Answer: the answer is x=10
Answer: −2x + 20 = 0
Step-by-step explanation:
Little help here guy
Calculate volume
Answer/Step-by-step explanation:
Problem 1:
Radius = 4.8 cm
Height = 6 cm
Volume of cylinder (V) = πr²h
Plug in the values
V = π*4.8²*6 = 434.29 cm³
Problem 2:
Length of pipe = 26 cm
Internal diameter = 6.5 cm
Thickness = 0.5 cm
Pipe volume (V) = π(R² - r²)h
where,
R = Outer radius = ½(6.5) + 0.5 = 3.75 cm
r = inner radius = ½(6.5) = 3.25 cm
h = height = 26 cm
Plug in the values
V = π(3.75² - 3.25²)*26 = 285.88 cm³
Problem 3:
Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³
Height (h) = 16 cm
Radius (r) = ??
Volume of cylindrical can (V) = πr²h
Plug in the values
2,500 = π × r² × 16
2,500 = 16π × r²
Divide both sides by 16π
2500/16π = r²
49.7 = r²
Take the square root of both sides
√49.7 = r
r = 7.05 cm (nearest hundredth)
Problem 4:
The section of the guttering is ½ of a cylinder
Diameter = 14 cm = 0.14 m
Radius = ½(0.14) = 0.07 m
Volume = 20 litres = 0.02 m³
Length (h) = ??
Volume of the guttering = ½(volume of cylinder) = ½(πr²h)
Plug in the values
0.02 = ½(π*0.07²*h)
0.02*2 = 0.0049π*h
0.04 = 0.0049π*h
Divide both sides by 0.0049π
0.04/0.0049π = h
2.6 = h (nearest tenth)
Length = 2.6 m
Problem 5:
Height of the smaller cylinder (h) = 13 cm
Radius of the smaller cylinder (r) = ½(7) = 3.5 cm
Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³
Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder
Thus:
Volume of cylinder filled to height of 5cm = 500.3 cm³
height (h) = 5
radius (r) = ???
Therefore,
500.3 = π × r² × 5
500.3 = 5π × r²
500.3/5π = r²
31.9 = r²
√31.9 = r
r = 5.6 cm (nearest tenth)
A soup recipe makes 6 cups. How many people does it serve if each serving is 3/4 of a cup?
6
10
8
4
Answer: 8
please see below for work!
factor polynomial 4x^2+4x+1
Answer:
(2x+1)^2
Step-by-step explanation:
Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 8 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Answer:
The probability that the person answered "yes" or was male is 0.537
Step-by-step explanation:
The union of events is equivalent to the disjunction "or". Given two events A and B, the union of events, denoted by A∪B, is defined as the event formed by all the elements that are in A or B. That is, the event A∪B is verified when one of the two or both occurs.
Considering two events A and B with probabilities P (A) and P (B), respectively, the probability of their union is given by:
P(A∪B)= P(A) + P(B) - P(A∩B)
In this case:
A: the person answered "yes" B: the person was maleSo, being the probability calculated as the number of favorable cases divided by the total number of possible cases, then in this case it is known that the number of people who answered yes is 64, while the number of people who responded is not 70. Therefore , the total number of people who answered is equal to 64 + 70 = 134. So, the probability of answering yes is:
P(A)=[tex]\frac{64}{134}[/tex]=0.478
On the other hand, you know that out of 64 people who answered yes, the number of being male is 6. And out of 70 people who answered no, the number of being male is 8. So the probability that men answer yes is calculated as:
P (A∩B) =[tex]\frac{6}{134}[/tex]= 0.045
Finally, with the total number of men equal to 6 + 8 = 14, the probability of being male is:
P(B)=[tex]\frac{14}{134}[/tex] = 0.104
Then:
P(A∪B)= P(A) + P(B) - P(A∩B)
P(A∪B)= 0.478 + 0.104 - 0.045
Solving:
P(A∪B)= 0.537
The probability that the person answered "yes" or was male is 0.537
Jade only need 3 1/4 cans of paint
Answer:
whats the question?
Step-by-step explanation:
Convert: 7 pt 1 c = [] c
Answer:
Pint value is 1 and cup value is 1 pt = 2 c. Sorry if I am wrong!
Step-by-step explanation:
Which steps can be done to both sides of the equation to determine the value of x? 3.2 x - 9.6= 38.4
Answer:
add both sides ny 9.6 and divide both sides by 3.2, hope this helps!
4. What information do you need to classify quadrilateral EFGH as
a square?
Answer:
i think area of quad=area of square(equal sides)
What is 727.526 in word form
Answer:
I believe that's a decimal point
Step-by-step explanation:
If yes then,
Seven hundred and twenty seven point five two six
Answer:
727.526 in word form is :Seventy-five thousand seven hundred and twenty-six
Step-by-step explanation:
hope this helps :)
TRUE OR FALSE:
If 2x−5 = 13, then x=4
Answer:
False
Step-by-step explanation:
Add 5 to isolate varible to get 2x=18. Dived by 2 to get x=9.
Order the numbers from least to greatest
Answer:
2 then the square root of 7 then 9.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
√7,2,9.5
√7=2.645
So
Order the numbers from least to greatest is
2,√7,9.5 is the answer
Find the probability of guessing correctly at least 6 of the 10 answers on a true-false examination.
Answer:
24%
i think
Step-by-step explanation:
Plz help will mark Brainliest What is the length of BC
Is this a test? Cause im pretty sure this is cheating
what is the answer to 7+1+10t
Answer:
18
Step-by-step explanation:
When x is 4, y is 12. If y varies directly as x, which equation relates x and y?
Answer:
12/4
Step-by-step explanation:
y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x
so in this case, it would be 12 divided by 4 resembling that y varies directly as x
at 4 pm charlie realizes he has half an hour to get to his grandmother's house for dinner? if his grandmother lives 40 miles away, how fast will charlie have to drive to get there on time?
Answer:
10 minutes
Step-by-step explanation:
Speed = distance ÷ time, so 40 ÷ 4 = 10
hope this helps :)
Estimate the area of the inregular shape. Explain your method and show your work.
Please help 100 points and brainliest
If f(x)=8x+16, then find f-1 (x)
Solve the equation 4(2x + 1) = 6x - 12
x=-13/2
x = -8
x = 8
X=11/2
Choose a system of equations with the same solution as the following system:
6x + 2y = −6
3x − 4y = −18
a) 8x + 4y = −4
17x + 2y = −28
b)12x + 4y = 12
21x + 2y = −36
c) 6x + 8y = −36
15x + 6y = −60
d)6x + y = 15
15x − y = −9
Answer: A. 8x + 4y = -4
17x + 2y = -28
Step-by-step explanation:
A recent study has shown that 10% of computer science concentrators suffer from symptoms of Carpal Tunnel Syndrome. Researchers have developed a diagnostic test for this condition and in a recent trial, the test gave a positive result in 96% of the patients who were known to truly have Carpal Tunnel Syndrome.
a) For an initial version of the diagnostic test, the false positive rate (the percentage of people without Carpal Tunnel who incorrectly test positive) was 44%. If a student received a positive result from this test, what would be the posterior probability that they truly have Carpal Tunnel Syndrome?
b) The researchers believe their test will be practically useful if a positive result implies the student has Carpal Tunnel with at least 75% probability. What is the largest possible false positive rate that would achieve this accuracy target?
Answer:
1. 0.1951
2. 3.56%
Step-by-step explanation:
Probability of disease = 0.10
Probability of disease and positive = 0.96
1.
Probability of no disease and positive = 0.44
Probability of disease and positive result = 0.10x0.96/0.10x0.96+0.90x0.44
= 0.096/0.096+0.396
= 0.096/0.492
= 0.1951
2.
Probability of disease false positive result
P(disease|positive result)
= (0.10x0.96/0.10x0.96+0.90xP) >= 0.75
= 0.096/0.096+0.90p >= 0.75
We cross multiply
0.096 >= 0.75(0.096+0.90p)
0.096 >= 0.072 + 0.675p
0.096-0.072 >= 0.675p
0.024 >= 0.675p
P <= 0.03555
Therefore the largest possible false positive rate = 0.0356
= 3.56%
The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost
Any help please
Answer:
iPhone XS Max: $1,249/256GB,
$1,449/512GB
Step-by-step explanation:
Got it !!!
during a sale, an appliance that costs $275.00 is being sold at a discount for $220.00. which equation can be used to find the size of discount, d during the sale?
Answer:
20% discount
Step-by-step explanation:
275 - 220 = 55
55/275 = 0.2
The discount is 20%
Answer:
20% discount
Step-by-step explanation:
275 - 220 = 55
55/275 = 0.2
0.2(100)=20
There is a 20% discount.
Is 1 and 2/3 equal to 3divided by5
Answer:
sdfdfds
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
3 divided by 5 is the same as 0.6
15+9/2 leave your answer in fraction
are the triangles congruent if so state how they are congruent.
Answer:
Step-by-step explanation:
They are congruent.
SSS
Find the slope using the formula.
(-2, -9) and (-6, -6)
Point A is at (3, - 8) and point B is at (7, 3)
What is the midpoint of line segment overline AB ?
Please help
3/8 of the homes have a red door how many homes have a red door
Answer:
three out of the eight homes have red doors. so 3 homes have red doors
Step-by-step explanation:
Sasha spent $7.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Sasha spent?
Answer:
0.7
Step-by-step explanation:
Answer:
0.35
Step-by-step explanation: