Select all the fractions that are equivalent to 4/5. Use the area models to help.

The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7

The probability that equals P(A and B) is P(B) * P(A | B)

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

The Venn diagram

Where, we have

A = 8

B = 7

A and B = 2

Neither = 1

Total = 14

So, we have

P(A) = 8/14 = 4/7

P(B) = 7/14 = 1/2

P(A and B) = 2/14 = 1/7

P(A | B) = (1/7)/(1/2) = 2/7

P(B) * P(A | B) = 1/2 * 2/7 = 1/7

In (a), we have

P(A and B) = 1/7

Also, we have

P(B) * P(A | B) = 1/7

This means that the probability that equals P(A and B) is P(B) * P(A | B)

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Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

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Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

Answer:

The percent markup is 91%.

Step-by-step explanation:

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

The percent markup is 91%.

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

Answer:

8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher

Step-by-step explanation:

Answer:

true :D

8/10 = 80/100 which is greater than 63/100

Step-by-step explanation:

I hope it helps I was just trying. if I'm wrong you can tell me I I will ask the people who are around me. wish you all the best.

Answer: it's 30 I rook the quiz and got 100

Step-by-step explanat

Answer:

This is invertible

Step-by-step explanation:

pls give brainliest!

have a great day!

The orientation change and the symmetry across the center of rotation confirm that it is a 180° clockwise rotation. Therefore, the correct answer is D. 180° clockwise rotation.

Based on the image provided, the type of transformation shown is a 180° clockwise rotation.

A 180° clockwise rotation occurs when each point in the original shape is rotated by 180° in a clockwise direction around a fixed point. In the given image, we can observe that the original shape has been rotated by half a complete revolution, resulting in the new shape being a mirror image of the original shape but in the opposite orientation.

This transformation is evident by comparing the positions of the vertices and sides of the original shape to those of the transformed shape. The orientation change and the symmetry across the center of rotation confirm that it is a 180° clockwise rotation.

Therefore, the correct answer is D. 180° clockwise rotation.

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Answer:

?????

Step-by-step explanation:

12x 0.25=?          ?x 5= $?

Answer:

AB = 6

m∠F = 70°

Step-by-step explanation:

1.) This is isosceles, from the angles you can tell

2.) Angles F and D are equal, this is also a form of isosceles

180-40 = 140

140/2 = 70

Answer:

17/13

Step-by-step explanation:

Answer:

[tex]\frac{17}{13}[/tex] or 1 [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

Answer:

11.3

Step-by-step explanation:

Set up your equation:

a² + b² = c²

Plug in your values:

a² + 4² = 12²

Get a² by itself:

a² = 12² - 4²

Square your numbers and subtract:

a² = 144 - 16

a² = 128

Find the square root of both sides:

√a² = √128

a = 11.3

Answer:

Step-by-step explanation:

lets have the shirts represent s and the ties t.

1. 6s+3t=79.50

2. 3s+2t=41

These would be the equations.

you multiply the second equation by -2 to cancel s and add both equations.

6s+3t=79.50

-6s+-4t=-82

-1t=-2.5 (after adding you divide by -1)

t=2.5

You can then subsitute that in either equation.

I am going to ue teh second one.

3s+2t=41

3s+2(2.5)=41

3s+5=41 (subract 5 to isolate variable)

3s=36 (divide by 3 to isolate variable)

s=12

Hence, one shirt is 12$.

Answer: $71.20

Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!  

Answer:

A, resolving conflicts and negotiating with others

D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.

Step-by-step explanation:

Answer:

its A,B,D,F

developing objectives and strategies

assisting and caring for others

establishing and maintaining interpersonal relationships

interpreting the meaning of information for others

Answer:

The question is uncomplete.

Step-by-step explanation:

Sorry but after you said

"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry

The statement that is true about the shape of the backyard is that: it is a rhombus.

A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.

Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.

Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.

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Area =L×W

192=16W

192/16 =W

W=12cm

Answer:

-0.6

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The prime numbers here are outcomes 2, 3, and 5.

Therefore, we must add the frequency numbers for these prime numbers:  

                36 + 44 + 30 = 110

Out of 200 dice rolls, 110 were prime numbers. This can be represented as:

              110/200 = 11/20 (fraction form)

                             = 0.55 (decimal form)

Therefore, the answer is b. 0.55

Answer:

Step-by-step explanation:

Answer:

Ok ill help i guess

Step-by-step explanation:

0.81 X 10000

Answer:

77/84

Step-by-step explanation:

84 ÷ 12 = 7

Multiply the numerator and denominator by 7

[tex]\frac{11}{12}=\frac{11*7}{12*7}=\frac{77}{84}[/tex]

Answer:

To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)

Answer:

P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:

P(A\B) = P(A and B) P(B)

0.3 = P(A and B) 0.5

0.15 P(A and B)

P(A and B) = 0.15

B. P(A or B) = P(A) + P(B) - P(A and B)

0.2 + 0.5 - 0.15

0.70 - 0.15 = 0.55

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

                  [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                  [tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved

Answer:

2 1/3 (simplified)

Step-by-step explanation:

(1/6 - 1) = -5/6

(1 = 6/6)

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

[3= 18 (3 * 6)]

(1/3 - 1/2) = -1/6

(you can change both of the denominators to 6 by multiplying them both by 3 / 2

So the equation now is

(-5/6)(2 3/5) - (-1/6)

-5/6 * 2 3/5 = 2 1/6 (simplified)

2 1/6 - -1/6 = 2 1/3 (simplified)

Answer:

Quadrilateral, square, rectangle

Step-by-step explanation:

An object have parallel sides if the sides have the same distance apart and they never meet.  

Quadrilaterals usually have parallel sides

Polygons including triangles and pentagons do not have parallel sides

the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other

Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal

Answer:

C

Step-by-step explanation:

Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!

Answer:

meow meow ............

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