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4 years ago

Will give BRAINLIEST

Mathematics

2 answers:

neonofarm [45]4 years ago

6 0

Step-by-step explanation:

f(x) = 2x + 1. Let y = f(x).

Then y = 2x + 1, 2x = y - 1, x = (y - 1)/2.

If h(x) is the inverse of f(x), then h(x) = (x - 1)/2 = 0.5x - 0.5.

expeople1 [14]4 years ago

3 0

I believe it’s C but I could be wrong I’m sorry, is this precalc?

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Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is $\dfrac{1}{6} = 0.1667$ .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is $\dfrac{1}{6}$ .

Numbers on the dice (X) P(X)

+1 $\frac{1}{6}$

+2 $\frac{1}{6}$

+3 $\frac{1}{6}$

-4 $\frac{1}{6}$

+5 $\frac{1}{6}$

-6 $\frac{1}{6}$

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X) = $\sum X \times P(X)$

= $(+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}$

= $\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}$

= $\frac{1+2+3-4+5-6}{6}$

= $\frac{11-10}{6}= \frac{1}{6}$

Hence, the expected value of the points earned on a single roll in this game is $\frac{1}{6} = 0.1667$ .

4 0

3 years ago

A laptop has listed a price of $802.99 before tax. If the sales tax rate is 7.25%, find the total cost of the laptop with sales

wariber [46]

Net Price: $ 802.99
+ Sales Tax (7.25%): $ 58.22
Total Price: $ 861.21

6 0

3 years ago

Read 2 more answers

for the spring fundraiser, there were 50 committee members. Each member worked 2 hour. The eveent raised $ 1,267.00. What amount

Sindrei [870]

50 x 2 =100 hours
1267/100= 12.67
$12.67 was raised per hour

3 0

3 years ago

Lin wants to know how many games teenagers in the United States have on their phones.

xeze [42]

Answer:

1a. 42% of teens spend time playing games on their phones

2a. Collecting data would be difficult because you have t figure out what state in the U.S to use.

3a. 513 students from 84 colleges nationwide found that 34.89 percent of them spend a lot of time playing games on their smartphones, and 42.69 percent play occasionally.

5 0

3 years ago

*please help and explain how you got the answer!*

stepan [7]

Answer:

Step-by-step explanation:

A= (4-1)^3

simplify A to be 3^3

Which gives us 27

B=(2*3)^2-9

simplify B

first multiply the 2 numbers in paranthesis which gives us 6. raise it to the power of 2 which is 39 and then subtract 9. Gives us 27.

C=15^3*4-12

Simplify the exponent first. 3*4 gives us 12 and 12-12 equals 0. Anything raised to the power of 0=1

If A-B^C is the equation we can write 27-27 raised to the power of 1 which is 0

7 0

3 years ago