a discount voucher offering 15% off is used to pay a bill. after using the voucher the bill is reduced to 36.72. how much was the bill before applying the voucher discount

Answers

Answer 1

Answer:

We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.

36.72/x = 85/100

Solve for x.

x=36.72/0.85

x=43.2

So, the bill was $43.20 before applying the voucher discount of 15% off.

Answer 2

Answer:

The answer is 244.80

You can calculate this by taking 36.72 and dividing it by 0.15 (15%). You would do this because it is the opposite of multiplying an original number by 0.15 (15%) to get 36.72.

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Help me plssssssssed

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Answer:

From the 1st picture to the 2nd it is an reduction

Step-by-step explanation:

There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?

Answers

There are 60 more girls

Final answer:

There are 420 students divided into 7 parts due to the ratio of girls to boys being 4:3. With one part totaling 60 students, there are 240 girls and 180 boys. Thus, there are 60 more girls than boys.

Explanation:

To solve this problem, you need to understand the concept of ratios. In this case, the ratio of girls to boys is 4:3. This means that for every 4 girls, there are 3 boys. If we add the two parts of the ratio together, we get 7 parts. This means that the total number of students, which is 420, is to be divided into 7 parts.

So, one part of this ratio is equal to 420 divided by 7, which equals 60 students. Since the ratio claims there are 4 parts of girls and 3 parts of boys, to find out the numbers of girls and boys, we multiply each part of the ratio by 60. Hence, the total number of girls is 4 multiplied by 60, which equals 240 and the number of boys is 3 multiplied by 60, which equals 180.

Therefore, the difference in number between girls and boys is 240 minus 180, which equals 60. So there are 60 more girls than boys.

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A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1003 adults living in the United States by telephone. Of these, 462 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering.A) Identify the sample size and the count.
B) Calculate the sample proportion.
C) Explain the relationship between the population proportion and the sample proportion.

Answers

Answer:

Given:

n = 1003

$p' = (462)/(1003) = 0.4606$

q = 1 - 0.4606 = 0.5394

a) The sample size and count.

Here the sample size is the number that took part in the poll. It is denoted as n = 1003.

The count is the number that answered yes. Count = 462

b) The sample proportion.

The formula for sample proportion is: $p' = (x)/(n)$

Therefore, sample proportion =

$p' = (462)/(1003) = 0.4606$

c) The relationship between population proportion and sample proportion.

Since the sample size is greater than 30 (n>30), the sample size is large. Hence, for a large sample, the population proportion is approximately equal to the sample proportion.

This means the population proportion, p = 0.4606

Answer:

A) Sample size n=1003

Count x=462

B) Sample proportion p=0.46

C) The population proportion can be estimated with a confidence interval, with the information given by the sample proportion.

The 95% confidence interval for the population proportion is (0.429, 0.491).

Step-by-step explanation:

A) The sample size include all the adult that answer the poll. The sample size is then n=1003.

The count is the number of adults that answer Yes in this case. The count is x=462.

B) The sample proportion can be calculated dividing the count by the sample size:

$p=(x)/(n)=(462)/(1003)=0.46$

C) The population proportion is not known. It can only be estimated with the information given by samples of that population. The statistical inference is the tool by which the sample information can be used to estimate the population characteristics.

With the sample proportion p we can estimate a confidence interval for the population proportion.

We can calculate a 95% confidence interval.

The standard error of the proportion is:

$\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.46*0.54)/(1003)}\n\n\n \sigma_p=√(0.00025)=0.0157$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.0157=0.031$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.46-0.031=0.429\n\nUL=p+z \cdot \sigma_p = 0.46+0.031=0.491$

The 95% confidence interval for the population proportion is (0.429, 0.491).

We have 95% that the population proportion is within this interval

Y=6cosx^2 (derivative)

Answers

dy/dx = d/dx 6cosx^2
= 12cosx d/dx cosx
= 12cosx (-sinx)
= -12cosxsinx

Find the length of “c” to the nearest tenth using the Pythagorean Theorem.

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Answers

Answer:

10.6

Step-by-step explanation:

you do 7 squared + 8 squared to get 113. the square root of 113 rounded to the nearest tent is 10.6

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Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients. She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Answers

The number of apples are 2 and number of bananas is 10.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients.

She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total.

On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Let Bananas is denoted by B and Apples are represented by A.

A+B=12...(1)

5A+7B<80...(2)

A=12-B

Substitute in equation 2.

5(12-B)+7B=80

60-5B+7B=80

60+2B=80

Subtract 60 on both sides.

2B=80-60

2B=20

Divide both sides by 2.

B=10

A+B=12

A+10=12

A=2

Hence, the number of apples are 2 and number of bananas is 10.

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Answer:

Step-by-step explanation:

The answer is 10 bananas and 2 apples

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