In 2019, the average high school GPA for incoming University of Maryland freshman was 4.32 with a standard deviation of 0.285. Suppose UMD freshman are randomly assigned into groups of 25.
Note that this scenario is talking about a sampling distribution since the students are put into groups of size 25. Therefore, you will need to calculate the standard deviation using a formula before using the normalcdf and invNorm commands.
a) What is the mean of the sampling distribution of all samples like this:
b) What is the standard deviation of the sampling distribution of all samples like this:
Give the formula with values that you entered in your calculator as a way of showing your work:
Give your final answer rounded to 3 decimal places:
c) What is the probability of a group having an average high school GPA below 4.1?
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 6 decimal places or write your final answer in scientific notation rounded to one decimal place:
Answer a what is the mean of the sampling distribution of all samples like this
Step-by-step explanation:
PLEASE HELP!!!! TELL ME HOW TO DO IT
A triangle has sides with lengths of 60 feet, 63 feet, and 87 feet. Is it a right triangle?
Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
[tex]a^2+b^2=c^2[/tex]
Note that [tex]a[/tex] and [tex]b[/tex] are the legs of the triangle and [tex]c[/tex] is the hypotenuse:
Substitute the lengths of the sides into the equation:
[tex]60^2+63^2=87^2[/tex]
[tex]3600+3969=7569\\7569=7569[/tex]
Therefore this triangle is a right triangle.
The number of students attending the seventh grade class trip is 4 times the number of teachers attending. What Is tge ratio of teachers to studets attending the class trip?
Answer:
1:4
Step-by-step explanation:
pls heart and give brainliest much appreciated
Answer:
1:4
Step-by-step explanation:
1:4 ok bye, bc I needa ask sum questions so dont come 4 me
Question 4 of 5
Select the correct answer.
Sebastian randomly surveyed 25 people in his neighborhood to find out which electric company they use. In his survey, he found that
16% of the sample use Reliable Energy
What would most likely happen if he decided to randomly survey 50 people instead?
A. There is not enough information to determine how the sample proportion would be affected.
B.The sample proportion would less closely model the population proportion.
C. The sample proportion would not be affected.
D The sample proportion would more closely model the population proportion.
Answer:
D The sample proportion would more closely model the population proportion.
Step-by-step explanation:
The more people surveyed, the more accurate the information.
What is 94.239 rounded to the nearest thousandth?
94.239 is already rounded to the nearest thousand as the no. of digits after the decimal place is three.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, 94.239 rounded to the nearest thousandth it is already rounded to the nearest thousand the no. of digits after the decimal place is three.
learn more about rounding off numbers here :
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Evaluate 2d - 3n divided by four n = 2 and d = 3
Answer:
0 is your answer..........
andrei has a glass tank. first he wants to put in some marbles, each of which has a volume of 0.04 liters. the, he wants to fill the tank with water until its completely full. if he uses 50 marbles he will have to add 33 liters of water,
what is the volume of the tank?
Answer:
35 liters
Step-by-step explanation:
The volume of 50 marbles will be ...
50 × 0.04 L = 2.00 L
Adding 33 liters of water to that volume of marbles will bring the total volume of material in the tank to ...
2 L + 33 L = 35 L . . . . volume of full tank
Please help mark as brainliest
Answer:
the answer is an group tens
Step-by-step explanation:
BRAINLIEST PLEASE
1 What is the remainder when 245 is divided by 9?
2 A bridge in the park is 84 feet long. The length of the bridge is 6 times the width of the bridge. How wide is the bridge?
3 Dylan gets home from school at 4:05 p.m. He spends 20 minutes on his homework and 15 minutes practicing the drums. How many minutes does he have left before leaving for soccer practice at 5:15 p.m.?
Answer:
245÷9 =0 witt remainder 9
if Penelope's car has an average fuel consumption of 3 miles per gallon and she uses 9.5 gallons how far did she drive
Answer:
approximately 3.16 repeated
Step-by-step explanation:
Given parameters:
Average fuel consumption of Penelope's car = 3miles per gallon
Amount of fuel used = 9.5 gallons
Unknown:
Distance of her drive = ?
Solution:
Since her rate of fuel consumption per miles is known, we can simply solve for the distance she covers.
Distance covered = Rate of fuel consumption per miles x amount of fuel used
Distance covered = 3 x 9.5 = 28.5miles
The distance covered by Penelope's car is 28.5miles
In a right triangular prism, the area of the triangular base is 50 square feet. The height of the prism is 12 feet. What is the volume of the prism?
A.220ft^3
B.600ft^3
C.100ft^3
D.135ft^3
600 ft²
Solution:
Area of triangular prism - -
Formula's:
Area of the base * HeightHere the volume:
50 * 12
600 ft²
simplify the surd square root 12 x square root 8
The simplification of square root 12 x is [tex]\mathbf{2 \sqrt{3x}}[/tex] and the square root of 8 is [tex]\mathbf{2 \sqrt{2}}[/tex]
What is Surds?Surds is a mathematical expression of numbers in square roots that cannot be changed to real numbers but be further simplified into irrational numbers.
From the given information.
The simplification of [tex]\mathbf{\sqrt{12x}}[/tex] is:
[tex]\mathbf{= \sqrt{4 \times 3x }} \\ \\ \mathbf{= 2\sqrt{ 3x }}[/tex]
The simplification of the [tex]\mathbf{\sqrt{8 }}[/tex] is determined by factoring 8:
i.e.
[tex]\mathbf{= \sqrt{4 \times2 }} \\ \\ \mathbf{= 2\sqrt{ 2}}[/tex]
Learn more about surds here:
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Which equation represents the relationship between the angles shown below?
Answer:
4x + 44 = 180
Step-by-step explanation:
4x = 180- 44
4x = 136
x= 136÷ 4
x= 34
Answer:
4x + 44 = 180
Step-by-step explanation:
sum of angles on a straight line = 180
4x + 44 = 180
subtract 44 from both sides
4x + 44 - 44 = 180 - 44
4x = 136
Divide both sides by the coeficient of x
4x = 136
4 4
x = 34
How many years is 10000 hours? [365 days = 1.0 year] *
There is 24 hours in a day. Therefore, there are 8760 hours in a 365-day calendar year (365 x 24 = 8760).
How many years is 10000 hours?
Take the total number of hours and divide it by the number of hours in a year.
10000/8760 = 1.1415
Therefore, 10000 hours is approximately 1.14 of a year.
Please Help! locks in 30 min! Will give brainlest!
Answer:
First option [tex]0, \frac\pi2, \pi, \frac{3\pi}2[/tex]
Step-by-step explanation:
first of all, let's replace the lhs with the equivalent in sine (from the pythagoran identiy on sine and cosine)
[tex]1-sin^2\theta =1-sin\theta[/tex]
At this point we take 1 from both side, and change signs just out of convenience.
[tex]\sin^2\theta =sin\theta[/tex]
Now we have 2 options. If [tex]sin \theta =0 \leftrightarrow \theta = k\pi[/tex] the equation is verified, and we got two solutions [tex]\theta =0; \theta = \pi[/tex]. Else, we can divide by [tex]sin\theta[/tex] and we get
[tex]sin\theta = 1 \leftrightarrow \theta = \frac\pi2+k\pi[/tex].
We can add everything together and write
[tex]\theta = k\frac\pi2; k\in\{0,1,2,3\}[/tex] or, in our case, the first answer.
Which of the binomials below is a factor of this trinomial?
x^2 - 5x - 36
A. x - 7
B. x + 4
C. x^2 + 7
D. x - 4
answer:
B
Step-by-step explanation:
x² - 5x - 36 = (x - 9)(x + 4)
x² + (a + b)x + ab = (x + a)(x + b)
In the figure below,
What is the value of x?
Answer: 16 degrees
Step-by-step explanation:
(3x - 18) = 66
Because vertically opposite angles are equal
66 - 18 = 48
48 divided by 3 = 16
Find the sine ratio of angle -. Hint: Use the slash symbol (/ ) to represent the fraction
par, and enter the fraction with no spaces.
Answer:
4/5
Step-by-step explanation:
The sine ratio is defined as the opposite leg/hypotenuse. The opposite leg is 4 and the hypotenuse is 5.
Identify the premise. Choose the correct answer below.
O A. Men are better qualified for high office than women.
B. Men in high office.
C. All the mayors of my hometown have been men.
© D. Mayors of a certain town.
find the difference between the actual and estimated values of 55 - 21
Answer:
Actual: 34 Estimated: 40
Step-by-step explanation:
The difference between these values is that the actual difference is more accurate. If you're asking for the difference as in subtracting, then 7 is the answer. Hope this helps :)
Answer:
6
Step-by-step explanation:
Actual values = 55 - 21
= 34
Estimated values = 60 - 20 = 40
Difference between actual and estimated values = 40 - 34 = 6
WILL GIVE BRAINLIEST!!!!
1. What is the length of BD?
Ansanswer choice b
Step-by-step explanation:
if one cup of flour is $0.44, How much will 1/2 cup cost?
Answer:
$0.22
Step-by-step explanation:
$0.44 -1/2 cup = $0.22
Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps... Plzzzzzz answer fast
Answer:
60 and 100
Step-by-step explanation:
Look for 2 multiples of 20 which are also factors of 300
No long explanation needed
Find the L.C.M of the given pair of numbers using the prime factors method. 70 and 84
Answer:
420
Step-by-step explanation:
Prime Number: a whole number greater than 1 that cannot be made by multiplying other whole numbers
First prime numbers: 2, 3, 5, 7, 11, 13, 17, ...
Prime Factorization: prime numbers that multiply together to make the original number.
LCM = least common multiple: smallest positive number that is a multiple of two or more numbers
Start by finding the prime factorization of each number.
Start with the smallest prime number: 2
70 ÷ 2 = 35
35 is not divisible by 2 or 3, but is divisible by 5:
35 ÷ 5 = 7
7 is a prime number, so cannot be divided any further
So 70 = 2 × 5 × 7
Start with the smallest prime number: 2
84 ÷ 2 = 42
Again divide by 2:
42 ÷ 2 = 21
Now divide by 3:
21 ÷ 3 = 7
So 84 = 2 × 2 × 3 × 7
Write each number as a product of primes, matching primes vertically when possible
84 = 2 × 2 × 3 × 7
70 = 2 × 5 × 7
Now bring down the primes in each column. The LCM is the product of these factors.
LCM = 2 × 2 × 3 × 5 × 7 = 420
2(4x - 8y) - 9x + 7 as a simplifying expression.
Answer:
2(4x - 8y) - 9x + 7
8x - 16y - 9x + 7
-1x - 16y + 7
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer:
the largest angle are 90 degree
Step-by-step explanation:
let x is the smallest angle
the angles are
x+x+2x=180
4x=180
4x/4=180/4
x=45 degree
2x=90
2 inches is approximately 5 centimeters. Kevin is 66 inches tall. How many centimeters (cm) tall is he?
A song has 12 beats every 5 seconds . How many beats are there in 30 seconds?
Answer:
72 beats
Step-by-step explanation:
sec | 5 | 30
beats | 12 | x
30 divided by 5 = 6
12 times 6 = 72
( THE SUM OF THE MEASURES OF THE ANGLES BELOW IS 180* ) I will give brainlst for whoever gets this right and fills it out
Answer:
2x-10+x+x+10=180, or 4x=180
Step-by-step explanation:
So since the total is 180, you add them all up like an equation.
So,
2x-10+x+x+10
Combine like terms
4x=180
x=45
Then plug it back in to the equations.
x=45
(2x-10)=80
(x+10)=55