Please, its for a test!

What is the equation of the graph below? A graph shows a parabola that opens up and crosses the x axis at negative two and negat

Anastaziya [24]

Answer:

$y=(x+3)^{2} -1$

Step-by-step explanation:

General equation of a parabola that opens up is $y=a(x-h)^{2} +k$ , a>0

So equation becomes $y=(x-h)^{2} +k$ which implies option A and option B can never be true for this parabola.

Also this parabola's vertex lies in 3rd quadrant where coordinates of both x and y will be negative.

So, the equation of parabola will be of the form $y=(x+h)^{2} - k$

Hence, option 4 that is $y=(x+3)^{2} -1$ is correct.

4 0

3 years ago

Read 2 more answers

In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women w

kompoz [17]

Answer:

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

Step-by-step explanation:

The difference in mean birth weights (nonsmokers minus smokers) is 281.7 grams with a margin of error of 205.2 grams with 95% confidence.

Then, we know that the 95% confidence interval is (76.5, 486.9)

$LL=M-MOE=281.7-205.2=76.5\\\\UL=M-MOE=281.7+205.2=486.9$

a. We are 95% confident that smoking causes lower birth weights by an average of between 76.5 grams to 486.9 grams.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

b. There is a 95% chance that if a woman smokes during pregnancy her baby will weigh between 76.5 grams to 486.9 grams less than if she did not smoke.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

True.

d. With such a large margin of error, this study does not suggest that there is a difference in mean birth weights when we compare smokers to nonsmokers.

There is enough evidence, as the lower bound of the confidence is positive. This means that there is only a probability of 0.05/2=0.025 that the true mean weight difference is smaller than 76.5 grams.

6 0

4 years ago

The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).

3241004551 [841]

Answer:

y = x + 4

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

3 0

4 years ago

Wayne plans to make a nut mixture in the weight ratio 1:2:5, containing cashows, almonds, and pecans, respectively. Which situat

kumpel [21]

Answer:

the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds

Step-by-step explanation:

Ration of Almonds:cashows = 1:2

Almonds/cashows = 1/2

2Almonds = cashows

f() = 2p <--> cashows = 2Almonds

As a result, the function represents the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds

4 0

3 years ago

The coordinates of a triangle's vertices are A(2, 4), B(3, 1), and C(5, 5). The triangle undergoes a translation 4 units to the

AlekseyPX

South west

Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)

Apply to every vertices coordinates(x - 4, y - 5)

New coordinates

A(-2, -1)
B(-1, -4)
C(1,0)

5 0

3 years ago