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ki77a [65]
3 years ago
12

8.7 cm

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

9514 1404 393

Answer:

  A. 570.69 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

The radius is half the diameter, so is 4.35 cm. Then the volume is ...

  V = π(4.35 cm)²(9.6 cm) = 181.656π cm³ ≈ 570.69 cm³

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Rewrite the function f of x equals 7 times one half to the 3 times x power using the properties of exponents.
Artist 52 [7]

Answer:

f of x equals 7 times one eighth to the x power

Step-by-step explanation:

Given phrase,

function f of x equals 7 times one half to the 3 times x power,

\implies f(x) = 7(\frac{1}{2})^{3x}

By the power to power property of exponent,

That is,

(a^m)^n=a^{m.n}

f(x) = 7((\frac{1}{2})^3)^x

f(x) = 7(\frac{1}{8})^x

= f of x equals 7 times one eighth to the x power

8 0
3 years ago
There are 8 hamburger buns in a package. which number of hamburger buns would fill a whole number of packages: 18, 32, 44, 56?
olganol [36]

Answer:

32 and 56?

Step-by-step explanation:

32 and 56 are related to 8.

32=8x4

56=8x7

6 0
2 years ago
A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l
Mariana [72]

Answer:

Step-by-step explanation:

Hello!

X: the lifespan of a new computer monitor of Glotech.

The average life is μ= 85 months and the variance δ²= 64

And a sample of 122 monitors was taken.

You need to calculate the probability that the sample mean is greater than 86.6 months.

Assuming that the variable has a normal distribution X~N(μ;δ²), then the distribution of the sample mean is X[bar]~N(μ;δ²/n)

To calculate this probability you have to work using the sampling distribution and the following formula Z= (X[bar]-μ)/δ/√n ~N(0;1)

P(X[bar]>86.6)= 1 - P(X[bar]≤86.6)

1 - P(Z≤(86.6-85)/(8/√122))= 1 - P(Z≤2.21)= 1 - 0.98645= 0.013355

The probability of the sample mean is greater than 0.013355

I hope this helps!

7 0
3 years ago
Glen invited 25 people to his birthday party.
Trava [24]

Answer:

20% of the invited people did not attend

Step-by-step explanation:

5 out of 25 people invited didn't attend Glen's party. That means the following:

\frac{5}{25}  people didn't come which simplifies to  \frac{1}{5}

Multiply \frac{1}{5} by the giant one \frac{20}{20} so the denominator is 100 which is the denominator used to find percentages.

You end up with \frac{20}{100}

\frac{20}{100} = 20%

8 0
3 years ago
Which expression is equivalent to –9+(-9)
disa [49]
-9-9 is the answer……
8 0
3 years ago
Read 2 more answers
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