[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = \frac{5}{6} \times \frac{6}{7} [/tex][tex] = \frac{5 \times 6}{6 \times 7} [/tex][tex] = \frac{30}{42} [/tex][tex] = \frac{30 \div 6}{42 \div 6} [/tex][tex] = \frac{5}{7} [/tex]#IfWrongPleaseReport
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Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
a. There food preferences among vole species are independent of one another.
b. There is a relationship between voles and food preference.
c. To test for independence, we need to calculate the Chi-square statistic.
These are the data that Dr. Pagels collected
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
Answer:
The food preferences among vole species are independent of one another.
Step-by-step explanation:
The hypothesis can be defined as follows:
H₀: The food preferences among vole species are independent of one another.
Hₐ: There is a relationship between voles and food preference.
The data provided is:
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
A Chi-square test for the Goodness of fit will be used.
The expected values are computed using the formula:
[tex]E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}[/tex]
Consider the Excel sheet attached.
The Chi-square statistic value is 2.861.
Compute the degrees of freedom as follows:
df = (r - 1)(c - 1)
= (2 - 1)(2 - 1)
= 1
Compute the p-value as follows:
[tex]p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091[/tex]
The p-value = 0.091 > α = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that the food preferences among vole species are independent of one another.
The slope of AB is 6/5 if point A is (3,y) and point B is (-2,-1) find the value of y
Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u
Answer:
[tex]\frac{5}{3}[/tex] is the slope of the line
Step-by-step explanation:
When two lines are perpendicular, their slopes are inverse.
[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).
Hope this helps!
Write an equation in point-slope form for the line that is parallel to y = 3/4x -
3 and passes through point (4,3).
Answer:
The point-slope form of the equation of the parallel line is y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe point-slope form is of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the coordinates of a point lies on the line∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3
→ Compare it with the first form of the equation above
∴ m = [tex]\frac{3}{4}[/tex]
∴ The slope of it is [tex]\frac{3}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]\frac{3}{4}[/tex]
∵ The point-slope form is y - y1 = m(x - x1)
→ Substitute the value of the slope in the form of the equation above
∴ y - y1 = [tex]\frac{3}{4}[/tex] (x - x1)
∵ The line passes through the point (4, 3)
∴ x1 = 4 and y1 = 3
→ Substitute them in the equation above
∴ y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
∴ The point-slope form of the equation of the parallel line is
y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.
Answer:
90 minutes
Step-by-step explanation:
Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.
A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is less than 10.
Sherry is paid an annual salary of $26,000 biweekly. Her friend Donna makes the same salary but is paid quarterly. How much more money does one of Donna's checks have than Sherry's.
Answer:
5000
Step-by-step explanation:
Assuming they both work 365days
roughly 52 weeks
number of time sherry is paid per year = [tex]\frac{52}{2} = 26[/tex]
because she is paid every two weeks
number of time donna is paid per year = [tex]4[/tex]
because she is paid 4 times a year (quarterly)
let s = amount sherry is paid biweekly
let d = amount donna is paid quarterly
[tex]s = \frac{26000}{26} = 1000\\\\d = \frac{26000}{4} = 6500\\\\difference = 65000 - 1000 = 5000\\[/tex]
Answer:
5500
Step-by-step explanation:
what is the value of the Expression below
Your answer is -2 (aka option b that would be)
pls help meeeeeeeeeeee!!
Answer:
45 with a remainder of 27.
Step-by-step explanation:
Hope this helps you! Good luck! <3
Please help with question plaaseeee
Answer:
Yes it is.Step-by-step explanation:
The graph is proportional because
it is in a straight line in the graph.
Hope this helps! <3
help please will mark brainliest
Answer:
step 2
Step-by-step explanation:
sorry if im wrong. Please mark me brainleast
In order to test for the significance of a regression model involving 5 independent variables and 123 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are
Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
Step-by-step explanation:
We know that , for critical value of F, degrees of freedom for numerator = k-1
and for denominator = n-k, where n= Total observations and k = number of independent variables.
Here, Numbers of independent variables(k) = 5
Total observations (n)= 123
So, Degrees of freedom for numerator = 5-1=4
Degrees of freedom for denominator =123-5= 118
Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .
PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest
Answer:
(x)^2+(5)^2=(9)^2
Step-by-step explanation:
(a)^2+(b)^2=(c)^2
(x)^2+(5)^2=(9)^2
x^2+25=81
-25 -25
x^2=56
x=28
p.s. this ^2 means squared
find a function r(t) that describess the curve where the following surfaces intersect. answere are not unique x^2 y^2
Complete Question
find a vector function that represents the curve of intersection of the two surfaces. The cylinder [tex]x^2+y^2= 36[/tex] an the surface [tex]z=xy[/tex]
Answer:
The function is [tex]r(t) = 6cos(t) \ i + 6sin (t) \ j + 36costsint \ k[/tex]
Step-by-step explanation:
From the question we are told that
The equation of the cylinder is [tex]x^2+y^2= 36[/tex]
The equation of the surface is z = xy
Generally the general form of this function is
[tex]r(t) = x(t)i + y(t)j + z(t) k[/tex]
Generally to confirm the RHS and the LHS of the equation for the cylinder
Let take x (t) = 6cos(t)
and y(t) = 6sin (t)
So
[tex]x^2 + y^2 = [ 6cos(t)]^2 + [6 sin (t)]^2[/tex]
=> [tex]x^2 + y^2 = 6^2 cos^2t + 6^2 sin ^2t[/tex]
=> [tex]x^2 + y^2 = 6^2 [cos^2t + sin ^2t] [/tex]
Generally [tex]cos^2t + sin ^2t = 1[/tex]
So
[tex]x^2 + y^2 = 36[/tex]
So at x (t) = 6cos(t) and y(t) = 6sin (t) the RHS is equal to LHS
So
[tex]z(t) = x(t) * y(t)[/tex]
[tex]z(t) = (6 cos(t)) * (6 sin(t))[/tex]
=> [tex]z(t) =36costsint[/tex]
So the function is
[tex]r(t) = 6cos(t) i + 6sin (t) j + 36costsint k[/tex]
1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?
Answer:
$609.50
Step-by-step explanation:
A = P(1 + r/n)^nt
= 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)
= 500(1.02)¹⁰
= 500(1.218994)
= 609.497
Round answer up to $609.50
**100** The given data represent the total compensation for 10 randomly selected CEOs and their company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made $15 million? What would be the predicted stock return for a company whose CEO made $25 million?
Answer:
Your answer is: Look Below
Step-by-step explanation:
Hope this helped : )
Explain how to use the distributive property to find an expression that is equivalent to 20+16.
Step-by-step explanation:
distributive property is a*(b+c) = a*b + a*c
20+16 = 4* (5+4)
The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5
120
60
20
180
pls help i have 2 minutes find length
Answer:
2.4 cm
Step-by-step explanation:
i hope that I helped you.
Match each equation with its solution equation n-13=-12
Answer:
n=1, :) :P UwU TwT -_-
Answer:
n = 1
Step-by-step explanation:
n-13=-12
n-13-(-12)=0
n-1=0
n=1
3х3 - 2х2
Simplify if not possible write simplified
Answer:
[tex] \large{3 \times 3 - 2 \times 2}[/tex]
[tex] \large{9 - 4}[/tex]
[tex] \large{5}[/tex]
Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle
Answer:
plot those points on a graph and then label the points with the correct letter and then connect the dots and you should have a triangle on your graph.
Step-by-step explanation:
Step-by-step explanation:
First plot the points on a graph and then connect those points forming a triangle
which represents 8(95) using the distributive property to simplify
Answer:
8*90 + 8*9 = 760
Step-by-step explanation:
Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.
Convert 6 feet to meters.
Conversion table:
1 meter = 3.281 feet
Answer:
6 feet = 1.8288 meters
Step-by-step explanation:
Hope this helps and have a phenominal day!
Write two numbers that when rounded to the greatest place value have an estimated sum of 11,000 and an estimated difference of 3,000. Then find the exact sum and the exact difference. Provide a detailed explanation as to how you reached your answers and why they will work.
Answer:
x + y = 10,999.5 (rounded up to 11000)
x - y = 3,000.3 (this would be rounded down to 3000)
Step-by-step explanation:
Assume;
Two numbers are x, y
So,
x + y = 11,000 .......eq1
x - y = 3,000 .........eq2
eq1 + eq2
So,
2x =14,000
x = 7,000
So y = 4,000
For rounding number
x = 6,999.9 (rounded up to 7,000)
y = 3,999.6 (rounded up to 4,000)
Sum;
x + y = 10999.5 (rounded up to 11000)
x - y = 3000.3 (this would be rounded down to 3000)
Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?
9514 1404 393
Answer:
62.6 seconds
Step-by-step explanation:
We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
__
For Bill's balloon, the two given points are ...
(t, h) = (-5, 1032) and (5, 985)
Then the equation is ...
h = (985 -1032)/(5 -(-5))(t -(-5)) +1032
h = -47/10(t +5) +1032
__
For Jerry's balloon, the two given points are ...
(t, h) = (0, 0) and (5, 57)
Then the equation is ...
h = (57-0)/(5-0)(t -0) +0
h = (57/5)t
__
The heights are equal when ...
-47/10(t +5) +1032 = (57/5)t
1008.5 = t(57/5 +47/10) = 16.1t
Then the time until heights are the same is ...
t = 1008.5/16.1 ≈ 62.6 . . . seconds
Helppp me plssss! ASAP
Answer:
140 ft.
Step-by-step explanation:
first find the area of the rectangle
16 x 8 = 128
Area: 128
then find the area of the triangle
Base: 4
Height: 6
Area: 12
Then all u need to do is add
12 + 128 = 140
Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.
Answer:
18 weeks
Step-by-step explanation:im gay
The cost of making a phone is $152. A store sells the phone for $281.20 select all the the expressions that could be used to find the percentage of markup for the ohone
Answer:
[tex]\frac{100 * (281.20 - 152)}{152}[/tex][tex](\frac{281.20}{152}-1 ) * 100[/tex]Step-by-step explanation:
The above two expressions can be used to find the percentage of mark-up for the phone.
The first expression for instance will give;
[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]
= 85%
The second expression will give;
[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]
= 85%
Both of them will show that an 85% mark-up has been added to the cost of the phone.
Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place
Answer:
Austin is correct.
Step-by-step explanation:
19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.
Answer:
Neither are correct.
Step-by-step explanation:
8.21:
Tens Place - 0
Ones Place - 8
Tenths Place - 2
Hundredths Place - 1
19.5:
Tens Place - 1
Ones Place - 9
Tenths Place - 5
Hundredths Place - 0
None of the places are in common, so neither Jeffery nor Austin is correct.