Let X be the random variable for the output of the machine. Transform X to a standard normal random variable Z, using the rule
Z = (X - µ)/[tex]\sigma[/tex]
where µ and [tex]\sigma[/tex] are the mean and standard deviation of X.
Pr[25 < X < 30] = Pr[(25 - 22)/4 < (X - 22)/4 < (30 - 22)/4]
… = Pr[3/4 < Z < 2]
… = Pr[Z < 2] - Pr[Z < 3/4]
… ≈ 0.9773 - 0.7734
… ≈ 0.2039
Based on the stated expectations of the sit-and-reach test, which of the following is TRUE?
A.
Men are generally more flexible than women.
B.
Women are generally more flexible than men.
C.
Men and women are about equally flexible.
D.
No broad conclusions can be drawn about flexibility.
Answer:
B
Step-by-step explanation:
2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work.
Answer:
Center = (-1, 1)
Radius = 3
Graphing form
(x + 1)² + (y - 1)² = 3²
General form
x² + y² + 2x - 2y - 7 = 0
Step-by-step explanation:
Center = (-1, 1)
Radius = 3
Graphing form
(x + 1)² + (y - 1)² = 3²
General form \Expand graphing form\
(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0
Rearrange
x² + y² + 2x - 2y - 7 = 0
Qu
Peter hired a cleaning company to clean his house. The cleaning company charges a
fixed fee of $15 plus $17 per hour to clean a house.
a. Write an equation that can be used to determine, c, the total amount in dollars that
the cleaning company charges to clean a house in h hours.
To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.
C = 17h + 15
(NO FILES OR LINKS OR RANDOM WORDS)
Answer:
Randomly selecting a six of diamonds - 1 / 52
Randomly selecting a 7, 8, 9 or 10 - 4 / 13
Step-by-step explanation:
There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.
There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52
4 + 4 + 4 + 4 = 16
16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10
The other ones are correct
5th grade math. correct answer will be marked brainliest
The answer is b
saddsadsadas
Answer:
B
Step-by-step explanation:
Cause he added 24.76 more pounds to the 3.6 pounds. So you can take 24+3=27 and you might think C, but 0.76+0.6 that equals more than 1, so 27+1=28, and B has 28 as its answer, so its B
B
2 4/5*1 1/12=
Help plz it’s for grade recovery
Answer:
3.03 (if you're rounding to nearest hundredth, 3 if nearest whole/tenth.
In the diagram below, xy and z are tangent to 0. What is the measure of XZ?
Answer:
A. 130°
Step-by-step explanation:
Answer:130
Step-by-step explanation:
I just finished the quiz :)
please help, no links
Answer:
150
Step-by-step explanation:
Remark
The exterior angle = the sum of the two given interior angles. The first job is to solve for x and then use that to find the exterior angle.
Equation
83 + 6x + 7 = 15x
Solution
Combine like terms
90 + 6x = 15x Subtract 6x from both sides.
6x 6x
90 = 9x Divide both sides by 9
90/9 = 9x/9
x = 10
Now the exterior angle = 15x
Exterior angle = 15*10
Exterior angle = 150
I think it’s 393.75 But not Sure can anyone confirm ? Or share the right answer
Answer:
$415.63
Step-by-step explanation:
it would have been 393.75, but he worked 5 hours overtime and got paid time and a half for it, meaning his normal pay plus half of it. (only for overtime tho).
so first calculate his normal pay:
40 × 8.75 = 350
then add overtime to it
8.75 × 5 = 43.75
43.75 × 1.5 = 65.625
65.625 + 350 = 415.625
round that and its 415.63!
How many solutions does this system have?
Answer: One
Step-by-step explanation: Recall that intersecting lines have one solution and therefore the system is consistent. Because the lines are not the same, the equations are independent.
Evaluate each series.
Help pls 50 points
Answer:
1. 2,555
2. 23.25
Step-by-step explanation:
1. 5+10+20+...
S9 = 5(2^9-1)/(2-1)
= 5(511) = 2,555
2. 12+6+3+1.5+0.75 = 23.25
Giving brainliest ; What is the mean of the data set? {20,1,14,14,9,8} Enter your answer in the box.
Answer:
11
Step-by-step explanation:
(20 + 1 + 14 + 14 + 9 + 8) / 6
= 66 / 6
= 11
I will go potty now thx
write the percent of each figure
that is shaded.
Answer:
1. 21% 2. 70%
Step-by-step explanation:
1. 21 out of 100 are filled in
2. 7/10 are filled in
Hurry. !!! The formula A = 6s' gives the surface
area A of a cube with a side length s.
What is the surface area of a cube that
has a side length of 5 inches?
A. 25 square inches
B. 125 square inches
C. 150 square inches
D. 300 square inches
What positive integer is closest to the value of the square root of 230 ?
9514 1404 393
Answer:
15
Step-by-step explanation:
Your calculator can tell you √230 ≈ 15.17. The closest integer is 15.
__
If you have memorized the squares of small integers, you know that 15² = 225 and 16² = 256. 230 is closer to 225 than to 256, so √230 will be closer to 15.
Matthew has a bag that contains orange chews, cherry chews, and lime chews. He
performs an experiment. Matthew randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Matthew performs the experiment 24
times. The results are shown below:
A orange chew was selected 10 times.
A cherry chew was selected 11 times,
A lime chew was selected 3 times.
Answer: 13/24
Step-by-step explanation:
The experiment occurred 24 times orange or lime was selected 10+3=13
Probability the next chew will be orange or lime: 13/24
A bag contains eight white marbles, six red marbles and four blue marbles.
How many blue marbles must be added to the bag so that the probability
of choosing a blue marble is 1/2?
a. 6
b. 5
c. 10
d. 0
Answer:
c) 10
Step-by-step explanation:
you need to add the white and red marbles which would be 14.
then you subtract 14 by the amount of blue marbles.
Solve for X (round to the nearest hundred)
Step-by-step explanation:
We use tangent because it uses opposite over adjacent.
So,
tan 33 = x/46
or
46 * tan 33 = x
Type this into the calculator and you get around 29.87
Help me guys find the solution please and thank you
4x+17=23
Find the surface area and volume of the figure. Round to the nearest tenth.
Jovi distributed 3(n+2) and got 3 x n + 3 x 6 is his answer correct
Answer:
Step-by-step explanation:
since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and
3n + 6
next subtract the 6 and add the 6 to the other side
3n - 6 = 6
3n = 6
n = 2
Which angle has a positive measure?
Answer:
what angles
Step-by-step explanation:
i do not see anything to solve
Find the distance of the two given points (1,5) and (4,10)
Answer:
5.831
Step-by-step explanation:
Distance between both given points=Lenght=5.831
which equation is not a linear function:
y=2x
y=x+2
y=x-2
y=x²
Answer:
Step-by-step explanation:
A linear equation can be written in the form
y = mx+b.
y = x² is not linear.
what is AC? pls help 30 points if u awnser
Answer:
C. 6
Step-by-step explanation:
ΔADC and ΔACB are similar because two of their angles are congruent (∠ACD and ∠ABC, and ∠DAC and ∠CAB)
Because the sides are similar, you can create a proportion
[tex]\frac{AC}{AD}=\frac{AB}{AC}[/tex]
substitute the given values for the sides. AD=4 and AB=4+5=9
[tex]\frac{AC}{4}=\frac{9}{AC}[/tex]
cross multiply
[tex]AC^{2} =36[/tex]
take the square root of both sides
AC=6
Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
What is Tarah's new total balance?
Answer:
$258.48
Step-by-step explanation:
Find indicated side of right triangle 45 percent 7
Answer:
a = 7
b = 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
in a 45-45-90° triangle, the length of legs to hypotenuse is 1 : [tex]\sqrt{2}[/tex]
Solve for x.
x + 2 over 4 = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x +2}{4}=8}[/tex]
[tex]\large\textsf{MULTIPLY 4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{x +2}{4}\times4=8\times4}[/tex]
[tex]\large\textsf{CANCEL out: 4}\times\large\textsf{4.}[/tex]
[tex]\large\textsf{KEEP: 8}\times\large\textsf{4 because it helps you solve for x}[/tex]
[tex]\mathsf{8\times4=\bf 32}[/tex]
[tex]\large\text{New equation: \textsf{x + 32 = \bf 32}}[/tex]
[tex]\large\textsf{x + 2 = 32}[/tex]
[tex]\large\textsf{SUBTRACT 2 to BOTH SIDES}[/tex]
[tex]\mathsf{x +2-2=32-2}[/tex]
[tex]\large\textsf{CANCEL out: 2}-\large\textsf{2 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 32}-\large\textsf{2 because that helps you solve for x}[/tex]
[tex]\large\textsf{New EQUATION: \mathsf{x = 32 - 2}}[/tex]
[tex]\mathsf{x = 32 - 2}[/tex]
[tex]\large\textsf{Simplify above and you have your result to this equation}[/tex]
[tex]\mathsf{32-2=\bf 30}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x =30}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
find 3 rational numbers between 1/3 and 1/2