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3 years ago

Copy and complete: b 7:8:9=__:12:_

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

Answer:

10.5 : 12 : 13.5

Step-by-step explanation:

7:8:9

We need to get 8 to 12

12/8 = 3/2

We need to multiply each number by 3/2

7 * 3/2:8* 3/2 :9*3/2

21/2 : 12 : 27/2

10.5 : 12 : 13.5

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If the measure of each exterior angle of a regular polygon is 18°, determine how many sides the polygon has.

Sveta_85 [38]

we are given

exterior angle is 18

so,

$\theta=18$

now, we can use formula

number of sides of regular polygon = 360/(exterior angle)

so, we get

$n=\frac{360}{18}$

$n=20$

so, number sides is 20..........Answer

7 0

3 years ago

A random sample of 8 recent college graduates found that starting salaries for architects in New York City had a mean of $42,653

ycow [4]

Answer:

C. (36337.32, 48968.68)

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{9114}{\sqrt{8}} = 6315.68$

The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.

The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.

So the correct answer is:

C. (36337.32, 48968.68)

3 0

3 years ago

What is the value of y for the line that had a slope of -3/2 and passes through the points (3,5) and (7,y)?

Leni [432]

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-5}{7-3}=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{3}{2}}\implies \cfrac{y-5}{4}=-\cfrac{3}{2} \\\\\\ 2y-10=-3y\implies 5y-10=0\implies 5y=10\implies y=\cfrac{10}{5}\implies y=2$

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3 years ago

Which is the graph of the system of equations?<br> x + 2y = 2<br> 4x - y = 4

Sladkaya [172]

Solve for x for x: x+2y=2
x+2y +-2y=2+-2y (add -2y on both sides.)
x=-2y+2
Substitute : -2y+2 for x in
4x-y=4:
4(-2y+2)-y=4
-9y+8=4 Simplify both sides of the equation.
-9y+8+-8=4+-8 Add -8 to both sides.
-9y=-4
-9/-9=-4-9 Divide both sides by -9
y=4/9
Substitute 4/9 for y in
x=-2y+2
x=-2(4/9)+2
x=10/9
y=4/9,x=10/9

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3 years ago

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3 years ago