H(x) = 5х+2.0х 3 - 45х-180х.<br> factor the polynomial

how long will it take b and c to equal the same if b starts with 30,000 with an raise of 2400 and c starts with 36000 with a rai

Rufina [12.5K]

The easiest way is to make equations y=2400x+30000 and y=2000+36000
and then put that in the calculator and go to table and the point they intersect at is (15,66000)

3 0

3 years ago

John has two jobs. For daytime work at a jewelry store he is paid

djyliett [7]

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ = $2,000

Answer:

$P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%$

The probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the probability that John's commission from the jewelry store is between $9,000 and $11,000?

$P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\$

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

$P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%$

Therefore, the probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0

3 years ago

HELP QUICK will mark brainliest

slamgirl [31]

Answer:

A

Step-by-step explanation:

(5x4) - 6 / 2 = x

7 0

3 years ago

Read 2 more answers

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram. Cir

nikitadnepr [17]

Answer:

Probability = 2/7

Step-by-step explanation:

AS the Venn diagram is not given in the question, the question is incomplete. I've attached the Venn diagram of this question below for a better understanding of the question and its solution.

In the Venn diagram we can see that

Costumers who like Cake = 10

Costumers who like Pie = 8

Costumers who like both = 4

So it means that

Total costumers who like Cake = 10 + 4 = 14

Total costumers who like Pie = 8 + 4 = 12

We have to find probabilty that a costumer who likes cakes also likes pie

So

Total costumers who like cake = 14

Costumers out of 14 who also like pie = 4

Probability = (No. of costumers who also like pie) / (Total costumers who like cake)

Probability = 4/14 = 2/7

5 0

3 years ago

Read 2 more answers

Which expression is equal to x−5x2+3−x2−x+4x2+3 ?

insens350 [35]

the third option. I think

8 0

3 years ago

H(x) = 5х+2.0х 3 - 45х-180х. factor the polynomial