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:
Throughout the clarification category elsewhere here, the definition of the concern is mentioned.
Step-by-step explanation:
Null hypothesisThere seems to be no option for consuming peanut butter oatmeal mixture including apple slices with Meadow voles as well as regular voles.
Alternative hypothesisMeadow voles tend to consume a combination of peanut butter oatmeal whereas different or specific votes prefer eating slices of apples.
Estimate the square root of the imperfect square of 18.
Answer:
18 times four is 72
Step-by-step explanation:
What's the GCF of 32a, and 48b
Numbers with zeros
A cleaning service orders 7 large bottles and 5 small bottles of a cleaning product.
Each large bottle has 122 ounces. Each small bottle has 68 ounces.
Which is the best estimate of the total amount of cleaning product the cleaning service orders?
A 800 ounces
w
B. 1.200 ounces
C. 1,600 ounces
o
D. 2.000 ounces
How do you do this question?
Answer:
C, A, D, B
Step-by-step explanation:
(a) We need to compare the sum of this series to 3/4 and 31/36. So we just need to find the sum within 1/36.
1 / (n + 1 + 1)² ≤ 1/36
(n + 2)² ≥ 36
n + 2 ≥ 6
n ≥ 4
So we just need to find the partial sum of the terms from n=0 to n=4.
1 − 1/4 + 1/9 − 1/16 + 1/25 ≈ 0.839
We can use this to approximate the actual sum within 1/64.
(b) 1 − 1/7 + 1/49 − 1/343 + ...
We can rearrange this as the difference between two geometric series:
(1 + 1/49 + 1/2401 + ...) − (1/7 + 1/343 + 1/16807)
∑₀°° (1/49)ⁿ − ∑₀°° 1/7 (1/49)ⁿ
1 / (1 − 1/49) − (1/7) / (1 − 1/49)
(6/7) / (48/49)
7/8
So from smallest to largest, the answer is C, A, D, B.
A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?
Answer:
290 ft is the perimeter
Step-by-step explanation:
170+120=290 ft
580 feet.
To find perimeter, you have to add up all the sides, so add length, length, width, and width.
170+ 170+120+120
This gives you 580 ft.
Don't forget the unit!
If this helped, please mark branliest
16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?
Answer:
Antoine bikes for 16B miles before starting his walk.
Step-by-step explanation:
16 is that speed which is covered in B hours by bike by Antoine
What is speed?Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Speed = [tex]\frac{distance}{time}[/tex]
Given,
16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk
Antoine travels partially by bike and partially by walk, and total covered 22
That means 16B is the distance covered by bike, and 16 is its speed.
Hence, 16 is that speed which is covered in B hours by bike.
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There are approximately 330,000,000 cubic miles of water on Earth. A cubic mile is approximately 147,200,000,000 cubic feet. How much water is on Earth? Estimate using scientific notation
Answer: 4.8576 × 10^19 cubic feet of water.
Step-by-step explanation:
330m * 147.2b = 48 quintillion feet.
Answer:
5 x 10^19 ft^3
Step-by-step explanation:
Factorise 6x squares minus 14x
Help pls it’s urgent
Answer:
d. -2
Step-by-step explanation:
they're telling you those lines are parallel there are specific knowns about the angles
since it's urgent I won't go into it, but PLS look it up it's super simple and makes sense
nonetheless this means angle 1 and angle 5 are the same value so we can set them equal
3x + 24 = 7x + 32
substract 32 from both sides
3x - 8 = 7x
substract 3x from both sides
-8 = 4x
divide 4 from both sides
-2 = x
400 reduced by twice my age is 68 how old am i
hope it helps.........
The cost of a taxi ride is represented by the function c(m)=2m +4, where m is the number of miles traveled. Use the graphing tool to graph the function
Answer:
So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.
So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.
Hope you understood if you didn't drop a comment and I will try to reply.
Just one more question I need this in a step by step please
Answer:
2x+20+3x+40=90
5x+60=90
5x=30
x = 6
2x+20 = 2(6)+20
12+20
=32
3x+40 = 3(6)+40
18+40
=58
Answer:
Here we can first find the value of x simply by using the concept of corresponding angles.
As we know that angle with measurement 2x+20Degree and the right angle below are corresponding as we can consider the line (underlined in red) as a transversal intersecting lines underlined in green. {PLEASE SEE THE ATTACHMENT TO SEE THE HIGHLIGHTED LINES}
So, we get 2x+20 degree = 90 degree.
= 2x+20=90
= 2x=90-20
= 2x=70
= x= 70/2
= x=35 degree.
Now as we know the value of x we can find the other unknown angle by substituting it in the equation for the other angle.
Therefore, 3x+40degree= 3*35+40
105+40
= 145 degrees.
Ivan has 32 baseballs and 48 basketballs. If he wants to divide them into identical groups without any balls left over, what is the greatest number of groups Ivan can make
Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.
Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:
48 = dividend
32 = divisor
Step 1:
Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:
3 2 ⟌ 4 8
Step 2:
The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
3 2 ⟌ 4 8
Step 3:
Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.
0
3 2 ⟌ 4 8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
3 2 ⟌ 4 8
- 0
4
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
3 2 ⟌ 4 8
- 0
4 8
Step 6:
The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:
0 1
3 2 ⟌ 4 8
- 0
4 8
Step 7:
Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:
0 1
3 2 ⟌ 4 8
- 0
4 8
3 2
Step 8:
Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.
0 1
3 2 ⟌ 4 8
- 0
4 8
- 3 2
1 6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 48 divided by 32 calculated using Long Division is:
1
16 Remainder
Two divers are swimming at different depths below sea level. One diver is at -25.5 ft. The other diver is at -40.75 ft. How far are the divers from each other?
Answer:
66.25 ft
Step-by-step explanation:
25.5 + 40.75
66.25
They are 66.25 feet away from each other.
Please let me know if I'm wrong!
Which expression is equivalent to |-5| + |-3|
Answer:
5+3
Step-by-step explanation:
5+3
Answer:
5+3=8
Step-by-step explanation:
Never Going To Give You Up never going to let you down never gonna run around baby nor desert you Rick roll..
Answer:
we're no strangers to love
Step-by-step explanation:
you know the rules, and so do I
4 tens + 14 ones = 5 tens + ___ ones
Answer:
4 becuase 40+14 = 54 so 50+4= 54 too
Step-by-step explanation:
HOPE THIS HELPS :)The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card? Select all that apply. A. $2.86 B. $47.86 C. $45.00 D. $47.70 E. $35.29 F. $48.25
Answer:
B C A
Step-by-step explanation:
How many solutions does the equation have?
3(d+11) = 6(d +33)
O 0
O 1
O infinitely many
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.
__
Dividing by 3 gives ...
d +11 = 2(d +33)
d + 11 = 2d + 66
Adding -d-66 to both sides gives ...
-55 = d . . . . . . the one solution
Answer:
The answer is B
Step-by-step explanation:
i took the test and 1 was correct so.
how many inches of lumber are remaining?
Answer:
I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.
Step-by-step explanation: How we would solve this problem is simple.
6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).
A sofa regularly sells for $460. The sale price is $349.60. Find the percent decrease of the sale price from the regular price.
Step-by-step explanation:
[tex](460 - 349.60) \div 460 \times 100 = 24[/tex]
Silvi has a coupon for $5 off any one item at her favorite store. She must pay 6% sales tax on the discounted price. Which of the following functions represents Silvi's final cost, c, for an item with an original price of x dollars?
Answer:
vz
Step-by-step explanation:
The requried function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let's break down the problem into steps to determine the function that represents Silvi's final cost:
Apply the $5 discount to the original price x:
New price = x - 5
Calculate the amount of sales tax on the discounted price:
Sales tax = 0.06 * (x - 5)
Add the sales tax to the discounted price to get the final cost:
Final cost = (x - 5) + 0.06 * (x - 5)
Simplifying this expression, we get:
Final cost = 1.06x - 5.3
Therefore, the function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
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I need help on math
A die is rolled thrice. What is the probability that the sum of
the rolls
rolls is atleast 5
Answer:
1 out of 6
Step-by-step explanation:
no matter how many times you roll it the chances will always be the same
Answer:
there is a 1/6 chance
Step-by-step explanation:
there are 216 total combinations but only 36 combinations that end in 5.
36/216 = 1/6.
Hope this helps!
I need help with this and can you explain how to do this?
3(2y + 3) + y
Answer: 7y + 9
Step-by-step explanation: First you will distribute 3(2y + 3). This means we will multiply 3 to the numbers in the parenthesis. 3 x 2y = 6y and 3 x 3 = 9. This is 6y + 9.
Now we have the y left over so combine like terms 6y + y and that is 7y.
Answer:
7y + 9.
Step-by-step explanation:
1. Expand by distributing terms.
3(2y + 3) + y
2. Collect like terms.
(6y + y) + 9.
3. Simplify.
7y + 9.
Hope this helps.
Have a good night ma´am/sir.
Be safe!
Solve the problem by entering and solving an equation.
A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches. What is the width of the frame?
Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.
To Find : The width of the frame .
Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;
[tex]\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}[/tex]
Where , l is the length of the rectangle and b is the breadth of the rectangle .
⇒ Perimeter = 2 ( l + b ) .
⇒ 52 in. = 2 ( 12 + x ) in.
⇒ 52 in.= 24in. + 2x .
⇒ 2x =( 52 - 24 ) in
⇒ 2x = 28 in.
⇒ x = 28/2 in.
⇒ x = 14 in.
Hence the width of the rectangle is 14 inches.
Each batch makes 24 cookies. You make x batches of cookies, but eat 5 cookies as you are baking. Write an expression for the number of cookies that you have.
Answer:
24x-5
Step-by-step explanation:
x= number of batches
24x -5
64 mi/h to ft/s HELP HELP HELP HELP NOW!!!! WILL PUT 5 STARS AND MARK BRAINLIEST!!!
Answer:
Multiply 64 x 5280
Step-by-step explanation:
You will get your answerhelloAnswer:
64 mi/h = 93.9 ft/s I have the answer guide
Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation: