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4 years ago

Write a proportion and show work

Mathematics

2 answers:

NeX [460]4 years ago

8 0

for this case we must write a proportion that shows the earnings obtained from Mrs. Miller for the sale of the house.

By making a rule of three we have:

179000 ------------> 100%

x -----------------------> 6%

Where "x" represents the gains obtained.

So:

$x = \frac {6 * 179000} {100}$

Writing the proportion:

$\frac {x} {179000} = \frac {6} {100}$

The earns were:

$x = 10740$

ANswer:

$\frac {x} {179000} = \frac {6} {100}\\x = 10740$

Irina-Kira [14]4 years ago

3 0

Answer:

$10,740

Step-by-step explanation:

You know that Mrs. Miller sells a house for $179,000. Then the cost of the house will be the 100%.

Knowing that she earns 6% of comission, you can set up the following proportion (Let be "x" the amount of money she earns), then:

$\frac{\$179,000}{100}=\frac{x}{6}$

Now you need to solve for "x". Therefore, you get:

$(6)(\frac{\$179,000}{100})=x$

$x=\$10,740$

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Answer:

Step-by-step explanation:

3 + (-8) - (-8)

= 3 - 8 + 8

= 3

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A herd of 1,500 steer was fed a special high‐protein grain for a month. A random sample of 29 were weighed and had gained an ave

Marianna [84]

By formula we know that:

z (x) = (x - m) / [sd / sqrt (n)]

where x is the value we want to know (6.7), m is the mean (5), sd is the standard deviation (7.1) and n is the sample size (29).

Replacing we have:

z (6.7) = (6.7 - 5) / [7.1 / sqrt (29)]

z = 1.289

If we look in the normal distribution table (attached), we have that the probability is 0.8997, therefore:

1 - 0.8897 = 0.1003

So the conditional probability of a herd sample earning at least 6.7 pounds per steer is 10.03%.

Now the hypothesis tells me:

m> 5

The probability is somewhat low, therefore, the most correct thing is to reject the hypothesis even though it is a fact that can occur.

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3 years ago

Find the volume of each composite figure. 4. 3 in. 6 in. 14 in. 6 in.

IgorLugansk [536]

Answer:

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3 years ago

An object was launched off the top of a building. The function f(x)=-16x^2+16x+672 represents the height of the object above the

Katarina [22]

Answer:

6x2 + 16x = 672

Reorder the terms:

16x + 16x2 = 672

Solving

16x + 16x2 = 672

Solving for variable 'x'.

Reorder the terms:

-672 + 16x + 16x2 = 672 + -672

Combine like terms: 672 + -672 = 0

-672 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.

16(-42 + x + x2) = 0

Factor a trinomial.

16((-7 + -1x)(6 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms: 0 + 7 = 7

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying

6 + -1x = 0

Solving

6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -1x = 0 + -6

-1x = 0 + -6

Combine like terms: 0 + -6 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

Solution

x = {-7, 6}

Step-by-step explanation:

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3 years ago

Assume that when adults with smartphones are randomly selected, 42% use them in meetings or classes. If 5 adult smartphone use

Dmitrij [34]

Answer:

The probability that exactly 2 of 5 use their smartphones in meetings or classes is 0.3442.

Step-by-step explanation:

Let X = number of adults who use smartphones in meetings or classes.

The probability of the random variable X is, P(X) = p = 0.42

A sample of n = 5 adult smartphone users are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

Compute the value of P (X = 2) as follows:

$P(X=2)={5\choose 2}0.42^{2}(1-0.42)^{5-2}\\=10\times 0.1764\times0.195112\\=0.344177\\\approx0.3442$

Thus, the probability that exactly 2 of 5 use their smartphones in meetings or classes is 0.3442.

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3 years ago