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3 years ago

6

What the GCF to 100 and 16

2 answers:

Vladimir79 [104]3 years ago

8 0

Answer:

The GCF of 100 and 16 is 4

Marina CMI [18]3 years ago

7 0

The gcf between 100 and 16 is 4 I hope this helps

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Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in

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4 years ago

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Evaluate 15/20 . 1/4

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15/20 is 3/4s or 0.75

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What number cannot be divided into 3 groups without a remainder?

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A basketball player makes a free throw 82.6% of the time. The player attempts 5 free throws. Use a histogram of the binomial dis

DiKsa [7]

Answer:

The most likely outcome is exactly 4 free throws

Step-by-step explanation:

Given

$n = 5$ --- attempts

$p = 82.6\%$ ---- probability of a successful free throw

$p = 0.826$

Required

A histogram to show the most likely outcome

From the question, we understand that the distribution is binomial.

This is represented as:

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

For x = 0 to 5, where x represents the number of free throws; we have:

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

$P(X = 0) = ^5C_0 * 0.826^0 * (1 - 0.826)^{5-0}$

$P(X = 0) = ^5C_0 * 0.826^0 * (0.174)^{5}$

$P(X = 0) = 1 * 1 * 0.000159 \approx 0.0002$

$P(X = 1) = ^5C_1 * 0.826^1 * (1 - 0.826)^{5-1}$

$P(X = 1) = ^5C_1 * 0.826^1 * (0.174)^4$

$P(X = 1) = 5 * 0.826 * 0.000917 \approx 0.0038$

$P(X = 2) = ^5C_2 * 0.826^2 * (1 - 0.826)^{5-2}$

$P(X = 2) = ^5C_2 * 0.826^2 * (0.174)^{3}$

$P(X = 2) = 10 * 0.682 * 0.005268 \approx 0.0359$

$P(X = 3) = ^5C_3 * 0.826^3 * (1 - 0.826)^{5-3}$

$P(X = 3) = ^5C_3 * 0.826^3 * (0.174)^2$

$P(X = 3) = 10 * 0.5636 * 0.030276 \approx 0.1706$

$P(X = 4) = ^5C_4 * 0.826^4 * (1 - 0.826)^{5-4}$

$P(X = 4) = 5 * 0.826^4 * (0.174)^1$

$P(X = 4) = 5 * 0.4655 * 0.174 \approx 0.4050$

$P(X = 5) = ^5C_5 * 0.826^5 * (1 - 0.826)^{5-5}\\$

$P(X = 5) = ^5C_5 * 0.826^5 * (0.174)^0$

$P(X = 5) = 1 * 0.3845 * 1 \approx 0.3845$

From the above computations, we have:

$P(X = 0) \approx 0.0002$

$P(X = 1) \approx 0.0038$

$P(X = 2) \approx 0.0359$

$P(X = 3) \approx 0.1706$

$P(X = 4) \approx 0.4050$

$P(X = 5) \approx 0.3845$

See attachment for histogram

<em>From the histogram, we can see that the most likely outcome is at: x = 4</em>

<em>Because it has the longest vertical bar (0.4050 or 40.5%)</em>

3 0

3 years ago

3. At a poster shop, Han paid $16.80 for 2 large posters and 3 small posters of his

Sunny_sXe [5.5K]

Answer:

small posters cost $2.30 each

large posters cost $4.95 each

Step-by-step explanation:

Let

price of large poster be "l", and

price of small poster be "s"

$16.80 for 2 large and 3 small, we can write:

2l + 3s = 16.80

Then,

$14.15 for 1 large and 4 small, we can write:

l + 4s = 14.15

We can write this as:

l = 14.15 - 4s

Now we substitute this expression for "l" into first equation and solve for s first:

$2l+3s=16.80\\2(14.15 - 4s)+3s=16.80\\28.30-8s+3s=16.80\\5s=11.5\\s=2.30$

small posters cost $2.30 each

Now, we know l = 14.15 - 4s, so

l = 14.15 -4(2.30)

l = 4.95

large posters cost $4.95 each

7 0

4 years ago