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3 years ago

Each car on a train has 30 rows of seats. There are 6 seats in each row. How many seats are on each car of the train?

Mathematics

1 answer:

krok68 [10]3 years ago

6 0

Answer:

180 seats on each car of the train.

Step-by-step explanation:

30 × 6 = 180

rows of seats × seats in each row = seats on each car of the train

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat

____ [38]

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that $\mu = 5.11, \sigma = 0.07$

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

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

$-1.34 = \frac{X - 5.11}{0.07}$

$X - 5.11 = -1.34*0.07$

$X = 5.02$

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

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

$1.34 = \frac{X - 5.11}{0.07}$

$X - 5.11 = 1.34*0.07$

$X = 5.2$

The diameter that separates the top 9% is 5.2 millimeters.

6 0

3 years ago

Classify the two given samples as independent or dependent. sample 1: the scores of 20 students who took the act sample 2: the

topjm [15]

Classify the two given samples as independent or dependent.

sample 1: the scores of 20 students who took the act

sample 2: the scores of 20 different students who took the sat

Solution: The two given samples are independent samples because in both the samples, the scores of one student will not affect the scores of other students.

Independent samples are samples that are selected randomly so that its observations do not depend on the values other observations.

3 0

4 years ago

What is the value of x? Enter your answer in the box

USPshnik [31]

It is equilateral triangle, so the 3 sides have the same length

5x - 22 = 4x - 10
5x - 4x = -10 + 22
x = 12

The value of x is 12

8 0

3 years ago

The profit for a car company can be represented by the function P=−0.5 x² +4 x+ 12,

luda_lava [24]

Answer:

3x+12

Step-by-step explanation:

-0.5x*2+4x+12

Multiply 0.5x*2=x

= -x+4x+12

Add similar elements -x+4x+12

= 3x+12

4 0

3 years ago

If a towns population currently at 50,000 experiences 5% growth every 10 years, what will its population be in 25 years

disa [49]

Answer:

56503

Step-by-step explanation:

this grows exponentialy so at the start it would be 50,000 growing by 5% every ten years. but since there is only 2 ten years in 25 years we must cut the percent in half making 2.5%

Step 1

(50,000×5%)+50,000= 52500

Step 2

(52500×5%)+52500= 55125

step 3

(55125×2.5%) +55125= 56503

5 0

2 years ago