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Anestetic [448]
3 years ago
14

Can someone help thanks

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0
The equation for the volume of a pyramid is (l*w*h)/3
 
 since the problem gave you the base area, that would be the l *w

so now you would need to multiply the base area by the height, then divide by 3

16 * 15 = 240

240/ = 80 cubic centimeters

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"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r
sergiy2304 [10]

Answer:

(a) Null Hypothesis, H_0 : p_1-p_2=0  or  p_1= p_2  

    Alternate Hypothesis, H_A : p_1-p_2\neq 0  or  p_1\neq p_2

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

<em />

<em>Let </em>p_1<em> = proportion of drivers that were in compliance initially</em>

p_2<em> = proportion of drivers that were in compliance one year later</em>

(a) <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1= p_2      {means that there is not any statistical difference in these two proportions measured initially and then one year later}

<u>Alternate Hypothesis</u>, H_A : p_1-p_2\neq 0  or  p_1\neq p_2     {means that there is a statistical difference in these two proportions measured initially and then one year later}

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 drivers in compliance initially = 98.9%

\hat p_2 = sample proportion of drivers in compliance one year later = 96.9%

n_1 = sample of drivers initially = 1,250

n_2 = sample of drivers one year later = 1,100

(b) So, <u><em>the test statistics</em></u>  =  \frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }  

                                           =  3.33

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 3.33) = 1 - P(Z \leq 3.33)

                                            = 1 - 0.99957 = <u>0.00043</u>

Since in the question we are not given with 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.

<em>Since our test statistics does not lies 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 due to which </em><u><em>we reject our null hypothesis.</em></u>

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0
3 years ago
Y=x+12 please answer quickly and plus i need 20 characters<br>​
snow_tiger [21]

Answer:

I do not fully know your question, but your slope is m=1, your y-intercept is 12, and your x-intercept would be (-12,0). I hope this helps. Try to reconstruct your question next time.

5 0
3 years ago
Help me please [giving brainliest to best answer with step by step]
ollegr [7]

Hi there!

\large\boxed{3\text{ }  \frac{3}{4} cm^3}

Knowing that one cube has side-lengths of 1/2, we can calculate the dimensions for the prism:

Length: 1/2 × 5 = 2.5 cm

Height: 1/2 × 3 = 1.5 cm

Width: 1/2 × 2 = 1 cm

Use this formula to solve for the volume:

V = l × w × h

Thus:

V = 2.5 × 1.5 × 1 = 3.75 cm³

Convert to fraction:

75/100 = 3/4

Thus, the volume in mixed-numbers is 3 3/4 cm³.

7 0
3 years ago
Fifteen more than a number is written as...?
frozen [14]

Answer:

x + 15

Step-by-step explanation:

Since I don't know what this number is, I'm going to use the variable x to substitute for the value of the unknown number.

So it would just be x + 15 because addition is the operation of adding and the key words are usually more. Since one of the numbers is unknown, we can't get an answer like "100" because x is undefined.

Say x=100, then the number would be written as 115 in it's simplest form but you could also write it as 100+15. So I'm just using substitution.

3 0
3 years ago
Read 2 more answers
Please help. I don't understand anything.
alina1380 [7]

Answer:

A

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

7 0
2 years ago
Read 2 more answers
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