Answer:
radius = 51.70 cm
Step-by-step explanation:
Volume = (2/3) π r³
Volume = 92160 π
Radius = ?
Using the above formula
V = (2/3) π r³
r³ = v/((2/3) π)
r³ = ((92160 π) x 3) / (2 x π)
r³ = 276480/2 because (π/π) = 1
r³ = 138240
Taking cube root on both sides
r = 51.70 cm
Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving
A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?
Answer:
[tex]2\pi[/tex]
Step-by-step explanation:
first you take 60°/360°= 1/6 then you take 1/6 and multiple it by [tex]2\pi[/tex] and that equals [tex]\frac{\pi }{3}[/tex] finally take [tex]\frac{\pi }{3}[/tex] times the radius (6) and that should equal [tex]2\pi[/tex]
PLATO USERS #platolivesmatters
The measure of the arc length associated with the angle is 2π inches OR 6.28 inches
Calculating the length of an arcFrom the question, we are to determine the measure of the arc length
The measure of the arc length can be calculated by using the formula,
[tex]l = \frac{\theta}{360 ^\circ}\times 2\pi r[/tex]
Where [tex]l[/tex] is the length of the arc
θ is the central angle
r is the radius of the circle
From the given information,
r = 6 inches
θ = 60°
Putting the parameters into the formula, we get
[tex]l = \frac{60 ^\circ}{360 ^\circ}\times 2 \pi \times 6[/tex]
[tex]l = \frac{1}{6}\times 2 \pi \times 6[/tex]
[tex]l =2\pi[/tex] inches OR 6.28 inches
Hence, the measure of the arc length associated with the angle is 2π inches OR 6.28 inches
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Please help and will give brainliest
9514 1404 393
Answer:
12 m³
Step-by-step explanation:
The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...
V = LWH
V = (2 m)(4 m)(3 m) = 24 m³
The top platform has dimensions 2m × 3m × 2m, so a volume of ...
V = (2 m)(3 m)(2 m) = 12 m³
The bottom platform has a larger volume by ...
24 m³ -12 m³ = 12 m³
The bottom prism has a 12 m³ larger volume.
Answer:
the answer is 12m squared
What number is 40% of 720
Answer:
288
Step-by-step explanation:
Hope it helps :>
Answer:
288
Step-by-step explanation:
a fair coin is flipped four times . use a tree diagram to find the probability of observing. exactly two heads . enter youe answer as a percentage to the nearesr percent
The probability of observing exactly two heads when a fair coin is flipped four times is found to the nearest percent to be 38%.
What is probability?It is the ratio that shows the likelihood of an event occurring out of all the other possible events.
The tree diagram is drawn. The tree diagram is labeled such that the red lines represent the number of times exactly two heads are observed. The total number of events where exactly two heads are observed = 6The total number of events = 16∴ P( Getting exactly two heads when a coin is flipped four times) = 6/16 = 0.375
Convert the into percent as follows:0.375*100 = 37.5%
≈ 38%
Therefore, we have found the probability of observing exactly two heads when the coins are flipped four times to the nearest percent as 38%.
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The yield of a chemical process is being studied. Fromprevious experience, yield is known to be normally distributedand 3. The past five days of plant operation have resulted inthe following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3.Find a 95% two-sided confidence interval on the true mean yield.
Answer:
(87.85 ≤ μ ≤ 93.11)
Step-by-step explanation:
Given the data:
91.6, 88.75, 90.8, 89.95, 91.3
Mean, m = Σx / n
n = sample size = 5
Mean = 452.4 / 5 = 90.48
Standard deviation, σ = 3
Zcritical at 95% = 1.96
Confidence interval :
Mean ± Error margin
Error margin = Zcritical*σ/sqrt(n)
Error margin = 1.96 * 3/sqrt(5)
Error margin = 2.630
Lower boundary : 90.48 - 2.630 = 87.85
Upper boundary : 90.48 + 2.630 = 93.11
(87.85 ; 93.11)
Mario Works in a bakery He made 90 more loaves of bread on Saturday then he did on Sunday he made 70 more loaves of bread on Monday that he did on Sunday if he made 340 loaves off Bread on Monday how many lobes are friendly do you make on Saturday
Hi can u tell me whats going on here?
Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started
with a large normally distributed population of test scores whose maximum was 99 points.
She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those
tests and repeated this process for a total of 40 trials. Her results are summarized in the dotplot below,
where each dot represents the maximum score from a sample of 6 tests.
HHH
HU
75
80
85
90
95
100
Sample maximum
Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum
Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.
Step-by-step explanation:
make a number line and show all values of that x that x < -1 and x > 1
Hey I’d be happy to help!
1st you have to draw your blank number line (make it a decent length
<———————————————————>
Then you have to label your 0 that will separate all positive and negative numbers you put
On the right side of 0 your going to have positive numbers (1,2,3,4,5,6)
And on the left side of zero, it’s gonna be negative numbers.
Then the tricky part:
Your going to make a line from -1 to 1 on your number line. Then because your greater then and less than signs do not have an “or equal to” line... your gonna put an open circle around -1 and 1 to show that x<-1 and X>1
Answer:
Here is the answer on a number line
Step-by-step explanation:
Hope this helps!
Carter asks 40 of his friends what their favorite type of music is. He records the data in a circle graph to display the results. Carter compares the data for each person he interviewed. Which two types of music account for three-fifths of the people interviewed?
A) Alternative & Jazz
B) Rock & Hip Hop
C) Rock & Alternative
D) Rock & Jazz
E) Alternative & Hip Hop
(This is the hint my teacher gave me, but I still don't understand :/ "So you need to figure out what is three-fifths of 100. If you multiply both the numerator and denominator by 20 (because 20 x 5 = 100) you can find that percentage of people.
3 60
__ = ___
5 100
So which two types of music add to be 60% of the entire circle?")
Answer:
E) Alternative & Hip Hop
Step-by-step explanation:
A subgenre of hip hop music that encompasses a wide range of styles that are not typically identified as mainstream. AllMusic defines it as follows: "Alternative rap refers to hip hop groups that refuse to conform to any of the traditional stereotypes of rap, such as gangsta, bass, hardcore, pop, and party rap. Instead, they blur genres drawing equally from funk and pop/rock, as well as jazz, soul, reggae, and even folk."[2]
2 1/2% as a simplified fraction
Answer:
Step-by-step explanation:
5/2% is in the fraction form
520 is the decimal form
hope this helps
NEED HELP DUE AT 10:20 am Find the measure of missing angle
Ok the sum of the angles or a triangle is 180˚
90+40=130
So the answer in 50˚.
Let X and Y be the following sets:
X = {}
Y = {2,3, 5, 7, 11, 13}
Which of the following is the set X Y?
Answer: the answer is B
Step-by-step explanation:
A circle has a diameter of 7 inches. Find the radius
Answer:
radius= 3.5 in
Step-by-step explanation:
Answer: 3.5
Step-by-step explanation:
The diameter is the length from one side of the circle to the other the radius is half that
Please help me if not that’s ight
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I have no idea how to solve this
Answer:
x is 11.2 ur welcome
Step-by-step explanation:
I need these three and they shouldn’t be too hard.
Answer:
i dont know
Step-by-step explanation:
sorry my man my school is still just going into these kind of questions ):
Hillary is choosing a notebook. She can have a three-ring or two-ring binder in red, blue, green, or striped, with or without interior pockets. How many combinations of notebooks does she have? Solve step by step.
Answer:
Step-by-step explanation:
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less
Answer:
The minimum sample size which should be used is 315.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.
This means that [tex]\pi = 0.92[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?
The minimum sample size that should be used is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]
[tex]n = 314.2[/tex]
Rounding up
The minimum sample size which should be used is 315.
The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?
Answer: Letter B)
A=πr2
d=2r
A=1
4πd2=1
4·π·162≈201.06193
Step-by-step explanation:
Hope this Helps! : )
B
Your answer is B, your welcome.
Can someone help me please and show work thank you
Answer:
60% decrease
Step-by-step explanation:
To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).
The minus shows its a decrease in percentage by 60%
(I hope this helps srry if it doesn't make sense)
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer
Answer:
59.5 cm
Step-by-step explanation:
Find the area of the entire rectangle first. Formula is base times height: [tex]9*8[/tex]
=72
Next, find the missing sides by subtracting [tex]8-3[/tex] and [tex]9-4[/tex].
=5 and 5
Then find the area of the triangle. Formula is base times height divided by 2: [tex]\frac{5*5}{2}[/tex]
=12.5
Then subtract to find only the shaded section: [tex]72-12.5[/tex]
=59.5 cm
Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.
Answer:
32pi
Radius=1/2 Diameter
radius=2
Area of circle= pi*radius^2= 4pi
4pi*8=32 pi
Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks?
which expression is a factor of x^2-5x-6
Answer:
(x - 6)(x + 1)Step-by-step explanation:
These are the factors
First, find the factors of 6 6 / / \ \ 1 2 3 61 and 6 make 52 and 3 also make 5But which one makes -5-3+2=-1 -2+3=1So not 2 and 3-1+6=5 -6+1=-51 and -6 worksThis means the factors as (x - 6) and (x + 1).Hope this helps,
Kavitha
P.S - Have an awesome day!!
Use the unit price of gasoline at both gas stations to determine which gas station charges more for gasoline (gallons). Be sure to include the unit prices in your answer. Show or explain your work.
Answer: Gas station P
Step-by-step explanation:
When you plot gas station M on the graph all the values are under the line meaning it gas at station M costs less than station G.
Gas station P charges more than gas station M.
What is unit rate?A unit rate means a rate for one of something.
Given is a table and a graph,
When we compare each, we get,
Gas station P is charging $20 for 5 gallons, and gas station M charges $19 for same.
Hence, gas station P charges more than gas station M.
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I WILL GIVE BRAINERLEST ABD LIKE AND 5 STARS IF YOU ANSWER
How many people n would be seated in
each section if there were 27 total
people in the gym?
Answer:
IT SAYS IT 27 PEOPLE WOULD BE SEATED
Step-by-step explanation:
A principal of $2900is invested at 3.25% interest, compounded annually. How much will the investment be worth after 9years? Use the calculator provided and round your answer to the nearest dollar.
Given:
Principal = $2900
Rate of interest = 3.25% compounded annually.
Time = 9 years.
To find:
The amount of investment after 9 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right){nt}[/tex]
Where, P is principal, r is rate of interest, n number of times interest compounded in an year and t is the number of years.
Substitute P=2900, r=0.0325, n=1 and t=9.
[tex]A=2900\left(1+\dfrac{0.0325}{1}\right)^{1\times 9}[/tex]
[tex]A=2900\left(1+0.0325\right)^{9}[/tex]
[tex]A=2900\left(1.0325\right)^{9}[/tex]
Using calculator, we get
[tex]A=3867.306[/tex]
[tex]A\approx 3867[/tex]
Therefore, the worth of the investment after 9 years will be $3867.
expression that is equivalent to 7 3/4 + 3 5/6 - 1 3/4 that uses addition instead of subtraction.
Answer:
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6
Step-by-step explanation:
we do not want the minus sign.
7 3/4 + 1 3/4 - 3 5/6 = 7 3/4 + 1 3/4 - 3 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 7+ 3/4 + 1 + 3/4 - 3 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 7 + 1 - 3 + 3/4 + 3/4 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 5 + 3/4 + 3/4 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6
An expression is shown.
95-34
What is the value of the expression?
Answer:
61
Step-by-step explanation:
95
- 34
_______
61