Answer:
A. V/B=H B. The height, h, is 6 cm.
Step-by-step explanation:
A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.
B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6
a. The formula for height is h = V/B.
b. The height of the pyramid is 6 centimetres.
What is the total surface area of a given pyramid ?The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.
According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.
Given V = Bh
∴ h = V/B.
h = 216/36
h = 6 cm.
learn more about pyramid here :
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If = and x > 0 what is the value of x ?
O valor de x é 45º
Explicação:Confia no pai
To reduce laboratory costs, water samples from public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a probability of finding bacteria in a public swimming area. Find the probability that a combined sample from public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The probability is [tex]P(X \ge 1 ) = 0.003996[/tex]
Given that the probability is less than 0.05 , it means that it is low enough so that further testing of the individual samples is rarely necessary
Step-by-step explanation:
From the question we are told that
The probability of finding bacteria in a public swimming area is p = 0.002
Generally the probability of not finding bacteria in a public swimming area is mathematically represented as
[tex]q = 1- p[/tex]
=> [tex]q = 1- 0.002[/tex]
=> [tex]q =0.998[/tex]
Generally the the probability that a combined sample from public swimming areas will reveal the presence of bacteria is equivalent to the probability that at least one of the sample will reveal the presence of bacteria and this is mathematically represented as
[tex]P(X \ge 1 ) = 1 - P(X')[/tex]
Here [tex]P(X')[/tex] means that none of the 2 sample have bacteria which is mathematically represented as
[tex]P(X') = q^2[/tex]
Here 2 signifies that we are considering two samples
So
[tex]P(X') = 0.998^2[/tex]
[tex]P(X') = 0.996004[/tex]
So
[tex]P(X \ge 1 ) = 1 - 0.996004[/tex]
=> [tex]P(X \ge 1 ) = 0.003996[/tex]
The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.
Answer:
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
Step-by-step explanation:
to calculate mean
14.25+ 13.7 +14.02 +14.13+ 13.99 +14.04
= 84.13/6
= 14.02167
average = 14
s = 0.1837
test statistics t:
(bar(x)-mu)/(s/√n)
= 14.02167-14/0.1837/√6
0.02167/0.1837/2.4495
= 0.02167/0.07499
=0.28897
this is approximately 0.29
therefore B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
What is 6/20 of a dollar
BRAINLIEST IS RIGHT
Answer: 30 cents
Step-by-step explanation:
1/20 of a dollar is 5 cents
Then we multiply by the numerator (6) to get our answer....
5x6= 30
Hoped this helps! :)
Christian's furniture store buys a desk and chair at a wholesale price of $320.00 If the markup rate at Christian's store
is 40%, what is the total markup in dollars.
$128
Step-by-step explanation:
you can literally just look it up ya know?
Plz answer this questoin! will give brainliest!
Answer:
25,
8:5
4:3
Step-by-step explanation:
you have to model it as a system of equations.
first, we know there are a total of 65 children, boys and girls. so
[tex]65 = b + g[/tex]
we also know there are 15 more boys than girls so
[tex]b = g + 15[/tex]
now, we can plug the second equation into the first to get
[tex]65 = (g+15)+g[/tex]
so
[tex]2g = 50, g = 25[/tex]
if g = 25, b must = 40, because it is g+15.
the ratio will be 40 boys to 25 girls. 40:25 or 8:5 if you simplify.
if there are 5 more girls, g = 25+5 = 30, so the ratio is 40:30 or 4:3.
Answer:
A) 25
B) 40 : 25
C) 40 : 30
Step-by-step explanation:
I'm not positive on this but I think it might be right
250 people went to a “couples only” party at 9pm. 70 people left at 11pm, how many couples stayed at the party?
Answer:
80
Step-by-step explanation:
Write a valid conclusion using the Law of Detachment or Law of Syllogism given the statements below.
1. If you drive above 55mph you will get a ticket
2. Kate is driving 60 mph.
Answer:
Step-by-step explanation:
Ok so we are going to start with the first statement. If you drive above 55mph you will get a ticket. Lets say that is P. The second statement. Kate drives 60mph. That is our Q.
P>Q
Q>R
P>R
R is our conclusion.
So our conclusion is indeed. Kate will get a ticket.
PLEASE HELP 20 points + brainliest
Simplify: -3 1 over 2 - (-12 1 over 4)
Answer:
4) 8 3/4
Step-by-step explanation:
I looked it up on m a t h w a y. c o m /Algebra
15.03 cm, 14.92 cm, and 15.30 cm. The actual length is 15cm. Which of the following would be most accurate?
Answer:
15.03 cm.
Step-by-step explanation:
Help meeee pleaseeeeee
Answer: A.) y=-2/3x-3
Sam takes a sheet of paper and cuts from one corner to the opposite
comer, making two triangles. If the length of the cut is 41 inches and
the paper is 22 inches long, what is the width of the sheet of paper
(nearest tenth)?
41 in
22 in
width
Answer:
The width is 34.6
Step-by-step explanation:
You have to assume that the cut is a straight cut.
Givens
c = 41
a = 22
b = ?
Formula
a^2 + b^2 = c^2
Solution
22^2 + b^2 = 41^2
484 + b^2 = 1681 Subtract 484 from both sides
484-484 + b^2 = 1681-484 Combine
b^2 = 1197 Take the square root of both sides.
sqrt(b^2) = sqrt(1197)
b = 3*sqrt(133)
b = 34.598
b = 34.6
“Jessica has $300 to buy supplies for her painting.
The canvas is $50 the set of brushes is $32, and every tube of paint is $15.
She wants to buy as many tubes of paint as possible.
A) write an inequality for the scenario
B) what is the maximum number of tubes of paint she can buy?”
Answer:
24
Step-by-step explanation:
50+32=82
300-82=218
218÷15=24
what is 48,020,000 expressed in scientific notation?
What are the answers for the 4 questions below. Please answer all 4 questions. I really need the help thank you.
Answer:
Below
Step-by-step explanation:
18. DHJ
19. AJB
20. 75
21. 130
HELP ASAP WILL MARK BRAINLY
Answer:
[tex]\frac{61}{99}[/tex]
Step-by-step explanation:
let x = 0.616161 (etc.)
make a second equation because you multiply by 100:
100x = 61.616161 (etc.)
subtract from each other
100x = 61.616161
x = 0.616161
you get
99x = 61
solve for x
[tex]\frac{61}{99}[/tex]
-4x – 7 – 3x + 4 = 25
X = ??? :)
an interger that is less than -2 and greater than -3.5
Answer:
Literslly anything less then -2 and greater then -3.5
Step-by-step explanation:
-2.1
-2.2
-2.3
-2.4
-2.5
-2.6
-2.7
-2.8
-2.9
-3.0
-3.1
-3.2
-3.3
-3.4
Question 2 (1 point)
What is 0.000003012 written in scientific notation?
Answer:
3.012 × 10^ − 6
Step-by-step explanation:
hope this helps
Please help, very confused
Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
31,900 divided by 44
Answer:
725
Step-by-step explanation:
use a CALCULATOR -_-
Answer:
725
Step-by-step explanation:
Circle YES or NO The terms -5x and 5x are like terms. PLEASE I NEED IT REALLY QUICK
Answer:
YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.
I hope this helps!
Given that (-8,-6) is on the graph of f(x), find
the corresponding point for the function
f(x) - 3
Answer:-8,-9
Step-by-step explanation:
The second angle of a triangle is twice as large as the first angle. The third angle is 35 greater than the second angle. How large is the first angle?
Answer:
29°
Step-by-step explanation:
Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...
x + 2x + (2x+35) = 180
5x +35 = 180 . . . . collect terms
x +7 = 36 . . . . . . . divide by 5
x = 29 . . . . . . . . . . subtract 7
The first angle is 29°.
Please hurry its urgent Thank you
The function f(x) is graphed on the coordinate plane
What is f(-2)
A)-4
B)-2
C)4
D)0
Find 5/6 of 15. Express your answer in the simplest form.
A department store purchases logo shirts at a cost of $10 per shirt. They mark up the price 100% and put them on
the sales floor. Every month that a shirt doesn't sell, the store reduces the selling price by 25%. After three monthly
markdowns, the final shirt from the shipment is sold. There is a 5% sales tax on the selling price. What is the total
cost to the customer?
Answer:
8.86
Step-by-step explanation:
The final cost to the customer would be:
$8.86
Explanation:
We can find this answer by taking each step individually.
The first step is to determine the cost after the 100% markup.
To get this, we would multiply the original cost by 2.
10*2 = 20.
Now that we have that new cost, we would find the cost after each markdown.
We would get this by taking the cost from the previous month and multiplying by 0.75 (75%), which is how much is left after each markdown of 25%.
First ---> 20*.75 = 15.
Second---> 15*.75 = 11.25.
Third ---> 11.25*.75 = 8.43.
Now that we have the cost of each shirt, we have to find the price along with sales tax.
Since the sales tax is 5%, we need to multiply by the whole cost 100% plus the addition 5% or (1.05).
8.43*1.05= 8.86
in one week katy walks 1,720 meters and runs 1,925 meters. she performs the same workouts for three weeks. how many meters does katy walk and run in three weeks of workouts?
Answer:
10,935 meters.
Step-by-step explanation:
Find how many meters she walks in 1 week, so you add the 1,720 and the 1,925 and you would get 3,645. If she does the same thing for 3 weeks, you multiply the 3,645 by 3, so you get 10,935 meters
By what number should I multiply 1 1/4 to obtain 3/4
4. Una fuerza le proporciona a la masa de 8 Kg. una aceleración de 2.2 m/s2. Calcular la magnitud de dicha fuerza en Newton.
Answer:
Talk in English I don't understand your language.
Step-by-step explanation:
So Talk in
English
OK
Bro.