Answer:
Mean=685
Variance=36.7
Step-by-step explanation:
The mean of uniform discrete distribution can be expressed as the average of the boundaries
mean=( b+a)/2
The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.
σ²=[(b-a+1)^2 - 1]/12
We were given the wavelength from from 675 to 695 nm which means
a= 675, b= 695
We can now calculate the mean by using the expresion below
mean=( b+a)/2
Mean=( 675 + 695)/2
=685
The variance can be calculated by using the expression below
σ²=[(b-a+1)^2 - 1]/12
σ²=[(695-675+1)^2 -1]/12
σ²=440/12
σ²=36.7
Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively
Cleo and her family fished for 3 days and caught 100 fish between them. They caught 12 fish on day 2 and 16 fish on day 3. How many fish did they catch on the first day.
Which equation is correct.
12x + 16 = 100
12x + 16 = 100
x + 12 + 16 = 100
x + 12 + 16 = 100
16x + 12 = 100
Answer:
x + 12 + 16 = 100
72 fishes
Step-by-step explanation:
Given parameters:
Number of days fished = 3days
Number of fishes caught = 100 fishes
Number of fish caught on day 2 = 12fishes
Number of fish caught on day 3 = 16fishes
Unknown:
Number of fish caught on the first day = ?
Solution:
Let the number of fishes caught on the first day = x;
Total number of fishes caught = No of fish on day 1 + No of fish on day 2 + number of fish on day 3
Insert the parameters and solve;
100 = x + 12 + 16
x = 100 - 28 = 72fishes
Describe the sampling distribution of Phat. Assume the size of the Population is 25,000. N = 500 P = 0.4 Determine the Mean of the sampling distribution of Phat. Determine the standard deviation of the sampling distribution of Phat.
Answer:
0.022
Step-by-step explanation:
Given that :
Population size = 25000
n = 500 ; p = 0.4
Size of random sample (n) = 500
5% of population size : 0.05 * 25000 = 1250
Distribution is normally distributed since n < 5% of population size
Hence, the mean of the distribution = p = 0.4
Standard deviation = √((pq) /n)
q = 1 - p ; q = 1 - 0. 4 = 0.6
Standard deviation = √((0.4 * 0.6) /500)
Standard deviation = 0.0219089
= 0.022
How do you do these two questions?
Answer:
y(t) → 2 as t → ∞
dP/dt = P (P/1850 − 1) (1 − P/16000)
Step-by-step explanation:
The graph shows how dy/dt changes as a function of y.
At t = 0, y = -0.5.
At y = -0.5, dy/dt > 0. Therefore, y is increasing.
y continues to increases until y = 2. At this point, dy/dt = 0, and changes signs from positive to negative, so y begins to decrease. dy/dt then becomes positive again, and the cycle repeats.
So y approaches 2 as t approaches infinity.
dP/dt is negative when P < 1850.
dP/dt is positive when 1850 < P < 16,000.
dP/dt is negative when P > 16,000.
dP/dt is 0 when P is 0.
Therefore, dP/dt = P (P/1850 − 1) (1 − P/16000).
in need help wihe lateral asn and total surface area
it takes two pizzas to feed five people how much pizza does it take to feed 45 people
Answer:
18 pizzas
Step-by-step explanation:
5x9=45
2x9=18
Welcome to Brainly :)
Answer:
18
Step-by-step explanation:
if it takes 2 pizzas to feed 5 people you 5 by 9 to get 45. You do the same with the 2 and 2 * 9 = 18
After driving 120 miles you completed 3/4 of the trip. How long was the entire trip
Answer:
160
Step-by-step explanation:
120/3 = 40
40 x 4 = 160
May I have brainliest please? :)
What is the slope of the line that runs through points (-7,-20) and (12,18)? Write the equation of that line.
Answer:
2
Step-by-step explanation:
-20 - 18 = -38
-7 - 12 = -19
-38/-19 = 2
Answer:
The slope is 2 which means the equation would be y=2x.
Step-by-step explanation:
LCM of 9 18 and 99 is :
Step-by-step explanation:
[tex]\begin{array}{c|ccc}\cline {2-4} 2 & 9 ,& 18 ,& 99 \\ \cline {2-4} 3 & 9 & ,9 & ,11 \\ \cline {2-4} 3 & 3 ,& 3, & 11 \\ & 1, & 1 , & 11 \end {array}[/tex]
LCM=2×3×3×11=198Give the slope between the points
(-2,4) (-8, 13)
Answer
Answer:
9/-6
Step-by-step explanation:
when you subtract (x2-x1) and (y2-y1) this is the answer you get.
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:Use the point slope formula
[tex]Slope = m = \frac{y_2-y_1}{x_2-x_1} = \frac{13-4}{-2-(-8)} = \frac{9}{6} = \frac{9}{6} = \frac{3}{2}[/tex]
This is the difference between two points with the rise (change in y) over the run (change in x)
Sorry it took so long for so little my girlfriend was distracting me
Hope this helps :)
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Answer:
67
Step-by-step explanation:
cause math
Answer:
It is 67
Step-by-step explanation:
If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Answer:
17.6 minutes
Step-by-step explanation:
[tex]\frac{4}{5} = \frac{x}{22}[/tex]
[tex]5x=22[/tex]
[tex]x=\frac{22}{5}[/tex]
[tex]4(\frac{22}{5} ) = \frac{88}{5} = 17.6[/tex]
what is the measure of the larger angle in this degree?
Can anyone teach mee.....................
Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = [tex]\frac{\alpha }{360}[/tex] × 2 π r, where
α is the angle of the sectorr is the radius of the circle∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π = [tex]\frac{22}{7}[/tex]
→ Substitute them in the rule above
∵ 22 = [tex]\frac{60}{360}[/tex] × 2 × [tex]\frac{22}{7}[/tex] × r
∴ 22 = [tex]\frac{22}{21}[/tex] r
→ Divide both sides by [tex]\frac{22}{21}[/tex]
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path. which number line correctly models this situation and the total number of distance markers?
Given :
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path.
To Find :
Which number line correctly models this situation and the total number of distance markers.
Solution :
It is given that their are markers every 1/4 part of mile.
So, their are 4 markers per mile.
Numbers of markers in 3 miles long path is :
[tex]n = 3\times 4\\\\n = 12[/tex]
Therefore, the total number of distance markers in 3 mile path is 12.
Hence, this is the required solution.
What is the nearest hundred for 0.8 divided by 0.6?
Answer:
_
1.3
Step-by-step explanation:
the line is above the three because it repeats
22 What is the circumference of the circle? Use 7 for yr. 35 cm 44 cm 55 cm
Answer:
B) 55 cm
Step-by-step explanation:
it’s correct from EDGE
What's the largest odd number you can make using all four digits 4, 5, 3, 6
Answer:
6543
Step-by-step explanation:
Not much to explain lol
Here,
Odd numbers are 3 and 5.
5>3The largest odd number =6543
An office building has 66000 of net income and sold for 550000. What is the rate of return
Answer:
The rate of return will be: 12%
Step-by-step explanation:
Given
Net income = 66000As the building was sold for 550000
Market value = 550,000Return can be calculated by dividing the market value by the net income using the formula
Return = Net income / Market value
= 66000 / 550,000
= 0.12 which is 12%
Therefore, the rate of return will be: 12%
round 23.2736 to the nearest thousandth
Answer:
23.274
Step-by-step explanation:
Here, rounding to the nearest thousandth means rounding to the nearest 0.001.
Hence, due to the digit being rounded having a number larger than 5 after it (0.2736), it is rounded up.
Hope this helped!
The required round-off of the number 23.2736 is 23.274.
To determine the round of the number 23.2736 to the nearest thousandth.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
The given number 23.2736,
The number next to the thousandth place is 6 which is greater than 5 than the number 6 can be pushed to 10 and the number 1 will be added to the number in the thousandth place which is 3.
So the required round-off would be given as 23.234.
Thus, the required round-off of the number 23.2736 is 23.274.
Learn more about round the decimal here;
brainly.com/question/867784
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Distributive property is a property of equality?
- True
-False
Answer:
Its True
Step-by-step explanation:
what is the reciprocal of 11
Answer:
[tex]\frac{1}{11}[/tex]
Step-by-step explanation:
11 is [tex]\frac{11}{1\\}[/tex] so to get the reciprocal just flip it to [tex]\frac{1}{11}[/tex]
Length of a rectangle is 8 inches and width of it is 3 inches. What is the area?
Answer:
24
Step-by-step explanation:
8 times 3=24
a rectangular parking lot has length that is greater than the width the area of the parking lot is 160 square yards find the length and the width use formula area=length*width the parking lot length
A random sample of size 1,000 is taken from a population where p = .20.
Find P( < .18).
A. .9429
B. .0571
C. .2643
D. .0793
The value of P( < 0.18) is 0.057.
What is p value?The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.
Given:
Sample Size = 1000
and, p= 0.20
So, P( P' < 0.18)
= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )
= P ( P'- P / √ P(1- P)/ n < -0.02/ 0.0126)
= P ( P'- P / √ P(1- P)/ n < - 1.582)
= P( z < - 1.582)
= 0.056939
= 0.057
Learn more about p- value here:
https://brainly.com/question/14790912
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What is the value of tan c
Answer:
In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°
A hiking trail down the side of Mt. Tom drops a vertical distance of 60 meters over a horizontal distance of 300 meters. What is the slope of the trail? Express your answer as a reduced fraction.
Answer:
Step-by-step explanation:
Slope of the trail is expressed as;
Slope = vertical distance/horizontal distance
Given
Vertical distance = 60metres
Horizontal distance= 300metres
Substitute
Slope = 60/300
Slope = 6×10/30×10
Slope = 6/30
Slope = 6×1/6×5
Slope = 1/5
Hence the slope of the trail in reduced fraction is 1/5
In a certain fraction, the denominator is less 7 than the numerator. If 3 is added to both the numerator and denominator, the resulting fraction is equal to 15/8
. Find the original fraction.
Answer:
original fraction =12/5
Step-by-step explanation:
let x = numerator
therefore
x+3/x-7+3 =15/8
x+3/x-4 =15/8
8(x+3)=15(x-4)
8x+24=15x-60
84=7x
84/7=x
12=x
therefore original fraction = 12/5
Which equation has the same solution as 4-2(x-5)=x-19
A. 2(x+5)=-8
B. 3(x-3)=9
C. x+2=2x-3
D. 3x-4=2x+7
Corina pays $5.00 for materials to make pillows. She makes 3 pillows and sells 2 for $10.00 each and 1 for 5.00 what is corinne’s profit.
Answer:
$20
Step-by-step explanation:
She has 5 dollars originally, she sells 2 pillows for $10 each that = $20 and then she sold one for $5 but she spent a original $5 on material so $25 - $5 = $20