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]
find the side length of x . round your answer to the nearest hundredth of 11,14, x
Answer:
17.8
Step-by-step explanation:
use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer
SOME 1 HELP WITH 11 PLZZZZ
Answer: Tiffany got 45 questions right! Hope this helped.
Step-by-step explanation:
£78 is split equally between 5 people how many will each person get
Answer:
15,6....................
Answer:
£15.6
Step-by-step explanation:
78/5=15.6
a cubic block of ice has a volume of 1,331 inches how tall is the block
Answer:
The answer is 11. 11^3 is 1,331.
Step-by-step explanation:
NP
HELP ME SOLVE THIS PLZ (show how to solve it)
-2|2x+4|+10>-6
Answer:
-6 < x < 2
Step-by-step explanation:
-2|2x+4|+10>-6
Subtract 10 from each side
-2|2x+4|+10-10>-6-10
-2|2x+4|>-16
Divide by -2, remembering to flip the inequality
-2/-2|2x+4|>-16/-2
|2x+4|<8
We have two solutions, one positive and one negative( remember to flip the inequality)
2x+4 < 8 and 2x+4 > -8
Subtract 4 from each side
2x+4-4 < 8-4 and 2x+4-4 > -8-4
2x < 4 and 2x > -12
Divide by 2
2x/2 < 4/2 and 2x/2 > -12/2
x <2 and x > -6
-6 < x < 2
Answer:
x<2 and x>-6
Step-by-step explanation:
First, get rid of anything on the outside of the absolute value bars. Subtract the 10 on both sides first.
-2|2x+4|+10>-6
-10 -10
-2|2x+4|>-16
Now, divide by -2 on both sides.
-2|2x+4|>-16
/-2 /-2
|2x+4|<8
Just so you know, any time you multiply or divide by a negative, flip the inequality sign. Now because the numbers in the absolute bars are by themselves, you can start to finally solve. But, when you have an equation with absolute bars and you have the numbers in the absolute bars by themselves, you always have to split it into two equations. The equations have to be identical, but the number on the opposite side of the x has to be negative. Now, you solve both equations just like regular ones. Also, flip the sign for the inequality with the negative number.
|2x+4|<8 and |2x+4|>-8
-4 -4 -4 -4
2x<4 2x>-12
/2 /2 /2 /2
x<2 and x>-6
I hope this helps you out!!! Have an amazing day C:
x/3 + 5 = 6.8
The x/3 is a fraction! please I need an answer!!!
Answer:
x=5.4
Step-by-step explanation:
x/3+5=6.8
-5 -5
__________
x/3= 1.8
*3
________
x= 5.4
A man can type 21 words per minutes. how long will it take him to type 3780 words
Which fraction is greater than the fraction represented by the model? A circle divided into 8 equal parts. 3 parts are shaded. One-fourth StartFraction 7 over 16 EndFraction One-eighth StartFraction 3 Over 16 EndFraction
Answer:
7/16
Step-by-step explanation:
Just took the test! :)
Answer:lol i agree
Step-by-step explanation:
Write the number in scientific notation. 10700000
Answer: [tex]107^{5}[/tex]
There are 5 zeros left of the seven (7).
So, 5 is the exponent/base number.
Add a 5 as a base/exponent.
107[tex]5[/tex] should now be the answer.
Hope this answer helps you!
Answer:
1.07 × 10^7
Step-by-step explanation:
Hope This Helps!
Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28
Plz help!!! Will mark brainliest!!!!!!
If f(x) = 2x - 3, find f(-2).
Answer:
0.5
Step-by-step explanation:
-2 = 2x - 3
1 = 2x
0.5 = x
Answer:
f(x) = -7
Step-by-step explanation:
f(x) = 2x - 3 turs into
f(x) = 2 x -2 - 3
f(x) = -4 - 3
f(x) = -7
Which statement is not an example of a way a mineral can form?
O A. Dissolved substances crystallize on the bottom of a lake as
dolomite.
O B. A tourmaline crystal forms from magma cooling very slowly
underground.
Onc. Scientists grow a diamond under laboratory conditions.
O D. Pressure underground causes particles in rock to reorganize,
forming garnet
Answer:
Onc I think that is what that is but it is the scientist answe is the right answe
Step-by-step explanation:
This statement is not an example of a way a mineral can form as "scientists grow a diamond under laboratory conditions".
What is a Mineral Formation?Minerals grow under a wide variety of geologic circumstances. There are probably more ways to produce minerals than there are different types of minerals. Minerals can occur as a result of volcanic gases, sediment formation, oxidation, magma crystallization, or saline fluid deposition, to name a few.
As per the question,
A. Dissolved substances crystallize on the bottom of a lake as
dolomite is an example of a way a mineral can form.
B. A tourmaline crystal forms from magma cooling very slowly
underground is an example of a way a mineral can form.
C. Scientists growing a diamond under laboratory conditions is not an example of a way a mineral can form.
Hence, the correct answer would be option (C).
Learn more about Mineral Formation here:
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A line with a slope of 1 passes through the point (18, 15). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 13
Step-by-step explanation:
Given parameters:
Slope of the line = 1
Coordinate = (18, 15)
Unknown:
Equation of the line in slope-intercept format = ?
Solution:
The equation of a line is expressed as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
Now, sine x = 18 and y = 5, let us find c;
5 = 1(18) + c
5 = 18 + c
c = -13;
The equation of the line is;
y = 1(x) + (-13)
y = x - 13
In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth
Answer:
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex] ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
-3²-7· -3+6
will give brainiest
please!!! i need it answered
Answer
18
Step-by-step explanation:
I hope this helps
Answer:
18
Step-by-step explanation:
Use the order of operations here to solve your expression.
First do Parentheses, then Exponents, Multiplication and Division, and Addition and Subtraction. An easy way to remember this is PEMDAS.
Let's dive right in,
[tex]-3^{2}-7*-3+6\\-9-7*-3+6\\-9+21+6\\12+6\\18[/tex]
In conclusion, the value of this expression is 18. Hope this helped :D
Edit: fixed an error (did 3^2 instead of -3^2)
Help please this is dues in 30 min I still don’t understand
Answer:
800 blue marbles
Step-by-step explanation:
Since the ratio of red to blue is 3 to 4, we know that there is 600 red marbles.
Using this information we know that 3 and 600 are both red marbles, now we multiply 3 by 200 to get a total of 600 red marbles. You can also find the value needed to multiply the 3 by dividing 600 by 3.
Since we know that 1 ratio is 200, we multiply 4 by 200 to get 800 blue marbles.
a shape is shown on the graph
Which of the following is a reflection of the shape
Answer:
one reflection would be (-2, -2) (-2,-4) and (-6, -2)
Step-by-step explanation:
Hope this helps
A circle has a diameter of 18 inches. If 1 inch is approximately 2.5 centimeters, what is the diameter in centimeters?
Answer:
45
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST!!
Answer:
<QPR=88
Step-by-step explanation:
the third one is the correct answer
Pls pls pls answer I’ll give you the brainlist!
Sorry If I spelled it wrong
Answer:
22
Step-by-step explanation:
You can just put it in your calculator
Answer:
22
Step-by-step explanation:
Your quiz must include at least one word problem the requires multiplication or division of decimal by a power for ten. Example: Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35. How much he for all the tiles? (You may not use this problem.If you do, you will get no points
Answer:
Total cost= $235
Step-by-step explanation:
Giving the following information:
Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35.
To calculate the total cost, we need to use the following formula:
Total cost= 2.35*x
x= number of tiles
For 100 tiles:
Total cost= 2.35*100
Total cost= $235
A family leaves at 6:35 AM on a 225 mile trip. If the average speed is 76 miles per hour, what time will they reach their destination?
Answer: 9:32
Step-by-step explanation:
225/76 is 2.96, then you do 60x0.96 to find how many minutes that is which is 57 plus the 2 hours is 2 hours 57 minutes and when you add 2 hours 57 minutes to 6:35 you get 9:32
Rewrite the expression using a single, positive exponent: 14^-3x14^12
Answer:
14⁹
Step-by-step explanation:
When you're multiplying, you add the exponents. So, -3+12=9.
````````````````````````````````````````````````````````````````````````````````````````````
Answer:
14 miles
Step-by-step explanation:
make it into an equation 1.50x+3=24 then solve
X/2+3/8=1
What does x equal
Answer: X = 5/4
X/2 + 3/8 = 1
Subtract 3/8 from both sides.
X/2 = 1 - 3/8
Simplify 1 - 3/8
X/2 = 5/8
Multiply both sides by 2.
X = 10/8
Simplify 10/8
X = 5/4
Answer:
x=5/4
Step-by-step explanation:
Subtract 3/8 from both sides.
Then simplify.
Multiply both sides by 2.
And then simplify again.
Hope this helped! :)
Please help me!!
Geometry
Answer:
3
Step-by-step explanation:
M is the midpoint of AB. That means that 2 binomials are equal.
4n - 40 = 7* (-2n + 2) Remove the brackets
4n - 40 = - 14n + 14 Add 14n to both sides
4n+14n - 40 = -14n+14n + 14 Combine
18n - 40 = 14 Add 40 to both sides
18n = 14 + 40 Combine
18n = 54 Divide by 18
18n/18 = 54/18 Combine
n = 3
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.
Answer: No, the experiment is not binomial
Step-by-step explanation:
From the formula for a binomial distribution :
nCx * p^k * q^(n - x)
n = number of trials (fixed)
x = number of success on trial
p = probability of success (which is the same for each trial).
q = (1 - p) = probability of failure (same for each trial)
Binomial experiment have binary outcome ; Either Success or Failure
The experiment described above :
Number of trials is satisfied (8 picks)
Binary outcome (matches on ticket or match does not exist).
HELP ASAP!
Find the LCM (least common multiple) of 30 and 22.
LCM =
What is the remainder when 69,694 is divided by 93?
Answer:
37
hope this helps :3
37 is the remainder when 69,694 is divided by 93
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find the remainder when 69,694 is divided by 93
The number which is getting divided here is called the dividend.
69694 is dividend
The number which divides a given number is the divisor.
93 is the divisor.
the number which we get as a result is known as the quotient.
The divisor which does not divide a number completely produces a number, which is referred to as remainder.
69694 can be written as (69657+37)
69657 is divisible completely by 93 and the remainder is 37.
Hence, 37 is the remainder when 69,694 is divided by 93
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