Answer:
3x-721/44 over 7
Step-by-step explanation:
1)Combine multiplied terms into a single fraction
2)Multiply the numbers
3)Subtract the numbers
4)Find common denominator
5)Combine fractions with common denominator
6)Multiply the numbers
7)Rearrange terms
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips,
style of car and other features. The distribution of the number of months in service for the fleet of cars is
bell-shaped and has a mean of 63 months and a standard deviation of 11 months. Using the 68-95-99.7 rule,
what is the approximate percentage of cars that remain in service between 30 and 52 months?
Do not enter the percent symbol.
ans =
%
This value is approximate.
====================================================
Explanation:
mu = 63 = population meansigma = 11 = population standard deviationLet's convert x = 30 to its corresponding z score
z = (x-mu)/sigma
z = (30-63)/11
z = -33/11
z = -3
This score is 3 standard deviations below the mean.
Repeat for x = 52
z = (x-mu)/sigma
z = (52-63)/11
z = -11/11
z = -1
This score is 1 standard deviation below the mean.
The task of finding P(30 < x < 52) is the same as P(-3 < z < -1)
We converted to z scores so we could use the Empirical Rule.
Refer to the chart below. We'll be focusing on the left green portion that is between z = -3 and z = -2 and the left blue portion which is between z = -2 and z = -1.
Those two approximate areas add to: (2.35%) + (13.5%) = 15.85%
Find the midpoint of the line segment with end coordinates of: ( 2 , 0 ) and ( 8 , 8 )
Answer:
mid point is (1, 8)
Step-by-step explanation:
[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]
x1 is 2
x2 is 0
y1 is 8
y2 is 8
[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]
Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is years old. Harvey is years old.
Answer:
Jane is 12 years old.
Harvey is 36 years old.
Step-by-step explanation:
The explanation is attached.
What would the value of a equal so the linear function ay - 2x = 9 is parallel to a line with a slope of 2/3?
Answer:
y = [tex]\frac{2}{3} x + 9[/tex]
Step-by-step explanation:
I. If y = mx + b
when y is output, x is input , m is slope and b is addition
so y - 2x = 9
y = 9 + 2x
y = 2x + 9
Replace 2 with [tex]\frac{2}{3}[/tex]
y = [tex]\frac{2}{3} x[/tex] + 9
Answer:
a is 3
Step-by-step explanation:
[tex]ay - 2x = 9 \\ ay = 2x + 9 \\ y = \frac{2}{a} x + \frac{9}{a} [/tex]
General equation:
[tex]{ \bf{y = mx + c}}[/tex]
m is slope; m = ⅔
by comparison:
[tex] \frac{2}{3} = \frac{2}{a} \\ \\ 2a = 6 \\ a = 3[/tex]
smallest to largest. 14/5, 2.4, 2 1/3, 1.41
Select the following statement that describes overlapping events.
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond
B. Amanda rolls a three when she needed to roll an even number
C. Amanda understands that she cannot get a black diamond when playing poker
D. Amanda wants a black card so she can have a winning hand, and she receive the two of hearts
Answer:
Step-by-step explanation:
Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.
The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
What are overlapping events in probability?Events that share one or more outcomes are said to be overlapping events.
How to solve the question?In the question, we are asked for the statements from the given options that describe overlapping events.
To check for overlapping events, we analyze each option as follows:-
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond. The receiving of a jack of diamond shows an overlapping event, with the overlapping of the events of getting a jack and getting a diamond.B. Amanda rolls a three when she needed to roll an even number. The rolling of a three when the requirement was to roll an even number doesn't show an overlapping event as three doesn't fall in even numbers.C. Amanda understands that she cannot get a black diamond when playing poker. The event of getting a black diamond is not overlapping as black cards are spades and clubs, and not diamonds.D. Amanda wants a black card so she can have a winning hand, and she receives the two of hearts. The event of receiving two of hearts when the requirement was of a black card is not an overlapping event as two of hearts is not a black card.Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
Learn more about overlapping events at
https://brainly.com/question/17253921
#SPJ2
Raquel is cutting out pieces of cardboard to make a pyramid. She will use a square piece for the base and identical triangular pieces for the sides. The figure above shows the dimensions of the triangle for each side. What will be the total surface area, in square inches, of the pyramid, including the square base?
Answer:
340 inch²
Step-by-step explanation:
Side of the square is equal to the base of the triangle.
Area of square base
= side²
= (10 inch)²
= 100 inch²
Area of each triangle
= ½ × base × height
= ½ × 10 inch × 12 inch
= 10 inch × 6 inch
= 60 inch²
So, area of 4 triangles used
= Area of each triangle × 4
= 60 inch² × 4
= 240 inch²
Total surface area of pyramid
= Area of square base + area of 4 triangles
= 100 inch² + 240 inch²
= 340 inch²
Multiply v (5,-4) by u (-8,7)=
multiply x with x:
5×-8= -40
multiply y with y:
-4×7=-28
Answer:
(-40,-28)
Calculate area and round to nearest tenth.
What is the solution to this system of equations
Write down a multiple of 4 between 29 and 37 ?
Answer:
8 or 9
Step-by-step explanation:
4 times 8 equals 32, and 4 times 9 equals 36
Sam is saving digital copies of his movies on his computer. Right now, 270 movies take up 486,270 kilobytes. If each movie takes up the same amount of kilobytes, how many kilobytes does each movie take up?
A.
3,602
B.
1,531
C.
2,071
D.
1,801
How do i solve this?
Answer:
1.-4
2.7
3.-11
4.18
5.13
Step-by-step explanation:
0-4=-4
-2+9=7
-2-9=-11
5+13=18
-10+23=13
The graph of the invertible function h is shown on the grid below.
What is the value of h^-1 (-1)?
Answer:
1
Step-by-step explanation:
[tex]h {}^{ - 1} ( - 1)[/tex]
means that what is the value of the inverse function of h(x) when x=-1. The inverse function x and y values swap with original functions. When x=1, y=-1 so the inverse of that will be when x=-1, y=1.
Applying the inverse function concept, it is found that [tex]h^{-1}(-1) = 1[/tex]
The inverse function [tex]f^{-1}(x) = a[/tex] means that [tex]f(a) = x[/tex].
In this problem, it is asked [tex]h^{-1}(-1)[/tex].
From the graph, it is taken that at the original function, when [tex]x = 1, y = -1[/tex], hence [tex]h(1) = -1[/tex].Then, applying the inverse function, we have that [tex]h^{-1}(-1) = 1[/tex], and thus 1 is the value of the inverse function.A similar problem, also involving inverse functions, is given at https://brainly.com/question/23950969
Instructions
Solve the following problem and choose the best answer.
Question
Which of the following points (x,y) lies on the graph of 8x + 2y = 24?
0 (-1, 8)
O (2,8)
O (6.-12)
O (8, 2)
Answer:
O (6, -12)
Step-by-step explanation:
For 8x + 2y = 24, the point (6, -12) lies in the graph.
distinguish between the constant difference and constant ratio :use examples for each co concept
Constant difference ..refers to the idea that the difference between two numbers does not change after adding or subtracting the same quantity to both numbers..
connstant rario .means that youe ratio is the same all points
Step-by-step explanation:
When you have points with a constant ratio, it means that your y:x or x:y ratio is the same for all points. .
Constant difference could have been thought of as 52-19 = 53-20 or as 52-19 = 50-17, a similar problem that maintains the same difference between the larger and smaller values.
which of these is right
Answer:
A
Step-by-step explanation:
For each point along it goes 1 point up, if it was 4x it'd go 4 points up
58 round of to the nearest 10
Answer:
58 to the nearest ten is = 60
Answer:
Here is your answer ⤵️
58 rounded to the nearest tens is 60.
Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1
The expression for the perimeter of the rectangle is 63.2x - 14.6.
Given that,
Width = W = 24.6x - 10.4Length = L = 7x + 3.1We Know that
Perimeter of the rectangle is
[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]
= 63.2x - 14.6
Here the above formula should be applied for measuring the perimeter of the rectangle.
Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.
Learn more about the rectangle here: brainly.com/question/16167300
Answer:
24.3
Step-by-step explanation:
First you solve the sides:
24.6-10.4 =14.2
7+3.1=10.1
After that ,you will add because perimeter is adding up the side lengths of various shapes.
14.2+10.1=24.3
What is the equation of the line that passes through the point ( − 4 , 8 )and has a slope of − 1/4
Answer:
y = -1/4x + 7
Step-by-step explanation:
Plug in the point and slope into y = mx + b, and solve for b:
y = mx + b
8 = -1/4(-4) + b
8 = 1 + b
7 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = -1/4x + 7
So, the equation of the line is y = -1/4x + 7
calculate the highest common fac for it to the following 4 45, 6 o and is
Answer:
The greatest common factor is 1
Step-by-step explanation:
The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 1.
A scientist removed a sample of 39.1 grams of a chemical from a container. The sample was 5 3/4 grams less than 3/10 of the total mass of the chemical in the container. What was the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams. show work please.
The first thing we must do for this case is to define variables:
x: the total mass of the chemical in the container
y: a sample of a chemical from a container
We have the following equation:
y = (3/10) x - 5 3/4
Then, for y = 39.1 we have:
39.1 = (3/10) x - 5 3/4
Clearing x:
(3/10) x = 39.1 + 5 3/4
(3/10) x = 44.85
x = (10/3) * (44.85)
x = 149.5 grams
Answer:
the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:
x = 149.5 grams.
y+5=3/2(x-7) write in y=mx+b form
Answer:
[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Notice how y is isolated in slope-intercept form.
[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]
To change this into slope-intercept form, isolate y.
Use the distributive property on the parentheses:
[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]
Subtract 5 from both sides:
[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
I hope this helps!
Jennifer had a headache and was told she was given a name brand medicine but it was really a sugar pill. Three hours later she was asked if she feels better, and she agreed she did.
What does the placebo effect mean in this specific situation?
a.) The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).
b.) Jennifer received the benefit from the treatment since she also took a nap.
c.) The benefit is the fact that Jennifer received the treatment (pill, although only a sugar pill) and it contains another active ingredient.
d.) The benefit is that Jennifer was given the control (pill, although only a sugar pill) and not the active ingredient (cough medicine).
Answer: A
Step-by-step explanation:
There was no active ingredient in the pill but Jennifer thought her headache went away . This is what is required for a placebo effect.
The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).
Jennifer will think that she is taking medicine and will get satisfy after having it. What is placebo effect?The placebo effect is when a person's physical or mental health appears to improve after taking a placebo or dummy treatment.The effects of the active drug or other intervention are compared to the effects of the placebo.Even though a placebo has no active ingredients to cause a positive effect, it can still make a patient feel better.To know more about placebo effect here
https://brainly.com/question/5069588
#SPJ3
Solve the system of equations by substitution
5x +y = 36
y = 4x
Step-by-step explanation:
The answer is mentioned above.
What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?
(50 points) please i beg xoxoxo
Answer:
the answer is that one tells about nomadic responses
while the other talks about seramic responses
Determine whether each is rational or not rational.
pi is not a rational number.
decimals is also not a rational number.
whole number is rational number.
5. You are traveling along at 27 meters per second when you notice a stop light ahead, you deceleration to 0m/s
in 3 seconds. What is your acceleration?
Step-by-step explanation:
initial velocity= 27
final velocity= 0
time = 3 sec
now
a= 0-27/3
a=-9 m/s^2
The sum of two and four and six times eight?
Answer:
2+4 6(8)
Step-by-step explanation:
pls give brainliest
Answer:
2+4=6/6×8=48
hope this helped
find the distance between the two points rounding to the nearest tenth (if necessary) (6, 5) and (-3, -7)
Answer:
15 units
Step-by-step explanation:
that is the answer yep
Answer:
9.2
Step-by-step explanation:
it said it