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daser333 [38]
2 years ago
6

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob

ability distribution with a mean of 36 hours and a standard deviation of 5.1 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 25 batteries.
What can you say about the shape of the distribution of the sample mean?
Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0

Answer:

UNTUU HULLUM

Overfishing occurs when more fish are removed from an ecosystem than can be maintained by the population,

Overfishing can lead to significant population declines in economically important species. The passage describes

additional impacts of overfishing on populations.

pressure affects

salmon fishery of

and 1970s, pink

n this fishery were

ihile allowing

nd 1974, the

inland spawning

approximately

to spawn at the

Isted that fishing

lower growth rates

According to the passage, which mechanism explains the observed changes in fish size over time?

A. Smaller fish produce fewer eggs than larger fish do, so they contribute fewer offspring to the next

generation.

B. Fish that are small enough to escape fishing nets are more likely to survive than larger fish.

C. Scientists found that Atlantic silversides exhibited changes in feeding and foraging rates after four

generations of selection,

D. The average size of pink salmon returning to spawn decreased from 6.0 pounds to approximately 4.5

pounds.

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HELP ME PLZZZ!!!! URGENT!!!​
finlep [7]

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = (p+1)^2-4(1)(2p-5)

For real roots,

(p+1)^2-4(1)(2p-5)>0

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

5 0
3 years ago
What is the equation of the line that passes through the point (4. -2) and has a<br> slope of 5/4?
KIM [24]

Answer:

y = 5/4 x - 7

Step-by-step explanation:

y - y1 = m(x - x1)

y + 2 = 5/4 (x - 4)

y + 2 = 5/4 x - 5

y = 5/4 x - 7

7 0
1 year ago
Sally has 4 apples for school lunch, her friend asks if she can 2 apples for Sally's 4 apples. How many more apple would Sally h
vladimir1956 [14]

Answer:Sally would have 2 apples left

Step-by-step explanation:Because 4-2=2 so she gave 2 away so she has 2 left.

5 0
2 years ago
Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-fifth x minus four-fifths?
DedPeter [7]

Answer:

f(x) = -5x - 4

Step-by-step explanation:

We want to get the inverse of the following function:

f^-1(x) = (-1/5)x - 4/5

To do that, we have to replace x with f(x) and f^-1(x) with x, as follows:

x = (-1/5)f(x) - 4/5

And then solve for f(x), the inverse of f^-1(x).

x + 4/5 = (-1/5)f(x)

f(x) = -5x + (-5)4/5

f(x) = -5x - 4

To check our result we compute a pair (x, f(x))

x   f(x)

1   -5*1 - 4 = -9

which has to be equivalent to (-9, 1) in the original function

x      f^-1(x)

-9     (-1/5)*(-9) - 4/5 = 1

5 0
3 years ago
Read 2 more answers
A study of 420,076 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study
Keith_Richards [23]

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (131/420076) = 0.0003118483 = 0.0312%

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

7 0
3 years ago
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