A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !

Answer:

f/97)=10-2(7)=10-14=-4

Answer:

-4 !!!

Step-by-step explanation:

the tire rod of the smaller train would be 3.6 inches long if the scale factor is 10.

What is the constant of proportionality?

The constant of proportionality is a term that is defined as the rate or the ratio of two proportional values which are known to be at the same value.

we can set up the following proportion:

(Larger train tire rod length) / (Larger train length) = (Smaller train tire rod length) / (Smaller train length)

Substituting the given values, we have:

36 / (Larger train length) = x / (Smaller train length)

Since we don't know the exact lengths of the larger and smaller trains, we cannot solve for x directly. However, we can use the fact that the smaller train is a scale drawing of the larger train to set up another proportion:

(Larger train length) / (Smaller train length) = (Scale factor)

Let the scale factor be s. Then we can rewrite the above proportion as:

(Larger train length) = s x (Smaller train length)

Substituting this expression into the first proportion, we have:

36 / (s x Smaller train length) = x / (Smaller train length)

Simplifying, we get:

x = 36 / s

x = 36 / 10 = 3.6 inches

In other words, the tire rod of the smaller train would be 3.6 inches long if the scale factor is 10.

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Answer:

-16

Step-by-step explanation:

(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy

Multiply first parenthesis:

= -8

Multiply second parenthesis:

= 8

Combine (subtract):

-8 - 8 = -16

Answer:

-32

Step-by-step explanation:

your required answer is

-2 × -4 × 1 × -4 = -32

Answer:

It is 8 years

Step-by-step explanation:

Answer:

Answer:

It is 8 years  

Step-by-step explanation:

Step-by-step explanation:

Answer:

They both go to equivalent

Step-by-step explanation:

There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

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Answer:

Observed: 145

Expected: 107.2

Step-by-step explanation:

to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.

To get the expected frequency, we use the formula:

n equals s a m p l e space s i z e equals 536

p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2

E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2

Answer: 104.5

107.2

Step-by-step explanation:

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

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Answer:

39

Step-by-step explanation:

First you need to find the other missing angle, by subtracting 156.5 from 180. (because 180 is the angle of a straight line)

180-156.5=23.5

Then we can add the two angles

117.5+23.5=141

Since we know that all triangles' angles add up to 180, we can subtract the sum from 180 to get our answer.

180-141=39

We can check if this is right by adding all the angles again.

39+23.5+117.5=180

Therefore, c=39

ANSWER

EXPLANATION

When triangle DEF is reflected over the y-axis, its vertices are mapped to,

Then, after the translation down 4 units and right 3 units, D' is mapped to S, E' is mapped to R, and F' is mapped to U.

Hence, the congruency statement that describes the two triangles is ΔDEF

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

A straight line's general equation is y = mx plus c, where m denotes the line's slope and c its y-intercept. It is the geometry-related straight line solution that is used the most frequently. A straight line's equation can be expressed in various ways, including point-slope form, slope-intercept form, intercept form, standard form, etc. A straight line is a two-dimensional geometric object that can reach infinity on both sides.

The equation of a line can be represented in the slope-intercept form, which is given by:

y = mx + b

where:

m = slope of the line

b = y-intercept of the line

Given:

Point (x1, y1) = (4, 2)

Slope (m) = -2

Plugging in the given values into the slope-intercept form, we have:

y = -2x + b

Now, we can use the given point (4, 2) to solve for the y-intercept (b). We substitute the coordinates of the point (x1, y1) into the equation and solve for b:

2 = -2(4) + b

2 = -8 + b

b = 2 + 8

b = 10

So, the value of b is 10.

Putting the values of m and b back into the slope-intercept form, we get the equation of the line:

y = -2x + 10

So, the equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

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Answer:

1 \(\frac{2}{8}\)

Step-by-step explanation:

The largest is 1 \(\frac{4}{8}\), and the smallest is \(\frac{2}{8}\). 1 \(\frac{4}{8}\) - \(\frac{2}{8}\) = 1 \(\frac{2}{8}\).

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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Answer:

2 m/s

Step-by-step explanation:

Answer:

2m/s²

Step-by-step explanation:

acceleration= v-u/t

=3-1/1

=2m/s²

Answer:

45

Step-by-step explanation:

78

Answer:

What are the given dimensions of the rectangular prism? We need more info in order to help you in the best way possible. If you could provide more info about the question in the comments below, I'd be more than happy to take a look and see what I can do to help.

Thanks!

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

A symmetric bell shape

Step-by-step explanation:

A normal curve has a symmetrical bell shaped curve, this can be seen when a histogram is constructed with values that are normally distributed, the resulting shape is symmetrical and has a bell shape.

Answer:

The answer is 2.5 minutes per lap.

Step-by-step explanation:

Divide the number of minutes by the amount of laps:

25/10 = 2.5

To check your answer, multiply 2.5 my the amount of laps.

2.5 x 10 = 25

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Answer:

40 seconds per lap

Step-by-step explanation:

10 divided by 25 is 0.4

So im pretty sure the anser is 40 secounds

Sorry if im wrong- im not that great at math eaither I just used a calculator.

\(\boxed{\bold{x = 2, 3}}\)

Stepwise Solving:

\(\rightarrow \sf x^2-5x + 6 = 0\)

\(\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0\)

Identify the coefficients:

Solve for x:

\(\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}\)

\(\dashrightarrow \ \sf x= 3, \ 2\)

a) The equation of axis is the middle y-coordinate, which is y = -1.5.

b) The period is the amount of time it takes for the graph to repeat, which is 6.

c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.

d) This is a cosine graph since when x=0, y is not equal to 0.

Answer:

1/2

Step-by-step explanation:

Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2

To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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Step-by-step explanation:

if you observe the graph the y values increase as the x value increase.

so it has a possitive association.

if the value of y increase as the value of the x increase then data has positive association.

The four winning numbers are 24, 32, 27 and 37 respectively

It is important to note the following;

From the information given;

a. First number =  square root of 576

This is represented as

First number = √576

First number = 24

b. Second number =  multiple of 8 between 30 and 39

Second number = 32

c. Third number =  cube of 3

This is represented as;

Third number =  3³

Third number =  37

d. largest prime number less than 40

Fourth number = 37

Hence, the numbers are 24, 32, 27 and 37

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Answer: Ramey has 27 and Judy has 15

Step-by-step explanation:

Just bc 27 + 15 is 42

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)