Answer:
The total number of voters was 7488
Step-by-step explanation:
Let us solve this question using the ratio method
∵ The ratio of yes votes to no votes was 4 to 5
∵ There were 4160 no votes
∵ We need to find the total number of votes
∵ The total of the ratio = 4 + 5 = 9
→ By using the ratio method
→ YES : NO : Total
→ 4 : 5 : 9
→ x : 4160 : y
→ By using the cross multiplication
∵ 5 × y = 4160 × 9
∴ 5y = 37440
→ Divide both sides by 5 to find y
∵ [tex]\frac{5y}{5}[/tex] = [tex]\frac{37440}{5}[/tex]
∴ y = 7488
∵ y represents the total number of voters
∴ The total number of voters was 7488
Suppose the income tax rate is 5%. Determine the amount of money
remaining after paying income tax on $85,000?
Answer:
$80750
Step-by-step explanation:
85k is what you have. Tax rate is 5%
85000*5/100=tax income
which equals to 4250
the remaining money is only 85000-4250=80750
In a recent year, the mean number of strokes per hole for a famous golfer was approximately 3.9.(a) Find the variance and standard deviation using the fact that the variance of a Poisson distribution is σ2=μ.(b) How likely is this golfer to play an 18-hole round and have more than 72 strokes?
Answer:
Variance = 3.9
Standard deviation = 1.975
p(x > 72) = 0.38482
Step-by-step explanation:
Given that :
Mean number (μ) of strokes per hole is approximately 3.9
For a poisson distribution :
σ² = μ
Hence,
Variance (σ²) = μ = 3.9
The standard deviation σ = √(σ²)
σ = √3.9 = 1.9748417
Poisson distribution relation :
p( x = x) = (λ^x * e^-λ) / x!
For an 18-hole round :
λ = 18 * 3.9 = 70.2
Using the poisson distribution calculator ; where λ = 70.2 ; x = 72
p(x > 72) = 0.38482
What's e=mc²? I need it for my math class
Answer:
E = mc^2. It's the world's most famous equation, but what does it really mean? "Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
Step-by-step explanation:
E = energy
m = mass
c = the speed of light
Answer:
E represents units of energy, m represents units of mass, and c2 is the speed of light squared,
Step-by-step explanation:
So energy = mass times speed squared
PLEASE HELP Brenda and darry each improved their yards by planting rosebushes and geraniums they bought their supplies from the same store Brenda spend $92 on 6 rose bushes and 4 geraniums darry spent $82 on 5 rose bushes and 4 geraniums what is the cost of one rose brush and the cost of the geraniums?
How many significant digits are there in the measurement 84,000 kg
Answer:
[tex]\boxed {\boxed {\sf 2 \ significant \ figures}}[/tex]
Step-by-step explanation:
According to the "rules" of significant figures, all the zeroes to the right of the final non-zero number are not significant, unless there is a decimal point.
We are given the measurement:
84,000 kg
If there was a decimal point (84,000.0 kg), then there would be 5 significant figures.
Since there isn't a decimal point, all 3 zeroes to the right of the number 4 aren't significant. The 8 and 4 are significant, so there are 2 significant figures.
There are 35 beverages on the table if the ratio of beverages is 3:2 coffee to tea how many cups of coffee are there in total
Answer:
21 cups of coffee
Step-by-step explanation:
So the coffee:tea is 3:2. We can put it as 3x+2x=35 as we know there are 35 drinks, do not know the exact number of coffee and tea, but know the ratio.
3x+2x=353x+2x=35 Combine like terms, 5x=35Divide by 5 to isolate variable, x=7Now, x=7. So coffee is 3(7)=21 and tea is 2(7)=14.
A baseball is thrown in a parabolic arc. It's position above the ground at a given
point in time can be represented by the quadratic function
p(t) = {gt2 + vot + Po, where t > 0. g is -32 ft/sec/sec, vo is initial
velocity, and Po is its initial position above the ground. If the ball was thrown
straight up at 40 ft/sec when it was 5 ft above the ground, how high did it go?
(Type the number, do not include units in your answer)
Answer:
P(t) = 17.5 feet
Step-by-step explanation:
The position above the ground at a given point in time can be represented by the quadratic function as follows:
[tex]P(t)=gt^2 + vot + Po[/tex]
Where,
Po is the initial position above the ground
If the ball was thrown straight up at 40 ft/sec when it was 5 ft above the ground.
We need to find the height reached by the ball.
The equation will become :
[tex]P(t)=-32t^2 + 40t+ 5[/tex]
Firstly we find the time taken to reach its maximum height
Put, dP(t)/dt = 0
[tex]\dfrac{d(-32t^2+40t+5)}{dt}=0\\\\-64t+40=0\\\\t=0.625\ s[/tex]
Now put t = 0.625 in equation (1) as follows :
[tex]P(0.625)=-32(0.625)^2 + 40(0.625)+ 5\\\\=17.5\ \text{feet}[/tex]
So, it will go at a height of 17.5 feet.
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answer:
you can eat candy for 25 days
Step-by-step explanation:
Does △ABC appear to be the same size and shape as △XYZ? Explain.
Right triangles A B C and X Y Z. A B C has shorter leg equal to 5 and hypotenuse equal to 13. Longer leg B C is horizontal. X Y Z has shorter leg equal to 5 and hypotenuse equal to 13. Hypotenuse X Y is horizontal.
A. Yes; △ABC maps onto △XYZ with a translation and a rotation.
B. Yes; △ABC maps onto △XYZ with a translation and a reflection.
C. Yes; △ABC maps onto △XYZ with a rotation and a reflection.
D. No; the triangles are different sizes.
Answer:
yes
Step-by-step explanation:
Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.
Given:
Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,
The triangles ABC and XYZ are similar by SAS similarity, as,
AC = XZ = 5,
AB = YZ = 13
∠ ACB = ∠ XZY
When you translate and then rotate triangle ABC, you will get triangle XYZ.
To know more about Triangles:
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PLS HELP NOW !!!!!!!!!!!!!!!!!!!!!!!!! sorry please help asap
Answer:
B
Step-by-step explanation:
A and C would not be it, since it is taking away.
and by this it leave us with B and D. Since D does not look so great , it B
(Who ever helps me gets brainliest!! :) )
What is 4 x 3/8 ?
write at least two sentences to support your answer :)
Answer: 1.5
Explanation: I'm sorry, I can't rlly get into to much details bc i have an assignment thats do in a couple of minutes but hopefully this helps!
Answer:
4/3, or 1 1/3
Step-by-step explanation:
For a whole number, 1 is always the denominator. It would look like 4/1 x 3/8. Then you would multiply both the numerators and denominators. That would get you 12/8. Simplify it, to get 4/3. If you want to simplify it even more, you would get 1 1/3.
Whats the anser to this please help out
Answer:
The answer is B
Step-by-step explanation:
At the MOA, 2 shakes and 3 hamburgers cost $17.00. If you order 3 shakes and 4 hamburgers the cost will be $24.00. What is the cost of each item? Answer quick plz
Answer:
Step-by-step explanation:
Let shakes be s and hamburgers be h. Then the total cost equation would be
2s + 3h = 17
The next equation in our system will be
3s + 4h = 24
You can solve this by either substitution or elimination. I'm going with substitution because it's easier in this platform to do so. I'm going to solve the second equation for h.
4h = 24 - 3s and
h = 6 - .75s
Now we will sub that into the first equation to get
2s + 3(6 - .75s) = 17 and
2s + 18 - 2.25s = 17 and
-.25s = -1 and
s = 4
That means that shakes cost $4 each. Now plug in 4 for s and solve for h:
h = 6 - .75(4) and
h = 6 - 3 so
h = 3 so hamburgers cost $3 each.
what is the value of x in x/2 =10
Answer:
x=20
Step-by-step explanation:
multiply both sides of the equation by 2
x=20
Answer:
20
Step-by-step explanation:
20 divided by 2 is equal to 10
Just multiply 2 by 10 to get the answer
5/12 divided by 2 pls help asap
Answer:
I am pretty sure it's 0.2
Answer:
5/24
Step-by-step explanation:
To find 5/12 divided by 2, we do keep change and flip
Therefore we keep 5/12 change the division sign and flip the 2
We will get
5/12 * 1/2, this would give us 5/24
An archaeologist descends 20 feet into a canyon, then climbs up 12 feet. which value represents her final position? -32 feet, -12 feet, -8 feet or 8 feet
Answer:
-8 feet
Step-by-step explanation:
They descended 20 feet so it is -20 and then goes back up 12 feet to make it -8 feet
Answer:
-8 feet
Step-by-step explanation:
She descends 20 feet, meaning -20 feet.
She climbs up 12 feet, meaning -20 + 12 = -8
I hope this helped, please mark Brainliest, thank you !!
I really need help with this math problems
Answer:
what do you help with???
graphing it or....
Step-by-step explanation:
help and get brainiest
C
the coins worth should be times the number of coins (dimes/quarters)
I NEED HELP ASAP!!!!!! 50 points if you actually answer it
The following diagram models a ratio relationship.
A. Write a part-to-part ratio to represent this ratio relationship.
B. Use ratio language to describe this ratio relationship.
The part-to-part ratio to represent this ratio relationship is 1:0.75.
The ratio language to describe this ratio relationship shows that for every four squares, there are three triangles.
How to illustrate the information?Based on the information given, it should be noted that the part-to-part ratio to represent this ratio relationship is 1:0.75.
This illustrates that for every one square, there is 0.75 triangle.
This was based on the fact that there are 3 triangles and 4 squares. This will be:
= 3/4 = 0.75
Therefore, the ratio language to describe this ratio relationship shows that for every four squares, there are three triangles.
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Jse the zero product property to find the solutions to the equation x2 - X-6 = 0.
O x=-3 or x=-2
O x= -3 or x= 2
O x=-2 or x= 3
O x=2 or x= 3
What would be the coordinates for y= 3 - 1/2 x
Answer:
2,-4
Step-by-step explanation:
Aaron mowed 7 lawns in 4 hours. At that rate, how long will it take him to mow 21 lawns?
Answer:
12 hours
Step-by-step explanation:
So, 7 times 3 is 21. This means he have to multiply 4 by 3 to get 12.
Work out the area of a rectangle with base, b = 5.5mm and
height, h = 2mm.
Answer:
area is 11 mm squared
Step-by-step explanation:
A=bh
A=5.5*2
A=11 mm squared
more help pls im so dumb
Consider the following IP problem:
Maximum Z= 5x1+x2
subject to
-x1+2x2 <=4
x1-x2 <=4
4x1+ x2 <=12
and
x1 >=0, x2>=0
x1, x2 are integers
a. Solve this problem graphically.
b. Solve the LP relaxation graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding the solution for the LP relaxation in all possible ways (i.e., by rounding each noninteger value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate Z. Are any of these feasible rounded solutions optimal for the IP problem?
Answer:
[tex](3,0)[/tex]
Step-by-step explanation:
The integer points which fall in the common region bounded by the lines are
[tex](0,2),(2,3),(3,0)[/tex]
Since, one of the points is [tex](2.22...,3.11....)[/tex] we round it to [tex](2,3)[/tex]
If we round up then the point will be [tex](3,4)[/tex] which does not fall in the bounded region.
Also [tex]x_1\geq 0[/tex] and [tex]x_2\geq 0[/tex] no negative values are considered.
Applying in the values in the LP problem [tex]Z=5x_1+x_2[/tex]
[tex]Z=5\times 0+2\\\Rightarrow Z=2[/tex]
[tex]Z=5\times 2+3\\\Rightarrow Z=13[/tex]
[tex]Z=5\times 3+0\\\Rightarrow Z=15[/tex]
So, the LP problem is maximum at point [tex](3,0)[/tex].
Which of the following is the slope of the line passing through the points A(-6, 10) and B(-2, 7)
Answer:
[tex]m=\frac{-3}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define Points
A (-6, 10)
B (-2, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-10}{-2+6}[/tex]Subtract/Add: [tex]m=\frac{-3}{4}[/tex]And we have our final answer!
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
To find the slope of the line, we use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when we are given the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
When we plug the points A(-6,10) and B(-2,7) into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], we get the equation [tex]\frac{7-10}{-2-(-6)}[/tex].
[tex]\frac{7-10}{-2-(-6)}\\= \frac{-3}{4}[/tex]
Therefore, the slope of the line is [tex]-\frac{3}{4}[/tex].
I hope this helps!
Of a box of paper clips, 2/3 are red and the rest are green. If there are 120 red paper clips, how many green paper clips are there.
Answer:
There are 60 green paper clips.
Step-by-step explanation:
if 2/3 of the box = 120 clips, then you can determine that 1/3 is 60, since 1/3 is half of 2/3. If 1/3 is 60, Since you already know that 2/3 is 120 clips, you add 60 to get 180 total clips, and 60 of them are green.
Answer:
60 Green Paper Clips
Step-by-step explanation:
120/2 = 60 (which would be 1/3)
There are 3 1/2 pounds of bricks in a bag. Each brick weighs 1/2 of a pound. How many bricks are in the bag?
Answer:
i dont think i have the facilities to do that honestly
Step-by-step explanation:
please answer as fast as possible see the image below
Answer:
204.2 units
Step-by-step explanation:
Area of semicircle: 1/2(πr^2)
r = 5
1/2(π(5)^2)
94.2477796
Area of Rectangle: w * l
l = 11
w = 5(2)
11 * 5(2) = 11 * 10 = 110
Total:
110 + 94.2 = 204.2 units
Answer:
149.3Step-by-step explanation:
total area = rectangle + semicircle
= (11 x 10) + (1/2 x π 5²)
= 110 + 39.27
= 149.3
question is the picture
it’s triangles congruent please help me if ur a nice person
Answer: The answer is the first choice, <L = <P
Step-by-step explanation:
There are two triangles.
Triangle LMN
and
Triangle PQR
If both of these triangles are congruent then that must mean that:
<L = <P
<M = <Q
<N - <R
Hope this helps!!