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
Kai wrote the number 85 on the board. Is 85 a prime or composite?
Hello there!
85 is composite.
There are 3 ways of determining whether a number is prime or composite.
Check if the number is even. If it is, it's 100% compositeIf the number is odd, then look at its last digit. If it's 2, 4, 6, 8, 0 or 5, then it is composite.If the last digit is not 2, 4, 6, 8, 0 or 5, look at the factors of the given number. If it has 2 factors, then it's prime. If it has more than 2 factors, it's composite.Hope this helps!
[tex]GraceRosalia[/tex]
Solve
5y+1/5y-25*1/25=0
Answer:
y = [tex]\frac{5}{26}[/tex]
Step-by-step explanation:
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
Simplify, remember the order of operarions;
1. Parentehsis
2. Exponents
3. Multiplication/division
4. Addition/subtraction
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
[tex]5y + \frac{1}{5}y - 1 = 0[/tex]
[tex]5y +0.2y - 1 = 0[/tex]
[tex]5.2y -1 =0[/tex]
Inverse operations;
[tex]5.2y -1 =0[/tex]
+1 +1
5.2y = 1
/5.2 /5.2
y = [tex]\frac{5}{26}[/tex]
The measure of an exterior angle of a polygon is 10 degrees. How many sides does the
polygon have?
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6-9)?
OA. x= -9
OB. x=-6
Oc. y=9
OD. y= -4
Answer:
B. x = -6
Step-by-step explanation:
A line with the equation, y = ¼, is a horizontal line. Therefore, the line that is perpendicular to it would be a vertical line, which can be represented by the equation, x = a. Where, a is the x-value or the point where the vertical line intersects the x-axis. This x-coordinate remains the same for every point on the vertical line.
Thus, since the perpendicular line passes through (-6, -9), therefore, the value of a = -6.
Thus, the equation of the perpendicular line would be:
x = -6
Mike and Breanna like to run after swim practice each day. Usually they run the same distance, x miles. Today, however, they ran different
distances.
• Mike ran at 7 miles per hour and ran 2 more miles than usual.
• Breanna ran at 6 miles per hour and ran 1 more mile than usual.
Complete the table to show each person's distance and rate, which could be used to create rational equation relating their distance, rate, and
time
Distance
Rate
Mike
Breanna
Answer:
Step-by-step explanation: i got it right :) hopefully you get it in time!
How do you calculate run time and speed?
32 min * 8 min per mi = 4 miles How to calculate run time. Multiply your pace by your distance; If the pace is 9.5 minutes per mile and you run 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time.
What do you do to calculate average speed?
choose one point on the line.choose another point on the line.find the time difference between the points.find the distance differences between the points.divide the differences in the distance by the difference in time.Learn more about average speed here https://brainly.com/question/5147964
#SPJ2
vary hard 6th grade work
Answer:
A image was not attached
Step-by-step explanation:
A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?
Answer:
200 pounds per crate
Step-by-step explanation:
because if you divide 1600 by 8 than you get 200 pounds. then that is you unit rate
Answer:
250
2000 divided by 8
Step-by-step explanation:
Write the equation of a line that is parallel to Y =3x-2 that passes through (4,1)
Answer:
The equation of the line is y = 3x - 11.
Step-by-step explanation:
We are given the equation of a line:
[tex]\bullet \ \ \ y = 3x -2[/tex]
We are also given a point at which the line passes through.
[tex]\bullet \ \ \ (4, 1)[/tex]
With parallel lines, it is important to note:
Parallel lines have the same slope.Parallel lines must have a different y-intercept.We can use the point-slope equation to find the equation of the line:
[tex]\displaystyle y-y_1 =m(x-x_1)\\\\y - 1 = 3(x - 4)\\\\y - 1 = 3x - 12\\\\y - 1 + 1 = 3x - 12 + 1\\\\y = 3x - 11[/tex]
Therefore, the line that is parallel to y = 3x - 2 and passes through the point (4, 1) is y = 3x - 11.
Christopher is deciding between two landscaping companies for his place of business. Company A charges $30 per hour and a $200 equipment fee. Company B charges $50 per hour and a $100 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the number hours,
t
,
t, that would make the cost of each company the same.
Answer:
A=30t+200
B=50t+100
The number of hours,t, that would make the cost of each company the same is 5.
30(5)+200= A
150+200=350
50(5)+100= B
250+100=350
Find the 19th term (-1,-4,-7,-10)
Answer:
- 55Step-by-step explanation:
Given sequence:
-1,-4,-7,-10, ...The first term is -1 and the common difference is -3
19th term is:
- 1 + 18(-3) = -1 - 54 = -55Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10 minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?
Answer:
56.7
Step-by-step explanation:
Just Add all numbers
Triangle MNO is congruent to Triangle PQR. What is the measure of
Answe
Step-by-step explanation:
Answer: C :79.5
Step-by-step explanation:
Since both triangles are congruent the angles are also congruent. P the measure we are trying to find is congruent to M since they’re equal it should look like this
5x-19 = 3x+20.4
5x = 3x+ 39.4
2x = 39.4
X= 19.7
to find the measure of angle P plug in X to its equation so
3x + 20.4
3 (19.7) + 20.4
= 79.5
If d stands for the diameter of a circle and r stands for the radius of a circle, then:
A d = 2r
B = 2d
O c d = 3. 141
D. = 3.140
O E. d= 72
PLEASE HURRY!
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.
[tex]( - 5 {x}^{2} - 2x + 4) + (8 {x}^{2} - x - 1) - (x + 2)(x - 5)[/tex]
The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
Answer:
The polynomial simplifies to a quadratic with a degree of 2
Step-by-step explanation:
Expand and simplify everything
-5x²-2x+4+8x²-x-1-x²+5x-2x+10
-5x²+8x²-x²-2x-x+5x-2x+4-1+10
2x²+13
Pls Answer the Question in the Photo
I need help i dont understand any of this
Step-by-step explanation:
multiply all the fractions together in your calculator :)
If average of 3 quantities is 15 , sum of quantities is....?
Answer:
45
Step-by-step explanation:
Let the three quantities be x, y and z.
[tex] \because \: average = \frac{sum \: of \: quantities}{no \: of \: quantities} \\ \\ \therefore \: 15 = \frac{x + y + z}{3} \\ \\ 15 \times 3 = x + y + z \\ \\ \huge \purple{ 45 = x + y + z}[/tex]
There are three modes of transporting material from Ontario to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is by highway and the rest by rail shipments. The percentages of damaged cargo are, respectively, 10% by highway, 5% by rail, 6% by sea, and 2% by air. (1) What percentage of all cargoes may be expected to be damaged? (2) If a damaged cargo is received, what is the probability that it was shipped by land? By sea? By air?
Answer:
0.057
0.6140
0.3158
0.0701
Step-by-step explanation:
Given that:
Let :
P(L) = Number transported by land = half = 50% = 0.5
P(S) = number transported by sea = 30% = 0.3
P(A) = Number transported by air = (100 - (50 + 30))% = 20% = 0.2
P(H) = highway transport = 40% of land transport = 0.4 * 0.5 = 0.2
P(R) = Rail shipment =(100- 40)% = 60% of land transport = 0.6 * 0.5 = 0.3
Percentage of damaged cargo :
Let probability of damage = P(d)
P(d | H) = 0.1
P(d | R) = 0.05
P(d | S) = 0.06
P(d | A) = 0.02
1) What percentage of all cargoes may be expected to be damaged
[P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2) = 0.057
(2) If a damaged cargo is received, what is the probability that it was shipped by ;
land?
([P(d | H)*p(H)] + [P(d | R)*p(R)]) / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
((0.1*0.2) + (0.05*0.3)) / (0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2)
= 0.035 / 0.057
= 0.6140
By sea?
[P(d | S)*p(S)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.06 * 0.3) / 0.057
= 0.3158
By air?
[P(d | A)*p(A)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.02 * 0.2) / 0.057
= 0.0701
Solve the following logarithmic equation.
Delta math helpppp!!!!!!!!!
w/6 = 6/9 Im failing mathhhh helpppp
Answer:
W = 4
Step-by-step explanation:
4/6 = 6/9
2/3 = 2/3
What is 0.000435 in scientific notation?
A. 4.35 • 10/6
B; 4.35 • 10/4
C; 4.35 • 10/6
D; 4.35 • 10/4
Answer:B; 4.35 • 10/4
Step-by-step explanation:
need answer thx in advanace!
Answer:
13
Step-by-step explanation:
The term is in an arithmetic progression.
That means there is 6 between each term and the next one.
Givens
a = -30
d = 6
last term an = 42
Formula
L = a + (n - 1)*d
Solution
42 = -30 + (n -1 )*6 Add 30 to both sides
42+30 = (n - 1) * 6 Combine the terms on the left.
72 = (n - 1)*6 Divide both sides by 6
72/6 = n - 1
12 = n - 1 Add 1 to both sides
12 + 1 = n
n = 13
a number s is at least -2 or less than -6 (how will it be graphed on a number line?)
Answer:
subtract 2-6 and the just put a - in front of 4 so -4
Step-by-step explanation:
Answer:
-2 will be 2 times to the left of zero and -6 would be 6 spaces to the left of zero.
Alex drives at an average speed that is
4/5 of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 18 km in her car.
Roy travels for 1 hour and 45 minutes on his train.
How far does Roy travel to 2 dp?
Step-by-step explanation:
Alex takes 15 min to travel 18km
=> 1 hour amd 45 min to travel 18 * 7 = 126km.
Hence Roy travel 126km * (5/4) = 157.50km.
which of the values satisfy the following inequality
|x-7.5| ≤ 17
select all that apply.
a. x = 27
b. x = -9
c. x = -10
d. x = 20
Answer:
So first look at the symbol. It must be less than or equal to 17.
By elimination A is 20.5 which is wrong
B is -16.5 by abs =16.5
C is -17.5 by abs = 17.5
D is 12.5
So B and D are possible solutions..
The ratio of apples to oranges in the fruit bowl is 1: 9 in the small bowl. If the extra large bowl has 40 fruit in total. How many are oranges?
12.3 + 17.8 - ( 3.3 x 2 )
Answer:
23.5
Step-by-step explanation:
12.3 + 17.8 - ( 3.3 x 2 )
12.3 + 17.8 - ( 6.6 )
30.1 - 6.6
23.5
The radius of a cylindrical tank is 3’ and the height is 8’. What is the volume
Answer:
Given :-Radius of tank = 3 m Height of tank = 8 m To Find :-It's volume
Formula :-Volume = πr²h
Solution :-[tex] \tt \: volume = \dfrac{22}{7} \times 3 {}^{2} \times 8[/tex]
[tex] \tt volume \: = \frac{22}{7} \times 9 \times 8[/tex]
[tex] \tt \: volume = \dfrac{22}{7} \times 72[/tex]
[tex] \tt \: volume \approx \: 226.194[/tex]
Answer:
given. require. solution
r=3. v=? v=πr²h
h=8. v=3.14×3²×8
3.14×9×8
=226.08
What were some estimation strategies you used to keep yourself within the budget?
I'm not quite 'out there in the real world' but whenever I'm limited on money and whatnot, instead of trying to go ahead and add it all up by the exact price I'll round it up to the nearest dollar. Sometimes I'll even round it up two dollars. If it's something like '$25.98', I'll figure $27.00. That always helps me not spend as much.
Making a list and strictly following the list helps as well. I wouldn't try to spend money on things unessential, or things that you really don't have the money for.