Answer:
165 in³
Step-by-step explanation:
Volume of a cone is:
V = ⅓Ah
where A is the area of the base and h is the height.
V = ⅓ (45 in²) (11 in)
V = 165 in³
Ms Davis is doing an activity with her statistic students where she gives them a 20 question multiple top choice test and they know none of the answers. Students need to guess on every question and each question has 5 possible choices, 1 of the which is correct.
What is the mean and standard deviation of the number of questions that each student gets correct?
Answer:
The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.
Step-by-step explanation:
Let the random variable X be defined as the number of correct answers marked by a student.
It is provided that each question has 5 possible choices, 1 of the which is correct.
Then the probability of marking thee correct option is:
[tex]P(X)=\frac{1}{5}=0.20[/tex]
There are a total of n = 20 questions to be answered.
As the students does not the answer to any question, they would be guessing for each question. This implies that for a random question, all the five options has the equal probability of being correct and each of the five options can be correct independently from the other.
All these information above indicates that the random variable X follows a Binomial distribution with parameters n = 20 and p = 0.20.
The mean and standard deviation of a Binomial distribution are:
[tex]\mu=np\\\\\sigma=\sqrt{np(1-p)}[/tex]
Compute the mean and standard deviation of the random variable X as follows:
[tex]\mu=np=20\times 0.20=4\\\\\sigma=\sqrt{np(1-p)}=\sqrt{20\times 0.20\times(1-0.20)}=1.789[/tex]
Thus, the mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.
According to the question,
The probability of making 3 correct options will be:
→ [tex]P(X) = \frac{1}{5}[/tex]
[tex]= 0.20[/tex]
Total number of questions,
n = 20As we know,
The mean will be:
→ [tex]\mu = np[/tex]
By substituting the values, we get
[tex]= 20\times 0.20[/tex]
[tex]= 4[/tex]
and,
The standard deviation will be:
→ [tex]\sigma = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{20\times 0.20\times (1-0.20)}[/tex]
[tex]= 1.789[/tex]
Thus the responses above are correct.
Learn more about standard deviation here:
https://brainly.com/question/20896613
simplify the expression (3k / 8)^2
Answer:
9k/64^2 (9k^2/64^2)
Step-by-step explanation:
Answer:
9k^2/64
Step-by-step explanation:
3*3=9
k*k=k^2
8*8=64
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D
Step-by-step explanation:
Answer:C and D
Step-by-step explanation:
7x^2-42x=0
First find the highest common factor of 7x^2 and 42x
7x^2=7 x X x X
42x=2 x 3 x 7 x X
Highest common factor is 7x
7x(x-6)=0
7x=0. or x-6=0
x=0. or x=6
If f(x)=9x+2, What is the value of the function when x=4?
If f(x)=9x+2, for what value of x is the value of the function 29?
Answer:
1) 38
2) 3
Step-by-step explanation:
f(x)=36+2
f(x)=38
29=9x+2
27=9x
x=3
Question: What is the value of the function at x=−2?
Answer: y=2
Step-by-step explanation: I took the test.
*THIS IS THE CORRECT ANSWER. PLEASE DON'T ANSWER 3. IT IS WRONG!*
Subtracting by adding up 65-39
Answer:
26Step-by-step explanation:
In order to subtract by adding up 65-39, we need to add -39 to the value of 65. This can be rewritten in this way;
65+(-39)
The equation above is similar to the one given because the product of a minus and a plus sign will still give us back a minus sign.
on solving;
65+(-39) = 26
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answer:
The correct answer is 56.6666666667 second's
Answer:
56 2/3
Step-by-step explanation:
If a punnet of strawberries wrighs 100g, how many punnets would weigh 1 kg
Step-by-step explanation:
1kg = 1000g so
10 x 100 = 1000
So 100 punnets of strawberries weigh 1 kg
Rewrite the percentage in the sentence below as a decimal.
The 20 overseas investors own 7.2% of the business.
Answer:
0.072
Step-by-step explanation:
Answer:0.072
Step-by-step explanation:
7.2% = 7.2/100
7.2 ➗ 100=0.072
xin orders five identical loaves of bread
Is there anything else that goes with the question or is that it?
c. two hundred thirty-one and five tenths - in decimal standard form
Answer:
231.5
five tenths = 0.5
You need to be taller than 48" to ride the roller coaster. Which of the following inequalities shows the height Susan has to be to ride the roller coaster.
h < 48"
h > 48"
h ≤ 48"
h ≥ 48"
Answer:
> 48"
Step-by-step explanation:
> represents greater than 48"
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answer:
0,8,5
Step-by-step explanation:
x+22 <32
Subtract 22 from each side
x+22-22 <32-22
x <10
The choices that fit
0,8,5
Answer:
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
Step-by-step explanation:
x + 22 < 32
This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5
x = 0
0 + 22 < 32
22 < 32
Is 22 less than 32? It is! So it belongs to the solution set.
x = 10
10 + 22 < 32
32 < 32
32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.
x = 8
8 + 22 < 32
30 < 32
Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it belongs to the solution set.
x = 71
71 + 22 < 32
94 < 32
Is 94 less than 32? No. 71 does not belong to this solution set.
x = 15
15 + 22 < 32
37 < 32
37 is not less than 32. Therefore it doesn't belong to the solution set.
x = 5
5 + 22 < 32
27 < 32
Is 27 less than 32? Yes. Therefore, it belongs to the solution set.
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
add 5 1/2 kg to 450g
1kg = 1000g
51/2 kg= 51/2×1000=51×500=25500g
25500g+450g= 25950g
Answer:
[tex]5950g[/tex]
Step-by-step explanation:
[tex]5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g[/tex]
Now let's add.[tex] \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g[/tex]
So the correct answer is,[tex] = 5950g = 5kg \: 950g[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the solution to the system of equations?
3 x + 10 y = negative 47. 5 x minus 7 y = 40.
(1, –5)
(1, 5)
(–1, –5)
(–1, 5)
Answer:
(1, –5)
Step-by-step explanation:
It is relatively easy to try the offered solutions to see what works.
(1, -5)
3(1) +10(-5) = -47 . . . true
5(1) -7(-5) = 40 . . . true
(1, -5) is the solution
_____
As a check, you can try some of the other choices:
(1, 5)
3(1) +10(5) ≠ -47
(-1, -5)
3(-1) +10(-5) ≠ -47
(-1, 5)
3(-1) +10(5) ≠ -47
None of the other choices works in the first equation, so they're not the solution.
Answer:
(1,-5)
Step-by-step explanation:
1)get desmos
2)put in numbers
3)where they intersect is the answer.
easy as pie... oh wait pie ain't easy...
easy as ramen
FInd the permiter of a square with an area of 702.25 square yards
Answer:
The perimeter of the square is 106yd
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a square
a = area = 702.25yd²
s = side
a = s * s
we replace the values
702.25yd² = s * s
702.25yd² = s²
√(702.25yd²) = s
26.5yd = s
The side of the square is 26.5yd
Now we have to use the formula to calculate the perimeter of a square
p = perimeter
s = side = 26.5yd
p = 4 * s
we replace with the known values
p = 4 * 26.5yd
p = 106yd
The perimeter of the square is 106yd
Answer:106 yards
Step-by-step explanation:
Length=L
Area=702.5
Area of square=L x L
702.5=L X L
702.5=L^2
L=√(702.5)
L=26.50
perimeter of square=4 x L
Perimeter of square=4 x 26.50
Perimeter of square=106
Perimeter of square=106 yards
55 POINTS IF YOU GET RIGHT THEN GOATED AND BRAINIEST!!
Answer:
17 i would say it is D
18 i belive it is B
19 it is c
20 A
A bag contains 10 Yellow, 4 Green and 7 Blue marbles. Find the following probabilies.
P(blue)
Answer:
1/3
Step-by-step explanation:
The total number of marbles
10+4+7 = 21
P(blue) = blue marbles / total marbles
= 7 / 21
= 1/3
The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x – 6, what is the second factor?
A. 3x - 4
B. 3x + 4
C. 4x - 3
D. 4x + 3
Answer:
C. 4x - 3
Step-by-step explanation:
The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...
4x -3 . . . . . matches choice C
___
If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.
A number increased by 11 is equal to twice the number decreased by 12
Answer: 10
Step-by-step explanation:
If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.
Answer:
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.Step-by-step explanation:
Your question does not say, "check all that apply," but I see three possible answers.
A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.
B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.
D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.
E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.
_____
Additional comment
My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.
Healthy grains is planning a new design for its best-selling oatmeal. It has four containers to choose from
The question is incomplete:
Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.
Container A: A cylinder with height 7 inches and diameter 5 inches.
Container B: A cylinder with height 10 inches and B = 12.57 inches squared.
Container C: A cylinder with height 5.5 inches and radius 4 inches.
Container D: A cylinder with height 6 inches and radius 3 inches.
Answer:
Container B
Step-by-step explanation:
To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.
The formula to calculate the volume of a cylinder is:
V=πr^2h, where
r= radius
h= height
πr^2= base area
Container A:
The radius is half the diameter, so 5/2=2.5.
V= 3.14*(2.5^2)*7= 137.37
Cost= 137.37*0.03= 4.12
Container B:
12.57 inches is the base area, so:
V= 12.57*10= 125.7
Cost= 125.7*0.03= 3.77
Container C:
V= 3.14*(4^2)*5.5= 276.32
Cost= 276.32*0.03= 8.28
Container D:
V= 3.14*(3^2)*6
V= 169.56*0.03= 5.08
According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.
Ginger still has 40 percent of her book to read. If she has read 180 pages, how many pages does she still have to read?
Answer:
Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:
N = 180 x (100 - 40)/40 = 270 pages
Hope this helps!
:)
please help me I would really appreciate it this really affects my grade need the answer the ASAP
Answer:
27/6, 4 3/6, or simplified version 4 1/2
Step-by-step explanation:
Always convert the mixed numbers into an improper fraction before you solve, this makes it easier to solve.
2 4/6 = 16/6
1 5/6 = 11/6
3 4/6 = 22/6
Now we solve. Remember, you do NOT add the denominator, leave it as 6 not 12. You only add the numerator.
16/6 + 11/6 = 27/6, 4 3/6 or simplified as 4 1/2
22/6 + 5/6 = The same as above.
A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.
Answer:
The answer is
6.25×30= 18.75
I'm not sure but this is what I think
please answer these, it is urgent
Answer: 1 is D
2 is c
Step-by-step explanation:
Carpetland carpet installers incur an average cost of $300 for each carpet installed. Joan Chin, the firm’s vice president, proposes a new procedure for installations, which she hopes will be more efficient. Joan plans to run a trial and hopes that the results of a trial period will enable her to conclude with a level of significance of 0.05 that the new procedure reduces the average cost to install a carpet. If Joan's hypothesis test results in a Type II error, what would this mean?
Answer:
A Type II error happens when the null hypothesis failed to be rejected, although it is false and the alternative hypothesis is true.
In this context, would be that the test does not give enough evidence to support the claim that the new procedure reduces the average cost, although it really does reduces it.
The new procedure is effective, but the sample does not give enough evidence.
Step-by-step explanation:
How many boys are there in an introductory geology course if 360 students are enrolled and there are five boys to every seven girls?
Answer:150 branliest
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
360/(5+7)=30
30*5=150
Solve each equation.
13 = -2w
Answer:
w = -6.5
Step-by-step explanation:
We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!
A ball is thrown straight up from a cliff. The function f(x)= -4.9t^ + 17t +19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is the height reached? Round your answer to one decimal place.
Answer:
33.7 m at 1.7 seconds
Step-by-step explanation:
For quadratic ax^2+bx+c, the line of symmetry (x-coordinate of the vertex) is ...
-b/(2a)
For your quadratic, the vertex (highest point) is reached at time ...
t = -(17)/(2(-4.9)) = 17/9.8 ≈ 1.7 . . . . seconds
__
The height at that time is ...
f(17/9.8) = (-4.9(17/9.8) +17)(17/9.8) +19 = 289/19.6 +19 ≈ 33.7 . . . meters
_____
Comment on the function evaluation
We have used the "Horner form" of the function to make evaluation easier.
f(t) = (-4.9t +17)t +19
25 POINTS HELP ASAP , Please read question THEN answer correctly also will give BRAINLIEST! No guessing.
Answer:
B and D
Step-by-step explanation:
Simply set each factor, that is the expression in each set of brackets equal to 0;
This will give the equations that you need to solve to get the roots.
