Answer:
a) 0.11277
b) 0.83253
c) 0.67364
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
Mean = $109.55.
Standard deviation = $21.00.
a) What proportion of bills are greater than $135?
z = (x-μ)/σ
z = 135 - 109.55/21
= 1.2119
Probability value from Z-Table:
P(x<135) = 0.88723
P(x>135) = 1 - P(x<135) = 0.11277
The proportion of bills are greater than $135 = 0.11277
(b) What proportion of bills are between $84 and $143?
For x = $84
z = (x-μ)/σ
z = 84 - 109.55/21
= -1.21667
Probability value from Z-Table:
P(x = 84) = 0.11187
For x = 143
z = (x-μ)/σ
z = 143 - 109.55/21
= 1.59286
Probability value from Z-Table:
P(x = 143) = 0.9444
The proportion of bills are between $84 and $143
= P(x = $143) - P(x = 84)
= 0.9444 - 0.11187
= 0.83253
(c) What is the probability that a randomly selected household had a monthly bill less than $119?
For x = $119
=119 - 109.55/ 21
= 0.45
Probability value from Z-Table:
P(x<119) = 0.67364
The probability that a randomly selected household had a monthly bill less than $119 is 0.67364
I need the answer plzz
Answer:
25
Step-by-step explanation:
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The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?
x = measure of the angle
180 - x = measure of supplement {supplementary angles add up to 180}
x = 74(180 - x) {measure of the angle is 174 times the supplement}
x = 13,320 - 74x {used distributive property}
75x = 13,320 {added 74x to each side}
x = 177.6 {divided each side by 177.6}
the angle is 177.6
the supplement is 2.4
The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.
The force of the rope is equal to the negative of the tension on the rope and the force of gravity.
Which table shows the values when combining the functions to find the force of the rope?
Answer:
B
Step-by-step explanation:
To answer this question, we can just pick a couple of points and see which table gives the correct values.
Test Value 1)
Let's let m be 0.5.
So, our output will be:
[tex]-(T(0.5)+G(0.5))[/tex]
From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:
[tex]=-(1.25+4.9)[/tex]
Add:
[tex]=-6.15[/tex]
So, when m is 0.5, our output should be -6.15.
The only choice that does this is B. So, B is our correct answer!
However, let's do another test point just to confirm.
Test Value 2)
Let's let m be 1.2.
So, our output will be:
[tex]-(T(1.2)+G(1.2))[/tex]
From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:
[tex]=-(3+11.76)[/tex]
Add:
[tex]=-14.76[/tex]
The only choice that does this is B. So, we are confident that B is our answer.
And we're done!
Answer:
B
Step-by-step explanation:
When solving a multi-step equation, which number do you "undo" first? Choose ONE answer.
A. The number on the opposite side of the equals side from the variable
B. The number furthest from the variable (but on the same side of the equals sign)
C. order doesnt matter - choose which you want to do first
D. the number touching the variable
Answer:
C. Order doesnt matter - choose which you want to do first
Step-by-step explanation:
When solving multi step equations, there are different steps that can be followed depending on the nature of the equation. There could be variables on only one side or both sides of the equation and that can affect the order of operations. Thus, there is no standard order.
For example let's consider the equation;
7y + 6 = 2y + 16
Now,we can see there are variables on both sides, so the first step would be either to take the constants to one side first or to take the unknown variables to one side.
Whereas, in another example say;
5x - 3 = 7
The only option here is to take the constant on the left side to the right side.
There are other examples where we may have to carry out a division of all terms as the first step. In some other cases, there may be brackets, we need to get rid of as the first step.
Thus, there is no standard order and as such we choose which order we want to use based on the nature of the equation.
You own your own bakery. In the cooler you have 3 chocolate cakes and 4 vanilla cakes. In the warmer you have 1 pumpkin pie, 5 apple pies and 3 blueberry pies. What is the ratio of pies to cake you have available?
Answer: You have 9 cakes for every 7 cakes. I hope this helps!
Explanation: You add up everything on both sides to get your answer!
Answer: yes and it is yes sisiwfereffffffffffffr
What is the value of (x2+ y 2) + 2 when x = 4 and y = 6?
Answer:
22
Step-by-step explanation: put the four where the x is and multiply it by two and you get 8. Do the same with 6 where the y is and you get 12. add those two together and you get 20. The add the two out of the perentesis and get 22. (brainlist plz)
Answer two questions about Equations A and B:
A.
42 +2 = 6 - 2
B.
52 + 2 = 6
1) How can we get Equation B from Equation A?
Choose 1 answer:
Answer:
B. Add/subtract the same quantity from both sides.
in this case, it would be adding x to both sides to simplify the equation.
Answer: ADD/SUB THE SAME QUANTITY TO/FROM BOTH SIDES
YES: THEY ARE EQUIVALENT
Step-by-step explanation:
what is an equation of the line that passes through the point (8,2) and is parallel to the line 5x-4y=36
Answer:
y=5/4x-8
Step-by-step explanation:
put ito slope intercept form and then using the slope put y intercept in order for it to be true
The required equation of line will be y = 1.25x - 8.
It is given that a line passes through a point (8,2) and is parallel to the line 5x - 4y= 36.
We have to find out the equation of the line.
What is the general equation of a line ?
The equation of a line is y = mx + c , where m = slope of line.
As per the question ;
The line is parallel to another line 5x -4y = 36.
∴ 5x - 4y = 36
4y = 5x - 36
diving by 4 on both sides ;
y = (5/4)x - (36/4)
y = 1.25x - 9
After comparing with the general equation of a line y = mx + c. We found that value of slope m = 1.25.
So, the parallel line will have the same slope.
∴ y = 1.25 x + c
As the line passes through point (8,2) , hence x = 8 and y =2. After putting this value in the above equation we get ,
2 = 1.25 × 8 + c
∴ c = 2 - 10 = - 8
c = - 8
And the final equation of the line will be ,
y = 1.25 x - 8.
Thus , the required equation of line will be y = 1.25x - 8.
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WHAT DOES HIT IT FROM THE BACK MEAN?
Step-by-step explanation:
hit the what now . wut that ;-;
You buy 3.18 pounds of pears, 1.45 pounds of oranges , and 2.79 pounds of peaches what is your total bill
pears-0.99 per pound
oranges-1.19 per pound
peaches-1.29 per pound (round to the nearest cent)
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Step-by-step explanation:
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Ratio of dolls to teddy bears is 6:5. There are 240 dolls, how many teddy bears?
Answer:
nusfj
Step-by-step explanation:
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The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width of the garden. Round answers to the nearest tenth of a foot. Show all work.
Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.
This is due soon solve asap please.
Answer:
Home to school through mall: 11 miles
Home to school through theater: 13 miles
Step-by-step explanation:
The route from home to school that passes the mall is x + 1 + x + 2 = 2x + 3.
The route from home to school that passes the theater is 2x + 1 + x = 3x + 1.
The route from home to school that passes the mall is 2 miles shorter than the route that passes by the theater.
2x + 3 = 3x + 1 - 2
2x + 3 = 3x - 1
-x = -4
x = 4
Home to school through mall:
2x + 3 = 2(4) + 3 = 11
Home to school through theater:
3x + 1 = 3(4) + 1 = 13
Answer:
Home to school through mall: 11 miles
Home to school through theater: 13 miles
A) 7.746
B) 37.947
C) 30.984
D) 33.941
9514 1404 393
Answer:
B) 37.947
Step-by-step explanation:
Using the given formula, we find ...
s = (12 +11 +7)/2 = 15
A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards
how to solve this problem 3x+5=2x+1
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = 2x + 1
Reorder the terms:
5 + 3x = 2x + 1
Reorder the terms:
5 + 3x = 1 + 2x
Solving
5 + 3x = 1 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
5 + 3x + -2x = 1 + 2x + -2x
Combine like terms: 3x + -2x = 1x
5 + 1x = 1 + 2x + -2x
Combine like terms: 2x + -2x = 0
5 + 1x = 1 + 0
5 + 1x = 1
Add '-5' to each side of the equation.
5 + -5 + 1x = 1 + -5
Combine like terms: 5 + -5 = 0
0 + 1x = 1 + -5
1x = 1 + -5
Combine like terms: 1 + -5 = -4
1x = -4
Divide each side by '1'.
x = -4
Simplifying
x = -4
Answer:
x = -4
Step-by-step explanation:
To solve the given equation, we must find a value of x that satisfies the equation.
3x + 5 = 2x + 1
Subtract 2x from both sides.
x + 5 = 1
Subtract 5 from both sides.
x = -4
So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.
I hope you find my answer and explanation to be helpful. Happy studying.
Isabel bought a suit on sale for $561. This price was 34% less than the original price.
What was the original price?
Answer:
751.74
Step-by-step explanation:
561*.34=190.74
561+190.74=751.74
Answer
The suit being 27% less than the original also means he paid 73% of the original price (x). So,
0.73x=561
x=561/0.73
x=409.53
Original price was 409.53. Fancy suit. Step-by-step explanation:
there you go...
A. Describe how each student might have reached his or her conclusion. Is each student’s conclusion valid? Explain.
Answer: Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.
Step-by-step explanation:
How is 24/27 written as a fraction
Answer:
twenty-four and twenty-sevenths
Step-by-step explanation:
in need the proofs and statements
Answer:
Since we are given that angle Y = angle Z
The magnitude of the angles will also be equal
∠Y = ∠Z
(x + 10) = (2x - 90)
90 + 10 = 2x - x
100 = x
Solve for the variable: x – 12 = 3
Answer:
x=15
Step-by-step explanation:
add the 12 to the other side
x-12=3
and you will get 15
x=15
Graph the inequality: y
6.) The length of a rectangle is 19 feet longer than the width. If the perimeter is 46
feet, write an equation for this scenario where "x" represents the width.
Step-by-step explanation:
The perimeter can be expressed as
P=2L+2W
let the width be x
W=x
L=x+19
perimeter P=46ft
Therefore substituting and solving for x we have
46=2(x+19)+2x
46=2x+38+2x
46=2x+2x+38
46-38=4x
8=4x
x=8/4
x=2
the width is 2
the lenght = 2+19=21
1.7(k - 0.3) = 6.7k = 32.01
2x4–5x3+x2+3x+2 for: x=-5
Answer:
667
Step-by-step explanation:
2x^4–5x^3+x^2+3x+2
2(5)^4 -5(5)3+5^2+3*5+2
2*625 - 5*125+25+15+2
1250-625+25+15+2
625+42
667
write the prodect 7 times 7 times 7 times 7 in exponential form
Answer: 7⁴ I believe
there are 11 oranges, 6 apples, 9 bananas and 13 peaches on the table, what is the probability picking an orange
Answer:
11 out of 39
Step-by-step explanation:
Answer:
\frac{11}{39}
39
11
Step-by-step explanation:
There are 39 fruits in all.
11 + 6 + 9 + 13= 3911+6+9+13=39
Therefore, there would be 39 total events.
There are 11 preferred events, as there are eleven oranges out of the 39 fruits.
\frac{preferred}{total} =\frac{11}{39}
total
preferred
=
39
11
So, there should be a 11/39 chance that a person would pick an orange.
\frac{11}{39}
39
11
is already in it's lowest terms
F is between E and G. Find FG if EG = 25, EF= 2x – 6 and FG = 4x + 7
Answer:
23+ 37 = 42
the EG is congruent to the FA and therefore have to dividee the value to get 302
FG = 23 is our answer.
Given,
F is between E and G.
EG = 25
EF= 2x – 6
FG = 4x + 7.
We have to find FG.
We have,
F is between E and G.
So,
EG = EF + FG
We can find FG.
EG = EF + FG
25 = 2x - 6 + 4x + 7
25 = 6x + 1
25 - 1 = 6x
24 = 6x
x = 4
So,
Putting x = 4 in FG = 4x + 7.
FG = 4X + 7 = 4 x 4 + 7 = 16 + 7 = 23
Thus FG = 23.
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If you need to divide 2/3 by 4/5 , why is it easier to use an equation than to use a model
hiw many 2/3 are in 2 1/3
Answer:
3.5
Step-by-step explanation:
2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.
Answer:
there are 3 2/3 in 2 1/3 with 1/3 left over
Step-by-step explanation:
Hope this helps.
Have a nice day :)
Can you give me brainliest plz :)
Find the value of x.
Answer:
20
Step-by-step explanation:
angles on a straight line
(x+20)+7x
open bracket
8x +20 = 180
collect like terms
8x= 180-20
8x=160x
x=160/8
x =20