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scZoUnD [109]
2 years ago
5

Which model best fits the data shown in the scatterplot?

Mathematics
1 answer:
KengaRu [80]2 years ago
8 0

Answer:

<u>A. y = -0.7x + 1.9</u>

Step-by-step explanation:

  • The y-intercept is roughly +2 as you can see from the scatterplot therefore ⇒ Not option C or D [both of which are negative]
  • The slope is slanted from top left to right bottom [meaning the slope is negative] ⇒ Not B
  • The correct option is <u>A</u>
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Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of
zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

z = -1.76

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0
3 years ago
PLEASE HELP!
qaws [65]
It is a cluster from $1.00 to $7.00 and had no gaps
6 0
3 years ago
Read 2 more answers
What is the slope of y = 5x?
9966 [12]

Answer:

The slope of the line is -5

4 0
3 years ago
Read 2 more answers
What is the answer to 2h/15=20?
GarryVolchara [31]
2h/15=20 so the answer to h would be h=150
7 0
3 years ago
The parent cosine function is transformed to create the function . which graphed function has the same amplitude as function m?
Shkiper50 [21]

Based on the graph given, the option that will show the same amplitude as function m is graph D.

<h3>Which graphed function  is this about?</h3>

The cosine function is seen as:

f(x) = A*cos(kx) + M

And the functions are:

  • A stands for amplitude,
  • k is angular frequency,
  • M is the midline.

When the function is m(x) = -2*cos(x+π).

The absolute value of the amplitude will be 2*|-2| = 4

Therefore, the option that can have the requirement above is graph D.

Learn more about cosine from

brainly.com/question/23563998

#SPJ4

8 0
2 years ago
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