Suppose a normal distribution has a mean of 222 and a standard deviation of
16. What is the probability that a data value is between 206 and 230? Round
your answer to the nearest tenth of a percent.
A. 91.0%
B. 66.9%
C. 53.3%
D. 84.0%

Answer:

cool

Step-by-step explanation:

Answer:

tells i think

Step-by-step explanation:

it would be tattling not telling..righttttt?????

Answer:

C is the answer

Step-by-step explanation:

10x=180-140

so,x=40÷10=4answer

Answer:

$544.73

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]

Step-by-step explanation:

Step 1: Define

A = 960

r = 0.12

t = 5

Step 2: Solve for P

Answer:

hello your question is incomplete attached below is the complete question

answer :

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

attached below is a detailed solution

Answer:

1. 8.4 in 2. 33.6  

Step-by-step explanation:

Answer:

63 degrees and 27 degrees

Step-by-step explanation:

Complementary angles are when two angles add to 90 degrees.

So, we can check if these pairs add up to 90 degrees.

45 + 95 = 140

38 + 42 = 80

30 + 51 = 81

63 + 27 = 90

The only pair of angles that are complementary is 63 degrees and 27 degrees.

Given system of linear equations are ,

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

Answer:

x²+4

Step-by-step explanation:

Answer:

Whats the math?

Step-by-step explanation:

sir/miss please add something to answer or this can be reported so remake this add something then we will answer

Answer:

Step-by-step explanation:

-5 + (8 x -7)

using PEMDAS, (8 x -7) = -56

so -5 + -56 = -61

Answer:

0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.

Step-by-step explanation:

Answer:

11. 16

12. -19

13. -9

14. -5

15. -13

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2x+3=3x-6

3+6=3x-2x

9=x

Answer:

x=  9

Step-by-step explanation:

hello :

2x +3 = 3x -6

2x-3x=-6-3

-x= -9

so : x=  9

Answer:

12/100 = x/350

4200 = 100x

4200/100 = 100x/100

42 = x

350 - 42 = 308

the sale price is $308

the discount is $42

Answer:

3: 10

Step-by-step explanation:

saved: earned

96: 320

simplify by dividing both sides by the same thing just like a fraction:

96: 320

24: 80

6: 20

3: 10

Answer:

B

Step-by-step explanation:

:-)

Answer:

B

Step-by-step explanation:

This problem is to compare the value of the two numbers. Obviously, 0.21>0.012

Answer:

(1,2)

Step-by-step explanation:

Answer:

There are infinite solutions because they are the same equation

2D + 1G = 12

and

4D + 2G = 24 (divide by 2) 2D + G = 12

2D + 1G = 12 is the same as 2D + 1G = 12

Step-by-step explanation:

it has 4 sides, all of whick are equal. Answer is 4*4, 16.

Answer:

sin5A+sin3A=cos2A-cos6A

2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)

[tex] \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1[/tex]

[tex] - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1[/tex]

-1/2sinA=1

-1/2=sinA

sinA=sin(180+30),sin(330)

:.A=210,330

Answer:

The answer is below

Step-by-step explanation:

The car is moving in a circular track with a radius of 1.9 miles. The distance covered by the car if the track is revolved once = 2π * radius of the track.

a) Since the car has swept out an angle of 212 degrees, the distance covered by the race car = [tex]\frac{212}{360}*2\pi(1.9)=7.03 \ miles[/tex]

b) If the car traveled 4.9 miles, the angle swept out (θ) is:

[tex]4.9= \frac{\theta}{360} * 2\pi r\\\\\theta=\frac{4.9}{2\pi (1.9)}*360 \\\\\theta=147.76^o=147.76^o*\frac{\pi}{180} \\\\\theta=2.58\ rad[/tex]

c) h = distance covered, t = time in hourss.

Hence:

h = 85.5t

The race-car's motion round the track is a repeating motion that can be

described by a sinusoidal function.

The correct responses are;

Reasons:

Known parameters are;

Radius of the track, r = 1.9 miles

Point the car starts = 3 O'clock

Speed of the car = 85.5 mph

Required:

Distance swept out when the car traveled an angle of 212°.

Solution;

Distance of one complete turn = 2·π·r

Angle of one complete turn = 360°

Therefore, at 212°, we have;

[tex]\dfrac{212^{\circ}}{360^{\circ}} \times 2 \times 1.9 \times \pi \approx 7.03[/tex]

Required:

The measure of the angle swept out by the car if the car has travelled 4.9 miles.

Solution;

Let, θ represent the angle, we have;

[tex]\dfrac{\theta}{2 \cdot \pi} \times 2 \times 1.9 \times \pi \approx 4.9 \ miles[/tex]

We get;

[tex]{\theta} = \dfrac{4.9 \ miles}{2 \times 1.9 \ miles \times \pi } \times 2\cdot \pi \approx 2.58 \ radians[/tex]

Required:

The function, h, that gives the distance of the above the horizontal

diameter of the track (in miles) in terms of the number of hours since the

race-car started driving, t.

Solution;

The function that gives the car height can be presented as follows;

The angular velocity, ω = [tex]\dfrac{v}{r}[/tex]

Therefore;

[tex]\omega = \dfrac{85.5 \ mph}{1.9 \ miles} = 45 \ rad/hour[/tex]

The general form of the sinusoidal function is h = A·sin[k·(θ - b)] + c

Therefore, we get;

h = 1.9·sin[k·(θ - b)] + c

The period, T = 2·π/ω = 2·π/k

Therefore, given that ω·t = θ, we get;

h = 1.9·sin[ω·t - b] + c = 1.9·sin[45·t - b] + c

The vertical sift, c, and the horizontal shift, b, can both be taken as zero,

given that the sin(0) = 0, therefore;

h = 1.9·sin[0] + c = c = 0, such that the at the start, t = 0, the car is at a

distance of h = 0 above the horizontal line.

The function, h, that gives the distance of the car above the

horizontal track, in terms of the number of hours since the car started

driving, t, is therefore;

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Answer: The answer for the blank is domain.

Step-by-step explanation: Domain is the input of a function, and range is the output.

Answer:

45

Step-by-step explanation:

3+1.5+3+1.5=9

9*500=4500

4500/100=45

Answer:

what do you mean

Step-by-step explanation:

Answer:

x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 = 9x+18

so there are 9 twos or 18 and 9x. No value is provided for x so the answer is 18+9x.

Step-by-step explanation:

Answer:

uhhm

Step-by-step explanation:

....

The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x

Polynomial functions are functions that have a leading variable of 3 and above.

Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:

(x+4)), x-0, x-1 and x - 4

To get the polynomial function required, we will take the product of the factors as shown:

= x(x-1)(x+4)(x-4)

= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)

f(x)= x⁴-16x²-x³+16x

Rearranging

f(x) = x⁴- x³ - 16x²+16x

Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.

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Answer:

Que? No se.

Step-by-step explanation:

Answer:

805

Step-by-step explanation:

Answer:

a. We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. The length would increase.

c. The interval would be narrower.

d. The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(higher the confidence level, higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

This shows that if we increase the confidence level, the margin of error gets larger and the interval gets wider, while if we increase the sample size the margin of error gets smaller and the interval gets narrower.

a. Interpret the confidence level.

We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.

We would increase the confidence level, and the interval would get wider, that is, the length would increase.

c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?

Larger sample size means that the interval would be narrower.

d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.

The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Based on the information given in the sample, it should be noted that this implies that we are 90% sure that the mean GPA for all students at the school is between 3.14 and 3.52.

Lastly, a potential source of bias in Ellery's study that is not accounted for by the margin of error is making the students state their grades aloud. This will make some of them with lower grades lie.

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