A can is 7 inches high and has a radius of 2 inches.
P2 in
7 in
Enter the volume, in cubic inches, of the can. Round your answer to the nearest hundredth.
9514 1404 393
Answer:
87.96 in³
Step-by-step explanation:
The volume is given by the formula ...
V = πr²h
Using the given numbers, we find the volume to be ...
V = π(2 in)²(7 in) = 28π in³ ≈ 87.96 in³
9
Reduce to its lowest term.
36/100
Answer:
9/25
Step-by-step explanation:
Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $4 of the population mean, and the population standard deviation is known to be $25.
Answer:
151 students must be selected.
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 population standard deviation is known to be $25.
This means that [tex]\sigma = 25[/tex]
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean
This is n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 1.96*25[/tex]
[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]
[tex]n = 150.1[/tex]
Rounding up:
151 students must be selected.
The school canteen charges Rs 42 for lunch and Rs 8 for milk for
each day. How much money do you spend in 5 days on these things? Write proper steps. State the property used.
Answer:
After 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
Step-by-step explanation:
Given that the school canteen charges Rs 42 for lunch and Rs 8 for milk for each day, to determine how much money do you spend in 5 days on these things, the following calculation must be performed, using the distributive property:
(42 + 8) x 5 = X
50 x 5 = X
250 = X
Therefore, after 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
6. Side AC = 10 in; Side BC = 8 in What is the length of Side AB?
Answer:
is it a right angle?
if yes then do u gotta find the hypotenuse or the leg?
Find the distance from A to C across the gorge illustrated in the figure.
The distance from A to C is ___ feet.
Step-by-step explanation:
tan B = AC/BC
tan 35°= AC / 160
0.700 = AC /160
=> AC = 160 × 0.700
AC = 112.00
so, the distance from A to C is 112.00 feet
From the triangle given in the figure,
ΔACB is a right triangle.Measure of angle ABC = 35°Measure of adjacent side BC = 160 ftSince, adjacent side BC of the right triangle ACB is given and we have to find the opposite side AC of angle ABC,
Trigonometric ratio to be used → [tex]\text{tan}\theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
By substituting these values in the expression,
[tex]\text{tan}(35^{\circ}) = \frac{AC}{160}[/tex]
AC = 160[tan(35)°]
AC = 112.03 feet
Therefore, distance between A and C is 112.03 feet.
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could someone help please ??
Answer:
i think it's 0.66666666666 or 1.5
Answer:
The quotient is 1.5.
Step-by-step explanation:
3x^2y^5/15xy simply using the laws of exponents
Answer: Use tiger alegbra, or math-way
Please help me with this, its due today
Answer:
43 is answer
Step-by-step explanation:
65+x+2+70=180
137+x=180
x=43
PLEASE HELP TIMED---
A basket of sports equipment has 10 baseballs, 2 footballs, and 4 basketballs. A ball is randomly drawn from the basket before another ball is drawn, with no replacement.
What is the probability that a baseball and then a football are selected?
Enter your answer as a fraction in simplest form in the box.
Answer:
6/10
Step-by-step explanation:
i think sorry if incorrect
Answer:
The correct answer is [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
I know everyone says this but I just took the test and I got it right :)
How many solutions are in 5x^2+3x+2=0
1.
Can the three side lengths make a triangle? 14, 7, 8
O a) Yes
Ob) No
PLEASE HELPPPP
Answer:
Yes
Step-by-step explanation:
For three side lengths to make a triangle, the two smaller lengths have to add up to be greater or equal to the largest side length.
since 7+8=15, and 15>14, the answer is yes.
I need help with this math problem!
Answer:
C and E
Step-by-step explanation:
Answer:
I believe that the answer is
C and E
1/6 divided by 1/2 as a reduced fraction
Answer:
1/3
Step-by-step explanation:
1/3
Step-by-step explanation:
1/6 ÷ 1/2
Copy dot flip
1/6 * 2/1
Multiply
2/6
Reduce
1/3
Pinto
Ans: 405 cm
(c) यदि एउटा गोलाको आयतन 4851 घन से.मि. छ भने
यसको व्यास निकाल्नुहोस् । (If the volume of a sphere is
4851 cubic cm find its diameter.)
Ans: 21 cm
Answer:
उत्तर:
गोलाको आयतन :4851 cm³
⁴/3 πr³=4851
r³=4851×3×7/(22*4)
r³=1157.625
r=[tex] \sqrt[3]{1157.625} [/tex]
r=10.5
अब
गोलाको व्यास=2×r=10.5*2=21cm.
What is the correct ratio?
math 20
Answer:
7/24
Step-by-step explanation:
tan = opp/adj
opp = 7
adj = 24
hyp =25
y = 3/5x + 5
y = -3/5x + 5
y = 3/5x - 5
y = -3/5x - 5
Answer:
y= 3/5x+5
Step-by-step explanation:
The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5
The total length of a beach is 14.4 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
Answer:
240
Step-by-step explanation:
Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.
What is 10° equivalent to?
Answer: [tex]\frac{\pi}{18}[/tex]
Step-by-step explanation:
To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.
Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]
The apartments in Greg's building are named using the letters A,B,C, and D and the digits 1 through 9. How many apartments are there in Greg's building if each apartment is named by a single letter followed by a single digits
Answer:
36
Step-by-step explanation:
If there are 9 apartnments for everyletter 9 times the four letters is 36
9 * 4 = 36
The total number of apartments if The apartments in Greg's building are named using the letters A, B, C, and D, and the digits 1 through 9, are 36.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
The apartments in Greg's building are named using the letters A, B, C, and D and the digits 1 through 9,
Calculate the total number of apartments as shown below,
The number of apartments = total number of digits × total number of letters,
The number of apartments = (1, 2, 3, 4, 5, 6, 7, 8, 9) × (A, B, C, D)
The number of apartments = 9 × 4
The number of apartments = 36
Thus, The total number of apartments is 36.
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#SPJ2
A local dog shelter has 12 dogs and 8 cats up for adoption. What fraction of the pets are dogs, what percent are cats?
If anyone can figure this out tysm
Which description best compares the graphs of these two functions?
Function A
y = -33 +2
2
Function B
0 2 4
2 1 0
6
-1
y
Functions A and B have the same y-intercept.
Functions A and B have the same x-intercept.
Function A is not a linear function.
Function B has a steeper slope.
Answer:
1st option, they have the same y-intercept
Step-by-step explanation:
they do not have the same x-intercept
'A' is linear
'B' has a less steep slope
Help me out please???
Answer:
62°
Step-by-step explanation:
solve these equations, show all your work x-2=10 and x+6=13
Answer:
x = 12 , x = 7
Step-by-step explanation:
x-2 = 10
x= 10+2 = 12
x+6 = 13
x=13-6
x=7
Answer:
x = 9.5
If they were separate equations,
x - 2 = 10 ⇒ x = 12
x + 6 = 13 ⇒ x = 7
Step-by-step explanation:
x - 2 + x + 6= 10 + 13
2x + 4 = 23
2x + 4 - 4 = 23 - 4
2x = 19
2x ÷ 2 = 19 ÷ 2
x = 9.5
If they were separate,
x - 2 = 10
x - 2 + 2 = 10 + 2
x = 12
x + 6 = 13
x + 6 - 6 = 13 - 6
x = 7
According to a June 12 invoice, George's Grocery Store owes $11,250 to Crane Food Services. The sales terms are 5/10, 3/15, n/30. Find the cash discount if the invoice is
paid on June 26.
$328.75
$337.50
$445.80
$562.50
None of these choices are correct.
Answer:
$337.50
Step-by-step explanation:
Given that
The amount is $11,250
And, the sales terms are 5/10, 3/15, n/30
5/10 means if the payment is done within 10 days so 5% discount is given
3/15 means if the payment is done within 15 days so 3% discount is given
And, n/30 means the credit days for payment allowed is 30
Now the cash discount if the invoice is paid on June 20 is
= $11,250 × 3%
= $337.50
Describe how to use a conversion factor to convert units. PLEASE HELP DUE TONIGHT
Answer:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Step-by-step explanation:
Please help!!!!!!!!!!!
Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4
Step-by-step explanation:
The integral that represent the area enclosed by y = x +1, y = 4-X
y = 0,X = 0 is:
Answer:
[tex]\displaystyle A = \int\limits^{1.5}_0 {(x + 1)} \, dx + \int\limits^4_{1.5} {(4 - x)} \, dx[/tex]
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationPoints of IntersectionCalculus
Integrals - Area under the curve
Bounds of IntegrationStep-by-step explanation:
Step 1: Define
Identify
y = x + 1
y = 4 - x
y = 0
x = 0
Step 2: Identify Info
Graph the functions - See Attachment
Bounds of Integration: [0, 4]
Point of Intersection: x = 1.5
Step 3: Find Area
Set up [Integral - Area]: [tex]\displaystyle A = \int\limits^{1.5}_0 {(x + 1)} \, dx + \int\limits^4_{1.5} {(4 - x)} \, dx[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration - Area under the curve
Book: College Calculus 10e
Answer it plssss........
Answer:
A
Step-by-step explanation:
Because x has the degree one and it’s figure at the numerator
Can someone please help?