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3 years ago

WHich of the following has the steepest slope?

Mathematics

1 answer:

icang [17]3 years ago

4 0

Answer: Choice A)

y = -4x+1

=======================================

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

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genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a %

Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The 95% confidence interval is $0.2392 < p < 0.3108$

No, the confidence interval includes 0.25, so the true percentage could easily equal 25%

Step-by-step explanation:

From the question we are told that

The total sample size is $n = 432 + 164 =596$

The number of offspring that is yellow peas is $y = 432$

The number of offspring that is green peas is $g = 164$

The sample proportion for offspring that are yellow peas is mathematically evaluated as

$\r p = \frac{ 164 }{596}$

$\r p = 0.275$

Given the the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 5\% = 0.0 5$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }$

=> $E = 0.0358$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

=> $0.275 - 0.0358 < p < 0.275 + 0.0358$

=> $0.2392 < p < 0.3108$

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3 years ago

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iris [78.8K]

Answer:

Step-by-step explanation:

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A sunflower is 13 inches tall and grows 41 inches each month. The

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Jacinta is working on a jigsaw puzzle that has 403 pieces. She has completed 1/4 of the puzzle. About how many pieces has she pl

slava [35]

$403 / 4 = 100.75$
to get any fraction of a number, as long as the numerator is 1 in the fraction, just divide by the denominator. In this case it's 4. Since you can't place .75 of a puzzle piece, she's placed 100 pieces in the puzzle.

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3 years ago

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aivan3 [116]

(2 , 2) and (6,4)

slope = (4 - 2)/(6 - 2) = 2/4 = 1/2 = 0.5

y intercept b = 1

Equation

y = 0.5x + 1

Answer is a

y = 0.5x + 1

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3 years ago