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]
Select all expressions that are equivalent to 6x+1−(3x−1). A. 6x+(-3x)+1+1 B. 3x+2 C. 6x−3x+1−1 D. 6x+1−3x−1 E. 6x+1+(-3x)−(-1)
Answer:
B. 3x+2
Step-by-step explanation:
John buys two ties that each cost $19.99 he also buys a pair of dress pants that were originally $64 but a discounted by 30% more over he has a coupon for $10 off a purchase of $50 or more purchase finally sales tax is 6% in his state how much did John pay for the ties and pants
Answer:
Cost of ties and pants = $52.5
Step-by-step explanation:
Total cost of ties = $19.99
cost of dress pants = $64, discountted by 30%
discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2
∴ Discounted price of dress pants = 64 - 19.2 = $44.8
Total cost of ties and dress pants = 19.99 + 44.8 = $64.79
Now, let us apply the coupon
coupon = $10 off every purchase of $50 or more
Purchase amount = $64.79 ; therefore coupon applies.
Applying coupon
Purchase amount = 64.79 - 10 = $54.79
sale tax = 6% or purchase price
sale tax = 6% × 54.79
sale tax = 0.06 × 54.79 = $3.29
∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5
What is the answer to 12/45x5+6
Answer: 24.75
Step-by-step explanation:
First you would do 45x4=225, then you would divide that by 12 which equals 18.75, then you would add 6 to the ones place which is 24.75
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.
Answer:
$3.6Step-by-step explanation:
Given that 8 rolls cost $4.80
let us compute how much 1 roll will cost (that is the unit cost of a roll)
so 8 rolls cost $4.80
1 roll will cost x
x= 4.8/8
x=$0.6
so the paper tower cost $0.6 per roll (this is the rate)
therefore 6 rolls will cost
=6*0.6
=$3.6
e-2=13 pls someone help me
Answer: E=15
Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15
Answer:
15
Step-by-step explanation:
to solve this you would need to add 13 and 2 since it's inverse operation of subtraction which would give you 15 since 15-2=13
What is .24 written as a percent?
Answer:
24%
Step-by-step explanation:
Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.
Step 2: Add a percent sign: 24%
and that's how you get your answer
The .24 written as a percent is 24%.
To convert .24 to a percent, multiply it by 100.
.24 ×100 = 24
When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.
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It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.) Answer for Blank 1:
Answer: $ 3.57
Step-by-step explanation:
Given: Cost for each sandwich at the local deli shop = $2.55
They sell it at selling price = 140% of 2.55
[Replace 'of' by 'x " and '%' by [tex]\dfrac{1}{100}[/tex]]
[tex]=\dfrac{140}{100}\times 2.55\\\\=1.4\times2.55\\\\=\$3.57[/tex]
i.e. Selling price = $ 3.57
Hence, The sandwich sells for $3.57.
Answer:
3.57
Step-by-step explanation:
4x - 5y = 10 solve for y=mx+b
Several English professors categorized the literary works from their
seminars by time period and length, as shown in the table. According to
the table, what percent of the literary works with 500 or more pages are
from the 19th century?
Answer:
358
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
At 7:00 AM the temperature in Wilton was -6 degrees. By 8:00am the temperature was 2 degrees. What is the difference in the temperature between 8:00am and 7:00am?
Answer:
8 degrees
Step-by-step explanation:
Your really just counting up from -6 to 2.
Yo can someone please help me.
Answer:
44670
Step-by-step explanation:
5.67*1000+3.9*10000
I will give brainlest if the answer is right Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Answer:
2 , 10 , and 15 in order of missing spaces, up to down
Step-by-step explanation:
You find the ration 8/20 and find out if the ration is simplifiable and turn it to 2/5 which you multiply the rest of the answers too. Hope this answers your question :)
Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2
Answer:
The right answer is d. inverse variation; k=2
What is X? 3(4x−3)= -4+7
Step-by-step explanation:
[tex]3(4x - 3) = - 4 + 7[/tex]
Expand :
[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]
Simplify : Add values
[tex]12x - 9 = 3[/tex]
Collect like terms and simplify
[tex]12x = 3 + 9 \\ 12x = 12[/tex]
Divide both sides of the equation by 12
[tex] \frac{12x}{12} = \frac{12}{12} [/tex]
Simplify
[tex]x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
Hope I helped :)
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A tennis racket that normally sells for $80 now
sells for $64. In lowest terms, what fraction
represents the former price compared to the
current price?
A. 3/4
B. 4/5
C. 6/5
D. 5/4
Simplifying Expressions ,
In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.
Answer:
Jamal has the the better record
Answer:
This is the sample response from Edge
Step-by-step explanation:
Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.
(will give brainliest!!!)
In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
(no sin and cos pleasee)
(show work too)
9514 1404 393
Answer:
18 cm^2
Step-by-step explanation:
Under the given constraints, the way to find the area of this triangle is to use a triangle solver app or web site. The attached shows the area is 18 cm^2.
_____
A simple way to find the area is to use the cosine function to find side AC adjacent to the 75° angle. Then use the formula for area that uses the sine function.
AC = AB·cos(75°)
Area = (1/2)AB·AC·sin(75°)
Area = (1/2)(AB²)cos(75)sin(75°)
= (1/4)AB²·sin(150°) . . . using the double-angle identity
= (1/4)(12 cm)²(1/2)
Area = 18 cm²
__
The useful relations are ...
Cos = Adjacent/Hypotenuse
cos(75°) = AC/AB ⇒ AC = AB·cos(75°)
and ...
Area = (1/2)pq·sin(α) . . . . for two sides p and q with angle α between them
Area = (1/2)AB·AC·sin(75°)
Another identity we used here is ...
sin(2α) = 2sin(α)cos(α) ⇔ sin(α)cos(α) = (1/2)sin(2α)
Putting these together, the formula for area we used was effectively ...
A = (1/4)AB²sin(2·75°)
Which of the following is true about the expression c5+(−9c2)+40c+7d7e3−5c3+4d?
A. There are no negative coefficients.
B. The coefficient of the first term is 0.
C. The coefficient of the third term is c
D. The coefficient of the fourth term is 7.
Answer:
D. The coefficient of the fourth term is 7.
Step-by-step explanation:
Took the test got it right
The true statement about c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d is
D. The coefficient of the fourth term is 7.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d.
There are negative coefficients - 9.
The coefficient of the first term is 1.
The coefficient of the third term is 40.
The coefficient of the fourth term is 7 is true.
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On a certain Friday night, the local baseball stadium earned $867.50 in revenue from ticket sales on 310 tickets. Ticket prices are $3.00 for adults and $2.50 for children. How many adults attended the game on Friday?
Answer:
185
Step-by-step explanation:
Found by solving the system of equations:
3x+2.5y = 867.5
x+y = 310
Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?
Answer:
6
Step-by-step explanation:
Given the following :
Number of sugar cookies = 42
Number of Oatmeal = 30
To package the cookies into identical containers so that each container has the same number of cookies with no left over ;
We find the greatest common factor of 42 and 30
Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42
Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30
The greatest common factor = 6
You have researched your dream around-the-world vacation and determined that the total cost of the vacation will be $39,000. You feel you can earn an APR of 10.5 percent compounded monthly and plan to save $485 per month until you reach your goal. How many years will it be until you reach your goal and enjoy your well-deserved vacation?
Answer:
41.8 years
Step-by-step explanation:
From
[tex]A = P(1+r/n)^{nt}[/tex]
A= 39000
r = 10.5%
P = $ 485
n=12
t = the unknown
t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]
t= 10.57 - 6.18/0.105
t= 41.8 years
Which graph represents the function f(x) = |x|-4?
Answer:
Which graph represents the function f(x) = 4|x|?
B is the correct answer
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
Edg2021
A bee travels at 24 km/h. At that rate, how many miles can it travel in a day?
A rectangular table measures 3 feet by 4 feet. Andres rotates the the table a quarter-turn clockwise. What is the length in feet of the shorter side of the table after the rotation?
Answer:
3 ft
Step-by-step explanation:
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
In a school election, 34 of the students vote. There are 1464 ballots. Write and solve an equation to find the numbers of students.
An equation is __?__ =1464.
There are a __?__ total of students.
Answer:
1464*.34=amount of students
Step-by-step explanation:
Please help me out with my homework! This is super urgent! It's due in 18 minutes! Baranga lives in the city of Delmarville, North Carolina. She drives for 572 miles to Montgomery, Alabama. She drove for 22 hours. How long did she drive every hour?
Answer:
26 miles every hour
Step-by-step explanation:
she drove 572 miles for 22 hours
??????? for 1 hour
572/22= 26 miles per hour
Answer: 26 miles
We know that Baranga drove 572 miles in 22 hours. To find how much she drove every hour, we must divide.
Let m represent miles, and h represent hours.
m ÷ h = 26
Remember to always check your answer.
26 x h = m
Therefore, the answer is 26. Hope this helps you!
6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .