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Art [367]
3 years ago
13

The height of Gateway Arch shown on Missouri quarter is 630 feet or 7,560 inches.Find how many 4-inch stacks of quarters make up

the height of Gateway Arch.If there are 58 quarter in a 4-inch stack, how many quarters high is the arch?
Mathematics
1 answer:
dusya [7]3 years ago
5 0
To do this you want to divide 7560 by 4.  This leaves you with 1845.  Therefore, you need 1845 4-inch stacks to build that high.  You are not done though.  You need to multiply 1845 by 58. This gives you 107,010.  It would take 107,010 quarters to get to the top.
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Someone help please math homework
Sergeeva-Olga [200]
9. (x + 12)(x + 5)

10. (x + 4)(x + 10)

11. (x - 13)(x + 6)

12. (x + 11)(x - 7)

15. (x - 15)(x + 7)

16. (x - 7)(x + 7)

4 0
3 years ago
A crew is made of 9 women the rest are men 18% of the crew is women how many people are in the crew
sammy [17]

Answer:

162

Step-by-step explanation:

18% x 9

.18 x 9 = 1.62

Move the decimal over twice which equals 162

7 0
3 years ago
Because of safety considerations, the FAA changed its guidelines for how small commuter airlines must estimate passenger weights
Alchen [17]

Answer:

t=\frac{190-180}{\frac{23}{\sqrt{100}}}=4.348    

df=n-1=100-1=99  

p_v =2*P(t_{(99)}>4.348)=0.000033  

Since the p value obtained for this case is a very low value we have enough evidence to reject the null hypothesis that the true mean is equal to 180 at many of the possible significance levels commonly used.  So then makes sense the claim that the true mean for the weigth is different from 180

Step-by-step explanation:

Information provided

\bar X=190 represent the mean weight

s=23 represent the sample standard deviation for the weight

n=100 sample size  

\mu_o =180 represent the value to compare

t would represent the statistic

p_v represent the p value

System of hypothesis

We want to determine if the true mean weight is different from 180 pounds, the system of hypothesis would be:  

Null hypothesis:\mu = 180  

Alternative hypothesis:\mu \neq 180  

We don't know the population deviation for the variable of interest so then the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing the data given we got:

t=\frac{190-180}{\frac{23}{\sqrt{100}}}=4.348    

Now we can find the p value but first we need to find the degrees of freedom given by:

df=n-1=100-1=99  

Since we are conducting a two tailed test the p value can be calculated on this way:

p_v =2*P(t_{(99)}>4.348)=0.000033  

Since the p value obtained for this case is a very low value we have enough evidence to reject the null hypothesis that the true mean is equal to 180 at many of the possible significance levels commonly used.  So then makes sense the claim that the true mean for the weigth is different from 180

4 0
3 years ago
The midpoint of AB is M(-6, -6). If the coordinates of A are (-4-8), what are
icang [17]

Answer:

<em>The coordinates of B are (-8,-4)</em>

Step-by-step explanation:

<u>Midpoint of a segment</u>

Given points A(xa,ya) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:

\overline{AM}=\overline{MB}

Applying that relation in both axes separately, we can write:

x_A-x_M=x_M-x_B

y_A-y_M=y_M-y_B

Knowing the coordinates of the midpoint and A, we can find the coordinates of the other extreme B solving both equations for the required variable:

x_B=2x_M-x_A

y_B=2y_M-y_A

Plugging in the known values:

x_B=2(-6)-(-4)=-12+4=-8

y_B=2(-6)-(-8)=-12+8=-4

The coordinates of B are (-8,-4)

5 0
3 years ago
Usando las propiedades de la igualdad resuelve: 13r=117 y explica el procedimiento​
Bas_tet [7]

Answer:

r=9

Step-by-step explanation:

13r=117

r=117/13

r=9

8 0
3 years ago
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