In a complete sentence, describe the relevant angle relationships in the following diagram. Find the measures of 푥푥 and 푦푦.

Step-by-step explanation:

23.4571

Sig Figs6

Decimals4

Scientific Notation2.34571 × 101

Words twenty-three point four five seven one

Answer:

The probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Step-by-step explanation:

Let X denote the starting salaries of individuals with an undergraduate degree from UC Riverside.

It is provided that, \(X\sim N(\$40,000,\ \$5,000^{2})\)

Compute the value of P (34000 < X < 46000) as follows:

\(P (34000 < X < 46000)=P(\frac{34000-40000}{5000}<\frac{X-\mu}{\sigma}<\frac{46000-40000}{5000})\\\\=P(-1.2<Z<1.2)\\\\=P(Z<1.2)-P(Z<-1.2)\\\\=0.88493-0.11507\\\\=0.76986\\\\\approx 0.7699\)

Thus, the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Answer:

A linear pair is a pair of adjacent angles formed when two lines intersect

Answer: x=4

Step-by-step explanation:

5x-9=11

5x=11+9

5x=20

X=4

The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

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

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

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

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

the answer is b

Step-by-step explanation:

i got the question correct with the answer b

Part A: The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5

Part B: The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

Part C: the length of each of the five pieces of wood cut by Warren is 3.8 feet.

It is made up of two mathematical objects, with an equals sign (=) between them. Equations are used to represent relationships between unknown variables and can be solved to find their values.

Part A:

The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5, where x is the length of each piece of wood.

Part B:

The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

This equation can be used to calculate how much wood Warren has cut off from the original 4.5 feet of wood, which is the length of each of the five pieces of wood.

Part C:

Solving the equation from Part A:

x + 0.7 = 4.5

Subtract 0.7 from both sides:

x + 0.7 - 0.7 = 4.5 - 0.7

x = 3.8

Therefore, the length of each of the five pieces of wood cut by Warren is 3.8 feet.

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Answer:i think its B

Step-by-step explanation: well if she ran 0.4 on that day and her goal was

2.5 you would subtract the two and get 0.9.

Answer:B

Step-by-step explanation:

I got it right on my test

Proportional relationships are used to represent direct variation

The number of calories in 14 brownies is 233, and the proportional relationship is \(\mathbf{c = \frac{50b}{3}}\)

Let b represents brownies and c represents calories.

So, the relationship is given as:

b : c = 3 : 50

Express as fractions

\(\mathbf{\frac bc = \frac{3}{50}}\)

Multiply both sides by c

\(\mathbf{b = \frac{3}{50}c}\)

When the number of brownies is 14, we have:

\(\mathbf{14 = \frac{3}{50}c}\)

Multiply both sides by 50/3

\(\mathbf{14 \times \frac{50}{3} = c}\)

\(\mathbf{233 = c}\)

Rewrite as:

\(\mathbf{c = 233 }\)

Make c the subject in \(\mathbf{b = \frac{3}{50}c}\)

\(\mathbf{c = \frac{50b}{3}}\)

Hence, the number of calories in 14 brownies is 233, and the proportional relationship is \(\mathbf{c = \frac{50b}{3}}\)

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Answer:

390 calories

Step-by-step explanation;

18/3=6

130 x 3 = 390

Answer:

390

Step-by-step explanation:

You can set up a simple ratio, 130 is to 6 as x is to 18.  Notice how 6x3=18 so since you multiplied the 6 by 3, then multiply the 130 by 3, so 130 x 3 = 390 calories

Answer:

x = -4y

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

21.43

Step-by-step explanation:

Turn 7 percent to a decimal: 0.07

8800 × 0.07 = 616

13,200÷616=21.4285 etc

Round two decimal places

21.43

thank youuuuuuuuuuuuuuuu!!!!

Answer:

t = 54m + 160

Step-by-step explanation:

Input = m

Output = t

Equation of the function in slope-intercept form, is represented as t = km + b

Where,

k = slope/rate of change

b = y-intercept

Using two pairs, say, (2, 268) and (3, 322):

\( slope(j) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{322 - 268}{3 - 2} = \frac{54}{1} = 54 \)

k = 54

Find b, by substituting m = 2, t = 268, and k = 54 into t = km + b.

Thus:

268 = (54)(2) + b

268 = 108 + b

268 - 108 = b (subtraction property of equality)

160 = b

b = 160

To find the equation of the function, substitute k = 54, and b = 160 into t = km + b.

Thus:

t = 54m + 160

Answer:

5 1/6

Step-by-step explanation:

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Testing the hypothesis, it is found that the appropriate test statistic is z = 0.54.

At the null hypothesis, it is tested if the proportion of women physics majors in your college is the same as the national average of 19%, that is:

\(H_0: p = 0.19\)

At the alternative hypothesis, it is tested if the proportion is different, that is:

\(H_1: p \neq 0.19\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are:

\(p = 0.19, n = 50, \overline{p} = \frac{11}{50} = 0.22\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.22 - 0.19}{\sqrt{\frac{0.19(0.81)}{50}}}\)

\(z = 0.54\)

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Answer:

$0.40

I had the same question and it was $0.40

Answer:

$0.55

Got it on the test, hope this helps :)

Answer:

what are the choices of answers

Step-by-step explanation:

Answer:

the answer is 1 over 12

Answer:

3,846.68182

Step-by-step explanation:

hope it helps

Answer:

633222

Step-by-step explanation:

just put them in order from biggest - smallest

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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Answer:

1108.67 square centimeters

Step-by-step explanation:

Surface Area = 2πr² + 2πrh

Radius = diameter / 2 = 14 cm / 2 = 7 cm

Surface Area = 2π(7 cm)² + 2π(7 cm)(18.2 cm)

Surface Area ≈ 2π(49 cm²) + 2π(127.4 cm²)

Surface Area ≈ 307.86 cm² + 800.81 cm²

Surface Area ≈ 1108.67 cm²

Therefore, approximately 1108.67 square centimeters of metal are required to make the can.

Answer:

x=−4 or x=9

Step-by-step explanation:

1- As we know the formula for Area of rectangle = length x width

2- Multiply given width = (x+1) with length = (x-6)

3-Equation will be (x+1)(x-6) = 30

4- Solving x^2−5 x−6  = 30

5- x^2−5 x -36 = 0

6-Factor left side of equation.

(x+4)(x−9)=0

Set factors equal to 0.

x+4=0 or x−9=0

Answer:

length = 3 width = 10

Step-by-step explanation:

Answer:

B                                            

Im pretty sure

Answer:

Each of the 3 digits can be from 0 to 9, so each of the digits can have 10 values.

10 * 10 * 10 = 1,000

However, if repetition is NOT allowed, then the first digit can be ANY digit (10 possibilities).  The second digit can be ANY digit except what the first digit is (9 possibilities).  The third digit can be ANY digit except what the first digit is or what the second digit is (8 possibilities).

Total area codes = 10 * 9 * 8 = 720

Answer is b

Step-by-step explanation:

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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