MATHEMATICS COLLEGE

8. Jamad is training to run in a race. During the first week of training, he ran 5.5 miles. In the fifth week of training, hewas able to increase the distance he ran to 7.04 miles. By what percent was he able to increase his running
distance?

Answers

Answer 1
Answer: 7.04/5.5 = 1.28
=1.28 x 100
=128%
=128% - 100%
=28%

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Solve for x x/10+5=−1

x=​

Answers

Answer:

x=-60

Step-by-step explanation:

You solve for x by simplifying both sides of the equation, then isolating the variable.

4. The net of a square pyramid is shownbelow What is the surface area of the
pyramid?
8 cm
8 cm
A 100 cm
B 138 cm
C 172 cm?
D 192 cm?

Answers

Answer:

It’s c or a

Step-by-step explanation:

A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.

Answers

The p-value for the given test is 0.0901.

Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.

What is a standard deviation?

Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.

Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.

Hypothesis test H_(0);μ=3 and H_(1);μ>3

We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.

When x>x critical

x critical = μ+Z+σ

Z = (x-μ)/(σ/√n)

= (3.07-3)/(0.4/√64)

= (0.07)/0.05

= 1.4

α = 5 and z_{0.05= 1.645

If Z>Z_{0.05

1.4 > 1.645

Therefore, we do not reject null hypothesis at 5% significant level.

There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.

p-value

p−value=P(Z>1.4)

=1−P(Z<1.4)

=1−0.90988

=0.0901

Therefore, the p-value for the given test is 0.0901.

To learn more about the standard deviation visit:

brainly.com/question/14747159.

#SPJ2

Answer:

c

Step-by-step explanation:

Marl me as brainliest answer c

What's the range of this function graph​

Answers

Answer:

[2,∞)

Step-by-step explanation:

The range is the y intercept and the function starts at 2 and continues going up causing the range of the function to be [2,∞)

What is 0.035 as a simplified reduced fraction

Answers

Answer:

7/200

Step-by-step explanation:

0.035= 35/1000= 7*5/200*5=7/200
7/200 is the correct answer

A beluga whale is 5 yards and 3 inches long, and a gray whale is 15 yards and 5 inches long. What is the difference in length between the two whales?

Answers

Answer:

Difference in length between two whales is 362 inches or 10 yards and 2 inches.

Step-by-step explanation:

Lets convert the values to inches:

1 yard = 36 inches

Length of a beluga whale in inches:

5 yards = 5*36 inches = 180 inches

Therefore total length of a beluga whale = 180 inches + 3 inches

                                                                     =183 inches

Length of a gray whale in inches:

15 yards = 15*36 inches = 540 inches

Therefore total length of a beluga whale = 540 inches + 5 inches

                                                                     =545 inches

Difference in length between two whales = 545 inches - 183 inches

                                                                      = 362 inches

To represent this in yards and inches we can divide the value by 36.

(362)/(36) =10.06 yards

=10 yards and 2 inches

Difference in length between two whales is 10 yards and 2 inches.
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