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3 years ago

What is the answer to 9(1 + x) =

Mathematics

2 answers:

muminat3 years ago

6 0

Answer:

The answer would be -1 good luck

Step-by-step explanation:

Colt1911 [192]3 years ago

5 0

Answer: 9+9x

Step-by-step explanation: you want to distribute the 9 to everything in the parentheses

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Three dressers are placed side by side. One dresser is 6 feet 7 inches wide, another is 2 feet 10 inches wide, and the third is

horsena [70]

1 foot = 12 inches

dresser 1 = 6 ft 7 inches

dresser 2 = 2 ft 10 inches

dresser 3 = 2 ft 8 inches

6 +2 +2 = 10 feet

7+10+8=25 inches

25/12 = 2 feet 1 inch

10 +2 = 12 feet plus 1 inch

total width = 12 feet 1 inch

5 0

4 years ago

Use compatible numbers to estimate the following: Mark bought a digital camera for $148.65. If this amount was to be split betwe

KonstantinChe [14]

Estimate :
148.65 rounds to 150
split between 3 people.....150/3 = 50

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4 years ago

I need to get my homework done

Greeley [361]

Answer:

It should be 8 i believe

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

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

3 years ago

sheilas cell phone plan consists of a monthly rate and a fee for each minute she talks over 500 minutes per month. Her july bill

tatuchka [14]

First of all we need to formulate two equations.

x = monthly fee per minute
y = monthly fee per minute over 500

500x + 130y = $53.55
500x + 209y = $63.03

Since we know that 500x = $53.55 - 130y we can substitute.

($53.55 - 130y) + 209y = $63.03
79y = 9.48
y = $0.12

Now we can substitute y into the other equation.

500x = $53.55 - 130(0.12)
500x = $53.55 - $15.6
500x = $37.95

So the answer is $37.95 monthly for 500 minutes with an over quota fee of $0.12 per minute.

7 0

3 years ago