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4 years ago

11

A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings on a tree toppin

g pizza are pepperoni, onions, and mushrooms?

1 answer:

umka2103 [35]4 years ago

3 0

1:84 probability that you would come out with that combination of topping

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Find the measure of the largest angle in the triangle

tester [92]

Answer:

72°

Step-by-step explanation:

Find the image of the question attached

The sum of angle in a triangle is 180°

Hence:

15x+24x+21x = 180°

60x =180

x =180/60

x= 3

Get the largest angle

The largest angle out of the angles is 24x

24x =24(3)

24(3) =72°

Hence the measure of the largest angle is 72°

5 0

3 years ago

What is the equation of the line that passes through the point of intersection of the lines y = 2x − 5 and y = −x + 1, and is al

castortr0y [4]

Answer:

$y = \frac{1}{2}x - 2$

Step-by-step explanation:

Given lines,

y = 2x - 5,

y = -x + 1

Subtracting these two equations,

0 = 3x - 6

$\implies 3x = 6$

$\implies x = \frac{6}{3}=2$

By first equation,

$y=2(2) -5=4-5 = -1$

Thus, point of intersecting would be (2, -1).

Now, the equation of a line is y = mx + c,

Where,

m = slope of the line,

So, the slope of the line $y=\frac{1}{2}x+4$ is 1/2.

∵ two parallel lines have same slope.

Hence,

Equation of the parallel line passes through (2, -1),

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

$y+1=\frac{1}{2}x - 1$

$y = \frac{1}{2}x - 2$

8 0

3 years ago

-2(x-4)=-16<br> SOLVE FOR X!!

Andrej [43]

Answer:

x = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-2(x - 4) = -16

<u>Step 2: Solve for </u><em><u>x</u></em>

Distribute -2: -2x + 8 = -16
Isolate <em>x</em> term: -2x = -24
Isolate <em>x</em>: x = 12

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

Substitute: -2(12 - 4) = -16
Subtract: -2(8) = -16
Multiply: -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 12 is a solution of the equation.

6 0

3 years ago

Number of Text Messages a Day A random sample of n = 755 US cell phone users age 18 and older in May 2011 found that the average

Alexeev081 [22]

Answer:

The 95% confidence interval is (29.54 - 53.46}

Step-by-step explanation:

given data:

$\hat X = 41.5$

Se = 6.1

n = 755

a) best estimate $\hat x = 41.5$

b) at 95% confidence interval

$\alpha = 1- 0.95 = 0.05$

$\alpha /2 = 0.025$

$z_{\alpha/2} = z_{0.025} = 1.96$

at 95% confidence interval for [/tex]\mu[/tex]

$\hat x \pm z_{\alpha /2} \times Se$

$41.5 \pm 1.96\times 6.1$

$41.5 \pm 11.96$

The 95% confidence interval is (29.54 - 53.46}

7 0

3 years ago

Your new job guarantees you an eight percent raise for each year with the company. if your initial salary is $42,200, write an e

expeople1 [14]

42200t*8% maybe I think

5 0

3 years ago

Read 2 more answers