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professor190 [17]
3 years ago
7

Which equation correctly shows the absoulte vaule of -8

Mathematics
2 answers:
olga2289 [7]3 years ago
6 0

Answer:

|-8|=8

Step-by-step explanation:

Nadusha1986 [10]3 years ago
3 0

Answer:

What are the equations? The answer would be 8.  Its A

Step-by-step explanation:

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A large Pizza has a diameter of 18 inches. If each large pizza is cut into 10 equal slices, what is the approximate area of 3 sl
Brums [2.3K]
--------------------------------------
Find Radius
--------------------------------------
Radius = Diameter ÷ 2
Radius = 18 ÷ 2
Radius = 9 inches

--------------------------------------
Area of the Pizza
--------------------------------------
Area = πr²
Area = π x (9)²
Area = 81π
Area = 254.47 in² (nearest hundredth)

--------------------------------------
find area of 1 slice of pizza
--------------------------------------
10 slices = 254.47 in²
1 slice = 254.47 ÷ 10
1 slice = 25.44 in² 

--------------------------------------
Find area of 3 slices of pizza
--------------------------------------
1 slice = 25.44 in²
3 slices = 25.44 x 3 
3 slices = 766.32 in²

--------------------------------------
Answer: 766.32 in²
--------------------------------------
3 0
3 years ago
The length of a rectangle is 2 m greater than the width. The area is 143m^2. Find the length and the width.
iogann1982 [59]

Answer:

L = 13  m     W = 11   m

Step-by-step explanation:

L = W + 2  

area =  L   x   W

143   = (W+2)   *  W

143 =  W^2 + 2w

W^2 + 2W - 143 = 0  

Use Quadratic Formula    (a = 1   b = 2   c = - 143)

   to find   W = 11 m      then   L = 13

8 0
2 years ago
Antoinette solves the linear equation 3(x-3)+2x+9 - 2x+ 2(x-1) using the steps shown below.
Oxana [17]

Step-by-step explanation:

3(x - 3) + 2x + 9 - 2x + 2(x - 1)

3x - 9 + 2x + 9 - 2x + 2x - 2

Solving like terms

5x - 2

5x = 2

x = 2/ 5

I think she incorrectly applied the multiplication and division properties of equality

4 0
3 years ago
Read 2 more answers
hilip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigare
murzikaleks [220]

Answer:

We conclude that the proportion of women who smoke cigarettes is smaller than or equal to the proportion of men at 0.01 significance level.

95% confidence interval for the difference in population proportions of women and men who smoke cigarettes is [0.0062 , 0.1298].

Step-by-step explanation:

We are given that random samples of 125 women and 140 men reveal that 13 women and 5 men smoke cigarettes.

<em>Let </em>p_1<em> = population proportion of women who smoke cigarettes</em>

<em />p_2<em> = population proportion of men who smoke cigarettes</em>

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the proportion of women who smoke cigarettes is smaller than or equal to the proportion of men}

Alternate Hypothesis, H_A : p_1> p_2      {means that the proportion of women who smoke cigarettes is higher than the proportion of men}

The test statistics that will be used here is <u>Two-sample z proportion test</u> <u>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 women who smoke cigarettes= \frac{13}{125} =0.104

\hat p_2 = sample proportion of men who smoke cigarettes = \frac{5}{140} = 0.036

n_1 = sample of women = 125

n_2 = sample of men = 140

So, <u><em>the test statistics</em></u>  =  \frac{(0.104-0.036)-(0)}{\sqrt{\frac{0.104(1-0.104)}{125}+ \frac{0.036(1-0.036)}{140}} }

                                     =  2.158

Now, at 0.01 significance level, the z table gives critical value of 2.3263 for right tailed test. Since our test statistics is less than the critical value of z as 2.158 < 2.3263, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the proportion of women who smoke cigarettes is smaller than or equal to the proportion of men.

<em>Now, coming to 95% confidence interval;</em>

Firstly, the pivotal quantity for 95% confidence interval for the difference between population proportions is given by;

                    P.Q. =  \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 women who smoke cigarettes= \frac{13}{125} =0.104

\hat p_2 = sample proportion of men who smoke cigarettes = \frac{5}{140} = 0.036

n_1 = sample of women = 125

n_2 = sample of men = 140

<em>Here for constructing 95% confidence interval we have used Two-sample z proportion statistics.</em>

<u>So, 95% confidence interval for the difference between population proportions, </u>(p_1-p_2)}<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                    of significance are -1.96 & 1.96}  

P(-1.96 < \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}} } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < {(\hat p_1-\hat p_2)-(p_1-p_2)} < 1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } ) = 0.95

P( (\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < (p_1-p_2)} < (\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } ) = 0.95

<u>95% confidence interval for</u> (p_1-p_2)} =

[(\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} },(\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }]

= [ (0.104-0.036)-1.96 \times {\sqrt{\frac{0.104(1-0.104)}{125}+ \frac{0.036(1-0.036)}{140}} } , (0.104-0.036)+1.96 \times {\sqrt{\frac{0.104(1-0.104)}{125}+ \frac{0.036(1-0.036)}{140}} } ]

 = [0.0062 , 0.1298]

Therefore, 95% confidence interval for the difference in population proportions of women and men who smoke cigarettes is [0.0062 , 0.1298].

7 0
3 years ago
How to sole this diamond problem
Vladimir79 [104]
The left should be 4ab and the right should be 4ab as well. You have to add the left and righ tside to get the top, and you multiply the left and the right to get the bottom. I believe that's the correct answer
4 0
3 years ago
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