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leonid [27]
2 years ago
5

Which of the following points is a solution of 3x-y= -2

Mathematics
1 answer:
Mademuasel [1]2 years ago
7 0

<em>x</em> = \frac{y}{3} - \frac{2}{3}

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An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.
faltersainse [42]

Answer:

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

y=a(x-h)^2+k, (h,k) is the center

y=a(x-50)^2+25

the parabola starts at (0,0) that is (x,y)

0=a(0-50)^2+25

subtract 25 from both sides

-25=a(-50)^2

-25=a(2500)

divide both sides by 2500

a=-\frac{1}{100}

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=-\frac{1}{100}(40-50)^2+25

y=24

the height of the arch 10 feet from the center is 24 feet

4 0
3 years ago
Which two properties of equality could Zoe use to finish solving for x
7nadin3 [17]
3x-4= - 10
add both side 4 so its a addition property 
3x=- 6
now divide both side 3 so it is a  <span>division property.
so x=-2</span>
4 0
3 years ago
Which of the following best describes the slope of the line below?
Scrat [10]

Just in case:

This slope goes through (0,0) or more formally, the origin.

5 0
3 years ago
Read 2 more answers
Describe the intersection of this sphere with the xz-plane, the yz-plane, and the xy-plane.
vodka [1.7K]
Its intersection would be at  the centre of the sphere, each line being perpendicular to the other, probably 
3 0
3 years ago
Suppose a large shipment of laser printers contained 22% defectives. If a sample of size 276 is selected, what is the probabilit
Mrrafil [7]

Answer:

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\mu_{\hat p}=p\\\\

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

The information provided is:

p=0.22\\n=276

As the sample size is large, i.e. <em>n</em> = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of P(\hat p-p as follows:

P(\hat p-p

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

6 0
3 years ago
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