Answer:
The value is [tex]P(X > 500 ) = 0.011942[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 430[/tex]
The standard deviation is [tex]\sigma = 120[/tex]
The sample size is n = 15
Generally the probability that the sample mean is above 500
Gnerally the standard error of mean is mathematically represented as
[tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]
=> [tex]s = \frac{ 120 }{ \sqrt{15} }[/tex]
=> [tex]s = 30.984[/tex]
Generally the probability that the sample mean is above 500
[tex]P(X > 500 ) = P( \frac{X - \mu }{\sigma_x} > \frac{500 - 430 }{ 30.984 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
=> [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
From the z table the area under the normal curve to the right corresponding to 2.259 is
[tex]P( Z > 2.259 ) = 0.011942[/tex]
=> [tex]P(X > 500 ) = 0.011942[/tex]
Find (x + 3) (x^2 – 2x – 8).
Answer:
(x−4)(x+2)(x+3
i think
Answer:
x^3 +x^2 -14x -24
Step-by-step explanation:
Use distributive property:
x(x^2)+x(-2x)+x(-8)+3(x^2)+3(-2x)+3(-8)
x^3 -2x^2 -8x +3x^2 -6x -24
x^3 +x^2 -14x -24
Write an integer for:
13° below zero
Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?
Answer:
12.5%
Step-by-step explanation:
400 divided by 3200= .125
.125 x 100= 12.5
12.5%
Compare -4 ____ -12 9 ___ -35
If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)
Answer:
Length = 0
Step-by-step explanation:
The bridge troll is tearing his toe nails up climbing the Empire State Building.
when you multiply 2/3 by a fraction less than one,how does the product compare to the factors?
Answer:
The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.
The highest point in California is Mt. Whitney with an elevation of 14,494 feet. The lowest point is Death Valley with an elevation of -282 feet. Which is the difference in these elevations?
Answer:
14,776
Step-by-step explanation:
give the other person brainliest
Please hurry I need this fast
Answer:
C
Step-by-step explanation:
Answer:a
Step-by-step explanation: a
Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).
8/5-c - 8/5+c
Find the difference in simplest form.
Answer:
16c
Step-by-step explanation:
The simplest form is: [tex]\frac{16c}{25-c^2}[/tex].
Total distance = 16 miles.
So each distance = 16/2=8 miles.
Given: He can paddle the kayak at an average rate of 5 miles/hour.
And the speed of the current is = c
So the speed while going up = (5-c)
The speed while going down=(5+c).
So the time while going up = [tex]\frac{8}{5-c}[/tex]
The time while going down=[tex]\frac{8}{5+c}[/tex].
So the difference is:
[tex]\frac{8}{5-c}-\frac{8}{5+c}\\=\frac{8(5+c)}{(5-c)(5+c)}- \frac{8(5-c)}{(5-c)(5+c)}\\=\frac{8(5+c)-8(5-c)}{(5-c)(5+c)}\\=\frac{40+8c-40+8c}{(5-c)(5+c)}\\=\frac{16c}{(5-c)(5+c)}\\=\frac{16c}{25-c^2}[/tex]
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7. What is the slope of the line that passes through (12, 10) and (11, 15)?
Answer:
-5
Step-by-step explanation:
Mikah is proving the base angles of this triangle are congruent.
In isosceles QRS, RT is the angle bisector of
•definition of angle bisector
•reflective property of congruence
•symmetric property of congruence
•corresponding angles are congruent
Answer:
definition of angle bisectorStep-by-step explanation:
First step in proof is:
∠1 = ∠2The reason is:
definition of angle bisectormultiply .035 times a power of ten so that the product is greater than 1 but less than 100
Answer:
0.035 x 10^3
Step-by-step explanation:
yes
Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5.5% of the selling price.
How much commission will the salesperson earn by selling a couch for $495? (round to the nearest 100th)
Answer:
27.23
Step-by-step explanation:
495*0.055=27.225 --> 27.23
Answer: 27.23
Step-by-step explanation:495*0.055=27.225 --> 27.23
Find the average rate of change for the given function
from x = -1 to x = 5. (4 points)
NEED EXPLAINING THX
Answer:
- 1
Step-by-step explanation:
All you need to do is find the slope. How you do that is y2-y1/x2-x1
Yours would look like this:
[tex]\frac{1-7}{5-(-1)}=\frac{-6}{6}[/tex]
Then you simplify to get -1
please help ALGEBRA II
You are a personnel director and are interested in predicting the Number of Shares of Company Stock (Y) using the Number of Years Employed with the Company (X). You randomly selected 8 employees and found that the average number of shares is 525 and the average number of years employed is 22.5. If the slope (b1) is 20.0, what is the least squares estimate of the intercept (b0)?
a. 25.0
b. 75.0
c. 40.0
d. 80.5
e. None of these are correct
Answer:
b. 75.0
Step-by-step explanation:
Calculation for the least squares estimate of the intercept (b0)
Using this formula
Intercept (b0) least squares estimate=[Shares average number-(Slope (b1)*Average number of years employed)]
Let plug in the formula
Intercept (b0) least squares estimate=[525-(20.0*22.5)]
Intercept (b0) least squares estimate=525-450
Intercept (b0) least squares estimate=75.0
Therefore the least squares estimate of the intercept (b0) will be 75.0
What is the equation of the line shown in the graph?
Answer:
-x + -2
There is the answer
The harbormaster decides how many trips the ferry needs to
make for 37 cars. The ferry can carry 8 cars at a time. How many trips does the ferry need to make so that all cars can cross the harbor?
Answer:
The ferry needs to make 5 trips.
Step-by-step explanation:
All we need to do is divide the numbe of trips by how many cars at a time.
37 ÷ 8 = 4.62500
4.62500 ≈ 5
an ancient atifact is 4 time older then an anitque book
What is the width of the vegetable garden?
Answer:
The width of the vegetable garden is 3 feet.
Step-by-step explanation:
12 ÷ 4 = 3
When the correlation between x and y is zero, what is the best prediction of a y score that can be made from a given x score?
Answer:
The mean of y
Step-by-step explanation:
In statistics, correlation is the degree of the linear relationship between two variables. The correlation coefficient is the numerical measure of the linear relationship of two variables, It is measured in the range -1 to 1. When the coefficient is negative, the variables are said to have a negative correlation, while it is a positive correlation or have a strong linear relationship if the correlation coefficient is positive.
When the correlation coefficient is zero, both variables have no linear relationship and the best predictions of each variable would be the mean.
20 POINTS! HELP!
Which operations can be applied to both sides of the inequality 8 < 10 such that it remains a true statement?
4 ANSWERS!!
Add -4
Divide by 8
Multiply by -2
Subtract -7
Divide by -3
Multiply by 1/2
Which expression can be used to convert 80 US dollars to Australia dollar
Answer:
1 AUD = 0.9668 USD. A) 80 USD x (0.9668 USD / 1 AUD)
Step-by-step explanation:
does this help?
Solve the proportion34.5x=5672 , rounding your answer to the nearest tenth
Answer:
164.4
Step-by-step explanation:
34.5x=5672
34.5 34.5
x=164.4
Hello! :)
Please help me answer this question ! And explain how you answers it. I will give brainslt :)
Answer:
1. False
2. False
3. True
Step-by-step explanation:
1. It fails the 'Vertical Line Test.' Draw a line through the center of the relation and see if the line passes through the graph more than once. It does, therefore it fails the test. Meaning it is not a function.
2. Domain (x) is all the x-values in the equation, the relation only contains the x-values x>0 and x<7 (0 - 7). Meaning it does not contain all real numbers.
3. The range (y) contains negative numbers because the relation is partially in the 4th quadrant, meaning it MUST contain a negative y-value.
At a game show, there are three doors marked 1, 2, and 3. A contestant is allowed to select one of three keys labeled A, B, and C and then use it to open one of the doors. The sample space showing the ways in which a contestant can select a key and a door is represented in the table.
Door
1 2 3
Key A A-1
A-3
B B-1 B-2 B-3
C C-1 C-2
C-3
What is the missing term in the table? If there were two doors instead of three doors, what would the sample size be?
A.
The missing term is A-2. The sample size would be 6.
B.
The missing term is C-2. The sample size would be 8.
C.
The missing term is C-2. The sample size would be 9.
D.
The missing term is B-2. The sample size would be 12.
Answer:
It is A
Step-by-step explanation:
The answer is A. The missing term is A-2. The sample size would be 6.
a. To answer the question, we need to know what sample space is.
What is a sample space?A sample space is the total number of possible outcomes of an event.
Now, since there are Doors 1, 2 and 3 and Keys A, B and C. The sample space is
Key A: A-1, A-2, A-3
Key B: B-1, B-2, B-3
Key C: C-1, C-2, C-3
So, the missing item is A-2.
b.
The sample size would be 6.
To answer the question, we need to know what sample size is.
What is sample size?The sample size is the size of the sample space.
If there were two doors instead of 3, the sample size would be since we have 2 doors and 3 keys. The sample size is 2 × 3 = 6.
So, the sample size would be 6.
So, the answer is A. The missing term is A-2. The sample size would be 6.
Learn more about sample space here:
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Solve this mattistep equation
SHOW YOUR WORK
f. (t + 3) = 40
Answer:
t=37
Step-by-step explanation:
t+3=40
Step 1: Subtract 3 from both sides.
t+3−3=40−3
t=37
Answer the questions
1.find the value of x
2.find m
3.finds
Answer:
x = 13°
Step-by-step explanation:
m<EGF + m< FGH = m<EGH
or, 3x+6+5x-7 = 103°
or, 8x-1 = 103°
or, 8x = 103°+1°
or, x = 104°/8
or, x = 13°
Now,
m<EGF = 3x+6
= 3×13+6
= 39+6
= 45
m<FGH = 5x-7
= 5×13-7
= 65-7
= 58
Solve for x.
(17x –23)
°
(8x –4)
°
(3x + 17)°
Answer:
=28x −10
Step-by-step explanation:
28x
The value of x will be;
⇒ x = 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
Now,
Solve the expression as;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
⇒ 17x - 23 = 8x - 4 + 3x + 17
⇒ 17x - 23 = 11x + 13
⇒ 17x - 11x = 23 + 13
⇒ 6x = 36
⇒ x = 6
Thus, The value of x will be;
⇒ x = 6
Learn more about the mathematical expression visit:
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Please help me solve this question will give you braisnlt !
Answer:
C
Step-by-step explanation:
In slope intercept form y=mx+b
m is your rate of change/ slope
since the slope is +5
This means that your rate of change, in this case elevation, is 5 feet per minute.
As for b which is your y intercept, the -30 can be represented by the point (0,-30) on a graph it would be -30ft below the x axis. Meaning that if the diver lets say is the point he is 30 feet below sea level and acsending at a rate of 5 feet per minute.