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3 years ago

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Mathematics

2 answers:

iris [78.8K]3 years ago

6 0

Answer:

D x≥4

Step-by-step explanation:

−7 ≥ 13−5x

5x ≥ 20

x ≥ 4

Otrada [13]3 years ago

4 0

Answer:

Step-by-step explanation:

Given

- 7 ≥ 13 - 5x ( add 5x to both sides )

5x - 7 ≥ 13 ( add 7 to both sides )

5x ≥ 20 ( divide both sides by 5 )

x ≥ 4 → D

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A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

25x = 125x + 3 x = −10 x = −9 x = −3 x = 3

ICE Princess25 [194]

Answer:

x=-9

Step-by-step explanation:

first you make the coefficients equal to each other by doing a common factor which in this case is 5. Then you have to do the variable for each time the common number is repeated which is 5^x * 5^x= 5^(x+3)*5^(x+3)*5^(x+3) This would make it equal to 5^2x=5^(3x+9). Since the non exponents are common factors you can get rid of them and solve for the exponent by doing 2x=3x+9. You solve that equation to get x=-9.

8 0

3 years ago

Choose 3 values that would make thi inequalitie true 28+x>42

Y_Kistochka [10]

9514 1404 393

Answer:

14.01, 493, 87

Step-by-step explanation:

Subtracting 28 from both sides tells you the range of values you need to be looking at.

28 + x > 42

x > 14

Any values more than 14 will make the inequality true. Three of them are ...

14.01, 493, 87

4 0

3 years ago

Tina covers the floor of a room with carpeting. She uses carpet squares that measure one foot on each side. How many carpet squa

gizmo_the_mogwai [7]

Answer:

She need 96 square feet carpet to cover the room.

Step-by-step explanation:

Given:

Tina covers the floor of a room with carpeting. She uses carpet squares that measure one foot on each side.

Now, to find carpet squares does she need to cover a room that 8 feet wide by 12 feet long.

So, the dimensions of room are:

Length = 12 feet.

Width = 8 feet.

Now, getting the area by putting formula:

Area of room = Length × width

$Area\ of\ room = 12\times 8$

$Area\ of\ room=96\ square\ feet.$

Therefore, she need 96 square feet carpet to cover the room.

3 0

3 years ago

Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. How many gallons can Joe's tank hold?

Korolek [52]

Answer:

Amount of gas that can be hold by Joe's tank = 16 gallons.

Step-by-step explanation:

Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.

So let's find change that happened after filling the gas.

Change = (5/8 full) - (1/4 full)

Change = (5/8 - 1/4) full

Change = (5/8 - 2/8) full

Change = (5 - 2)/8 full

Change = 3/8 full

So that means 3/8 full happens in 6 gallons

then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons

So the amount of gas that can be hold by Joe's tank = 16 gallons.

3 0

3 years ago