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3 years ago

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Mathematics

2 answers:

Mrac [35]3 years ago

8 0

Answer:

okay

Step-by-step explanation:

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nlexa [21]3 years ago

7 0

Answer:

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What is the distance between (-2 1/2,-3) and (1,-3

satela [25.4K]

Answer:

$3\frac{1}{2}\ units$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$(-2\frac{1}{2},-3)\ and\ (1,-3)$

Convert mixed number to an improper fraction

$2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}$

we have

$(-\frac{5}{2},-3)\ and\ (1,-3)$

substitute the values in the formula

$d=\sqrt{(-3+3)^{2}+(1+\frac{5}{2})^{2}}$

$d=\sqrt{(0)^{2}+(\frac{7}{2})^{2}}$

$d=\frac{7}{2}\ units$

Convert to mixed number

$\frac{7}{2}\ units=\frac{6}{2}+\frac{1}{2}=3\frac{1}{2}\ units$

6 0

3 years ago

Read 2 more answers

Using the quadratic formula to solve 11x^2-4x=1, what are the values of X?

Rashid [163]

The correct answers for x would be $\frac{2 +/- \sqrt{15} }{11}$ .

In order to find this, we must first get the equation to equal 0. In order to do that, subtract 1 from each side to get the following.

11 $x^{2}$ - 4x - 1 = 0

Knowing this we can now use the quadratic equation using a = 11, b = -4 and c = -1. The quadratic equation is below.

$\frac{-b +/- \sqrt{ b^{2} - 4ac} }{2a}$

Now we can plug the values into the equation to solve.

$\frac{4 +/- \sqrt{ -4^{2} - 4(11)(-1)} }{2(11)}$

Then simplify using the order of operations.

$\frac{2 +/- \sqrt{15} }{11}$ .

5 0

4 years ago

eu (european union) countries report that 46% of their labor force is female. The United Nations wnats to determine if the perce

Brrunno [24]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 employment records, representatives from the United States Department of Labor found that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. If the Department of Labor wishes to tighten its interval, they should:

A. increase the confidence level

B. decrease the sample size

C. increase the sample size

D. Both A and B

E. Both A and C

Solution:

Confidence interval for population proportion is written as

Sample proportion ± margin of error

Where sample proportion is the point estimate for the population proportion.

Margin of error = z × √pq/n

The z score for 95% confidence level is 1.96

p = 46/100 = 0.46

q = 1 - p = 1 - 0.46

q = 0.54

n = 500

Margin of error = 1.96√0.46 × 0.54/500 = 0.044

To tighten it's interval, the margin of error needs to be reduced.

If we increase the confidence level, say to 99%, z = 2.58

Then

Margin of error = 2.58√0.46 × 0.54/500 = 0.058

It increased

Also, If we increase the sample size, say to 700, then

Margin of error = 1.96√0.46 × 0.54/700 = 0.037

It has reduced

Therefore, the correct options is

C. increase the sample size

8 0

3 years ago

mark earns $300 per month plus an additional 2% on all of his sales. Last month he sold $59,000. What was Mark's income for the

True [87]

Answer: $1480

Step-by-step explanation:

He earns $300 per month

x = 300

Plus an addition 2% (0.02) of his sales (y)

x+0.02y

Last month he sold $59,000

y=59000

Mark's income= x+0.02y

$300+0.02(59000)\\=1480$

5 0

3 years ago

Helppp. lolll will give BRAINLIEST

harina [27]

Answer:

A) 5 7/10 =7/2 = 3.5

B) 5 28/33 = 140/33 = 4.24...

this one is correct - C) 5 26/33 = 130/33 = 3.93...

D) 5 39/50 = 39/10 = 3.9

5.78 =5 71/90

5.78 =5 26/33

5 0

3 years ago

Read 2 more answers