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]
Shelly runs 2.5 miles in 18 minutes. what is her mile time in minutes.
Answer:
7.2315656
Step-by-step explanation:
Let's agree that 2.5 miles : 18 minutes is the ratio between the amount of distance and the amount of time spent running. If we spent 2x as many minutes running, Shelly would run 5 miles. In the same context, let's find the amount of distance covered in 18 minutes.
18 × (60/18) = 60
We multiply 60/18 because 60/18 = 60 × (1/18), and the (1/18) cancels with the 18 so we are left with the numerator, 60.
2.5 : 18
Now, we have to multiply 60/18 on both sides!
2.5 × (60/18) : 18 × (60/18) = 60
2.5 × (60/18) = 8 and 1/3 miles
The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
will mark brainlyest 10/19
Answer:
answer is 5
Step-by-step explanation:
Please help asap!! I'll give you brainliest!!
What is the slope of the function, represented by the table of values below?
Answer:
-4
Step-by-step explanation:
To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
solving equations with variables on both side! due today
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x
I need help.........,
Answer:
Step-by-step explanation:
p=15-4
p= 11
Find the total distance from Mercury to Earth. HELP!
Answer:
5.67*10^7
Step-by-step explanation:
Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:
30,700,000
+26,000,000
__________
56,700,000
Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answer:
Answer given in the photo
What 98 x 8 divided by 2 and what is this game called
Answer:
392 and Overwatch I think
Step-by-step explanation:
Answer:
392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.
Step-by-step explanation:
On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
870?
Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain
ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?
Answer:
15
Step-by-step explanation:
pair that describes <2 <3
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?
11
12
10
13
Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.
Answer:
g times 5 equals 90
Step-by-step explanation:
Answer:
g5 = 90
Step-by-step explanation:
if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.
Can You Please Help? I swear I will mark brainliest
Answer:
The answer is 2 inches
Step-by-step explanation:
U just have to divid 20 by 10 and you get ur answer
please help i'm stuck :,)
Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.
Answer:
14 minutes below or 6 minutes above
Step-by-step explanation:
Let's say Sophia's time was 10 minutes WORSE
4 minutes below average- 10 minutes= 14 minutes below average
Let's say Sophia's time was ten minutes BETTER
4 minutes below average + 10 minutes= 6 minutes above average.
Hope this helps!
14 minutes below the average
6 minutes above the average
=====================================================
Let A = average running time
Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.
Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.
We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.
-------------
Let's plug in J = A-4 and solve for S
|S-J| = 10
|S - ( J )| = 10
|S - (A-4)|
|S-A+4| = 10
S-A+4 = 10 or S-A+4 = -10
S-A = 10-4 or S-A = -10-4
S-A = 6 or S-A = -14
S = A+6 or S = A-14
The equation S = A+6 shows Sophia is 6 minutes above the average
The equation S = A-14 shows Sophia is 14 minutes below the average
-------------
Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.
If A = 20, then Jacob's time is J = A-4 = 20-4 = 16
If the average running time is 20 minutes, then Jacob ran for 16 minutes.
If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)
If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)
This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.
change 84cm into mm
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.
Answer:
Step-by-step explanation:
it would be to subract 0.01 from 0.025 because you want to get the x by itself
Help me someone please I’m lost and confused??
Answer: go to Cymath
Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers
Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24
Answer:
3/5 = 21/35
Step-by-step explanation:
if you reduce 21/35 it is 3/5 so it is the same thing
What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
can anyone help me?
Answer:
Literally take your f(x) and - your g(x)
(x^2+9x+18) - (x + 6)
Remember to distribute the negative sign.
You should not schedule _____ tasks for the same day.
yearly
daily
weekly
monthly
Answer:
B. Daily
Step-by-step explanation:
It makes more sense to put "daily" because of "the same day."
Daily means doing something everyday.
You should not schedule daily tasks for the same day.
Answer:
I just took the test.
It is weekly.
Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?
Answer:
Step-by-step explanation:
7, 1
I dont get the question
which angle pairs are congruent? Select all that apply
Answer:
Step-by-step explanation:
The first and last one
You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?
Answer:
you would not be able to withdraw $60
Step-by-step explanation:
$50 is less than $60
Answer:
$-10 (you wouldn't be able to withdraw 60, only 50 or less.)
Step-by-step explanation:
You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.
And you wouldn't be able to withdraw 60, only 50 or less.
(～￣▽￣)～Hope this helps!
1) Gracie has a piece of wood that is 5 feet long to use for two projects. She uses 2 feet of the wood on her first project. Which statement describes how a number line can be used to find the length of wood Gracie has remaining for her second project? * Start at 5 and then move left 2 Start at 5 and then move right 2 Start at 2 and then move left 5 Start at 2 and then move right 5
Answer:
Start at 5 and then move left 2
Step-by-step explanation:
Given:
Length of a piece of wood with Gracie = 5 feets
Length of a piece of wood used on the first project = 2 feets
To find: statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project
Solution:
The statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project is
Start at 5 and then move left 2
In this way [tex]5-2=3[/tex]
That is Gracie has now 3 feets of wood available that can be used for her second project.
Using the concept of a number line, the number of wood grace has left would be Start at 5 and then move left 2
Using the concept of a number line :
Positive values are to the right of 0 ; hence, the initial amount of wood grace has is +5 Using two feets from the initial length, then we would Subtract 2 from the the initial value ;To perform subtraction on a number line, we count to the left ;Therefore, the correct statement is Start at 5 and then move left 2
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