Audel started her homework at 9:10 she finished at 9:45 how long did she spend on her homework

A sample of 900900 computer chips revealed that 49%49% of the chips do not fail in the first 10001000 hours of their use. The co

dedylja [7]

Answer:

The proportion of chips that do not fail in the first 1000 hours of their use is 52%.

Step-by-step explanation:

The claim made by the company is that 52% of the chips do not fail in the first 1000 hours of their use.

A quality control manager wants to test the claim.

A one-proportion z-test can be used to determine whether the proportion of chips do not fail in the first 1000 hours of their use is 52% or not.

The hypothesis can be defined as:

H₀: The proportion of chips do not fail in the first 1000 hours of their use is 52%, i.e. p = 0.52.

Hₐ: The proportion of chips do not fail in the first 1000 hours of their use is different from 52%, i.e. p ≠ 0.52.

The information provided is:

$\hat p=0.49\\n=900\\\alpha =0.02$

The test statistic value is:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.49-0.52}{\sqrt{\frac{0.52(1-0.52)}{900}}}=-1.80$

The test statistic value is -1.80.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value as follows:

$p-value=2\times P(Z$

*Use a z-table.

The p-value = 0.07186 > α = 0.02.

The null hypothesis was failed to be rejected at 2% level of significance.

Conclusion:

The proportion of chips that do not fail in the first 1000 hours of their use is 52%.

8 0

3 years ago

for 8 days of very hot weather, the water level in a lake dropped 3 inches per day. on the ninth day, storms raised the level 6

Marat540 [252]

Hi there!
Your question is:
For 8 days of very hot weather, the water level in a lake dropped 3 inches per day. on the ninth day, storms raised the level 6 inches. Write and find the value of an expression for the change in the water level of the lake during these 9 days.Here is my answer:

If the water level drops 3 inches per day for eight days, it would have gone down a total of 24 inches over those 8 days. Now, the rain storm added 9 inches of water back to the lake. 24 - 9 = 15.
Summary:
8 x 3 = 24
-24 + 9 = -15.

I hope this helped you, and dont hesitate to ask me for anymore help if you need it.

Stay Crazzzzzy! xD

6 0

3 years ago

Find the 6th term of the geometric sequence, given the first term and common ratio a1= 5 and r=3/2

uysha [10]

Answer

37.96875

Explanation

In geometric sequence we use the formula below to find the nth of a sequence.

Tn = ar⁽ⁿ⁻¹⁾

Where a ⇒ first term

n ⇒ the term we are looking for

T₆ = 5 × (3/2)⁶⁻¹

= 5 × (3/2)⁵

= 5 × 243/32

= 1215/32

= 37 31/32

= 37.96875

6 0

4 years ago

Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks

stealth61 [152]

Answer:

Step-by-step explanation:

y ∝ x^2

Introducing the proportionality constant, we have

y = kx^2

Given : y= 18 when x = 3

substitute the given values in order to get the constant

i.e 18 = k x 3^2

18 = 9k

k = 2

therefore the formula connecting x and y

⇒ y = 2x^2

To find y if x is 4, just substitute x = 4 into the formula connecting x and y

i.e y = 2 x 4^2

= 2 x 16

= 32

4 0

3 years ago

Who drew a line with a y intercept of 1? names above graph, please help!! asap:)

Alex_Xolod [135]

Yes pi, which letter please?7th grade is not an average

3 0

3 years ago