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3 years ago

Determine the number of solutions: 2x-7=3x+8

Mathematics

2 answers:

Alborosie3 years ago

8 0

Answer:

x=-15

Step-by-step explanation:

siniylev [52]3 years ago

5 0

Answer:

1 solution

Step-by-step explanation:

2x-7+3x+8

add 7 to both sides

2x=3x+15

subtract 3x from both sides

-1x=15

divide both sides by -1

x=-15

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According to the U.S. Census Bureau, 42% of men who worked at home were college graduates. In a sample of 480 women who worked a

Likurg_2 [28]

Answer:

1) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

The point estimate for the proportion of college graduates among women who work at home is 0.327

2) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

Step-by-step explanation:

For this case we have the following info given:

$X = 157$ represent the women who worked at home who were college graduates

$n = 480$ the sample size selected

Part 1

In order to find the proportion of college graduates among women who work at home and we can use the following formula:

$\hat p=\frac{X}{n} = \frac{157}{480}= 0.327$

The point estimate for the proportion of college graduates among women who work at home is 0.327

Part 2

Construct an 80% confidence interval for the proportion of women who work at home who are college graduates. Round the answer to three decimal places. An 80% confidence interval for the proportion of women who work at home Is < p <

The confidence interval for the true proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 80% confidence interval the value for the significance is $\alpha=1-0.8=0.2$ and $\alpha/2=0.1$ , the critical value would be given by:

$z_{\alpha/2}=0.539$

And replacing we goot:

$0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

6 0

3 years ago

50 more than ___ is 64.

Sloan [31]

50 more than 14 is 64

14 + 50 = 64

Hope this helps

-AaronWiseIsBae

6 0

4 years ago

Read 2 more answers

Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is

maw [93]

There are 120 ways in which 5 riders and 5 horses can be arranged.

We have,

5 riders and 5 horses,

Now,

We know that,

Now,

Using the arrangement formula of Permutation,

i.e.

The total number of ways $^nN_r = \frac{n!}{(n-r)!}$ ,

So,

For n = 5,

And,

r = 5

As we have,

n = r,

So,

Now,

Using the above-mentioned formula of arrangement,

i.e.

The total number of ways $^nN_r = \frac{n!}{(n-r)!}$ ,

Now,

Substituting values,

We get,

$^5N_5 = \frac{5!}{(5-5)!}$

We get,

The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,

So,

There are 120 ways to arrange horses for riders.

Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.

Learn more about arrangements here

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7 0

2 years ago

PROVE THE base angles of an isosceles triangle are congruent

Leno4ka [110]

You could use the isosceles triangle theorems. if two sides of a triangle are congruent, then then angles opposite those sides are congruent. so if the two sides of the triangle are congruent (which they should be if it’s an isosceles triangle) then the isosceles triangle theorem proves that the base angles are congruent

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3 years ago

Write the mixed number equivalent for improper fraction

umka21 [38]

Hello!

The fraction is an improper fraction (the numerator is greater than the denominator). The whole number part of the mixed number is found by dividing the 24 by the 9. The fractional part of the mixed number is found by using the remainder of the division, which in this case is 6 (24 divided by 9 is 2 remainder 6).

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3 years ago