Answer:
The mean is of 45.
The standard deviation is 2.28.
Step-by-step explanation:
The mean is the sum of all values divided by the number of values.
The standard deviation is the square root of the sum of the difference squared between each value and the mean, and divided by the number of values.
Mean:
[tex]M = \frac{45 + 48 + 42 + 47 + 43}{5} = 45[/tex]
The mean is of 45.
Standard deviation:
[tex]M = \sqrt{\frac{(45-45)^2 + (48-45)^2 + (42-45)^2 + (47-45)^2 + (43-45)^2}{5}} = 2.28[/tex]
The standard deviation is 2.28.
rewrite
3/20
and
2/15
so that they have a common denominator.
the answer can be that they can have a common denominator at 9/60 and 12/60?
The figure consists of parallel lines and transversal. Find the value of x and y.
Will give BRAINLIEST!!!!
Answer:
x = 28 y = 122
Step-by-step explanation:
Transversal Lines would be 112 and 4x
112 / 4 = 28
x = 28
y and 122 are alternate interior angles
so y = 122
hope this helps ^^
the average of three numbers is 15. two of them numbers are 17 and 14 . what is the third number?,
Answer:
19
Step-by-step explanation:
Given average of 3 numbers = 17 Total of 3 numbers = 17×3 = 51. Given average of 2 numbers = 16 Total of 2 numbers = 16×2 = 32 Therefore, Third Number = 51–32 = 19
Penelope is driving to college. She looks at a map to find out how far she has to drive. On the map, Penelope measures the distance to be 7.5 inches. If the map scale is 1.5 in. = 40 mi, how many miles does Penelope need to drive?
Please Help!!
Answer: 200 miles
Step-by-step explanation:
All but one of the following cannot be used internationally
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps youRalphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?
Answer:
Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.
If 2 dice were rolled 180 times, how many times would you expect to get the sum of 11? PLEASE HELLLLLPPPPP ASAP!
Answer:
The answer is 5 times
Step-by-step explanation:
1/6*1/6*180=5
What is the mean of the data set? 108, 305, 252, 113, 191 Enter your answer in the box.
Answer:
193.8 its right
Step-by-step explanation:
Answer:
193.8
Step-by-step explanation:
Jose is planning to spread fertilizer on his rectangular yard. His yard is length of 40 feet and width of 25 feet. How much fertilizer does he need?
I need help with this
Answer: the one with the triangle shaped shaded green.
Step-by-step explanation:
the volume of a cylinder varies jointly with the square of its radius and with its height: V= kr^2h Cylinder A has a volume of 197.82 cubic inches and has a radius of 3 inches and a height of 7 inches. what is the volume of cylinder B, which has a radius of 4 inches and a height of 9 inches
Answer:
452.16 in³Step-by-step explanation:
Given equation:
V = kr²hCylinder A has:
V = 197.82 in³r = 3 inh = 7 inUsing the given values find k:
197.82 = k*3²*7k = 197.82/63k = 3.14The equation now is:
V = 3.14r²hFind the volume of cylinder B:
V = 3.14*4²*9 = 452.16 in³On a standardized exam, the scores are normally distributed with a mean of 300 and
a standard deviation of 40. Find the Z-score of a person who scored 240 on the exam.
Answer:
-1.5
Step-by-step explanation:
The Z - score of a person who scored 240 on the exam will be - 1.5.
What is Standard deviation?
Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
On a standardized exam,
The mean of scores = 300
Standard deviation = 40
Score on the exam = 240
Now,
Since, The Z - score is defined as;
Z - score = (X - μ) / σ
Where, μ is mean of scores and σ is Standard deviation.
Substitute all the values , we get;
Z - score = (X - μ) / σ
Z - score = (240 - 300) / 40
Z - score = - 60 / 40
Z - score = - 1.5
Therefore,
The Z - score of a person who scored 240 on the exam will be - 1.5.
Learn more about the Z - score visit:
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Can someone help? I hate math so much lol I don’t understand
Answer:
±6
Step-by-step explanation:
Given the mathematical expression;
√36 < √42 < √49
But, √36 = 6 * 6 = 6²
√49 = 7 * 7 = 7²
Simplifying further, we would substitute the new values respectively;
±[6] < √42 < ±[7]
Therefore, evaluating √36 is equal to ±6.
i dont know if i am doing this wrong but i got non-fiction, fiction, children, school but it is not an option can someone double check
Answer:
non fic, fiction, children, school
Step-by-step explanation:
fiction: 1/4= 0.25
non fic: 1/2=0.50
school: 1/10= 0.10
children: 3/20= 0.15
The diagram shows the floor plan of a hotel lobby. The carpet that she wants to buy for that floor costs $3 per square foot. How much will it cost to carpet the lobby?
Answer: $ 1 710
Step-by-step explanation:
Area of parallelogram = base x height = 27 x 20 = 540ft2
Area of triagne = 1/2 x base x height = 1/2 x 3 x 20 = 30ft2
total = 540 + 30 = 570ft2
570 ft2 x $3 = $1 710
what is the reciprocal of c^2 + 8
please help!!
Answer:
the answer is the same.....
[tex]\frac{1}{c^2+8}[/tex]
If a•b=b, what must the value of a be?
Answer: I think f
Step-by-step explanation:
The value of a must be 1 in order for the equation to hold true .
If a * b = b, we can find the value of a by isolating it on one side of the equation .
Given that a * b = b, we can divide both sides of the equation by b :
( a * b ) / b = b / b
This equation simplifies to form :
a = 1
For a = 1 the equation is true .
Therefore, the value of a must be 1 in order for the equation to hold true .
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First Bank of Springdale operates a one-lane drive-in ATM machine. Cars arrive according to a Poisson distribution at the rate of 12 cars per hour. The time per car needed to complete the ATM transaction is exponential with mean 6 minutes. The lane can accommodate a total of 10 cars. Once the lane is full, other arriving cars seek service in another branch. Determine the following:(a) The probability that an arriving car will not be able to use the ATM machine because the lane is full.(b) The probability that a car will not be able to use the ATM machine immediately on arrival.(c) The average number of cars in the lane.
Answer:
a) 0.19
b) 0.9689
c) ≈ 6 cars
Step-by-step explanation:
Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute
time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute
capacity of lane = 10 car
n = 10
a) Calculate the probability of an arriving not using the ATM because the line is full
p ( not using the ATM ) = 0.19
b) probability that a car will not be able to use the ATM machine immediately on arrival
P ( n > 0 ) = 1 - Po
= 1 - 0.0311 = 0.9689
c) Average number of cars in the lane
Lq = 5.74 ≈ 6 cars
attached below is the detailed solution
Use the Pythagorean Theorem to find the length of the leg in the triangle below. The figure shows a right triangle with one leg marked 3. The hypotenuse is marked 5.
9514 1404 393
Answer:
4
Step-by-step explanation:
If the unknown leg is represented by x, then the Pythagorean theorem tells you ...
x² + 3² = 5²
The sum of the squares of the legs equals the square of the hypotenuse.
Solving for x, we have ...
x² = 5² -3² = 25 -9 = 16
x = √16 = 4 . . . . . . . only the positive root is of interest
The missing leg length is 4 units.
_____
Additional comment
This exercise shows you that the triple (3, 4, 5) will form a right triangle. It is the smallest integer "Pythagorean triple", and the only one that is an arithmetic sequence (the differences between the numbers are the same). You will see this a lot, sometimes multiplied by various factors: 6, 8, 10, for example. It is worth remembering.
Answer:
4
Step-by-step explanation:
Correct answers:
$4$
Let a represent the length of the leg and label a on the figure.
The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.
The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.
Using the Pythagorean Theorem with b=3, c=5, and solving for a, we have
a2+b2a2a2a2a2aa=c2=c2−b2=52−32=25−9=16=16−−√=4
The length of the leg is 4.
If the average rate of change 10 is greater than the average rate of change of -12.5 explain why this is incorrect?
Answer:
Step-by-step explanation:
It's the magnitude of the average rate of change that's important here.
| -12.5 | is greater than | 10 |. The negative sign tells us that the function is decreasing on the given interval.
PLZ HELP MEE!!!
NO LINKS OR WEBSITES!!! YOU WILL GET REPORTED!!!
Answer:
[tex]90 in^{2}[/tex]
Step-by-step explanation:
Base is an equilateral triangle
slant hight= 12 in
side of base= 5 in
so, perimeter of base = 3(5)=15 in
lateral area = 1/2 pl =1/2 (15)(12) in
=90 in²
--------
hope it helps..
have a great day!!
Answer:
Step-by-step explanation:
lateral area = 1.5*12*5 =90
John applied for a loan of $5,000.00 with an annual interest rate of 3% to be repaid monthly for a year. The loan terms include a processing fee of 0.1% of the loan amount and a quarterly administrative charge of 0.05% of the loan amount. What is the total cost of financing?
Answer:
Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates
Step-by-step explanation:
What’s the answer to this ?
Answer:
Step-by-step explanation:
[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]
1st box: 140
2nd box: 140
3rd box: 35
The table below shows the base and height of three triangles in centimeters. Which triangles have the same area?
= 1/2 ℎ
Answer:
Triangle 1 and triangle 3 have same area.
Step-by-step explanation:
Given:
Triangle Base Height
1 30 16
2 60 40
3 20 24
Find:
Same area triangle
Computation:
Area of triangle = (1/2)(b)(h)
Area of triangle 1 = (1/2)(30)(16)
Area of triangle 1 = 240 unit²
Area of triangle 2 = (1/2)(60)(40)
Area of triangle 2 = 1200 unit²
Area of triangle 3 = (1/2)(20)(24)
Area of triangle 3 = 240 unit²
So,
Triangle 1 and triangle 3 have same area.
Can someone tell me which one of the following options from my photo is correct?
Answer:
C and E
Step-by-step explanation:
Expressions does not contain any equal or less than greater than sign
So C and E are the right answers
There are 56 sheep in a paddock. Each sheep is either black or white. There are 6 times as many white sheep than black sheep. How many black sheep are there?
Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.
first, let's define the variables:
x = number of black sheep
y = number of white sheep.
We know that:
"there are 56 sheep"
Then we can write:
[tex]x + y = 56[/tex]
We also know that there are 6 times as many white sheep than black sheep, this means that:
[tex]y = 6 \cdot x[/tex]
Then we have a system of equations:
[tex]x + y = 56[/tex]
[tex]y = 6\cdot x[/tex]
To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.
Now we can replace that variable in the other equation:
[tex]x + y = 56[/tex]
[tex]x + 6\cdot x = 56[/tex]
Now we can solve this for x, the number of black sheep:
[tex]7\cdot x = 56\\\\x = 56/7 = 8[/tex]
There are 8 black sheep.
If you want to learn more, you can read:
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Which condition would prove △JKL ~ △XYZ
The Answer Is KL/YZ=8
have an amazing day <3
Answer:
D
Step-by-step explanation:
JL/XZ = 8
which is equal to (6 times 9) plus (6 times 8)
Answer:
( 6 x 9 ) + ( 6 x 8) = 102
Step-by-step explanation:
The answer 102
Hope this helped!
Answer:
102
Step-by-step explanation:
6 times 9 is 54
8 times 6 is 48
Then add to get 102!!!
Write an inequality for this situation:You are driving, and
the maximum speed limit is 55
Answer:
c
Step-by-step explanation:
Review the graph of function g(x).
On a coordinate plane, a line goes from open circle (0, 0) through (negative 4, 2). A curve goes from the open circle to (2, 1) and then down through open circle (4, 0). A closed circle is at (4, negative 2).
Which table identifies Limit as x approaches 0g(x) and Limit as x approaches 4g(x), if they exist?
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 0
Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 DNE
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 −2
Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 −2
Answer:
The Answer is A) 0,0
Step-by-step explanation:
I got it right!