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Masteriza [31]
3 years ago
12

the sum of two numbers is 158.if we add 25 to each one of them,then the first becomes the triple of the other.what are these num

bers​
Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

Step-by-step explanation:

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The sixth-graders at Ruben's school got to choose between a field trip to a museum and a field trip to a factory. 30 sixth-grade
earnstyle [38]
60 percent!

I hope this helped!
3 0
3 years ago
5/8 0.67 1.2 3/5 Greatest to least
SSSSS [86.1K]
1.2
0.67
5/8
3.5

I think this is what it would be.
4 0
3 years ago
1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,
gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988

The combined proportion is:

\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989

(a)

The hypothesis is:

<em>H</em>₀: The rate of those who finish the marathon is the same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.

<em>Hₐ</em>: The rate of those who finish the marathon is not same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.

Compute the test statistic as follows:

Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}

   =\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78

Compute the <em>p</em>-value as follows:

p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075

The <em>p</em>-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of <em>z</em> for 99% confidence level is 2.58.

CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}

     =(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0
3 years ago
7. The cost of renting the party room for 10 people is $117.50. The cost of renting the room is $151.25 for 15 people. Write an
Viktor [21]

Answer:

C = 6.75n + 50

Step-by-step explanation:

The equation for the cost of renting the party room can be written in the form;

C= mn+k ......i

Where C = cost

n = number of people

Substituting the 2 cases into the equation we have,

Case 1

117.5 = 10m + k ......1

Case 2

151.25 = 15m + k .....2

Subtracting eqn 1 from 2 we have

151.25 - 117.50 = 15m - 10m

5m = 33.75

m = 33.75/5 = 6.75

Substituting m = 6.75 into eqn 1, we have

117.50 = 10(6.75) + k

k = 117.5 - 67.50

k = 50

Therefore, rewriting the eqn i, we have

C = 6.75n + 50

5 0
3 years ago
Mrs. Hernanadez is covering the top of a kitchen shelf that is26 3/8 inches long and 15 1/2 inches wide. She incorrectly measure
miss Akunina [59]

Answer:

The  calculation of Mrs. Hernanadez will affect by 1.375 inches lesser.

Step-by-step explanation:

Given:

Length of the Kitchen shelf = 26 3/8 inches

Width of the Kitchen Shelf =  15 1/2 inches

Incorrect measurement of the length of the kitchen shelf = 25 inches

Solution:

The Actual length of the kitchen shelf is 26\frac{3}{8}

But she measured as 25 inches

So the error in the measurement will be

=>Correct length of the shelf - Incorrect length of the shelf

=> 26\frac{3}{8} - 25

Coverting the mixed fraction to fraction,

=> \frac{211}{8} - 25

=> 26.375 - 25

=>1.375

5 0
3 years ago
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