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3 years ago

Given the function f(x) = 4x + 10 and g(x), which function has a greater slope? x g(x) 2 5 4 7 6 9

Mathematics

1 answer:

Alborosie3 years ago

6 0

Answer:

Function f(x) has slope 4, which is greater.

Step-by-step explanation:

Next time please present your data in tabular form:

x g(x)

2 5

4 7

6 9

From this table it is immediately evident that if x increases by 2, y increases by 2 also. Thus, the slope of the line is m = rise / run = 2 / 2 = 1, for function g(x). Function f(x) has slope 4, which is greater.

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The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation

Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

Sample size: n = 20
Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

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

So, the equation becomes

$P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}$

This gives

$P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}$

$P(x = 11) = 0.0011$

Express as percentage

$P(x = 11) = 0.11\%$

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all 20 would graduate? </h3>

Using the binomial probability formula, we have:

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

So, the equation becomes

$P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}$

This gives

$P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0$

$P(x = 20) = 0.0388$

Express as percentage

$P(x = 20) = 3.88\%$

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

$\mu = np$

So, we have:

$\mu = 20 \times 85\%$

$\mu = 17$

The standard deviation is calculated as:

$\sigma = np(1 - p)$

So, we have:

$\sigma = 20 \times 85\% \times (1 - 85\%)$

$\sigma = 20 \times 0.85 \times 0.15$

$\sigma = 2.55$

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0

2 years ago

Tabitha's truck gets between 21 and 24 miles

pickupchik [31]

Start by finding the mean of the gas range:
21+24/2= 22.5
Multiply 22.5 by 20
22.5 x 20= 450

Your answer is 450 miles

4 0

3 years ago

What is 1/5 x 5 1/3? help please

Law Incorporation [45]

Answer:

1 1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

8 0

3 years ago

Does anyone know the answers???

Vikentia [17]

Answer:

20. C, 21. A, 22. B

Step-by-step explanation:

20. Terms are numbers with variables next to them.

21. T can be anything. It can't be irrational because timers have a certain number. So for example, swimmer swims in 10 seconds, 18.5 seconds, 18.67 seconds, and so on.

22. If you solve 3x ≥ -12 and 8x ≤ 16, you get 3x ≥ -12; x = -4, and 8x ≤ 16; x = 2.

Hope it Helps!

Plz give brainliest. It would be appreciated!

7 0

3 years ago

Graph the line that goes through: (−2, 5) with a slope = −4

Shalnov [3]

Answer:

-1,1 0,-3

Step-by-step explanation:

start at -2, 5 and go down 4 right 1.

Rinse and repeat

5 0

3 years ago