Answer:
Cone Volume = (PI * radius^2 * height) / 3
96 cc = (PI * radius^2 * 14) / 3
(96 * 3) / (PI * 14) = radius^2
radius ^ 2 = 6.5480890872
radius = 2.5589234235
diameter = radius *2 = 5.117846847 cm
diameter = 5.12 cm (rounded)
Step-by-step explanation:
Find the value of 8 to the 3rd power divided by 8 squared multiplied by 4 squared.
Answer:
0.5
Step-by-step explanation:
8^3 = 512
(8^2)*(4^2) = 1024
512/1024 = 0.5
There are 10 students in a class: 6 boys and 4 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?
Answer:
1/ 6
Step-by-step explanation:
Therefore, the required probability is 1/6.
Answer:
1/6
Step-by-step explanation:
Think of drawing 1 student at a time without replacement.
First drawing:
p(boy) = 6/10
Second drawing:
p(boy) = 5/9
Third drawing:
p(boy) = 4/8
p(3 boys) = 6/10 * 5/9 * 4/8 = 3/5 * 5/9 * 1/2 = 3/18 = 1/6
Answer: 1/6
An investor invested a total of $900 in two mutual funds. One fund earned a 7% profit while the other earned a 4% profit. If the investor's total profit was $51, how much was invested in each mutual fund? The amount invested in the mutual fund that earned 7% was?
Answer:
y = 400 (amt invested at 4%)
x = 500 (amt invested at 7%)
Step-by-step explanation:
Kindly check attached picture for detailed explanation
Find the volume of the triangular prism.
Answer:
225/4 sqrt(3) in ^3
Step-by-step explanation:
The volume is found by
V = Bh
The B is the triangle
B = s^2 sqrt(3)/4
= 5^2 sqrt(3)/4
25/4 sqrt(3)
We know the height is 9
V = 25/4 sqrt(3) *9
V = 225/4 sqrt(3)
this is approximately 97.42785793 in^3
plz hurryA 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction. A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table. A = B =
Answer:
The complete table is shown below.
Step-by-step explanation:
The data provided is:
Number Rolled Observed Frequency Relative frequency
1 10 [tex]\frac{10}{60}=\frac{1}{6}[/tex]
2 12 [tex]\frac{12}{60}=\frac{1}{5}[/tex]
3 10 [tex]\frac{10}{60}=\frac{1}{6}[/tex]
4 10 [tex]\frac{10}{60}=\frac{1}{6}[/tex]
5 8 [tex]\frac{8}{60}=\frac{2}{15}[/tex]
6 10 [tex]\frac{10}{60}=\frac{1}{6}[/tex]
TOTAL 60 1
The complete table is shown above.
Answer:
A= 1/5
B.2/15
Step-by-step explanation:
trust me i got it right on edg
What is the volume of a sphere with a radius of 9.9 ft, rounded to the nearest tenth of a cubic foot?
Answer:
the answer is attached to the picture
The volume of a sphere with a radius of 9.9 ft is 4062.3 cubic foot.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of the sphere is 4/3πr³
Radius is 9.9 ft.
Volume =4/3×3.14×(9.9)³
=4/3×3.14×970.3
=12187/3
=4062.3
Hence, the volume of a sphere with a radius of 9.9 ft is 4062.3 cubic foot.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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When a higher confidence level is used to estimate a proportion and all other factors involved are held constant
Options :
A) the confidence interval will be wider.
B) the confidence interval will be narrower.
C) there is not enough information to determine the effect on the confidence interval.
D) the confidence interval will be less likely to contain the parameter being estimated.
E) the confidence interval will not be affected.
Answer: A) The confidence interval will be wider
Step-by-step explanation: In statistics, When a higher confidence interval is used to estimate a proportion with other factors being held constant, the confidence interval will be wider. Since the confidence interval is aimed at tweaking the precision of our measurement or estimation, when we adopt a higher confidence level, we are trying g to reduce our chances of being wrong and hence increasing our precision and thus widening the level of confidence in the result obtained. That said, 95% confidence interval is wider than 90%. And 99% is wder than 95%.
Factor completely. 10x^3 + 2x^2 + 5x + 1
Answer:
(5x+1)(2x^2+1)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
What is the experimental probability of not rolling a 2?
Answer:
5/6
Step-by-step explanation:
(−2)(−2)+4 is equal to
Answer:
8
Step-by-step explanation:
[-2][-2]=-2 x-2=4
4+4=8
PLEASE HELP!!! Due very soon!! - The graph below represents the height of a football pass, in feet, x seconds after it is thrown. Which of the following best describes the interpretation of f(2) ?
I think it is either b or c. Please tell me which is correct!!! Pls!!!
Answer:
The answer is D.
Step-by-step explanation:
By the time 4 seconds has passed, the line is at the bottom of the graph, which represents the time the ball has landed. I hope this helps.
MAKE AN EQUATION, solve it.
A man has $0.70 in dimes and nickels. He has 8 coins altogether. How many nickels does he have?
Answer:
Number of nickels: 2,
Number of dimes: 6
Step-by-step explanation:
Say d ⇒ number of dimes, n ⇒ number of nickels; from this we can formulate two equation knowing the cost per dime ⇒ $ 0.1, and the cost per nickel ⇒ $0.05
d + n = 8,
0.1 * d + 0.05 * n = 0.7 ⇒ Let us solve through substitution
d = 8 - n into 0.1 * d + 0.05 * n = 0.7,
0.1 * ( 8 - n ) + 0.05 * n = 0.7,
0.8 - 0.1 * n + 0.05 * n = 0.7,
0.8 - 0.1n + 0.05n = 0.7,
- 0.05n = - 0.1,
Number of nickels: 2 ⇒ Now let us substitute this value into the first equation as to solve for d, dimes
d = 8 - 2,
Number of dimes: 6
O model the problem containing an unknown number, translate the statement into an equation. Sixteen is five less than a number. Which steps would you take to translate the statement? Replace "is" with =, "less than" with –, and "a number" with n to get 16 = 5 – n. Replace "is" with =, "less than" with +, and "a number" with n to get 16 = n + 5. Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5. Replace "is" with =, "less than" with ÷, and "a number" with n to get 16 = 5 ÷ n.
Answer:
Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5
Step-by-step explanation:
Hi, to answer this question we have to analyze the statement given and write an equation:
Sixteen is five less than a number
So, the number sixteen (16) is (=) five less (-5) than a number (n).
We have to subtract 5 to a number (x) and that expression must be equal to 16.
Mathematically speaking:
16= n-5
So, the correct option is:
Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5
Feel free to ask for more if needed or if you did not understand something.
Answer:
C :)
Step-by-step explanation:
before you go, don't forget to smile:)
HELP GUYS PLEASE ANSWER FAST
Answer:
5/4
Step-by-step explanation:
Slope is y1-y2/x1-x2 so if you plug in the coordinates you get 4-(-1)/4-0 which you would get 5/4
20 is about what percent of 52
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 52 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 52 is 100%, so we can write it down as 52=100%.
4. We know, that x is 20% of the output value, so we can write it down as x=20%.
5. Now we have two simple equations:
1) 52=100%
2) x=20%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
52/x=100%/20%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 20% of 52
52/x=100/20
(52/x)*x=(100/20)*x - we multiply both sides of the equation by x
52=5*x - we divide both sides of the equation by (5) to get x
52/5=x
10.4=x
x=10.4
now we have:
20% of 52=10.4
Step-by-step explanation:
What is the definition of exponential growth?
A. A condition in which a quantity decreases at a steady rate
B. A condition in which a quantity increases at a steady rate
C. A condition in which a quantity increases at a rate that is
proportional to the current value of the quantity
D. A condition in which a quantity decreases at a rate that is
proportional to the current value of the quantity
Answer:
C. A condition in which a quantity increases at a rate that is
proportional to the current value of the quantity
Step-by-step explanation:
Exponential growth is increasing, but not at a steady rate. On a graph, it has a curve instead of being a straight line.
3. An acute triangle with angles measuring 60 degrees,62°, and 58 degrees,
Possible or impossible
Answer:
Possible
Step-by-step explanation:
Ana is saving to buy a bicycle that costs $135. She has saved $98 and wants to know how much more money she needs to buy the bicycle.The equation 135 = x + 98 models this situation, where x represents the additional amount of money Ana needs to buy the bicycle... When substituting for x, which value(s), if any, from the set {0, 37, 98, 135, 233} will make the equation true? *
Answer:
37
Step-by-step explanation:
135-98 equals 37
a basket contains 20 green apples and 30 red apples if a piece of fruit is selected at random from the basket what is the probability that it will not be a red apple
Answer:
because
most people like green apples
A total of 511 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
255
Step-by-step explanation:
EXPLANATION We are looking for the number of adult tickets sold. number of adult tickets sold =x We are given that there were 61 more student tickets sold than adult tickets. number of student tickets sold =+x61 The total number of tickets sold was 511.
Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 6 miles from her home. The football field is 7 miles from the library.
a. How far is library from the park?
b. How far is the park from the football field?
Answer:
a. 6.48 miles b. 9.54 miles
Step-by-step explanation:
a. 7/x=x/6
x^2=42
x=6.48
b. 13/x=x/7
x^2=91
x=9.54
Answer:
A. 6.48 miles
B. 9.54 miles
Step-by-step explanation:
hope this helps :-)
y=sin 20 find the period
Answer:
In most cases u are either given the value of "t" or the question would be written this way: y=sin20t where as, when comparing we would get the exact value of T(period) at the end
Find the value of x in the figure below:
a. 20
b. 60
c. 180
d. 40
Answer:
d. 40
Step-by-step explanation:
2x + x +( x + 20) have to all equal 180 degrees in a triangle.
2x + x + x + 20 = 180
2x + 2x + 20 = 180
4x + 20 = 180
4x = 180 - 20
x = (180-20) / 4
x = 160 / 4
x = 40
Answer:
D. 40Step-by-step explanation:
This is the answer that was right for me, I just did this question :) Hope this helps! :D
Which statement is true regarding the graphed functions?
f(4) = g(4)
f(4) = g(-2)
f2) = g(-2)
f(-2) = g(-2)
Answer ASAP
Answer: f(2) = g(-2)
Step-by-step explanation: f(x) line if u go to the x axis you see that it’s 2 the x intercept.....
The g(x) line you go to the x axis and see it is -2, that is the x intercept
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate height of the figure when its area is 12.25π square centimeters.
Answer:
The height is 3.43 centimeters, approximately.Step-by-step explanation:
Notice that there are 16 pieces from the circle, which means each sector has an angle of
[tex]\theta = \frac{360\°}{16}=22.5\°[/tex]
Where all sectors have equal area.
Now, the area of the whole circle is [tex]12.25 \pi \ cm^{2}[/tex], if we use the formula of its area, we'll find the radius of the circle
[tex]A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5[/tex]
Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.
To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.
[tex]cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43[/tex]
Therefore, the height is 3.43 centimeters, approximately.
833 ÷ 64 showing remainders
Answer:
13.015625
Step-by-step explanation:
Answer:
13 remainder 1.
I have attached the work to your question.
Please see the attachment below.
I hope this helps!
Evaluate l-a21, given a = 5, b=-3, and c= -2.
-10
10
-25
25
Answer:
10
Step-by-step explanation:
assuming those are meant to be absolute value brackets you have -5 x 2 which is -10 but because it is in the absolute value lines all answers become positive =10
HELPPPPPPP GIVING 100 POINTS FOR ANSWER.......Ivan bought a box of macadamia nuts to bring home from his trip. A rectangular prism with a length of 18 centimeters, width of 15 centimeters, and height of 3 centimeters. What volume of nuts could the container hold? 270 centimeters cubed 369 centimeters cubed 738 centimeters cubed 810 centimeters cubed
Answer:
18 x 15 x 3 is 810. The volume is 810.
Step-by-step explanation:
Volume of cuboid= Length*Width*Breadth
Volume of container= 18 cm X 15 cm X 3cm
Volume of container=810
Hope i helped
Answer:
[tex]810[/tex] centimeters cubed.
Step-by-step explanation:
The formula: [tex]Length * width * height[/tex]
[tex]18 *15*3 =810[/tex] centimeters cubed
Someone please help me
Answer:
3/2
Step-by-step explanation:
Since the lines goes through the point (0,0)
We have a point (2,3)
The slope is y/x = 3/2
I need help ASAP! What is the value of x and what is the value of y?
Answer:
Step-by-step explanation:
4x and 5x are supplementary, so they add up to 180.
4x + 5x = 180 and
9x = 180 so
x = 20.
Because DE and BA are parallel, then 2y and 70 degrees are alternate interior and are equal to one another.
2y = 70 so
y = 35