Find the simplified ratio of math hours to science hours.
4) One hundred people attended Nick's game. 60 were adults and 40 were kids.
Find the simplified ratio of adults to total people.

The correct research method for the study mentioned in the question is a Field survey.

Field survey can be defined as a research method used to collect data from a target population. In this study, researchers used a survey questionnaire to gather data from participants. The research aimed to test the theory that the exposure to multiple versions of fake news on various social media platforms made people believe the news.

The researchers surveyed 1,455 participants with an average age of 27, and 42% were male. The participants were exposed to 24 false news stories, and one group was exposed to multiple versions of fake news, while the other group was only exposed to each news story once.

The findings suggested that the more familiar the news was, the more accurate and believable it was. This familiarity effect lasted for up to a month. Hence, the research method used in this study was a field survey.

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The minim she can get for a score is a 90%

The inequality notation for the given interval is -∞ < x ≤ -11 and -8 ≤ x < ∞

Disclaimer:

Considering the given interval as (-∞, -11] ∪ [-8, ∞).

Given interval is a union of two intervals.

The first interval denotes the set of all real numbers which are less than or equal to -11.

And the second interval denotes the set of all real numbers which are greater than or equal to -8.

The inequalities can be written as below:

(-∞, -11] ⇒ x ≤ -11 (or) -∞ < x ≤ -11

[-8, ∞) ⇒ x ≥ -8 (or) -8 ≤ x < ∞

And there is a union symbol between these two intervals.

So, x should satisfy both inequalities.

x ≤ -11 and x ≥ -8

or the above can be written as

-∞ < x ≤ -11 and -8 ≤ x < ∞

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Step-by-step explanation:

First, we have to find the 'm' in the equation, "y = mx + c"

\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{4 - 1}{8 - 4} \\ m = \frac{3}{4} \)

Then we replace the 'm' in the equation

y = mx + c

Then substitute one of the coordinates into the equation

\(4 = ( \frac{3}{4} \times 8) + c \\ 4 = (3 \times 2) + c \\ 4 = 6 + c \\ c = 4 - 6 \\ c = - 2\)

Therefore, the equation is;

\(y = \frac{3}{4} x - 2\)

Answer:

5% of 320 is 16

you multiply 320 by .05 to get 16

Answer: 16

Step-by-step explanation:

Solution for What is 5 percent of 320:

5 percent *320 =

(5:100)*320 =

(5*320):100 =

1600:100 = 16

Now we have: 5 percent of 320 = 16

Using the slope concept, it is found that the measure of the angle of elevation is of 26º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, considering the vertical and horizontal distances of 66 ft and 135 ft, respectively, and the angle of elevation as \(\alpha\), we have that:

\(\tan{\alpha} = \frac{66}{135}\)

\(\alpha = \tan^{-1}{\left(\frac{66}{135}\right)} = 26^\circ\)

The inverse of the tangent was found using a calculator. Hence, the measure of the angle of elevation is of 26º.

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After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.

To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.

The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:

S = a / (1 - r)

where 'a' is the first term of the series.

In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.

Applying the formula, we have:

S = 1 / (1 - 2)

Simplifying, we get:

S = 1 / (-1)

S = -1

However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.

Hence, we conclude that the given infinite series does not converge to 1.

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The remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

We can use the remainder theorem to find the remainder when a polynomial is divided by a linear factor.

The remainder theorem states that the remainder when a polynomial f(x) is divided by x - a is f(a). In this case, the polynomial is f(x) = 2x3 - 12x2 + 11x + 2 and the linear factor is x - 5. So, the remainder is f(5).

To find f(5), we can simply substitute x = 5 into the polynomial. This gives us f(5) = 2(5)3 - 12(5)2 + 11(5) + 2 = 7.

Therefore, the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.

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To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

The required value of y is 117°

Given AB and CD are parallel lines;

and EF is the transversal

Thus 2x + 16 = 3x - 12 { because they are corresponding angles }

On solving the above mentioned linear equation

we get,

x = 25

Thus the required angles are  2x + 16 = 50 + 16 = 66 degrees

and 3x - 12 = 75 - 12 = 63 degrees

And to find the value of y

we can use linear pair property

Thus y + 63 = 180

y = 180 - 63

y = 117 °

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Answer:

w = -1

Step-by-step explanation:

Answer:

\(\Huge \boxed{w=-1}\)

Step-by-step explanation:

\(w-5-4= -8-6w+8w\)

Combining like terms.

\(w-9= -8+2w\)

Adding -w and 8 to both sides.

\(-9+8=2w-w\)

\(-1=w\)

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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The solution to this equation is x = 1, as 2log3x = 1 implies that log3x = 1/2, and then log3(x2 - 2) = 1/2.

The equation log3x log3(x2 2) = 1 2log3x can be simplified to log3x2 - log32 = 1 2log3x. This equation can be further simplified by combining like terms on both sides, resulting in log3x2 - 2log3x = log32. We can now take the logarithm of both sides, resulting in x2 - 2x = 2. This equation can be rearranged to x2 - 2x - 2 = 0, and then solved using the quadratic formula. The solutions of this equation are x = 1 and x = 2. However, since log3x must be positive, the only valid solution to the equation is x = 1. This implies that 2log3x = 1, and then log3(x2 - 2) = 1/2. Therefore, the solution to the equation log3x log3(x2 2) = 1 2log3x is x = 1.

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Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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The 1, 2, 4, and 5 principles are the principles that are used for accurate image projection with the help of the paralleling technique. Hence, the answer is option D.

The Principles are the following:

In this principles, the 1, 2, 4 & 5 principles are used for accurate image projection.

Therefore, the correct answer is principles 1, 2, 4, and 5. With the help of these principles we can accurate the image projection with the help of paralleling technique.

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\(\Large\boxed{\tt Answer:~x=\frac{5}{7} }\)

\(\tt Step-by-step~explanation:\)

Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract

Distribute: 9(1+x) = 9+9x

19 - 5x = 9 + 9x

Add 5x to both sides of the equation and subtract 9 from both sides.

19 - 5x + (5x) = 9 + 9x + (5x)

19 - (9) = 9 - (9) + 14x

10 = 14x

Divide both sides by 14 to get the variable on its own.

10/14 = 14x/14

10/14=x

5/7 = x

Answer:

1684.8 cubic units

Step-by-step explanation:

In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.

       h + 7² = 13²

              h²= 169 - 49

              h² = 120

               h = √120

                h = 10.95 units

radius = r = 7 units

\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)

                                                    = 3.14 * 7 * 7 * 10.95

                                                    = 1684.8 cubic units

The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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The outcomes of each trial are dependent events.

Let's discuss dependent and independent events,

Events are considered dependent if the result of one event affects the result of the other. In simpler words, the occurrence of an event will influence the likelihood of the occurrence of the other event.

Events are considered independent if the result of one event doesn't affect the result of the other. In simpler words, the occurrence of an event won't influence the likelihood of the occurrence of the other event.In this question, a letter of the alphabet is chosen at random. One of the remaining letters is selected at random. Here, the outcome of the first event influences the second event.

Thus, we can say that the outcomes of each trial are dependent events.

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Answer: 4x+6

Step-by-step explanation:

3x-y+8+x+y-2

3x+x +y-y  +8-2

4x+6

The Answers are given below:

A variable is an alphabet that an be assigned a number and the number is not fixed.

A variable can be stable (independent) or unstable (dependent) variable.

In conclusion, the list above is the answers for each question given.

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Answer:

In statistics, an outlier is a data point that differs significantly from other observations.

Step-by-step explanation:

Answer:

Perpendicular

slope Ab = undefined

slope Cd = 0

Step-by-step explanation:

slope AB = undefined, a vertical line has no slope

slope CD = 0 (a horizontal line has no slope)

Answer:

AB: Undefined

CD: 0

Perpendicular

Step-by-step explanation:

Slope is the change in y over the change in x

(sometimes called "rise over run")

Formula looks like this:

\(\frac{y_{2} -y_{1}}{x_{2} - x_{1} }\)

First let's find the slope of AB

\(\frac{7-3}{-5 --5 }\)

\(\frac{7-3}{-5 +5 }\)

\(\frac{4}{0}\)

Undefined

Then the slope of CD:

\(\frac{y_{2} -y_{1}}{x_{2} - x_{1} }\)

\(\frac{9 -9}{-10 - 1 }\)

\(\frac{0}{-11 }\)

0

         If they are parallel they will have the same slope, perpendicular lines have negative reciprocals as the slope, and neither is neither

         Comparing the slope of our lines lead us to know that the two lines are perpendicular because AB is vertically up + down and CD is horizontally right + left

I hope this is correct and helps, have a nice day :D

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Answer: the last question at the very bottom

Step-by-step explanation:

the graph is not a scatter plot, so its a line plot .

Answer:

23.75

Step-by-step explanation: