A politician who is running for the office of governor of a state with 7 million registered voter commissions a survey. In the survey, 55% of the 10,000 registered voters interviewed say they plan to vote for her. The population of interest is the:

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

k = 2

Step-by-step explanation:

the dilation k is the scale factor. A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. To find the scale factor k, we will compare the original points with their transformation

Point R is at (-1,2), and R' is at (-2,4).

divide the ys: 4/2 =2

divide the xs: -2/-1 =2

therefore the scale factor is 2

Answer:

\(\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{18}{24} \)

49^2m-m : Not equivalent

7^2m-2m : Not equivalent

7^2m-m : Not equivalent

This is actually a trick question. All of the following are actually false statements. Want to know why? Let me show you.

For exponents, if you are dividing a number to some power (i.e 5^3) by the SAME number to a different power (i.e 5^2), then the expression is 5^3-2 or 5^1 = 5. This is true for any number a such that a^b ÷ a^c = a^b-c.

Since 7 and 49 are not the same number, this rule does not apply and thus cannot be simplified any further.

Let me prove why. 5^3 = 125, and 5^2 = 25, and 125 ÷ 25 = 5. This is also the same as 5^3-2 = 5^1 = 5. We just proved this as so.

But, what about 7 and 49, or 2 different numbers. Well it doesn't apply. 7^3 = 343, and 49^2 = 2401, and 343 ÷ 2401 ≈ 0.14. Thus, this is NOT equal to 7^3-2 which is 7. We just proved that a^y ÷ b^z ≠ a^y-z. Congratulations!

Hope this helped!

Answer:

10 1/6

Step-by-step explanation:

1. 9 7/6 improper = 61/6

2. Simplify

61/6 (divide and see how many times 6 can go into 61) = 10 1/6

Answer:

-2

Step-by-step explanation:

a negative divided by a negative is a positive

Answer:

n = -2

Step-by-step explanation:

-6/n = 3

multiply n on both sides

-6 = 3n

divide 3

-2 = n

n = -2

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

\(H_0:\mu = 16\)

\(H_a:\mu>16\)

The test statistics will be:

⇒ \(z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }\)

By putting the values, we get

⇒    \(=\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }\)

⇒    \(=\frac{\frac{0.06}{0.24} }{\sqrt{96} }\)

⇒    \(=2.45\)

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ \(p-value< \alpha\)

Thus the above is the correct answer.

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

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Answer:

Less

Step-by-step explanation:

Interpreting this, total is 40, so if you are splitting that with multiple people, it can't be more than 40.

Answer:

Step-by-step explanation:

first, lets first convert 2ft 6in to ft:

since ft=12 in, 6=0.5 ft

thus, the height of the birdbath is 2+0.5 ft=2.5ft

now, lets convert 18 inch shadow to ft:

since ft=12 in, 18=1.5 ft

now, we can use the following proportions to solve this problem:

2.5/1.5=x/90

1.5x=90*2.5

1.5x=225

x=225/1.5

x=150

Thus, the oak tree in the garden is 150 ft tall

Answer:

If the candy was in whole of in peices

Step-by-step explanation:

A dependant variable is something you do to change a result, so breaking tha candy would be the dependant variable because they werre trying to see if breaking the candy would lead to diffrent results.

Just so you remember for next time:

an Indipendent variable is something that is constant that we can not change

and a dependent variable is something that we change to get a diffrent response.

a) Y=38.6594-5.4198x; b) 39.1% explained variation; c) Y=44.9379-5.9522x1-1.2758x2-2.0102x3; d) 49.9% explained variation; e) Y=45.2478-6.1081x1-0.9945x2-2.5692x3+0.9963x4; f) 53.1% .

a) The estimated regression equation for predicting fuel efficiency for highway driving is Y = 38.6594 - 5.4198x, where x represents the engine's displacement in liters.

b) The estimated regression equation explains 39.1% of the variation in the sample values of HwyMPG.

c) The estimated regression equation that includes the dummy variables ClassMidsize and ClassLarge is Y = 44.9379 - 5.9522x1 - 1.2758x2 - 2.0102x3, where x1 represents engine's displacement, x2 represents variable ClassMidsize, and x3 represents variable ClassLarge.

d) The estimated regression equation with the added dummy variables explains 49.9% of the variation in the sample values of HwyMPG.

e) The estimated regression equation that includes the dummy variable FuelPremium is Y = 45.2478 - 6.1081x1 - 0.9945x2 - 2.5692x3 + 0.9963x4, where x1 represents engine's displacement, x2 represents variable ClassMidsize, x3 represents variable ClassLarge, and x4 represents variable FuelPremium.

f) The estimated regression equation with all three dummy variables explains 53.1% of the variation in the sample values of HwyMPG.

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The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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The depreciation for the first year is $28,800.

If the equipment is sold for $8,860 at the end of year 2, the loss on the sale is $-14,180.

Depreciation is the method used in expensing the cost of an asset. The double declining method is an exponential method that is used to expense the cost of an asset.

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Depreciation factor for the double declining method = 2 x (1/useful life)

Depreciation expense in year 1 = (2 / 10) x $36,000 = $7,200

Book value at the beginning of year 2 = cost of the asset - depreciation in year 1

$36,000 - $7,200 = $28,800

Depreciation in year 2 = (2/10) x  $28,800 = $5,760

Book value at the end of year 2 = book value at the end of year 1 - depreciation in year 2

$28,800 - $5,760 = $23,040

Loss = sales price - cost price

Loss = $8,860 - $23,040 = $-14,180

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Answer:

1244 DCD

Step-by-step explanation:

Answer:

heyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

Step-by-step explanation:

The quadratic formula is given as;

Therefore, for the given quadratic formula, identify the values for a,b, and c.

a=1, b=2, and c=-4.

Hence, the equation that could be solved using the application above:

The number that is most likely an irrational number is given as follows:

D. 4.279458105...

Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.

Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.

For this problem, the option D gives the irrational number, as it is the lone non-repeating decimal. For the others, we have that:

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Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

Answer:

(y+2) / y

Step-by-step explanation:

Just do what is says     f(x ) = (y+2) / y

Answer:

g i did that before

Step-by-step explanation:

Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

blue red blue red like this

The area of ΔQRS is 26.10 square units.

What is triangle?

A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.

To find the area of \($\triangle QRS$\), we can use the formula:

\($Area = \frac{1}{2} \times base \times height$\)

where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.

First, we need to find the length of side \($QR$\). We can use the Law of Cosines:

\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)

where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:

\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)

\($QR \approx 8.02$\)

Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:

\($\sin(R) = \frac{opposite}{hypotenuse}$\)

\($\sin(57^\circ) = \frac{height}{8.02}$\)

\($height \approx 6.51$\)

Now we can find the area of the triangle:

\($Area = \frac{1}{2} \times QR \times height$\)

\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)

\($Area \approx 26.10$\) square units

Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.

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If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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Answer:

Domain is all real numbers

Range is (3, ∞) or y > 3

Step-by-step explanation:

Answer:

4 + 1/3 = 13/3

4/5 + 1/3 = 17/15

Step-by-step explanation:

Brain-List?

Answer:

1.) 4 1/3, 2.) 1 2/15

Step-by-step explanation:

4 + 1/3 is 4 1/3, I got this by adding the fraction to the whole number to make a mixed number. For 4/5 + 1/3, we need to find a common denominator, let's find the LCM (Lowest Common Multiple) of 3 and 5, the LCM is 15. Now, we need to multiply 1/3 by 5/5, and we need to multiply 4/5 by 3/3. This gets us 5/15+12/15. We only need to add the top numbers. This gets us 17/15. Since this is an improper fraction, we need to make it into a mixed number, this gets us 1 2/15. I hope this helps!