<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20" id="TexFormula1" title=" \sqrt[3]{x

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Flauer [41]

3 years ago

{x - 1} " align="absmiddle" class="latex-formula"> This is the cube root of x - 1.

Mathematics

1 answer:

shusha [124]3 years ago

7 0

So the -1 is under the check mark too?

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n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally di

Paraphin [41]

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

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.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that $\mu = 116, \sigma = 5.4$

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

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

$Z = \frac{118 - 116}{5.4}$

$Z = 0.37$

$Z = 0.37$ has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

8 0

3 years ago

Bobby eats at a restaurant and his bill comes out to $45.50. He liked his server and decides to leave a 20% tip.

S_A_V [24]

Answer:

$54.60

Step-by-step explanation:

45.50*.20=9.10

9.10+45.50=54.60

8 0

3 years ago

Read 2 more answers

Please help asap 26 pts

exis [7]

4 x > − 16 (Possibility 1)
4 x
4 > − 16
4 (Divide both sides by 4)
x > − 4

6 x ≤ − 48 (Possibility 2)
6 x
6 ≤ − 48
6 (Divide both sides by 6)
x ≤ − 8

Answer:
x > − 4 or x ≤ − 8

8 0

3 years ago

Peter and his four brothers combined all of their money to buy a video game. If 30% of the total money is Peter's, and $6.00 of

trapecia [35]

B)$20 but also dam these mother truckers are broke.

6 0

3 years ago

In a certain city the cost for a taxi ride for 20 miles is $13. For 30 miles the cost is $18. Assuming the number of miles is x

anygoal [31]

We need to write the linear equation that is satisfied by (20,13) and (30,18).
$18 - $13 $5
The slope is m = --------------- = -------- = $0.50/mile
30 - 20 10

We need to find the y-intercept of this function. To do that, start with the slope-intercept form y = mx + b

and subst. the y and x values from one of the two given points. Suppose we choose (20,$13):

$13 = ($0.50/mile)(20 miles) + b

Then $13 = $10 + b, and b = $3.

There's an up-front charge of $3 just to step into the taxi.

The equation in question is y = ($0.50/mile)x + $3.00 (answer)

5 0

3 years ago