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3 years ago

A cylinder with radius 5 units is shown below. It’s volume is 157 cubic units.

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer: 2 units

Step-by-step explanation:

Volume = π r² h

157 = π (5)² h

h = 157 ÷ 25π

h = 2 units.

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dan is building a circular swimming pool and wants the circumference to be no more than 95 feet what is the largest radius possi

sleet_krkn [62]

The largest radius for the swimming pool is 15.1 feet

Step-by-step explanation:

Step 1:

Circumference of the circular swimming pool built by Dan = 95 feet

We need to determine the largest radius for the pool.

Step 2 :

Circle's circumference is given by 2πr

Where r represents the radius

This shows that the radius is in direct proportion to the circumference. Hence the radius corresponding to the maximum circumference will be the largest possible radius

So we have 2πr = 95

=> r = $\frac{95}{2\pi }$

=> r = $\frac{95}{2}$ × $\frac{7}{22 }$ where $\pi = \frac{22}{7}$

=> r = 15.1 feet (rounded off to tenth of a foot)

Step 3 :

The largest radius for the swimming pool is 15.1 feet

5 0

4 years ago

Which bacteria sample (A or B) had a smaller initial population? What was that value?

zubka84 [21]

Answer:

B has a smaller initial population of 500

Step-by-step explanation:

Given

See attachment for complete question

Required

The bacteria with the smaller initial population

The initial population is at x = 0

For bacteria A;

$A(x) = 600$ when $x = 0$

For bacteria B, we have:

$B(x) = 500(2)^x$

Substitute 0 for x

$B(x) = 500(2)^0$

$B(x) = 500*1$

$B(x) = 500$

So; when x = 0

$A(x) = 600$ and $B(x) = 500$

Because; 500 < 600

We can conclude that B has a smaller initial population of 500

4 0

3 years ago

Find the sum of 0.333......and 0.444....

SashulF [63]

Answer:

0.777......

Step-by-step explanation:

0.333...... + 0.444......

= 0.777......

Hope it helps :)

Please mark my answer as the brainliest

7 0

3 years ago

Read 2 more answers

One option in a roulette game is to bet $12 on red. (There are 18 red compartments, 18 black compartments, and two compartmen

Alona [7]

Answer:

The expected value is -$0,63

Step-by-step explanation:

The expected value of a discrete variable x is given by:

E(x)=x1*p(x1)+x2*p(x2)+...+xn*p(xn)

Where x1, x2, .. xn are the posibles results that the variable x can take and p(x1), p(x2),...,P(xn) are their respective probabilities.

In this case, we have two possible results if we bet $12 on red. This results are:

1. The balls lands on red: in this case we keep the $12 we paid and we awarded 12. That means, we gain $12 and the probability of this case is the division of the number of red compartments by total number of compartments. So:

x1=$12

p(x1)=18/38

2. The balls doesn't land on red: in this case we lose the $12 that we bet and the probability is the division of number of compartments that aren't red by the total number of compartments. So:

x2=-$12

p(x2)=20/38

Then, replacing x1, x2, p(x1) and p(x2) on the equation of the expected value, we get:

E(x)=($12)*(18/38) + (-$12)*(20/38)

E(x)=$-0.63

So, the expected value if we bet $12 on red is to lose $0.63

5 0

4 years ago

what is the volume of the hamsta snack box with a width of 1 1/2 inches, a length of2 1/2 inches, and a height of 4 inches

jenyasd209 [6]

<u>Given:</u>

The width of the snack box is $1 \frac{1}{2} \ inches=\frac{3}{2} \ inches$