What is 3 — 8 Times 40 I’m simplest form

Show your work” below and solve the given equation for x showing all your steps.

mixas84 [53]

Answer:

x=-13

Step-by-step explanation:

21-3.5x+14=7-7.5x-24

21+14-3.5x=7-24-7.5x

35-3.5x=-17-7.5x

35+17=3.5x-7.5x

52=-4x

-4. -4

x=-13

4 0

3 years ago

Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the

kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

45 boxes, which means that $N = 45$

22 have the secret decoder ring, which means that $k = 22$

Two boxes, which means that $n = 2$

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333$

0.2333 = 23.33% probability that both of them have the secret decoder ring

8 0

3 years ago

Assume that there is a 5% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive wit

iris [78.8K]

Probability of survival of one disk, p=1-0.05=0.95
If there are n drives, and failures are independent (e.g. mechanical wear and tear, and not a lightning strike or a current spike), then
Probability of survival = p^n
(a) for two disks, P(2) = 0.95^2=0.9025
(b)for three disks P(3) = 0.95^3 = 0.8574

3 0

3 years ago

Read 2 more answers

<A and <B are vertical angles. If m<A = (7x - 8)⁰ and m<B = (6x + 17)°, then find the value of x.

loris [4]

Answer:

x = 25

Step-by-step explanation:

Vertical Angles tell us that they are congruent, so:

7x - 8 = 6x + 17

x - 8 = 17

x = 25

Hope this helps!

8 0

3 years ago

Csc x - sin x = cot x • cos x

bearhunter [10]

1) expand csc and cotx identity

(1/sinx)-sinx = (cosx/sinx)*(cosx)

2) get common denominator on the left side

(1-sin^2x)/(sinx)= (cos^2x)/sinx

3) using cos^2x+sin^2x=1 you finished
cos^2(x)/sinx= cos^2(x)/sinx

hope that helps

3 0

4 years ago