A researcher is interested in the effect of vaccination (vaccinated vs not vaccinated) and health status (healthy vs with pre-existing condition) on rates of flu. She samples 20 healthy people and 20 people with pre-existing conditions. 10 of the healthy people and 10 of the people with pre-existing conditions are given a flu shot. The other 10 healthy people and people with pre-existing conditions are not given flu shots. All of the subjects are monitored for a year to see if they contract the flu. How many total subjects (N) are there in the study? O 10 20 30 40

The Number of quarters and dimes Landon has on his piggy bank is (18, 10)

We could set up a system of linear equations thus :

q = d + 8 - - - - (1)

0.25q + 0.10d = 5.60 - - - - (2)

0.25(d + 8) + 0.10d = 5.60

0.25d + 2 + 0.10d = 5.60

0.35d + 2 = 5.60

0.35d = 5.60 - 2

0.35d = 3.60

Divide both sides by 0.35 to isolate d

d = 3.60 / 0.34

d = 10.28

From (1) :

q = d + 8

q = 10.28 + 8

q = 18.28

.Therefore, Landon has about 18 quarters and 10 dimes

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Hey there!

2x - 18x + 36

COMBINE the LIKE TERMS

(2x - 18x) + 36

2x - 18x = -16x

36 = 36 because it doesn’t have any like terms

= -16x + 36

Answer: -16x + 36 or you could simply say

4(-4x + 9)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

0.325

Step-by-step explanation:

i don't get the question sorry...

rational

rational

irrational

irrational

irrational

The term that describes the distribution of the given graph is "skewed left."

Based on the given dot plot, the distribution of the graph can be described as skewed left.

A skewed left distribution, also known as a negatively skewed distribution, is characterized by a longer tail on the left side of the graph.

In this case, the values 1, 1, 1, 2, and 3 are clustered on the left side, indicating a concentration of lower values.

The distribution gradually becomes less dense as the values increase.

The term "skewed left" accurately describes the shape of the graph in this dot plot.

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The graph of the equation given is mentioned below.

What is plot point in graph ?

Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.

Equation given,

y = 3/5x - 1    ----eq(i)

y = 2/5x        -----eq(ii)      

Now, for this two equation we infinite points for real numbers.

Now, take some points to plot the graph.

First for the eq(i)

Put x = 0, so y = -1

Put x = 5, so y = 2

Points for eq(i) is (0, -1) and (5, 2)

Now, for eq(ii)

Put x = 0, so y = 0

Put x = 5, so y = 2

Points for eq(ii) is (0, 0) and (5, 2)

Common point is (5, 2)

Now, plot this point on graph.

Hence, for more clarity graph of the equation given is mentioned below.

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We divide the smaller number in HCF by the remaining after dividing the smaller number by the smaller number. Until there is no more remaining, we repeat the process.

For two or more numbers, HCF can be assessed. It is the most powerful factor for dividing any pair of numbers by either half or all of them. To illustrate: 15 is the biggest number that can divide both 60 and 75 perfectly, making it the highest common factor between those two numbers.

here

Step 1 is to divide the largest integer by the smallest number.

Step 2: Divide the first divisor by the first remainder, taking the divisor as the new dividend and the remainder as the new divisor.

Step 3: Continue until the remainder is 0 and the HCF of the given numbers is the last divisor.

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Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6 and 8 mi are the legs of a right triangle ....the bike path is the hypotenuse ...so you can use the Pythagorean theorem

c^2 = a ^2 + b^2

x^2 =6^2 + 8^2

The negation of the following statements are a. R: Ron did not go to school. b. S: A triangle does not have 3 sides. c. T: x ≠ 9 d. U: 20 is not a multiple of 3.

It's vital to know the opposite of a particular mathematical statement from time to time in mathematics. This practice is known as "negating" a claim. Remember that if a claim is true, then the negation must be false.

The negation of the following statements is:

a. R: Ron did not go to school.

b. S: A triangle does not have 3 sides.

c. T: x ≠ 9

d. U: 20 is not a multiple of 3.

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According to the question The coefficient of variation for the given data set is 40%.

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation (SD) by the mean (μ) and expressing the result as a percentage.

The formula for the coefficient of variation is:

\(\[ CV = \left(\frac{SD}{\mu}\right) \times 100 \]\)

In this case, the standard deviation is 4 units and the mean is 10 units. Plugging these values into the formula, we get:

\(\[ CV = \left(\frac{4}{10}\right) \times 100 \]\)

\(\[ CV = 0.4 \times 100 \]\)

\(\[ CV = 40 \]\)

Therefore, the coefficient of variation for the given data set is 40%.

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The primary rationale for creating the DSM was to c. describe diagnoses to be used as part of a total case formulation.

As a component of a case components assessment that culminates in an absolutely effective treatment plan for each individual, the primary rationale of DSM-5 is to assist trained clinicians in the investigation of their patients' scholarly issues. In point of fact, the indicators in the various analytical norms units never again address the full meanings of hidden issues, which illustrate mental, emotional, social, and physiological strategies that are far more confounded than could be described in those brief outlines.

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(Complete question)

The primary rationale for creating of the DSM was to Select one: a. provide guidelines for psychiatric hospitalization b. identify the etiologies of mental disorders c. describe diagnoses to be used as part of a total case formulation. d. provide justification for reimbursement for treatment

Answer:

\(x^3-3x^2-10x+24\)

Step-by-step explanation:

The first thing that you have to do is take the roots that you're given and write binomial products.

\(x= 2, -3, 4\)

\((x-2)(x+3)(x-4)\)

Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.

The next thing you have to do is multiply the roots together. A good way to do this is the "box method."

(See attachment below for the multiplication of \((x-2)\) and \(x+3\). )

Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of \((x^2+x-6)\) and \((x-4)\))

The resulting polynomial is \(x^3-3x^2-10x+24\).

Answer:

50

Step-by-step explanation:

The sum of angles in a triangle is 180 so the answer is 180 - 90 - 40 = 50.

Also, for your first question, 2 corresponding angles of the triangles must be congruent.

Answer:

B. 50°

Step-by-step explanation:

40°+90°+y = 180°

130°+y°=180°

y° =180°-130°

y = 50° (sum of the interior angles in a triangle=180°)

A linear inequality that forms a system of linear inequalities with y > x - 1, whose solution set is the empty set, is y < x - 1.

When taken together, y > x - 1 and y < x - 1 form a system of linear inequalities, but these two inequalities are contradictory and cannot both be true at the same time. Therefore, the solution set of this system is the empty set, meaning there are no solutions that satisfy both inequalities.

To explain in detail, consider the line y = x - 1. When x = 1, y = 0. If y > x - 1, then y must be greater than 0 when x = 1. But if y < x - 1, then y must be less than 0 when x = 1. These two inequalities cannot both be true at the same time, so the solution set of the system is the empty set.

This shows that when two contradictory linear inequalities are taken together, their solution set is the empty set. In this case, y > x - 1 and y < x - 1 are contradictory, and so their solution set is the empty set.

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--The given question is incomplete; the complete question is

"Write a linear inequality that, when taken with y > x - 1, forms a system of linear inequalities whose solution set is the empty set."

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

\( \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} \)

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

\( \frac{a}{sinA} = \frac{b}{sinB} \)

\( \frac{28}{sinA} = \frac{12}{sin25} \)

Cross multiply:

\( 28 sin25 = 12 sinA \)

\( 11.83 = 12 sinA \)

\( Sin A = \frac{11.83}{12} \)

\( Sin A = 0.986 \)

\(A = sin^-^1(0.986)\)

\( A = 80.44 degrees \)

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

Answer:

C

Step-by-step explanation:

If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.

Answer:

\(\frac{12}{35}\)

Step-by-step explanation:

We need to multiply the numerators, or the numbers on top of the bar (4 and 3) and the denominators, or the numbers below the bar (7 and 5) separately. This is shown below:

\(\frac{4}{7} *\frac{3}{5} =\frac{4 * 3}{7 * 5}\)

4 * 3 is equal to 12, and 7 * 5 is equal to 35. So our final answer is \(\frac{12}{35}\).

If you need more help, let me know! :)

Answer: 3/n

Step-by-step explanation: Whenever the word number is mentioned, use a variable. That could be x, n or any other alphabet. Quotient means division, and 3 is mentioned before number, so 3 would be the numerator. And the unknown number will be in the denominator. It would be 3/n.

Answer:

Step-by-step explanation:

Arange the numbers in ascending order

14,18,20,28,36,58,71

You will see that the median of these data set is 28. So when you multiple it by 18, the answer will be 504.

Therefore, the answer is B. 504

Answer:

\(choice \: c. \: - 77 < f(x) < - 2\)

Step-by-step explanation:

\(f( - 4) = - 5 ({ - 4}^{2}) + 3 = - 77\)

\(f( - 1) = - 5( { - 1}^{2}) + 3 = - 2\)

Thus finding the range of F(x).

The range of the given function is - 77 < f(x) < - 2.

"The range of a function is a set of all the images of elements in the domain."

The given function is:

f(x) = - 5x² + 3

It is defined over the domain - 4 < x < - 1.

For x = - 4, f(x) = - 5(- 4)² + 3 = - 80 + 3 = - 77

For x = - 1, f(x) = - 5(- 1)² + 3 = - 5 + 3 = - 2

Therefore, the range of the given function f(x) is:

- 77 < f(x) < - 2.

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Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The margin of error is approximately $18.35, and the 99% confidence interval for the population mean repair cost is ($56.65, $93.35). This means we are 99% confident that the true population mean repair cost falls within this interval.

To calculate the margin of error, we use the formula: Margin of Error = t × (standard deviation / √n), where t is the critical value for the desired confidence level, standard deviation is the sample standard deviation, and n is the sample size.

With a sample mean repair cost of $75.00 and a standard deviation of $11.50, and a sample size of 6, we need to determine the critical value associated with a 99% confidence level. Since the sample size is small (n < 30), we use a t-distribution instead of a z-distribution.

Using the t-distribution with (n-1) degrees of freedom, where n is the sample size, and a confidence level of 99%, we find the critical value to be approximately 3.707.

Next, we calculate the margin of error: Margin of Error = 3.707 × (11.50 / √6) ≈ 18.35.

To construct the 99% confidence interval, we take the sample mean and add/subtract the margin of error: 75.00 ± 18.35. This gives us a confidence interval of approximately (56.65, 93.35).

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Answer:

A

Step-by-step explanation:

Hope it can help you lovelots

Answer: B. 3/11 (or 2.2727...) is the larger number.

The constant of variation is -4 and the quadrants in which the graph is located is the fourth quadrant.

An inverse function is a function that undoes the action of the another function.

A direct variation's constant of variation is the constant ratio of two variables.

The constant product between two variables represents a variation that is indirect.

Given that;

Inverse variation function = 8

Independent variable = -½

To find constant of variation, we know that;

For an inverse function

y = k/x

k = x × y

Plugging in the relevant values gives;

k = 8 × -½

k = - 4

Thus, the constant of variation is -4.

Also, the minus sign indicates that the constant of variation lies in the 4th quadrant of the graph.

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Answer:

Quadrants 2 & 4

K=-4

Answer:

a = t - 4

Step-by-step explanation:

What you simply do is to subtract 4 from both sides to isolate a to be alone and also become the subject of the formula.

Answer:

a = T-4

Step-by-step explanation:

To make a the subject, we must rearrange the equation/formula:

T = a+4

a+4 = T

a = T-4

Hope this helps

Answer:

I believe it would be 192 milligrams.

Step-by-step explanation:

They said the amount of sodium is equal to the amount of ounces meaning it would be 6ounce:96milligrams. In this case, doubling 6 would be 12, resulting in doubling 96 as well. I'm not 100% sure, this problem contains an unnecessary amount of information for a simple concept.

12 ounces smoothies has 192 milligrams sodium

Given : 6 ounces smoothies have 96 milligrams of sodium

So, per ounce of smoothie consists 96 / 6 = 16 milligrams of sodium

To find : milligrams of sodium in 12 ounces of smoothies

According to sodium per unit smoothie, 12 ounces smoothie consist 12 x 16 = 192 milligrams sodium.

Also : Doubling 6 ounces smoothies to 12 ounces, we get 192 milligrams of sodium by doubling 96 milligrams.

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Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

\(\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

      \(=\frac{13}{36}\)

      \(=0.36111\)

\(\theta \approx \text{sin}^{-1}(0.36111)\)

\(\theta \approx 21.17\)

\(\theta \approx 21^{\circ}\)

Therefore, measure of the unknown angle is 21°.

A) The stated the null and alternative hypotheses are defined as

H₀ : μItalian = μSeafood = μsteakhouse

Hₐ : Not all the population means are equal. So, correct answer is option (a).

B) The value of the test statistic is equals to the 6.70. The p-value is equals to the 0.0056.

C) Conclusion : The null hypothesis H0 is rejected, so there is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

We have a consumer reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. The above table data show the meal prices ($) obtained for the 24 restaurants sampled ( 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses). So, sample size , n = 24

Significance level = 0.05

A) For Hypothesis testing, the null and alternative hypothesis are defined as

H₀ : μItalian = μSeafood = μsteakhouse

Hₐ : Not all the population means are equal. So, correct answer is option (a).

B) We have more than two groups for analysis so we use ANOVA test to compare the means among three or more groups. Using the Excel the above second table is made which represents the mean, standard deviations and standard error for data. It also contains ANOVA table. So,

Mean value of Italian = 17

Mean value of Seafood = 19

Mean value of steakhouse = 24

Uding all the above details or Excel command, The value of the F test- statistic value = 6.70

Using the distribution table, the p-value for test-static value 6.70 is 0.0056.

C)Now, we see P-value = 0.0056 < 0.05, which implies the null hypothesis is rejected. Thus, There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

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Complete question:

You may need to use the appropriate technology to answer this question. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. † One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.

Italian Seafood Steakhouse

$12 $17 $23

13 18 18

16 18 24

16 27 25

18 23 21

19 15 23

18 20 28

24 14 30

Use α = 0. 05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses.

a) H0: μItalian = μSeafood = μSteakhouse

Ha: Not all the population means are equal.

b)H0: μItalian ≠ μSeafood ≠ μSteakhouse

Ha: μItalian = μSeafood = μSteakhouse

c) H0: At least two of the population means are equal.

Ha: At least two of the population means are different.

d)H0: Not all the population means are equal.

Ha: μItalian = μSeafood = μSteakhouse

e) H0: μItalian = μSeafood = μSteakhouse

Ha: μItalian ≠ μSeafood ≠ μSteakhouse

B) Find the value of the test statistic. (Round your answer to two decimal places. )

test statistic=___

Find the p-value. (Round your answer to four decimal places. )p-value =____

V)What is your conclusion?

a)Do not reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

b)Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

c)Do not reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

d)Reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants

Answer:

\(x<12\)

Step-by-step explanation:

\(5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12\)

Option A is correct, x<12 represents the solution set of 5(x+5) <85

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5(x+5) <85

We have to find the solution set of the given inequality

Five times of x plus five less than eight five.

Apply distributive property

5x+25<85

Subtract 25 from both sides

5x<85-25

5x<60

Divide both sides by 5

x<12

Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85

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