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3 years ago

PLS HELP TIMED HW WILL GIVE BRAINLEIST

Mathematics

1 answer:

pochemuha3 years ago

4 0

Answer:

4.8

Step-by-step explanation:

$V_{sphere} = \frac{4}{3} \pi r^3$

$144\pi= \frac{4}{3} \pi r^3$

$r^3 = \frac {3 \times 144\pi}{4\pi}$

$r^3 = 3 \times 36$

$r^3 = 108$

$r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \:$

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The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What

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Answer:

$Mean = 0.36$

$SD = 0.5817$

$P(x=3) = 0.003588$

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

$P(A) = 0.06$

$n = 6$

Solving (a): Mean and Standard deviation.

The mean is:

$Mean = np$

$Mean = 6 * 0.06$

$Mean = 0.36$

The standard deviation is:

$SD = \sqrt{np(1-p)}$

$SD = \sqrt{6*0.06*(1-0.06)}$

$SD = \sqrt{0.3384}$

$SD = 0.5817$

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

$P(x) = ^nC_x * p^x * (1-p)^{n-x}$

So, we have:

$P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}$

$P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3$

$P(x=3) = 20 * 0.06^3 * (1-0.06)^3$

$P(x=3) = 0.003588$

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3 years ago

Here are some numbers written in standard form. From these numbers write down/

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Answer:

When we have a number like:

1.0x10^n

To rewrite this in standard form, we need to:

if n is positive, we move the decimal point n times to the right, adding zeros when necessary.

1.0x10^3

n = 3. then we add 3 zeros between the one and the decimal point, this is:

1.0x10^3 = 1000

if n< 0, then we move the decimal point n times to the left.

If we had:

1.0x10^-3

We move the decimal point 3 times to the left, adding zeros as this is needed.

1.0x10^-3 = 0.001

if n = 0, we have:

1.0x10^0 = 1.0

Now let's rewrite all the given numbers:

A) 3.4x10^-1 = 0.34

B) 1.36x10^6 = 1360000

C) 7.9x10^0 = 7.9

D) 2.4x10^5 = 240000

E) 5.21x10^-3 = 0.00521

F) 4.3x10^-2 = 0.043

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

The model includes a new park in the center of the city. If the dimensions of the

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The question is incomplete. Here is the complete question.

As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

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In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

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3 years ago

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4 years ago