Answer:
Volume of triangular prism = 126 cm³
Step-by-step explanation:
Given:
Base of side triangle = 6.3 cm
Height of triangular prism = 4 cm
Length of side = 10 cm
Find:
Volume of triangular prism
Computation:
Volume of triangular prism = Area of triangular cross section x Length of side
Volume of triangular prism = (1/2)(b)(h) x Length of side
Volume of triangular prism = (1/2)(6.3)(4) x 10
Volume of triangular prism = (6.3)(2) x 10
Volume of triangular prism = 12.6 x 10
Volume of triangular prism = 126 cm³
Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?
Answer: 4 months
Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.
Answer: 4months
Step-by-step explanation:
Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.
Is 2,12 4,24 6,36 8,48 10,60 proportional
Answer:
Yes
Step-by-step explanation:
12 divided by 2 = 6, 24 divided by 4 = 6, 36 divded by 6 = 6, 48 divded by 8 = 6, 60 divided by 10 = 6.
All answers have 6 so yes it is proportional.
What is the quotient of (x^3 + 3x^2 - 4x - 12) divided by (x^2 + 5x + 6)
Answer: The quotient is (x-2)
Answer:
x-2
Step-by-step explanation:
greater than or less than
Answer:
for what ? put your question completely
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.19 reproductions per hour. Assuming that the mean is 6.4 reproductions and the standard deviation is known to be 1.8, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
Answer:
The minimum sample size required for the estimate is 345.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that [tex]\sigma = 1.8[/tex]
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96*1.8[/tex]
[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]
[tex]n = 344.8[/tex]
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
The diagram shows a rectangle and a diagonal of the rectangle. Length=8.5cm. Width=5.6cm. Work out the length of the diagonal of the rectangle. Give your answer correct to 1 decimal place
Answer:
10.2cm
Step-by-step explanation:
Diagonal= √8.5^2 + 5.6^2
=10.2cm
Magic Video Games, Inc., sells an expensive video games
package. Because the package is so expensive, the company wants to advertise an impressive guarantee
for the life expectancy of its computer control system.
The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.
The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer
life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the
Magic Video packages?
Answer:
Magic Video Games, Inc., sells an expensive video games
package. Because the package is so expensive, the company wants to advertise an impressive guarantee
for the life expectancy of its computer control system.
The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.
The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer
life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the
Magic Video packages?
Step-by-step explanation:
increase 70 in ratio 3:2
draw the graph of the equation:
x+6y=0
please annotate a graph or say the coordinates (for ex: (0, 6))
Answer:
Step-by-step explanation:
Find the surface area of the prism.
Answer: You need to calculate the area of two polygonal bases, i.e., the top face and bottom face.
Step-by-step explanation:
Five hundred students were asked whether they perfer apple juice or orange juice.
Answer:
Step-by-step explanation:
240 said apple juice and 340 said orange juice.
What is the value of the exponential expression below?
36 1/2
Answer:
D. 6
Step-by-step explanation:
[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]
A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
4cm, 11cm, 21cm
Step-by-step explanation:
4(x + 1)(x + 11)
4(x ^ 2 + 12x + 44)
x ^ 2 + 12x + 11 = 231
x ^ 2 + 12x + 11 - 231 = 0
x ^ 2 + 12x - 220 = 0
(x - 10)(x + 22) = 0
x = 10 and x = - 22
4cm , 11cm , 21cm
Hope it helps you xx
Answer:
Dimensions = 4cm, 11cm and 21 cm.
Step-by-step explanation:
x2 + 12x - 220 = 0
x2 + 22x - 10x - 220
= x(x+22) -10(x+22)
=(x+22)(x-10)
x + 22= 0
-22 -22
x = -22 (x cant be negative so this is wrong)
x-10 = 0
+10 +10
x = 10 (positive so its correct)
4 , (10+1), (10+11)
= 4, 11, 21 cm.
Tom has seven blue Margaret Benny has four blue how many blue mop with two they have in all
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
7+4=11
I need help with this question-
36. Cone A is similar to Cone B with a scale factor 3:5. If the surface area of Cone B is 725 ft^2, find the surface area of Cone A.
Answer:
uhh 7 maybe?
Step-by-step explanation:
i dont know
will mark brianliest please help
Answer:
See below.
Step-by-step explanation:
7x^2 = 343 Divide both sides by 7
7x^2/7 = 343/7
x^2 = 49 Take the square root of both sides.
sqrt(x^2) = sqrt(49)
x = +/- 7
Answers
7- 7sqrt(49)- sqrt(49)I think the last two are kind of iffy. I'm not sure you can call them solutions, but the question probably assumes they are. If you use all four answers and get it wrong, them submit +7 and - 7.
Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.
Answer:
0.5 meters a second or 0.5:1
Step-by-step explanation:
10 meters ÷ 20
_______________
20 seconds ÷ 20
=
0.5 meters
_______________
1 second
Emily has a box shaped like a rectangular prism that is full of sugar cubes. Each sugar cube has a volume of 1 cubic centimeter. The top layer has a width of 6 cm and a length of 11 cm. There are 3 layers of sugar cubes.
Answer:
198
Step-by-step explanation:
11x6=66x3=198
Hope this helps! :)
Help!
This is the problem
1+10k+1-7k
Answer:
3002
Step-by-step explanation:
Very simple, just add them up.
Find the value of x
Answer:
hello
Step-by-step explanation:
4x+3x+2x=180⁰
9x=180⁰
x=20
hope it helps
have a nice day
Answer:
x= 20
Step-by-step explanation:
4x+3x+2x=180
9x=180
x=180/9
so
In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
Answer:
12
Step-by-step explanation:
a maintence worker is replacing worn rope on 6 flagpoles.The worker needs 40 feet of rope for each flagpole.At the hardware store,rope is sold by the yard.how many yards of rope does the worker need to buy for all flagpoles
Answer: 80
Step-by-step explanation:
Do 6 x 40=240 to find the amount of rope needed in ft
Do 240 divided by 3 to convert to yards
A car manufacturer has two production plants in different cities. Every day, plant A produces 120 of a certain
type of car, while plant B produces 80 of those cars. On average, all of these cars have a paint thickness of
0.04 mm with a standard deviation of 0.003 mm.
Every day, quality control experts take separate random samples of 10 cars from each plant and calculate the
mean paint thickness for each sample. They then look at the difference between those sample means.
Consider the formula:
031-32 =
02
+
ni 12
Why is it not appropriate to use this formula for the standard deviation of TA
IB?
Answer: We cannot assume independence for the cars sampled from plant B.
Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”
Answer: We cannot assume independence of the cars sampled from plant B.
Step-by-step explanation:
please help.
grocery store workers restock cans of soup and bags of rice at constant rates. which item was restocked at a faster rate and what is the rate? let x represent the number of minutes and y represent the total number of bags or cans
Answer:
Cans of soup are restocked at a faster rate
Step-by-step explanation:
With an equation y=mx+b, m = slope
m of rice = 12
The slope of the graph for the cans of soup is 30/2 = 15
m of soup = 15
15 is greater than 12
a pack of candy bars has 6 bars. Each bar weighs 3.86 ounces. How much does the pack weigh?
Answer:
23.16 punces
Step-by-step explanation:
6x3.86=23.16
Answer: 23.16 ounces
Step-by-step explanation:
If there are 6 candy bars that each weigh 3.86 ounces, you need to add up all of the weights to find the total pack weight. 6*3.86=23.16
*If by any chance you need your answer to be in pounds, divide the answer by 16 (16 ounces in a pound). 23.16/16= 1.45 pounds
Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
2^2+6^2=x^2
4+36=x^2
40=x^2
[tex]\sqrt{40}=x[/tex]
[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]
Hope that helps :)
Answer:
sqrt(40) or approx. 6.324555
Step-by-step explanation:
a^2 + b^2 = c^2 (Pythagorean Theorem)
6 is a, 2 is b, and x is c, or the hypotenuse.
Plug in the values
6^2 + 2^2 = x^2
Simplify
36 + 4 = x^2
40 = x^2
Square root both sides
sqrt(40) = x
An air conditioning system can circulate 430 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.
The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
Here,
An air conditioning system can circulate 430 cubic feet of air per minute.
We have to find the cubic yards of air which can be circulate in per minute.
What is the value of cubic yard in cubic feet?
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Now,
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92
So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
Learn more about the cubic feet visit:
https://brainly.com/question/27530276
#SPJ2
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
35+70=105, 180-105=75 so the answer is c 75°
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
It is D Because I'm soo Smart And the Question is easy
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH C
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
C) using your equation from b will rosalina have enough money for her new tv in four weeks?
also) how would the equation change if rosalina stopped working wasn't able to deposit $40 and had to instead withdraw $40 a week? Which part of your equation would change?
please help!
THANK YOU!!
Answer:
Let M represent the amout at any time.
She saves $40 per week so total amount becomes 40x in any specified week.
where x is the number of weeks.
In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes
M = 40x+500
Simply put number of week in place of x and find the total amount.
Step-by-step explanation:
Answer:
for c it is no
Step-by-step explanation:
it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700