1. Suppose on a sample of Montanans it is found the mean salary is equal to 30,000. When we use a statistic like this to simply describe a sample, this is an example of:



a) an inferential statistic

b) a descriptive statistic

c) a sample median

d) random sampling

e) b and c





2. If we collect observations on 100 people, and measure their IQ, the 100 observations is:



a) a sample

b) a population

c) a sample with likely no variability

d) a or b are possibilities, depending on the scope of the investigation

e) a variable





Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many rows must the matrix have?



10

equal to the number of columns of the matrix

0

a and b

impossible to say without further information











4. If it is universally known in general that all cats have four legs, then the conclusion that your particular cat has four legs is an example of:



inductive inference

deductive inference

statistical inference

d) a mathematical function

e) none of the above





5. Suppose you have values on variable equal to , and wish to compute a measure of variation from the mean. Without knowing what the exact values of the variable are, which of the following measures will necessarily generate a positive number (which is of course different from zero) regardless of the values for ?



a) the sum of absolute deviations from the mean

b) the sum of deviations from the mean

c) the sum of squared deviations from the mean

d) the standard deviation

e) a and c

f) none of the above





6. One common interpretation of the derivative in mathematics is:



a quadratic function

an instantaneous rate of change

the limit of a linear function

none of the above





7. Consider the numbers 1, 2, 3, 4 assigned to values of a variable. The variable being measured is most likely:



a) quantitative

b) qualitative

c) one for which computing the standard deviation would likely be appropriate

d) one for which computing the median would definitely be inappropriate

e) a and c









8. Integration in calculus is generally used for:



computing the rate of change of one variable with respect to another

computing areas under curves

computing areas in rectangles only

none of the above





9. If the mean of some data set is equal to 10, then this necessarily implies:



a) 1/2 of the scores fall above and below the mean of 10

b) the score of 10 must exist in the actual data set of recorded values

c) the variance of the data is probably negative

d) the standard deviation cannot be greater than 10

e) the distribution is normal

f) none of the above





10. If you compute the arithmetic mean, the sum of deviations of scores from that mean are always equal to:



a) 1

b) 0

c) 0 or a positive number

d) a squared number

e) none of the above

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

Answer:

$28.75

15% of $25. is $3.75....add $25.00 + $3.75= $28.75

Answer:

p/12.5 = 70/100

Step-by-step explanation:

a percent is considered out of 100

since you know the total 12.5, that will fit as the whole

Answer:

17 4/7

Step-by-step explanation:

we'll need to divide 123 by 7

123/7= 17 R 4

But she can't have an extra 4 miles out so,

17 4/7

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Answer:

The purchase is greater than $153

Step-by-step explanation:

Answer: its -28

Step-by-step explanation:

i dont know i used a app

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

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

7 = x

Answer:

i will give you the answer

Step-by-step explanation:

but what do you need

do you need intersect,slope,y=mx+b form?

The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

The arc length of the each arc are 14π cm, 95π/6 ft, 7π cm, 39π/4 ft.

What is arc length of a circle?

The arc length formula for a circle is given by L = rθ, where L is the arc length, r is the radius, and θ is the central angle measured in radians.

9) Here angle= 315° and radius= 8cm.

First, we need to convert the angle to radians: 315° × (π/180°) = 7π/4.

Then we can use the arc length formula,

L = 8 × 7π/4 = 14π cm.

10) Here angle = 150° and radius= 19 ft.

First, we need to convert the angle to radians: 150° × (π/180°) = 5π/6.

Then we can use the arc length formula,

L = 19 × 5π/6 = 95π/6 ft

11) Here angle = π/2 and radius= 14 cm.

According to the arc length formula,

L = 14 × π/2 = 7π cm .

12) Here angle= 3π/4 and radius= 13 ft.

According to the arc length formula,

L = 13 × 3π/4 = 39π/4 ft.

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The second term in the binomial expansion of (2r - 3s)¹² is -73728 r¹¹ s option (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

(2r - 3s)¹²

Using nth term of the binomial expansion is:

= C (12, 2-1) (2r)¹²⁻²⁺¹ (-3s)²⁻¹

After solving

= -73728 r¹¹ s

Thus, the second term in the binomial expansion of (2r - 3s)¹² is -73728 r¹¹ s option (A) is correct.

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The average velocity during [1,2] time period is 6cm/s.

This looks like an exercise that's building toward the idea of a derivative.

These calculations are done best with a calculator, but here's how the first interval is used:

Average velocity = (position at 2 - a position at 1) / (2 - 1)

It's really distance divided by time!

Position at t = 2: 4sin(2\(\pi\))+3cos(2\(\pi\))=4(0)+3(1)=3

Position at t = 1: 4sin(\(\pi\))+3cos(\(\pi\))=4(0)+3(-1)=-3

So over the interval [1, 2], the average velocity is \(\frac{3-(-3)}{2-1} =\frac{6}{1} =6\)

∴ Average velocity=6cm/s

I used a spreadsheet to calculate the average velocity over the other intervals and a couple of shorter ones, too.  (See attached image.)

As these intervals get shorter (the right endpoint is approaching 1), the average velocity gets closer and closer to the instantaneous velocity. An estimate would be -12.6.

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Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Considering the box-and-whisker plot, it is found that:

a) 25% of the students scored less than 60.

b) 25% of the students received a score greater than 85.

A box and whisker plot shows three things:

From the plot given in the graph, we have that:

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Answer:

i think it 4

Step-by-step explanation:

good luck ( think it's 4, not 100%)

:)

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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The time it takes to wash has the probability density function,

\(P(X=x) = \begin{cases}\frac1{17-8}=\frac19&\text{for }8\le x\le 17\\0&\text{otherewise}\end{cases}\)

The probability that it takes between 14 and 16 minutes to wash the dishes is given by the integral,

\(\displaystyle\int_{14}^{16}P(X=x)\,\mathrm dx = \frac19\int_{14}^{16}\mathrm dx = \frac{16-14}9 = \frac29 \approx \boxed{0.22}\)

If you're not familiar with calculus, the probability is equal to the area under the graph of P(X = x), which is a rectangle with height 1/9 and length 16 - 14 = 2, so the area and hence probability is 2/9 ≈ 0.22.

Answer:

Slope = 0.75

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

4-1/5-1=3/4=0.75

Answer:

Apples

Step-by-step explanation:

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

2 feet and 3 inches = 27 inches

27 - 9 = 18 inches which also equal to 1 foot and 6 inches

Answer:

Juan's dog = 2 feet 3 inches = 27 inches Peter's

dog = 9 inches so to find how taller Juan's dog

hight is

by

27-9 = 18 inches or 1 feet and 6 inches.

hope I

helped u by my answer

Step-by-step explanation:

Answer:

Hey there!

50 miles = 1 hour

x miles = 2.5 hours

50/1= x/2.5

x=2.5x50

x=125

The car can go 125 miles.

Hope this helps :)

Answer:

125miles

Step-by-step explanation

distance=speed *time

d=50*2.5

d=125m

The length of the rectangle is 10.5 units.

What is perimeter?

Perimeter is the distance of a two-dimensional shape. It is equal to the sum of the lengths of all the sides of the shape. The perimeter is measured in units, such as centimeters, meters, feet, or inches, depending on the unit of measurement used for the dimensions of the shape.

The perimeter of a rectangle is given by the formula:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

In this case, we know that the perimeter is 34 units, and the width is 6.5 units. So we can substitute these values into the formula and solve for the length:

34 = 2l + 2(6.5)

Simplifying, we get:

34 = 2l + 13

Subtracting 13 from both sides, we get:

21 = 2l

Dividing both sides by 2, we get:

l = 10.5

So the equation to determine the length of the rectangle is:

2l + 2w = P

Substituting the known values, we get:

2l + 2(6.5) = 34

Simplifying and solving for l, we get:

2l + 13 = 34

2l = 21

l = 10.5

Therefore, the length of the rectangle is 10.5 units.

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Complete question: The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle.

Answer:

Step-by-step explanation:

As per graph we have:

Total number of spins:

Number of spins excluding a 1:

Required probability:

Answer:

The experimental probability of not spinning a 1 is

Saludos

Answer:

Plzz choose me brainliest

Step-by-step explanation:

Answer:

  5 4/5 or 29/5

Step-by-step explanation:

  5.8 = 58/10 = 29/5 . . . . improper fraction

  5 8/10 = 5 4/5 . . . . . . . . mixed number