An urn contains 25 red balls and 15 blue balls. Two are chosen at random, one after the other, without replacement.
a. Use a tree diagram to help calculate the following probabilities: the probability that both balls are red, the probability that the first ball is red and the second is not, the probability that the first ball is not red and the second is red, the probability that neither ball is red.
b. What is the probability that the second ball is red?
c. What is the probability that at least one of the balls is red?

Answer:

Liz should shop at the store with the item with a reasoning price in other words the one that costs less.

Step-by-step explanation:

You didn't give the stores prices but that would be what I would think.

The fractional equivalent of the repeating decimal 0.2 is 2/9

From the question, we have the following parameters that can be used in our computation:

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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Answer:

2nd option

Step-by-step explanation:

distance / time =  speed

17/2 = 8.5

60/8 = 7.5

26/4 = 6.5

33/6 = 5.5

Answer:

35/6

Step-by-step explanation:

The formula to find the volume of a rectangular prism is V = Bh. To start off, change the Base and height fractions into improper fractions. Multiply them to get 35/6.

Answer:

4\(\frac{2}{3}\) cubic yards

Step-by-step explanation:

You will need the Rectangular Prism Volume Formula for this problem.

This formula is V=lwh

Work Below:

V=lwh

V=.8*2.5*2.33

V=4.66

4.66=4\(\frac{2}{3}\)

Hope this helps!

Using four approximating rectangles and right endpoints, the estimated area under the graph of f(x) = 4x from x = 0 to x = 4 is 40 square units.

To estimate the area under the graph of the function f(x) = 4x from x = 0 to x = 4 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle is determined by dividing the interval [0, 4] into four equal subintervals. The width of each subinterval is (4 - 0) / 4 = 1.

Next, we evaluate the function at the right endpoint of each subinterval to determine the height of each rectangle. For the right endpoint approximation, we evaluate f(x) = 4x at the right endpoint of each subinterval.

The right endpoints of the four subintervals are:

x1 = 1

x2 = 2

x3 = 3

x4 = 4

Now, we calculate the area of each rectangle by multiplying the width by the height. The height of each rectangle is given by the function evaluated at the right endpoint.

Rectangle 1: width = 1, height = f(x1) = 4(1) = 4

Rectangle 2: width = 1, height = f(x2) = 4(2) = 8

Rectangle 3: width = 1, height = f(x3) = 4(3) = 12

Rectangle 4: width = 1, height = f(x4) = 4(4) = 16

Finally, we sum up the areas of the four rectangles to estimate the total area under the graph:

Estimated area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3 + Area of Rectangle 4

= (1)(4) + (1)(8) + (1)(12) + (1)(16)

= 4 + 8 + 12 + 16

= 40

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Answer:

15

Step-by-step explanation:

Ordered Pairs

9 inches after 0 hours

8.15 inches after an hour

7.40 inches after 2 hours

6.65 inches after 3 hours

5.90 inches after 4 hours

4.15 inches after 5 hours

3.40 inches after 6 hours

Function

I don't believe it is a function but I could be wrong

The graph is a quadratic function, and the equation of the function is C(x) = (x + 4)(x - 3)

From the graph the x-intercepts are:

x = -4 and x = 3

Rewrite as:

x + 4 = 0 and x - 3 = 0

Evaluate the product of both equations

(x + 4) * (x - 3) = 0* 0

This gives

(x + 4)(x - 3) = 0

Express as a function

C(x) = (x + 4)(x - 3)

Hence, the equation of the function is C(x) = (x + 4)(x - 3)

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The equation of the Amount paid for a trip is given by:

where x is the number of miles of the trip, while y is the total amount paid for the trip.

If we are to use a graph to solve the problem, we need a table of values first.

We shall choose 5 values for x which range from (0 to 10) in steps of 2.

The corresponding y values must be gotten by substituting these x values into the equation of the trip given above.

From the calculations done above, we have the coordinates of our graph to be:

(0, 3)

(2, 4)

(4, 5)

(6, 6)

(8, 7)

(10, 8)

Thus, we can create our table of values:

Thus, with this table of values, we can plot the graph. The plotted graph is shown below:

Therefore, the total number of miles you can travel with $20 is 34 miles

Answer:

500

Step-by-step explanation:

If 700 is 14%, then x=100%

We do:

700=14%

x=100%

Then, we cross multiply to get

14x=7000

We divide 14 on each side, and get x=7000/14 which is x=500

So there are 500 total students in the middle school

Hope this helped you! If the answer is wrong, please tell me and I will correct it. Also, I would appriceate if you gave me a Brainliest. It means a lot to me :D

Answer:

5

Step-by-step explanation:

-5*-1 = 5

The set of all points equidistant from the points A(-2, 4, 4) and B(5, 2, -3) forms a plane. This plane can be described by an equation that represents the locus of points equidistant from A and B.

To find the equation of the plane, we can first calculate the midpoint M between points A and B, which is given by the coordinates (x₀, y₀, z₀) of M, where x₀ = (x₁ + x₂)/2, y₀ = (y₁ + y₂)/2, and z₀ = (z₁ + z₂)/2.
Midpoint M:
x₀ = (-2 + 5)/2 = 3/2
y₀ = (4 + 2)/2 = 3
z₀ = (4 - 3)/2 = 1/2
Next, we calculate the direction vector D from A to B, which is obtained by subtracting the coordinates of A from those of B.
Direction vector D:
dx = 5 - (-2) = 7
dy = 2 - 4 = -2
dz = -3 - 4 = -7
Using the midpoint M and the direction vector D, we can write the equation of the plane as follows:
(x - x₀)/dx = (y - y₀)/dy = (z - z₀)dz
Substituting the values we calculated earlier, the equation becomes:
(x - 3/2)/7 = (y - 3)/(-2) = (z - 1/2)/(-7)
This equation represents the set of all points equidistant from points A(-2, 4, 4) and B(5, 2, -3), and it describes a plane in three-dimensional space.

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Therefore,Total patients with pneumonia or bronchitis = 25 + 30 - 10= 45Thus, there are a total of 45 patients diagnosed with pneumonia or bronchitis or both.

Among 50 patients admitted to a clinic, 25 are diagnosed with pneumonia, 30 with bronchitis, and 10 with both pneumonia and bronchitis. The number of patients with pneumonia or bronchitis (or both) can be determined as follows:Let A denote the number of patients diagnosed with pneumonia and B denote the number of patients diagnosed with bronchitis.

According to the inclusion-exclusion principle, the total number of patients with pneumonia or bronchitis is given by:Total patients with pneumonia or bronchitis = \(A + B - (A ∩ B)\)where A ∩ B represents the intersection of the sets A and B.In this case, A = 25, B = 30, and A ∩ B = 10.

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The decompositions are:

146 = 73*2

92 = 2*2*23

To do it, just grab one of the numbers and keep dividing it by prime numbers (the smallers first, these are the factors) until you reach 1.

For example.

92

We start with 2.

92/2 = 46

We keep dividing by 2 until we can't do it, so let's try again:

46/2 = 23

And 23 is prime, so:

23/23 = 1

Then the decomposition is.

92 = 2*2*23

Now the other:

146/2 = 73

And 73 is prime, so the decomposition is:

146 = 73*2

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One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D

An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.

The three main types of alcoholic beverage are beer, wine and spirits.

Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits

One drink of an alcoholic beverage contains approximately 100 to 150Kcal.

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Step-by-step explanation:

hmmm, did you mean, when

x + 1/x = 5

then

x² + 1/x² = ?

otherwise, we would need some information, how p and x are related somehow.

so, when

x + 1/x = 5

then

(x + 1/x)² = 5² = 25

x² + 1/x² + 2×x×1/x = 25

x² + 1/x² + 2 = 25

x² + 1/x² = 25 - 2 = 23

The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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Answer:

71

Step-by-step explanation:

A linear pair add up to 180 degrees, because a line measures 180 degrees. If one of those angles is 109, the other must be 74. 109+71=180

The area of the shape is 59.1 ft² ( nearest tenth)

The area of shape is the space enclosed within the perimeter or the boundary of a given shape. The shape consist of a parallelogram and a rectangle.

For us to get the area of the shape , we calculate the area of parallelogram and add it to the area of the rectangle.

Area of parallelogram = b×h

height of the parallelogram is calculated as;

sin60 = h/4

√3/2 = h/4

4√3 = 2h

h = 4√3/2 = 2√3 ft

Area = 5.5 × 2√3

= 11√3 ft² = 19.1ft²

Area of rectangle = l×w

width of the rectangle is calculated as;

cos60 = w/4

1/2 = w/4

2w = 4

w = 4/2 = 2

Area = 2 × 20 = 40ft²

Area of the shape = 40+ 19.1

= 59.1ft²

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Answer:

Step-by-step explanation:

8 to the 3 power​ is

Let's see

Therefore the base of the triangle is 8 centimeters.

The area of the triangle is calculated by using the formula listed below,

Area of the triangle = \(\frac{1}{2} * base * height\)

From the given data area = 28.8 square centimeters

Height = 7.2 centimeters

Therefore to find the base,

\(28.8 = \frac{1}{2} * base * 7.2\)

base = \(\frac{28.8 * 2}{7.2}\)

base = 8 centimeters

Therefore the base of the triangle is 8 centimeters.

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Complete question:

The area of the triangle below is 28.8 square centimeters What is the length of the base? 7.2 cm

Given the word problem, we can deduce the following information:

1. The diameter of the circle is 3 meters.

2. The side length of the square is 3 meters.

To determine the difference in area between a circle and a square, we note first the formulas of a circle with a diameter d and the area of a square with side length d:

where:

d=diameter

where:

d=side length

The figures are shown below:

Based on this, the difference of areas would be:

Next, we plug in d=3:

Therefore, the difference in areas is:

Answer:

Step-by-step explanation:

ima a braintlest

Answer:

f=2 and f=11/8

Step-by-step explanation:

Let's solve your equation step-by-step.

f(−4)=−8

Step 1: Simplify both sides of the equation.

−4f=−8

Step 2: Divide both sides by -4.

−4f

−4

=

−8

−4

f=2

Let's solve your equation step-by-step.

f(−8)=−11

Step 1: Simplify both sides of the equation.

−8f=−11

Step 2: Divide both sides by -8.

−8f

−8

=−11/−8

f=11/8

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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Answer:

Step-by-step explanation:The amount coach smith will spend is given by

11(3(48) + 2(5) + 17 + 2(89)) = 11(144 + 10 + 17 + 178) = 11(349) = $3,839

Answer:

72 miles=1 gallon

Step-by-step explanation:

Divide 1080 by 15 and divide 15 by 15. You get 72 and one.

A possible value for the missing term of the geometric sequence 1250,__,50,.. is 250.

In Mathematics and Geometry, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁ = ar²/ar

x/1250 = 50/x

x² = 1250 × 50

x² = 62500

x = √62500

x = 250

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Complete Question;

What is a possible value for the missing term of the geometric sequence 1250,__,50,..?

Answer:

C. 4 and 9

Step-by-step explanation:

All the factors of 36 is 1, 2, 3, 4, 6, 9, 12, and 36.

Answer:

RT is more appropriate, though even SU could be called a secant.

Step-by-step explanation: