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:
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I will mark you brainliests help me with this please
Answer:
[tex]G=cos(x) -1[/tex]
Select one or more expressions that together represent all solutions to the equation.
sin(x)=-0.7
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.
Simplify the expression. -6 1/3-1/2(1/2+x)
Answer:
-79/12 - x/2
Step-by-step explanation:
Simplify ⏬
the next term of the square 3 by 1
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
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
[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.
help asap look at ss
Answer:
they are 3
Step-by-step explanation:
a train travels 16 miles in 20 minutes . at this rate how many minutes will it take to tavel 12 miles
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 ;-;
Please help me :(.......
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
is y = -x a proportional relationship
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
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
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.
simplify Cos(a+b) +Cos(a+b)
A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?
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.
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:
sole this question ?
30÷5+(9×5)-3²=
Answer:
30÷5+(45)-96+45-942I do exams and quizzes if ur interestedAnswer:
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!!
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) =
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
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
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
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
find x=, if x+4=10 please hurry!!!
The answer is x= 6
6 + 4 is = 10.
Answer:
x=6
Step-by-step explanation:
+4=10
+4-4=10−4
x=6
Write a Haiku about science please! Have a great day :)
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!
G(x)=-x-3, find g(1)
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
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.
Answer:2,100
Step-by-step explanation:
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.
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
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
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.
can you help me please
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.
Larry's small business has $60,000 dollars in its account and makes automatic
monthly payments that total $12,000.
Answer:
nice flex
Step-by-step explanation:
2/16 2 + x = 12
what is the answer to this equation?
Answer:
nomelase pero será chida la imagen que tienes
1) Find the linear equation from the
graph:
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
hi hello! please help me.
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
Need help ASAP
Thankss + BRAINLIST only for correct answer
Answer:
y = 4Step-by-step explanation:
x + 2y = 10 ⇒ 2y - 10 = -x
-x + 4y = 14
2y - 10 + 4y = 14
6y = 24
y = 4
is this right if it's not can you help me please
Answer:
I think its right. It look good to me. But always make sure its right before submitting