After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?

Answers

Answer 1

Answer:

Final answer:

The appropriate hypotheses for the engineer's hypothesis test on the proportion of households without power are the null hypothesis that the proportion is 19%, and the alternative hypothesis that the proportion is greater than 19%.

Explanation:

The appropriate hypotheses for the engineer's hypothesis test on the proportion of households without power after the tropical storm would be:

Null Hypothesis (H0): The proportion of all households without power is 19%.
Alternative Hypothesis (Ha): The proportion of all households without power is greater than 19%.

The engineer will collect data and perform the hypothesis test to determine if there is sufficient evidence to conclude that the estimate is too low.

Learn more about Hypothesis testing here:

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Write a whole number and a fraction greater than 1 to name the part filled.Think : 1 container = 12 boxes with 4 shaded circles in each

Answers

I'll answer the second question it is 2x4 which = 8 boxes

which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)

Answers

Answer:

$\text{The equation represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is 3x-4y=-4}$

Step-by-step explanation:

Given the equation 3x - 4y = 7

we have to find the equation which represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2)

As parallel lines have same slope therefore we find the slope of given line

$3x-4y=7$

$4y=3x-7$

$y=(3)/(4)x-(7)/(4)$

Comparing above equation with general equation y=mx+c, where m is slope

⇒ $m=(3)/(4)$

$\text{The equation of line having slope }(3)/(4)\text{ and passing through the point (-4,-2) is}$

$y-y'=m(x-x')$

$y-(-2)=(3)/(4)(x-(-4))$

$y+2=(3)/(4)(x+4)$

$4y+8=3x+12$

$3x-4y=-4$

which is required equation.

Option 2 is correct.

Pythagorean Theorem Determine the length of the missing side?

Answers

The answer should be 12.2
7^2+10^2=c^2
49+100=c^2
149=c^2
12.2=c

Answer:

c= sqrt149; 12.2 rounded

Step-by-step explanation:

Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2

7^2+10^2=149

sqrt149= 12.2 rounded

there are 94 suitcases in number one cargo bin. there are two cargo bins to be loaded on the airplane. the second bin contains 214 suitcases and the third 103 suitcases. if all three of these cargo bins are loaded onto the 747 airplane,how many total suitcases will be in the cargo area?

Answers

isnt it simple addition? i'm aint sure because i'm french but if i understand well, it suppose to be 411

Final answer:

The total suitcases in all three cargo bins, when added up (94 + 214 + 103), equals 411. Consequently, there will be 411 suitcases in the cargo area of the 747 airplane.

Explanation:

Total suitcase calculation involves simply adding up the numbers from all three cargo bins. The first bin contains

94 suitcases, the second bin 214 suitcases, and the third contains 103 suitcases. Adding all these up gives a total suitcase number as follows: 94 + 214 + 103 = 411. Therefore, if all these cargo bins are loaded onto the 747 airplane, here will be 411 suitcases in the cargo area.