Help help help help math math math

Answer: ASA

Step-by-step explanation:

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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Answer:

508?

Step-by-step explanation:

what is this factor? simplify?...etc

Answer:

x = -5

Step-by-step explanation:

4 – 2(x + 7) = 3(x + 5)

Distribute

4 - 2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10 +2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15-15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.

2(x + 7) = 2x + 14

3(x + 5) = 3x + 15

so, in total

4 - 2x - 14 = 3x + 15

now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).

-2x - 10 = 3x + 15

-25 = 5x

and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.

-5 = x

Approximately 9.63% of the energy consumed by the person would be derived from protein.

To calculate the percentage of energy derived from protein, we need to first convert the amount of protein consumed from grams to calories. Protein provides approximately 4 calories per gram. Therefore, 65 grams of protein would provide:

65 grams * 4 calories/gram = 260 calories

This gives us 260 calories from protein.

To find the percentage of energy derived from protein, we can divide the calories from protein by the total calories consumed and multiply by 100:

260 calories / 2700 calories * 100% ≈ 9.63%

Therefore, approximately 9.63% of the energy consumed by the person would be derived from protein.

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Answer: the correct answer is A and D

Step-by-step explanation:

Just answered the question.

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Got it right on edg

Answer:

\(\frac{2}{9}\)

Step-by-step explanation:

The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be \(\frac{successful}{total}\).

In this case, there are a total of \(20+15+10=45\) ways to choose any ball, since there are \(45\) balls in the box. However, only \(10\) are yellow, so there are \(10\) ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is \(\frac{10}{45}=\frac{2}{9}\). Hope this helps!

Quantitative data may be either numeric or nonnumeric.

Quantitative data refers to data that can be measured or expressed numerically. This type of data can be either numeric, such as numerical values or counts, or nonnumeric, such as codes or labels that can be assigned numerical values for analysis.

Numeric quantitative data includes measurements like height, weight, temperature, age, and scores on a test, while nonnumeric quantitative data may include categories or labels such as gender (coded as 0 for male and 1 for female), ethnicity (coded as 1 for Asian, 2 for African American, 3 for Caucasian, etc.), or education level (coded as 1 for high school, 2 for college, 3 for postgraduate, etc.).

Therefore, quantitative data can be either numeric or nonnumeric, depending on how it is represented and used for analysis.

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Answer:

Step-by-step explanation:

11. ......................................................

When the roots are equal, the discriminant equals zero

Substituting the values and solving for k:

12. ......................................................

The values of

The sum  and the product of the roots is:

(i)

(ii)

Answer:

A. It is crowded with people.

Step-by-step explanation:

The five crates contain 175 pounds of oranges.

We know that the total weight of 5 crates of oranges and the empty crates combined is 200 pounds.

We also know that each empty crate weighs 5 pounds.

Assume that the weight of the oranges in the five crates is "w" pounds. So, the weight of the empty crates is 5 x 5 = 25 pounds.

To find the weight of the oranges, we subtract the weight of the empty crates from the total weight:

200 - 25 = 175 pounds.

Therefore, the weight of the oranges in the five crates is 175 pounds.

Hence, the five crates contain 175 pounds of oranges.

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When dealing with ordinal data measurement that produces a significant number of tied ranks, it is appropriate to use Spearman's rank-order correlation coefficient.

Spearman's rank-order correlation coefficient is a nonparametric measure used to assess the strength and direction of the relationship between two variables when the data is measured on an ordinal scale or when there are tied ranks.

Unlike Pearson's correlation coefficient, which requires interval or ratio level data, Spearman's rank-order correlation is based on the ranks of the data points.

When there are tied ranks in the data, it means that multiple individuals or observations share the same rank.

This can happen when the measurements are not precise enough to assign unique ranks to each data point.

In such cases, using Pearson's correlation coefficient, which relies on the exact values of the variables, may not be appropriate.

Spearman's rank-order correlation coefficient handles tied ranks by assigning them average ranks. This approach ensures that the analysis considers the relative ordering of the data points, rather than the specific values.

By using this measure, we can assess the monotonic relationship between the variables, even when tied ranks are present.

Therefore, when faced with ordinal data measurement containing tied ranks, it is advisable to use Spearman's rank-order correlation coefficient to accurately assess the relationship between the variables.

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9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

  12 +6n = 25 +5n . . . . . . . . . eliminate parentheses

  n = 13 . . . . . . . . . . . subtract 5n+12

Adding 13 to each term will give 5/6.

__

Check

  (2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6

_____

Alternate solution

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

The null hypothesis, in this case, assumes that the proportions of vacationers going to different destinations among the travel agency's customers are similar to the proportions observed in the overall population. It implies that any difference between the sample data and the expected distribution is due to random chance.

The alternate hypothesis, on the other hand, proposes that there is a significant difference between the travel agency's customers and the overall distribution of vacationers' travel destinations. This hypothesis suggests that the travel agency's customers have a distinct pattern of travel destinations compared to the general population.

To test these hypotheses, a hypothesis test can be conducted using the critical value method. With a significance level of 5%, the critical value is determined based on the desired level of confidence (95%) and the degrees of freedom associated with the test.

The observed sample data shows that out of 200 customers, 80 traveled to Europe, 44 to the Far East, 34 to South/Central America, 16 to the Middle East, 20 to the South Pacific, and 6 traveled elsewhere.

To conduct the test, we compare the observed sample proportions to the expected population proportions. If the test statistic falls within the critical region (determined by the critical value), we reject the null hypothesis in favor of the alternate hypothesis.

Assumptions associated with this procedure include random sampling, independence of observations, and the validity of the overall population distribution. These assumptions are important to ensure the reliability of the hypothesis test results.

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The value of f(-2)g(-2) after performing set of calculation and evaluating every given option is -24. Hence, the  required correct answer for the given question is option d.

In order to find the value of f(-2)g(-2), here we have to implement the given function is  f(x)=x²+4 and g(x) = 2x +1, and find the value of f(-2) so that we can put the derived value in g(x) to find the g(-2)

Staging the value of x=-2 in f(x),

Now after evaluating  we get f(-2)=(-2)²+4=8.

Again, placing the value of x=-2 in g(x),

Hence,

we get g(-2)=2 x (-2)+1

=-3.

Therefore, f(-2)g(-2)

=8 x (-3)

=-24.

The value of f(-2)g(-2) after performing set of calculation and evaluating every given option is -24. Hence, the  required correct answer for the given question is option d.

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The complete question is

Suppose f(x)=x²+4 and g(x) = 2x +1. Find the value of f(-2)g(-2).

a) 17

b) 40

c) 13

d) - 24

If Danny wants to buy the new sci-fi book for $15.75. Some of the books were signed by the author, and those cost an additional 60%. Then  new selling price for a signed sci-fi book is $25.52

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

Danny wants to buy the new sci-fi book for $15.75.

Some of the books were signed by the author, and those cost an additional 60%

We need to calculate 60% of 15.75

Change 60% to decimal value by dividing with 100

60/100=0.6

Now multiply 0.6 with 15.75 to find 60% of 15.75

0.6×15.75

9.45

So 9.45 is the cost of books.

Add 15.75 with 60% amount

$15.75+$9.45

$25.52

Hence the new selling price for a signed sci-fi book is $25.52

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5/45 = 1/9 represents the probability of the best-case scenario. 40/45 = 8/9 represents the probability of the worst-case scenario.

When two socks from the same pair are missing, the likelihood of the best-case scenario increases. As a result, all four pairs of socks are present. Now, 10C2 = 45 gives the total number of possible methods to choose 2 socks from a total of 5 x 2 = 10 socks. The probability of choosing one pair of socks from five pairs is equal to the number of ways to choose two socks from a pool of ten socks, and this is provided by the formula 5C1 = 5.  given by 5 / 45 = 1 / 9. The worst case situation is when they are not from the same pair of socks. As a result, all three pairs of socks are present. Now, 10C2 = 45 gives the total number of possible methods to choose 2 socks from a total of 5 x 2 = 10 socks. 10C2 - 5C1 = 45 - 5 = 40 is the number of ways to choose two socks from a group of ten so that they are not from the same pair.  given that by 40 / 45 = 8 / 9

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The sample proportion is 0.02. The one-proportion 2-test is appropriate for performing the hypothesis test.

The sample proportion can be determined by dividing the number of successes (4) by the sample size (200). In this case, 4/200 equals 0.02, which represents the proportion of successes in the sample.

To determine whether the one-proportion 2-test is appropriate, we need to check if the conditions for its use are satisfied.

The conditions for using this test are: the sample should be a simple random sample, the number of successes and failures in the sample should be at least 10, and the sample size should be large enough for the sampling distribution of the sample proportion to be approximately normal.

In this scenario, the sample is stated to be a simple random sample. Although the number of successes is less than 10, it is still possible to proceed with the test since the sample size is large (n = 200).

With a sample size of 200, we can assume that the sampling distribution of the sample proportion is approximately normal.

Therefore, the one-proportion 2-test is appropriate for performing the hypothesis test in this case.

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Answer:

5.313mg

Step-by-step explanation:

The half-life of cesium-137 is 30 years. Suppose we have a 170-mg sample. What is the rate of decay after 150 years? (Round your answer to three decimal places.)

Half life formula

= N(t) = No(1/2)^t/t½

N(t) = Amount after t years

No = Initial amount

t = time

t½ = half life

N(t) = 170 (1/2) ^150/30

N(t) = 170 × (1/2)^5

N(t) = 5.3125mg

Approximately the quantity left after t years = 5.313mg

Answer:

plot the first point on (0,-4)

from there, rise 2, then run 3

plot another point on (3,-2)

plot another on (6,0), and so on

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

(0,6)

Step-by-step explanation:

We are given a line, and we want to find the y-intercept of this line.

The y-intercept is the point where the line intersects the y-axis. The value of x at the y-axis is 0.

Since the value of x at the y-axis is 0, we can get rid of the options (6,0) and (2,0).
The y-axis is the vertical line; at the top of the graph, the line labeled 'y' is the y-axis.

If we look at the y-axis, we can see that the point (0,6) is shared between both the y-axis and the line.

Therefore, the y intercept of this point is (0,6).

The probability that a single randomly selected value from a population with a normal distribution, where the mean (μ) is 189.2 and the standard deviation (σ) is 83.2, falls between 195.2 and 214.1 is approximately 0.1632.

To find the probability, we can standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

For 195.2:

z1 = (195.2 - 189.2) / 83.2 = 0.0721

For 214.1:

z2 = (214.1 - 189.2) / 83.2 = 0.2983

Using a standard normal distribution table or a calculator, we can find the area under the curve between these z-scores, which represents the probability:

P(195.2 < x < 214.1) = P(0.0721 < z < 0.2983) ≈ 0.1632

Therefore, the probability that a single randomly selected value falls between 195.2 and 214.1 is approximately 0.1632.

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Complete question is in the image attached below

Answer:

f(-1) = 0

f(2) = 16

Step-by-step explanation:

f(-1) = 4(-1) + 4 = 0

f(2) = 4(2) + 8 = 16

Step-by-step explanation:

You can put the value of x into the equation to solve for y. Hopes this works.

The given series terms can be described as follows:

From this, we are able to calculate and sum the rest of the terms until A10, as follows:

From the solution de developed above, we are able to conclude that the answer to the present question is:

(a) The Beta distribution that is commonly used to model the true defect rate p is the Beta-Binomial distribution.

It is a combination of the Beta distribution, which represents the uncertainty in the true defect rate, and the Binomial distribution, which represents the number of defectives in a fixed sample size. The parameters of the Beta distribution, α and β, determine the shape of the distribution and can be estimated based on the observed data.

(b) To find P(0.15 ≤ p ≤ 0.25), we need to calculate the cumulative distribution function (CDF) of the Beta distribution with the given parameters α and β. The CDF represents the probability that the true defect rate is less than or equal to a certain value. By evaluating the CDF at p = 0.25 and subtracting the CDF at p = 0.15 from it, we can obtain the desired probability.

(c) When combining the two samples, the new Beta distribution for modeling p can be obtained by updating the parameters α and β based on the additional observations. In this case, with a total of 3 defective parts and 17 working parts (2 + 1 defective and 8 + 9 working), we can calculate the new values of α and β.

(d) Similar to part (b), we can use the updated parameters of the Beta distribution to calculate the probability P(0.15 ≤ p ≤ 0.25) for the new distribution. By evaluating the CDF of the updated Beta distribution at p = 0.25 and subtracting the CDF at p = 0.15 from it, we can determine the probability of the true defect rate falling within the specified range.

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