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2 years ago

Help me solve this problem please

Mathematics

1 answer:

mel-nik [20]2 years ago

7 0

It’s only a vertical angle

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Solve the following equation: 8 - 9x = 27.

bearhunter [10]

The given equation is

$8-9x=27$

To solve for x, we have to subtract 8 to both sides

$8-9x-9 = 27-8 \\ -9x = 19$

Now we need to get rid of -9 from the left side, and for that we do division

$\frac{-9x}{-9} = \frac{19}{-9}$

$x = - \frac{19}{9}$

4 0

2 years ago

(4.1.4) Let X and Y be Bernoulli random variables. Let Z = X + Y. a. Show that if X and Y cannot both be equal to 1, then Z is a

Fynjy0 [20]

Step-by-step explanation:

Given that,

X ~ Bernoulli $(p_x)$ and Y ~ Bernoulli $(y_x)$

X + Y = Z

The possible value for Z are Z = 0 when X = 0 and Y = 0

and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0

If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,

Therefore Z is a Bernoulli random variable

If X and Y can not be both equal to 1

then,

$p_z = P(X=1$ or $Y=1)\\$

$p_z = P(X=1)+P(Y=1)-P(=1$ and $Y =1)$

$p_z = P(x=1)+P(Y=1)\\\\p_z=p_x+p_y$

If both X = 1 and Y = 1 then Z = 2

The possible values of the random variable Z are 0, 1 and 2.

since a Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution

7 0

2 years ago

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left

Roman55 [17]

Answer: x=100

Step-by-step explanation:

In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100

8 0

2 years ago

Read 2 more answers

Four students share 7 sandwiches equally. How much of a sandwich does each student get

garri49 [273]

Answer: 1.75

7 ÷ 4 = $\frac{7}{4}$ = 1.75