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4 years ago

5

Nine less than a number algebraic expression

2 answers:

nalin [4]4 years ago

7 0

Nine less than a number

is

n - 9

timofeeve [1]4 years ago

7 0

The answer is x - 9, where x is the number.

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You need to put your reindeer, Lancer, Prancer, Gloopin, and Bloopin, in a single-file line to pull your sleigh. However, Prance

oee [108]

Answer:

12 ways

Step-by-step explanation:

Normally there are 4 species of deer in the reindeer, which normally could have been arranged in 4! ways = 24 ways

Now considering the restriction that Prancer and Lancer are put apart

The number of arrangement when they are apart = Total number of ways - number of ways when they are together

Note: If they are put together, the two are seen as one which makes the arrangement to be 3!, but also note that either of them can be at the front or back.

Therefore, the number of arrangement when Prancer and Lancer are put together = 2(3!) = 2(3*2*1) = 12 ways

The number of arrangement when they are put apart = 24 - 12 = 12 ways

7 0

4 years ago

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Choose a ratio that forms a proportion with 5/8 A: 50/80 B: 40/80 C: 55/64 D: 50/88

Serga [27]

Answer:THe answer is A

Step-by-step explanation:

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3 years ago

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4. 4x-(3/5)=(2/5) 5. x-13+4x=22 6. -36=(-6)(2x-14)

FromTheMoon [43]

Answer:

4.1/4

5.7

6.10

Step-by-step explanation:

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4 years ago

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

a sandbox is a square with an area of 32 square feet. What is the length of each side to the nearest tenth?

Semmy [17]

Answer:

5.6 ft

Step-by-step explanation:

5 0

3 years ago