The scores on a final exam were approximately normally distributed with a mean of 82 and a standard deviation of 11. If 85 students took the exam, and above a 60 is a passing grade, how many students failed the exam?
A. 2
B. 12
C. 13
D. 1
Answers
Please, see the attached file.
Thanks.
Related Questions
Which term describes a function in which the y-values form a geometric sequence? A. Exponential function B. Linear function C. Linear increase D. Exponential growth
Answers
In a geometric sequence, the ratio of any two consecutive numbers that form the sequence is equal. In other words, they have common ratio.
Write 8 square root of z to the 3 in exponential form
Answers
The local weather report states that the probability that it will snow today is 20% and the probability that it will snow tomorrow is 40%. Which of the following is a true statement?
A.
It is not very likely that it will snow both today and tomorrow.
B.
It is very likely that it will snow both today and tomorrow.
C.
It is impossible that it will snow both today and tomorrow.
D.
It is certain that it will snow both today and tomorrow.
Answers
The probability of it snowing both today and tomorrow is 8%, based on the given probabilities for individual days. Therefore, the most accurate statement is that it's not very likely for it to snow on both days.
Explanation:The question revolves around understanding the concept of probability. In the context of probability, you multiply the probabilities of two independent events (like it snowing on two different days) to get the probability of both occurring.
To find out if it will snow both today and tomorrow, we multiply the probability it will snow today (20% or 0.2) by the probability it will snow tomorrow (40% or 0.4). This gives us a probability of 0.08 or 8%, which means that it's not very likely that it will snow both today and tomorrow.
So, the correct answer would be Option A: It is not very likely that it will snow both today and tomorrow.
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Find the volume of the figure the diameter of the base is 4 cm
The figure is a cylinder that has d= 4 cm and h= 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm)
Please help! Thanks!
Answer Choices:
A. 22π cm^3
B. 152/3 π cm^3
C. 62/3 π cm^3
D. 46/3 π cm^2
Answers
D
Total volume = volume of cylinder + volume of hemisphere
Total volume = pi * r^2 * h + 2/3 * pi * r^3, where r = 2 and h = 2.5
total volume = 46/3 pi cm^2
What is the volume of a sphere if the radius is 9?
Answers
Answer is 3053.63
Answer: [tex]Volume = 972\pi units^{3}[/tex]
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.
[tex]Volume = (\frac{4}{3})(\pi)(9 units)^{3}[/tex]
Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.
[tex]Volume = (\frac{4}{3}) (729 units^{3}) (\pi)[/tex]
Notice that we can cross cancel [tex]3[/tex] in [tex]\frac{4}{3}[/tex] and [tex]729[/tex] to [tex]1[/tex] and [tex]243.[/tex]
[tex]Volume = (4) (243units^{3}) (\pi)[/tex]
[tex]Volume = 972\pi units^{3}[/tex]
What is the area of this polygon?
units²
5-sided polygon on a coordinate plane with vertices F, N, S, C, W. Point f is at (negative 4, negative 2), point N is at (2, 4), point s is at (5, negative 2), point c is at (5, negative 4), and point w is at (negative 4, negative 4)
Answers
Step 2) Find the area of this rectangle. The area is 18 square units because it is 2 units high and 9 units across (9*2 = 18). You can count out the spaces or you can note how we go from x = -4 to x = 5 so subtracting the values gives -4-5 = -9 which has an absolute value of 9.
Step 3) Find the area of triangle FSN. The base is 9 units and the height is 6 units (count out the spaces or subtract y values). So the area is A = b*h/2 = 9*6/2 = 54/2 = 27
Step 4) Add up the area of the rectangle to the area of the triangle: 18+27 = 45
Final Answer: 45 square units
note: another way to find the answer is to find the area of rectangle WABC where point A is at (-4,4) and point B is at (5,4). Then subtract off the triangular areas of AFN and BNS
In this exercise we have to use the knowledge of polygon area to calculate the area of a trapezoid, in this way we find that:
[tex]45 units[/tex]
So find the area of this rectangle, this area will be:
[tex]9*2 = 18[/tex]
Find the area of triangle FSN, this area will be:
[tex]A = b*h/2 = 9*6/2 = 54/2 = 27[/tex]
Sum all the areas will be:
[tex] 18+27 = 45[/tex]
See more about area at brainly.com/question/1631786
Given that (5,-8) is on the graph of f(x), find the corresponding point for the function f(x+2)
Answers
the transformation
f(x)--------> f(x+2)
that means
A point (x,y) in graph of f(x)------> become a point (x-2, y) in graph of f(x+2)
hence
point (5,-8)-------------> become a point (5-2,-8)-----> (3,-8)
the answer is
the point (3,-8)
Final answer:
The corresponding point for the function f(x+2), given that the point (5,-8) is on the graph of f(x), is (3, -8) due to the horizontal shift of 2 units to the right.
Explanation:
If the point (5,-8) is on the graph of f(x), and we want to find the corresponding point for the function f(x+2), this means that we are dealing with a horizontal shift of the original graph of f(x). The point (5,-8) indicates that when x is 5, the value of f(x) is -8. To find the corresponding point on f(x+2), we need to subtract 2 from the x-coordinate of the original point because the graph of f(x+2) will be shifted 2 units to the right.
Therefore, the corresponding point on the graph of f(x+2) would be (5 - 2, -8), which simplifies to (3, -8).
What is the surface area of a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches? 150 square inches 150 cubic inches 170 square inches 170 cubic inches
HELPPPP
Answers
Answer:
Option (3) is correct.
The surface area of a rectangular prism of given dimension is 170 square inches.
Step-by-step explanation:
Given : a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches.
We have to find the surface area of a rectangular prism of given dimension.
Since a rectangular prism whose base is 5 inches by 6 inches
That is length (l)= 5 inches
Width (w) = 6 inches
and height (h) = 5 inches.
Also . [tex]\text{surface area of a rectangular prism}=2(lw+wh+hl)[/tex]
Substitute, we have,
[tex]\text{surface area of a rectangular prism}=2(5\cdot 6+5\cdot 5+5\cdot 6)[/tex]
simplify , we have,
surface area of a rectangular prism = 170 inches²
Thus, the surface area of a rectangular prism of given dimension is 170 square inches
Convert. If necessary, round to the nearest tenth. (Recall: 1 mi ≈ 1.61 km) km/h ~ 10 mi/h
Answers
Answer:
10 mile per hour = 16.1 kilometers per h our
Step-by-step explanation:
We know that
1 mile = 1.61 kilometers
We are supposed to convert speed given in miles per hour (mph) to kilometers per hours (kmph)
In order to do so ,
1 mile = 1.61 kilometers
1 mile per hour = 1.61 kilometers per hour
Multiplying both sides by 10 we get
10 miles per hour = 1.61 *10 kilometers per hour
10 miles per hour = 16.1 kilometers per hour
Hence our speed in kilometers per hour is 16.10 kmph
You have 23 coins, including nickels, dimes, and quarters. if you have two more dimes than quarters, and the total value of the coins is $2.50. how many of each kind of coin do you have?
Answers
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
Hi there i hope this will help
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
answer is 11An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.
Answers
1. ______________ is process that you can do over and over, where each result does not affect the next.
Ex. Flipping a coin, rolling dice, choosing a card, etc.
Answers
Probability experiment or a trail is process that you can do over and over, where each result does not affect the next
Explanation: Trail is defined as a procedure that can repeated any number of times and the result of one trial does not affect the next. This mean each trail or a probability experiment is independent and not associated with the last result.
Effects of suckling length (45, 75 and 120
d.and rearing type on cortisol level, carcass and meat quality characteristics in kivircik lambs.
Answers
The two square pyramids are similar. Find the total volume of both pyramids if the ratio of their surface areas is . 9/16
Answers
If the ratio of surface area is 9/16, then the ratio of linear dimensions is sqrt(9/16)=3/4, and the ratio of the volumes is (3/4)^3=27/64.
Therefore the total volume = (1+27/64)*volume of the larger pyramid
= (91/64)*volume of the larger pyramid.
Answer:
B.
Step-by-step explanation:
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = -16t^2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
A: 0.5 < t < 1
B: 0.5 < t < 2
C: 1 < t < 2
D: 1 < t < 1.5
Answers
Remember that to find the vertex [tex](h,k)[/tex] of a parabola of the form [tex]a x^{2} +bx+c[/tex] we use the vertex formula: [tex]h= \frac{-b}{2a} [/tex], and then, we evaluate our function at [tex]h[/tex] to find [tex]k[/tex].
We can infer for our parabola that [tex]a=-16[/tex] and [tex]b=16[/tex], so lets replace those values in our formula:
[tex]h= \frac{-b}{2a} [/tex]
[tex]h= \frac{-16}{2(-16)} [/tex]
[tex]h= \frac{-16}{-32} [/tex]
[tex]h=0.5[/tex]
Now we now that the ball reaches its maximum height in 0.5 seconds.
Next, we are going to determine how long it takes for the ball to hit the ground. To do that we are going to set the time [tex]f(t)[/tex] equal to zero and solve for [tex]t[/tex]:
[tex]0=-16t^2+16t+32[/tex]
[tex]16t^2-16t-32=0[/tex]
[tex]16(t^2-t-2)=0[/tex]
[tex]t^2-t-2=0[/tex]
[tex](t+1)(t-2)=0[/tex]
[tex]t=-1[/tex] or [tex]t=2[/tex]
Since time cannot be negative, the answer is [tex]t=2[/tex]
We can conclude that a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground is B: 0.5 < t < 2
Answer:
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = −16t2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
B is correct!
:)
The sum of two numbers is 66. the larger number is 2 more than 3 times the smaller. what are the two numbers?
Answers
66 = l + s
l = 2 + 3s
66 = 2 + 3s + s
66 = 2 + 4s
66 - 2 = 64
64 = 4s
64 / 4 = 16
66 = l + 16
66 - 16 = 50
50 - 2 = 48
16 + 2 = 18
66 = 48 + 18
Identify the parameters in y = a*bkx.
Answers
Thus the parameters here are a, b and k. k is the constant of proportionality.
The frequency of the musical not B3 is about 246.94 Hz. What is the frequency of the note a perfect fifth below B3
370.42 Hz
246.94 Hz
241.94 Hz
164.63 Hz
Answers
The frequency of the note a perfect fifth below B3 will be
246.94×2/3 = 164.62667
The appropriate choice is ...
164.63 Hz
plz help in the picture below
Answers
= 4(1/4) + 18
= 1 + 18
= 19
answer
A) 19
A certain number of bacteria are in a petri dish. If the growth rate is 2.7 percent per hour, how many hours will it take the bacteria to double in number?
Answers
Using the rule of 70, which states that the doubling time in hours is equal to 70 divided by the growth rate percentage, it will take approximately 25.93 hours for the bacteria to double in number at a growth rate of 2.7 percent per hour.
Explanation:To calculate the time it will take for the bacteria to double in number with a growth rate of 2.7 percent per hour, we can use the rule of 70. The rule of 70 states that we can find the doubling time by dividing 70 by the percentage growth rate.
Doubling time = 70 ÷ growth rate percentage = 70 ÷ 2.7 ≈ 25.93
Therefore, it will take approximately 25.93 hours for the bacteria to double in number.
What is the value of y?
Please enter your answer, as an exact value
Answers
y = tan(60) * 5
and you know tan(60) = √3
so
y = 5√3
answer
5√3 (exact value)
So to Solve this we are going to be using Tangent.
Tangent: opposite/adjacent
Tan60 = y/5
Tan60 * 5 = y/5 *5
Tan60 * 5 = y
8.66 = y
Please help me with this
Answers
To find slope we can choose 2 points that are on the line.
For example, (180, 10) and (30, 16)
slope = (y2-y1)/(x2-x1)=(16-10)/(30-180)=6/(-150)= - 0.04
y= - 0.04x+17.2
Choose the scientific notation that best represents the standard notation given. 0.000000000143 g
Answers
Moving decimal to the right means, the exponent of 10 will be negative when the number is written in scientific notation.
Since, we have to move the decimal by 10 digits, the exponent of 10 will be -10.
Therefore, the number written in scientific notation will be:
[tex]0.000000000143=1.43*10^{-10} [/tex]
Answer:
B. 1.43 × 10‐¹⁰ g
hope this helps
What are the cordinates
Answers
The cordinates are, The third one.
Plz give Brainlist If right.
A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability of a lock without all even digits? There to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is
Answers
Answer:
There are 24 ways to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are 3000 ways to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is 3000/3024
Step-by-step explanation:
In short, C, B, C
Got it correct on edge, have a nice day:)
The probability of a 4-digit lock code without all even digits is 0.9934 or 99.34%.
Since zero is not allowed as a digit, there are only 4 even digits available: 2, 4, 6, and 8.
Now, the number of lock codes with all even digits:
For the first digit, there are 4 even digits to choose from (2, 4, 6, 8).
For the second digit, there are 3 even digits left to choose from.
For the third digit, there are 2 even digits left to choose from.
For the fourth digit, there is 1 even digit left to choose from.
So, the total number of lock codes with all even digits
= 4 × 3 × 2 × 1
= 24.
Now, Number of lock codes without all even digits
= Total number of lock codes - Number of lock codes with all even digits
= 3,024 - 24
= 3,000
Now, the probability:
= Number of lock codes without all even digits / Total number of lock codes
= 3,000 / 3,024
= 0.9934
So, the probability is 0.9934 or 99.34%.
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ASAP
A central angle θ in a circle with a radius of 3.5 centimeters intercepts an arc with a length of 6.3 centimeters.
What is the radian measure of θ ? Enter your answer, as a decimal, in the box.
Answers
S = r * θ
Where,
r: radio
θ: central angle
Clearing θ we have:
θ = S / r
Substituting the values we have:
θ = 6.3 / 3.5
θ = 1.8 radians
Answer:
the radian measure of θ is:
θ = 1.8 radians
Best answer gets Brainliest:
The line that is the perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5)
I have to write the equation of the line in standard form but I can't find out what kind of equation to write for this. Whoever can help me with this will get Brainliest.
Answers
1) We must find the equation of the line RS:
R=(-1;6)S=(5;5)
y-6=(x+1)(5-6)/(5+1)y=-1/6*(x+1)+6
y=-x/6+35/6 Slope=-1/6
The perpendicular has the slope 6.
2) Find M the middle of [RS]M=((5-1)/2;(6+5)/2)=(2:11/2)
3) Equation of the perpendicular bisector:
y-11/2=(x-2)*6y=6x-12+11/2
So y=6x-13/2
And sorry for my poor english
3)
Which expression is equivalent to 60x^20 y^24/30x^10 y^12
Answers
= (60/30) · (x^20/x^10) · (y^24/y^12)
= 2 · x^(20-10) · y^(24-12)
= 2 · x^10 · y^12
Answer: 2 x^10 y^12
The answer is B on edg :)
Sal is making bracelets for a fundraiser.he uses 6 inches of yarn per bracelets.how many bracelets can sal make with 5 feet of yarn
Answers
5 feet = 5 x 12 = 60 inches
1 braclet = 6 inches, find nnumber of bracelets:
60 ÷ 6 = 10
Answer: Sal can make 10 bracelets
How do I do this? Show all work please! THANKS
RANDOM ANSWERS WILL BE MODERATED!
Answers
the medians are of course the segments going from a vertex to the middle of the opposite side.
now, one thing about the centroid, it cuts all medians in a 2:1 ratio.
by looking at the graph, we can see that BP is the longer, so BP : PM are on a 2:1 ratio, thus
[tex]\bf \cfrac{BP}{PM}\implies \cfrac{7x+4}{2x+5}=\cfrac{2}{1}\implies 7x+4=4x+10 \\\\\\ 3x=6\implies x=\cfrac{6}{3}\implies x=2\qquad \qquad \qquad\qquad \boxed{PM=2(2)+5}[/tex]