A dietician wants to discover if there is a correlation between age and number of meals eaten outside the home. The dietician recruits participants and administers a two-question survey: (1) How old are you? and (2) How many times do you eat out (meals not eaten at home) in an average month? Perform correlation analysis using data set: "Ch 11 – Exercise 06A.sav" posted in the Virtual Lab. Follow a through d
a. List the name of the variables and the level of measurement
b. Run the criteria of the pretest checklist for both variables(normality, linearity, homoscedasticity), document and discuss your findings.
c. Run the bivariate correlation, scatterplot with regression line, and descriptive statistics for both variables and document your findings (r and Sig. [p value], ns, means, standard deviations)
d. Write a paragraph or two abstract detailing a summary of the study, the bivariate correlation, hypothesis resolution, and implications of your findings.

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer:

\(9\frac{1}{8}\)

Step-by-step explanation:

\(6\frac{1}{2} + 2\frac{5}{8} =\\\\ \\6+2 = 8\\\\\\8 \frac{1}{2} + \frac{5}{8} \\\)

lcm of 2 and 8 is 8

\(8\frac{4+5}{8} = 8\frac{9}{8} = 9\frac{1}{8}\\\)

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

\(\frac{15}{18}=\frac{w}{30}\) and cross multiply.

18w = 450 so

w = 25

Answer:

3 seconds

proofi took the test

The object reaches its maximum height after 3 seconds.

The correct option is 3 seconds.

To find the time at which the object reaches its maximum height, we need to determine the vertex of the parabolic function\(h(t) = -16t^2 + 96t + 6\) . The vertex form of a parabola is given by \(h(t) = a(t - h)^2 + k\), where (h, k) represents the vertex.

In this case, a = -16, so the vertex is given by t = -b/2a. Plugging in the values, we get t = -96/(2 x (-16)) = 96/32 = 3 seconds.

Therefore, the object reaches its maximum height after 3 seconds.

Option B, 3 seconds, is the correct answer.

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The complete Question:

The function \(h(t) = -16t^2 + 96t + 6\) represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.

After how many seconds does the object reach its maximum height?

A. 2 seconds

B. 3 seconds

C. 6 seconds

D. 9 seconds

Answer:

1/4 5/12 1/2 2/3 3/4= smallest to biggest

Step-by-step explanation:

You could change all the denominator to twelve and therefore change the numerators also which will then help you to find the smallest to largest

Step-by-step explanation:

Mid-point = [ ((x₁ + x₂) ÷ 2)   ,    ((y₁ + y₂) ÷ 2) ]

                =  [ (6 + (-2)) ÷ 2] , [(1 + (-5)) ÷ 2]

               = ( 2 , -2 )

Answer:

360° 2π rad 6.283185 rad

Answer:

MAR = 71°

Step-by-step explanation:

MAE 23°+ EAR 48°= MAR71°

Answer:

The answer is  B

\(\frac{1}{x^{2} -4x+3}\)

Step-by-step explanation:

Answer:

32$ Each

Step-by-step explanation:

15+13=28

92-28= 64

64/2 = 32$

Answer:

Step-by-step explanation:

The unity gain frequency of this amplifier is 6 MHz.

To find the unity gain frequency, we need to use the Gain-Bandwidth Product (GBP) formula, which states that GBP = Gain × Bandwidth. In this case, we have an amplifier with a gain of 40 and a bandwidth of 150 kHz.

1. Convert the bandwidth to Hz: 150 kHz = 150,000 Hz
2. Multiply the gain by the bandwidth: 40 × 150,000 Hz = 6,000,000 Hz
3. Convert the result to MHz: 6,000,000 Hz = 6 MHz

Conclusion: Based on the GBP formula, the unity gain frequency of this amplifier is 6 MHz.

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Answer:

Step-by-step explanation:

Fand the most part in 2? the best. I think you are awesome. edit! edit on your post? edit! I cut off a bit of payer

2 and 3 has a multiplicative inverse of -3 and 2, which is 2. A number that, when multiplied by the inputted number, produces the result 1 is said to be the multiplicative inverse of that number.

When a number is multiplied by another, the result is 1, this is known as the multiplicative inverse of the original number . It is the reciprocal of a number per multiplicative inverse definition. A-1 or is used to denote the multiplicative inverse of a number "a".

According to the multiplicative inverse property, a multiplies with its reciprocal, 1/a, to get 1, for any number a. It follows that 1/a is a number's multiplicative inverse. The multiplicative inverse of 5, when applied to the integer 5, is 1/5, according to this characteristic. Dividing 1 by a real number yields the multiplicative inverse of that number. One fifth (1/5, or 0.2) and one-quarter (0.25, or 1 divided by 0.25, respectively) are examples of reciprocals.

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Answer:

cos4θ=8cos^4θ−8cos^2θ+1

Step-by-step explanation:

To write the given system of equations as a matrix equation, we can rearrange the equations and identify the coefficient matrix, the variable matrix, and the constant matrix.

The system of equations:

3a + 5b = 0

a + b = 2

Rearranging the equations, we have:

3a + 5b = 0 --> 3a + 5b - 0 = 0

a + b = 2 --> a + b - 2 = 0

Now, we can express this system as a matrix equation:

Coefficient Matrix * Variable Matrix = Constant Matrix

The coefficient matrix consists of the coefficients of the variables:

[3 5]

[1 1]

The variable matrix consists of the variables:

[a]

[b]

The constant matrix consists of the constants:

[0]

[2]

Therefore, the matrix equation representing the given system is:

[3 5] [a] [0]

[1 1] * [b] = [2]

The coefficient matrix is [3 5; 1 1], the variable matrix is [a; b], and the constant matrix is [0; 2].

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The solution of the quadratic equation using the quadratic formula is

x = 4 + 2√6 or  4 - 2√6

The quadratic formula is a formula used to solve quadratic equations, which are equations of the form ax² + bx + c = 0 where a, b, and c are constants. The quadratic formula is:

x = (-b±√(b²-4ac))/(2a)

Given: x² - 8x - 84 = 0

Here, a = 1, b = -8 and c = -84

x = (-b±√(b²-4ac))/(2a)

x = [-(-8)±√((-8)²-[4×1×(-8)])]/(2a)

x = [8±√(96)]/2

x = (8± 4√6)/2

x = 4 ± 2√6

x = 4 + 2√6 or  4 - 2√6

Thus, the solution is x = 4 + 2√6 or  4 - 2√6

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Explanation

In function notation, to shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right.

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

So for the given question

For the given question

So for the first one, when the parent function is shifted 4 units to the left, we will have

Then the second translation of Shifting 2 units up

we will have

Thus, we will have our answer as

Answer:

-84

Step-by-step explanation:

From the figure shown we notice that the angles 127° and 2 are supplementary, that means that:

We also notice that

and

furthermore

And

so we have the system of equations:

Solving for the angle 1 in the fourth equation we have

plugging this value in the second equation we have

Plugging this value in the third equation we have

The correct statements regarding the data-set are given as follows:

The consistency of the data-set is obtained by the IQR of each data-set, subtracting Q3 by Q1, hence:

Due to the lower IQR, the clerks from store A were more consistent.

For mean/median, the lower the mean and median, the faster they were.

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Answer:

the link doesn't work.....

a)  a calculator, we can evaluate this as: log3(6) ≈ 1.631

b) log5(258) ≈ 0.431 + 2.107 ≈ 2.538.  To find log3(6), we can use the change of base formula to convert it to a logarithm with a base that our calculator can handle.

(a) Using the change of base formula, we have:

log3(6) = log(6)/log(3)

Using a calculator, we can evaluate this as:

log3(6) ≈ 1.631

(b) If we perform the calculation in part (a) using In (natural logarithm) in place of log, we will not get the same result. We need to use the correct base for the logarithm.

The logarithm of a number raised to a power is the same as the power times the logarithm of the number. So for any base b, we have:

logb(x^n) = n * logb(x)

In the case of log5(258), we have:

log5(258) = log5(2*129) = log5(2) + log5(129)

We can use the change of base formula to evaluate these logarithms as:

log5(2) ≈ 0.431

log5(129) ≈ 2.107

Therefore,

log5(258) ≈ 0.431 + 2.107 ≈ 2.538

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Answer:

6.300

Step-by-step explanation:

it is not 0.500 or above so you would round down to the nearest thousandth

Answer:

x=-3 is not a solution

Step-by-step explanation:

well, lets plug it and and see!

6(-3)-19=3(-3)-10

-18-19=-9-10

-37=-19

-37 DOES NOT equal -19.

so x=-3 is not a solution

hope this helped! :)

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

The bottom 80% of the values are those less than approximately 72.48.

We can use the Z-score formula to find the cutoff value for the bottom 80% of the distribution. The Z-score formula is:

Z = (X - μ) / σ

where Z is the standardized score, X is the raw score, μ is the mean, and σ is the standard deviation.

To find the cutoff value for the bottom 80% of the distribution, we need to find the Z-score that corresponds to the 20th percentile, which is the value below which 80% of the values lie. We can look up this Z-score in a standard normal table, or use a calculator.

Using a standard normal table, we find that the Z-score corresponding to the 20th percentile is approximately -0.84. Substituting the given values into the Z-score formula and solving for X, we get:

-0.84 = (X - 75) / 3

-2.52 = X - 75

X = 72.48

Therefore, the bottom 80% of the values are those less than approximately 72.48.

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The slopes of the two lines are not equal, they are neither parallel nor perpendicular to each other.

Let's find the slopes of both lines using the slope formula:

For the line passing through (-2,9) and (8,-2):

slope = (y2 - y1)/(x2 - x1)

slope = (-2 - 9)/(8 - (-2))

slope = -11/10

For the line passing through (1,-8) and (34,-38):

slope = (y2 - y1)/(x2 - x1)

slope = (-38 - (-8))/(34 - 1)

slope = -30/33

Two lines are parallel if and only if they have the same slope.

Two lines are perpendicular if and only if the product of their slopes is -1.

Therefore, since the slopes of the two lines are not equal, they are neither parallel nor perpendicular to each other.

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