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marta [7]
2 years ago
5

Kelly opened a savings account 14 years ago. She has not made any

Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

2,130

Step-by-step explanation:

get 3% of 1500 then multiply by 14 and add 1500.

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2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
2 years ago
Jin drew a diagram to compare eubacteria and archaebacteria. Which label belongs in the area marked W? Are called "true" bacteri
likoan [24]
There are no labels
5 0
2 years ago
Read 2 more answers
Add.
Ann [662]

Answer:

17. +5-2-1=+2

18. -7-6-2=15

19. +11-9-4=-2

20.+4-8+6=+2

6 0
3 years ago
A 2-column table with 2 rows. Column 1 is labeled x with entries negative 7, 0. Column 2 is labeled y with entries 0, 1.
Gre4nikov [31]

Answer:

1/7.

Step-by-step explanation:

To solve this, we can simply use an equation to solve for the slope using two points:

m= \frac{y_{2}-y_{1} }{x_{2}-x_{1}} We can substitute our points giving us:

m= \frac{1-0}{7-0}= m= \frac{1}{7}

The slope of the graph is 1/7!

8 0
3 years ago
Read 2 more answers
Graph:<br> Y:3sin(2x-pi/3)-2<br><br> Find max,min,amplitude,horizental shift,and vertical shift)
patriot [66]
Max:
Min:
Amplitude: 3
Horizontal Shift: 0
Vertical Shift: -2

I'm not sure on the max and min, but here is everything else. ^_^
7 0
2 years ago
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