An employer asks the survey question “How much money do you spend on gasoline per week to get to work?” of her employees that drive to work. Which best describes why she chose to only ask the employees that drive to work rather than all of her employees?
A. The employees that drive to work were the target of her survey.
B. The employees that drive to work adequately represented the sample.
C. All employees were adequately represented by the sample that drives to work.
D. All employees were too difficult to survey because the group was too large.

Answer:

|-8|=8

Step-by-step explanation:

Answer:

What are the equations? The answer would be 8.  Its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

SOLVING

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6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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Answer:

The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.

The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.

Therefore, the square root of 37 is between the integers 6 and 7.

Answer:

8 pounds

Step-by-step explanation:

How many pounds of meat?

32 x .025 = 8

The number of fishes in the Goff family is represented by a bar graph

Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. Sometimes referred to as a column chart, a vertical bar graph.

Discrete, continuous, or categorical data are typically organized into class intervals in bar charts. They are made up of a set of marked horizontal or vertical bars and an axis.

Given data ,

Let the bar graph be represented as A

Now , the value of A is

Let the total number of fishes in the Goff family be n = 18 fishes

Let the number of black fishes = 10 fishes

Let the number of white fishes = 5 fishes

Let the number of gold fishes be = 3 fishes

Now , the total number of fishes in the Goff family is represented by a bar graph

And , it is a continuous categorical data

Hence , the bar graph is plotted

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Answer:

Step-by-step explanation:

(k^3-7k+2) - (k^2-12)

yw

Answer:

\(k^{3} -k^{2}-7k+14\)

Step-by-step explanation:

\((k^{3} -7k+2)-(k^{2}-12)\)

Distribute the negative:

\((k^{3} -7k+2)-k^{2}+12\)

Remove parentheses:

\(k^{3} -7k+2-k^{2}+12\)

Combine like terms:

\(k^{3} -k^{2}-7k+14\)

The y-intercept in the equation is 10. This is the initial height of the flower.

An exponential equation can be described as an equation with exponents. The exponent is usually a variable. When an exponential function is drawn on a coordinate graph, it is usually nonlinear because the slope is not constant.

The general form of exponential equation is f(x) = \(e^{x}\)

Where:

The y-intercept of an exponential function is the value of y when x is zero. It is the point where the graph intersects the y-axis. The y-intercept represents the initial height of the flower.

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Answer: 2350 milligrams of sodium are recommended for the whole day.

Step-by-step explanation:

Let x= Quantity of sodium are recommended for the whole day.

As per given, we have

20% of x = 470 milligrams

⇒ 0.20x = 470 milligrams  [20%=0.20]

\(\Rightarrow\ x=\dfrac{470}{0.20}\)  [Divide both sides by 0.20]

\(\Rightarrow\ x= 2350\)

Hence, 2350 milligrams of sodium are recommended for the whole day.

Answer:

The fraction can be written as 43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = \(\frac{1}{2}\) (110 + 40)° = 0.5 × 150° = 75°

Answer:

okay so the answer is 3200 but i dont know which one i think it b

Step-by-step explanation:

The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Answer:

D. 14.4

Step-by-step explanation:

In similar polygons, corresponding sides are proportional. We can write the proportion:

\(\frac{l-A}{l-B} =\frac{w-A}{w-B}\)

l-A is the length of A, l-B is the length of B, w-A is the width of A, and w-B is the width of B. We are given the ratio of the lengths is 2:5, so we can substitute it in:

\(\frac{2}{5} =\frac{w-A}{36}\)

We can cross multiply:

72 = 5w-A

w-A = 14.4

Answer:

K=-2

Step-by-step explanation:

-3 = 5k + 7

Subtract 7 to the other side

-3 -7 = 5k

-10 = 5k

-2 = k

The side lengths of the real object will be 50 inches and 60 inches.

The scale factor is the ratio of the actual size of the image to the new size of the image. It is used to Map the objects like if you want to increase or decrease the size without changing the original shape of the image it is done by the scale factor.

The given scale factor is 5:1, which means that the dimensions of the scale drawing are 1/5 of the dimensions of the real object.

To find the side lengths of the real object, we can use the ratio of the dimensions in the scale drawing and the real object.

For example, the length of the real object can be found by multiplying the length of the scale drawing by the scale factor:

Real object length = Scale drawing length x Scale factor

Real object length = 10 in x 5

Real object length = 50 in

Similarly, the width of the real object can be found using the same method:

Real object width = Scale drawing width x Scale factor

Real object width = 12 in x 5

Real object width = 60 in

Therefore, the side lengths of the real object are 50 inches and 60 inches.

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Answer: 1 in 2 chance

Step-by-step explanation:

9514 1404 393

Answer:

  sin -12/13

Step-by-step explanation:

You can use the identity ...

  tan = sin/cos

to solve for sine:

  sin = cos·tan

  sin = (-5/13)(12/5) =

  sin -12/13

Answer:

25 shaded tiles and 15 white tiles

Step-by-step explanation:

Added up these all make 40 tiles, making them the only answer. Hope this helps.

common factor 15a^(9/4) - 21a^(9/2) = 3a(5a^(5/4) - 7a^(7/2))

To factor out the common factor of 3a from 15a^(9/4) - 21a^(9/2), we need to find the highest power of a that is a common factor of both terms. In this case, that is a^(9/4).

To factor out 3a, we divide both terms by 3a, which gives us:

15a^(9/4) / (3a) - 21a^(9/2) / (3a)

Simplifying this expression gives:

5a^(9/4) - 7a^(9/2)

So the common factor of 3a has been factored out, and the remaining expression is 5a^(9/4) - 7a^(9/2).
To factor out the common factor of 3a from the given expression 15a^(9/4) - 21a^(9/2), you need to divide each term by 3a:

15a^(9/4) / 3a = 5a^(5/4)
21a^(9/2) / 3a = 7a^(7/2)

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Answer:

Step-by-step explanation:

(-2x - 10) − (10x² + 3)

= -2x - 10 − 10x² - 3

= -10x² - 2x - 13

=13.62

- We are given the interarrival time (a = 15 min), service time (p = 20 min), number of servers (m = 3 people), standard deviation of interarrival time (15 min) and standard deviation of service time (60 min). - Therefore, the coefficient of variation of arrival times is 15 / 15 = 1 and the coefficient of variation of service times is 60 / 20 = 3. Moreover, the utilization is 20 / (15 x 3) = 0.4444. Therefore, the average time in the queue is 6.6667 x 0.4086 x 5.0 = 13.6211 minutes, or 13.62 minutes rounded to two decimals

- We are given the interarrival time (a = 15 min), service time (p = 20 min), number of servers (m = 3 people), standard deviation of interarrival time (15 min) and standard deviation of service time (60 min). - Therefore, the coefficient of variation of arrival times is 15 / 15 = 1 and the coefficient of variation of service times is 60 / 20 = 3. Moreover, the utilization is 20 / (15 x 3) = 0.4444. Therefore, the average time in the queue is 6.6667 x 0.4086 x 5.0 = 13.6211 minutes, or 13.62 minutes rounded to two decim

Answer:

with?

Step-by-step explanation:

There are at least two group means that are significantly different from one another, according to the alternative hypothesis (H a). The alternative hypothesis is adopted if the outcome is statistically significant.

You can use ANOVA to determine whether differences between data sets are statistically significant. It functions by examining the levels of variance present within each group using samples drawn from each.

The likelihood that the mean of a sample taken from the data will be different owing to chance increases if there is a lot of variance (spread of data away from the mean) among the data groups.

In addition to examining the variance within the data groups, ANOVA also considers sample size (the smaller the sample, the lower the likelihood that outliers will be randomly selected from it) and sample mean differences (the greater the difference between the sample means, the greater the likelihood that an outlier will be randomly selected from it).

hence, The alternative hypothesis is adopted if the outcome is statistically significant.

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Refer to the attachments!!~

\(\rule{300pt}{3pt}\)

The exact value is found by making use of order of operations. The

functions can be resolved using the characteristics of quadratic functions.

Correct responses:

\(\displaystyle i. \hspace{0.1 cm} \underline{ f(x) = 2 \cdot \left(x - 1.25 \right)^2 + 4.875 }\)

ii. The function has a minimum point

iii. The value of x at the minimum point, is 1.25

iv. The equation of the axis of symmetry is x = 1.25

First part:

The given expression, \(\displaystyle \mathbf{ 1\frac{4}{7} \div \frac{2}{3} -1\frac{5}{7}}\), can be simplified using the algorithm for arithmetic operations as follows;

Second part:

y = 8 - x

2·x² + x·y = -16

Therefore;

2·x² + x·(8 - x) = -16

2·x² + 8·x - x² + 16 = 0

x² + 8·x + 16 = 0

(x + 4)·(x + 4) = 0

y = 8 - (-4) = 12

Third part:

(i) P varies inversely as the square of V

Therefore;

\(\displaystyle P \propto \mathbf{\frac{1}{V^2}}\)

\(\displaystyle P = \frac{K}{V^2}\)

V = 3, when P = 4

Therefore;

\(\displaystyle 4 = \frac{K}{3^2}\)

K = 3² × 4 = 36

\(\displaystyle V = \sqrt{\frac{K}{P}\)

When P = 1, we have;

\(\displaystyle V =\sqrt{ \frac{36}{1} } = 6\)

Fourth Part:

Required:

Solving for x in the equation; 2·x² + 5·x  - 3 = 0

Solution:

The equation can be simplified by rewriting the equation as follows;

2·x² + 5·x - 3 = 2·x² + 6·x - x - 3 = 0

2·x·(x + 3) - (x + 3) = 0

(x + 3)·(2·x - 1) = 0

Fifth part:

The given function is; f(x) = 2·x² - 5·x + 8

i. Required; To write the function in the form a·(x + b)² + c

The vertex form of a quadratic equation is f(x) = a·(x - h)² + k, which is similar to the required form

Where;

(h, k) = The coordinate of the vertex

Therefore, the coordinates of the vertex of the quadratic equation is (b, c)

The x-coordinate of the vertex of a quadratic equation f(x) = a·x² + b·x + c,  is given as follows;

\(\displaystyle h = \mathbf{ \frac{-b}{2 \cdot a}}\)

Therefore, for the given equation, we have;

\(\displaystyle h = \frac{-(-5)}{2 \times 2} = \mathbf{ \frac{5}{4}} = 1.25\)

Therefore, at the vertex, we have;

\(k = \displaystyle f\left(1.25\right) = 2 \times \left(1.25\right)^2 - 5 \times 1.25 + 8 = \frac{39}{8} = 4.875\)

a = The leading coefficient = 2

b = -h

c = k

Which gives;

\(\displaystyle f(x) \ in \ the \ form \ a \cdot (x + b)^2 + c \ is \ f(x) = 2 \cdot \left(x + \left(-1.25 \right) \right)^2 +4.875\)

Therefore;

ii. The coefficient of the quadratic function is 2 which is positive, therefore;

iii. The value of x for which the minimum value occurs is -b = h which is therefore;

iv. The axis of symmetry is the vertical line that passes through the vertex.

Therefore;

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Answer:

x = 29

Step-by-step explanation:

Added together equals to 180 degrees. Write out the equation:

x + 35 + 4x = 180

5x + 35 = 180 (Add the x together)

5x = 145 (Minus both sides by 35)

x = 29

Answer:

1) Given

2) Definition of Midpoint

4) Substitution PoE

5) 4x=16

6) Divison PoE

Step-by-step explanation:

1) is given because it is given.

2) Should be definition of midpoint because a midpoint bisects a line, meaning both sides are congruent.

4) is substitution because, like aforementioned, AC=6x and CD=2x+16, so substitute those numbers in the equation.

5) is 4x=16 because that's what happens when you subtract 6x-2x.

6) should be division PoE because to isolate x you need to divide by 4.    

In a unit vector notation, the net force on the loop is (3.2×10⁻³ N)​​

Vector:

In math vector is the object containing both magnitude and direction

Given,

In the figure, a long straight wire carries a current i1​=30A  and a rectangular loop carries current i2​=20A. Take the dimensions to be a=1 cm, b = 8cm and L = 30cm.

Here we need to find the unit-vector notation for the net force on the loop due to i1​.

Here let's divide the loop into 4 parts i.e, they are witten as,

=> 1−2 , 2−3 , 3−4 , and 4−1

Then the force F on a wire of length L carrying current I in magnetic field of strength B (constant) is written as,

=> F=L(I×B)

Now, the force on part  2−3  and  4−1  is equal but opposite , hence cancelled, so the remaining are

⟹F2−3​+F4−1​=0

Therefore, Fnet​=F1−2​+F3−4​

Then the value of the net force is

=> (3.2×10⁻³ N)​​

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The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer: 24.95= 8x + 6.95

Step-by-step explanation:

24.95= 8x + 6.95

-6.95 -6.95

18 = 8x

/8 /8

x= 2.25

8(2.25) + 6.95 = 24.95

They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning

Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.

Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.

On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.

Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.

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