Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be
[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]
The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
You spent m minutes studying on Monday On Tuesday you studied 15 more minutes than you did on Monday. Wednesday, you studied 30 more minutes than you did Tuesday you studied twice as long on Thursday as you did on Monday on Friday you studied 20 minutes less than you did on thursday
Answer: 7m - 40
Step-by-step explanation:
Monday = m
Tuesday = m + 15
Wednesday = m + 15 + 30 = m + 45
Thursday = 2 × m = 2m
Friday = 2m - 20
The expression will now be:
= m + m + 15 + m + 45 + 2m + 2m - 20
= 7m- 40
The entire digits of pie times the square root of 1
Answer:
3.1415926
Step-by-step explanation:
3.1415926 * 1 = 3.1415926
Answer:
g4 bk.58i
Step-by-step explanation:
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.
Answer:
D.) Add 12+4
Step-by-step explanation:
I took the test on Edge 2021.
which even number is a prime number
Answer:
2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
Answer:
Answer is 2
Step-by-step explanation:
The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.
I hope it's helpful!
1. Does each relation represent a function? Circle Yes or No. a. (2, 2), (2, 6), (3, 5), (1,8) Yes No b. (1, 2), (2, 3), (3, 4), (4, 5) Yes No c. (1, 4), (2, 6), (3, 6), (4, 8) Yes No d. (4, 3), (4, 4), (4, 5), (4, 6) Yes No
help, look at picure
Answer:
x=3
Step-by-step explanation:
61/4=15 1/4
5(3)=15+(1/4)=15 1/4
HELP I NEED HELP ASAP
Answer:
C) Linear
Step-by-step explanation:
To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.
Hope it helps!
BRAINLIEST TO WHOEVER ANSWERS FIRST!
A painter is placing a ladder to reach the third story window, which is 39 feet above the ground and
makes an angle with the ground of 80°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned
feet out from the building.
Answer:
I believe it has to be placed about 8 feet from the base
Step-by-step explanation:
sorry if wrong
If the mean of 5 numbers is 10 and the mean of other 15 numbers is 20 , what is the combined mean of both 20 numbers
9514 1404 393
Answer:
17.5
Step-by-step explanation:
The sum of the 5 numbers is 5·10 = 50.
The sum of the 15 numbers is 15·20 = 300.
The sum of all 20 numbers is then 50+300 = 350, so their mean is ...
mean = sum/number = 350/20 = 17.5
The combined mean of the 20 numbers is 17.5.
Find the coordinates of a point that is on the line y=2x+4
Answer:
can it be any coordinates? if so (0,4) (1,6) (2,8) and (3,10) are a couple of coordinates that would be on that line
Step-by-step explanation:
"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and direction that the plane would have gone if there had been no wind".
Answer:
vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta [tex]= 22.95[/tex]
Step-by-step explanation:
The resultant velocity vr = vp + vw
vp = vector velocity of plane and
vw = vector velocity of wind
vr = vector resultant velocity
in one hour the plane travels 540 miles and hence the speed is 540 mph
Hence vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta
[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]
Marion is driving between two towns that are close together. If she drives 1/5 the distance of the trip in 15 minutes, what is her rate per hour?
Answer: 75 minutes per hour.
Step-by-step explanation:
From the question, we are informed that Marion is driving between two towns that are close together and that she drives 1/5 the distance of the trip in 15 minutes.
The rate per hour will then be:
= 15 ÷ 1/5
= 15 × 5
= 75 minutes
The rate per hour will then be 75 minutes per hour.
If the radius is 10 ft, what will the area of the circle be?
Answer:
A=πr2=π·102≈314.15927ft²
Step-by-step explanation:
Answer:
314.16
Step-by-step explanation:
The formula is [tex]\pi rx^{2}[/tex]
Kevin can travel 24 1 4miles in 1 3hour. What is his average speed in miles per hour?
Answer:
The answer is about 331 miles.
Step-by-step explanation:
I took the test and the answer is correct <3!
Answer:
deeznuts
Step-by-step explanation:
ha got tem
State if the triangles are similar. If so, state how you know they are.
Answer:
The triangles are similar
Step-by-step explanation:
Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.
m∠UDT = m∠EDF because vertical angles are congruetnt
Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.
Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does she need to rent 8 movies?
Answer:
$19
Step-by-step explanation:
Given data
Cost of movie
f(x)=3x+10
Hence the cost of 8 movies is
f(x)=3(8)+10
f(x)=24+10
f(x)=$34
Hence the cost of 8 movies is $34, Kim needs extra
=34-15
=$19
Axel owns stock in a company. He purchased the stock In January at a price of $250 a share. From January to February, the stock price decreased by 38% a share. From February to March, the stock price increased by 20% a share. By what percentage did the price of the stock decrease per share from January to March?
Answer:
25.6%
Step-by-step explanation:
Purchase price = $250 / share
Jan - feb : 38% decrease
(100 - 38)% * 250 = $155
February - March : 20% increase
(100 + 20)% * $155
120% * $155 = $186
Percentage decrease from January to March :
[(250 - 186) / 250] * 100%
(64 / 250) * 100%
0.256 * 100%
25.6%
Equations & Inequalities The value of a baseball card is increasing at a rate of $40 per year. If Tom purchased the card for $300, how many years will it take for the card to at least triple in value?
Answer:
15= number of years
Step-by-step explanation:
Giving the following information:
Current value= $300
Growth per year= $40
Triple value= $900
To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:
Future value= current value + (growth rate per year*number of years)
900 = 300 + (40*number of years)
600= 40number of years
600/40= number of years
15= number of years
Please help me to solve the 7th part !
Answer:
i don't know
Step-by-step explanation:
sorry sorry sorry berry much
please helppppp
due in 15 minsssss helpppp plz i will give 5 stars say thanks and i will mark right answer brainliest
SOLVE FOR q
10.63 = q − –5.63
pls help ty !
question is in the pic
Answer:
He is not correct
which function defines the sequence -16,-22,-28,-34 where f(10)= -70
Answer:
f(n) = -6n - 10.
Step-by-step explanation:
This is arithmetic sequence with first term a1 = -16 and common difference d = -6.
So f(n) = a1 + d(n - 1)
= -16 - 6(n - 1)
= -16 - 6n + 6
= -6n - 10.
Checking:
f(10) = -6(10) - 10 = -70.
The function that defines the sequence is f(n) = -6n - 10.
What is an Arithmetic Sequence ?A sequence of numbers which have a relation between them and the consecutive numbers increase or decrease by a fixed amount is called as an Arithmetic Sequence.
The sequence given is -16,-22,-28,-34
This is arithmetic sequence
first term a1 = -16
common difference d = -6.
The nth term of an arithmetic sequence is given by
f(n) = a1 + d(n - 1)
f(n) = -16 - 6(n - 1)
f(n)= -16 - 6n + 6
f(n)= -6n - 10.
To verify this
f(10) = -6(10) - 10 = -70.
Therefore , The nth term is given by f(n)= -6n - 10.
To know more about Arithmetic Sequence
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Somebody plss (kinda easy tho)
Answer:
74 pesos
Step-by-step explanation:
Let us assume the one peso coins be x
so, number of five peso would be x + 4
And, the total coins is 22
Now the equation is
x + x + 4 = 22
2x + 4 = 22
2x = 22 - 4
2x = 18
x = 9
Five peso coins is 9 + 4 = 13
Now
= 9(1) + 13(5)
= 9 + 65
= 74 pesos
Simplify the expression. Drag and drop a number into each box to complete the simplification.
Answer:
The first one is 3, the second one is 9, the third box is 63 and the last box is 67
Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?
9514 1404 393
Answer:
2 to 3
Step-by-step explanation:
The ratio of side lengths is the square root of the ratio of areas:
32 to 72 = 4 to 9 . . . . simplified ratio of areas
Then the ratio of side lengths is ...
√4 to √9 = 2 to 3
Please help 40 points!!!! What's a Translation of (x+15, y-20). WILL MARK BRAINLIEST FOR RIGHY ANSWER
Answer:
x= y-15
Step-by-step explanation:
hope it helps
Solve for x: 16^2x + 1 = 128
38
83
4
43
Answer:
[tex]16^{2x}[/tex]+1=128
x=4
a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi
You need two formulas for this:
C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius
A = πr² Where A is area, and r is radius
First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.
Answer:
[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]
Step-by-step explanation:
1. Find the Radius
We are given the circumference of 40.82 centimeters. The formula for circumference is
[tex]c=\pi d[/tex]
The diameter is twice the radius, so we can also write this formula as:
[tex]c= \pi 2r[/tex]
Substitute 40.82 for the circumference and use 3.14 for pi.
[tex]40.82 \ cm= (3.14) 2r[/tex]
[tex]40.82=6.28 r[/tex]
6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82
[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]
[tex]6.5 \ cm=r[/tex]
2. Calculate the Area
Now we can calculate the area using this formula:
[tex]a= \pi r^2[/tex]
The radius is 6.5 centimeters and we are using 3.14 for pi.
[tex]a= 3.14(6.5 \ cm)^2[/tex]
Solve the exponent.
(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²[tex]a= 3.14 (42.45 \ cm^2)[/tex]
Multiply.
[tex]a=132.665 \ cm^2[/tex]
The area is 132.665 square centimeters.
Evaluate at the given value: g(x)=1/7x-1, g^-1 (6)
Find the square root. 1/16
Answer:
The square root of 1/16 is 1/4=0.25
Step-by-step explanation:
The square root of 1/16 is 1/4.
To find the square root of 1/16, you can take the square root of the numerator and the denominator separately.
√(1/16) = √1 / √16
Since the square root of 1 is 1, and the square root of 16 is 4:
√(1/16) = 1/4
So, the square root of 1/16 is 1/4.
To know more about square root, refer here:
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