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Alenkinab [10]
3 years ago
8

5. What are the slope and the y-intercept of the graph of the linear function shown on the grid?

Mathematics
2 answers:
almond37 [142]3 years ago
7 0

Answer:

Slope: -1/4

y-intercept: -1.5

Step-by-step explanation:

First you do rise over run meaning you from the point (-2,2) you rise up 2 to reach the x axis which is where point -6,0 so you rise 2 points and run 6. since the line is negative it becomes -1/4 and y-intercept is where the line first touches the y-line which is -1.5. I hop this helps!

dlinn [17]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Slope=rise/run

Y intercept is the where the line hits the y axis which is -1.5

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Answer:

15 x = 6.60

x = 44\ hundredths

Step-by-step explanation:

Given

\frac{6.60}{15}

Required

Complete the model

[ ] x = 6.60

x = _ hundredths

\frac{6.60}{15}

Equate to x

x = \frac{6.60}{15}

Multiply both sides by 15

15 * x = \frac{6.60}{15} * 15

15 * x = 6.60

15 x = 6.60

So, we have:

[ ] x = 6.60 =====> 15 x = 6.60

Recall that:

x = \frac{6.60}{15}

x = 0.44

This implies that:

x = 44\ hundredths

Hence:

x = _ hundredths =====> x = 44\ hundredths

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Question 22 Noella wraps cube-shaped boxes at her gift shop. The cost of wrapping a box depends on its side length. A box with a
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D B E

Step-by-step explanation:

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Suppose an empty flatbed railroad car sits on a track as shown below, with a person pulling on a rope with a force of 310 Newton
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Answer:

Step-by-step explanation:

a) 310cos25 = 281 N

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According to a Yale program on climate change communication survey, 71% of Americans think global warming is happening.† (a) For
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Answer:

a) 0.2741 = 27.41% probability that at least 13 believe global warming is occurring

b) 0.7611 = 76.11% probability that at least 110 believe global warming is occurring

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.71

(a) For a sample of 16 Americans, what is the probability that at least 13 believe global warming is occurring?

Here n = 16, we want P(X \geq 13). So

P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 13) = C_{16,13}.(0.71)^{13}.(0.29)^{3} = 0.1591

P(X = 14) = C_{16,14}.(0.71)^{14}.(0.29)^{2} = 0.0835

P(X = 15) = C_{16,15}.(0.71)^{15}.(0.29)^{1} = 0.0273

P(X = 16) = C_{16,16}.(0.71)^{16}.(0.29)^{0} = 0.0042

P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) = 0.1591 + 0.0835 + 0.0273 + 0.0042 = 0.2741

0.2741 = 27.41% probability that at least 13 believe global warming is occurring

(b) For a sample of 160 Americans, what is the probability that at least 110 believe global warming is occurring?

Now n = 160. So

\mu = E(X) = np = 160*0.71 = 113.6

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{160*0.71*0.29} = 5.74

Using continuity correction, this is P(X \geq 110 - 0.5) = P(X \geq 109.5), which is 1 subtracted by the pvalue of Z when X = 109.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{109.5 - 113.6}{5.74}

Z = -0.71

Z = -0.71 has a pvalue of 0.2389

1 - 0.2389 = 0.7611

0.7611 = 76.11% probability that at least 110 believe global warming is occurring

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Answer: A

Step-by-step explanation:

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