Franco is evenly dividing 3 and 1/3 pounds of flour into five containers and would like to know how many pounds of flour will be in each container. Franco sets up the following division problem to find his answer 3 and 1/3 divided by 5Convert Franco’s division problem into a product involving two fractions and find out how many pounds of flour each container will hold

in irder to solve this problem

we need to now that the probability to win one coin toss is 0.5

so other thing we need to know is

there all these possible scenarios that will happen

w= win

L=lose

WWW

WWL

WLW

LWW

LLW

LWL

LLW

LLL

as you can see only in 3 scenarios when the cougar win exactly 2

so the correct answer is B

Solution

We want to find the area and perimeter of the shaded figure.

The shape below is a rectangle

Therefore, the area of a rectangle is

while the perimeter of a rectangle is given by

Here, L = 2 unit and B = 3 units

Hence,

Area = 6 square units

Perimeter = 10 units

B

1) In this question, y stands for population, and x stands for year.

2) Since the first year is 2003, then 2020 -2003 = 17. Let's plug into x, this value:

3) Rounding off to the nearest whole number, the population of Iberian lynx will be approximately 3 lynxes.

Step 1. We are given a table with values for Y and their corresponding probability P(Y).

Required: Find the expected value of Y.

Step 2. First, we will label the Y values as Y1, Y2, Y3, Y4 as shown in the diagram:

And we will label the corresponding probabilities as P1, P2, P3, and P4, shown in the following diagram:

Step 3. The formula to calculate the expected value E(Y) is:

Step 4. Substituting the values from step 2 into the formula from step 3:

Solving the operations:

The expected value is 15.5

Answer: 15.5

Answer:

y>= -27/16

Step-by-step explanation:

I just put in the calculator

Answer: 3.375oz

Explanation

Given

• Reduce his daily soda intake by ​25%.

• Currently, he drinks 4.5oz. cans of soda per day.

• Ounces of soda can the patient drink if he reduces his intake by 25​%?

We have to build a relation, where 4.5 is our 100% and x is 75% (100 - 25 = 75%):

Solving for x:

Given the system of the equations:

y = x + 4

x + y = 2

By substitution with y from the first equation at the second equation

so,

x + (x+4) = 2

solve to find x

so,

x + x + 4 = 2

2x = 2 - 4

2x = -2

Divide both sides by 2

x = -2/2 = -1

Substitute at the first equation with x to find y

So, y = -1 + 4 = 3

so, x = -1 and y = 3

so, the order pair which a solution is (-1 , 3)

The  equation of line in point slope form created is

[tex]y - 3 = 1(x - 2)\\[/tex]

What is equation of line in point slope form?

The most general form of equation of line in point slope  form is given by

[tex]y - y_1 = m(x - x_1)[/tex]

Where m is the slope of the line and ([tex]x_1, y_1[/tex]) is the coordinate of the point through which the line passes

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

Here

Let the line passes through ( 2, 3) and (4, 5)

Slope = [tex]\frac{5-3}{4-2}[/tex]

          = [tex]\frac{2}{2}[/tex]

          = [tex]1[/tex]

Equation of line in point slope form

[tex]y - 3 = 1(x - 2)\\[/tex]

This is equation of line in point slope form.

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Diameter of cylinder = 12 inches

radius of cylinder (r) = 1/2 x diameter = 6 inches

Height of cylinder (h) = 1.25 feet

We can convert feet to inches using the relation: 1 foot = 12 inches

So, 1.25 feet = 12 x 1.25 inches

=> 15 inches

The volume of the cylinder is given by:

Upon substituting the values of r and h

Solution:

Given the coordinates of the image;

The coordinates of the new image is;

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

3.75 miles he run at the gym.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.

On days when he doesn't walk, he runs all that distance at the gym.

But  he walks 2 blocks, he cuts of 1/12 a mile off his run.

Today Joshua walked 12 blocks.

As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.

He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.

4.25 - 6(1/12) = 3.75

Therefore, 3.75 miles he run at the gym.

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The slope of equation [tex]y=\frac{3}{2}x+6[/tex] is [tex]m=\frac{3}{2}[/tex].

The equation of line perpendicular to another line in point slope form:

[tex]y-y_1 = -\frac{1}{m}(x-x_1)[/tex]

Substitute [tex]m=\frac{3}{2}[/tex] and the point [tex](-3,4)[/tex] into the above equation form:

[tex]y-4=-\frac{1}{3/2}(x-(-3))\\y-4=-\frac{2}{3}(x+3)\\-----------\times 3\\3y-12=-2(x+3)\\3y-12=-2x-6\\2x+3y-12+6=0\\2x+3y-6=0[/tex]

Hence the equation of the line is [tex]2x+3y-6=0[/tex].

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The inequality in terms that represents all times when the soup is cool enough for Raj to take it out of the freezer is:

170 - 30h ≤ 74

Given, Raj has put a soup intot he freezer to cool down.

The soups temperature started at 170 °F and decreased at a rate of 30 °F per hour.

Let h represent the number of hours the soup stays in the freezer.

Raj wants the soup to cool down so that its temperature, when he takes it out of the freezer, is at most 74 °F.

we are asked to determine  an inequality in terms of that represents all times when the soup is cool enough for Raj to take it out of the freezer.​

⇒ 170 - 30h ≤ 74

⇒ 170 - 74 ≤ 30h

⇒ h ≥ 3.2

Hence we get the required inequality form.

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Relative frequency of students who use online class in percentage =                               62.17%

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.

Here,

Number of students using mobile in traditional class = 46

Total number of students in traditional class = 74

Relative frequency of students who use online class in percentage =                                                                                                                                                                            

                                                                                           [tex]\frac{46}{74} \times 100[/tex]

                                                                                        = 62.17%

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The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

According to the question,

We have the following information:

We have two lines that are intersecting each other at a point. The angles made on this point are given.

Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.

So, we will have the following equation:

3x-1 = 140

Now, we can easily find the value of x from this equation:

Adding 1 on both sides of the equation:

3x = 140+1

3x = 141

Dividing by 3 on both sides:

x = 141/3

x = 47°

Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

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First we need to divide 8600 by 3600 and the remainder divide it by 60, let's see how it goes:

This means that we can write 8600 like this:

With the quotients and the laste residue we can make the block of symbols:

Answer:

m=9/5

Step-by-step explanation:

Answer :A i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:  The lines are only intersecting with each other once

Answer:

A) 1 solution; consistent and independent

Step-by-step explanation:

on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.

Hopes this helps please mark brainliest

The equations of the two lines are y=2 (the horizontal one) and y=x (the diagonal line).

The region is 'under' y=x without including such line, and 'above' y=2 without including that line.

Therefore, the system of inequalities whose solution is the shaded region is

The slope (m) of the given points is -9.

So, the slope will be:

Now, calculate as follows:

Therefore, the slope (m) of the given points is -9.

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Answer:

A. Pink 0.3 Green 0.2 Yellow 0.05 Blue 0.45

Step-by-step explanation:

Adding up the total number of values:

[tex]6+4+1+9=20[/tex]

Then, finding the probability of each color:

Pink: [tex]6/20=0.30[/tex]

Green: [tex]4/20 = 0.20[/tex]

Yellow: [tex]1/20=0.05[/tex]

Blue: [tex]9/20=0.45[/tex]

Answer:

IT IS 12

Step-by-step explanation:

Answer:

tan y = a/b = 1

(.tan 45° = 1)

a=b

Areas a=1/2 a * b = 1/2 =1/2 * 7√2 * 7√2 cm

b = 7√2 cm

= 49cm²

Step-by-step explanation:

The number of win and losses of the volleyball team is related by a constant number, 3. This means that they're proportional. To find if the other teams also have proportional win-loss records we need to divide the number of their wins by the number of losses, if the result is an integer number, then they're proportional. We have:

Since the football team has a proportional win-loss record with the same proportion as the Volleyball team, then this is the correct answer.

(4x +1)(4x -1)​

Apply the distributive property:

4x (4x ) + 4x (-1) + 1 (4x) + 1 (-1)

16x^2 -4x + 4x -1

Combine like terms:

16x^2-1

Answer:

16x² - 1

Step-by-step explanation:

(4x + 1)(4x - 1)

each term in the second factor is multiplied by each term in the first factor , that is

4x(4x - 1) + 1(4x - 1) ← distribute parenthesis

= 16x² - 4x + 4x - 1 ← collect like terms

= 16x² - 1

By using the property of exponential function, the results obtained are

Base of the function is 5.

Initial value of the function is close to zero.

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2\times 2\times 2\times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a\times a....\times a[/tex] (m times), a is the base and m is the index.

Here,

[tex]y = 5^w[/tex] is an exponential function.

The base of the function is 5.

As [tex]x \rightarrow -\infty[/tex], the function tends to 0

So the initial value of the function is close to zero.

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Answer:

Option B,A,C is correct

Explanation:

You're missing some info. But I did this question before.

A. 11x100

B. 11,000

C. 11x10x10x10

THESE ARE ALL CORRECT SINCE THEY ALL EQUAL 11000 .

ANSWER

P(A and B) = 1/2

EXPLANATION

By the Bayes Theorem we have a relationship between the given probabilities:

In this problem P(B) = 4/7 and P(A|B) = 7/8: