The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.

Required:
What are the null and alternative hypotheses?

Answer:

length = 8; width = 3

perimeter = 22

area = 24

Step-by-step explanation:

L(- 1,3), M(2,3)

LM = |-1 - 2| = 3

M(2,3), N(2, - 5)

MN = |-5 - 3| = 8

length = 8; width = 3

perimeter = 2(L + W) = 2(8 + 3) = 22

area = LW = 8 × 3 = 24

Answer:

523.33 cm³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {5}^{3} [/tex]

[tex] = \frac{1570}{3} [/tex]

[tex] = 523.3333333...[/tex]

= 523.33 cm³ (rounded to the nearest hundredth)

Answer:

70 yd²

Step-by-step explanation:

Area of triangle = (1/2)(base)(perpendicular height)

= (1/2)(20)(7)

= 70 yd²

Answer:

49

Step-by-step explanation:

$12.19

before the tax price is $11.50

and %6 is equal to $0.69

therefore if you add those together you'll get an answer of $12.19

Answer:

B: (-6, -1)

Step-by-step explanation:

6+x/2 = 0

6+x = 0

x = -6

-5+y/2 = -3

-5 + y = -6

y = -1

Answer:

(-6,-1)

Step-by-step explanation:

We can use the midpoint formula here to find the coordinates of B . Given data :-

Let B be B(p , q) . Then ,

=> M = ( x₁ + x₂/2 , y₁ + y ₂ /2 )

=> (0 ,-3) = ( 6 + p/2 , -5+q/2)

=> 0 = 6 + p/2

=> 6 + p = 0

=> p = (-6)

=> -3 = -5+q/2

=> -5+q = -6

=> q = 5-6

=> q = (-1)

Answer: 3n - 12

Product means multiplication. So the 3 and n are being multiplied. If 12 is less than, then that means it is being subtracted from 3n, not the other way around.

Answer:

17.1

Step-by-step explanation:

h=A/b

h= 316.35/18.5

h=17.1

Answer:

a

Step-by-satep explanation:

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

Answer: 27

Step-by-step explanation:

Answer:

The wright answer is A

Step-by-step explanation:

[tex] \sqrt{20} = 4.47 \\ \frac{14}{3} = 4.67 \\ 4.47 < 4.5 < 4.67[/tex]

Answer:

The mean score is of 617.4.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose that the scores on the questionnaire are normally distributed with a standard deviation of 80.

This means that [tex]\sigma = 80[/tex]

Suppose also that exactly 15% of the scores exceed 700.

This means that when X = 700, Z has a pvalue of 0.85. So X when X = 700, Z = 1.033. We use this to find [tex]\mu[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.033 = \frac{700 - \mu}{80}[/tex]

[tex]700 - \mu = 80*1.033[/tex]

[tex]\mu = 700 - 80*1.033[/tex]

[tex]\mu = 617.4[/tex]

The mean score is of 617.4.

Answer:

Part a:

Since the calculated z= 8.1649 falls in the critical region  z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.

Part b:

P (Type II Error)=  0.6628

Step-by-step explanation:

The null and alternate hypothesis are

H0: μ1 ≥ μ2   against the claim Ha: μ1 < μ2

This is left tailed test

The critical region for this test at 0.10 ∝ is z < ± 1.28

The test statistic

z= x1-x2/ s/√n

z= 66-61/ 3/√24

z= 5/0.61238

z= 8.16486

Since the calculated z= 8.1649 falls in the critical region  z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.

Part b:

P (Type II Error)  = P ( accept H0/ H0 is false)

z ( ∝)= X-u/s/√n

1.28= X-61/0.61238

X= 61.7838

So I will incorrectly fail to reject the null as long as a draw a sample mean that greater than 61.7838

 The probability of a Type II error is given by

P (z> 61.7838-66/24)

P (z>- 0.42161)

From the tables

P (z>- 0.42161)=  0.6628

Answer:

The computation is shown below;

As we know that

The simple interest is

Simple interest = Principal × rate × time

For Account A, the principal would be

2 = Principal × 3.2% × 3

So, the principal is $20.83

For account B, the principal would be

38.50 = Principal × 2.2% × 30

So, the principal is $58.33

Now the interest for both the accounts are as follows

For account 1

= $20.83 × 3.2%

= $0.67

And, for the account 2

= $58.33 × 2.2%

= $1.28

As it can be seen that the account 2 has the highest interest

The same is to be considered

Step-by-step explanation:

Answer:

the area is 72

Step-by-step explanation:

Answer:

2π ft²

Step-by-step explanation:

Circle Area:

A = πr²

A = π × (4 ft)²

A = 16π ft²

Sector Area:

A = (45°)/(360°) × 16π ft²

A = 2π ft²

Answer:

[tex]y\leq 3x-2[/tex]

Step-by-step explanation:

Answer:

probably g

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

Last Choice

Step-by-step explanation:

No time to explain I am 100 % sure its correct i had same problem

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer:

Option B and D are correct

Step-by-step explanation:

Exponential functions are really useful in the real world situation. They can be used to solve following

a) Population Models

b) Determination of area and perimeters

c) Determine time related things such as half life, time of happening of an event etc.

d) Useful for solving financial problems such as computing investments etc.

Hence, option B and D

Answer:

Based on expert opinion the regression does not suffer from omitted variable bias

Step-by-step explanation:

Based on expert opinion the regression does not suffer from omitted variable bias because its indicators taking values of 1 and 0 where 1 would represent taking action by the legal system  and 0 would represent not taking action by the legal system. as

The researcher plans to regress national income per capita based on the effect of the legal system

applying the formula for addressing omitted variable bias ( attached below )

Answer: V= 65.3 ft^3

Answer:

B C E are the three crt options

Step-by-step explanation:

An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is: Expression = (Number, Math Operator, Number)

Answer:

A and C are equations

Step-by-step explanation:

B and E are inequalities

D is an expression

Answer:

±6

Step-by-step explanation:

Given the mathematical expression;

√36 < √42 < √49

But, √36 = 6 * 6 = 6²

√49 = 7 * 7 = 7²

Simplifying further, we would substitute the new values respectively;

±[6] < √42 < ±[7]

Therefore, evaluating √36 is equal to ±6.