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dexar [7]
3 years ago
8

Sorry if the image is blurry

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

I believe x is greater than or equal to 1

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Solve for P if E = 2.50 and r = 2.00 given that E = P4πr2
const2013 [10]

Answer:

P = 0.05

Step-by-step explanation:

E = P4πr²

2.50 = P4π(2)²

2.50 = P4π4

2.50 = P(50.265)

P = 0.05

5 0
3 years ago
Peter has a dozen sticks of butter.He needs 1/6 of a stick to make an omelet.How many omelets can peter make
PilotLPTM [1.2K]

Answer:

<em>72 omelets</em>

Step-by-step explanation:

If the whole stick of butter is cut into 6 pieces, and you can use one of those 6 pieces of butter per omelet, you can make 6 omelets with one stick of butter. Now, you have 12 sticks of butter, and you can make 6 omelets with each. 12 x 6= 72. I believe u can make 72 omelets in all.

Hope this helps dear!!

5 0
3 years ago
X varies directly as y. If x is 9 when y is 4, find x when-y is 8.
jeka94

Answer:

see explanation

Step-by-step explanation:

Given x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 9 when y = 4

k = \frac{x}{y} = \frac{9}{4} = 2.25

x = 2.25y ← equation of variation

When y = 8, then

x = 2.25 × 8 = 18

4 0
3 years ago
Help plzzzz ill give extra points
lbvjy [14]

Answer:

12x

16x, 320

20

Step-by-step explanation:

Hope this helps

3 0
2 years ago
Read 2 more answers
A manufacturer of a new medication on the market for Parkinson's disease makes a claim that the medication is effective in 75% o
ale4655 [162]

Answer:

Claim is rejected

Step-by-step explanation:

Solution:-

- The claim was made on the effectiveness of medication on the market of Parkinson's disease to be p = 75%.

- A random sample was taken of N = 150 individuals and n = 100 number of people reported that it was effectively.

- We are to test the claim made by the manufacturer of the medication based on the statistics available for the sample N.

- State the hypothesis for the effectiveness of medication:

          Null Hypothesis: p = 0.75   ... Claim

          Alternate hypothesis: p < 0.75   .... Test

- The conditions of standard normality:

  • n*p > 5 , 150*0.75 = 112.5   .. ( Check )

  • n*(1-p) > 5 , 150*0.25 = 37.5  .. ( Check )

Hence, the standard normal test is applicable. Assuming the population proportion to be normally distributed.

- We will estimate the population proportion with the sample proportion ( p* ):

                          p* = n / N

                          p* = 100 / 150

                          p* = 2/3 = 0.667

- Testing against the claimed population proportion ( p ) = 0.75. The standard normal statistic value is given by:

                         Z-test= \frac{(p^* - p)}{\sqrt{p(1-p) / N} } \\\\Z-test= \frac{(0.6667 - 0.75)}{\sqrt{0.75(0.25) / 150} } \\\\Z-test= \frac{-0.0833}{\sqrt{0.00125} } \\\\Z-test= -2.35607 \\

- We will see whether the Z-test statistic falls in the rejection region defined by the critical value of Z at significance level ( α ) of 0.05.

- The rejection region is defined by the Alternate hypothesis which is less than the claimed value. So, the rejection region defined by the lower tail of the standard normal.

- So for lower tailed test the critical value of statistics is:

                       P ( Z < Z-critical ) = α = 0.05

                       Z-critical = - 1.645

- The rejected values all lie to the left of the Z-critical value -1.645          

- The claim test value is compared the rejection region:

                      -2.35607 < -1.645

                       Z-test < Z-critical

Hence, Null hypothesis rejected because test lies in the rejection region.

Conclusion:

The Null hypothesis or claim made by the manufacturer of Parkinson's disease medication of 75% effectiveness is without sufficient evidence. Hence, the claim made is false or has no statistical evidence.

4 0
2 years ago
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