Find the missing dimension.<br> The missing dimension is<br><br> meters.fill in the blank

In a class of 40, 28 passed their maths test. What fraction of the class passed?

Alex777 [14]

28 out of 40 of the students passed the test

5 0

3 years ago

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.

Eddi Din [679]

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± $\sqrt{90}$ ( add 3 to both sides )

x = 3 ± $\sqrt{90}$

Then

x = 3 - $\sqrt{90}$ ≈ - 6.49 ( to the nearest hundredth )

x = 3 + $\sqrt{90}$ ≈ 12.49 ( to the nearest hundredth )

6 0

3 years ago

PLEASE HELP 10 BRAINLY POINTS<br> Find SA for this triangular prism: DON'T FORGET TO SHOW ALL WORK

Tresset [83]

Answer: 872

10 times 16 = 160

12vtimes 10 = 120

20 times 20 = 400

12 times 16 = 192

*with the area of triangles, you have to divide your number by 2, but there is 2 triangles, so 192, instead of 96*

Step-by-step explanation:

6 0

3 years ago

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.

SVEN [57.7K]

Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

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.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that $\mu = 73.5, \sigma = 5.1$