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egoroff_w [7]
2 years ago
15

Maria and victor each play a video game. The ratio of the number of points Maria scores to the number of points victor scores is

5 to 3. Maria scores 424 more points than Victor scores. How many points did Maria score? Construct a tape diagram to answer the problem.

Mathematics
1 answer:
zvonat [6]2 years ago
7 0

Answer:

Step-by-step explanation:

I don't know what a tape diagram is but I can give you the equation and the answer.

Let Victor have x points

Let Maria have y points

y = x + 424

y/x = 5/3                     Cross multiply

3y = 5x                       Divide by 3

y = 5x/3                      I Could have just multiplied by x

y = x + 424

5x/3 = x + 424           Multiply both sides by 3

5x = 3x + 1272           Subtract 3x from both sides.

5x-3x = 1272              Combine the left.

2x = 1272                    Divide by 2

2x/2 = 1272/2

x = 636

Victor Scored 636 points

Maria Scored 636 + 424 = 1060

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Answer:

0.22 -1 *0.029 =0.191

0.22 +1 *0.029 =0.249

And the best option would be:

D. (0.191 to 0.249)

Step-by-step explanation:

For this case we know that the mean is:

\bar X = 0.22

And the standard error is given by:

SE = 0.029

We want to construct a 68% confidence interval so then the significance level would be :

\alpha=1-0.68 = 0.32 and \alpha/2 =0.16. The confidence interval is given by:

\bar X \pm z_{\alpha/2} SE

Now we can find the critical value using the normal standard distribution and we got looking for a quantile who accumulate 0.16 of the area on each tail and we got:

z_{\alpha/2}= 1

And replacing we got:

0.22 -1 *0.029 =0.191

0.22 +1 *0.029 =0.249

And the best option would be:

D. (0.191 to 0.249)

5 0
2 years ago
11 ÷ 924 in long division
Goryan [66]

Answer:

231  your welcome

Step-by-step explanation:

4 0
3 years ago
What is the solution to -2(3x - 9) + 5x = -10?
sweet-ann [11.9K]
-2(3x - 9) + 5x = -10
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6 0
3 years ago
A cyclinder has a volume of 703 cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply.
Romashka-Z-Leto [24]
<h2>Answer:</h2><h2>Option (i), (iv) and (v) are correct</h2>

Step-by-step explanation:

Cylinder volume = 703 cm^{3}, height = 18.5 cm

(i) Volume or area of the cylinder = \pi r^{2} h

The formula for the volume of a cyclinder can be applied to find the area of the base.

Option (i) is correct

(ii) Volume or area of the cylinder = \pi r^{2} h

The volume should be divivded by height to get the area

Option (ii) is wrong

(iv) Area of the base  = \frac{703\pi }{18} = 38\pi cm^{2}

Option (iv) is correct

(iii) The radius of the cyclinder is half the height.

\frac{38}{2} = 19 cm not 18.5 cm

Option (iii) is wrong

(v)Area of the base  = \frac{703\pi }{18} = 38\pi cm^{2}

Option (v) is correct

6 0
2 years ago
Read 2 more answers
This uses pythagorean theorem
Klio2033 [76]

Step-by-step explanation:

x²=a²+b²

x=√6²+12²

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7 0
2 years ago
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