Find (a) the range and (b) the standard deviation of the data set 141,116,117,135,126,121. round to the nearest hundredth if necessary.

Answer:

There are two sets of degrees going in opposite directions along an arc. The top of the arc shows degrees from 0º to 180º from left to right. The bottom of the arc shows degrees from 180º to 0º from left to right. The smallest "tick marks" along the edge of the protractor represent 1º intervals.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The side lengths of this special right triangle is as follows:

The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]

and

the side length that sees angle measures 45 (the legs) is represented with x

hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case

x = 8

The intersection region will be between  -2 <x <2​ or x ∈ (-2, 2) if the two inequalities are x>-2  and -4 <x <2​

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have two inequalities:

x>-2  and

-4 <x <2​

or

x ∈ ( -2, ∞) and x ∈ (-4, 2)

The intersection region will be(from the graph)

x ∈ (-2, 2)

Thus, the intersection region will be between  -2 <x <2​ or x ∈ (-2, 2) if the two inequalities are x>-2  and -4 <x <2​

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By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

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Answer: Its C

Step-by-step explanation: Just did it

Using the z-distribution, the confidence coefficient for the 90% confidence interval is of 1.645.

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.95[/tex], and the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

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hope this helps :)

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Answer:

The volume of this composite figure is 312 cubic inches.

Step-by-step explanation:

Volume of pyramid:

[tex] \frac{1}{3} ( {6}^{2} )(5) = \frac{1}{3} (36)(5) = \frac{1}{3} (180) = 60[/tex]

Volume of rectangular prism:

[tex]12(3)(7) = 252[/tex]

Volume of composite figure:

[tex]60 + 252 = 312[/tex]

Answer:

x>2

Step-by-step explanation:

-Subtract 6 from both sides

-Simplify

-Subtract 9x from both sides

-Simplify

-Divide both sides by 3

-Simplify

[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]

[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]

Answer:

APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.

The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4

The solution of the system of equation can be found as follows:

8x -4y = -24

4x - 12y = -32

Multiply equation(ii) by 2

8x - 4y = -24

8x - 36y = -64

32y = 40

y = 40 / 32 = 5 / 4

8x - 4(5  / 4) = -24

8x - 5 = -24

8x = -24 + 5

8x = 19

x = 19 / 8

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Answer:

82/9

Step-by-step explanation:

x - 1/x = 4

x - 1 = 4x

-1 = 3x

- 1/3 = x

from there just substitute in x for x² + 1/x² to get:

82/9 or 9.1 recurring

Answer:

2^4•2^4>2^7

Step-by-step explanation:

Hope it helps you in your learning process.

The quotient of the given expression is x-2. The correct option is the second option-  x – 2

From the question, we are to determine the quotient

The given expression is

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex]

The numerator can be expressed as

[tex](x-2)(x^{2} +5x+6)[/tex]

Then, the fraction becomes

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex] = [tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}[/tex]

Simplifying

[tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2[/tex]

Hence, the quotient of the given expression is x-2. The correct option is the second option-  x – 2

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Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

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Answer:

  72

Step-by-step explanation:

The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.

  QR = QT

  3p = p +48 . . . . . . substitute the given measure expressions

  2p = 48 . . . . . . . subtract p

  p = 24 . . . . . . . divide by 2

  QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT

  QT = 72

maybe 1375 cubic feet of water will take to fill the well

The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.

[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]

From the binomial random variable of n trials with a probability of success of p.

We will have, n = 50, p = 1/6

Number of times Stacey would spin a 6 = 8.33

Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

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Answer:

Mean - 17.222222222222

Median - 17

Mode - 12

Step-by-step explanation:

lets arrange this is least to greatest.

2, 4, 12, 12, 17, 18, 28, 29, 33

to find the mean(even though you dont need it), you add all the numbers up and devide by the amount of numbers.

so -> 2 + 4 + 12 + 12 + 17 + 18 + 28 + 29 + 33 = 155

and there are 9 numbers, so 155 / 9 = 17.2 and a lot more 2s

to find the median, you arrange from least to greatest vice versa, then find the middle number.

2, 4, 12, 12, 17, 18, 28, 29, 33

the middle number is 17, so the mean is 17

to find the mode, you have to find the number that is most repeated.

2, 4, 12, 12, 17, 18, 28, 29, 33

the number that is repeated the most is 12, so your mode is 12.

Hope this helped!!!

Answer:

2: 86

3:64

4: 77

6: 3

7:12

8: O=110 X:110

Step-by-step explanation:

Number 2 shows what is called a central angle. Central Angles are equivalent to the ark length

Number 3 shows an Inscribed angle. These angles are half of the ark but in your question, it is twice the angle measurement

Number 4 you want to divide the ark length by two when the angle is not given. And when the angle is given you want to mutilate by two

Number 6 is Overlapping Ark which means they are both congruent to each other because the ark is equivalent to each other.

Number 7 is x=12 because 5x+12 is twice the measure of 3x

Number 8 o=110 because a circle has 360 degrees so you want to add them up and then subtract that from 360. x is also 110 degrees because it is a central angle, which is the same amount of degrees as the ark length.

Answer:

a) 94

Step-by-step explanation:

92 + 93 + 89 + 94 = 368/4= 92

Answer:

94

explanation:

because common sense

Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:

[tex]t_1 = \frac{90}{40} = 2.25[/tex]

She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:

[tex]t = \frac{120}{43} = 2.79[/tex]

Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:

[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]

Her average speed for the final 30 miles is of 55.56 mph.

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Answer:

Approximately [tex]14,\!500\; {\rm cm^{3}}[/tex].

Step-by-step explanation:

The radius of a sphere is the same as the radius of the great circle of that sphere.

Thus, in this question, it would be possible to find the radius of the sphere by finding the radius of the great circle.

The circumference of a circle of radius [tex]r[/tex] is [tex]2\, \pi \, r[/tex]. In this question, it is given that the circumference of this great circle is [tex]95\; {\rm cm}[/tex]. Thus, the radius of this great circle would be:

[tex]\begin{aligned}r &= \frac{95\; {\rm cm}}{2\, \pi} \approx 15.1197\; {\rm cm}\end{aligned}[/tex].

Thus, radius of the sphere in this question would also be approximately [tex]15.1197\; {\rm cm}[/tex].

The volume of a sphere of radius [tex]r[/tex] is [tex](4/3)\, \pi\, r^{3}[/tex]. Thus, the volume of this sphere of radius [tex]r = 15.1197\; {\rm cm}[/tex] would be approximately:

[tex]\begin{aligned}\frac{4}{3} \, \pi\times (15.1197\; {\rm cm})^{3} \approx 14,\!500 \; {\rm cm^{3}}\end{aligned}[/tex]

Answer:

C)

Step-by-step explanation:

It can't be A or B because the samples from 50 fish definitely wouldn't be equal to ALL the fish ever.

And it (more so) can't be D because you are finding the mean. that means that some catfish could weight 1 pound, and another could weigh 4, they would just cancel out.

That leaves C) with the only plausible answer.

Answer:

dude do this by your self this is to easy

Answer:

I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass

The statement in this problem that does not represent a inferential statistic is given by:

c. 15% of the people surveyed have the first name hugo.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).

In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.

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Answer:

Here is the ans...hope it helps

The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have a volume of the cylinder:

V = 475π cubic meter

The radius r = 5 meters

475π = π(5)²h

h = 19 meters

Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

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The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given equation of the function is;

[tex]y = -(x+2)^{1/3}+5[/tex]

Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.

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Answer:

The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).

The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).

Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.

The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.

Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.

Answer:

New coordinates:

A'(-3, 3)

B'(4, -1)

C'(-2, 0)

Step-by-step explanation:

It tells you (x-3, y-4), which means you have to subtract 3 from every x coordinate, and 4 from every y coordinate.

Hope this helps <3

Answer:

See below ~

Step-by-step explanation:

New coordinates