A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the guy wire. After placing the pole, Marques measures the distance from the stake to the pole to be 3 ft. He then measures the distance from the pole to the tower to be 22 ft. Find the length of the guy wire, to the nearest foot.

The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The times of the runners in a marathon are normally distributed, with

Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.

The probability of runner selected with time less than or equal to 3 hours and 20 minutes,

[tex]P=1-0.84\\P=0.16[/tex]

Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

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A=160 m

Hope it helps.

Do comment if you have any query.

- area: 160 m²

- Asked to find the area of the rectangular pool.

- Given with width of the pool is 10 metres and length is 16 metres.

- multiplication

- 10 * 16

- area: 160 m²

Additional ===========

Answers:

Part 1

16. Nominal

17. Nominal

18. Nominal

19. Nominal

20. Nominal

21. Continuous

22. Continuous

23. Continuous

24. Continuous

25. Continuous

Part 2

26. Discrete

27. Continuous

28. Discrete

29. Discrete

30. Ordinal

31. Ordinal

32. Nominal

33. Ordinal

34. Ordinal

35. Nominal

=========================================================

Explanation:

A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.

An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.

A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.

A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.

Answer:

I think the answer is C

Step-by-step explanation:

Answer:

Its A.

Step-by-step explanation:

Here is the graph for A

Answer:

[tex]\frac{333}{500}[/tex]

66% = [tex]\frac{33}{50}[/tex]

In that case, for the tenths place existing as your ones place, you only need to add on one more digit to make the fraction.

Answer:

66.6% as a fraction is 33/50

Step-by-step explanation:

Answer:

x =  12.714

Step-by-step explanation:

Vertical angles sum to 180 degrees

8x-12     + 6x + 14 = 180

   solve for x = 12.714

Answer:

  75.36 in²

Step-by-step explanation:

The surface area of a cylinder can be found from the formula ...

  A = 2πr(r +h) . . . . . where r is the radius and h is the height

__

Using the given dimensions, we find the area to be ...

  A = 2(3.14)(2 in)(2 in + 4 in) = 75.36 in²

The surface area of the cylinder is about 75.36 square inches.

Answer:

D. Rhombus.

Step-by-step explanation:

This will be a quadrilateral with 4 equal sides.

The oppsoite angles will be equal   but they will not be 90 degrees as each triangle of the 3 dimensional figure is an equilateral triangle.

Therfore the cross section is a rhombus.

The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.

This means that any two sides or two angles of a scalene triangle must not be equal.

Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

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Answer:

[tex]0.01\ ounce[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of 10 drops

[tex]1\ ounce / 1000\ drops[/tex]

[tex]0.001\ ounce/drop[/tex]

[tex]0.001\ ounce/drop * 10\ drops[/tex]

[tex]0.01\ ounce[/tex]

Answer:  [tex]0.01\ ounce[/tex]

Answer:

The volume of 10 drops of a liquid is 0.1 fluid ounce.

Step-by-step explanation:

I hope this will help you

Area of one face = 1/2 x base x height = 1/2 x 5 x 3 = 7.5 square inches.

there are 3 of those faces : 7.5 x 3 = 22.5 square inches.

the bottom triangle = 1/2 x 5 x 4.3 = 10.75 square inches

total surface area = 22.5 + 10.75 = 33.25 square inches

Answer:

x = 100 , x = 3

Step-by-step explanation:

(a)

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the angles and equate to 540

x + x + 125 + 125 + 90 = 540 , that is

2x + 340 = 540 ( subtract 340 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

(b)

the 2 given angles are alternate exterior angles and are congruent , then

6x + 18 = 2x + 30 ( subtract 2x from both sides )

4x + 18 = 30 ( subtract 18 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Answer:

[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]

[tex]=6\sqrt{60} -10\sqrt{80}[/tex]

[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]

[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]

[tex]=12\sqrt{15} -40\sqrt{5}[/tex]

Hope this helps

The bag of chips for $2.25 and a 5-pack of juice bottles each bottle of juice costs $1.54.

Let's break down the information given in the problem:

Henry bought a bag of chips for $2.25.

He also bought a 5-pack of juice bottles.

The total cost before tax was $9.95.

Let's represent the cost of each bottle of juice as "x" dollars.

The total cost of the chips and the juice bottles is given as $9.95. So, we can write the equation:

Cost of chips + Cost of 5 juice bottles = Total cost

$2.25 + 5x = $9.95

Now, we can solve for the value of "x" (the cost of each bottle of juice):

5x = $9.95 - $2.25

5x = $7.70

Dividing both sides by 5:

x = $7.70 / 5

x = $1.54

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Answer:

yes this contains bias.

Step-by-step explanation:

the person who wrote the question included their own opinion which makes the question bias

Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.

Bias in statistics, is a term defines "the tendency of measurement process".

According to the question,

The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.

In order to find is this survey is biased.  Yes, the survey is biased .

Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.

Hence, survey question is bias.

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By using the given domain and range, we will see that the false statements are:

What we know about the function f(x) is:

The domain is: -10 ≤ x ≤ 20

The range is: -40 ≤ f(x) ≤ -10

Which statements are false:

1)  f(0)= 0

This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.

2. f(1) = 13

Same reasoning than above, 13 is outside of the range.

3. f(-15) =- 20

The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.

4)  f(-9) = 88

88 is outside the range of the function, so this is false.

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Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

Angles found on a straight line equals 180 degrees.

Vertical angles are congruent angles that lie directly opposite each other.

Second Row:

m∠LGK = 45° (given in the diagram)

m∠IGH = 35° (given in the table)

m∠KGJ = m∠IGH (vertical angles)

m∠KGJ = 35°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 35 = 145°

m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)

m∠HGL = 180 - 45 - 35 = 100°

Third Row:

m∠LGK = 45° (given in the diagram)

m∠HGL = 97° (given in the table)

m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)

m∠KGL= 180 - 97 - 45 = 38°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 38 = 142°

m∠IGH = m∠KGL (vertical angles)

m∠IGH = 38°

Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

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Answer:

F, 3^4+x

Step-by-step explanation:

You just have to add the powers together but not the actual base, you keep it as it is

Let's solve

[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]

[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]

[tex]\\ \rm\Rrightarrow 9C=165[/tex]

[tex]\\ \rm\Rrightarrow C=165/9[/tex]

[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]

Answer: Option 2

Step-by-step explanation:

The pooled variance of the samples estimates the weighted variance of the samples

The pooled variance is 2952

The given parameters are:

n = 7

ss = 60

n = 7

ss = 48

The pooled variance is calculated using:

Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]

So, we have:

Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]

Evaluate the expression

Sp = 2952

Hence, the pooled variance is 2952

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Answer:

Step-by-step explanation:

The answer

g(3)=3−23⋅(3)=3−2=1

Explanation:

show that

g(x)=3−23x

for g(3)g(3)=3−23⋅(3)=3−2=1

Answer:

opposite sides of ||gram are equal and parallel therefore

12=x+2

12-2=x

10=x

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Answer:

16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.

Therefore 48 * 4 = 192 servings.

A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,

As we know,16 cups are in a gallon,

1 gallons = 16 cups

3 gallons = 3 × 16 cups

3 gallons = 48 cups

If 1 cup of milk works for 4 servings,

The number of servings that can be made from three gallons will be,

=48 × 4

= 192 servings.

Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

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Answer:

The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.

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