1. 2x2 + 3xy + 3xy is equivalent to

Answers

Answer 1
Answer:

Answer:

2x2+6xy

Step-by-step explanation:

  • 2x2+3xy+3xy
  • Combine like terms, 2x2+6xy

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Consider a random sample of ten children selected from a population of infants receiving antacids that contain aluminum, in order to treat peptic or digestive disorders. The distribution of plasma aluminum levels is known to be approximately normal; however its mean u and standard deviation o are not known. The mean aluminum level for the sample of n = 10 infants is found to be X = 37.20 ug/l and the sample standard deviation is s = 7.13 ug/1. Furthermore, the mean plasma aluminum level for the population of infants not receiving antacids is known to be only 4.13 ug/1.(a) Formulate the null hypothesis and complementary alternative hypothesis, for a two-sided test of whether the mean plasma aluminum level of the population of infants receiving antacids is equal to the mean plasma aluminum level of the population of infants not receiving antacids.(b) Construct a 95% confidence interval for the true mean plasma aluminum level of the population of infants receiving antacids.(c) Calculate the p-value of this sample (as best as possible), at the a=.05 significance level.(d) Based on your answers in parts (b) and (c), is the null hypothesis rejected in favor of the alternative hypothesis, at the a = .05 significance level? Interpret your conclusion: What exactly has been demonstrated, based on the empirical evidence?(e) With the knowledge that significantly elevated plasma aluminum levels are toxic to human beings, reformulate the null hypothesis and complementary alternative hypothesis, for the appropriate one-sided test of the mean plasma aluminum levels. With the same sample data as above, how does the new p-value compare with that found in part (c), and what is the resulting conclusion and interpretation?
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If bulb 4 were removed from the circuit what would happen to the brightness of the remaining bulbs? would this change if bulbs 3 or 5 were removed rather than 4? explain.

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I thought i knew how to do this but I don’t, sorry

The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they used a new offensive strategy against this defense, they scored 77 points. What is the Z-score of this value

Answers

Answer:

It is better for the warriors to use man-to-man defense.

Step-by-step explanation:

The complete question is: The Westwood Warriors basketball team wants to score more points. To get better at scoring points the  team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while  others primarily use a man-to-man defense. When the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a  man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

Since the Warriors started using their improved offensive strategies they have played two  games with the following results.

Against the McNeil Mavericks

Maverick defense: zone

Warrior points: 77

Against the Round Rock Dragons

Dragon defense: man-to-man

Warrior points: 71

What is the Z-score of these values?

We are given that when the Warriors play against teams that use a zonedefense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a  man-to-man defense they score an average of 62 points per game with a standard deviation of 5 points per game.

We have to find the z-scores.

  • Finding the z-score for the zone defense;

Let X = points score by warriors when they use zone defense

The z-score probability distribution for the normal distribution is given by;

                            Z  =  (X-\mu)/(\sigma)  ~ N(0,1)

where, \mu = mean score = 67 points

            \sigma = standard deviation = 8 points

It is stated that the Warriors scored 77 points when they used zone defense, so;

   z-score for 77 =  (X-\mu)/(\sigma)

                            =  (77-67)/(8)  = 1.25

  • Finding the z-score for the zone defense;

Let X = points score by warriors when they use man-to-man defense

The z-score probability distribution for the normal distribution is given by;

                            Z  =  (X-\mu)/(\sigma)  ~ N(0,1)

where, \mu = mean score = 62 points

            \sigma = standard deviation = 5 points

It is stated that the Warriors scored 71 points when they used man-to-man defense, so;

   z-score for 71 =  (X-\mu)/(\sigma)

                            =  (71-62)/(5)  = 1.8

So, it is better for the warriors to use man-to-man defense.

Find the values of x and y.

X=?
Y=?

Answers

Answer:

x=85

y=65

Step-by-step explanation:

Right angle equals 90

then 180-90-20=70

Opposite angle =70

so 70+25+x=180

x=180-70-25=85

when u know x ,then 180-85=95

y=360-90-110-95=65

According to a past survey, 23% of Americans have hypertension. After a stringent regimen of diet and exercise, 75 people were then tested and 18 were found to have hypertension. Based on this sample, does diet and exercise reduce hypertension? Use a significance level of 0.05.a) yesb) no

Answers

Answer:No, Diet and exercise does not reduce hypertension.

Step-by-step explanation:

Since we have given that

p = 0.23

n = 75

x = 18

So, \hat{p}=(x)/(n)=(18)/(75)=0.24

So, hypothesis would be

H_0:p=\hat{p}\n\nH_a:\hat{p}<p

So, the test statistic value would be

z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}\n\nz=\frac{0.24-0.23}{\sqrt{(0.23* 0.77)/(75)}}\n\nz=(0.01)/(0.049)\n\nz=0.204

At α = 0.05 level of significance, we get

critical value = 1.96

and 1.96>0.204.

so, we will accept the null hypothesis.

Hence, No, Diet and exercise does not reduce hypertension.

11. Number Sense Jamal saysthat the sum

of 183 + 198 is less than 300. Is

Jamal's

answer reasonable? Why or

why not

Both addends are

des to 200.

Answers

Answer:

Jamal's answer isn't reasonable because the sum of 183 and 198 is 381, which is way more than 300 and nowhere less than 300.

Step-by-step explanation:

Jamal makes an assertion that the sum of 183 and 198 is less than 300.

We are to check if Jamal's answer is reasonable or not.

183 + 198 = 381 > 300

The sum of the two numbers, 381, is evidently not less than 300, hence, Jamal's answer isn't reasonable because it is downright wrong.

Hope this Helps!!!

What is x in this problem? someone please help

Answers

X=21
This is because both of those angles are equal, so you would divide 42 by 2 and get 21