Can someone solve this

c - 25 - (-13)

Answer:

1-a) 78+x+16+x+24=180°

118+2x=180

2x=62

so x=31

Step-by-step explanation:

thats a

Answer:

1a) x = 31

1b) x = 12

2) angle A = 60 degrees

3) x = 40 degrees

Step-by-step explanation:

Answer:

(4, 3)

Step-by-step explanation:

Since the x is by itself in the first equation already, we can solve for y in the next equation and substitute for x.

(y+1)+2y=10

3y+1=10

    -1   -1

3y=9

y=3

Next, we need to find x. To do this, we need to substitute y with 3 in one of the equations.

x=(3)+1

x=4

The ordered pair is finally (4, 3).

Hope this helps!! I literally just learned this today...have a great day ❤

Step-by-step explanation:

area of triangle A

= 1/2×9×3

=13.5 units^2

area of triangle B

= 1/2×3×7

= 10.5 units^2

area of whole figure

= 13.5+10.5

= 24 units^2

Answer:

could you explain this more im having a hard time with what this is asking?

Answer:

402.336 meters per minutes

Step-by-step explanation:

revolutions per minute = speed in meters per minute / circumference in meters.

Diameter = 28 inches

Circumference of the wheel = 2πr

r = Diameter/2 = 28/2 = 14

Circumference = 2 × π × 14

= 87.964594301 inches

Approximately = 88 inches

Note that:

1 inch = 0.0254 metre

88 inches = x

x = 88 × 0.0254 meters

x = 2.2352 meters

Hence:

Revolutions per minute = Speed in meters per minute / circumference in meters.

Speed = Revolutions per minute × circumference in meters.

Speed = 180 RPM × 2.2352 meters

Speed = 402.336 meters per minutes

Speed of the bicycle traveling down the road = 84π.

It is given that

Diameter of the wheel (2r) = 28 inches, where 'r' is the radius

Speed N(in revolutions per minute) = 180rpm

Angular speed ω = \(\frac{2\pi N}{60}\)radian per second.

\(w= \frac{2*\pi*180 }{60 } = 6\pi\) radian per second

Speed of bicycle V = r*ω

Where,

r= radius of the wheel

\(V = 14*6*\pi = 84\pi inches/second\)

Therefore,

speed of the bicycle traveling down the road = 84π.

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The probability that a test revealed that Jared is a carrier but Lucia is not is 1/4

Mendel discovered that genes are inherited as separate, paired units, one from each parent. Its application of mathematics to illuminate observations of natural phenomena.

Given that lucia and jared each have a sibling with cystic fibrosis, but neither lucia nor jared nor their parents have the disease

Mendel theory is a technique used to estimate the probability of getting specific characteristics.

Lucia and Jared have a probability of both carrier and non carrier

If both of them are non carrier then the children born to their family have no chances of getting disease.

If any one of them is carier, then there is a chance of getting one child as a carrier. That is ¼ or the ratio is 1:4

If both of them are carriers then the ratio will be 1:2:1

If Jared is carrier then the probability will be ¼

Therefore the probability if a test revealed that jared is a carrier but lucia is not is ¼

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The system of equations is:

x + y = 10

4x + 3y = 36

The solution is x = 6 and y = 4.

A)

Let's define the variables:

We can write the system of equations:

x + y = 10

4x + 3y = 36

Isolate x on the first equation to get:

x = 10 - y

Replace that in the other one:

4*(10 - y) + 3y = 36

40 - 4y + 3y = 36

40 - y = 36

40 - 36 = y

4 = y

And thus, the value of x is:

x = 10 - y = 10 - 4 = 6

They bought 6 cheese wafers and 4 chocolate ones.

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Answer: b

Step-by-step explanation:

Answer:

$1.50  per hour more then at the pool

Step-by-step explanation:

7.75 per hour at the pool

9.25 per hour at the beach

9.25 - 7.75 = $1.5

The given scenario of rolling a fair die repeatedly until we see the number four appear, and then we stop, is an example of a geometric distribution. The probability that we need at most 3 rolls is 91/216

This can be calculated as follows:

Given that we roll a fair die repeatedly until we see the number four appear and then we stop.

Let X be the number of times the die is rolled until we see the number four. Then X is a geometric random variable with the parameter p = 1/6.

The probability that we need at most 3 rolls is the probability that we get a four on the first, second, or third roll.

P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

The probability of getting a four on the first roll is:

P(X = 1) = (1 - p)^(1-1) * p = (5/6)^0 * 1/6 = 1/6

The probability of getting a four on the second roll is:

P(X = 2) = (1 - p)^(2-1) * p = (5/6)^1 * 1/6 = 5/36

The probability of getting a four on the third roll is:

P(X = 3) = (1 - p)^(3-1) * p = (5/6)^2 * 1/6 = 25/216

Therefore, P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3) = 1/6 + 5/36 + 25/216 = 91/216

The probability that we need at most 3 rolls is 91/216.

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Vertical angles. hope it helps.

Answer:

Vertical angles.

Step-by-step explanation:

Angles 4 and 2 have the same angle measure and angles 1 and 3 have the same angle measure. This happened because the lines intersected each other.

The number of marbles in the bag illustrates probability

The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble

The probabilities are given as:

P(Red) = 1

P(Green) = 1

For a distribution, the sum of all probabilities must equal to 1.

This means that:

P(Red) + P(Green) = 1

So, we have:

1 + 1 = 1

This gives

2 = 1

The above equation is false because 2 does not equal to 1.

So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag

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The given information can be expressed as follows: The probability that the first coin comes up head = p1. The probability that the second coin comes up head = 0.4.Now, we can find the probability of not getting heads in any of the tosses as follows: Prob. of not getting heads in the first toss = (1-p1)(0.6)Prob. of not getting heads in the second toss = (0.4)(0.4)The probability of not getting heads in any of the tosses = (1-p1)(0.6)(0.4)(0.4)The probability of getting at least one head in any of the tosses = 1 - (1-p1)(0.6)(0.4)(0.4)Therefore, the expected value of the number of tosses until we get at least one head is the reciprocal of this probability, which is given as follows: Expected value = [1/{1 - (1-p1)(0.6)(0.4)(0.4)}].

Using the formula for variance, we can now calculate the variance as follows: Variance = [1 - {1/{1 - (1-p1)(0.6)(0.4)(0.4)}}] / {[1/{1 - (1-p1)(0.6)(0.4)(0.4)}}]²= 1 / {[1 - (1-p1)(0.6)(0.4)(0.4)]} - 1= 1 / {1 - 0.24p1} - 1= {1 - 1 + 0.24p1} / {1 - 0.24p1}= 0.24p1 / {1 - 0.24p1}Hence, the variance of the number of tosses is 0.24p1 / {1 - 0.24p1}.

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The slope of a fairly flat upward-sloping line will be a small positive number. (option c)

This is because a slope measures the change in the y value for a given change in the x value. As the line is fairly flat, the change in y value will be small. Since the line is upward-sloping, the change in the y value will be positive. Therefore, the slope of the line will be a small positive number.

To calculate the slope mathematically, we can use the formula

This formula gives us the slope of the line between two points (x1, y1) and (x2, y2). In our case, since the line is fairly flat, the difference in y values (y2-y1) will be small, resulting in a small positive number for the slope.

We can also visualize this mathematically. If we graphed the line, it would look like a flat line, because the difference in y values is small. Therefore, the slope of the line will be a small positive number.

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The objective of increasing the proportion of adolescents receiving comprehensive, evidence-based sexual education is a crucial step in promoting the health and well-being of the next generation of Americans.

Healthy People 2030 is a national initiative that sets objectives to improve the health of Americans. One of the objectives in the domain of "much" is to increase the proportion of adolescents receiving comprehensive, evidence-based sexual education.

In mathematical terms, this objective can be expressed as increasing the ratio of adolescents who receive comprehensive, evidence-based sexual education to the total number of adolescents in a given population. The domain of "much" refers to the scope of this objective, which is to have a significant impact on the sexual health of adolescents nationwide.

By increasing the proportion of adolescents who receive comprehensive, evidence-based sexual education, Healthy People 2030 aims to improve outcomes related to sexual health, such as reducing unintended pregnancies, sexually transmitted infections, and sexual violence. This objective recognizes the importance of education in promoting healthy behaviors and empowering young people to make informed decisions about their sexual health.

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The interquartile range is a more stable measure of variation than the range because it is less influenced by extreme values or outliers, providing a more accurate representation of the typical spread of the data.

The interquartile range (IQR) is considered a more stable measure of variation compared to the range because it is less influenced by extreme values or outliers in the data set.

The range is defined as the difference between the maximum and minimum values in a data set. While it provides a simple measure of the spread of the data, it is highly sensitive to outliers. Even a single extreme value can significantly impact the range, causing it to become larger or smaller, leading to an inaccurate representation of the overall data variability.

On the other hand, the interquartile range focuses on the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The quartiles divide the data into four equal parts, each representing 25% of the data. By using the interquartile range, the values of the extreme outliers are not taken into consideration, making it more robust against extreme values that can distort the variability measurement.

Since the interquartile range only considers the middle 50% of the data, it provides a more stable and robust measure of variation. It helps to capture the spread of the central data points, which is often more representative of the overall data distribution.

In summary, the interquartile range is a more stable measure of variation than the range because it is less influenced by extreme values or outliers, providing a more accurate representation of the typical spread of the data.

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Answer:

10

Step-by-step explanation:

Answer:

20

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The correct statements are:

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1)

There are four ways to choose the committee.

This statement is true.

since we have to choose 3 members out of the 4 members so we can use the method of combination.

2)

There are three ways to form the committee if person D must be on it.

This statement is also true.

since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3)

If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

i.e. there are 35 combinations possible.

4)

If persons B and C must be on the committee, there are two ways to form the committee.

if B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5)

If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be in the committee then as in last option we have to choose any one of the two person left.

so possible number of ways are 2.

Hence, the statement is false.

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Answer:

A= 9 and B=15

Step-by-step explanation:

Based on my work. I made a = b and substituted into a pythagorean theorem equation. I got a quadratic equation with only 1 solution, making it work fine.

The conclusion is that there is sufficient evidence at the 0.01 level to support the mayor's claim that under 62% of the residents favor construction of the bridge.

The mayor rejects the null hypothesis at the 0.01 level, which means that the results from the hypothesis test show that the actual proportion of residents who favor construction is less than 62%. The alternative hypothesis would be that the true proportion is less than 62%. After gathering information from 110 voters, the results of the hypothesis test were used to make a decision on whether to reject or fail to reject the null hypothesis. If the hypothesis test showed that the null hypothesis could be rejected at the 0.01 level, it means that there was sufficient evidence to support the mayor's claim that less than 62% of the residents favor the bridge construction. However, it's important to note that hypothesis testing is not a perfect method and other factors such as sample size and sampling method should also be considered when interpreting the results.

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Answer:

1615441

Step-by-step explanation:

Use BPEMDAS:

Multiply in the parenthesis 1st:

(1271)²

Then exponent:

1615441

Answer:

Rotation 90⁰ clockwise about point (-1,-1)

Answer:

0.02

infinete 0.0222222222

Step-by-step explanation:

or 45

Answer:

B) 14, 18, 5

Step-by-step explanation:

This is correct

Answer:

A sample is a subset of the population.

Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

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Answer:

1/4

Step-by-step explanation: