Question 1 of 10
Suppose a normal distribution has a mean of 266 and a standard deviation of
12. What is P(x> 242)?
O A. 0.16
B. 0.475
C. 0.84
D. 0.975
Answers
0.975 is P(x ≥242) with a mean of 266 and standard deviation of 12
The required value of P(x> 242) = is 0.975 for normal distribution. Option D is correct.
The normal distribution has a mean of 266 and a standard deviation of
12. What is P(x> 242) is to determine.
Whata is normal distribution?Normal distributions can be altered to standard normal distributions by the formula:
Z = (X - μ)/σ
Where x is a value from the initial normal distribution, μ is the mean of the initial normal distribution, and σ is the standard deviation of the initial normal distribution. The standard normal distribution is periodically called the z distribution.
Now,
z = X - 266 /12
p(x > 242) = P [(X - 266)/12 ≥ (242 - 266)/12]
p(x > 242) = P [z ≥ -24/12]
p(x > 242) = P [z ≥ -2]
p(x > 242) = P [z ≤ 2]
p(x > 242) = 0.975 (from Z table).
Thus, the required value of P(x> 242) = is 0.975. Option D is correct.
Learn more about normal distribution here:
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Related Questions
If DEFG is a rectangle,
find the measure of DEG.
how do i do this
Answers
Answer:
It is 68
Step-by-step explanation:
[tex]2x - 10 = x + 6 \\ 2x - x = 6 + 10 \\ x = 16[/tex]
[tex]let \: (y) \: the \: angle \: which \: wanted \\ 90 = y + (2x - 10) \\ 90 = y + (32 - 10) \\ y = 90 - 22 \\ y = 68[/tex]
Thanks alot
Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.
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Answer:
c it offers lower interest rates
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Answer:
(1/2)x+(1/4)=x
x=0.5
3x+3=2(x+7)
x=11
2(x-5)+7=x+8
x=11
0.8x+5=0.2(40-x)
x=3
5(x-1)-6x=-11x
x=0.5
6(x+2)-x=4(x+4)+7
x=11
(1/2)(x+8)+(3/2)x=10
x=3
Step-by-step explanation:
(1/2)x+(1/4)=x
x-0.5x=0.25
0.5x=0.25
x=0.5
3x+3=2(x+7)
3x+3=2x+14
3x-2x=14-3
x=11
2(x-5)+7=x+8
2x-10+7=x+8
2x-x=8+10-7
x=11
0.8x+5=0.2(40-x)
0.8x+5=8-0.2x
0.8x+0.2x=8-5
x=3
5(x-1)-6x=-11x
5x-5-6x=-11x
11x-x=5
10x=5
x=0.5
6(x+2)-x=4(x+4)+7
6x+12-x=4x+16+7
6x-4x-x=16+7-12
x=11
(1/2)(x+8)+(3/2)x=10
0.5x+4+1.5x=10
2x=6
x=3
The polygons are similar. Find the value of x.
A
14
F 7 R
12
13
S
F
13
G
8
26
X =
Answers
Answer:
If the two polygons are similar, then their sides are proportianal.
We see that sides in the larger polygon are two times as long as the sides of the smaller polygon.
So, if the larger polygon has a side length of 13, then the smaller polygon would have a side length of 13/2, or 6.5
Let me know if this helps!
Use the remainder theorem to find P(-3) for P(x) = 2x° +5x² +5.
Specifically, give the quotient and the remainder for the associated division and the value of P(-3).
Answers
Goran is participating in a 6-day cross-country biking challenge. He biked for 51, 65, 62, 46, and 62 miles on the first five
days. How many miles does he need to bike on the last day so that his average (mean) is 56 miles per day?
Answers
Answer:
i dont understand?
Step-by-step explanation:
A triangle has a perimeter of 280 cm, and its side lengths are a, b and c respectively. If
a:b= 2:3, b:c=4:5, find the length of each side of the triangle.
Answers
Answer:
The length of the sides are 64 cm, 96 cm and 120 cm.
Step-by-step explanation:
Perimeter of a triangle:
The perimeter of a triangle is the sum of it's sides.
A triangle has a perimeter of 280 cm, and its side lengths are a, b and c respectively.
This means that:
[tex]a + b + c = 280[/tex]
a:b= 2:3
This means that:
[tex]\frac{a}{b} = \frac{2}{3}[/tex]
[tex]2b = 3a[/tex]
[tex]b = \frac{3a}{2}[/tex]
b:c=4:5
This means that:
[tex]\frac{b}{c} = \frac{4}{5}[/tex]
[tex]4c = 5b[/tex]
[tex]c = \frac{5b}{4}[/tex]
[tex]c = \frac{5*3*a}{4*2} = \frac{15a}{8}[/tex]
At the original equation:
We replace b and c in function of a. So
[tex]a + b + c = 280[/tex]
[tex]a + \frac{3a}{2} + \frac{15a}{8} = 280[/tex]
Multiplying everything by 8
[tex]8a + 12a + 15a = 280*8[/tex]
[tex]35a = 280*8[/tex]
[tex]a = \frac{280*8}{35}[/tex]
[tex]a = 64[/tex]
Sides b and c:
Since we have a, we can find sides b and c:
[tex]b = \frac{3a}{2} = \frac{3*64}{2} = 3*32 = 96[/tex]
[tex]c = \frac{15a}{8} = \frac{15*64}{8} = 15*8 = 120[/tex]
The length of the sides are 64 cm, 96 cm and 120 cm.
Why is a data point with an x-coordinate of 0 a good point to use when creating a trend line for a data set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points (0,481) and (10,39,). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea level?
Answers
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
A linear equation is given by:
y =mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the altitude of the balloon at time x.
Given that a trend line passes through the point (0,481) and (10,39), the equation of the trend line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]
At 454.6 ft:
454.6 = -44.2x + 481
-26.4 = -44.2
t = 0.6 minutes
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
Find out more at: https://brainly.com/question/13911928
PLEASE ANSWER I WILL GIVE BRAINLIEST AND LOVE U FOREVER!
Answers
Answer:
im not even sure this is right
Step-by-step explanation:
A=a+b 2h=2+1.1
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Translate into an equation.
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Answers
Answer:
4=8+x
Step-by-step explanation:
Please help with math
Answers
Answer:
36-(16)+7= 36-16+7=27 hope it helps
Corrected by lenaelathbash
Answer:
27
Step-by-step explanation:
6² = 6 x 6 = 36
36 - ( 8 - 4 ) ² + 7
36 - ( 4 ) ² + 7
36 - 16 + 7
20 + 7
27
Hope this helps! :)
which expression is equivalent to 4 - 10(9m-7)
Answers
Step-by-step explanation: multiply both sides by 9m-7 then bring down your 10
that's about all I can remember so your on your own from that point it's been a while since I've did this sorry mate
“Half of a number (n) is at least 22."
translate and solve
Answers
Answer:
n >_44
Step-by-step explanation:
1/2n>_22
(times 2 on both sides)
n >_44
*** >_ is greater than or equal to sign
what is 656 ÷ 4
we need to know how to solve this equation.
Answers
Answer: 164
Step-by-step explanation: 656 /4
164
How many people survived the water park?
Answers
Answer:
70 people visited the waterpark.
Step-by-step explanation:
Since you know that 250 people were surveyed and of those people, 28% of them visited the waterpark, you have to find out what 28% of 250 is. 28% of 250 is 70, so 70 people visited the waterpark.
I hope this helps you.
20.
Which of the following is equivalent to
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Answer:
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simplified using Foil
the equation A=6s to the power of 2 can be used to calculate A the surface area of the cube with edges lengths using this equation what is the surface area of a cube with an edge length of 5 inches?
Answers
Answer:
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Step-by-step explanation:
The surface area, in general, is A = 6s^2, where s is the length of one side of the cube.
If the edge length is 5 in, then the surface area of the cube is
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Answer:
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Step-by-step explanation:
(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥
What is the word form for 407,219
Answers
Answer:
four hundred seven thousand two hundred nineteen
Step-by-step explanation:
Answer:
Four hundred seven thousand two hundred nineteen
Step-by-step explanation:
which of the following equations will produce the graph shown below?
Answers
Answer: x-1/8y^2=0
Hope this helps any !
Helpppppp plssss
Consider the numbers z= 2 + 5i, w = -3- 2i, and u=-1+2i.
z+w is equal to -1+vi
w-u is equal to - 4i
u + w is equal to -4 -
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Answer:
Step-by-step explanation: 4i = i4 so divide that into one half and you get 4r
Answer:
3, 2, 0
Step-by-step explanation:
just trust me
The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?
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Answer:
575
Step-by-step explanation:
500 x .15 = 75
500 + 75 =575
write in exponential notation (-3)^6/ (-3)
Answers
Answer:
-3⁵
Step-by-step explanation:
3⁶ / -3 = -3⁶ * -3⁻¹ = -3⁶⁻¹ = -3⁵
Answer:
(-3)⁶/(-3) = {(-3)×(-3)×(-3)×(-3)×(-3)×(-3)}/(-3) = (-3)⁵
-3⁵ is the right answer.Use the ruler provided to measure the radius of the circle to the nearest centimeter.
Which measurement is closest to the area of the circle in square centimeters?
Answers
Answer
its B
Step-by-step explanation:
Answer:
43.96 2 cm2
Step-by-step explanation:
Find the final amount for a $1500 investment at 5.65% interest compounded daily for 3 years.
Answers
Answer:
1777.05
Step-by-step explanation:
[tex]FV=PV(1+\frac{i}{n})^{nt}\\\\\\1500(1+\frac{.0565}{365})^{365*3}\\\\1500(1.000154)^{1095}\\\\1777.045 =1777.05[/tex]
6.1 - 5.4 - ( 7.7)
help
Answers
Answer:
-7
Step-by-step explanation:
i used a calculator
You know I just used a calculator
7
A tablet computer listed at an original price of $250 is placed on sale for
20% off the original price. Bob, an employee of the store, gets an
additional 30% off the sale price. What price would Bob pay to purchase
the tablet computer?
$100
$125
$200
$140
Answers
Answer:
$140
Step-by-step explanation:
250 decrease 20% =
250 × (1 - 20%) = 250 × (1 - 0.2) = 200
200 decrease 30% =
200 × (1 - 30%) = 200 × (1 - 0.3) = 140
Explanation.