Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
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.
Normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that [tex]\mu = 7.2, \sigma = 2.1[/tex]
Probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3. So
X = 9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9 - 7.2}{2.1}[/tex]
[tex]Z = 0.86[/tex]
[tex]Z = 0.86[/tex] has a pvalue of 0.8051
X = 3
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 7.2}{2.1}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Please help and will give brainliest
9514 1404 393
Answer:
12 m³
Step-by-step explanation:
The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...
V = LWH
V = (2 m)(4 m)(3 m) = 24 m³
The top platform has dimensions 2m × 3m × 2m, so a volume of ...
V = (2 m)(3 m)(2 m) = 12 m³
The bottom platform has a larger volume by ...
24 m³ -12 m³ = 12 m³
The bottom prism has a 12 m³ larger volume.
Answer:
the answer is 12m squared
find the slope
!!!!!please help QUICK!!!!
Answer:
3/4
Step-by-step explanation:
We can find the slope using two points
( 0,-5) and ( 4,-2)
The slope is given by
m = ( y2-y1)/(x2-x1)
= ( -2- -5)/( 4-0)
= (-2+5)/(4-0)
=3/4
4x+3y=16
y=x+3
X=
Y=
__________________________
4x + 3y = 16
x = -3 / 4 y + 4
y = -4 / 3 x + 16 / 3
___________________________
y = x + 3
x = y - 3
y = x + 3
___________________________
if he always online on messenger but take too long to respond to u or not at all, what does that mean ?
Answer: prob cheatin' on you
Step-by-step explanation: or died-
Mr.Bhal has a circular wading pool with a radius of 3.5 feet. He bought a larger pool witha diameter of 21 feet. The measurements of each pool are shown below. How many times the circumference of the old pool is the circumference of the new pool?
Answer: i think c
Step-by-step explanation:
Chan chose an integer. He subtracted 8. Then, he multiplied the difference by -3. The answer was 60. What integer did Chan choose?
Answer:
-12
Step-by-step explanation:
let that integer be x.
-3(x-8) =60
2x - 3
L
M
x + 4
X =
?
Answer: 7
Step-by-step explanation:
2x - 3 = x + 4
2x - x - 3 = 4 Mius x from the both side
x - 3 = 4
x = 7 Add the 3 from both side
Which of the following lines is perpendicular to the line 8x + 6y = 12 and passes through the point (-12,-2)?
Answer:
y = 3/4x + 7
Step-by-step explanation:
8x + 6y = 12
6y = -8x + 12
y = -4/3x + 2
Perpendicular slope: 3/4
y - y1 = m(x - x1)
y + 2 = 3/4(x + 12)
y + 2 = 3/4x + 9
y = 3/4x + 7
Given that f(x) = x2 – 5x + 6 and g(x) = x – 3, find f(x) + g(x) and express
the result in standard form.
Answer:
G(X)+f(X) = x2-6x+3
Step-by-step explanation:
If abc+1=0, prove that: (1/1−a−b^-1)+(1/1−b−c^-1)+(1/1−c−a^−1)=1
Answer:
Hope it will help. I did it.
Hope the image is clear.
Answer:
2
Step-by-step explanation:
Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed that the northward displacement of the rock units has an approximately normal distribution with a standard deviation of 500 kilometers (Canadian Journal of Earth Sciences, Vol. 27, 1990). One group of researchers estimated the mean displacement at 1,200 kilometers, whereas a second group estimated the mean at 1,000 kilometers.
Required:
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
Answer:
a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers
b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers
c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Standard deviation of 500 kilometers
This means that [tex]\sigma = 500[/tex]
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Mean of 1500 km means that [tex]\mu = 500[/tex]
The probability is the pvalue of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1500}{500}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Now [tex]\mu = 1200[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1200}{500}[/tex]
[tex]Z = -1.4[/tex]
[tex]Z = -1.4[/tex] has a pvalue of 0.0808
0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
8ty grade math, please help.
-Find the volume-
Answer:
47.12389 Rounded is 47.12
Step-by-step explanation:
V=πr2h=π·12·15≈47.12389
PLZ HELP
What is the x-intercept of the graph y = 2x - 14?
-14
-7
0
7
A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem
Answer:
75cm is the measurment
Step-by-step explanation:
It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.
an angle measures 176 degrees more than the measure of its supplementary angle. what is the measure of each angle
Answer:
One angle measures 178º, and the other measures 2º.
Step-by-step explanation:
Given that an angle measures 176 degrees more than the measure of its supplementary angle, to determine what is the measure of each angle, the following calculation must be performed, knowing that the sum between two complementary angles gives 180º:
(180 - 176) / 2 = X
4/2 = X
2 = X
180 - 2 = 178
Thus, one angle measures 178º, and the other measures 2º.
(3uv/2u²-2v²)+5uv/3u²+3v2
Answer:
19/6 u^3 v + v^2
Step-by-step explanation:
3uv2
u2−2v2+
5uv3
u2+3v2
=32
u3v+−2v2+53
u3v+3v2
Combine Like Terms:
=32
u3v+−2v2+53
u3v+3v2
= (3
u3v+
53
u3v)+(−2v2+3v2)
answer fast plz sjsjzjz
Answer:
104
Step-by-step explanation:
Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84
Multiply the second shape: 5 x 4 = 20
The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=9x+1500, where x is the number of rides. It costs $34 per ride. How many rides does it take to break even?
Step-by-step explanation:=x1430
The Jones family took a 16 mile canoe ride down the Indian River in two hours. After lunch, the return trip back up the river took four hours. Find the rate,
in mph, of the canoe in still water and the rate of the current.
9514 1404 393
Answer:
canoe 6 mphcurrent 2 mphStep-by-step explanation:
The speed downriver was (16 mi)/(2 h) = 8 mph. The speed upriver was (16 mi)/(4 h) = 4 mph. The canoe's speed in still water is the average of these speeds: (8+4)/2 = 6 miles per hour.
The current's speed is the difference between the actual speed and the canoe's speed: 8 -6 = 2 miles per hour.
The speed of the canoe in still water is 6 mph; the rate of the current is 2 mph.
Complete the work shown to answer the question.
p2 – 14p – 72 = 0
p2 – 14p = 72
p2 – 14p + 49 = 72 + 49
Which describes the solutions of the equation?
Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
i got the answer its a
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation: It's A
Answer:
Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
he in
30 in
3 in
50 in.
A rectangle is removed from the middle of a larger rectangular shaped board. What is the area of the remaining
board?
198 in
543 in?
1000 in?
elp
1452 in
Type here to search
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Answer:
What????
Step-by-step explanation:
Answer:
I dont get it
Step-by-step explanation:
what
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.
Answer:
Step-by-step explanation:
30
graph x > -4 on a number line
Answer:
Well, since x is bigger than negative 4, it cant be -5, so its either from -3 to 5.
since your question says to graph it, i attached a blank graph. put the points on the blank graph and this will help you find your answer. hope i helped.
Step-by-step explanation:
solve for x
please help
Answer:
x = 63.5°
Step-by-step explanation:
To find the value of x in the given right triangle, we would apply trigonometric function.
Reference angle = x
Side length Opposite to x = 17
Hypotenuse length = 19
Apply SOH:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
[tex] sin(x) = \frac{17}{19} [/tex]
[tex] x = sin^{-1}(\frac{17}{19}) [/tex]
x = 63.474648° ≈ 63.5° (nearest tenth)
Write an equation and find the missing angle.
A triangle has sides with lengths of 10 centimeters, 23 centimeters, and 26 centimeters. Is it
a right triangle?
Answer:
No, it is not a right triangle. It is an obtuse triangle.
Step-by-step explanation:
How to know a right traingle
A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
Which table of values represents a linear functions?
Answer:
D
Step-by-step explanation:
The Problem of the Points. Two players engage in a game. They are equally matched, and the chances of winning a point are the same for each player. The first player to score 10 points wins the $100 stakes. The game is interrupted suddenly when Player A has 7 points and Player B has 5 points. How should the stakes be divided fairly
Answer:
Player A receives $77.34375 of the sakes
Player B receives $22.65625 of the stakes
Step-by-step explanation:
Given that at the time the game was interrupted, we have;
The number of points player A has = 7 points
The number of points player B has = 5 points
The amount the first player to score 10 points wins = $100
The number of points remaining for player A to win the game = 3
The number of points remaining for player B to win the game = 5
Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials
We take the probability that Player A wins a point as success
We find the likelihood of Plater A winning by using binomial theory as follows;
[tex]P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} = \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}[/tex]
Therefore, given that the likelihood of Player A winning = 99/128
The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes
Therefore, Player A gets (99/128) × $100 = $77.34375
Player B gets (29/128) × $100 = $22.65625
The product of five and a number plus 10 is at least thirty
Answer: Greater of equal sign
Step-by-step explanation:
5+10+x is greater than or equal to 30 ( use the greater of equal to sign)
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total
sales were $2.6 billion. What was the leading brands sales? Show your work.
Answer:
The answer is $520,000,000
Step-by-step explanation:
To find twenty percent of the total $2.6 billion, all you need to do is multiply 2.6 billion * 20%
2.6, 000,000,000 * 20% (or 1/5) is 520,000,000
Since this answer is reasonable, the answer is $520,000,000