what's your question question question
Find the mean of the data: 125, 15, 30, 110, 70
Answer:
The mean of the data is 70
Step-by-step explanation:
Hope this helps you! :D
Answer:
70
Step-by-step explanation:
Mean-
Add all the numbers to the total = 350
Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)
350/5 = 70
Belinda is putting 496 fish into 8 different aquariums. The same number of fish will be put into each one. How many fish will be in each aquarium?
Answer:
62
Step-by-step explanation:
all you do for this is take 496 and divide it by 8, which gives you 62, if you still need help explain I can reply with a step by step of showing how to divide
e Structure What is the length of a pool with a perimeter
6 feet? Explain how you found the answer. Then describe
You can use a feature of the pattern to find the length.
Answer:
To begin to answer this question, you will want to determine the equation for the volume of a rectangular prism. In this case, the equation is length times width times height or:
V = l * w * h
In the question, you are given several pieces of information that you can then plug into the equation. For example, you know the volume is 21,904 ft3 because they tell you that directly. You also know that the pool is 8 feet deep. I consider the depth to be the same as the height. With that information, you now have the equation:
21,904 ft3 = l * w * (8ft)
You are also told that the length is 2 times the width. Written as an equation, you would say that
l = 2w
Now, you can substitute that 2w for l to get the equation:
21,904 ft3 = (2w) * w * 8ft
We know that when you multiply a variable times itself, you get a squared variable, so 2w * w = 2w2 and that
21,904 ft3 = 2w2 * 8ft
Now, you can solve the equation to find w. At this point, it is easiest to drop the units of feet on the numbers to do the math. As long as all your numbers are in the same units (i.e. feet), you are good to go. Start by dividing each side by 8 to get
2738 = 2w2
Then divide both sides by 2 to get
1369 = w2
Finally, for this portion, take the square root of 1369 to get
w = 37 feet.
But you're not done yet. You know the width, and you know that l = 2w. Plug the value for w (37) into this equation to get the length, which is 74 feet.
The final answer is that the width of the pool is 37 feet and the length is 74 feet.
You can check your answer by plugging the length, width, and height (depth) into the equation for volume to see if you get 21,904ft3.
If you take 8 ft x 37 ft x 74 ft, you get 21,904 ft3 and you know that you answer is correct.
Step-by-step explanation:
A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg
We will see that there are 284.2 kilograms of helium inside the ballon.
How to find the mass of helium in the ballon?
In this problem, we know the volume of helium and the density of helium.
Remember that:
density = mass/volume.
Then we can write:
mass = density*volume.
Replacing the two in the right, we get:
mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg
Then we can conclude that there are 284.2 kilograms of helium in the ballon.
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Simplify this expression
(15+8d)(-5)-24d+d
Solve step by step
it takes 3 painters 6 days to complete a job work out how many days would it take 2 painters to complete the same job (2 marks)
Answer:
t = 8 days i saw it on a website if i recall its the answer
Step-by-step explanation:
speed = distance/time
4 P = 1 House / 10 Days
P = 1 House / 40 Days
Let T = Time it takes for five painters.
5 P = 1 House / T
5(1/40) = 1 /T
1/8 = 1 /T
T = 8 Days
Work out the area of the semi circle pi = 3.142 and radius 5
Answer:
39.25
Step-by-step explanation:
Area of circle is pi(3.14) times r^2.
Semi means half
So 3.14 times 5^2 = 78.5
Its a semi ciricle so its 78.5/2 which is 39.25
Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 10,000 shares at $5.50 per share. Stock B opens on Monday with 8000 shares at $6.25 per share. Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
A. 5.6%
B. 5.9%
C. -5.6%
D. -5.9%
Answer:
sorry but I do know that it is A or B hope this helps.
The rate of change of the given simple index over 1 day is -0.9%.
What is rate of change?When something has a constant rate of change, one quantity changes in relation to the other.
Given that;
Stock A opens on Monday with 10000 shares at $5.50 per share.
Stock B opens on Monday with 8000 shares at $6.25 per share.
Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share.
Total value of the simple index at Monday is;
= (10000×5.50) + (8000×6.25)
= 55,000 + 50,000
= 105,000
The total value of the simple index at Tuesday is;
= (10000×5.80) + (8000×6.65)
= 58,000 + 53,200
= 111,200
The rate of change of this simple index over 1 day is;
= (111,200-105,000)/(10000-8000) -1
= 6,200/2000 - 1
= 3.1 - 1
= 2.1
Hence, the rate of change of the given simple index over 1 day is -0.9%.
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Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649
Step-by-step explanation:
it seams like this question is wrong
Please answer this question immediatly
Apple be A and blueberries be B
So
As per Venn diagram
n(A)=12n(B)=7n(A$\cap$B)=3#1
n(A)+n(B)12+719P(A)=12/24
P(B)=7/24
Add
12+7/2419/24#2.
n(AUB)
n(A)+n(B)-n(An B).19-316E=8+16=24
P(AUB)=16/24=2/3
Answer:
[tex]\sf a) \quad P(contains\:apple)+P(contains\:blueberry)=\dfrac{5}{6}[/tex]
[tex]\sf b) \quad P(contains\:apple\:or\:blueberry)=\dfrac{11}{15}[/tex]
c) Not mutually exclusive events
Step-by-step explanation:
From inspection of the Venn diagram:
Total number of smoothies = 12 + 3 + 7 + 8 = 30Number of smoothies containing Apple = 12 + 3 = 15Number of smoothies containing Blueberry = 3 + 7 = 10Number of smoothies containing both Apple and Blueberry = 3Number of smoothies not containing Apple or Blueberry = 8[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let A = contains apple
Let B = contains blueberry
[tex]\implies\sf P(A)=\dfrac{15}{30}=\dfrac{1}{2}[/tex]
[tex]\implies\sf P(B)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]
Part (a)
[tex]\begin{aligned} \implies \sf P(A)+P(B) & =\sf \dfrac{1}{2}+\dfrac{1}{3}\\\\ & = \sf \dfrac{3}{6}+\dfrac{2}{6}\\\\ & = \sf \dfrac{5}{6}\end{aligned}[/tex]
Part (b)
[tex]\textsf{Addition Law}: \quad\sf P(A\:or\: B) = P(A)+P(B)-P(A\:and\:B)[/tex]
Given:
[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]
[tex]\sf P(A\:and\:B)=\dfrac{3}{30}\quad \textsf{(where the circles overlap)}[/tex]
[tex]\begin{aligned}\implies \sf \sf P(A\:or\: B) &= \sf P(A)+P(B)-P(A\:and\:B)\\\\& =\sf \dfrac{5}{6}-\dfrac{3}{30}\\\\ & =\sf \dfrac{25}{30}-\dfrac{3}{30}\\\\ & =\sf \dfrac{22}{30}\\\\ & = \sf \dfrac{11}{15}\end{aligned}[/tex]
Or, we can simply read P(contains apple or blueberry) from the Venn diagram.
P(A or B) is the total of the numbers inside the circles divided by the total number of smoothies:
[tex]\sf P(A\:or\:B) = \dfrac{12+3+7}{30}=\dfrac{22}{30}=\dfrac{11}{15}[/tex]
Part (c)
For two events, A and B, where A and B are mutually exclusive:
[tex]\sf P(A \: or \: B)=P(A)+P(B)[/tex]
Given:
[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]
[tex]\sf P(A\:or\:B)=\dfrac{11}{15} \quad \textsf{(from part b)}[/tex]
[tex]\sf As\:\dfrac{11}{15}\neq \dfrac{5}{6} \implies P(A \: or \: B)\neq P(A)+P(B)[/tex]
Therefore, choosing a smoothie containing apple and choosing a smoothie containing blueberry are NOT mutually exclusive events.
How do you convert fractions into decimals?
And the other way around?
→ The formula to convert a fraction to a decimal is ( "a ÷ b" ) .
→ where ( a ) is the NUMERATOR and ( b ) is the DENOMINATOR of the fraction .
The fraction to decimal formula states that:
• you just need to divide the numerator by denominator to get the decimal equivalent of the fraction ..
For example:• convert 25/100 to decimal ?
→ Just divide 25 by 100 = 0.25
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Step-by-step explanation:
to convert a fraction to decimal ,well just divide numerator ....by the denominator
we 'll divide 1 by 4.1 divided by 4 equal to zero to keep dividing we ' ll add a decimal point and a zero after 1.
Can anyone help me with this quick question please, ASAP, Thank You!
Answer:
15.7 lbs (please mark brainliest)
Step-by-step explanation:
2.6+x+x=34
2x=31.4
x=15.7
Answer: 14.4
Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.
Simplify the fraction
Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse. Give an exact answer and a two-decimal place
approximation
a=6, C =18
The exact apswer is:
The two decimal place approximation is (Round two decimal places if needed):
Answer:
16.97
Step-by-step explanation:
Therefore b= 16.97
Using the slope formula, find the slope of the line through the given points.
(6,9) and (4,3)
Answer:
Slope is 3.
Step-by-step explanation:
Slope formula
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
m ... slope
Two points on the line are (x1, y1) and (x2, y2).
Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3[/tex]
You could also do [tex]m = \frac{3-9}{4-6}[/tex] and would get the same result.
Does anybody know this? I know what the radius is but when I calculated my answer doesn't match the options. Find the surface area of a sphere is the area of the great circle is 81pi in^2
[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]
Which function does this graph represent?!? I’ll mark yours expert verified whoever helps plss 60 points
Answer:
B) [tex]f(x)=-3(x+1)^2+2[/tex]
Step-by-step explanation:
Notice that the graph of the parabola opens downward. This tells us that the leading coefficient of the function must be negative. Hence, we can rule out answers A and D.
Also, notice that our vertex is [tex](h,k)\rightarrow(-1,2)[/tex], which when we plug into vertex form, we get [tex]y=a(x-h)^2+k\rightarrow y=a(x-(-1))^2+2\rightarrow y=a(x+1)^2+2[/tex].
This means that B is the correct function that represents the graph.
Find the height of the cylinder if the radius is 3 and the volume is 340
Answer:
12.025
Step-by-step explanation:
h=v/(π*r square)
divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)
340÷(π×3square)
giving you 12.025
(original in calculator=12.02504014)
but it is 12.025
pls pls help me Calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm
Answer:
307.916cm^3
Step-by-step explanation:
[tex]volume \: of \: a \: cone \: = \frac{1}{3}\pi \: r {}^{2} h \\ v = \frac{1}{3} \times 3.142 \times 3.5 {}^{2} \times 24 = 307.916cm {}^{3} [/tex]
What is the median of this data set?
{12, 8, 9, 12, 10, 13,8}
Enter your answer in the box.
Answer:
10
Step-by-step explanation:
Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Find the missing number in the ratio table below.
11 22 33 44
9 18 27 ?
A: 38
B: 36
C: 35
D: 37
Answer:
B
Step-by-step explanation:
You are going to add 9 to 27 because you are counting by nines on the bottom.
Find the volume of the pyramid to the nearest cubic unit. Use a calculator.
64 m^3
96 m^3
192 m^3
256 m^3
Answer: 64 m^3
Step-by-step explanation:
V=1/3*a^2*h
V = 1/3*64*3
V=64 m^3
Answer:
64 m³
Step-by-step explanation:
Formula
[tex]\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h[/tex]
where:
a = side lengthh = perpendicular heightGiven:
a = 8 mh = 3 mSubstituting the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}[/tex]
I need help asap please
When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.
How to illustrate the probability?Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:
= $3300 - $429
= $2871
In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.
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What is the answer??
Answer:
5 given as -1 and 8 positive 8 cross by axis
exponential function question
Answer: [tex]y = 850(0.943)^t[/tex]
Reason:
The exponential of the form [tex]y = a*b^x[/tex] has 'a' as the initial term and b as the growth or decay factor.
a = 850 is the starting amount
b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor
If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.
The set of ordered pairs shown below defines a relation.
{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}
Which of the following represents the domain of this relation?
A { - 1,2,3,4}
-
-
® { - 6,0,5,7}
©{-1,4}
O {-6,7}
-
The domain of the given relation will be { - 1,2,3,4}.
What is a domain?The domain of the function is defined as the set of all the possible values of the function.
So here we have the ordered pairs given as:-
{ (-1,- 6), (2, - 6), (3,5), (4,0), (4,7)}
Here the possible values for the input of the functions are { - 1,2,3,4}.
Therefore the domain of the given relation will be { - 1,2,3,4}.
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Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.
What is the surface area of the triangular prism shown?
Answer:
The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 15\ cm[/tex]
[tex]Area = 375\ cm^2[/tex]
The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 12\ cm[/tex]
[tex]Area = 300\ cm^2[/tex]
The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 9\ cm[/tex]
[tex]Area = 225\ cm^2[/tex]
The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.
[tex]Area = \frac{1}{2}* b*h[/tex]
[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]
[tex]Area = 54\ cm^2[/tex]
Multiply it by two to get the area for both of the triangles.
[tex]Area = 54\ cm^2 * 2[/tex]
[tex]Area = 108\ cm^2[/tex]
Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.
[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]
[tex]Area_{total}=1008\ cm^2[/tex]
Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]
Hope this helps!
A tangent PQ at a point P of a circle of radius. 5cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :
A)12 cm
B) 13 cm
C) 8.5 cm
D) √119 cm
Answer :
[tex]\boxed{D) \sqrt{119} \: cm}[/tex]
Solution :
In the above figure, the line that is drawn from the centre of the given circle to the targent PQ is perpendicular to PQ.
And So, OP ⊥ PQ
Using Pythagoras theorem in triangle ΔOPQ we get ,
[tex]\Longrightarrow\: OQ^2 = OP^2 + PQ^2[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: (12)^2 = 5^2+PQ^2[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ^2 = 144-25[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ^2 = 119[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ = \sqrt{119} [/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
So, option D) √119 cm is the length of PQ.
If h = 3.5u, what is the value of h when u = 17?
Give any decimal answers to 1 d.p.
Put u=17
h=3.5(17)h=51+8.5h=59.5Answer:
59.5.
Step-by-step explanation:
h = 3.5u
When u = 17,
h = 3.5*17
= 59.5