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zvonat [6]
3 years ago
9

How can you could use the distributive property and mentality to find 5×198

Mathematics
2 answers:
docker41 [41]3 years ago
8 0

Answer: Round.

Step-by-step explanation:

Round 198 to 200. 200 x 5 = 1000, so the answer is about 1000.

Lunna [17]3 years ago
3 0

Answer: (5x100)+(5x90)+(5x8)

Step-by-step explanation:

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Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did
kiruha [24]

Answer:

The answer is D

Step-by-step explanation:

4 0
3 years ago
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) e number of viewers ordering a particular pay-per-view program is normally distributed. Past history shows that 33.00% of the
lubasha [3.4K]

Answer:

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Past history shows that 33.00% of the time fewer than 20,000 people order the program

This means that X = 20000 has a pvalue of 0.33. So when X = 20000, Z = -0.44.

Z = \frac{X - \mu}{\sigma}

-0.44 = \frac{20000 - \mu}{\sigma}

20000 - \mu = -0.44\sigma

\mu = 20000 + 0.44\sigma

Only ten percent of the time do more than 28,000 people order the program.

This means that X = 28000 has a pvalue of 1-0.1 = 0.9. So when X = 28000, Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{28000 - \mu}{\sigma}

28000 - \mu = 1.28\sigma

\mu = 28000 - 1.28\sigma

Also

\mu = 20000 + 0.44\sigma

So

20000 + 0.44\sigma = 28000 - 1.28\sigma

1.72\sigma = 8000

\sigma = \frac{8000}{1.72}

\sigma = 4651.16

\mu = 20000 + 0.44\sigma = 20000 + 0.44*4651.16 = 22046.5

The mean of the number of people ordering the program is 22,046.5 and the standard deviation is 4,651.16.

6 0
3 years ago
Y = -3x + 1<br> 4x + y = 3<br> Eions?<br> What is the solution to the system of equations
Viktor [21]

Answer:

(2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 1 → (1)

4x + y = 3 → (2)

Substitute y = - 3x + 1 into (2)

4x - 3x + 1 = 3

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = - 3(2) + 1 = - 6 + 1 = - 5

solution is (2, - 5 )

3 0
3 years ago
Please help..... Simplify each equation.
dybincka [34]
A) this is the simplified form
( {x}^{3}  + 3 {x}^{2}  - 6) + ( {x}^{2} - x + 7) \\  =  {x}^{3}   + 3 {x}^{2}  - 6 +  {x}^{2}  - x + 7 \\  =  {x}^{3}  + 4 {x}^{2}  - x + 1
b)
(5 {x}^{2}  - 4x + 7) - ( {x}^{2}  - 2x - 5) \\  = 5 {x}^{2}  - 4x + 7 -   {x}^{2}  + 2x + 5 \\  = 4 {x}^{2}   - 2x + 12
8 0
3 years ago
Which expression is equivalent to this quotient 6/28x+4 divided by 12/35x+5
Korvikt [17]

Answer:

5/8

Step-by-step explanation:

multiply by the reciprocal and follow the steps i provided

3 0
1 year ago
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