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4 years ago

Find the value of x_____________________________________________

Mathematics

1 answer:

Blababa [14]4 years ago

8 0

Answer:

The answer to your question is x = 16

Step-by-step explanation:

Use proportions to solve this problem

Process

1.- We know that the sides have the same measure, so we compare the small triangle with the big triangle

(x + 3) / 38 = y/ 2y

y means the length of the side with two lines.

2.- Simplification

(x + 3) / 38 = 1/2

3.- Solve for x

x + 3 = 38/2

x + 3 = 19

x = 19 - 3

4.- Result

x = 16

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The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

7 0

3 years ago

Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.

Simora [160]

3^2+3^2=c^2 18=c^2 c=3sqrt2 Or 4.24 if you need a decimal answer

5 0

3 years ago

Solve and graph the solution set<br> 4x + 5+x> 2 + 2x-3

qaws [65]

Answer:

I think it's true...

Step-by-step explanation:

3x>-6

8 0

3 years ago

Please help me to solve this . Thank you so much .

worty [1.4K]

Answer:

a) N

b) L

c) area I

d) area II

e) area VI

Step-by-step explanation:

a) the points that are 2cm from R are Q, N, M, S. Then, points that are 4cm from P are K, N, R. So, the only one point that works for both is N.

b) the points that are >2cm from R are P, K, L, T. We do not count those are exactly 2cm from R. Then, points that are 4cm from T are R, M, L. Ans is L.

c) <4cm from P, are area I and II. Then area that are >2cm from R are I, VI, and V. So, the only area that works for both is I.

d) <2cm from R, are areas II, III, and IV. Then, <4cm from P, are areas I and II. So, the only one works for both is area II.

e) >4cm from T, are areas I, II, III, VI. Then, >4cm from P, are III, IV, V, VI. Finally, >2cm from R, are areas I, VI, V. The only one that works for all three conditions is area VI.

5 0

4 years ago

Suppose 10 is a factor of a × b and 8 is a factor of b × c, where a, b, and c are integers. What is the largest number that must

emmainna [20.7K]

Hope this helps. Not positive if it’s correct, however.

8 0

3 years ago