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Arte-miy333 [17]

3 years ago

13

Molly has biweekly gross earnings of $839.52. By claiming 1 more withholding allowance, Molly would have $16 more in her take ho

me pay. How many withholding allowances does Molly currently claim?

1 answer:

erik [133]3 years ago

7 0

The answer is C)3 ....

Hope it helps!

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<1 is complementary to <5 and <7 is complementary to <5 what are the congruent angles

seropon [69]

Angle 1 is congruent to angle 7

7 0

3 years ago

It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell

Mademuasel [1]

Answer:

a) 75

b) 4.33

c) 0.75

d) $3.2 \times 10^{-13}$ probability that no one in a simple random sample of 100 young adults owns a landline

e) $6.2 \times 10^{-61}$ probability that everyone in a simple random sample of 100 young adults owns a landline.

f) Binomial, with $n = 100, p = 0.75$

g) $4.5 \times 10^{-8}$ probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

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

75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.

This means that $p = 0.75$

(a) On average, how many young adults do not own a landline in a random sample of 100?

Sample of 100, so $n = 100$

$E(X) = np = 100(0.75) = 75$

(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100(0.75)(0.25)} = 4.33$

(c) What is the proportion of young adults who do not own a landline?

The estimation, of 75% = 0.75.

(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?

This is P(X = 100), that is, all do not own. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 100) = C_{100,100}.(0.75)^{100}.(0.25)^{0} = 3.2 \times 10^{-13}$

$3.2 \times 10^{-13}$ probability that no one in a simple random sample of 100 young adults owns a landline.

(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?

This is P(X = 0), that is, all own. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{100,0}.(0.75)^{0}.(0.25)^{100} = 6.2 \times 10^{-61}$

$6.2 \times 10^{-61}$ probability that everyone in a simple random sample of 100 young adults owns a landline.

(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?

Binomial, with $n = 100, p = 0.75$

(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?

This is P(X = 50). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 50) = C_{100,50}.(0.75)^{50}.(0.25)^{50} = 4.5 \times 10^{-8}$

$4.5 \times 10^{-8}$ probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

8 0

2 years ago

Need help with this asap!

My name is Ann [436]

Answer:

Step-by-step explanation:

1 ) 2 + 7t [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

= 6 r - 16 r [ both are like terms ]

= - 10 r

3) (3x + 2 ) + ( 2x - 4 )

= 3x + 2 + 2x - 4

= 3x + 2x - 4 + 2 [ arranging like terms together ]

= 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

= 8n² - 3n + 6 + n - 2

= 8n² - 3n + n + 6 - 2 [ bringing like terms together ]

= 8n² - 2n + 4

6 0

3 years ago

Read 2 more answers

X/4 + 9 = x ? A)12, B)14, C)10, D)5

Eddi Din [679]

Answer:

A) 12.

Step-by-step explanation:

Plug in 12 for x in the given equation:

x/4 + 9 = x

(12)/4 + 9 = 12

Simplify. Remember to follow PEMDAS. First, divide, then add:

(12/4) + 9 = 12

(3) + 9 = 12

12 = 12 (True).

~

5 0

3 years ago

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ABCD is a rectangle. What is the value of x?

kvv77 [185]

The answer is 33 meters
use the Pythagorean theorem
56^2+x^2=65^2
3136+x^2=4225
x^2=1089
x=33

6 0

3 years ago

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