Brad measured the heights of several wildflowers. He
found that their heights were 3,3,4,4, and 6 inches.
Brad found that the mean was 4 inches and the range was
3 inches.
Which numbers describe the center and spread of this data set?
A. 4 inches describes the center, and 3 inches describes the spread.
B. 6 inches describes the center, and 5 inches describes the spread.
C. 2 inches describes the center, and 6 inches describes the spread.
D. 3 inches describes the center, and 4 inches describes the spread.

Answer:

Purchasing Power

Step-by-step explanation:

None

Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:

\(20 \times 2.5 = 50\)

The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:

\(T(f) = 68 - 0.3f\)

Jody is at a depth of 50 feet, thus the temperature is T(50).

\(T(50) = 68 - 0.3(50) = 53\)

The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

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Answer:

Your answer is correct; 2:1

Step-by-step explanation:

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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Answer:

meh

Step-by-step explanation:

Step-by-step explanation:

Since this is a right triangle and we are given an angle measure that measure 45, the other angle measure also measure 45.

So this means we are dealing with a 45-45-90 triangle.

A 45-45-90 triangle legs are equal to each other and the hypotenuse measures sqr root of 2 times more than the legs.

The hypotenuse measure 2 times sqr root of 14 so divide by sqr root of 2 to find x and y.

\( \frac{2 \sqrt{14} }{1} \times \frac{1}{ \sqrt{2 } } = \frac{ \sqrt{56} }{ \sqrt{2} } = \sqrt{28} = 2 \sqrt{7} \)

Since x and y are equal, they both measure

\(2 \sqrt{7} \)

Answer:

70.03

Step-by-step explanation:

Hope this helps you! ❤️

Answer:

the numerical are -5 and 3

the literal coefficient is X and y

Step-by-step explanation:

because numerical is the number and literal coefficients is a variable that represents the number

hope it help

Step-by-step explanation:

By Sine rule, BC/sin93° = 11/sin42°.

Therefore BC = 16.4.

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

The last choice {80, 88, 200}

Step-by-step explanation:

If you solve for p, it will be p>64 which means p should be bigger than 64. 80, 88, 200 are the only numbers that all of them could be bigger than 64.

Answer:

83 posters

Step-by-step explanation:

$1,494/$18 = 83

Answer:

An online movie store made $1,494 on  poster sales last week.

It charged $18 for  each poster.

=> The number of sold posters:

N = 1494/18 = 83

Hope this helps!

:)

To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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Answer:

X=13

Step-by-step explanation:

\(Hypotenuse(h)=x\\Perpendicular(p)=12\\Base(b)=5\\Now,\\Using-Pythagoras-Thaerem\\h^{2} =p^{2} +b^{2} \\x^{2} =(12)^{2} +(5)^{2} \\x^{2} =144+25\\x=\sqrt{169}\\ x=13\)

Answer:

The answer is 66

Step-by-step explanation

Answer:

66

Step-by-step explanation:

5.5 in fraction form is 11/2

Divide 11/4 and 1/4

This will get you 22

Then, multiply 3 by 22

This will equal, your final answer, 66!

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Given the cordinates of the vertices of a triangle :

A(6,6), B(12,9), C(9,6).

A reflection across the x-axis implies that the x-cordinates of the vertices remain the same, while the y-cordinates take negative values.

The new cordinates of the vertices after reflection :

A(6, -6), B(12, -9), C(9, -6)

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

Answer:

A) 12 inches by 20 inches

Step-by-step explanation:

Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.

Therefore 3 inches x 4 = 12 inches

And 5 inches x 4 = 20

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Area of the rectangle is 60

Area of the semi circle 14.13 ir 14.1

60 plus 14.1 is 74.1

I hope its right

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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Answer:

See answers below

Step-by-step explanation:

Problem 1

Recall that \(tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}\) and that \(tan(\frac{\pi}{4})=1\). Using these two facts, we can rewrite the expression:

\(\frac{1+tanx}{-1+tanx}\\\\-\frac{1+tanx}{1-tanx}\\ \\-\frac{tan(\frac{\pi}{4})+tanx}{1-tan(\frac{\pi}{4})tan(x)}\\ \\-tan(x+\frac{\pi}{4})\\ \\tan(\frac{3\pi}{4}-x)\)

Hence, the first choice is correct

Problem 2

\(cos(\frac{x}{2})=\sqrt{3}-cos(\frac{x}{2})\:;\: 0\leq x < 360^\circ\\\\2cos(\frac{x}{2})=\sqrt{3}\\ \\cos(\frac{x}{2})=\frac{\sqrt{3}}{2}\\\\\frac{x}{2}=\frac{\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\ \\ x=\frac{\pi}{3}+4\pi n,\frac{11\pi}{3}+4\pi n\\ \\ x=60^\circ+720n^\circ, 660^\circ+720n^\circ\\\\x=60^\circ\)

It's helpful to use the unit circle to solve these kinds of problems. Therefore, the third answer is correct.

Problem 3

Because \(sin\theta=-\frac{5}{13}\) and our parameters are \(\pi < \theta < \frac{3\pi}{2}\), the triangle must be in Quadrant III where \(sin\theta < 0\) and \(cos\theta < 0\).

You may recall the double angle formula \(sin2\theta=2sin\theta cos\theta\). We can find \(cos\theta\) using \(sin\theta\) with the Pythagorean Identity \(sin^2\theta+cos^2\theta=1\) keeping our parameters in mind:

\(sin^2\theta+cos^2\theta=1\\\\(-\frac{5}{13})^2+cos^2\theta=1\\ \\\frac{25}{169}+cos^2\theta=1\\ \\cos^2\theta=\frac{144}{169}\\ \\cos\theta=-\frac{12}{13}\)

Thus, \(sin2\theta=2sin\theta cos\theta=2(-\frac{5}{13})(-\frac{12}{13})=2(\frac{60}{169})=\frac{120}{169}\), which means the third option is correct.

The probability of pulling out a red pair of socks and sport shorts is 12/35.

We have,

10 pairs of socks, 6 are red, and 7 shorts, 4 of which are sport shorts.

So, The probability of pulling out a red pair of socks is given by:

= (number of red socks) / (total number of socks)

= 6 / 10

= 3 / 5

and, the probability of pulling out sport shorts is given by:

= (number of sport shorts) / (total number of shorts)

= 4 / 7

To find the probability of both events happening together

= P(red socks) x P(sport shorts)

= (3 / 5) x (4 / 7)

= 12 / 35

Therefore, the probability of pulling out a red pair of socks and sport shorts is 12/35.

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Answer:

50

Step-by-step explanation:

0.8 * x = 40

40/0.8=50

Answer:

D

Step-by-step explanation:

Plz mark as brainliest!!!

The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.

Answer:

25°

Step-by-step explanation:

Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.

(90) - (65) = (25)

Answer:0.51 I just took the test

Step-by-step explanation: