Answer: 0.125
Step-by-step explanation:
Since there is a fifty/fifty chance of the lights being red or green, therefore, the chances of Millie getting 3 consecutive green lights will be:
= (50%)³
= 0.5³
= 0.5 × 0.5 × 0.5
= 0.125
Therefore, the probability is 0.125
Since the area of the circle is I the area of the square, the
volume of the cone equals
o
I the volume of the pyramid or
(ench
or
srh.
o
the volume of the pyramid or (2n
o
the volume of the pyramid or
(2nm or s?h.
o
the volume of the pyramid or : ( 20%(h) or şir?h.
Answer:
(b)
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex] or [tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Step-by-step explanation:
Given
[tex]Ratio = \frac{\pi}{4}[/tex]
See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:
[tex]V = \frac{a^2h}{3}[/tex]
Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:
[tex]a = 2r[/tex]
The volume becomes;
[tex]V = \frac{(2r)^2h}{3}[/tex]
To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:
[tex]V_2 = Ratio * V[/tex]
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
[tex]V_2 = \frac{\pi}{4} * \frac{(2r)^2h}{3}[/tex]
Open bracket;
[tex]V_2 = \frac{\pi}{4} * \frac{4r^2h}{3}[/tex]
Cancel out 4
[tex]V_2 = \pi * \frac{r^2h}{3}[/tex]
The above can be written as:
[tex]V_2 = \frac{1}{3} * \pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
So, we have:
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
or
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
what is
78x98=
34x65=
45x78=
23x65
11x98=
1,029x75,674=
Answer:
78x98 7644
34x65 2210
45x65 2925
23x65 1495
11x98 1078
1029x75674 77868546
Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3
Answer:
[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]
Ms Adams shares out 28 pencils between Niamh and Jack in the ratio 2:5 How many pencils does each child get?
Answer:
Niamh gets 8 and Jack gets 20
Step-by-step explanation:
Answer:
Niamh gets 8 and Jack gets 20!
A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?
Answer:
56 rabbits
Step-by-step explanation:
Given that t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.
In 126 days, there are
= 126/7
= 18 weeks
It means that the rabbit population will double
= 18/6 times
= 3 times
Since there are currently 7 rabbits at the end of 6 week,
P(6) = 7 * 2
= 14
At the end of 12 weeks
P(12) = 14 * 2 = 28
At the end of 18 weeks
P(18) = 28 * 2 = 56
Hence there will be 56 rabbits at the end of 126 days
pls helppp!
what is the area of the the shaded region?
a. 11 square cm
b. 19 square cm
c. 16 square cm
d. 6 square cm
Market researchers were interested in the relationship between the number of pieces in a brick-building set and the
cost of a set. Information was collected from a survey and was used to obtain the regression equation ý = 0.08x +
1.20, where x represents the number of pieces in a set and is the predicted price (in dollars) of a set. Which
statement best describes the meaning of the y-intercept of the regression line?
Answer: c. When the number of pieces is 0, the predicted price is $1.20. This interpretation is not meaningful because a set cannot have 0 pieces
Step-by-step explanation:
The y-intercept in a regression equation shows the value of y when x is 0. For this scenario therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.
This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.
When the number of pieces is 0, the predicted price is $1.20.
This interpretation is not meaningful because a set cannot have 0 pieces.
We have given that,
Market researchers were interested in the relationship between the number of pieces in a brick-building set and the cost of a set.
What is the regression equation?
regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
The y-intercept in a regression equation shows the value of y when x is 0. For this scenario, therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.
This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.
To learn more about the regression equation visit:
https://brainly.com/question/25987747
#SPJ2
Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Determine the amount of money in the account in 15 years
Given:
The principal value = $10,000
Rate of interest = 8.5% compounded monthly.
To find:
The amount of money in the account in 15 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year, t is the number of years.
Number of months in an year is 12. So, n=12.
Substitute [tex]P=10000, r=0.085, n=12, t=15[/tex] in the above formula.
[tex]A=10000\left(1+\dfrac{0.085}{12}\right)^{12(15)}[/tex]
[tex]A=10000\left(\dfrac{12.085}{12}\right)^{180}[/tex]
[tex]A=35626.53335[/tex]
[tex]A\approx 35626.53[/tex]
Therefore, the amount of money in the account in 15 years is $35626.53.
Find the measure of a
Answer:
104 degrees
Step-by-step explanation:
The whole shape will come to 360 degrees, so if you add 126 degrees and 26 degrees it will come to 152 degrees. You then subtract 152 degrees fro. 360 degrees, this will give you 208 degrees. Then you divide 208 degrees by 2 that results in 104 degrees. So 104 degrees is the answer.
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
87.9
Step-by-step explanation:
I searched it up
Which of the following is an example of replication?
A. Assigning test subjects to test groups arbitrarily
B. Studying the effects of both therapy and no therapy on students
C. Performing five different studies of the same drug
D. Testing patients by giving them either a new drug or no drug
Answer:
Step-by-step explanation:
The radius of a cylinder is measured in inches. What unit will the volume be measured in?
will give brainlist
cubic inches
feet
square inches
inches
Answer:
Cubic Inches
Step-by-step explanation:
I hope this helps you.
Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *
Answer:
The cylinder with a height of 7.0 cm and a diameter of 10.0 cm
Step-by-step explanation:
v = πr²h
---------------------
cylinder with a height of 10.0 cm and a diameter of 7.0 cm
v = π(3.5²)10
v = 384.65 cm³
cylinder with a height of 7.0 cm and a diameter of 10.0 cm
v = π(5²)7
v = 549.5 cm²
549.5 > 384.65
The second cylinder holds more
In one week, the number of bowls a potter made
was 6 times the number of plates. He made
90 bowls during the week. Write an equation that
could be used to find the number of plates p that
the potter made.
Answer:
Step-by-step explanation:
the number of bowls was 6 times the number of plates.
b = 6p
He made 90 bowls during the week.
90 = 6p
p = 15
He made 15 plates during the week.
You just brought a tank for your fishes. You have a height of 6ft. The length is 5times the width w. The volume of the tank is 600 ft^3. What is the width of the tank to the nearest tenth of a foot? The formula is V = (l)(w)(h)
Answer:
w = 20 feet
Step-by-step explanation:
V = lwh
600 = 5(6)w
600 = 30w
w = 20
here's a pic pls helpp
Answer: your answer is B 3/4
Step-by-step explanation:
Hope this helps you! Have a great day! ^v^
Answer:
[tex]x = \frac{3}{4} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} = \frac{1}{4} [/tex][tex]3 \times \frac{x}{3} = 3 \times \frac{1}{4} [/tex][tex]x = 3 \times \frac{1}{4} [/tex][tex]x = \frac{3}{4} [/tex]Hope it is helpful....The equation =+y3115
is solved in several steps below.
For each step, choose the reason that best justifies it.
Answers anyone I’m at risk for summer school ;-;
Answer:
1 is B 2 is D 3 is A 4 is A 5 is C 6 is A
What are the ordered pairs of the
solutions for this system of equations?
f(x)=x^2 – 2x + 3; f(x) = -2x + 19
(4, [?]); ([ ], [])
Answer:
(4, 11) is one ordered pair and (-4, 27) is the other ordered pair
Step-by-step explanation:
(1) f(x) = x^2 - 2x + 3 (2) f(x) = -2x + 19
-2x + 19 = x^2 - 2x + 3
x^2 - 16 = 0
(x - 4)(x + 4) = 0
x = 4 or x = -4 -2(4) + 19 = 11
-2(-4) + 19 = 27
So, when x = 4, y = 11 and when x = -4, y = 27
(4, 11) is one ordered pair and (-4, 27) is the other ordered pair
Please help I really dont know where to start and am having a hard time with this unit
So a slope of 1/4 means that for every 4 steps you take forward, you would go up 1.
With this, beginning at the point (6,3), lets take 4 steps back and go down 1. This is instead of going forward, as that value would be outside of your graph We would end up at (2,2). By using these two points, you can graph your line.
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated
above. Find the probability that a male chosen at random watches comedy.
A. 2/15
B. 1/6
C. 1/3
D. 5/11
Answer:
C would be your answer. If im not mmistaken but im 99% sure
Step-by-step explanation:
Analyze the table below and complete the instructions that follow.
Sports
Drama
Comedy
Total
Male
8
2
5
15
Female
3
6
6
15
Total
11
8
11
30
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a male chosen at random watches drama.
please answer this questionnnnnnnnnnnnnnnnnnnnnn
Answer:
D. 30 Ft.
Step-by-step explanation:
Split the trapezoid into two shapes for an easier process .
The ideal split shall result in two shapes: A rectangle and a right triangle .
Rectangle Formula: L · W = A
Substitution: 6 · 4 = 24 Ft.
Right Triangle Formula: ( B · H ) ÷ 2 = A
Substitution: ( 3 · 4 ) ÷ 2 = 6 Ft.
Add the separate areas together to get the final result .
24 + 6 = 30 Ft.
Nick bought 17 hamburgers for his friends. Each hamburger cost him $1.91, including tax. Which is the best estimate of the total cost
of the hamburgers?
A sector of a circle has a central angle measure of 300. The diameter of the circle is 26 centimeters What is the approximate area of the sector
Need help pls! soon as posible :<
Answer:
B Is the answer
Step-by-step explanation:
I think
i know your looking at this plz just answer this i need help i will give brainlist and 5.0 and say thanks
Answer:
Bottom right corner answer
hi can someone pls help me, it’s confusing
Answer:
options C -x^2/3z
Step-by-step explanation:
this is the correct answer after we cancelled them
Answer:
C
Step-by-step explanation:
This requires you to know the law of quotient for exponents. For this I recommend separating everything with the same variable into its own fraction to make it easier so you have (-2x^4/6x^2), (y^2/y^2), (z/z^2). Then to simplify you divide the coefficients and signs like normal but for the exponents, you subtract the exponent of the numerator from the denominator. This gives
(-x^2 / 3), (1), and ( 1/z), which you can multiple together to get c.
Hope this helps. Ask if you need me to clarify something.
pls help balanceing this equation PCl3=P4+CL2
Answer: 4PCL3 -> P4 + 6CL2
Step-by-step explanation:
Sabrina is building a bookend from two identical wooden rectangular prisms as shown in the figure. what is the volume of wood used in sabrina bookends
A.320 cubic centimeters
B.640 cubic centimeters
C.656 cubic centimeters
D.672 cubic centimeters
Answer:
A. 320 cubic centimeters
Step-by-step explanation:
First, you want to multiply 4 by 4 to get 16. Then what you want to be is multiply 16 by 20 and you will get 320 cubic centimeters.
AREA of circles pls help
Answer:
50.24cm2
Step-by-step explanation:
pi=3.14 so a=3.14x4square which equals 50.24cm2