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3 years ago

Evaluate [(51 + 3) - 3^2] : 9.2

Mathematics

1 answer:

Naily [24]3 years ago

3 0

Answer:

414 have a great day :)

Step-by-step explanation:

(54−32)(9.2)

=(54−9)(9.2)

=(45)(9.2)

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A randomly selected sample of college basketball players has the following heights in inches. See Attached Excel for Data. Compu

Illusion [34]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The confidence interval is $64.86$

Step-by-step explanation:

From the question we are given the following data

The following heights are

66, 65, 67, 62, 62, 65, 61, 70, 66, 66, 71, 63, 69, 65, 71, 66, 66, 69, 68, 62, 65, 67, 65, 71, 65, 70, 62, 62, 63, 64, 67, 67

The sample size is n =32

The confidence level is $k = 95$ % = 0.95

The mean is evaluated as

$\= x = 66+ 65+ 67+ 62+ 62+ 65+ 61+ 70+ 66+ 66+ 71+63+ 69+ 65+ 71+ 66+ 66+ 69+ 68+ 62+ 65+ 67,+\\65+ 71+ 65+ 70+ 62+ 62+ 63+ 64+ 67+ 67 / 32$

=> $\= x = \frac{2108}{32}$

=> $\= x = 65.875$

The standard deviation is evaluated as

$\sigma = \sqrt{ v}$

Now

$v = ( 66-65.875 )^2+(65-65.875)^2+( 67-65.875)^2+ (62-65.875)^2+ (62-65.875)^2+ (65-65.875)^2+( 61-65.875)^2+ (70-65.875)^2+ (66-65.875)^2+ (66-65.875)^2+ (71+63-65.875)^2+ (69-65.875)^2+ (65-65.875)^2+ (71-65.875)^2+( 66-65.875)^2+ (66-65.875)^2+ (69-65.875)^2+ (68-65.875)^2+ (62-65.875)^2+ (65-65.875)^2+ (67-65.875)^2,+\\(65-65.875)^2+ (71-65.875)^2+ (65-65.875)^2+ (70-65.875)^2+( 62-65.875)^2+( 62-65.875)^2+ (63-65.875)^2+ (64-65.875)^2+ (67-65.875)^2+ (67-65.875)^2 / 32$

=> $v= 8.567329$

=> $\sigma = \sqrt{8.567329}$

=> $\sigma = 2.927$

The level of significance is evaluated as

$\alpha = 1 - 0.95$

$\alpha = 0.05$

The degree of freedom is evaluated as

$Df = n- 1 \equiv Df = 32 -1 = 31$

The critical values for the level of significance is obtained from the z -table as

$t_c = t_{\alpha/2 } , Df = t _{0.05/2}, 31 =\pm 1.96$

The confidence interval is evaluated as

$\mu = \= x \pm t_c * \frac{\sigma }{\sqrt{n} }$

substituting values

$\mu =65.875 \pm 1.96* \frac{2.927}{\sqrt{32} }$

$\mu =65.875 \pm 1.01415$

=> $64.86$

4 0

3 years ago

3(4x^2y^3 + 2x^3) – 4(9x^3y^2 – 6x^2y^3)<br> How to solve pls?

babunello [35]

Answer:

$3(4 {x}^{2} {y}^{3} + 2 {x}^{3}) - 4(9 {x}^{3} {y}^{2} - 6 {x}^{2} {y}^{3} ) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) - (36{x}^{3} {y}^{2} - 24{x}^{2} {y}^{3}) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) + ( - 36{x}^{3} {y}^{2} + 24{x}^{2} {y}^{3}) \\ = - 36{x}^{3} {y}^{2} + 36x^{2} {y}^{3} + 6 {x}^{3}$

I hope I helped you^_^

4 0

3 years ago

Find the hypotenuse for a right triangle with legs 8 and 12. Write your answers in simplest exact form

konstantin123 [22]

Answer:4√(13)

Step-by-step explanation:

Adjacent=12

Opposite=8

Hypotenuse=√((adjacent)^2+(opposite)^2)

hypotenuse=√(12^2+8^2)

Hypotenuse=√(12x12+8x8)

Hypotenuse=√(144+64)

Hypotenuse=√(208)

Hypotenuse=√(16x13)

hypotenuse=√(16) x √(13)

Hypotenuse=4 x √(13)

Hypotenuse=4√(13)

7 0

3 years ago

Read 2 more answers

Four friends bought a movie and some snacks for 17.68. They want to divide the cost evenly

jolli1 [7]

Answer:

The cost among all four friends would be $4.42

Step-by-step explanation:

Step 1: Isolate $17.68 by itself

Step 2: Divide the $17.68 by 4

Check answer by multiplying $4.42 by 4 to get $17.68

8 0

4 years ago

I feel like a complete idiot for not know this. help..please.

Serjik [45]

Answer:

B. x+60+90=180

Step-by-step explanation:

You selected the right choice yay!!

A line will always equal 180 and we are given three things that must equal 180. Also, what is on the top is the same as the bottom so x applies.

x+60+90=180

6 0

3 years ago