Answer:
C
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The correct interpretation of the standard deviation of the discrete distribution is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.What is the standard deviation of a discrete distribution?To find the standard deviation, first we have to find the mean.The mean is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is given by the square root of the sum of the difference squared of each outcome and the mean, multiplied by it's respective probability.It represents by how much the distribution varies from the expected value.In this problem, the distribution is:
[tex]P(X = 0) = 0.02[/tex]
[tex]P(X = 1) = 0.03[/tex]
[tex]P(X = 2) = 0.07[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.30[/tex]
[tex]P(X = 5) = 0.28[/tex]
[tex]P(X = 6) = 0.18[/tex]
Hence, the mean is:
[tex]E(X) = 0.02(0) + 0.03(1) + 0.07(2) + 0.12(3) + 0.3(4) + 0.28(5) + 0.18(6) = 4.21[/tex]
Then, the standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.02(0-4.21)^2 + 0.03(1-4.21)^2 + 0.07(2-4.21)^2 + 0.12(3-4.21)^2 + 0.3(4-4.21)^2 + 0.28(5-4.21)^2 + 0.18(6-4.21)^2} = 1.40[/tex]
Hence, the correct option is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.As the measure is the number of eggs, not the mean number of eggs.
You can learn more about the standard deviation of a discrete distribution at brainly.com/question/21186607
RT and UW are parallel lines.
Which angles are alternate exterior angles?
Options:
a) <RSQ and <WVX
b) <RSQ and <TSV
c) <RSQ and <TSQ
d) <RSQ and <UVX
Answer: it is a,
Step-by-step explanation:
. Evaluate 8^0 helppp please
Answer:
1
Step-by-step explanation:
[tex] {8}^{0} = 1 \\ [/tex]
Any number raised to zero is always equal to one.
Can someone please help me with this question.
Answer:
Since FAB and GED are congruent they also create the same angle. The angle is shown with the curved line. AE is a straight line, or 180 degree angle. This means that FAB and ABC must create a 180 degree angle... and if FAB is congruent to GED then GED and EDC are also congruent.
Step-by-step explanation:
I hope this made sense, it's kind of messy but I hope it helps.
Please help I’ll give brainlist
Answer: v = 12
Step-by-step explanation:
What is the value of x?
Step-by-step explanation:
i hope u got it ....
thank u!!
Simplify so it's in slope-intercept form (y=mx+b)
y - 125 = 55(x - 2)
Answer:
y = 55x + 15
Step-by-step explanation:
i think this is it, but it might not be right
Write an equation of a line that passes through the point (-2,3) and is perpendicular to
the line x = 4
Answer:
y = 3
Step-by-step explanation:
x = 4 has an undefined slope meaning on a graph the line is vertical. In order to form a line perpendicular to this, we need a line with zero slope (horizontal line). We need to look strictly at the y coordinate to help determine the equation. In this case, we have a y coordinate of 3. Therefore, the equation will be y = 3.
Andres is running a race that is 13.1 miles long. He has already run 1.1 miles.
Which equation and solution correctly represent how many miles, m , Andres has left to run?
answers for both boxes for 25 points
Step-by-step explanation:
gave you in Photo..... please do mark as brainlist
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
Answer:528
Step-by-step explanation:
This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528
PLEASE HELP ME WITH THIS
Please help me I will give you bring me if it’s right
Answer:
Yuor answer is X
Step-by-step explanation:
Evaluate (1/3)^3 from Brainly
Answer:
1/27
Step-by-step explanation:
(1/3)^3 = (1/3)(1/3)(1/3) = 1/(3x3x3) = 1/27
I hope this helped, and if it did, please mark this as brainliest! Thanks!
Answer:
simplified: 1/27
rewritten: 3^-3
Step-by-step explanation:
a b c or d help me plzz
Answer:
D
Step-by-step explanation:
Answer:
The correct answer is D
Step-by-step explanation:
pls put me as brainly
I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!! :)
Answer:
[tex]\frac{log(x + 2)}{log4}[/tex] is the correct answer
Step-by-step explanation:
The formula for change of base in logarithm is given by,
[tex]logba = \frac{logc a}{logc b}[/tex]
If we take the common base as 'e' , the formula becomes,
[tex]logba = \frac{log a}{log b}[/tex]
Applying this formula,
[tex]log4(x + 2) = \frac{log(x +2)}{log4}[/tex]
∴ As the first option matches with our answer, hence it is the correct answer.
( In the fourth option a bracket is missing, so it is not the correct option)
Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
A. The graph of his the graph of g vertically shifted up 1 unit.
B. The graph of his the graph of g vertically shifted down 1 unit.
C. The graph of his the graph of g horizontally shifted left 1 unit.
D. The graph of h is the graph of ghorizontally shifted right 1 unit.
Answer:
A. The graph of his graph of g vertically shifted up 1 unit.
Step-by-step explanation:
h(x) = g(x) + 1
h(x) = x² + 1
The graph shifted up 1 unit.
Answer:
A. The graph of his graph of g vertically shifted up 1 unit.
Step-by-step explanation:
h(x) = g(x) + 1
h(x) = x² + 1
The graph shifted up 1 unit.
help pls
Find the solution of this system of equations
8x - 5y = -25
-2x - 5y = -25
Enter the correct answer.
Answer:
x=0 and y=5
Step-by-step explanation:
8x-25+2x=-25
Write 70 cm as a fraction of 4.2 m. Give your answer in its simplest form.
Answer:
1/6
Step-by-step explanation:
First convert 4.2m to cm
100cm = 1m
x = 4.2m
x = 4.2 * 100
x = 420cm
70cm to 420cm = 70/420
70/420 = 7/42
7/42 = 1/6
Hence 70 cm as a fraction of 4.2 m is 1/6
Could you help me on this, I need to submit soon as well :)
Answer:
6
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
What is the length of arc S shown below?
Enter an exact expression.
Answer:
The length of the arc is 1.6 cm
Step-by-step explanation:
To find the value of the length of the arc, we use the length of arc formula
Mathematically, this is;
theta/360 * 2 * pi * r
where theta is the central angle
In this case pi/4 = 180/4 = 45 degrees
r = 2 cm
So the measure of the length of the arc will be;
L = 45/360 * 2 * 22/7 * 2
= 1/8 * 4 * 22/7
= 22/7 * 1/2 = 11/7 = 1.57 cm which is approximately 1.6 cm
Answer:
π/2
Step-by-step explanation:
Khan
pls guys help me
The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is
119.
129.
135.
145.
what is {1x+89x(8+29x)}{2x+89x(x+9)}
Answer:
229709x^4+2136000x^3+572539x^2
Step-by-step explanation:
A 12-foot ladder is placed 4 feet away from a house as shown.
A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.
What is the value of x, rounded to the nearest degree?
x ≈
°
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.
Is this ladder being used safely?
Answer:
#1.
cos(x) = adjacent/hypotenuse = 4/12 ≈ 0.3333 ⇒ x ≈ 71°
#2
71° is between 70° and 75°, so the answer is yes, the ladder being used safely.
Step-by-step explanation:
Answer:
71
yes
Step-by-step explanation:
Just did it, have a good day!
A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.4 in. The slant height of the pyramid is 90.4 in. What is the height of the pyramid?
Answer:
89.57in
Step-by-step explanation:
Given the following
Slant height of the pyramid l = 90.4in
Length of one side of the base b =24.4in
Required
Height of the pyramid H
To get the height we will use the Pythagorean theorem as shown
l² = h²+(b/2)²
Substitute the given values
90.4² = h²+(24.4/2)²
90.4² = h²+12.2²
h² = 90.4²-12.2²
h² = 8023.32
h = √8023.32
h = 89.57in
Hence the height of the pyramid is 89.57in
You take a taxi for a distance of 4 miles. You paid $6 for the trip Your friend uses the same taxi company to travel 10 miles , and pays 10.50. How much does the taxi company charge per mile, how much is the taxi company’s initial fare? And how much would the company charge for a 15 mile trip?
Answer:
1.12 dollers per mile
basic fee is 1.52 dollars
15 mile thing is 18.32 dollars
Step-by-step explanation:
branilest? PLEASE
Determine whether each number is a solution of the
given inequality.
3y - 8 > 22
when y = 2
O YES (y = 2 is a solution of the inequality)
O NO (y = 2 is not a solution of the inequality)
Answer:
no
Step-by-step explanation:
as if the answer is 2 then the left hand side is less than the right and the equation states that the left is ment to be greater
SWEET POINTS IF YOI TELL ME WHAT THIS IS !!
Answer:
Area of circle
Step-by-step explanation:
No matter what, area stays the same
Can someone help me ?!
Answer:
y<-2x-3
Step-by-step explanation:
Your first step is to find the equation of the line. You can see that the y-intercept is -3, therefore your b is -3. So now your formula looks like this:
y=mx-3
To find m, you substitute in an x value and its corresponding y value. When you do this you will get -2.
Now it looks like this:
y=-2x-3.
Now that you have the equation of the line, you can look at the inequality. Since the line is dotted, that means it is not included in the inequality. That mean it cannot contain an equal to. So the only options we have are < and >. Since the shaded area is to the left, which is the negative side, we can conclude that y<-2x-3 is the correct equation.
HOPE THAT THIS IS HELPFUL!
Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 =2d− 2 13 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=
Answer:
[tex]d = -\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]
Required
Solve for d
[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]
Collect Like Terms
[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]
[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]
Take LCM
[tex]4d=\dfrac{-13+11}{2}[/tex]
[tex]4d=\dfrac{-2}{2}[/tex]
[tex]4d = -1[/tex]
Make d the subject
[tex]d = -\dfrac{1}{4}[/tex]
Please help, this is called Writing Equations
Answer:
4n - 4 = 14
Step-by-step explanation: