Which expression is equivalent to

10 POINTS!.A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one pr

gizmo_the_mogwai [7]

Answer:

if they are similar then their sides are proportional and the following would be true:

40/30 = 48/36

reduce both sides:

4/3 = 4/3

so, yes, they are similar.

Step-by-step explanation:

6 0

3 years ago

8 x 5/6 = z<br> What is z?<br><br> A. 53/6<br> B. 40/6<br> C. 13/48<br> D. 5/48

blondinia [14]

Answer:

$\huge \boxed{ \boxed{\mathbb{B)} \frac{40}{6} }}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>given:</h3>

8×⅚=z

<h3>let's solve:</h3>

$\sf multiply \: both \: sides \: by \: 6 : \\ (8 \times \frac{5}{6} ) \times 6 = z \times 6$
$\sf simplify : \\ 8 \times 5 = 6z \\ 40=6z$
$\sf divide \: both \: sides \: by \: 6 : \\ \frac{6z}{6} = \frac{40}{6} \\ z = \frac{40}{6}$

5 0

3 years ago

Read 2 more answers

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

NemiM [27]

Answer:

a) 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

b) 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be 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.

Mildly obese

Normally distributed with mean 373 minutes and standard deviation 67 minutes. So $\mu = 373, \sigma = 67$

A) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?

So $n = 5, s = \frac{67}{\sqrt{5}} = 29.96$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 373}{29.96}$

$Z = 1.23$

$Z = 1.23$ has a pvalue of 0.8907.

So there is a 1-0.8907 = 0.1093 = 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

Lean

Normally distributed with mean 526 minutes and standard deviation 107 minutes. So $\mu = 526, \sigma = 107$

B) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

So $n = 5, s = \frac{107}{\sqrt{5}} = 47.86$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 526}{47.86}$

$Z = -2.42$

$Z = -2.42$ has a pvalue of 0.0078.

So there is a 1-0.0078 = 0.9922 = 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

7 0

3 years ago

Who got the Bad Bunny Crocs?

Lady_Fox [76]

Answer:

I doo

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Mr. Robison rides 136 miles per hour on his bike ride. He wants to ride more than 360 miles at the same rate during his next bik

Sever21 [200]

Answer: See explanation

Step-by-step explanation:

From the equation, we are informed that Mr. Robison rides 136 miles per hour on his bike ride and that he wants to ride more than 360 miles at the same rate during his next bike ride.

The inequality that represents all possible values for b, the number of hours Mr. Robison must bike will be:

136b > 360

b > 360/136

b > 2.65

Therefore, Me Robinson must bike for more than 2.65 hours

4 0

3 years ago

Which expression is equivalent to ​

Which expression is equivalent to