Sergio bought 1.2 pounds of turkey breast at the deli counter. He paid $8.34 for theturkey. What price per pound did he pay?

Answers

Answer 1
Answer:

Answer:

.1438848921

Step-by-step explanation:

you divide 1.2 by 8.34 then multiply it by 8.34 to check

Answer 2
Answer: 6.95 because you divide 8.34 by 1.2

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A train travels 45 feet in 1/10 if a second. How far will it travel in 3.5 seconds

Answers

The distance covered by the train in 3.5 seconds will be 1575 feet.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A train travels 45 feet in 1/10 in a second.

Then the speed will be

Speed = 45 / (1/10)

Speed = 45 x 10

Speed = 450 feet per second

The distance covered by the train in 3.5 seconds will be

Distance = 450 x 3.5

Distance = 1575 feet

More about the speed link is given below.

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Answer:

1575 ft

Step-by-step explanation:

Convert 1/10 to decimal to make the math simpler.

1/10 = 0.1

Divide 3.5 by 0.1.

3.5/0.1 = 35

Multiply 35 by 45.

35 × 45 = 1575

The train will travel 1575 feet in 3.5 seconds.

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. Assume the population standard deviation is known to be 5.6 days. a. State the null and alternative hypotheses.
b. Using a critical value, test the null hypothesis at the 5% level of significance.
c. Using a p-value, test the hypothesis at the 5% level of significance.
d. What type of error may have been committed for this hypothesis test

Answers

Answer:

a) H_0: \mu\leq15\n\nH_1: \mu>15

b) The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.

c) The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.

d) In this case, the error we may hae comitted is a Type II error (failed to reject a null hypothesis that is false).

Step-by-step explanation:

We have to perfomr a hypothesis test on the mean, with known standard deviation of the population.

a) The null hypothesis is that the deliver time is 15 days or less.

The null and alternative hypothesis are then:

H_0: \mu\leq15\n\nH_1: \mu>15

The significance level is defined as 0.05.

b) The critical value of z for a one-side test (rigth side) and a significance level of 0.05 is z=1.645.

If the z-value for this sample is higher than 1.645, it is in the "rejection region".

Calculating the z-value:

z=(M-\mu)/(\sigma/√(n))=(16.2-15)/(5.6/√(49))=(1.2)/(0.8)=1.5

The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.

c) The p-value for z=1.5 is:

P(z>1.5)=0.067

The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.

d) There are two types of error:

Type I errors: happen when we reject a null hypothesis that is true.

Type II errors: happen when we failed to reject a null hypothesis that is false.

In this case, the error we may hae comitted is a Type II error.

The null hypothesis at 5% significance level is 1.50

Data;

  • n = 49
  • mean = 16.2
  • standard deviation = 5.6

Null and Alternative Hypothesis

The alternative hypothesis are

H_-;\mu \leq  15 : H_1 : \mu > 15

H_o = mean = 15

standard deviation = 5.6 days

using z-test,

n is greater than or equal to 30

Assuming standard deviation is known

z = (x-\mu)/(\sigma - √(n) ) \nz = (16.2-15)/(5.6/√(49) )\nz = 1.50

z-critical value is 1.96 at 95% confidence level.

Since z-critical value is greater than the test statistic, so we tail to subject H_o.

There's no evidence that mean delivery time is different from 15 days.

Learn more on hypothesis here;

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PLZ HELP ME GEOMETRY
question is below

Answers

The missing justification is for the statement that three angles add to a particular angle. The appropriate choice is ...

... c. Angle Addition Postulate

How many vertices does a hexagonal prism have?

Answers

It has 8 faces but 12 vertices

Find the area:

A.16
B.64
C.256
D.none of these

Answers

Answer:

  64π in²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

where r is the radius.

The radius of a circle is half the diameter. For the circle shown, the radius is ...

  r = d/2 = (16 in)/2 = 8 in

Then the area is ...

  A = π(8 in)² = 64π in²

_____

Often, units are left off, so the appropriate choice might be 64π.

_____

If you want to be technically correct (at the expense of getting your answer marked wrong), you can select "None of the above." That is because none of the offered choices have the correct units: square inches. You may want to discuss this with your teacher.

What is the sum of the polynomials?(8x^2 - 9y^2 - 4x) + (x^2 - 3y^2 - 7x)

* 7x^2 - 6y^2 + 3x
* 9x^2 - 6y^2 + 3x
* 9x^2 - 12y^2 + 3x
* 9x^2 - 12y^2 - 11x

Answers

The sum of the polynomials is 4x² - 12y² - 11x. The correct answer is an option (D) 4x² - 12y² - 11x.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The polynomials are given as follows:

(8x² - 9y² - 4x) + (x² - 3y² - 7x)

By combining like terms, we can add the polynomials:

(8x² - 9y² - 4x) + (x² - 3y² - 7x)

= 8x² - 4x² - 9y² - 3y² - 4x - 7x

= 4x² - 12y² - 11x

Therefore, the sum of the polynomials is 4x² - 12y² - 11x.

Hence, the correct answer is option (D) 4x² - 12y² - 11x.

Learn more about the polynomial here:

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Answer:

Option D

Step-by-step explanation:

(8x^2-9y^2-4x) +(x^2-3y^2-7x)

8x^2+x^2-9y^2-3y^2-4x-7x

9x^2-12y^2-11x

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