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Archy [21]
1 year ago
12

What is the circumference of a circle with a diameter of 45 centimeters?

Mathematics
2 answers:
madam [21]1 year ago
6 0
Circumference, C = πd
d = diameter.

C = π*45

C = 45π

C ≈ 45*3.142

C≈ 141.39

C ≈ 141.4

Option D.
zysi [14]1 year ago
3 0
It is 141.4 centimetres. This is because the circumference is obtained by multiplying pi with the diameter.
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Estimate the product 8.1 x 4.2
Korvikt [17]
Round 8.1 down to 8
Round 4.2 down to 4

8(4)= 32

The estimated product is 32.
Hope this helps!
6 0
1 year ago
When you graph the exact same equation twice ?
Helen [10]
You will have infinite solutions
3 0
1 year ago
Write a different expression that has the same quotient as -3/8 and 3/-8.
matrenka [14]
An equivalent fraction is a fraction formed by multiplying the numerator and the denominator of a fraction by a common number.

-\frac{3}{8} =- \frac{3\times2}{8\times2} = -\frac{6}{16}
4 0
1 year ago
A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine
ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

5 0
1 year ago
According to a survey by Bankrate, of adults in the United States save nothing for retirement (CNBC website). Suppose that adult
mezya [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 Yes the selection of 15 is a binomial  experiment

b

   P(r =  15) =  3.2768 *10^{-11}

c

  P(r  =  5) =  0.1032

d

P(r \ge 1 ) =  0.9648

Step-by-step explanation:

considering question a

Generally for and experiment to be binomial

The trial must be independent

There must be only two outcomes for each trial

Generally given that that the 15 adults are selected randomly which mean that the trials will be independent and that desired outcome is ''ether the adult save something for retirement or the adult saves nothing for retirement ''

Then we can say that the selection of 15 adult at is a binomial experiment

Considering question b

Generally the probability that all of the adults save nothing for retirement is mathematically represented as

P(r =  n) =  ^nC_r * p^r *  q^{n-r}

Here C stands for combination

r = 15 i.e all the selected adults

      n is the sample size with value  15

From the question p = 0.20

and q is calculated as

q =  1 - p

=> q =  1 - 0.20

=> q =  0.80

So

P(r =  15) =  ^{15}C_{15} * p^{15} *  q^{15-15}

P(r =  15) =  3.2768 *10^{-11}

Considering question c

Generally the probability that exactly five of the selected adults save nothing for retirement is mathematically represented as

P(r  =  5) =  ^{15} C_5 * (0.20)^5 *  (0.80)^{15}

P(r  =  5) =  0.1032

Considering question d

Generally the probability that at least one of the selected adults saves nothing for retirement is mathematically represented as

P(r \ge 1 ) =  1 - P (r = 0 )

P(r \ge 1 ) =  1 - [ ^{15} C _ 0 *  (0.20)^{0} * (0.80 )^{15}]

P(r \ge 1 ) =  1 - 0.0352

P(r \ge 1 ) =  0.9648

4 0
2 years ago
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