Answer:
45cm
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Volume of an hemisphere = 1/2 of volume of a sphere
Volume of hemisphere = 1/2{4/3πr³}
Volume of hemisphere = 2/3πr³
Given
Volume of the hemisphere = 60,750πcm³
60,750π = 2/3πr³
π cancels out
60,750 = 2/3r³
Multiply both sides by 3
2r³ = 60,750×3
2r³=182,250
Divide both sides by 2
r³ = 91,125
Find the ∛ of 91,125 to eliminate the cube on r
r = ∛91,125
r = 45cm
Find the missing length of the right triangle
There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?
Answer:
3/8
Step-by-step explanation:
add 5+1+3=9
and there is 3 cheese pizza so its 3 over 8.
Answer:
3/9
Step-by-step explanation:
In a bowl of marbles, there are 5 red ones, 6 green ones, and 4 blue ones. If two marbles are chosen at random with replacement If two marbles are chosen at random with replacement, find P(red and a blue).
Answer:
4/45.
Step-by-step explanation:
There are a total of 15 marbles in the bowl, so:
P(red) = 5/15 = 1/3
P(blue) = 4/15
Required probability = 1/3 * 4/15
= 4/45
Answer:
P(red, blue) = (5/15)*(4/15) = 4/45
Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2
Answer:
8x +6y -28
Step-by-step explanation:
The outside factor applies to each inside term, so the equivalent expression is ...
-8(-x -3/4y +7/2) = 8x +6y -28
Applying the distributive property once again, we can also write the equivalent expression ...
= 2(4x +3y -14)
__
There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.
what is 60/ 480 ? without calculator
Answer:
1/8
Step-by-step explanation:
You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.
How many quarters are there in $2? A. 2 B. 4 C. 6 D. 8
Answer:
The answer is D.
Step-by-step explanation:
In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2
Answer:
The answer is D.
Step-by-step explanation:
In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2
Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per cubic centimeter.
What formula you would you use to find the density of the paperweight?
How much does the paperweight weigh?
Answer:
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:
[tex]\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g[/tex]
The paperweight weights 300 grams.
Which ordered pair (x,y) is a solution to the following?
y = 2x + 5
O(-2,1)
O(2,7)
O(1,6)
O(-3,11)
Answer:
(-2,1)
Step-by-step explanation:
Use the diagram to find the indicated angle measures.
m<1= degrees
m<2= degrees
m<3= degrees
Please help !
Answer:
Step-by-step explanation:
its m<2=degrees
Answer:
m∠1 = 131
m∠2 = 49
m∠2 = 112
Step-by-step explanation:
The diagram shows a logo made from three circles
Answer:
3cm+2cm+5cm=10cm
%=100
10*10=100
2cm*10=20%
Step-by-step explanation:
the shaded area is width of 2 2/10 or 20/100
Answer:
33%
Step-by-step explanation:
for if u want to do it 4cm then
4+3+3=10
100π cm^2
49π cm^2
16π cm^2
49π - 16π = 33π
33/100 =33%
x^2 + (y-7)=16 what is the radius and what’s the center
Answer:
Rewrite in standard form to find the center
( h , k ) and radius r .
Center: ( 0 , 2 ) Radius: 4
Step-by-step explanation:
Answer:
Rewrite in standard form to find the center
( h , k ) and radius r .
Center: ( 0 , 2 ) Radius: 4
Lol hope this helps
Step-by-step explanation:
1.(09.05
Pizza delivery times at Pizza Time are normally distributed with a mean time of 27 minutes and a standard deviation of 3 minutes. Approximately what percent of pizzas are delivered between 24 and 30 minutes? (2 points)
32%
689
09
99.75
Answer:
About 68% (is that an answer choice?)
Step-by-step explanation:
In a normal distribution (a bell curve), about 68 percent of the data is in the range between one standard deviation below the mean to one standard deviation above. If your mean is 27, and the standard deviation is 3, then one deviation below to one above would be 27 - 3 to 27 + 3, or 24 - 30.
The triangles are congruent by SSS or HL
Answer:
True? What are you asking
Step-by-step explanation:
But yes triangles are congruent by either of those
Answer:
you're not really asking anything, or is this a true/false statement
Step-by-step explanation:
In a random sample of 28 people, the mean commute time to work was 31.7 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean mu. What is the margin of error of mu? Interpret the results.
Answer:
a)The 80% of confidence interval for the Population 'μ' is
(29.9121 ,33.4879)
b) Margin of error of mean ' 'μ' is = 1.7879
Step-by-step explanation:
step(i):-
Given random sample 'n' =28
The mean of the sample x⁻ =31.7 min
The standard deviation of the sample's' =7.2
Step(ii):-
80% of confidence intervals:
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
Degrees of freedom
γ = n-1 = 28-1 =27
[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.20}{2} } = t_{0.1} = 1.314[/tex]
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
[tex](31.7-1.314 X \frac{7.2}{\sqrt{28} } , 31.7+1.314 X\frac{7.2}{\sqrt{28} } )[/tex]
(31.7 -1.7879 , 31.7 +1.7879)
(29.9121 ,33.4879)
b)
Margin of error of mean is determined by
[tex]M.E = {\frac{t_{\frac{\alpha }{2} } s}{\sqrt{n} } }[/tex]
[tex]M.E = {\frac{1.314 X 7.2}{\sqrt{28} } }[/tex]
Margin of error =1.7879
If one gallon of milk costs 3.35, how much would 12 quarts of milk cost
Answer:
10.05 for 12 quarts
Step-by-step explanation:
Given the set of integers one through 12 what is the probability choosing an odd number or a number greater than nine
Answer:
1/4
Step-by-step explanation:
the numbers greater than nine are: 10,11,12
1,3,5,7,9
So that is nine numbers
9/12 can be simplified to 3/4 if you divide by 3
if you like my answer please give me the brainliest. I'm trying to boost my rank and I'm really close
ashley spent $7.14 at one store and $5,24 at another store. how much money did she spend total at the two stores?
Answer:
$12.38
Step-by-step explanation:
what happens to the value of the expression 5/x + 5 as x decreases froma large positive number to a small positive number
Answer:
The value increases
Step-by-step explanation:
the smaller the divisor, the larger the quotient.
What’s the correct answer for this?
Answer:
AB=21 miles
Step-by-step explanation:
Since it's a right angles triangle, we'll use Pythagoras theorem
HYPOTENUSE ²= base² + perpendicular ²
Where hyp=AB, base=16 and perp=13
AB²=16²+13²
AB²=256+169
AB²=425
Taking sq root.
AB=20.6 miles
AB≈21 miles
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2 comma 2 ), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). 0 2 4 6 8 10 0 2 4 6 8 10 x y A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points, (5, 5), (6, 5), (7, 5), (5, 6), (6, 6), (6, 6), (7, 6), (5, 7), (6, 7), and (7, 7), forming a square and the tenth point (2, 2) being below and to the left of the square. a. What is the equation of the regression line for all 10 points? ModifyingAbove y with caretequals 1.647plus 0.706x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? ModifyingAbove y with caretequals 6 (Round to three decimal places as needed.) c. Choose the correct description of the results below. A. The removal of the point has a significant impact on the regression line. B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Answer:B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Step-by-step explanation:
What is the answers?
Answer:
[tex]\frac{(x + 1)}{(x + 3)}[/tex]
Step-by-step explanation:
If you ignore the 7x for the moment, you can see that the numerator can be factored into (x-5)(x+1), and the denominator can factored into (x-5)(x+3).
The (x+5)s can cancel out, so you are left with [tex]\frac{(x+1)}{(x+3)}[/tex] times [tex]\frac{7x}{7x}[/tex]. Since 7x/7x is just equal to 1, our final answer is (x+1)/(x+3).
Hope this helped! :)
Carla Ridley is a high school algebra teacher. Her annual salary is $38,625.00. If she receives a pay check every month of the year, what is her monthly salary?
Answer:
3218.75 a month
Step-by-step explanation:
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would
earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this
Investment?
What is the value of a in the equation below? 2a + 3 = 4a + 5
Please show work :)
If a shirt costs $40 and the amount of tax collected was $2 what is the sales tax rate?
Answer:
5%
Step-by-step explanation:
To find the tax, we take the price times the tax rate
2 = 40* rate
Divide each side by 40
2/40 =rate
.05 = rate
Changing to percent form
5% = rate
Answer:
tax rate = 2 / 40 = 1 /20 = 0.05 *100 = 5%
Step-by-step explanation:
A recent article in the paper claims that government ethics are at an all-time low. Reporting on a recent sample,
the paper claims that 43% of all constituents believe their representative possesses low ethical standards.
Suppose 20 of a representative's constituents are randomly and independently sampled. Assuming the paper's
claim is correct, find the probability that more than eight but fewer than 12 of the 20 constituents sampled believe
their representative possesses low ethical standards. Round to six decimal places.
A. 0.273335
B. 0.734089
C. 0.417890
D. 0.646919
Answer:
Probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is 0.417890.
Step-by-step explanation:
We are given that the paper claims that 43% of all constituents believe their representative possesses low ethical standards.
Suppose 20 of a representative's constituents are randomly and independently sampled.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]
where, n = number of trials (samples) taken = 20 constituents
r = number of success = more than eight but fewer than 12
p = probability of success which in our question is probability that
all constituents believe their representative possesses low
ethical standards, i.e; p = 43%
Let X = Number of constituents who believe their representative possesses low ethical standards
So, X ~ Binom(n = 20 , p = 0.43)
Now, Probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is given by = P(8 < X < 12)
P(8 < X < 12) = P(X = 9) + P(X = 10) + P(X = 11)
= [tex]\binom{20}{9} \times 0.43^{9} \times (1-0.43)^{20-9}+ \binom{20}{10} \times 0.43^{10} \times (1-0.43)^{20-10}+\binom{20}{11} \times 0.43^{11} \times (1-0.43)^{20-11}[/tex]
= [tex]167960 \times 0.43^{9} \times 0.57^{11}+ 184756 \times 0.43^{10} \times 0.57^{10}+167960 \times 0.43^{11} \times 0.57^{9}[/tex]
= 0.417890
Hence, the required probability is 0.417890.
The probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is; C. 0.417890
How to calculate binomial probabilities?
We are given;
proportion; p = 43% = 0.43
sample size; n = 20
P(X = x) = ⁿCₓ * pˣ * (1 - p)ⁿ ⁻ ˣ
Thus the probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is;
P(8 < X < 12) = P(X = 9) + P(X = 10) + P(X = 11)
From online binomial probability calculator, we have;
P(8 < X < 12) = 0.17419889 + 0.14455452 + 0.09913627
P(8 < X < 12) = 0.417890
Read more about binomial probability at; https://brainly.com/question/15246027
a semitruck has 18 wheels. the semitruck has 3 times as many wheels than a garbage truck.how many wheels does a garbage truck have? need by 11;00 am
Answer:
The answer is the garbage truck had 6 wheels
Step-by-step explanation:
Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.
Hope this helps, its my first time answering.
Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to pay $38 in interest?
Answer:
Ummmm 2 I think
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Help!.!.!.!.!.!.!.!.!.!.!.!.!.!!.!.!.!.!.!.!.!.!.!.
Answer:
~ 0.375 centimeters of the snowflake in real life ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
48 = 1 ⇒ x - centimeters of the snowflake in real life
18 x
2. Now let us cross multiply, and solve through simple algebra for x:
48 * x = 18,
x = 0.375 centimeters of the snowflake in real ife
PLEASE HELP!!!
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth.
Answer:
Cylinder A has a volume of 35.34 and Cylinder B has a volume of 58.9, the cylinder B has the greater volume.
Step-by-step explanation:
B= (3.14) 2.5 x 3h = 58.9 Cylinder B = 58.9
A= (3.14) 1.5 x 5h = 35.34 Cylinder A = 35.34
