Answer:
2,1
Step-by-step explanation:
The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?
Answer:
The probability is [tex]P(900 < X < 1100) = 0.358102[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 1130[/tex]
The standard deviation is [tex]\sigma = \$ 150[/tex]
Generally the probability that the gas bill will be between $900 and $1100 is mathematically represented as
[tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]
=> [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]
So
[tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]
[tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]
From the z table
[tex]P(Z < -0.2 ) = 0.42074[/tex]
and
[tex]P(Z < -1.533) = 0.062638[/tex]
So
[tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]
=> [tex]P(900 < X < 1100) = 0.358102[/tex]
Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?
Cups of Flour Mini-Loaves
2 5
3 7.5
4 10
10 □
If m<5=63°, find the measure of <3.
Answer:
angle 3's measurement should be 117 degrees
hope this helps :)
The measure of angle 3 is 117 degrees.
Calculation of an angle:In terms of geometry, an angle refers to the figure i.e. credited by two rays that should be met out at a common endpoint. An angle should be presented by the symbol ∠.
Since the angle 5 is 63 degrees
and, the total of two angles is 180 degrees
So, the angle 3 is
= 180 - 63
= 117 degrees
hence, The measure of angle 3 is 117 degrees.
learn more about an angle here: https://brainly.com/question/11508323
0.3 km are in how many miles?
Answer:
There are 0.186411 miles in 0.3 km.
HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest
14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35
21. explain how to compare 0.7 and 5/8
Answer:
14: 1/5, 0.35, 12/25, 0.5, 4/5
17: -2 4/5,-2.6, -2.3
18: -6.0, -0.72, -5/8, -7/12
19: 1.2, 1 1/3, 1.45, 1 1/2
20: -3.0, -0.35, 0.5, 0.55
Fraction Into Decimal:
14: 1/5=0.2, 12/25=0.48, 4/5=0.8
17: -2 4/5= -2.8
18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)
19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)
Explanation:
To start with, you need to convert the fractions into decimals in order to compare them easier
Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line
Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.
Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answer:
$60
Step-by-step explanation:
You have to divide 180 by 3 to get the cost per hour :)
7) Compare the ratios of the corresponding sides to prove or disprove that the polygons are similar.
Answer:um thers no picture
Step-by-step explanation:
x3y2-1/4x please solve it fast
Answer:
(x,y) = (0, 1/3)
Step-by-step explanation:
[1] 2x + 3y = 1
[2] 4x - 6y = -2
Graphic Representation of the Equations :
3y + 2x = 1 -6y + 4x = -2
Solve by Substitution :
Solve equation [2] for the variable x
[2] 4x = 6y - 2
[2] x = 3y/2 - 1/2
Plug this in for variable x in equation [1]
[1] 2•(3y/2-1/2) + 3y = 1
[1] 6y = 2
Solve equation [1] for the variable y
[1] 6y = 2
[1] y = 1/3
By now we know this much :
x = 3y/2-1/2
y = 1/3
Use the y value to solve for x
x = (3/2)(1/3)-1/2 = 0
how are you supposed to multiply fraction?
22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwithout any food left over.A)What is the greatestnumber of plates Lenin can prepare?B)How many pieces of chicken and rolls will there be in eachplate?
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = [tex]\dfrac{12}{4}=3[/tex]
The number of pieces of rolls in each plate = [tex]\dfrac{16}{4}=4[/tex]
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
What is 5.336 rounded to the nearest tenth of an ounce?
Answer:
5 because its a 3 so you cant round up so you round down.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped
The original blueprint of a concrete patio has a scale ofmath2inches=3feet. Victoria wants to make a new blueprint of the patio with alength of 16.8 inches. PART A What is the scale for the new blueprint? math 1inch= feet PART B What is the width, in inches, of the blueprint with the new scale?
Complete question :
the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?
Answer:
2.5 fts, 14.4 fts
Step-by-step explanation:
Given that:
Scale of original blueprint : 2inches = 3 feets
To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :
Original scale : 2 inches = 3 feets
Original blueprint length = 14 inches
Then,
2 inches = 3 feets
14 inches = d
Cross multiply :
2d = 42
d = 21 feets
Hence, new scale for blueprint :
16.8 inches = 21 feets
2 inches = d
16.8d = 42
d = 2. 5 feets
For the width :
14 inches = 16.8 feets
12 inches = w
14w = 201.6
w = 201.6/14
Width = 14.4feets
Help pls i don’t wanna get a bad grade :(
Answer:
the answer is d
Step-by-step explanation:
because the time x(sec) is 10 and all the way down and the height y(ft) is 40 and all the way down also because if you keep mulitplying you get the answer for d like 20 X 5 = 40 and 5 X 2= 10
HOPE THIS HELPS :) :) HAVE A NICE DAY
which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?
Answer: I think it is (-4,0)
Step-by-step explanation:
Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).
Answer:
B) A rotation of 270° about the origin.
B) (-4, 0)
D) (-2, -5)
C) X' (-2, -6) and Y' (3, -1)
C) 280°
C) 8
B) A rotation of 180° about the origin.
B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.
D) X' (6, -2) and Y' (1, 3)
C) (0, -30)
Brainliest plsssssss
Need help really confusing
Triangle LMN is similar to triangly XYZ. What is the length of YX?
Answer:
The same length as XY
Step-by-step explanation:
If they are similar, they are basically the same ;)!
Hope this helped!
Have a nice day!
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Pls consider marking my answer as Brainliest! It would mean a lot!
If you are given the graph of a line and are asked to write the equation of a
perpendicular line, does it matter what the y-intercept will be for the equation
you write? Explain why or why not.
Answer:
Yes
Step-by-step explanation:
It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.
Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.
According to the question;
We are required to determine; does it matter what the y-intercept will be for the equation you write when given the graph of a line and are asked to write the equation of a perpendicular line.Although, according to line geometry;
The slope of two perpendicular lines are related as follows;
m1 m2 = -1The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.
Read more;
https://brainly.com/question/13370039
Round 7.3065 to 2 decimal places
Answer:
im pretty sure its 7.31
Write the equation
“the quotient of a number and 2, increased by 9 is -15”
Use n as a variable and do not put any spaces
Answer:
[tex]\frac{n}{2}+9=-15[/tex]
I hope this helps!
List the following in order from least to greatest 20,2-2,(-2)2,-22
Answer:
(-22) ,- (2)2 , 2-2 , 20
Step-by-step explanation:
negative then postive
20
2-2=0
(-2)*2=(-4)
-22
hope this helps :)
brainliest?
A fertilizer covers 3/4 square foot in 1/2 hour. how much square feet does the fertilizer cover per hour?
Answer:
1 1/2 square foot
Step-by-step explanation:
3/4 + 3/4 = 6/4
6/4= 1 2/4
1 2/4= 1 1/2
Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?
Answer: 2
Step-by-step explanation:
Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.
If they want to pack one genre of book in each box such that they pack same number of books in each box.
Then, the greatest number of books Barnes and Noble can pack in each box
= GCD(14,12,8)
Since, 14 = 2 x 7
12 = 2 x 2 x 3
8 = 2 x 2 x 2
GCD(14,12,8)=2
Hence, the greatest number of books Barnes and Noble can pack in each box = 2
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in interest on the account.
No other money was deposited into or withdrawn from the account.
How much was her initial deposit?
Answer: If the time is 3 1/2 years (most reasonable assumption)
Her initial deposit was $160
Step-by-step explanation: The basic formula for simple interest is
i = prt i is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.
For this question, you have to rearrange the equation to solve for p.
So divide both sides by rt and you have
p = i/rt
Substitute the values given
p = 36.40/(0.065)(3.5)
Answer: $160.00
Step-by-step explanation: Answer confirmed on test
Use the given line and the point not on the line to
answer the question,
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
O (-3.6,0)
O (-2, 0)
O (0, -3,6)
O (0, -2)
Answer:
It's the third one, (0,-3.6)
Step-by-step explanation:
If I invest 100$ into a savings account at a 3% interest can I afford my item in 10 years my item is 999.99
Answer:
Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.
Step-by-step explanation:
HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?
Answer:
x = 0
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Given
[tex](2^{6}) ^{x}[/tex]
= [tex]2^{6x}[/tex]
The only way for this to equal 1 is for x to be zero
Thus x = 0
It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. a. Identify the variables in this relationship and indicate which would be the independent variable and which would be the dependent variable.
Answer:
We want to write the cost equation for the company.
First, we know that:
It cost $20 per box.
There is a fixed cost of $2300.
Then the only variable will be the number of boxes that they make.
Where the number of boxes is the independent variable (the company can decide the number of boxes that they make) and the dependent variable will be the cost (the cost changes as the number of boxes change).
Then we can write the cost equation as:
C(x) = $20*x + $2300.
Where x is our variable, the number of boxes made by the company.
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less
Answer:
The task times is [tex]x =90.77 \ s[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 110 \ sec[/tex]
The standard deviation is [tex]\sigma = 15 \ sec[/tex]
Generally the task times that qualify individuals for such training is mathematically represented as
[tex]P(X < x) = 0.10[/tex]
=> [tex]P(X < x) = P( \frac{X - \mu}{\sigma } < \frac{x - 110}{15} ) = 0.10[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of X )[/tex]
=> [tex]P(X < x) = P( Z < \frac{x - 110}{15} ) = 0.10[/tex]
Generally the z -score of 0.10 from the z-table is
[tex]z -score = -1.282[/tex]
So
[tex]\frac{x - 110}{15} = -1.282[/tex]
=> [tex]x =90.77 \ s[/tex]
who does gymnastics?
answer if you do only
ME!!! I have to because of volleyball and track practicing
Help me please I need to answer this