Help me please only the 22. (c)

AN SOMEONE PLEASE HELP ME SOLVE THIS!!

stepan [7]

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

3 0

3 years ago

The distribution of the weights of a sample of 140 cargo containers is symmetric and bell-shaped, with a mean of 500 pounds and

I am Lyosha [343]

Answer:

a. 95%

Step-by-step explanation:

We solve this question, using z score formula.

Z score formula = (x - μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is number of samples

For z1, where x1 = 460, μ = 500, σ = 20, n = 140

z score formula = (460 - 500)/ 20

= -40/20

= -2

We find the probability of the z score using the z score table.

P(x = 460) = P(z = -2)

= 0.02275

For z2, where x2 = 540, μ = 500, σ = 20

z score formula = (540 - 500)/20

= 40/20

= 2

We find the probability of the z score using the z score table.

P(x = 540) = P(z = 2)

= 0.97725

The probability that the cargo containers will weigh between 460 pounds and 540 pounds is calculated as:

= 460 < x < 540

= P(z = 2) - P(z = -2)

= 0.97725 - 0.02275

= 0.9545

Converting to percentage

0.9545 × 100

= 95.45%

Therefore,the percentage of the cargo containers will weigh between 460 pounds and 540 pounds is 95%

6 0

3 years ago

Together, two wildlife refuge tour guides each lead eleven 45-minute tours each day. The wildlife refuge needs to calculate the

Lisa [10]

Answer:

16.5

Step-by-step explanation:

Given that :

Number of refuge tour guides = 2

Number of tour guides = 11 per tour guide

Duration of each tour = 45 minutes

To calculate the person hour per day for the tour :

Person hour per day = (Total minute spent per day / 60)

Total minutes spent per day= (Number of tour guides) * (Number of refuge tour guides) * (duration per tour)

Total minute spent = (2 * 11 * 45) = 990 minutes

Person hour per day = 990 / 60

= 16.5

6 0

3 years ago

What is the greatest common factor of the pair of numbers?

spayn [35]

I believe the answer should be C

5 0

3 years ago

Natalie is paid $2 more per hour than Travis when Natalie works for 40 hours and Travis works for 35 hours they are $755 between

daser333 [38]

Answer:

Travis' per hour earnings = $135

Natalie's per hour earnings = $137

Step-by-step explanation:

Given:

Natalie is paid $2 more per hour than Travis

Natalie works for 40 hours

Travis works for 35 hours

The difference between their salaries for their work = $755

To find how much does each earn per hour.

Solution:

Let Travis earn in dollars per hour = $x$

So, for 35 hours of work, his earning in dollars will be = $35\times x = 35x$

Natalie will earn in dollars per hour = $x+2$

So, for 40 hours of work, her earning in dollars will be = $40\times (x+2) = 40(x+2)=40x+80$ [Using distribution]

The difference between the earnings can be given as:

⇒ $40x+80-35x$

Combining like terms

⇒ $5x+80$

The difference = $755

So, we have:

$5x+80=755$

Solving for $x$

Subtracting both sides by 80.

$5x+80-80=755-80$

$5x=675$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{675}{5}$

$x=135$

So, Travis' per hour earnings = $135

Natalie's per hour earnings = $135+2=$ = $137

5 0

4 years ago