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zaharov [31]
3 years ago
8

Using traditional methods, it takes 11.5 hours to receive a basic driving license. A new license training method using Computer

Aided Instruction (CAI) has been proposed. A researcher used the technique with 22 students and observed that they had a mean of 11.7 hours with a standard deviation of 1.4. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer: 0.670

Step-by-step explanation:

Given that :

Population mean (μ) = 11.5

Sample size, n = 22

Sample mean, x = 11.7

Standard deviation, s = 1.4

The test statistic ;

Tstat = (x - μ) / (s/√n)

Tstat = (11.7 - 11.5) / (1.4/sqrt(22))

Tstat = 0.2 / 0.2984810

Tstat = 0.6700594

Tstat = 0.670 (3 decimal places )

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Sa = 2(pi)(r)(h) + 2(pi)(r^2) v = (pi)(r^2)(h) find the surface area and the volume.
LenKa [72]

If Sa=2πrh+2πr^{2}v=πr^{2}h then the surface area is πr^{2} h and volume is

(rh-2h)/2r.

Given Sa=2πrh+2πr^{2} v=πr^{2}h.

We have to find surface area and volume from the given expression.

Volume is basically amount of substance a container can hold in its capacity.

First we will find the value of v from the expression. Because they are in equal to each other, we can easily find the value of v.

2πrh+2πr^{2}v=πr^{2}h

Keeping the term containing v at left side and take all other to right side.

2πr^{2}v=πr^{2}h-2πrh

v=(πr^{2}h-2πrh)/2πr^{2}

v=πr^{2} h/2πr^{2}-2πrh/2πr^{2}

v=h/2-h/r

v=h(r-2)/2r

Put the value of v in Sa=2πrh+2πr^{2} v

Sa=2πrh+2πr^{2}*h(r-2)/2r

=2πrh+2πrh(r-2)/2

=2πrh+πrh(r-2)

=2πrh+πr^{2}h-2πrh

=πr^{2}h

Hence surface area is πr^{2}h and volume is h(r-2)/2.

Learn more about surface area at brainly.com/question/16519513

#SPJ4

6 0
2 years ago
3 to the power of 5 and (3) to the power of 5
Svetlanka [38]

Answer:

243

Step-by-step explanation:

3x3=9

9x3=27

27x3=81

81x3=243

6 0
3 years ago
What's the answer to: 2/3x -4=-2
olga2289 [7]
<span>2/3x -4=-2
-------------------
Add 4 to each side
</span><span>2/3x-4+4</span>=-<span>2+<span>4
2/3x = 2
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Multiply each side by 3/2
(3/2) * (2/3x) = (3/2) * (2)
x = 3</span></span>
8 0
3 years ago
A piece of sheet metal is 24 inches wide the cross section is 54 what is the depth
Leni [432]

Answer:

Width = 18, height = 3

Or

Width = 6, height = 9

Step-by-step explanation:

Complete question

( A piece of sheet metal 24 inches wide is bent to form a gutter as shown in the picture below, if the cross sectional area is 54 square inches, find the depth of the gutter).

X = width, Y = height

X - 2y = 24........ equation i

X = 24 - 2y.......... equation ii

Area = xy

54 = xy........ equation iii

Put equation ii into equation iii

54 = (24 - 2y) * y

54 = 24y - 2y²

2y² - 24y + 54 = 0........ equation iv

Solving equation iv using quadratic methods,

Factors = (y-3), (y-9)

(Y-3)(y-9) = 0

y = 3 or y = 9

Substitute y = 3 or y = 9 into equation ii

X = 24 -2(3) = 18 or x = 24 - 2(9) = 6

If Width = 18, height = 3

Or

Width = 6, height = 9

3 0
3 years ago
Prime factorization of 90
zheka24 [161]
Basically find the prime numbers that multiply to make that number or the base parts so

90=2 times 45
45=3 times 15
15=3 times 5
prime factor=2 times 3 times 3 times 5
6 0
2 years ago
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