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3 years ago

\dfrac k{2}+\dfrac12=3 2 k + 2 1 =3

Mathematics

2 answers:

Lorico [155]3 years ago

7 0

Answer:

it 5

Step-by-step explanation:

i got i correct

konstantin123 [22]3 years ago

3 0

it's so hard to find it

Step-by-step explanation:

I didn't know

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Find the amount withheld for Social Security weekly:

stira [4]

The amount withheld for Social Security weekly: $21.70.

<h3>Social security</h3>

Social security rate is 6.2% or 0.062

Weekly salary=$350

Using this formula

Social security=Social security rate×Weekly salary

Let plug in the formula

Social security=0.062×$350

Social security=$21.70

Therefore the amount withheld for Social Security weekly: $21.70.

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2 years ago

Variables x and y are in direct proportion, and y = 48n when x = 16n. Which value of k correctly relates x and y in the equation

ella [17]

You want k.
k=y/x=48n/16n=3

3 0

3 years ago

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.

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8 0

3 years ago

3. There are 45 males and 60 females in a subway car. What is the ratio of males to females? Write your answer as a fraction in

Studentka2010 [4]

Answer:

3/4 or 0.75

Step-by-step explanation:

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4 years ago

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Which expression is equivalent to ^4sqrt6/^3sqrt2?

BigorU [14]

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3 years ago

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\dfrac k{2}+\dfrac12=3 2 k ​ + 2 1 ​ =3

\dfrac k{2}+\dfrac12=3 2 k + 2 1 =3