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Nuetrik [128]
3 years ago
10

Is a tray with a circumference of 32 inches is big enough to

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Circumference formula is C=2 pi r, if you divide the pizza by 2 to get the radius,5, then input it into the formula to get 31.41592654, and since this number is smaller than 32 it will fit. If 10 is the radius it will not fit.

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The half-life of iron-52 is approximately 8.3 hours.How much of a 13 gram sample of iron-52 would remain after 8 hours? Round to
Alexandra [31]

6.665 grams of the 13 grams remain after 8 hours.

<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>

The decay equation for the 13 grams of iron-52 is:

N(t) = 13g*e^{(-ln(2)/8.3h)*t}}

Where N is the amount of iron-52, and t is the time in years.

Where we used the fact that the half-life is exactly 8.3 hours.

Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:

N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g

So 6.665 grams of the 13 grams remain after 8 hours.

If you want to learn more about half-life:

brainly.com/question/11152793

#SPJ1

5 0
2 years ago
The mean annual tuition and fees for a sample of 15 private colleges was with a standard deviation of . A dotplot shows that it
Fudgin [204]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

The mean annual tuition and fees for a sample of 15 private colleges was $35,500 with a standard deviation of $6500. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $32,500. State the null and alternate hypotheses. A) H0: 4 = 32,500, H:4=35,500 C) H: 4 = 35,500, H7:35,500 B) H: 4 = 32,500, H : 4 # 32,500 D) H0:41 # 32,500, H : 4 = 32,500

Solution

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 32500

For the alternative hypothesis,

Ha: µ ≠ 32500

This is a two tailed test.

Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.

Since n = 15,

Degrees of freedom, df = n - 1 = 15 - 1 = 14

t = (x - µ)/(s/√n)

Where

x = sample mean = 35500

µ = population mean = 32500

s = samples standard deviation = 6500

t = (35500 - 32500)/(6500/√15) = 1.79

We would determine the p value using the t test calculator. It becomes

p = 0.095

Assuming alpha = 0.05

Since alpha, 0.05 < than the p value, 0.095, then we would fail to reject the null hypothesis.

7 0
3 years ago
Express 3/4 in sixty- fourths
Marrrta [24]
If you want 3/4 in 64's, multiply the numerator (3) by 16, as 4 x 16 = 64. 

<span>3 x 16 </span>
<span>--------- </span>
<span>4 x 16 </span>

<span>= 48/64</span>
4 0
3 years ago
5|x3 - 21 + 7 when x = -2.
Tomtit [17]

Answer:

-422

Step-by-step explanation:

51[-2]³ - 21 + 7

51[-8] - 14

-408 - 14 = -422

I am joyous to assist you anytime.

6 0
3 years ago
Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has a balance of $48.00. Which equation can be used to determi
andreev551 [17]

Answer:

d≤48/2.15

Step-by-step explanation:

Step one:

Given data

Claudia spends $2.15 a day for lunch.

We are told that her balance is  $48.00

let the number of days be d

Step two:

The maximum number of days she can eat is given as

d≤48/2.15

d≤22.33 days

7 0
3 years ago
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