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3 years ago

What is the slope and y-intercept of the function represented by the table

Mathematics

2 answers:

liubo4ka [24]3 years ago

8 0

Could be wrong on this one but slope-2/3 y int (0,0.5)

Ostrovityanka [42]3 years ago

4 0

Slope is x
And y intercept
So the x is 3
And y is -3

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A local marketing company wants to estimate the proportion of consumers in the Oconee County area who would react favorably to a

Burka [1]

Answer:

C. n=423

Step-by-step explanation:

1) Notation and important concepts

Margin of error for a proportion is defined as "percentage points your results will differ from the real population value"

Confidence=90%=0.9

$\alpha=1-0.9=0.1$ represent the significance level defined as "a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant".

$\hat p=0.5$ represent the sample proportion of consumers in the Oconee County area who would react favorably to a marketing campaig. For this case since we don't have enough info we use the value of 0.5 since is equiprobable the event analyzed.

$z_{\alpha/2}$ represent a quantile of the normal standard distribution that accumulates ${\alpha/2}$ on each tail of the distribution.

2) Formulas and solution for the problem

For this case the margin of error for a proportion is given by this formula

$ME=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$ (1)

For this case the confidence level is 90% or 0.9 so then the significance would be

$\alpha=1-0.9=0.1$ and $\alpha/2=0.05$

With $\alpha/2=0.05$ , we can find the value for $z_{\alpha/2}$ using the normal standard distribution table or excel.

The calculated value is $z_{\alpha/2}=1.644854$

Now from equation (1) we need to solve for n in order to answer the question.

$\frac{ME}{z_{\alpha/2}}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Squaring both sides:

$(\frac{ME}{z_{\alpha/2}})^2=\frac{\hat p(1-\hat p)}{n}$

And solving for n we got:

$n=\frac{\hat p(1-\hat p)}{(\frac{ME}{z_{\alpha/2}})^2}$

Now we can replpace the values

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.644854})^2}=422.739$

And rounded up to the nearest integer we got:

n=423

3 0

3 years ago

Help me answer this please and thank you.

yan [13]

Answer:

It is y=2/3+4

6 0

3 years ago

To control the traffic during Ramadan month, a Police Sergeant is assigned to control the traffic

m_a_m_a [10]

To complete the table it is necessary to know the possibilities that the sergeant has to change or remain in an intersection. The probabilities (depending on the box) are:

0
0.2
0.25
0.33

<h3>How to calculate the probability of intersection change? </h3>

To know the probability of intersection change, it is necessary to locate the police officer at one of the intersections. Subsequently, count how many possibilities of change you have, for example: 3 possibilities and finally add the possibility of remaining in the intersection as shown below:

Intersection 3 has 3 possibilities of changing towards intersections 2, 8 and 4. Additionally, it has the possibility of staying at intersection 3, that is, it has 4 possible decisions.

To know the probability we divide the number 1 (because it is only a decision that we have to make) and divide it by the number of possibilities (4).

1 ÷ 4 = 0.25

According to the image we can infer that in some intersections they only have 3, 4 and 5 possibilities, so the probability of change will be different as shown below:

1 ÷ 3 = 0.33
1 ÷ 4 = 0.25
1 ÷ 5 = 0.2

Learn more about probabilities in: brainly.com/question/8069952

3 0

3 years ago

A 180 pound person is hanging onto a 15-foot rope. Assuming the rope is uniform and that it weighs 2 pound per foot, set up (but

aleksklad [387]

Answer:

The answer is "g= 32 FPS"

Step-by-step explanation:

Given value:

$mass = 180\\\\length= 15 \\\\\lambda = \frac{ mass}{ length} = 2 \ \text{pound per foot} \\\\\bold{Formula}\\\\ \to w \int_{a}^{b} F \cdot d \ dx = \int_{0}^{15} (2x+180) \ g \ dx$

by solving the value we get the value of g that is equal to 32.

4 0

3 years ago

What is.... 2m + 3m to the second power - 4m = ?

allochka39001 [22]

Answer:

$\large\boxed{2m+3m^2-4m=3m^2-2m}$

Step-by-step explanation:

$2m+3m^2-4m\qquad\text{combine like terms}\\\\=3m^2+(2m-4m)\\\\=3m^2+(-2m)\\\\=3m^2-2m$

3 0

3 years ago