(a) the probability that a vampire bat would pick A (b) the probability that a vampire bat would pick C (c) the probability that a vampire bat would pick T

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have that:

[tex]A = 71[/tex]

[tex]C = 121[/tex]

[tex]T = 66[/tex]

First, we calculate the total

[tex]Total = A + C + T[/tex]

[tex]Total = 71 + 121 + 66[/tex]

[tex]Total = 258[/tex]

Solving (a): Probability of A

This is calculated using:

[tex]Probability = \frac{A}{Total}[/tex]

[tex]Probability = \frac{71}{258}[/tex]

[tex]Probability = 0.275[/tex]

Solving (b): Probability of C

This is calculated using:

[tex]Probability = \frac{C}{Total}[/tex]

[tex]Probability = \frac{121}{258}[/tex]

[tex]Probability = 0.469[/tex]

Solving (b): Probability of T

This is calculated using:

[tex]Probability = \frac{T}{Total}[/tex]

[tex]Probability = \frac{66}{258}[/tex]

[tex]Probability = 0.256[/tex]

(a) The Probability That A Vampire Bat Would Pick A (b) The Probability That A Vampire Bat Would Pick

Related Questions

Determine if the two triangles are congruent.

Answers

Answer:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

A rectangle has a perimeter of 104 feet. If the
width of the rectangle is one more than twice its
length, determine the dimensions of the
rectangle.

Answers

Answer:

w=35, L = 17

Step-by-step explanation:

the perimeter is all sides added together to total 104. so,

2L + 2W= 104

the width is one more than twice it's length, so W = 2L + 1

plug that into first equation.

2L + 2(2L+1)=104

distribute:. 2L + 4L + 2= 104 and continue to solve for L

6L + 2= 104 subtract 2 from both sides.

6L = 102, divide both sides by 6

L = 17. so the length is 17 ft. now use that number to put it in our equation for width, W= 2L + 1

W= 2(17)+1

W = 35

Giving brainiest explain answer

Answers

Answer:

B.) Carrier B

Step-by-step explanation:

The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.

Might be a bit confusing, but hope it helps.

I WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Suppose Triangle MNO has vertices M(-7,3), N(9,8), and 0(2,16). After a dilation centered at the origin, the coordinates of Triangle M'N'O are M'(-10.5, 4.5), N' (13.5, 12), and O' (3,24). Complete the following algebraic description so that it represents the transportation of Triangle MNO, (2, y) + (x, y) The scale factor is​

Answers

Answer:

The answer is 1.5

Step-by-step explanation:

Answer:

The scale factor is = 1.5

Step-by-step explanation:

Trust me bro

Apply the distributive property to create an equivalent expression. (4b + 2e + 3) 3 = ​

Answers

Answer:

12b+6e+9

Step-by-step explanation:

You multiply 3 with every number inside the parentheses.

(3x4b)=12b

(3x2e)=6e

(3x3)=9

3-for-1 split. After the split, the price of one share was $39.24. What was the pre-split price per share?

Answers

Answer:   $117.72

======================================================

Explanation:

Let's say that the company is valued at $300 just as a simple example.

Also, let's say there are 100 shares each worth $3, so we have 100*3 = 300 as the total value of the company.

A 3-for-1 split means that for each share, it will get turned into 3 shares. So you turn in 1 share and in return you get 3 shares back. Or put another way, each share is ripped/cut into 3 equal pieces.

After doing this split, we would have 3*100 = 300 shares and each share would be now worth (1/3)*3 = 1 dollar. Note the new number of shares multiplied with the new value per share is still the same total valuation of $300. Doing a stock split, or a reverse stock split, will not change the value of the company. This is a good thing or else companies would simply do (reverse) splits all the time to increase their value however large they wanted without actually contributing anything to society.

------------------------

So quite simply, when we do a 3-for-1 split, we multiply the old price per share by 1/3 to get the new price per share.

Let

x = old price per share

y = new price per share

So x happens before the split and y is after the split.

For a 3-to-1 split, we can form this equation

y = (1/3)x

which solves to

x = 3y

when we multiply both sides by 3

We know that y = 39.24, which means,

x = 3y

x = 3*39.24

x = 117.72

The pre-split price per share was $117.72

------------------------

So in short, all we did was multiply the given number (39.24) by 3.

What is the slope??? PLEASE HELP!!!

Answers

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Which sets of values belongs to the domain and range of a relation

Answers

full answer:

As we know that

The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.

The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.

As

The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.  

The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.

So, in the set of ordered pairs of a relation

Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to
walk toward you at the bus stop and then passes you. He walks at a speed of
4 ft/s. His distance d from you after t seconds is given by d = 1120 - 4tl. After
how many seconds is your neighbor 30 ft from you?

Answers

Answer:

22.5 seconds and 37.5 seconds  

I hope this is helpful!

Plz help with these 2 questions plz it depends on my grade
for the penny one i need the equation for one of the answers

Answers

Answer:

Yes

Step-by-step explanation:

2 pennies and 3 dimes = 60 cents

I penny = 1 cent

1 dime = 10 cents

Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on exam

Answers

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

[tex]\frac{27}{x}= \frac{90}{100}[/tex]

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

Answer:

There are 30 total questions on the exam

Explanation:

90% = 0.9

0.9 x TOTAL = 27

27/ 0.9 = TOTAL

30 = TOTAL

Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.

Answers

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

[tex]Initial\ Fee = \$57[/tex]

[tex]Additional = \$0.08[/tex] per mile

Plan 2:

[tex]Initial\ Fee = \$50[/tex]

[tex]Additional = \$0.10[/tex] per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

[tex]y = 57 + 0.08 * x[/tex]

Plan 2:

[tex]y = 50 + 0.10 * x[/tex]

To solve (a), we equate both plans together; i.e.

[tex]y = y[/tex]

[tex]57 + 0.08x = 50 + 0.10x[/tex]

Collect Like Terms

[tex]0.08x - 0.10x= 50 - 57[/tex]

[tex]-0.02x= -2[/tex]

Solve for x

[tex]x = -2/-0.02[/tex]

[tex]x = 100[/tex]

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

[tex]y = 57 + 0.08 * x[/tex]

[tex]y = 57 + 0.08 * 100[/tex]

[tex]y = 57 + 8[/tex]

[tex]y = 65[/tex]

Hence, the amount is $65

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer:

$220.875

Step-by-step explanation:

For 1 hour you get $7.75

To find how much money you make in 28.5 hours... you multiply the number of hours with the number of dollars.

28.5 * 7.75

$220.875

The Answer is $220.88

Simplify:



8.7 + 3.2(2p – q) + 2.55 p

Answers

Answer:

8.95p-3.2q+8.7

Step-by-step explanation:

Answer:

8.95,    3.2,     8.7

Step-by-step explanation:

Please help me ASAP
:D

Answers

Answer: I think it 616lbs not 100% sure

Step-by-step explanation:

10^2 = 100 + 64 sweet potatoes = 164

10^1 = 10+80 tangerines= 90

10^3= 300 + 62 spaghetti squash = 362

The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)

Please, help I am really confused!

Answers

Answer:

2.57575758

Explanation:

42.5 / 16.5

HELP ASAP!! WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)

Answers

Answer:

[tex]m=-3[/tex]

The slope is negative.

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 19)

Point (-1, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify:                        [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add:               [tex]m=\frac{-12}{4}[/tex]Divide:                          [tex]m=-3[/tex]

Evaluate the following expression. Type your answer as a number.

8 + 23 - (4 × 3) =
the 23 is a exponet jus to let you know

Answers

its 2

Hope this helps! <3

Why would a deferred annuity or annuities due be preferred as a retirement investment?

Answers

I believe the answer is: The tax deferred nature.

Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.

1. Which of the following is the equation of a line that has a slope 5 and passes through the point
(3,- 7)?

Answers

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

point (3,-7)

m = 5

Solution

y - y1 = m(x - x1)

y - (-7) = 5(x - 3)

y + 7 = 5x - 15

y = 5x - 15-7

y = 5x-22

Answer

The equation in point-slope form that passes through the point (3,-7)and has a slope of 5 is line Y=5x-22

Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)

Answers

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

Rewrite this sentence using BOTH a DOP and an IOP.



Voy a dar una naranja a Juan.

Answers

Answer:

Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar

Step-by-step explanation:

first to answer correctly gets brainleist! I need ya to find the slope for me!

Answers

Answer:

m=-1

Step-by-step explanation:

The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:

m=(y2-y1)/(x2-x1)

m=(3-(-1))/(0-4)

m=4/-4

m=-1

Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.

Answers

Answer: D
Step-by-step explanation:
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2. So 1/2 of 60 is 30

Answer:D

Step-by-step explanation:

What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }

Answers

Answer:

{ 4i, - 4i }

Step-by-step explanation:

Given

3x² + 48 = 0 ( subtract 48 from both sides )

3x² = - 48 ( divide both sides by 3 )

x² = - 16 ( take the square root of both sides )

x = ± [tex]\sqrt{-16}[/tex] = ± 4i

solution set is { - 4i, 4i }

Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?

Answers

Answer:

Step-by-step explanation:

Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.

In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:

P = 4s = 4(10.8) = 43.2 feet

Therefore, Rob needs 43.2 feet of border to place around the ceiling.

Since he has purchased 50 feet of border, he will have:

50 - 43.2 = 6.8 feet

Rob will have 6.8 feet of border left after placing it around the ceiling.

To learn more about distance from the given link:

https://brainly.com/question/30923151

#SPJ1

Steven is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 11.2 ounces of almonds, and 14.3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

1.94 ounces are in each bag.

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

23 ounces of walnuts + 11.2 ounces of almonds + 14.3 ounces of cashews = 48.5 ounces.

From the question we are told that these amounts make 25 bags.

The number of ounces that are in each bag is calculated as:

25 bags = 48.5 ounces

1 bag = x ounces

Cross Multiply

25 bags × x ounces = 1 bag × 48.5 ounces

x ounces = 1 bag × 48.5 ounces/25 bags

x ounces = 1.94 ounces

Therefore, there are 1.94 ounces in each bag

3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *

A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units

Answers

Answer:

C

Step-by-step explanation:

To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!        

Solve for p.
i = prt

p = i-rt
p = (rt)/i
p = i/(rt)

Answers

Answer:

[tex] \sf p = \dfrac{i}{rt} [/tex]

Step-by-step explanation:

Solve for p:

[tex] \longrightarrow [/tex] i = prt

i = prt is equivalent to prt = i:

[tex] \longrightarrow [/tex] prt = i

Divide both sides by rt:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{prt}{rt} = \dfrac{i}{rt} [/tex]

[tex] \sf \dfrac{prt}{rt} = p: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf p = \dfrac{i}{rt} [/tex]

PLEASE HELP!!!!!!!!!!!!!!!!! Write the equation of the line perpendicular to y=3/4x+9/4 that passes through the point (-5, 2)

Answers

Answer:

y = -4/3x - 6

Step-by-step explanation:

1. Find the slope. Since we know that a line perpendicular to another is it's opposite reciprocal, or the product of the two is equal to -1, we can find the slope. -4/3 times 3/4 is -1, so -4/3 would be the slope of this line.

2. Plug in the point and slope into the slope-point equation. The equation would be y - 2 = -4/3 * (x + 6).

3. Simplify. The simplified equation would be y = -4/3x - 6.

Answer: y = -4/3x - 6

Other Questions
Please help, for AP Human Geography, I only have an hour left. :/The excerpt is the English translation of a Vietnamese folk song. While seedlings for the summer crop are not old when they are three months of age, Seedlings for the winter crop are certainly not young when they are one-and-a-half months old. Which statement best describes this folk song? a. It likely originated anonymously and was used to orally convey information about agricultural technology.b. It was likely written by a musician and sold to farmers who wanted information about agricultural technology. c. It likely originated anonymously and spread to other cultures where agriculture was important. d. It likely was written by a farmer and sold to the public for use in special music festivals. e. It likely began as a tribal story and spread to other cultures looking for agricultural technology tips. which of the following is a central teaching of Islam?A. There is one God and Muhammad was his only prophet.B. Muslims, Jews, and Christians all worship different gods.C. Abraham, Jesus, and Muhammad were all prophets of the same god.D. There is one god, but he can be worshiped in many forms. Find the 39th term of the following sequence. 17,11, 5, -1 Which expression is equivalent to 4x+6y-8x Just like Coke is a type of soda, __________ is a type of ___________.A.concentration,.equilibriumB..equilibrium, concentrationC.diffusion, osmosisD.osmosis. diffusion Determine an expression for dydx given that x = sin3(t)andy = cos3(t) PLEASE HELP PLEASE I NEED IT TODAY A natural resource that is replaceable through a cycle in nature or sustainable practice is called a ______________. What is Liesl's viewpoint in "A Letter from the Atlantic"?She feels irritated because she doesn't want to be around her family or the other emigrants on the ship.She feels terrified because she doesn't know what to expect on Ellis Island and knows it won't be like Hamburg.She feels thrilled because she wants to leave Hamburg and wishes she could shorten the duration of the voyage.She feels conflicted because she's excited about what awaits her but homesick for the life in Germany she left behind. Unscramble the words to make a meaningful sentence in passive form Afternoon/ will / the / history / to / museum/ us /the / in /shown / natural/ be What dances is Bebe Miller known for and what are the meanings of the dance True or FalseThe election of 1850 was the election that broke the camel's back.TrueO False Can i get some help please what happened after Great Britain gained control over Michigan territory in 1763 Bernard says When you halve a whole number that ends in 8, you alwaysget a number that ends in 4Write down an example to show that Bernard is wrong.is this a trick question? Write the equation of a line parallel to the line y=2x Determine the volume (mL) of 15.0 M sulfuric acid needed to react with 45.0 g ofaluminum to produce aluminum sulfate. Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.A:Find the amount in the account at the end of 1 year.B: Find the amount in the account at the end of 2 years. 1. Determine the intervals on which each function is increasing ordecreasing(a) f(x) = x^3 - 11/2x^2 - 4x Name three examples of the Christian Church that developed from the reformation?