Answer:
Step-by-step e
-35
Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, about 22 percent of the population weighs over 0.5 kilogram (kg). For the western gray squirrel, about 36 percent of the population weighs over 0.5 kg. A random sample of 60 squirrels will be selected from the population of eastern gray squirrels, and a random sample of 120 squirrels will be selected from the population of western gray squirrels. What is the mean of the sampling distribution of the difference in sample proportions (eastern minus western)
Answer:
p₁ - p₂ = ( -0,28 . 0 )
Step-by-step explanation:
Eastern gray squirrel
Sample size n₁ = 60
p₁ = 22 % p₁ = 0,22 then q₁ = 1 - 0,22 q₁ = 0,88
Western gray squirrel
Sample size n₂ = 120
p₂ = 36% p₂ = 0,36 Then q₂ = 1 - 0,36 q₂ = 0,64
p (s) = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂)
p(s) = ( 0,22 - 0,36 ) /√ (0,22*0,88)/60 + ( 0,36*0,64)/120
p(s) = -0,14 /0,071
p(s) = - 1,9718
Then
CI = ( p₁ - p₂ ) ± p(s) *EED
EED = /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂) = 0,071
CI = ( - 0,14 ± 1,9718 * 0,071 )
CI = ( - 0,14 ± 0,14 )
CI = ( - 0,28 ; 0 )
we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval ( -0,28 , 0 )
p₁ - p₂ = ( -0,28 . 0 )
The sampling distribution of the difference in the proportions between proportion is given by possible values of the difference.
The mean of the difference in sample proportion is; (E) 0.22 - 0.36
Reasons:
The given information are;
Percentage of eastern gray squirrel population weighing over 0.5 kg = 22%
Percentage of western gray squirrel population weighing over 0.5 kg = 36%
Sample size of the eastern gray squirrels = 60
Sample size of the western gray squirrels = 120
Required:
The mean of the sampling distribution of the difference in sample proportions (eastern minus western)
The mean of the difference is given by the difference of the mean.
The mean of the sampling distribution of the difference in the sampling proportion from two populations is; Mean = p₁ - p₂
Where;
p₁ = The proportion of the eastern gray squirrel = 22% = 0.22
p₂ = The proportion of the western gray squirrel = 36% = 0.36
Therefore;
Mean = p₁ - p₂ = 0.22 - 0.36
The correct option is (E) 0.22 - 0.36
Learn more here:
The possible question options obtained online includes;
[tex](A) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{120} + \dfrac{0.36\cdot (0.64)}{60} }[/tex]
[tex](B) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{60} + \dfrac{0.36\cdot (0.64)}{120} }[/tex]
(C) 60·(0.22) - 120·(0.36)
(D) 0.36 - 0.22
(E) 0.22 - 0.36
Evaluate 10 - (x + 3) when 2 = 2.
Answer:
5
Step-by-step explanation:
Im asuming you meant " x = 2 ".
According to PEMDAS, parenthese come first so...
10 - ( 2 + 3 )
= 10 - 5
= 5
Answer:
its 50
Step-by-step explanation:
10 times (x+3) x=2
2 plus 3 is 5
10 time 5
=50
Zan has created this rule for generating sequences of whole numbers. If a number is 25 or less, double the number. If a number is more than 25, subtract 12 from it. For example, if Zan starts with 10, she gets the sequence 10, 20, 40, 28, 16,... If the third number in Zan's sequence is 36, what is the sum of the four distinct numbers that could have been the first number in her sequence
Answer:
123
Step-by-step explanation:
Given that:
Method to generate the sequence:
If a number is less than or equal to 25, then the number is doubled.
And if the number is more than 25, then 12 is subtracted from it.
Here, we are given a sequence with its third number is 36.
Now, let us have a look by making the number 36 as half of its value.
[tex]\frac{36}{2}[/tex] = 18
This could have been the second number in the.
According to this, the first number will be [tex]\frac{18}{2} = \bold{9}[/tex]
Other option for the first term can be 18 + 12 = 30
By second method, the second method can be:
36 + 12 = 48
By this method, First number 48 + 12 = 60
Other option for first number can be [tex]\frac{48}{2 } = \bold{24}[/tex]
Therefore, sum of four options of first term:
9 + 30 + 60 + 24 = 123
Round the 173.235 to the nearest hundredth.
Answer:
173.200
Step-by-step explanation:
What is the image of (-7, -6) after a dilation by a scale factor of 4 centered at the
origin?
Answer: (-28, -24)
Step-by-step explanation:
Since the scale factor is four, it denotes that it’s a positive dilation. The question is asking for 4 times the point. In other words, where would the point be if it was stretched out 4 times.
If you draw a line from the given to the QED, (-7, -6) to (-28, -24), then you’ll realize that the image is 4 time the original point.
K= (-7*4, -6*4)
Any number less than one means the point or shape is being compressed or made smaller.
solve for x 4(x-3)-8=16
Answer:
x=9
Step-by-step explanation:
4(x-3)-8=16
1. Distribute
(4x) - (4*3) - 8 =16
4x-12-8=16
Combine the 12 and the 8
4x-20=16
Add 20 to both sides
4x-20+20=16+20
4x=36
Divide by 4.
x=9
Hope this helps plz hit the crown :D
Find the 75th term of the following arithmetic sequence.
12, 21, 30, 39,
9514 1404 393
Answer:
678
Step-by-step explanation:
The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...
an = a1 +d(n -1)
For a1 = 12 and d = 9, this is ...
an = 12 + 9(n -1)
Using 75 for the value of n, we have ...
a75 = 12 + 9(75 -1) = 12 + 666 = 678
The 75th term is 678.
You bought 5 chocolate bars and 8 blow pops for $23.25. Your sister bought 2 chocolate bars and 13 blow pops for $21.55. How much did each chocolate bar cost?
Answer:
$2.65Step-by-step explanation:
Let chocolate bar cost = c and blow pops cost = b
As per given we have equations below:
5c + 8b = 23.25 2c + 13b = 21.5513 times the first equation minus 8 times the second to eliminate b and find c:
13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55) 65c - 16c = 129.85 49c = 129.85 c = 129.85/49 c = 2.65Each chocolate bar costs $2.65
The coordinate grid shows three points P, Q, and R:
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.
The distance between Q and R is ______ units.
Numerical Answers Expected!
Answer for Blank 1:
Answer:
10 unitsStep-by-step explanation:
Given:
Point Q = (-6, -6)Point R = (4, -6)The segment QR is horizontal as both have same y- coordinate of -6.
The distance between Q and R is the distance between x- coordinates:
4 - ( -6) = 10 unitsAnswer:
10
Step-by-step explanation:
i took the test flvs right segmant exam
Plz help meee!!!!!!!!!!!!!!11
Answer: 15) 1 16) 30
Step-by-step explanation:
15 ) Since 15 you are shown that the larger has 30 & 5 so, if it has shrunk until now that 30 has turned into 6 that means it has shrunk by 5 times the original bigger triangle has (30 divided by 6 = 5). 5 can go into 5 1 time so you get 1
16) We have an isosceles triangle so all the sides will be equal. So If one side is 30 then the rest will be 30. This is also shown with the smaller triangle, with both sides equaling 6.
PLEASE HELP ITS DUE IN 10 MINUTES
write a linear function f with the values f(1)=4 and f0=3
Answer:
Write a linear function f with the values f(2)=−2 and f(1)=1.
So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1
We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.
Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3
Find the Y intercept by in one of the points for x and y and solving for B
Y = 3(X) + B
I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2
Put them together in intercept form: Y = 3(X) -2
Step-by-step explanation:
Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps
Solve for L.........
Answer:
L = P/2 - W
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
P = 2L + 2W
Step 2: Solve for L
Subtract 2W on both sides: P - 2W = 2LDivide 2 on both sides: (P - 2W)/2 = LDistribute division: P/2 - W = LRewrite: L = P/2 - WSolve the following equation for f. Be sure to take into account
whether a letter is capitalized or not.
9 = Gf
Answer:
f is equal to 3 which means g is also equal to 3
Step-by-step explanation:
the width of a rectangle is 15inches more than the length the perimeter is 90inches find the
Answer:
Step-by-step explanation:
we have W=L+15 and P=90 lets replace W with this equation
P=2L+2W=2L+2(L+15)=2L+2L+30=4L+30
90=4L+30
60=4L
where L=60/4=15
we have W=30, L=15
Given a point A(-3,-1), it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?
Answer:
[tex]B' = (-3, -15)[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,-1)[/tex]
[tex]A' = (-9,-3)[/tex]
[tex]B = (-1,-5)[/tex]
Required
Determine the coordinates of B'
Since A' is the image of A; we need to first calculate the scale factor using
[tex]A' = A * Scale\ factor[/tex]
Make Scale Factor the subject
[tex]Scale\ Factor = \frac{A'}{A}[/tex]
Substitute values for A' and A
[tex]Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}[/tex]
Factorize the numerator
[tex]Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}[/tex]
[tex]Scale\ Factor = \frac{3 * 1}{1}[/tex]
[tex]Scale\ Factor = 3[/tex]
The coordinates of B' is then calculated as follows:
[tex]B' = B * Scale\ Factor[/tex]
Substitute values for B and Scale Factor
[tex]B' = (-1,-5) * 3[/tex]
[tex]B' = (-3, -15)[/tex]
A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.
(a) What must be true regarding the distribution of the population in order to use the
normal model to compute probabilities involving the sample mean? Assuming that
the condition is true, describe the sampling distribution of sample mean.
(b) Find P(x < 67.3).
(c) Find P(x > 65.2).
Answer:
Kindly check explanation
0.57691
0.4719
Step-by-step explanation
A.) The distribution of sample means must follow a normal distribution ;
Mean = 64 ; Standard deviation = 17 ;
Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155
N(64 ~ 17)
Given that:
mean (m) = 64
Sample size (n) = 20
Standard deviation (s) = 17
Find
P(x < 67.3)
Z = (x - m) / s
Zscore = (67.3 - 64) / 17
Zscore = 0.1941176
P(Z < 0.194) = 0.57691 (Z probability calculator)
(c) Find P(x > 65.2).
Zscore = (65.2 - 64) / 17
Zscore = 0.0705882
P(Z > 0.0705) = 0.4719 (Z probability calculator)
HELLLPPP I WILL MARK BRAINLIEST
Answer:part, whole
Step-by-step explanation:
Part, whole
whats the answer? if you know it
Answer:
Step-by-step explanation:
360
hard 9th grade work pls help
What is the percent of the figure that is shaded. Drag the correct answer to the box labeled "Correct percentage." 65% 60° .65% 650%
Answer:
60
Step-by-step explanation:
HELP ASAP QUESTION IN PHOTO
Best answer gets brainiest. On Wednesday at camp, Diana went for a hike at 5:35 A.M. The hike took 1 hour and 30 minutes. As soon as she got back from the hike, Diana played volleyball for 55 minutes. What time did Diana finish playing volleyball?
Include A.M. or P.M. in your answer.
Answer:
Diana finshed playing volleyball at 8am
Step-by-step explanation:
So we know she started at 5:35 AM
And she hiked for an hour and 30 minutes
so 5:35+1 hour is 6:35
and 6:35+35 is 7:05
So before playing volley ball, the time is 7:05 am
Now volley ball was 55 minutes
so 7:05+55 is 8
So 8am
Answer:
She finish playing valleyball at 8:00 am
Step-by-step explanation:
Hike at 5:30 => 1h 30 min => 7:05
valleyball at 7:05 => 55 min => 8:00
A box contains 4 red pens, 3 blue pens, and 5 black pens. A pen is selected at random, not replaced, and then a second pen is selected. Find probability of: P(red, then blue)
Answer:
bbbbbb
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbb
On a coordinate grid, point A is at (−3.0, −5.4) and point B is at (−3.0, 5.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y. (1 point)
2
Answer:
y.
Point B is reflected at from point A at y-axis.
I need help with this one please
Answer:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3. b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
Step-by-step explanation:
From the above question, we are to find the pairs through expansion or factorisation
a) (3x + 2)(9x² - 6x + 4)
b) 9x² - 24xy + 16y²
c) (4x - 3y)²
d) (3x - 2)(9x² + 6x + 4)
e) (3x + 5) (3x - 4)
f) 9x² + 3x - 20
g) 27x³ - 8
h) (3x - 4y)²
a) (3x + 2)(9x² - 6x + 4)
We expand.
3x(9x² - 6x + 4) + 2(9x² - 6x + 4)
27x³ - 18x² + 12x + 18x² - 12x + 8
27x³ - 18x² + 18x² + 12x - 12x + 8
= 27x³ + 8
c) (4x - 3y)²
We expand
(4x - 3y) (4x - 3y)
4x(4x - 3y) - 3y ( 4x - 3y)
16x² - 12xy - 12xy + 9y²
16x² - 24xy + 9y²
d) (3x - 2)(9x² + 6x + 4)
We expand
3x(9x² + 6x + 4) - 2(9x² + 6x + 4)
27x³ + 18x² + 12x - 18x² - 12x - 8
27x³ - 18x² + 18x² + 12x - 12x - 8
= 27x³- 8
e) (3x + 5) (3x - 4)
We expand
3x(3x- 4) +5(3x - 4)
9x² - 12x + 15x - 20
9x² +3x - 20
h) (3x - 4y)²
We expand
(3x - 4y) ( 3x - 4y)
3x(3x - 4y) -4y(3x - 4y)
9x² - 12xy - 12xy - 16y²
9x² - 24xy - 16y²
Hence:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3) b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
I need help on this question for middle school.
Answer:
2y+12
Step-by-step explanation:
4(7/8y-4-3/8y+7)
first, in the parentheses (because of PEMDAS), combine like terms
4(7/8y-3/8y+-4+7)
4(4/8y+3)
Simplify 4/8y
4(1/2y+3)
now apply distributive property and multiply each number by 4
2y+12
Hope this helps!
Answer:
(2y + 12)
Step-by-step explanation:
4(7/8y-4-3/8y+7)
first, in the parentheses, combine like terms.
then apply distributive property and multiply each number by 4.
Sorry my answer wasn't complete last time:) Hope this is better:)
Find the perimeter of the image below.
30.18 units
33 units
28.38 units
34.18 units
Answer:
125.74 units
Step-by-step explanation:
30.18 units
33.00 units
28.38 units
34.18 units
125.74
Help 6th grade math thanks
Answer:
8.75
Step-by-step explanation:
In order to find the unit rate, you need to divide the variable by the independent variable. In this case, your dependent variable would be $122.50 because the cost depends on how much you are buying; you're independent variable will be 14 because it doesn't depend on the other.
Divide 122.5 by 14 and your answer would be 8.75
Hope this helps!!! :)
Also, please give me brainliest if you don't mind. :)
If you don't want to, then it's okay.
8.75 hope this answers your question.
please help me will mark brainliest
How can you use an inequality to describe the dimensions of a figure?
A scalene triangle can be identified by the inequality of the lengths of its sides and size of its angles.
N x 3/8 = 1 What is N?
Answer:
[tex]N=\frac{8}{3}[/tex]
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)