All categories

3 years ago

Please help me with this question and my next one!

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

If the price is linear, then the slope between each pair of points must be the same.

m = Δy/Δx

m = (150 - 70) / (5 - 1) = 20

m = (450 - 150) / (20 - 5) = 20

m = (1050 - 450) / (50 - 20) = 20

So the equation is indeed linear. It has a slope of 20 and y-intercept of 50.

p = 20n + 50

You might be interested in

HELP<br>how much is 1-inch than 3/4-inch

dalvyx [7]

Answer:

1/4 of an inch

Step-by-step explanation:

Im not sure I follow your question, but the difference between the two is 1/4 of an inch.

1- 0.75=0.25

0.25=1/4

7 0

3 years ago

How can polygons be considered a subcategory of two-dimensional figures?

Sonbull [250]

I say subcategory would be a good answer

6 0

3 years ago

Find the later area of the figure

o-na [289]

Answer:

$\large\boxed{60\pi\ sq.in.}$

Step-by-step explanation:

The formula of a lateral area of a cone:

$L.A.=\pi rl$

r - radius

l - lateral height

We have the radius r = 6in and the height H = 8in.

Use the Pythagorean theorem to calculate the lateral height:

$l^2=6^2+8^2\\\\l^2=36+64\\\\l^2=100\to l=\sqrt{100}\\\\l=10\ in$

Substitute:

$L.A.=\pi(6)(10)=80\pi\ in^2$

3 0

3 years ago

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3?

Vilka [71]

Answer:

Option 2: $y - 2 = \frac{1}{3}(x-3)$ is the correct answer.

Step-by-step explanation:

The equation of a line with given point(x1,y1) and slope m is given by:

$y-y_1 = m(x-x_1)$

The line passes through (x1,y1)

Given

$(x_1,y_1) = (3,2)\\m = \frac{1}{3}$

=> x1 = 3

=> y1 = 2

Putting the values of x1, y1 and slope(m) in the point-slope form, the equation of line is:

$y - 2 = \frac{1}{3}(x-3)$

Hence,

Option 2: $y - 2 = \frac{1}{3}(x-3)$ is the correct answer.

3 0

3 years ago

a study of nickels showed that the standard deviation of the weight of nickels is 300 milligrams. A coin counter manufacture wis

cupoosta [38]

Using the z-distribution, a sample of 609 nickels has to be weighed.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

For this problem, the parameters are:

$M = 20, \sigma = 300, z = 1.645$

We solve for n to find the sample size, then:

$M = z\frac{\sigma}{\sqrt{n}}$

$20 = 1.645\frac{300}{\sqrt{n}}$

$20\sqrt{n} = 1.645 \times 300$

$\sqrt{n} = 1.645 \times 15$

$(\sqrt{n})^2 = (1.645 \times 15)^2$

n = 608.9

Rounding up, a sample of 609 nickels has to be weighed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

6 0

2 years ago