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aksik [14]
3 years ago
8

4. Simplify - 4b +(-9k) – 6 – 3b + 12.

Mathematics
1 answer:
diamong [38]3 years ago
6 0

Answer:

−7b−9k+6

Step-by-step explanation:

−4b+(−3b)=−7b

+(−9k)=−9k

12−6=6

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The area of the rectangle shown below is 6x2+11x-7 square units. the length is 2x-1 what is the width
Hitman42 [59]

Answer:

Width is 3x+7 units

Step-by-step explanation:

In the attached file

5 0
3 years ago
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The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t
WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

-1.475 = \frac{15.5 - \mu}{\sigma}

15.5 - \mu = -1.475\sigma

\mu = 15.5 + 1.475\sigma

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

1.28 = \frac{16.3 - \mu}{\sigma}

16.3 - \mu = 1.28\sigma

\mu = 16.3 – 1.28\sigma

From above

\mu = 15.5 + 1.475\sigma

So

15.5 + 1.475\sigma = 16.3 – 1.28\sigma

2.755\sigma = 0.8

\sigma = \frac{0.8}{2.755}

\sigma = 0.29

The mean is

\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0
3 years ago
Find the distance between the points (1,3) and (5,0).
Irina18 [472]

distance between two points is [(x2-x1)^2 +(y2-y1)^2]^1/2

I.e,[{5-1)^2+(0-3)^2]^1/2

[16+9]^1/2

[25]^1/2

5

5 0
3 years ago
What is 9 times -11 + 17 times 11 in factored form
Rama09 [41]

Answer:

88

Step-by-step explanation:

(17 * 11 = 187) + (9 * -11 = -99)

187 - 99 = 88

7 0
3 years ago
A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of th
lana [24]

Answer:

  5 feet

Step-by-step explanation:

Add 0.25 to both sides of the equation:

  4.75 +0.25 = x - 0.25 +0.25

  5.00 = x

The original height of the water in the pool was 5.00 feet.

7 0
3 years ago
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