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3 years ago

Graph the following inequality and then select the correct graph below. x - y - 2 ≥ 0

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

x - y - 2 ≥ 0

Step-by-step explanation:

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Which is greater 5/6 or 2/3

geniusboy [140]

5/6 because 5/6=0.80 and 2/3=0.66

6 0

3 years ago

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Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago

If f(x)=4x−7 what is f(−5)? 1. 13 2. -27 3. -13 4. 27

Xelga [282]

Answer:

option 2

Step-by-step explanation:

Substitute x = - 5 into f(x) , that is

f(- 5) = 4(- 5) - 7 = - 20 - 7 = - 27

3 0

2 years ago

Maya runs a farm stand that sells raspberries and blueberries. Each pound of raspberries sells for $1 and each pound of blueberr

aniked [119]

30 pounds of raspberries and 50 pounds of blueberries are sold

Solution:

Let "a" be the pounds of raspberries sold

Let "b" be the pounds of blueberries sold

Cost per pound of raspberry = $ 1

Cost per pound of blue berry = $ 3.25

Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries

Therefore,

a + b = 80

a = 80 - b ------- eqn 1

Maya made $192.50. Therefore, frame a equation as:

pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50

$a \times 1 + b \times 3.25 = 192.50$

a + 3.25b = 192.50 ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

80 - b + 3.25b = 192.50

2.25b = 192.50 - 80

2.25b = 112.5

Divide both sides by 2.25

b = 50

Substitute b = 50 in eqn 1

a = 80 - 50

a = 30

Thus 30 pounds of raspberries and 50 pounds of blueberries are sold

3 0

3 years ago

PLEASE HELP ME !!!!!!!!!!

WINSTONCH [101]

Answer:

It would be 2001 and 2002

Hope this helps you :)

8 0

3 years ago

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