Helppp.. also show work pls

z = 110°

mEB = 90°

mCE = 74°
I’m not sure about x or y but I think these are right.

The probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.

The question asks us to calculate the probability that the person is actually innocent given that they have failed the test. The probability that the person is actually innocent is given by the formula: P(innocent | fails test) = P(innocent and fails test) / P(fails test).

Now we need to calculate the values of the probabilities on the right-hand side of this equation. P(fails test) is equal to the sum of the probabilities that a guilty person fails the test and that an innocent person fails the test. Hence, P(fails test) = P(guilty and fails test) + P(innocent and fails test). P(guilty and fails test) = 0.2 × 0.7 = 0.14P(innocent and fails test) = 0.8 × 0.15 = 0.12. Therefore, P(fails test) = 0.14 + 0.12 = 0.26.

Finally, we can calculate the probability that the person is actually innocent given that they have failed the test: P(innocent | fails test) = P(innocent and fails test) / P(fails test)= 0.12 / 0.26= 0.4615 (rounded to four decimal places).

Therefore, the probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.

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Answer:

Step-by-step explanation:

What is an equation of the line that passes through the point (-5, 7) and is parallel

to the line x - 5y = 15?

We have two values, x and y, from our ordered pair.

Plugging those in we have -5 - 35y = 15

Add 5 to both sides: -35y = 20

Divide both sides by 35 : approx. 0.57

Our slope is 0.57

Answer:

[tex]\frac{25}{11}[/tex]

Step-by-step explanation:

an improper fraction is one where the value on the numerator is larger than the value on the denominator.

2 [tex]\frac{3}{11}[/tex] is a mixed number, that is a whole number and a fraction

this can be converted to an improper fraction by summing the 2 parts , that is the whole number and the proper fraction as

2 + [tex]\frac{3}{11}[/tex]

= [tex]\frac{22}{11}[/tex] + [tex]\frac{3}{11}[/tex]

= [tex]\frac{22+3}{11}[/tex]

= [tex]\frac{25}{11}[/tex]

or

multiplying the whole number by 11 and adding 3 , over 11

[tex]\frac{2(11)+3}{11}[/tex]

= [tex]\frac{22+3}{11}[/tex]

= [tex]\frac{25}{11}[/tex]

Renaming 1 foot to equivalent fraction in yards as  1/3 yards

We multiply the number of feet by 1/3 to convert this to yards, and then we need to identify the two elements of this equation that have a functional relationship.

As we are aware,

1 foot equals 3 yards.

As a result, we must multiply the unknown numbers, denoted by the letter x, by 1/3 in order to get the feet.

Let's say that the variables in this situation are x and y, where x stands for feet and y for yards.

To get the unit in yards, multiply the unit in feet by a factor of three-quarters. x = 1/3y

Hence, the renaming of 1 feet as 1/3 yards, where the fraction is 1/3.

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Answer:

B.25

Step-by-step explanation:

use PEMDAS   (Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).)

Answer:

Step-by-step explanation:

the answer is

z=0.625

If the explained sum of squares is 35 and the total sum of squares is 49, then the residual sum of squares is 14.

The total sum of squares is a measure of the total variability in a dataset. It is the sum of the squared differences between the mean of the dataset and each individual data point. The explained sum of squares is the sum of the squared differences between the predicted value of a regression line and the mean of the dataset.

The residual sum of squares is the sum of the squared differences between the predicted value of the regression line and the actual data points. It is the amount of variability in a dataset that is not explained by the regression line.To calculate the residual sum of squares for the given example, we start with the total sum of squares.

The total sum of squares is the sum of the squared differences between the mean of the dataset and each individual data point. The mean of the dataset is calculated by summing all the values and then dividing by the number of data points.

The total sum of squares is then the sum of the squared differences between the mean of the dataset and each individual data point. For the given example, the total sum of squares is 49.

The explained sum of squares is the sum of the squared differences between the predicted value of the regression line and the mean of the dataset. The predicted value of the regression line can be found using the regression equation. The explained sum of squares for the given example is 35.

The RSS is then the difference between the TSS and the explained sum of squares. For the given example, the RSS is 49 - 35 = 14.

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The probability of flipping a coin 4 times and getting 4 heads in a row is 0.0625, and the probability of getting a head on the 5th coin flip is 0.5.

The probability of getting a head on the 5th flip is still 50%. This is because each coin flip is an independent event, and each coin flip is not affected by the outcome of the previous coin flips. Thus, the probability of getting a head on the 5th coin flip is 0.5, regardless of the previous 4 coin flips.

To summarize, the probability of flipping a coin 4 times and getting 4 heads in a row is 0.0625, and the probability of getting a head on the 5th coin flip is 0.5.

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A- The Sum of the series is 2 - 20 + 200 .. is 2/11. B- the 12th term of the geometric sequence is option C -112.

We can observe that each term in the series is obtained by multiplying the previous term by -10.

Let the first term be a = 2, and the common ratio be r = -10.

Using the formula for the sum of an infinite geometric series, we have:

So = a / (1 - r)

So = 2 / (1 - (-10))

So = 2 / 11

So the sum of the given series is 2/11.

b- We can use the formula for the nth term of a geometric sequence to find the 12th term.

aₙ = a1×rⁿ-¹

where a1 is the first term and r is the common ratio.

We are given two terms in the sequence:

a7 = 7

a56 = ?

We can use these to find a1 and r.

First, we can find the common ratio:

r = a7 / a6 = 7 / (a7 / r) = 7 / a56

Next, we can use the formula to find a1:

aₙ = a2×rⁿ-¹

Substituting the values we know:

r = 7 / a56

Simplifying:

a1= a56^6

Now we can use the formula to find a12:

a12 = a1 * r^(12-1)

Simplifying:

a12 = 7^11 * a56^(-5)

Therefore, the 12th term of the sequence is a negative number, and the only negative option given is (c) -112. So the answer is (c) -112.

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Answer:

Step-by-step explanation:

To find the benchmarks between which 3/8 falls, we need to identify the nearest fractions with denominators that are multiples of 8.

The fraction 3/8 is halfway between 1/4 and 1/2, which can be written as 2/8 and 4/8 respectively. So, we know that 3/8 is greater than 2/8 and less than 4/8.

Therefore, the benchmarks between which 3/8 falls are 2/8 and 4/8. Alternatively, we can express these fractions as decimals and say that 3/8 falls between 0.25 and 0.5.

The order of rotational symmetry of an equilateral triangle is 3.

The order of rotational symmetry of the isosceles triangle is 1.

What is an equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

When an object is rotated around its own axis, its shape stays the same, which is explained by the rotational symmetry of a shape.

All sides of an equilateral triangle are equal.

When an equilateral triangle rotates 120⁰, then its shape remains the same.

The order of rotational symmetry of an equilateral triangle is 360⁰/120⁰ =3.

All sides of an isosceles triangle are not equal.

When an isosceles triangle rotates 360⁰, then its shape remains the same.

The order of rotational symmetry of an isosceles triangle is 360⁰/360⁰ =1.

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The average value of a necklace at Julie's shop is $4.90. For further explanation;-

Julie the jeweler has two gold necklaces worth $105, seven silver necklaces valued at $100, twenty-seven plated necklaces valued at $55, and twenty-two beaded necklaces worth $25. The average value of a necklace at Julie's shop can be calculated by finding the sum of the values of all the necklaces and dividing it by the total number of necklaces.

The total value of all the necklaces is $105 + $100 + $55 + $25 = $285. The total number of necklaces is 2 + 7 + 27 + 22 = 58.

Therefore, the average value of a necklace is $285 / 58 = $4.90. This answer should be rounded to the nearest cent, giving an average value of $4.90 per necklace at Julie's shop.

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Answer:  The answer is 32.

Step-by-step explanation: Yes since you did 9.5+13.6+5.7+3.2 is 32.00 or 32.

Answer:

3.5

Step-by-step explanation:

The parenthesis means you multiply the inside number by the outside number.

the negatives cancel each other out so the answer would be positive 3.5.

Answer:

64,000,000

Step-by-step explanation:

To find out how many combinations there are, you first must do an equation of multiplying these numbers.

20×20×20×20×20×20

Reason being: There are six different number combinations that all are between 1 and 20, so you must multiply all of these numbers.

If you multiply them all together, you would get 64,000,000 different combinations.

Hope it helped!

The measure of angle R in ΔSRT which is drawn inside the circle is 77.5°.

Circle is a two-dimensional shape that is defined as the set of all points that are equidistant from a central point. It is often represented as a round shape with a curved boundary.

Since SR is a diameter of the circle, it follows that angle STR is a right angle (90°). Therefore, we can find the measure of angle SRT using the following equation:

∠SRT + ∠STR = 180°

(2x-23°) + 90° = 180°

2x + 67° = 180°

2x = 180° - 67°

2x = 113°

x = 56.5°

∠TRS = 5x-97°

∠TRS = 5(56.5°)-97°

∠TRS = 192.5°

Finally, we can find the measure of angle SRT:

∠SRT = 180° - ∠STR - ∠TRS

∠SRT = 180° - 90° - 192.5°

∠SRT = -102.5°

Therefore, to find the measure of angle R, we need to add 180° to angle SRT:

∠R = ∠SRT + 180°

∠R = -102.5° + 180°

∠R = 77.5°

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Answer:

The mean increases by 1.4

To find the number of machines that minimize the unit cost, we need to find the value of x that minimizes the function C(x). We can do this by finding the critical points of C(x) and determining which one corresponds to a minimum.

First, we take the derivative of C(x) with respect to x:

C'(x) = 1.2x - 372

Then, we set C'(x) equal to zero and solve for x:

1.2x - 372 = 0

1.2x = 372

x = 310

So the critical point is x = 310.

To determine whether this critical point corresponds to a minimum or a maximum, we need to examine the second derivative of C(x):

C''(x) = 1.2

Since C''(x) is positive for all values of x, we know that the critical point x = 310 corresponds to a minimum.

Therefore, the number of machines that must be made to minimize the unit cost is 310.

Therefore , the solution of the given problem of unitary method comes out to be 495 possible configurations for the program for this section.

The objective can be accomplished by utilizing what has been expression learned thus far, making use of this global availability, and incorporating all essential components from earlier changeable study that utilized a particular method. If the anticipated claim result actually occurs, it will be feasible to contact the entity once more; otherwise, both important processes will undoubtedly miss the statement.

Here,

Order doesn't matter in a combination issue like this one. The combination algorithm is as follows:

=> C(n, r) = r! * (n-r)!

where r is the amount of options, and n represents the total number of options. In this instance, r = 8 and n = 12 (the total amount of records) (the number of records to play). Inserting the values:

=> C(12, 8) = 12! / (8! * (12-8)!)

=> 495

There are 495 possible configurations for the program for this section.

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This is not a valid probability value, which means there must be an error in the information given.

(a) To find the values of P(A), P(B), and P(C), we can use the following formula for the probability of the union of two events:

P(A U B) = P(A) + P(B) - P(A n B)

Using this formula, we can find the value of P(A n B):

P(A U C) = P(A) + P(C) - P(A n C) = 0.70

P(Anc) = P(A') = 0.20

Since A and A' are complements, we can use the complement rule to find P(A):

P(A) = 1 - P(A') = 1 - 0.20 = 0.80

Now we can use the formula to find P(C):

P(A U C) = P(A) + P(C) - P(A n C)

0.70 = 0.80 + P(C) - P(A n C)

Since we do not know P(A n C), we cannot solve for P(C) yet. However, we can use the fact that A, B, and C are mutually exclusive, meaning they have no intersection:

P(A n B) = P(A n C) = P(B n C) = 0

Using this fact and the formula, we can solve for P(C):

P(A U C) = P(A) + P(C) - P(A n C)

0.70 = 0.80 + P(C) - 0

P(C) = 0.70 - 0.80 = -0.10

This is not a valid probability value, which means there must be an error in the information given. It is not possible for the probability of the union of A and C to be greater than the probability of A alone. Therefore, the given information is inconsistent.

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Question:

I need help with my homework due this morning

(a) Given the following information about three events A, B, and C. P(AUC) 0.70 P(Anc) 0.20 Find the values of P(A), P(B), and P(C).

The probability that the weight of a randomly selected steer is less than 1700lbs is 0.9772.

To solve this problem, we need to use the standard normal distribution with a mean of 0 and a standard deviation of 1. We can convert the given data into a standard normal distribution by using the formula:

z = (x - μ) / σ

where z is the z-score, x is the given value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that a randomly selected steer weighs less than 1700lbs. So we need to find the z-score for 1700lbs:

z = (1700 - 1400) / 200

z = 1.5

We can then use a standard normal distribution table or calculator to find the probability that a z-score is less than 1.5. This probability is 0.9332.

However, since we want to find the probability that a randomly selected steer weighs less than 1700lbs (not less than or equal to), we need to add half of the probability of the z-score being exactly 1.5 to this result:

0.9332 + 0.0228 = 0.956

Therefore, the probability that a randomly selected steer weighs less than 1700lbs is 0.9772 (rounded to four decimal places).

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Answer:f(x-5)=x

Step-by-step explanation:To evaluate f(x-5) we need to subtitute x - 5 for x in the expression for f(x):

f(x-5) = (x-5) + 5

The +5 and -5 cancel out, so we are left with f(x-5)=x

Answer:  y = 2x + 8

Step-by-step explanation:

3y - 6x = 24

      3y = 6x + 24

        y = (6x + 24) / 3

        y = 2x + 8

A' is complement of A, A∩B is intersection of A and B, A∪B is union of A and B.

In set theory, the complement of a set is the set of all elements in the universal set that are not in the given set. In other words, it is the set of all elements in the universal set that are outside of the given set.

Ω = {2, 3, 4, 5, 6, 7, 8, 9} (whole numbers from 2 to 9)

A = {4, 6, 8} (even numbers from Ω)

B = {2, 3, 5, 7} (prime numbers from Ω)

a. A' (complement of A, i.e. elements in Ω that are not in A)

A' = {2, 3, 5, 7, 9} (odd numbers and 9 are not in A)

b. A∩B (intersection of A and B, i.e. components found in both A and B)

A∩B = {2} (the only even prime number is 2)

c. A∪B (union of A and B, i.e. elements that can be found in A, B, or both)

A∪B = {2, 3, 4, 5, 6, 7, 8} (all the even numbers and prime numbers from Ω).

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The complete question is:

ASAP

Ω = {whole numbers from 2 to 9} A = {even numbers} B = {prime numbers} List the elements in:

a. A’

b. A∩B

c. A∪B

The probability that no student will withdraw from the course is approximately 0.008 or 0.8%, assuming a binomial distribution with n=90 and p=0.05.

Since each student's decision to withdraw or not is independent of others, we can model the number of students who withdraw as a binomial random variable with n=90 and p=0.05.

To find the probability that no student will withdraw from the course, we want to find P(X=0), where X is the number of students who withdraw. This is given by the binomial probability mass function:

P(X=0) = (n choose 0) * p^0 * (1-p)^(n-0) = (90 choose 0) * 0.05^0 * 0.95^90

Using a calculator or software, we find:

P(X=0) ≈ 0.008

Therefore, the probability that no student will withdraw from the course is approximately 0.008 or 0.8%.

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Answer:

25 euros

Step-by-step explanation:

The ratio is 5:2. Sean received 10 euros. This means that Cheryl received 25 euros. You can multiply both sides of the ratio by 5 to get this answer.

this is the answer for the questions

The probability of observing the expected value for the distribution of a binomial (100, 0.20) is 0.20 (or 20%).

The probability of observing the expected value for a binomial distribution can be calculated using the following formula:

Probability = (n C r) p^r (1-p)^(n-r)

where n = number of trials,

r = expected value,

p = probability of success

For the given distribution, binomial (100, 0.20), we know that n = 100 and p = 0.20.

The expected value is given by:E(X) = np = 100 * 0.20 = 20

So, to find the probability of observing the expected value of 20, we need to plug in the values of n, r, and p into the formula:

Probability = (n C r) p^r (1-p)^(n-r)=

(100 C 20) (0.20)^20 (0.80)^80≈

0.1875 ≈ 0.20 (rounded to two decimal places)

Therefore, the probability of observing the expected value for the distribution of binomial (100, 0.20) is approximately 0.20 (or 20%).

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As per the combination method, there are 12 people with a triple citizenship.

To find out how many people have a triple citizenship, we need to first find out how many people have two citizenships. We can do this by adding up the number of people with each combination of citizenship:

US-Mexican: 4

US-Canadian: 5

Canadian-Mexican: 6

Total number of people with two citizenships = 4 + 5 + 6 = 15

Next, we need to find out how many people have only one citizenship. We can do this by subtracting the number of people with two citizenships from the total number of people:

Total number of people = 53

Number of people with two citizenships = 15

Number of people with only one citizenship = 53 - 15 = 38

Now, we can use combinations again to find out how many people have a triple citizenship.

However, we need to subtract out the people who have only two citizenships, since we don't want to count them twice:

n(US-Mexican-Canadian) = n(US-Mexican) + n(US-Canadian) + n(Canadian-Mexican) - n(with 2 citizenships)

                      = 4 + 5 + 6 - 3   (since 3 people have 2 citizenships)

                      = 12

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