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gregori [183]
2 years ago
5

Which is a sum of cubes? a a³ + 18 b a +9 c a² + 16 d a¹2 +8

Mathematics
1 answer:
lapo4ka [179]2 years ago
7 0

Answer:

a³ + 18

Explanation:

The formula for cube volume is to cube the side meaning multiply the side by itself 3 times. Adding 18 could just be the other side, so this method would be the most correct.

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Round 5/8 to the nearest whole number ​
trasher [3.6K]
The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.
3 0
3 years ago
Does this table represent a function ?why or why not ?
Jlenok [28]
Yes c. that is the correct answer.
8 0
3 years ago
The Nellie Mae organization conducts an extensive annual study of credit card usage by college students. For their 2004 study, t
Masja [62]

Answer:

1. Null Hypothesis, H_0 : p_1-p_2=0  or  p_1=p_2  

  Alternate Hypothesis<u>,</u> H_A : p_1-p_2\neq 0  or  p_1\neq p_2

2. Test statistics = 4.63

    P-value = 0.00001

3. We conclude that the proportion of undergraduate students who held a credit card differed between these two years.

Step-by-step explanation:

We are given that the Nellie Mae organization conducts an extensive annual study of credit card usage by college students.

For their 2004 study, they analyzed credit bureau data for a random sample of 1,413 undergraduate students between the ages of 18 and 24. They found that 76% of the students sampled held a credit card. Three years earlier they had found that 83% of undergraduates sampled held a credit card.

<em>Let  </em>p_1<em> = population proportion of undergraduate students who held a credit card in year 2001</em>

<em />p_2<em> = population proportion of undergraduate students who held a credit card in year 2004</em>

1. <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1=p_2   {means that the proportion of undergraduate students who held a credit card does not differed between these two years}

<u>Alternate Hypothesis,</u> H_A : p_1-p_2\neq 0  or  p_1\neq p_2   {means that the proportion of undergraduate students who held a credit card differed between these two years}

The test statistics that will be used here is <u>Two-sample z proportion statistics</u>;

                        T.S.  = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of undergraduate students who held a credit card in 2001 = 83%

\hat p_2 = sample proportion of undergraduate students who held a credit card in 2004 = 76%

n_1 = sample of students surveyed in 2001 = 1,413

n_2 = sample of students surveyed in 2004 = 1,413

So, <em><u>test statistics</u></em>  =   \frac{(0.83-0.76)-(0)}{\sqrt{\frac{0.83(1-0.83)}{1,413} +\frac{0.76(1-0.76)}{1,413}} }  

                               =  4.63

2. <u><em>Hence, the value of test statistics is 4.63.</em></u>

Also, P-value is given by the following formula;

         P-value = P(Z > 4.63) = 1 - P(Z \leq 4.63)

                                             = 1 - 0.99999 = <u>0.00001</u>

<em />

3. <em>Since in the question we are not given the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics is does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the proportion of undergraduate students who held a credit card differed between these two years.

6 0
3 years ago
pls help me with this i’ve been stuck on it for a while but i did it on paper and it doesn’t look right
inn [45]

i will fill the boxes from top down

4(-2)-5=-13

4(1)-5=-1

4(2)-5=3

4(3)-5=7

5 0
3 years ago
Find the volume of the triangular prism
gulaghasi [49]

Answer:

V = 5280 in^3

Step-by-step explanation:

The volume is found by

V = Bh  where B is the area of the base and h is the height

first we need to find the area of the base

The base is the triangle

We need to find the base dimension for the triangle

34^2 = 16^2 + b^2

34^2 -16^2 = b^2

900 = b^2

30 =b

B = 1/2 bh

  = 1/2 (30) *16

B =240

V = Bh

V = 240 * 22

V = 5280 in^3

3 0
3 years ago
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