Mathematics College

Suppose you have a bag with 25 letter tiles in it and 7 of the tiles are the letter V. If you pick a letter tile at random from the bag, the probability that it is the letter V is 7/25
. Suppose another bag has 500 letter tiles in it and 250 of the tiles are the letter V. Write the probability of picking a tile that is the letter V as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter V?

Answers

Answer 1

|S|=500|E|=250

[tex]\\ \rm\hookrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]

[tex]\\ \rm\hookrightarrow P(E)=250/500=1/2=0.5[/tex]

7/25=0.3

Second bag is more preferable

Answer 2

Answer:

Bag 1

Probability of picking a V = P(V) = 7/25 = 0.28

Bag 2

Probability of picking a V = P(V) = 250/500 = 1/2 = 0.5

You are more likely to pick a tile that is the letter V from Bag 2 since 0.5 > 0.28

Related Questions

Find the slope and the y-intercept of the line.
3x+5y=−4
Write your answers in simplest form.

Answers

Answer:

slope = -3/5

y intercept = 4/5

Step-by-step explanation:

First, we can rearrange 3x + 5y = 4 into slope intercept form (y = mx + b) to get 5y = -3x + 4. Now we can divide by 5 to make y the subject: y = -3/5x + 4/5. The number in front of x is the slope and the number on its own is the y intercept.

slope = -3/5

y intercept = 4/5

Hope this helps!

Equations in two lines are 6X minus Y equals four and Y equals 4X plus 2Y is the value of X and the solution for the system of equations

Answers

Not sure if I got the equations right but this is how I solved it:
Rearrange 6x-y=4 for y. Then since both equations equal y, you can set them equal to each other. From there solve for the y variable. To solve for x, plug in the new found y variable back into one of the original equations. Hope that helps

Use technology to find the line of best fit for the following data.

You may use your own graphing calculator or this GeoGebra graphing calculator tool.

(1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)

The line is in the form y=mx+b.
What is the value of m?
Enter your answer as a number with two decimal places, like this: 3.14

Answers

The line of best fit model the relationship between variables on a dataset

How to determine the equation?

For the line of best fit, we have the following calculation summary (from a graphing calculator)

Sum of X = 73Sum of Y = 536Mean X = 6.6364Mean Y = 48.7273Sum of squares (SSX) = 136.5455Sum of products (SP) = 1249.9091Slope (b) = 9.15Y-intercept (a) = -12.02

The equation of the line of fit is represented as:

[tex]y = bx + a[/tex]

So, the equation of the line of fit is:

[tex]y = 9.15x - 12.02[/tex]

Read more about line of best fit at:

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Find the value of xx, yy, and zz, in the rhombus below.

Answers

Answer:

Step-by-step explanation:

In the given circle, tangent AB and secant CD intersect at point E as shown. What is the value represented by x? A. 70 B. 220 C. 110 D. 140

Answers

Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

What is the Relationship Between Measure of Inscribed Angle and Intercepted Arc?

The intercepted arc = twice the inscribed angle.

Thus:

Intercepted arc = x

Inscribed angle = m∠CEB = 180 - 110 = 70°

Therefore:

x = 2(70)

x = 140°

Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

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Answer:

Step-by-step explanation:

140 degrees

help pleasee and thank you

Answers

i believe it’s the last one

Answer:

354.20 + 50.60w ≥ 1,099.51

Step-by-step explanation:

A line has a slope of -7 and passes through the point (0, -7). Is it possible to write the equation
of the line without doing any work? Explain why or why not?

Thank you!

Answers

Answer: yes

Step-by-step explanation: they have to be past 0 to start

Answer:

y = -7x -7

explanation:

y - y₁ = m ( x - x₁ )

y - -7 = -7 ( x - 0 )

y + 7 = -7x

y = -7x -7

Or using the formula:

y = mx + b

y = -7x - 7

using this formula, if only passes y-axis, we can find equation without doing any work.

5/8 divided by
2/3 would equil

Answers

In my opinion I would use KCF(Keep Change Flip) so after you do that it comes out to 5/8 times 3/2. When you multiply them you get 15/16. The answer is 15/16.

Which is an x-intercept of the continuous function in the table? (–1, 0) (0, –6) (–6, 0) (0, –1

Answers

Answer:

i think it is (-1,0) and (-6,0)

Step-by-step explanation:

i hope, this helps, if not i'm sorry

Which equation represents the function on the graph?

Answers

Answer is C) cos2x.

If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?

Answers:
202.1
50.3
or 223.5

Answers

Answer:

The answer to your question "If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?

" is 50.3

(100 points!) What are the answers to this question?

Answers

Answer:

Parallelogram

Step-by-step explanation:

Because it the only without any right angle

Parallelogram

2 pairs of opposite angles are equal it can be parallelogram

Quadrilateral

As it has four sides it can be quadrilateral

Rectangle

No angle is of 90° so can't be a rectangle

Rhombus

4sides are congruent so it can be rhombus

Square

it cannot be rectangle hence cannot be a square also

Trapezoid

No opposite sides are parallel hence can't be trapezoid

The distance between Reeta's house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus and the rest on foot. How much distance does she cover by walking?

Answers

Answer:

She covered 0.86 km or 860m by walking.

Step-by-step explanation:

Given:

➮ Distance between Reeta's house and her office is 14km.

She covers 10km 65m by Scooter. Then, 3km 75m by Bus. And rest of distance covered by foot.

To Find:

➮ How much distance covered by foot/walking ?

Solution:

To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.

Sum of distance covered through scooter and bus:-

As, we know:

• 1km = 1000m

⇒ 10km = 10×1000

= 10000m

⇒ 3km = 3×1000

= 3000m

So, 10000m + 65m ➝ 10065m

3000 + 75m ➝ 3075m

➝ 10065m + 3075m

➝ 13140m

• 13140m into km:-

⇒ 13.14km

Now, Finding the distance covered by walking:

➝ 14km - 13.14km

➝ 0.86km

Hence, She covered 0.86km or 860m by walking.

what is equivalent to 5(3y)?

Answers

Answer:

3(5y) or 1(15y)

Step-by-step explanation:

Hopefully this helps you! Have a great night/day!

You paint the wall below your stairs. Find the area you paint. 4m 3 m
P. S. IT'S NOT 12

Answers

Answer:

6 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2 bh

applying that to this problem, we get

1/2 x 3 x 4

after multiplying then all together, you get

A=6 m^2

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?

In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.

Answers

The map is an illustration of parallel lines and a transversal

The measure of angle X is 105The measure of angle Y is 75The measure of angle Z is 105

How to determine the measures of the angles

Angles X and 75 are supplementary angles.

So, we have:

X = 180 - 75

Subtract

X = 105

Angles Y and 75 are corresponding angles.

So, we have:

Y = 75

Angles X and Z are alternate exterior angles.

So, we have:

Z = X

This gives

Z = 105

Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively

Answers

Answer:

yes!

Step-by-step explanation:

fractions are funky but this is a characteristic of this, if you have a fraction let’s say A/B and you divide it by C/D, the denominator of the second fraction will multiply with the numerator of your first, and B and C will multiply too. Think of it as doing like a lil flip

Answer:

true

Step-by-step explanation:

Explain how the models in questions 4 and 5 are the same.

Answers

Models are equations, tables and graphs that are used to represent functions.

How to interpret a model

The question is incomplete as the models are not given, so I will give a general explanation

For two models to be the same, the equations of the model must be the equivalent.

Take for instance, the following models are the same

y = 2x + 4 and y = x + x + 4 and y = 2x + 2 + 2

And the following models are different

y = 2x + 4 and y = 2^x + 4

Answers

Answer:

25.6

Step-by-step explanation:

Since the mean is also average

You

1) Add all your values

-----18+19+21+22+25+27+29+30+31+34

= 256

2) Then, divide [256] by how many points/numbers you have

-----256 / 10

= 25.6

Your average/mean is 25.6

Shop and Save sells bananas for 80¢, apples for 25¢, and mangoes for 60¢. How much money will you spend if you buy 4 bananas, 3 apples, and a mango? (Notice that the prices are in cents and the answer is in dollars.)

Answers

Answer:

$4.55

Step-by-step explanation:

banana: 80¢ = $0.80

apple: 25¢ = $0.25

mango: 60¢ = $0.60

4 bananas, 3 apples, and a mango =

= 4 × $0.80 + 3 × $0.25 + 1 × $0.60

= $4.55

In the triangle shown, P is the centroid.
AP = 16, PD = 7, and CF = 21. Find FP.

Answers

Answer:

C is one angle on Triangle

F point is between A and D

CF line is passes through the point P which is center

then From CP=2PF

CF=2x

PF=x

2x+x=21

3x=21

x=7=PF

x³ + 6x -7= 0 là phương trình

Answers

Answer:

[tex]\huge\boxed{\bf\:x = 1}[/tex]

Step-by-step explanation:

[tex]x ^ { 3 } +6x-7=0[/tex]

By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.

[tex](+/-)7, (+/-)1[/tex]

Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..

[tex]x = 1[/tex]

This means that 1 factor of the above equation will be:

[tex]x = 1\\\Longrightarrow\:x - 1 = 0[/tex]

So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:

[tex]\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0[/tex]

We now have a quadratic equation with us. By using the biquadratic formula: -b ± √b² - 4ac / 2a, where,

a = 1b = 1 c = 7

So,

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}[/tex]

Here, we can see that,

[tex]x\in \emptyset[/tex]

Then, by listing out the solutions that we found, the value of x will be:

[tex]\boxed{\bf\:x = 1}[/tex]

[tex]\rule{150}{2}[/tex]

Answer:(x-1) *(x^2 + x + 7)

Step-by-step explanation:

1. rewrite

2. factor the expression

simplify

-2x - 2y - 2z + 5x - 2y - 4z

Answers

Answer: 3x-4y-6z

Step-by-step explanation:

First collect the like terms and you get:
-2x + 5x - 2y - 2y - 2z - 4z
Add similar elements:
3x - 2y - 2y - 2z - 4z
And you do it again and you get: 3x-4y-2z-4z
then just take away -4z from -2z and you get: 3x-4y-6z

What are the coordinates (x, y) of the hole in the graph of the function f(x)?
f(x) = (x ^ 2 - 4x - 12)/(x + 2)

Answers

Answer:

(6,0)

Step-by-step explanation:

Desmos Graphing Calculator

Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a dilation. What is the scale factor of the dilation?

Answers

Answer:

Scale factor is 1/4

The scale factor is 1/4.

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii.

Given:

As per the figure

C'D' = 3 units

and, CD = 12 units

So, Scale factor = Dimension of the new shape / Dimension of the original shape.

=3/12

=1/4

Hence, the scale factor is 1/4.

Learn more about scale factor here:

https://brainly.com/question/22312172

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compare using > , < , >,<,is greater than, comma, is less than, comma or = =equals. 7 5 × 15 5 7 ×15 start fraction, 7, divided by, 5, end fraction, times, 15, space 15 15space, 15 how do you know your answer is correct? choose 1 answer: choose 1 answer:

Answers

Answer:

7/5 times 15 is greater than 15

Step-by-step explanation:

I divided 7 over 5 and it came out to be 1.4, then I multiplied 1.4 to 15 and got 21.

The music teacher expected 21 students to pass the test , instead 26 passed

Answers

Answer: the students are smarter than she thinks

Step-by-step explanation:

more people passed

Given two similar triangles, what would you need to know
to find an unknown length? How would you find that
unknown length?

Answers

Answer:

There is a pattern with the ratios of corresponding sides. You can see that the measurement of each side of the first triangle divided by two is the measure of the corresponding side of the second triangle. Use patterns like this to problem solve the length of missing sides of similar triangles.

Answer:

I would need to know the length of a pair of corresponding sides, so I could set up a proportion to solve for the unknown length. I would set the ratio of the known corresponding sides equal to the unknown measure, making sure I put corresponding measures from the triangles in the same positions in the ratios. Then I would cross-multiply to solve.

Step-by-step explanation:

Question 2 of 5
Use the area of the rectangle to find the area of the triangle.
2 ft 4
12 ft
A. The area of the triangle is 24 square feet, because the area of the
rectangle is 24 square feet.
B. The area of the triangle is 12 square feet, because the area of the
rectangle is 24 square feet.
C. The area of the triangle is 12 square feet, because the area of the
rectangle is 12 square feet.
D. The area of the triangle is 24 square feet, because the area of the
rectangle is 28 square feet

Answers

Answer:

The correct answer is C:

The area of the triangle is 21 square feet, because the area of the

rectangle is 42 square feet.

Step-by-step explanation:

Tamara is making hot cocoa for a party. Each serving calls for 1/32 pound of sugar. She has 3/4 pound of sugar available. How many servings of hot cocoa can Tamara make?

Answers

Answer: Tamara can make 24 servings of hot cocoa.

Step-by-step explanation:

3/4 ÷ 1/32= 3/4*32 =3*8= 24

Hopefully, that makes sense and helps you out!

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