Answer:
whats the question?
Write the equation of the line in slope- intercept form
Answer:
y=8x+1
Step-by-step explanation:
y=mx+b
m=rise/run=(8)/(1)=8
y=8x+b
b is the y-intercept
y=8x+1
The Probability Density Function For A Uniform Distribution Ranging Between 3 And 5 Is o 2. o Any Positive Value. o 0.5. o Undefined.
The Probability Density Function (PDF) for a uniform distribution ranging between 3 and 5 is 0.5. Answer is option C.
In a uniform distribution, the probability of a random variable taking any value between the two endpoints of the interval is constant. The probability density function (PDF) of a uniform distribution is a constant value over the range of possible values, and is 0 outside that range. In this case, the PDF for the uniform distribution ranging between 3 and 5 is 0.5, which means that the probability of the random variable taking any value between 3 and 5 is the same, and is equal to 0.5.
The PDF being a constant value of 0.5 implies that the distribution is symmetric, with equal probability of the random variable taking any value between the two endpoints. Thus, option C is answer.
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Determina la altura del papalote con respecto al piso considerando los datos presentados.
The length of the string required to fly the kite at a height of 75 meters from the ground is 86.6 meters.
The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, the opposite side is the height of the kite (75 m), and the hypotenuse is the length of the string that we need to find. We can set up an equation using the sine function:
sin(60 degrees) = opposite/hypotenuse
sin(60 degrees) = 75/hypotenuse
We can simplify the equation using the value of the sine of 60 degrees, which is √3/2.
√3/2 = 75/hypotenuse
To solve for the length of the string, we can cross-multiply and simplify:
hypotenuse = 75/(√3/2)
hypotenuse = (75*2)/√3
hypotenuse = 150/√3
hypotenuse = (150/√3) * (√3/√3) (to rationalize the denominator)
hypotenuse = (150√3)/3
hypotenuse = 50√3 meters = 86.6 meters.
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Complete Question:
A kite is flying at a height of 75 m from the level ground, attached to a string inclined at 60 ∘ to the horizontal. Find the length of the string, assuming that there is no slack in it. [Take √ 3 =1.732].
12 decreased by some number h
Answer:
12 - h
Step-by-step explanation:
jack can read 45 pages pf his book in one and a half hours. at that rate how long will it take him to read the entire 300-page book?
Answer:
10 hours
Step-by-step explanation:
We can write a ratio to solve
45 pages 300 pages
---------------- = -------------------
1.5 hours x hours
Using cross products
45x = 1.5(300)
45x =450
Divide by 45
45x/45 = 450/45
x = 10
10 hours
Please help me with this quickly
Answer:
10 m
Step-by-step explanation:
Jones planted s flowers. He planted fewer flowers than Kerry. Kerry
planted 50 flowers. Write the expression that shows how many flowers Jones
planted.
Answer:
s < 50
Step-by-step explanation:
This is an inequality that can be used to express the amount of flowers planted. If Jones planted s flowers, Kerry planted 50, and Jones planted less flowers than Kerry, s must be less than 50.
A fun park charges $10 for admission and then two dollars for every ride. Write a function that determines the amount of money spent, Y, based on the number of rides ridden, X.!! please help ahhh reposting D:
Answer:
f(x) = 2x + 10
Step-by-step explanation:
Or y = 2x + 10 considering the question requests it...
2x = $2 per each ride
+10 = $10 premium
Someone help!!!!!! Look at the picture below
Answer:
9
Step-by-step explanation:
i can not really tell what letters are on the picture but i think it is 9
Convert 3.9m^2 into cm^2
I will leave good review!
Answer:
Step-by-step explanation:
To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.
So,
3.9 m² = 3.9 × (100 cm / 1 m)²
3.9 m² = 3.9 × 10,000 cm²
3.9 m² = 39,000 cm²
Therefore, 3.9 square meters is equal to 39,000 square centimeters.
Which expression is equivalent to 2(y + 11)
2y + 22
2y + 11
y + 22
0.761 rounded nearest hundred
Answer:
000
Step-by-step explanation:
000.761
as the ten-digit =0 < 5
so we need to round down
so the answer is just 000
Writing the equation of a sine or cosine function given its graph:
A generic graph would be
\(A\cos \mleft(\frac{2\pi x}{p}+\varphi\mright)+D\)Where:
A = amplitude
p = period
φ = phase
D = middle line
First let's evaluate the period of the function, see that x = -1/4 we have y = 5, it will have again at x = 3/4.
The period is
\(\begin{gathered} p=\frac{3}{4}+\frac{1}{4} \\ \\ p=\frac{4}{4}=1 \end{gathered}\)Let's put it in our function already
\(\begin{gathered} A\cos \mleft(\frac{2\pi x}{p}+\varphi\mright)+D \\ \\ A\cos (2\pi x+\varphi)+D \end{gathered}\)To find out the amplitude, we take the max value, the minimum value (all in modulus) and take the average, the max value here is 5 and the minimum -3 (in modulus it's 3), the average is
\(A=\frac{5+3}{2}=\frac{8}{2}=4\)Therefore
\(4\cos (2\pi x+\varphi)+D\)And the D value will be the average too, of the maximum two, but here we don't use the modulus on negative values, therefore
\(D=\frac{5-3}{2}=\frac{2}{2}=1\)Hence.
\(4\cos (2\pi x+\varphi)+1\)We know that when x = 0 we have y = 1, then
\(\begin{gathered} y=4\cos (2\pi x+\varphi)+1 \\ \\ 1=4\cos (2\pi\cdot0+\varphi)+1 \\ \\ 4\cos (\varphi)=0 \\ \\ \cos (\varphi)=0 \end{gathered}\)When cos(φ) = 0? when φ = π/2 for example. Of course, there are other solutions but we just need one. Now we have all the parameters of our cosine
\(4\cos \mleft(2\pi x+\frac{\pi}{2}\mright)+1\)The final answer is:
\(4\cos \mleft(2\pi x+\frac{\pi}{2}\mright)+1\)Factor the polynomial expression 3x2+2.
A. (3‾√x+2‾√i)(3‾√x−2‾√i)
B. (3‾√x+i)(3‾√x−i)
C. (3‾√x+2‾√)(3‾√x−2‾√)
D. (3x+2‾√i)(3x−2‾√i)
Using the Factor Theorem, the expression 3x² + 2 is factored as follows:
\(3x^2 + 2 = (\sqrt{3}x + i\sqrt{2})((\sqrt{3}x - i\sqrt{2}))\)
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:
\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)
In which a is the leading coefficient.
In this problem, the expression is:
3x² + 2.
The roots are found as follows:
\(3x^2 + 2 = 0\)
\(x^2 = -\frac{2}{3}\)
\(x = \pm \sqrt{-\frac{2}{3}}\)
\(x_1 = -i\sqrt{\frac{2}{3}}\)
\(x_2 = i\sqrt{\frac{2}{3}}\)
Hence the factored expression is:
\(3x^2 + 2 = \left(x + i\sqrt{\frac{2}{3}}\right)(x - 1\sqrt{\frac{2}{3}}\right) = (\sqrt{3}x + i\sqrt{2})((\sqrt{3}x - i\sqrt{2}))\)
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Find the value of the test statistic z using z=^p−p√pq/n.
The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n = 800 deaths of the elderly with 15% of them attributable to residential falls.
a. -4.71
b. -3.96
c. 4.71
d. 3.96
Answer:
Option C - 4.71
Step-by-step explanation:
We are given the Test statistic for proportion as;
z = (^p − p)/√pq/n
From the question;
^p = 0.15
p = 0.1
q = 1 - 0.1 = 0.9
n = 800
z = (0.15 - 0.1)/√(0.1 × 0.9/800)
z = 0.05/√(0.09/800)
z = 4.71
help me please a.) Use the table below to calculate the average percent change in population in California from 2000-2009.
b.) If California's population in 2009 was 37,000,000 and the population trend were to continue, what would the population be in the year 2015?
the solution is: population in 2015 will be 40,115,896
What is exponential?The exponential function is an illustration of a mathematical function that may be used to identify if something is increasing or decreasing exponentially. An exponential function employs exponents, as suggested by its name.
But, you should be aware that an exponential function does not have a constant base and a variable exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
the median population change in California from 2000 to 2009 in percentage terms.
Given that there are 9 years, add up all the percentages, and then divide by 9.
1.97+1.71+1.65+1.42+1.22+1.02+1.07+1.22+0.93/9 = 1.3567%
From 2009 through 2015, there were six different time periods.
In the future, 37,000,000 x (1 + 0.013567) x 6 = 40,115,896.06
Hence, the solution is: population in 2015 will be 40,115,896
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3. The carrying capacity of a drain pipe is directly proportional to the area of its cross- section. If a cylindrical drain pipe can carry 36 litres per second, determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second.
The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is 28.87%.
Given that the carrying capacity is directly proportional to the area, we can write:
C1 ∝ A1 = πr₁²
Since the carrying capacity is directly proportional to the area, we have:
C2 ∝ A2 = πr₂²
To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:
(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²
We can also express the ratio of the increased carrying capacity to the initial carrying capacity:
(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3
Since the area and the carrying capacity are directly proportional, the ratios should be equal:
(r₂² - r₁²) / r₁² = 2 / 3
Now, let's substitute r = D/2 in the equation:
((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3
(D₂² - D₁²) / D₁² = 2 / 3
Cross-multiplying:
3(D₂² - D₁²) = 2D₁²
3D₂² - 3D₁² = 2D₁²
3D₂² = 5D₁²
Dividing by D₁²:
3(D₂² / D₁²) = 5
(D₂² / D₁²) = 5 / 3
Taking the square root of both sides:
D₂ / D₁ = √(5/3)
To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:
Percentage increase = (D₂ / D₁ - 1) × 100
Percentage increase = (√(5/3) - 1) × 100
Percentage increase = 28.87%
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The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
Determine the value of each expression.
i2 =
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
A. 121
B. 7
C. 1.75
D. 30.25
Simple and easy question
please help
Answer:
A
Step-by-step explanation:
To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.
Answer:
V = \(3 \frac{3}{4}\)
Step-by-step explanation:
Hey there!
Well the volume "v" of a rectangular prism is,
V = l•w•h
Fill in
\(V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}\)
V = \(3 \frac{3}{4}\)
Hope this helps :)
If a laptop computer regularly cost $1096 and it’s on sale for $736 what percentage discount is being given round your answer to the nearest hundredth when necessary
If a laptop computer regularly cost $1096 and it’s on sale for $736 what percentage discount is being given round your answer to the nearest hundredth when necessary
step 1
Find out the difference
1096-736=$360
step 2
In this problem
$1,096 represent the 100%
so
applying proportion, find out how much percentage represent the difference
100%/1,096=x/360
solve for x
x=100*360/1,096
x=32.85%From the airline traffic-volume table, how much faster did airlines average in miles flown per hour between 1970 and 1976?
According to the airline traffic-volume table, the airlines averaged 465 miles per hour in 1970 and 476 miles per hour in 1976.
How to calculate?To calculate how much faster airlines were flying between these years, we can subtract the average speed in 1970 from the average speed in 1976.
The result is 11 miles per hour faster on average. This increase in speed could be attributed to advancements in technology, such as more fuel-efficient engines or improved navigation systems. It's important to note that this increase in speed may seem small, but it can have a significant impact on the efficiency and profitability of airlines.
Faster flights mean shorter travel times and potentially more flights per day, which can lead to increased revenue for the airline industry.
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hiiii, before you answer my question, i just wanted to remind you to drink some water and do things that make you happy. the pandemic has effected us all differently, so if you can, take a walk, stretch for a bit, and remind yourself that you belong and that you are needed! ✧・゚: *✧・゚:* ʕ·ᴥ·ʔ ʕ•ᴥ•ʔ *:・゚✧*:・゚✧ anyways, what is two plus two?
Yeah I feel like lately I've been overdoing it a bit. I've been playing video games way longer then I used too, then again I have nothing better to do, but it's time I start taking a little more care of my body. Thanks for the nice words! 2+2 = 4.
Answer:
4
Step-by-step explanation:
well if you count 1,2, then that's two. Now count 2 more after that and you get 4!!!
Hope this helped! :)
lol
On the number line, graph the solution to the inequality -5(x+1) > 7x + 31? Can you tell me how to go about doing this problem I have tried a few methods but can't figure it out.
Answer:
x < -3
Step-by-step explanation:
First we simplify:
-5x - 5 > 7x + 31
-12x > 36
x < -3.
We reverse the sign because we divided by a negative number on both sides.
That should be easy to graph.
whats the area of the rectangle?
Answer:
24x^2-13x-2Step-by-step explanation:
Area of rectangle = Length ×Breadth
\(Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2\)
Solve this equation for N. 3N + 5 = 38
ANSWER
N = 11
EXPLANATION
Given:
3N + 5 = 38
Desired Outcome:
Value of N
Solve for N
\(\begin{gathered} 3N+5=38 \\ subtract\text{ 5 from both sides} \\ 3N+5-5=38-5 \\ 3N=33 \\ divide\text{ both sides by 3} \\ \frac{3N}{3}=\frac{33}{3} \\ N=11 \end{gathered}\)Hence, the value of N is 11.
Solve this system of equations: y = 7; y = -2x+1 *
Answer:
x = -3
y = 7
Step-by-step explanation:
y = -2x + 1
7 = -2x + 1
-1 -1
6 = -2x
divide by -2
x = -3
Answer:
x = -3
Step-by-step explanation:
y = 7
y = -2x+1
substitute for y
7 = -2x+1
subtract 1 from each side
6 = -2x
divide both sides by -2
6/-2 = x
x = -3
At 2P.M., the total snowfall is 3 centimeters. At 6 P.M., the total snowfall is 8 centimeters. What is the mean hourly snowfall? Write your answer on simplest form as a fraction or mixed number. Then, explain how you got that answer.
The mean hourly snowfall in simplest form as a fraction or mixed number is 1 1/4 centimeters per hour.
Mean hourly snowfall2 PM = 3 centimeters6 PM = 8 centimetersDifference in snowfall = 8 centimeters - 3 centimeters
= 5 centimeters
Difference in time = 6 PM - 2 PM
= 4 hours
Mean hourly snowfall = Difference in snowfall / Difference in time
= 5/4 centimeters per hour
= 1 1/4 centimeters per hour
Therefore, the mean hourly snowfall in simplest form as a fraction or mixed number is 1 1/4 centimeters per hour.
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Find the measurements of X
pt
Answer:
x = 15°
Step-by-step explanation:
the inscribed angle APB is half the measure of the central angle AOB , so
x = \(\frac{1}{2}\) × 30° = 15°