marble from a bag, and the trials are the three games played by Hal.
Total number of players in all three games = 123 + 155 + 172 = 450
Total number of winners in all three games = 52 + 63 + 65 = 180
Experimental probability of winning the contest = Number of winners / Total number of players = 180/450 = 0.432
Therefore, the experimental probability of winning the contest based on the data of all 3 games is 0.432.
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Find the product of 3√20 and √5 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
Answer:
30, rational
Step-by-step explanation:
[tex]3\sqrt{20}\cdot\sqrt{5}=3\sqrt{4}\sqrt{5}\cdot\sqrt{5}=(3\cdot2)\cdot5=6\cdot5=30[/tex]
The result is rational because it can be written as a fraction of integers.
he is paid $22.60 an hour. He normally earns $904 each week. Last week he worked an extra 3 hours at time-and-a-half
his total income last week = $
Answer:
971.8
Step-by-step explanation:
PLEASE HELP! 15 POINTS!!
Answer:
We can use similar triangles to solve this problem. Let's denote the height of the tree as h. Then, we can set up the following proportion:
h / 120 = 6 / 10
Cross-multiplying and simplifying, we get:
10h = 720
h = 72
Therefore, the height of the tree is 72 feet
3. The total number of Democrats and Republicans in the US House of Reps during the 115th
year was 434. There were 46 fewer Democrats than Reps. How many were there of each
party?
Answer:
Step-by-step explanation:
subtract 434-46
Find the values of x and y. ADEF = AQRS
(5y-7) ft
D
E
123⁰
F
S
S
(2x + 2)° R
= 0, y =
Q
38 ft
P
As the two triangles are congruent to each other, using that we can get the value of x = 13 and y = 9.
What are congruent triangles?Whether two or more triangles are congruent depends on the size of the sides and angles. As a result, a triangle's three sides and three angles determine its size and shape.
Two triangles are said to be congruent if their respective side and angle pairings are both equal.
Now in the given question,
The triangles are congruent so,
ED = QR
5y -7 = 38
⇒ 5y = 38+7
⇒ y = 45/5
⇒ y = 9
Now as the sum of angles in a triangle are 180°,
∠E +∠D +∠F = 180°
⇒ ∠F = 180 - 123 - 29
⇒ ∠F = 28°
As per congruency,
(2x+2) ° = 28°
⇒ 2x = 28-2
⇒ x = 26/2
⇒ x = 13
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The complete question is:
Find the values of x and y. ADEF = AQRS
(5y-7) ft
D
E
123⁰
F
S
S
(2x + 2)° R
= 0, y =
Q
38 ft
P
A box containing 5 balls costs $8.50. If the balls are bought individually, they cost $2.00 each. How much cheaper is it, in percentage terms, to buy the box as opposed to buying 5 individual balls?
Answer: The total cost of buying 5 balls individually is $2.00 x 5 = $10.00.
The box costs $8.50, which means it is $10.00 - $8.50 = $1.50 cheaper to buy the box.
To calculate the percentage difference, we can use the formula:
% difference = (difference ÷ original value) x 100%
In this case, the difference is $1.50, and the original value is $10.00.
% difference = ($1.50 ÷ $10.00) x 100%
% difference = 0.15 x 100%
% difference = 15%
Therefore, it is 15% cheaper to buy the box than to buy 5 individual balls.
Step-by-step explanation:
Calculate the frequency in hertz of electromagnetic radiation that has a wavelength of 585.0 nm. (c = 3.00 X 10⁸ m/s)
The frequency in hertz of electromagnetic radiation which has a wavelength of 585nm is 5.13×10¹⁴ Hz.
The frequency(f) of electromagnetic radiation is related to its wavelength (λ) by the equation : f = c/λ;
Where, c = the speed of light in a vacuum, which is 3.00×10⁸ m/s.
So, to calculate the frequency of radiation with a wavelength of 585.0 nm, we need to convert the wavelength to meters:
⇒ 585.0 nm = 585.0×10⁻⁹ m;
Substituting the value in the above formula,
We get,
⇒ f = c/λ = 3.00×10⁸/(585.0×10⁻⁹)
⇒ 5.13×10¹⁴ Hz.
Therefore, the frequency of electromagnetic radiation is approximately 5.13 × 10¹⁴ Hz.
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Let f(x)=-3x-1 and g(x)=x - 4 Find (fxg)(-1).
The value of the equation (fxg)(-1) is 10.
What is Equation?An equation is a mathematical statement that shows that two expressions are equal. It usually includes variables, which are represented by letters or symbols, and constants, which are fixed values.
What are the different types of Equations?There are several types of equations in mathematics. Here are some of the most common types:
Linear equation: An equation of the form "ax + b = c", where "a", "b", and "c" are constants and "x" is the variable. The graph of a linear equation is a straight line.Quadratic equation: An equation of the form "ax² + bx + c = 0", where "a", "b", and "c" are constants and "x" is the variable. The graph of a quadratic equation is a parabola.
Cubic equation: An equation of the form "ax³ + bx² + cx + d = 0", where "a", "b", "c", and "d" are constants and "x" is the variable. The graph of a cubic equation is a curve that can have one or two humps.
In the given question,
To find (f x g)(-1), we need to evaluate the product of f(-1) and g(-1).
First, we find f(-1):
f(-1) = -3(-1) - 1 = 2
Next, we find g(-1):
g(-1) = -1 - 4 = -5
Now, we can find the product (f x g)(-1):
(f x g)(-1) = f(-1) x g(-1) = 2 x (-5) = -10
Therefore, (f x g)(-1) = -10.
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How many different strings of length 12 containing exactly five a's can be chosen over the following alphabets? (a) The alphabet {a,b) (b) The alphabet {a,b,c}
There are 792 strings across a,b, and 27,720 in a,b,c.
(a) We must select five slots for a's in an alphabet of "a,b" before filling the remaining spaces with "b's." Hence, the binomial coefficient is what determines how many strings of length 12 that include precisely five as:
C(12,5) = 792
As a result, there are 792 distinct strings of length 12 that include exactly five a's across the letters a, b.
(b) We may use the same method as before for an alphabet consisting of the letters "a,b,c." The first five slots must be filled with a's, followed by three b's, and the final four positions must be filled with c's. The number of strings of length 12 that contain exactly five a's across the letters "a," "b," and "c" is thus given by:
C(12,5) * C(7,3) = 792 * 35 = 27720
Thus, there are 27,720 distinct strings.
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Work out x. Area=194
Please help due in 2 hourss
Step-by-step explanation:
Please mark as brainliest
solve this proportion: 5/a = 3/4
Answer:
[tex]a = \frac{20}{3}[/tex]
Step-by-step explanation:
A fair coin is tossed five times. What is the theoretical probability that the coin lands on the same side every time?
A) 0.1
B) 0.5
C) 0.03125
D) 0.0625
Answer:
Step-by-step explanation:
The theoretical probability of getting the same side every time in a single coin toss is 1/2. Since we have five independent coin tosses, we can calculate the probability of getting the same side every time by multiplying the probability of getting the same side in each toss:
(1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32
Therefore, the theoretical probability of getting the same side every time in five coin tosses is 1/32, which is equivalent to 0.03125. So, the answer is (C) 0.03125.
What is the perimeter of the football field without the end zones?
Answer:
30623 yards
Step-by-step explanation:
Answer:
In the NFL, the perimeter of a football field, excluding the end zones, is 30623 yards. The field is how many feet wide... A football field in the United States is 120 yards long (including the end zones).
Step-by-step explanation:
Brainliest pls
