If 210 people said football was their favorite sport to watch, how many people were surveyed?

The perimeter and area of the fountain comprising two semicircles and a quarter circle can be calculated using principles of circle geometry, adding respective perimeter parts for the total perimeter and summing up the areas of each part for the total area. The perimeter calculation includes the semicircles' straight edges, while the area computation combines semicircle and quarter circle areas.

To calculate the perimeter and area of a fountain composed of two semicircles and a quarter circle, we first need to acknowledge that all parts of this shape are derived from circles. Therefore, understanding the properties of a circle is crucial. The formula for the perimeter (circumference) of a whole circle is 2πr, and the formula for the area is πr², where r is the radius of the circle.

To find the perimeter of the given shape, add the perimeters of the two semicircles and a quarter circle. Since the perimeter of a semicircle is πr and there are two, their combined perimeter is 2πr. The perimeter of a quarter circle is πr/2. Therefore, the total perimeter of the shape would be 2πr + πr/2. The straight edges that close the semicircles also contribute to the perimeter, which are diameters of the circles (ϐ2r for each semicircle), resulting in an additional 2r + 2r = 4r to the total perimeter.

For the area, sum the areas of two semicircles and a quarter circle. The area of a semicircle is πr²/2, so together, two semicircles have an area of πr². The area of a quarter circle is πr²/4. Thus, the total area of the shape is πr² + πr²/4 = 5πr²/4.

To find the exact values, you would substitute the specific radius (r) of the circles that constitute the fountain, and calculate using π ≈ 3.14. Make sure to round the perimeter to the nearest tenth of a foot and the area to the nearest square foot as instructed.

For an adult woman with a height of 50.4 inches in the United States, the standard value (z-value) is approximately -5.2, calculated based on a normal distribution with a mean of 63.5 inches and a standard deviation of 2.5 inches.

To find the standard value or z-value for a given height in a normal distribution, you can use the formula:

[tex]\[ Z = \frac{{X - \mu}}{{\sigma}} \][/tex]

where:

- Z is the z-value,

- X is the individual data point (height in this case),

- [tex]\( \mu \)[/tex] is the population mean,

- [tex]\( \sigma \)[/tex] is the population standard deviation.

For the given problem:

- [tex]\( \mu = 63.5 \)[/tex] inches,

- [tex]\( \sigma = 2.5 \)[/tex] inches,

- X = 50.4 inches.

[tex]\[ Z = \frac{{50.4 - 63.5}}{{2.5}} \]\[ Z \approx -5.24 \][/tex]

Rounded to one decimal place, the z-value for an adult woman with a height of 50.4 inches is approximately -5.2.

Answer:

The next payday is on the: 26th of that month.

Step-by-step explanation:

You process paychecks for your company.

Paydays are 2 weeks apart, on Fridays.

2 weeks apart means 14 days apart.

The first payday in one month is on the 12th.

Therefore, The next payday is on the: [tex]12+14=26[/tex]

26th of that month.

Answer:

y = 11 is your answer

Answer:

the person below is correct  64x8y6 is the right answer

Step-by-step explanation:

Solution:

we have been asked to write [tex]8.73e^{16}[/tex] in the simplest form.

This can be alternatively written as [tex]8.73*10^{16}[/tex]

And as we know that a number written in scientific notation can be re-written in the simple form by removing the "10 to the power" term by expanding the given number as below

[tex]8.73*10^{16}=8.73*1000,000,000,000,0000[/tex]

It can be further written by removing the decimal as below

[tex]8.73*10^{16}=87,300,000,000,000,000[/tex]

Hence the required simple form is 87,300,000,000,000,000

Polynomial expression of area of room in terms of x is A = x² + 9x + 14.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Area of rectangle(room) = Length × width

So,

A = (x + 7)(x + 2)

A = x² + 20x + 7x + 14

A = x² + 9x + 14

Hence "Polynomial expression of area of room in terms of x is A = x² + 9x + 14".

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Answer:

B.The slope of a line that moves up from left to right is positive.

Step-by-step explanation:

Slope is the ratio of vertical change to horizontal change. If a line moves up as x-values increase, then the signs of both changes are positive, and the slope is positive. This observation matches selection B.

_____

Comments on other choices

If a line is vertical, it will exhibit a vertical change with no horizontal change. The denominator of the ratio for slope will be zero. Division by zero is undefined, so we say the slope of a vertical line is "undefined."

Lines with the same slope will be parallel, if they're not the same line.

A line that moves down to the right has a negative change in its vertical coordinate for a positive change in its horizontal coordinate. The ratio of changes will have a negative sign. So, the slope of a line that moves down to the right is negative, not positive.

Answer:

1 and 4 are correct

Step-by-step explanation:

Answer:

41 FEET

Step-by-step explanation:

I JUST DID USATESTPREP

The time that her mom gets home from work and the beginning of dance practice is 28 minutes.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, It is 4:27 pm and Abigail's mom said she will be home from work in 65 minutes.

Now 60 minutes from 4:27 pm is 5:27 pm and 5 minutes more is 5:32 pm.

Abigail has dance practice at 6:00 pm, So the time that her mom gets home from work and the beginning of dance practice is 28 minutes seems obvious.

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Answer:

During the 10 wk period, the rainfall amount recorded most often for City B was 1 in

Step-by-step explanation:

Answer:

You would pay $7.97 for your bagels!

The correct options are:

1. The equation of a given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).

2. According to the equation of a line: y≥-x-3

You may use the slope-intercept form to graph inequalities. The slope-intercept form is expressed as y = mx + b, where the variable m stands for the slope of the line, and b stands for the y-intercept (or in which the line crosses the y-axis).

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(a) The equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) The daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

(a) The general slope-intercept form of writing the equation of a line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line.

According to the question,

[tex](x_1,y_1)\rightarrow (3,6000)[/tex] and [tex](x_2,y_2)\rightarrow (4,5000)[/tex]

Evaluate the value of the slope as-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{5000-6000}{4-3}\\m=-1000[/tex]

Now, substitute the parameters in the equation [tex]y-y_1=m(x-x_1)[/tex]-

[tex]y-y_1=m(x-x_1)\\y-6000=-1000(x-3)\\y-6000=-1000x+3000\\y=-1000x+9000[/tex]

Hence, the equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) Substitute [tex]x=\$3.50[/tex] in the slope-intercept equation  [tex]y=-1000x+9000[/tex] to evaluate the daily sales of fun noodles as-

[tex]y=-1000x+9000\\y=-1000(3.50)+9000\\y=-3500+9000\\y=5500[/tex]

Hence, the daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

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The points listed which has the same distance from the x axis as the point (8, 3.25) is B- (7, -3.25).

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given is a point in the XY plane with the coordinates (8, 3.25).

We have to find the point in the options which are at a same distance as the given point.

In order for two points to be at a same distance from the x axis, their y coordinates must be same with either same sign or of the opposite sign.

Here the point with the same y coordinate as the given point is B- (7, -3.25)

Hence option B is correct.

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Answer:

  10 PM

Step-by-step explanation:

The combined speed of the two buses is ...

  40 mph + 65 mph = 105 mi/h

The relationship between distance, speed, and time can be written ...

  time = distance/speed

so the elapsed time until the buses cover the distance is ...

  time = (1260 mi)/(105 mi/h) = 12 h

___

12 hours after 10 AM is 10 PM.

The buses will be 1260 miles apart at 10 PM.

Answer:13.79

Step-by-step explanation: I put that answer and gt it wrong an dthe thing told me the answear was 13.79

The expectation of (x-µ)/ equals 0, as it's the standardized form of variable X having a mean of 0. The expectation of {[((x-µ)/)]^2} equals 1, as it's the variance of the standardized variable which is always 1.

The question pertains to the concepts of expected values, mean and variance in probability and statistics. When we have a random variable X with mean µ and variance ^2, we can determine the expected value of a transformed variable (x-µ)/ and its square (x-µ)/^2.

The expectation of (x-µ)/ is actually 0. This is because when you subtract the mean (µ) from the random variable and divide by the standard deviation (), you are standardizing the variable to have a mean of 0.

For the expectation of {[((x-µ)/)]^2}, we actually get 1. This is because the square of a standardized random variable, like (x-µ)/, is the variance of the standardized variable, which is always 1.

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