A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey. How many pounds of turkey will you need to buy?

Answers

Answer 1
Answer:

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

2\cdot(3)/(4)=(3)/(2)

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

15\cdot(3)/(2)=22.5~pounds

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63


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If 60% of a given number is 18.0 what is 25% of the given number​

In a random sample of 500 college students, 23% say that they read or watch the news every day. Develop a 90% confidence interval for the proportion of all students who read or watch the news on a daily basis. Interpret your results. If you wanted to develop a 95% confidence interval with a margin of error of .01, how many students would need to be surveyed?

Answers

Answer:

The 90% confidence interval is  0.199 <  p < 0.261

The sample size to develop a 95% confidence interval is n = 2032  

Step-by-step explanation:

From the question we are told that

   The sample size is n =500

    The sample proportion is  \^ p = 0.23

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  (\alpha )/(2) is  

   Z_{(\alpha )/(2) } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{(\alpha )/(2) } * \sqrt{(\^ p (1- \^ p))/(n) }

=>   E =  1.645 * \sqrt{(0.23 (1- 0.23))/(500) }

=>   E =  0.03096

Generally 90% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.23  -0.03096  <  p < 0.23  +  0.03096

=>   0.199 <  p < 0.261

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  (\alpha )/(2) is  

   Z_{(\alpha )/(2) } =  1.96

The margin of error is given as E = 0.01

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{(\alpha )/(2) }}{E} ]^2 * \^ p (1 - \^ p )

=>    n = [(1.96 )/(0.01) ]^2 *0.23 (1 - 0.23 )      

=>    n = 2032  

A bell tower casts a 60 cm shadow. At the same time a sculpture that is 4.5 meters tall casts a 15 cm shadow. How tall is the bell tower

Answers

Answer: 18

Step-by-step explanation:

x/4.5= 60/15

15x=270

X = 18cm

You have 137.26 in a bank account. The bank requires you to have at least 50$ in your account or else you are charged a fee. Write and solve an inequality that represents the amount you can write for your next check for without being charged

Answers

The inequality represents the amount you can check for without being charged is x + 50 ≤ 137.26 and its solution is x ≤ $87.26.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

You have 137.26 dollars in your bank account. If you do not have at least $50 in your account, you will be charged a fee.

Let x be the amount of can be taken from the account without being charged.

x + 50 ≤ 137.26

Simplify the inequality, then the value of 'x' will be

x + 50 ≤ 137.26

x ≤ 137.26 - 50

x ≤ $87.26

The inequality represents the amount you can check for without being charged is x + 50 ≤ 137.26 and its solution is x ≤ $87.26.

More about the inequality link is given below.

brainly.com/question/19491153

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Answer: x ≤ 87.26

Step-by-step explanation:

137.26-x=50

x=87.26

you can withdraw 87.26 or less, so the inequality is: x ≤ 87.26

Mary runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?

Answers

7 miles / 60 minutes = x miles / 24 minutes

cross multiply and simplify to get 2.8 miles. 

So, Mary can run 2.8 miles in 24 minutes at the same rate. 

If X=2 Y=3 then, xy^2

Answers

The value of the given expression for the given value is 18.

Given that, x=2 and y=3.

We need to find the value of xy².

How to find the value of the expression?

To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Now, xy²=2×3²

=18

Therefore, the value of the given expression for the given value is 18.

To learn more about of value of the expression visit:

brainly.com/question/23671908.

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Answer:

if it is

xy² then 2*3²= 18

if (xY)²=6²=36

Step-by-step explanation:

Prove
cos A /(1- sin A) = (1 + sin A)/cos A​

Answers

Answer:

answer is in exaplation

Step-by-step explanation:

cosA

+

cosA

1+sinA

=2secA

Step-by-step explanation:

\begin{lgathered}LHS = \frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=\frac{cos^{2}A+(1+sinA)^{2}}{(1+sinA)cosA}\\=\frac{cos^{2}A+1^{2}+sin^{2}A+2sinA}{(1+sinA)cosA}\\=\frac{(cos^{2}A+sin^{2}A)+1+2sinA}{(1+sinA)cosA}\\=\frac{1+1+2sinA}{(1+sinA)cosA}\end{lgathered}

LHS=

1+sinA

cosA

+

cosA

1+sinA

=

(1+sinA)cosA

cos

2

A+(1+sinA)

2

=

(1+sinA)cosA

cos

2

A+1

2

+sin

2

A+2sinA

=

(1+sinA)cosA

(cos

2

A+sin

2

A)+1+2sinA

=

(1+sinA)cosA

1+1+2sinA

/* By Trigonometric identity:

cos² A+ sin² A = 1 */

\begin{lgathered}=\frac{2+2sinA}{(1+sinA)cosA}\\=\frac{2(1+sinA)}{(1+sinA)cosA}\\\end{lgathered}

=

(1+sinA)cosA

2+2sinA

=

(1+sinA)cosA

2(1+sinA)

After cancellation,we get

\begin{lgathered}= \frac{2}{cosA}\\=2secA\\=RHS\end{lgathered}

=

cosA

2

=2secA

=RHS

Therefore,

\begin{lgathered}\frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=2secA\end{lgathered}

1+sinA

cosA

+

cosA

1+sinA

=2secA