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const2013 [10]
4 years ago
11

5x-2y=3 in point-slope form

Mathematics
1 answer:
noname [10]4 years ago
6 0
2y = 5x - 3
y =( 5x-3 )/2

slope = 5
x = 3/5
y = 3/2
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Find the area of the quadrilateral with vertices A(0,0) B(2,-3) C(4,0) D(0,4).
muminat

Area of a triangle = ½ * base * height

Area of blue triangle = ½ * 4 * 4

Area of blue triangle = 8

Area of red triangle = ½ * 4 * 3

Area of red triangle = 6

TOTAL AREA = 8 + 6 = 14

6 0
4 years ago
2(15) - 3(4)<br> What is the answer
makkiz [27]

Answer:

18

Step-by-step explanation:

Do 2(15) to get 30.

Do -3(4) to get -12.

Do 30-12 to get 18.

18 is the answer.

5 0
3 years ago
Please help! (Find the area of the shaded region)
jeyben [28]

Answer:

9.43 ft

Step-by-step explanation:

First, we need to find the area of the entire circle(shaded & unshaded), which is 12.57, with a radius of 2 ft. Next, we find the area of the white area, and NOT the shaded area, which is 3.14, with a radius of 1 ft. Now, we need to subtract the white area(3.14) from the total area(12.57), which is 9.43.

Hope this helps!

8 0
3 years ago
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
a polynomial has been factored below, but some constants are missing. 2x^3-2x^2-24x=ax(x+b)(x+c) what are the missing values of
otez555 [7]
Hello here is a soluion : 

6 0
3 years ago
Read 2 more answers
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