33. SAT test scores are normally distributed with a mean of 500 and standard deviation of 100. Find the probability that a randomly chosen test-taker will score below 450. (Round your answer to four decimal place). 35. Using the information in question 33, what is the probability that a random chosen test- taker will score above 600? (Round your answer to four decimal place). For questions 33-35, first find the corresponding z-values by hand, then you may use your calculator or a z-table to find your results. Clearly state the method you used and how you calculated your results if you used a calculator.

Answers

Answer 1

The probability that a randomly chosen test-taker will score below 450 on the SAT is approximately 0.1587, and the probability of scoring above 600 is approximately 0.0228.

To find the probability that a randomly chosen test-taker will score below 450 on the SAT, we need to calculate the corresponding z-value and use a z-table or calculator to find the probability.

Step 1: Calculate the z-value using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation. In this case, x = 450, μ = 500, and σ = 100.

z = (450 - 500) / 100

z = -0.5

Step 2: Use a z-table or calculator to find the cumulative probability associated with the z-value. The cumulative probability represents the area under the standard normal distribution curve up to the given z-value. In this case, we want the area to the left of z = -0.5.

Using a z-table or calculator, the cumulative probability for z = -0.5 is approximately 0.3085.

Step 3: Subtract the cumulative probability from 0.5 to find the probability below 450. Since the standard normal distribution is symmetric, the probability below the z-value is equal to 0.5 minus the cumulative probability.

Probability below 450 = 0.5 - 0.3085

Probability below 450 ≈ 0.1915

Therefore, the probability that a randomly chosen test-taker will score below 450 on the SAT is approximately 0.1915, rounded to four decimal places.

For the second question, we need to find the probability that a randomly chosen test-taker will score above 600 on the SAT.

Step 1: Calculate the z-value using the formula z = (x - μ) / σ. In this case, x = 600, μ = 500, and σ = 100.

z = (600 - 500) / 100

z = 1

Step 2: Use a z-table or calculator to find the cumulative probability associated with the z-value. We want the area to the left of z = 1.

Using a z-table or calculator, the cumulative probability for z = 1 is approximately 0.8413.

Step 3: Subtract the cumulative probability from 1 to find the probability above 600. Since the standard normal distribution is symmetric, the probability above the z-value is equal to 1 minus the cumulative probability.

Probability above 600 = 1 - 0.8413

Probability above 600 ≈ 0.1587

Therefore, the probability that a randomly chosen test-taker will score above 600 on the SAT is approximately 0.1587, rounded to four decimal places.

Learn more about probability here:

https://brainly.com/question/32117953

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Related Questions

Write a Haiku about science please! Have a great day :)

Answers

Answer:

in Earth, space, the trees

science is all around us

answer life's questions

Step-by-step explanation:

Haikus must be written with 5 syllables in the first line, 7 in the second, and 5 again in the 3rd, so they are naturally limited and simplistic. Hope this helps, and brainliest is always appreciated! Enjoy your day bro!

Type the correct answer in the box. Round your answer to the nearest tenth.
B
R=?
F = 38 N
501
F = 40 N
Two forces. 5 and 5 are acting on a body, as shown in the figure. The resultant force, RIS
newtons
Please answer

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35 N
Hope this works!

sole this question ?
30÷5+(9×5)-3²=

Answers

Answer:

30÷5+(45)-96+45-942I do exams and quizzes if ur interested

Answer:

42

Step-by-step explanation:

30/5 + ( 9)(5)−32

= 6 + ( 9)(5)−32

= 6 + 45−32

= 51 − 32

= 51 − 9

= 42

hope I helped!!

simplify Cos(a+b) +Cos(a+b)​

Answers

At the risk of piling on after correct answers have already been given, I’ll offer another way to address this problem. Recall that, if
θ
is real, cos()=Re()
cos

(
θ
)
=
R
e
(
e
i
θ
)
. So, with
A
and
B
real,

(+)+(−)=(+−)=2cos()
e
i
(
A
+
B
)
+
e
i
(
A

B
)
=
e
i
A
(
e
i
B
+
e

i
B
)
=
2
e
i
A
cos

(
B
)

Finally,

cos(+)+cos(−)=Re((+)+(−))=Re(2cos())
cos

(
A
+
B
)
+
cos

(
A

B
)
=
R
e
(
e
i
(
A
+
B
)
+
e
i
(
A

B
)
)
=
R
e
(
2
e
i
A
cos

(
B
)
)

=2cos()cos()

Larry's small business has $60,000 dollars in its account and makes automatic
monthly payments that total $12,000.

Answers

Answer:

nice flex

Step-by-step explanation:

the next term of the square 3 by 1​

Answers

9514 1404 393

Answer:

  (B)  1/27

Step-by-step explanation:

The terms of the sequence have a common ratio.

  (1/8)/(3/16) = (2/16)/(3/16) = 2/3

  (1/12)/(1/8) = (2/24)/(3/24) = 2/3

  (1/18)/(1/12) = 12/18 = 2/3

The next term will be ...

  (1/18)(2/3) = 2/54 = 1/27 . . . . matches choice B

Please help me :(.......

Answers

Answer:

He makes £470 profit

Step-by-step explanation:

He pays $160 for 60 jumpers.

He sells 80% (48) for $12 each. Income of $576

He puts the remaining (12) on sale for one full one half off.

He sells 3 for half price ($6) and 3 for full price ($12) Income of $54

$576 + $54 = $630

$630 - $160 = $470

In pounds sorry about the USD

A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?

Answers

A 3/6 of a chance because there’s 3 even numbers also 50% chance or 1/2 chance
It’s 1/2! Or you could say 3/6. This is because in 1-6 there are 3 even Numbers and that would be half of the 6 sides are even numbers! Hope this helps! :)

I will mark you brainliests help me with this please ​

Answers

Answer:

[tex]G=cos(x) -1[/tex]

Write the equation for this line in slope-intercept form.
y=-2x+?

A. -4
B. 2
C. -2
D. -1/2


Please explain as simply as you can I'm really struggling. Also will give brainly

Answers

Answer:

The answer is A. -4.

Step-by-step explanation:

The missing value you are looking for is the y-intercept or where the line crosses the y axis.

Your answer would be A. -4 because that’s where your line intercepts the y-axis

Reasoning. A​ salesperson's commission rate is 6​%. What is the commission from the sale of $35,000 worth of​ furnaces? Use pencil and paper. Suppose sales would double. What would be true about the​ commission? Explain without using any calculations.

Answers

Answer:2,100

Step-by-step explanation:

hi hello! please help me.

Answers

Answer:

x= -4

Step-by-step explanation:

hope it's helpful to you

Answer:

A) x= -4

Step-by-step explanation:

To solve you must isolate the variable. Do this by using the properties of equality to subtract and divide numbers from both sides of the equation. First, subtract 8x to move all x terms to the right side.

-48=12x

Then, divide both sides by 12

-4=x

a train travels 16 miles in 20 minutes . at this rate how many minutes will it take to tavel 12 miles

Answers

Answer:

15 minutes

Step-by-step explanation:

distance = rate · time

16 = 20r

r = 16/20 or 4/5 miles per minute

12 = 4/5·t

4t = 12·5

t = 60/4 or 15 minutes

I got it wrong and I don't have time to fix it, I don't know how to delete my response do just report this I guess ;-;


Allan and Robert are viewing a kite in the air. The kite
has an altitude of 205 feet. The angles of elevation
from the ground are shown in the picture below.
What is the total distance between Allan (Point A)
and Robert (Point R)?
A. 292.9
B.166.0
C. 458.9
D. 24.5

Answers

[tex]tan \: a = \frac{opp}{adj} = \frac{205}{adj} [/tex]

[tex]adj = \frac{205}{ \tan(35) } [/tex]

[tex]adj = 292.7703414[/tex]

//

[tex]tan \: r = \frac{opp}{adj} = \frac{205}{adj} [/tex]

[tex]adj = \frac{205}{ \tan(51) } [/tex]

[tex]adj = 166.0057268[/tex]

//

[tex]292.7703414 + 166.0057268[/tex]

[tex] = 458.7760682 \: ft.[/tex]

round as you wish.

NEEDED ASAP WILL MARK AS BRAINLIEST
Here are two right-angled triangles.
Given that tan a = tan b
find the value of x.
You must show all your working.

Answers

Explanation:

This might not be how you are supposed to do it but,

We can see the two triangles are similar because AA similarity.

We know that the sides are proportional so we can make:

[tex]\frac{x+2}{x}=\frac{4}{3x-1}[/tex]

We get,

[tex]3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1[/tex]

Because sides can't be negative, x = 2/3

Answer:

x=2/3 = 0.7

Step-by-step explanation:

X+2/x = 4/3x-1

=(X+2)(3x-1)=4x

(x+2)(3x-1)-4x=0

3x²-x+6x-2-4x=0

3x²+x-2=0

3x²+3x-2x-2=0

3x(x+1)-2(x+1)

(x+1)(3x-2)=0

x+1=0

3x-2=0

x=-1 or 2/3

x=2/3 = 0.7

Simplify the expression. -6 1/3-1/2(1/2+x)

Answers

Answer:

-79/12 - x/2

Step-by-step explanation:

Simplify ⏬

Which of the following sets of side
lengths would not form a triangle?
A 29, 39, 69
B 29, 38, 49
C 29, 41, 19
D 29, 37, 10

Answers

Answer:

A

Step-by-step explanation:

Because 29+39=68

68<69

therefore this would not make a triangle!

Answer:

A.

Step-by-step explanation:

29 + 39 = 68 which is less than 69 so A is not a triangle.

is this right if it's not can you help me please

Answers

Answer:

I think its right. It look good to me. But always make sure its right before submitting

Inequality from graph
Choose the inequality that represents the following graph.
MY
Cou
-5
14
13
12
+
5
1
0
1
2
3
4
MY
Choose 1 answers
Pro
21
Pro
Теа
2011
2-1
2-1
Hi

Answers

Answer:

A. x < -1

Step-by-step explanation:

Because the direction of the vector is less than -1 and the dot on -1 isn't filled (not equal to)

Answer:

option a and b is the inequality that represents the following grap

1) Find the linear equation from the
graph:

Answers

Answer:

y = -1/2 x - 3

Step-by-step explanation:

Use the coordinates from the graph:

(-6, 0) and (0, -3)

Slope m = -3-0/0-(-6)

m = -3/6

m = -1/2

The y-intercept is -3 (point where the line meet the y intercept)

Substitute unto the expression y = mx+c

y = -1/2 x - 3

Hence the required equation is y = -1/2 x - 3

find x=, if x+4=10 please hurry!!!

Answers

The answer is x= 6

6 + 4 is = 10.

Answer:

x=6

Step-by-step explanation:

+4=10

+4-4=10−4

x=6

2/16 2 + x = 12
what is the answer to this equation?

Answers

Answer:

nomelase pero será chida la imagen que tienes

is y = -x a proportional relationship

Answers

Answer:

For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.

Step-by-step explanation:

Answer:

Yes kdsjsbahajajsjsbsbsbsnsn

can you help me please ​

Answers

This question is much easier than the last one. As we can see the yellow are is the same as the bottom area with the same shape. And the area of the 2 hemispheres adds together to a full circle area: 3^2*pi=9pi

Area of yellow region=(36-9pi)/2=18-9/2pi=3.862 and round this to the nearest tenth getting 3.9.

G(x)=-x-3, find g(1)

Answers

Answer:

G(1) = -2

Step-by-step explanation:

for G(1) replace x with 1

G(1)=1-3

subtract

1-3 = -2

so G(1) = -2

help asap look at ss

Answers

Answer:

they are 3

Step-by-step explanation:

Integer exponents

1. 2(9x - 2y) =

2. 2k3 (2k2 + 5k - 4) =

3. 7(6x2 + 9xy + 10y2) =

4. 8x (6x + 6) =

5. 8r2 (4r2 - 5r +7) =



Answers

all answers are in the photo

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

56 boys and 34 girls visit a zoo.
46 of these children have a voucher.
Three times as many boys as girls do not have a voucher.
Complete the frequency tree.

Answers

Answer:

the amount of boys that HAVE a voucher is 23

the amount of girls that HAVE a voucher is 23

Step-by-step explanation:

Answer: follow for more answers concerning maths, biology physics and chemistry

Step-by-step explanation:

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer:

             y = 4

Step-by-step explanation:

x + 2y = 10    ⇒  2y - 10 = -x

-x + 4y = 14

2y - 10 + 4y = 14

6y = 24

 y = 4

Select one or more expressions that together represent all solutions to the equation.
sin(x)=-0.7

Answers

Answer:

A. [tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]

B. [tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]

Step-by-step explanation:

The negative value of the sine function indicates that [tex]x[/tex] is located at third and fourth quadrants. Besides, this function has a period of 360º. There are two families of solutions:

[tex]x_{1} = \sin^{-1} (-0.7)[/tex]

[tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]

[tex]x_{2} = \sin^{-1} (-0.7)[/tex]

[tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]

Hence, right answers are A and B.

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