what is the value
of y when x = 32

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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Answer:

I would go with the bottom left one but these are very weird

Step-by-step explanation:

Hi!

Your answer would be: 3(or 4, or 5)

but the main answer is 3.

Hope this helps!

Answer:

-3

Step-by-step explanation:

(1+2)/(1-2)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

(1+2) ÷ (1-2) = 3 ÷ -1 = -3

Answer:

y(y-1)

Step-by-step explanation:

the common factor of both of these is y so you divide by y for both of these problems to get

y-1 and then you multiply by y since you took y out

y(y-1)

hopes this helps please mark brainliest

Answer:

y(y-1)

Step-by-step explanation:

hope this helped

Answer:

19-73 19-73 is fine thanks 70-65-46 024 465 8554 48-57

Answer:

its 2x(2x+1)(2x-1) the last choice

Step-by-step explanation:

Answer:

Since the calculated value exceeds the critical value;

we Reject Null hypothesis.

We conclude that, there is no sufficient evidence that The percentage of people who believe they voted for winning candidate is equals to 43% or 0.43

Step-by-step explanation:

Given the data in the question;

308 out of 611 voters are surveyed saying they voted for the candidate that won.

that is;

x = 308

sample size n = 611

Hypothesis;

Null hypothesis            H₀ : p = 43% or 0.43 { The % of people who believe they voted for winning candidate equals 43% }

Alternative hypothesis H₁ : p ≠ 43% or 0.43 { The % of people who believe they voted for winning candidate is not equal to 43% }

Sample proportion p" = x / n = 308 / 611 = 0.504

level of significance ∝ = 0.05

Critical value of Z = \(Z_{\alpha /2\) =  1.96

Test Statistics

z = (p" - p) / √( p(1-p) / n )

we substitute

z = (0.504 - 0.43) / √( 0.43(1-0.43) / 611 )

z = 0.074 / √( 0.2451 / 611 )

z = 0.074 / 0.02

z = 3.7

We compare;

Since the calculated value is exceeds the critical value;

we Reject Null hypothesis.

We conclude that, there is no sufficient evidence that The percentage of people who believe they voted for winning candidate is equals to 43% or 0.43

To determine if triangle XYZ and triangle X'Y'Z' are the same shape and size, we need to compare their corresponding angles and side lengths.

Angle Comparison: Check if the corresponding angles in both triangles are equal. If all three angles of triangle XYZ are congruent to the corresponding angles of triangle X'Y'Z', then they have the same shape. However, this does not guarantee they have the same size.

Side Length Comparison: Compare the lengths of the corresponding sides. If all three sides of triangle XYZ are equal in length to the corresponding sides of triangle X'Y'Z', then they have the same size.

If both the angles and side lengths are equal for the corresponding parts of the triangles, then triangle XYZ and triangle X'Y'Z' are congruent, meaning they are the same shape and size.

It's important to note that without specific measurements or additional information about the triangles, it is not possible to definitively determine if they are the same shape and size.

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Answer:

The BJ Electrical Company

The BJ Electrical Company should hire:

8 master electricians and

22 apprentices

in order to accomplish the project and still meet the contract safety requirements.

Step-by-step explanation:

Number of workers needed = 30

Class of workers:

Master electrician, with per week salary = $750 per worker

Apprentices, with per week salary = $350 per worker

Number of inspection hours required from each master electrician = 3 hours

Total inspection hours for the project = 25 hours

Average number of master electricians needed = 25/3 = 8.333 = 8

Number of each type of worker needed:

Master electricians = 8

Apprentices = 22 (30 - 8)

Cost to be incurred for workers:

Master electricians = $6,000 (8 * $750)

Apprentices =               7,700 (22 * $350)

Total labor cost =      $13,700

9 master electricians and at least 21 apprentices are needed for the one week project.

According to the local Building Safety Council, each master electrician must spend three hours for inspection time during the one week project.

We estimate the required number of master electricians by dividing the total inspection time and the recommended inspection time for each master electrician:

\(n = \frac{25\,\frac{hours}{project} }{3\,\frac{hours}{person} }\)

\(n \approx 9 \,\frac{persons}{project}\)

And the minimum number of hired apprentices is found by subtracting the result found above from least required personnel:

\(x \ge 30 - 9\)

\(x \ge 21\)

9 master electricians and at least 21 apprentices are needed for the one week project.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

12/3=4 ..............

Answer:

y hfaczdg eek Robocop teardrop outbound liquidz

(a) 95% CI: (1.520, 1.600) g, (b) 98% CI: (1.510, 1.610) g, (c) confidence level cannot be determined, (d) 385 nails needed for 95% CI with 0.01 g precision, (e) 627 nails needed for 98% CI with 0.01 g precision.

(a) The 95% confidence interval for the mean weight of the nails is (1.520, 1.600) g.

(b) The 98% confidence interval for the mean weight of the nails is (1.510, 1.610) g.

(c) The confidence level of the interval (1.54, 1.58) is not given explicitly, but we can say that it is a 100(1 - α)% confidence interval, where α is the probability of making a Type I error. Without knowing α, we cannot determine the confidence level.

(d) To have a 95% confidence interval that specifies the mean to within 0.01 g, we need to use the formula n = (zα/2 * σ / E)², where zα/2 is the critical value for a 95% confidence interval (1.96), σ is the standard deviation (0.1), and E is the margin of error (0.01). Solving for n, we get n = 384.16. Therefore, we need to sample at least 385 nails.

(e) To have a 98% confidence interval that specifies the mean to within 0.01 g, we use the same formula as in part (d), but with zα/2 = 2.33 (the critical value for a 98% confidence interval). Solving for n, we get n = 626.12. Therefore, we need to sample at least 627 nails.

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The level of measurement of the data set is interval.

The reasoning behind this is explained below.

The level of measurement refers to the type of data that can be obtained from a variable, which can be categorical or numerical. Categorical data are those that can be placed in categories, whereas numerical data are those that can be measured or counted.

The scale of measurement can be nominal, ordinal, interval, or ratio.

The data set that includes the top five books on the bestseller list last year is an example of interval level of measurement. This is because the data can be ordered, and the differences between the data entries are meaningful, but the zero entry is not an inherent zero.

The books on the list can be arranged in order from one to five, which makes it possible to order them. Additionally, the differences between the rankings of each book on the list are meaningful. However, there is no inherent zero point on the list of books. The zero entry does not indicate the complete absence of something, but rather a lack of sales in comparison to other books on the list.

Therefore, the data set can be classified as interval level of measurement.

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Answer:

Step-by-step explanation:

2x6 + x3 - x5 - 4x3

Solving like terms

2x6 - x5 - 3x3

Option B is the correct answer

Answer:

y = 10(3)x

Step-by-step explanation:

The exponential function that can represent the population of rabbits after [x] years is y = 10(3)ˣ.

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is rate of increase of a rabbit's population.

The exponential function that can represent the population of rabbits after [x] years can be written as -

y = 10(3)ˣ

Refer to the graph attached.

Hence, the exponential function that can represent the population of rabbits after [x] years is y = 10(3)ˣ.

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Answer: 3.822

Step-by-step explanation: 9/100 × 4.2 = 0.378

Deduct from 4.2

Answer:

x + 7y = 34

Step-by-step explanation:

the altitude through C meets the opposite side AB at right angles

calculate the slope of AB using the slope formula

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

with (x₁, y₁ ) = A (2, - 4 ) and (x₂, y₂ ) = B (3, 3 )

\(m_{AB}\) = \(\frac{3-(-4)}{3-2}\) = \(\frac{3+4}{1}\) = \(\frac{7}{1}\) = 7

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{7}\) , then

y = - \(\frac{1}{7}\) x + c ← partial equation of the altitude

to find c substitute C (- 1, 5 ) into the partial equation

5 = \(\frac{1}{7}\) + c ⇒ c = 5 - \(\frac{1}{7}\) = \(\frac{35}{7}\) - \(\frac{1}{7}\) = \(\frac{34}{7}\)

y = - \(\frac{1}{7}\) x + \(\frac{34}{7}\) ( multiply through by 7 )

7y = - x + 34 ( add x to both sides )

x + 7y = 34 ← equation of altitude in standard form

according to question the third vertex is (42/5,-1).

Using the shoelace formula, the area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is given by:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

In this case, we have two vertices (-2, 2) and (-5,-3), and we need to find the third vertex (x,-1) that makes the area of the triangle 14.5 square units.

Let's first find the length of the base of the triangle, which is the distance between the two given vertices:

sqrt[(-5 - (-2))^2 + (-3 - 2)^2] = sqrt[3^2 + 5^2] = sqrt(34)

The height of the triangle can be found by using the formula for the area of a triangle:

Area = 1/2 * base * height

14.5 = 1/2 * sqrt(34) * height

height = 29/ (sqrt(34))

Now, we can use the formula for the distance between two points to find the length of the line segment from (-5,-3) to the point (x,-1):

sqrt[(-5 - x)^2 + (-3 - (-1))^2] = sqrt[(x + 5)^2 + 4]

The area of the triangle can also be expressed in terms of the third vertex (x,-1) as follows:

Area = 1/2 * |(-2)(-3 - (-1)) + (-5)(-1 - 2) + x(2 - (-3))|

14.5 = 1/2 * |6 + 15 - 5x|

29 = |21 - 5x|

5x = -8 or 5x = 42

Since x is a positive value, we have:

x = 42/5

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Considering the definition of parallel line, the equation of parallel line is y= 3/4x -3.

A linear equation o line can be expressed in the form y = mx + b

where:

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope m and different value of ordinate to the origin b.

In this case, the line is -3x+4y=12. Expressed in the form y = mx + b, you get:

4y=12 + 3x

y= (3x+12)÷ 4

y= 3/4x +3

where:

Two lines are parallel if they have the same slope. So, in this case, the parallel line has a slope of 3/4 and has a form of: y= 3/4x + b

The line passes through the point (-4, -6). Replacing in the expression for parallel line:

-6= 3/4× (-4) + b

-6= -3 + b

-6 +3 = b

-3= b

Finally, the equation of parallel line is y= 3/4x -3.

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Answer: stage 1

Step-by-step explanation:

It is labeled with the state number one, since all of them are si metric numbers 

Answer:

I suppose is division multiplication subtraction then addition

Step-by-step explanation:

Answer:

4.30m/hr

Step-by-step explanation:

2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30

In meters per hour the speed is 470 meters per hour.

We have an object moving at a speed of 2 feet every 8.5 minutes.

We have to express this speed in meters per hour.

1 feet = 3.29 meters

1 hour = 60 minutes → 1 minute = \(\frac{1}{60}\) hour = 0.017 hr

According to question - We have :

Speed = 2 feet in 8.5 minutes

We know -

1 feet = 3.29 meters

2 feet = 2 x 3.29 = 6.58 meters

and

1 minute = 0.017 hr

8.5 minutes = 8.5 x 0.017 = 0.14 hr

Now -

In 0.014 hr, distance covered = 6.58 meters

In 1 hr, distance covered will be - \(\frac{6.58}{0.014}\) = 470 meters/hour

Hence, in meters per hour the speed is 470 meters per hour.

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Answer: 1.5 ft

Step-by-step explanation:

You can set up a proportion since the triangle are similar:

3 / 12 = x / 6

meaning x=1.5 ft

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

for the first one let's write our equation

(13x+2)+(3x-4)+(5x-7)=180

Combine like terms

21x-9=180

Add 9 to both sides

21x=189

Divide both sides by 21

x=9

Now for the second one

Let's write our equation

(19x-18)+(7x+1)+(10x-9)=180

Combine like terms

36x-26=180

Add 26 to both sides

36x = 206

Divide both sides by 36

x = 5.72222...

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

2.92mph Assuming 1 2 hours is 1.2 hours

Step-by-step explanation:

Dividing 1.2 hours by itself = 1 hour

Therefore, by dividing 3.5 by 1.2, you will get the mph that he is walking.

3.5/1.2=2.9166 or 2.92mph.

Answer:

false

Step-by-step explanation:

False.

The statement is almost correct, but it is missing one important detail. The median in a frequency distribution is determined by identifying the value that corresponds to a cumulative frequency of 50% (not a cumulative percentage of 50%).

The cumulative frequency is the running total of the frequencies as you move through the classes in the frequency distribution. Once you reach a cumulative frequency of 50%, you have identified the median.