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stealth61 [152]
2 years ago
6

Please show work n help

Mathematics
1 answer:
DerKrebs [107]2 years ago
5 0
View graphs
- 2

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Prof. Shanks assigns 5 students to work on a project. The group is to have no more than 1 freshman. In how many ways can the gro
polet [3.4K]

Answer:

1302

Step-by-step explanation:

10C5 + (5C1×10C4) = 1302

8 0
3 years ago
This coordinate plane shows the journey of a plane between two cities. The journey starts from City A, indicated by a green poin
grandymaker [24]
<h3>Answer:  Choice C</h3>

Started in Quadrant II and ended in Quadrant IV.

==========================================================

Explanation:

Refer to the diagram below. It shows how the four quadrants are labeled using roman numerals. We start in the upper right corner (aka northeast corner) and work counterclockwise when labeling quadrant I, II, III, and IV in that order.

The green point A is located in quadrant II in the northwest. Meanwhile point B in red is in the southeast quadrant IV.

Therefore, we started in <u>quadrant II</u> and ended in <u>quadrant IV</u> which points us to <u>choice C.</u>

6 0
2 years ago
Find the area of a circle having a circumference of 231 pi units. Round to the nearest tenth.
loris [4]
Do you by any chance have a diagram of the circle or the r value?
7 0
2 years ago
Tain has a great literary tradition that spans centuries. One might assume, then, that Britons read more than citizens of other
tresset_1 [31]

Answer:

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

z=3.02  

p_v =P(Z>3.02)=0.00127  

The p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

Step-by-step explanation:

1) Data given and notation  

X_{1}=0.86*1004 represent the number of Canadians randomly sampled by Gallup that read at least one book in the past year

X_{2}=0.81*1009 represent the number of Britons randomly sampled that read at least one book in the past year

n_{1}=1004 sample of Gallup selected

n_{2}=1009 sample of Britons selected

p_{1}=0.86 represent the proportion of Canadians randomly sampled by Gallup that read at least one book in the past year

p_{2}=0.81 represent the proportion of Britons randomly sampled that read at least one book in the past year

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women  , the system of hypothesis would be:  

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{0.81+0.86}{2}=0.835

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.86-0.81}{\sqrt{0.835(1-0.835)(\frac{1}{1004}+\frac{1}{1009})}}=3.02  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>3.02)=0.00127  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

5 0
3 years ago
The ratio of a number and 4 times that number is equal to the ratio of 5 times the number and 95 more than a number
il63 [147K]

Answer:

  1/4 = (5n)/(n +95)

Step-by-step explanation:

If all the numbers referred to are the same number, we can use n to represent it. Then, "the ratio of a number and 4 times that number" is n/(4n) = 1/4. "The ratio of 5 times the number and 95 more than the number" is (5n)/(n+95)

The equation for the problem can be written ...

  1/4 = (5n)/(95+n)

___

If you're a purist, you might leave the factors of "a number" in the first raio and write it ...

  n/(4n) = (5n)/(95+n)

Solving this gets you to a quadratic form that has the extraneous solution n=0.

8 0
3 years ago
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