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3 years ago

What is the value of v? 1 / 4 (v – 7) = 2

1 answer:

6 0

1/4 (v - 7) = 2

1/4v - 1/4 (7/1) = 2

1/4v - 7/4 = 2

1/4v = 15/4

Multiply by 4/1 on both sides to get v

(4/1) 1/4v = 15/4 (4/1)

v = 60/4

v = 15

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Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.

Readme [11.4K]

Answer:

a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

b) $\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

c) $\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling a 4:

One side out of 6 on the dice. So

$P(A) = \frac{1}{6}$

Probability of spinning an 8:

One side out of 8 on the spinner. So

$P(B) = \frac{1}{8}$

Probability of rolling a 4 and spinning an 8:

$P(A \cap B) = P(A)P(B) = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}$

$\frac{1}{48}$ probability of her rolling a 4 and spinning an 8.

C) What is the probability of her rolling an even number and spinning a number less than 3?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling an even number:

2, 4 or 6(3 sides out of 6). So

$P(A) = \frac{3}{6} = \frac{1}{2}$

Probability of spinning a number less than 3:

Two numbers(1 or 2) out of 8 on the spinner. So

$P(B) = \frac{2}{8} = \frac{1}{4}$

Probability of rolling an even number and spinning a number less than 3:

$P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$

$\frac{1}{8}$ probability of her rolling an even number and spinning a number less than 3.

8 0

2 years ago

Select the two values of x that are roots of this equation.

makkiz [27]

Answer:

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Step-by-step explanation:

Given :-

A quadratic equation is given to us.
The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

Given equation :-

$\implies 2x^2 + 7x +6=0$

Step 1: Find out the factors of 12 :-

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 : Breaking the middle term :-

$\implies 2x^2 + 3x+4x +6=0$

Step 3: Take out common from terms :-

$\implies x(2x + 3) +2(2x +3)=0$

$\implies ( x +2)(2x+3)=0$

Step 4 : Equate them with 0 :-

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Hence the correct options are C and D .

5 0

2 years ago

A student raises her average grade from a 75 to a 90. What is the percent of the increase in the students average grade

tensa zangetsu [6.8K]

Since grades are out of 100, you can just subtract 75 from 90 which is 15. the percent of increase in the student's grade is 15%

5 0

3 years ago

3. 10 Rani received $250 and decided to buy an instant camera and an If the camera cost $187 and the cost of the SD card was of

LekaFEV [45]

Answer:

44.3$

Step-by-step explanation:

187 + 1/10*187= 205.7$

250-205.7= 44.3$ left

4 0

2 years ago

Read 2 more answers

In the diagram shown below, regular polygon ABCDE is reflected over line XY to polygon SWVUT.

nikklg [1K]

The length of line didn't change
the angle also not altered
the line of reflection is centered

8 0

3 years ago