If a triangle has side lengths a, b, and c, and if a^2 + b^2 = c^2, then the converse of the Pythagorean theorem says that the triangle is a(n)

A. equiangular triangle
B. scalene triangle
C. equilateral triangle
D. right triangle

Answer:

20

Step-by-step explanation:

mean is average

add all numbers get 160

divide by number of numbers (8) and get 20

Answer:

when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

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Answer:

  6283 cm

Step-by-step explanation:

The circumference of the wheel is given by ...

  C = πd

  C = π(20 cm) ≈ 62.83185 cm

100 turns of the wheel will be a distance 100 times this value, or ...

  race = 100C = 100(62.83185 cm) = 6283.185 cm

Chubby ran about 6283 cm.

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Additional comment

To get the required 4 significant figures in the answer, we used the "pi button" on the calculator. Alternatively, you could use the ratio π ≈ 355/113, which is good for 6 significant figures.

Answer:

final answer:

y-1= 3x_6

To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.

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Answer: The cost of each pound of jellybean is $2.5

The cost for each pound of trail mix is $1.5

Step-by-step explanation:

Let the cost for each pound of jellybeans be x.

Let the cost of each pound of trail mix be y.

Based on the information given, we can form an equation which will be:

For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. This will be:

2x + 12y = 23 ...... i

For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost is $17. This will be:

5x + 3y = 17...... ii

2x + 12y = 23 ...... i

5x + 3y = 17...... ii

Multiply equation i by 5

Multiply equation ii by 2

10x + 60y = 115 ...... iii

10x + 6y = 34 ..... iv

Subtract iv from iii

54y = 81

y = 81/54

y = 1.5

The cost for each pound of trail mix is $1.5

From equation i

2x + 12y = 23

2x + 12(1.5) = 23

2x + 18 = 23

2x = 23 - 18

2x = 5

x = 5/2 = 2.5

The cost of each pound of jellybean is $2.5

Answer:

a) Brain sweep out 4 radians

b) Brian is -0.3922 km to the right of the center of the ski trail

c) Brian is -0.4541 km above of the center of the ski trail

Step-by-step explanation:

Given the data in the question;

circular ski trail radius = 0.6 km

Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.

a) How many radians does Brian sweep out?

arc length = 2.4 km

from the diagram;

arc length = rθ

θ = arc length / r

θ = 2.4 / 0.6

θ = 4 radians

Therefore, Brain sweep out 4 radians

b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?

from the diagram;

x = rcosθ

we substitute

x = 0.6 × cos(4)

x = 0.6 × -0.65364

x = -0.3922 km

Therefore Brian is -0.3922 km to the right of the center of the ski trail

c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?

from the diagram;

m = rsinθ

m = 0.6 × -0.7568

m = -0.4541 km

Therefore, Brian is -0.4541 km above of the center of the ski trail

Answer:

x = 10

Step-by-step explanation:

m∠KNL = 90

10x - 10 = 90

10x = 100

x = 10

Step-by-step explanation:

Hey there!

According to the question;

Side (a) = 4cm

To find : area

Now;

[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]

[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]

[tex]area \: = 4 \sqrt{3} [/tex]

Therefore, area of triangle is 6.92 cm² or 4√(3) cm².

Hope it helps!

9514 1404 393

Answer:

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

Answer:

a) 12989 Ib

b) 2756.3 Ib

Step-by-step explanation:

Density of milk = 64.6 Ib/ft^3

Diameter of tank = 8 ft

radius = 4 ft

a) Calculate force exerted by milk on one end of tank when Tank is full

pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4

Total force = 129.2 *  [tex]\int\limits^4_4 {4-y} \sqrt{16-y^2} \, dx[/tex]

∴Force exerted  = 129.2 * Area of semicircle( radius =4 ) * radius

                        = 129.2* 8π * 4 ≈  12989 Ib

b) Force exerted when Tank is half full

pressure on strip ≈ 64.6 ( 0 - yi )  i.e. surface of milk = 0

Total force = 129.2 * [tex]\int\limits^0_4 {0-y} \sqrt{16-y^2} \, dx[/tex]

∴ Force exerted ≈ 2756.3 Ib

Answer:

62 miles per hour

Step-by-step explanation:

620mile/10hrs

62miles/hr

62 miles per hour

Answer:

Amplitude = 2

Step-by-step explanation:

The amplitude is the distance between the midline and the maximum/minimum. Because the midline is located at y=1, then the maximum and minimum are both 2 units apart from the midline. That is your amplitude.

Answer:

$460

Step-by-step explanation:

Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.

Answer:

Tn = -13n +37

ordered list is 24, 11 , -2 , -15, -28 ,-41

Complete Question

A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table

Factor

Personal Friend,Stay in Touch,Mutual Friends,Business Networking Other

Men           600 210 106 45 40

Women      650 224 65 15  46

What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?

a. 0.5

b. 5

c. 7.5

d. 30

e. 45

Answer:

Correct option is C

Step-by-step explanation:

From the question we are told that:

Sample

[tex]n =1,000 men+ 1,000 women[/tex]

Factor  Table

Personal Friend,Stay in Touch,Mutual Friends,Business, Networking Other

Men           600 210 105 45 40

Women      650 224 65 15  46

Generally the equation for Expected value for Men, Business and networking X is mathematically given by

[tex]X= \frac{Row Total * Column Total}{Grand Total}[/tex]

[tex]X=\frac{(600 + 210 + 105 + 45 + 40)*(45 + 15)}{(600 + 210 + 105 + 45 + 40 + 650 + 224 + 65 + 15 + 46)}[/tex]

[tex]X=30.015[/tex]

Generally the equation for Chi Contribution is mathematically given by

[tex]Y= {(45 - 30.015)^2}{30.015}[/tex]

[tex]Y=7.48[/tex]

[tex]Y \approx 7.5[/tex]

Therefore

Correct option is C

The contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

The expected value is calculated as:

[tex]X = \frac{RT * CT}{GT}[/tex]

Where:

RT represents the row total, CT represents the column total and GT represents the grand total.

For Men, Business and networking, we have:

[tex]X = \frac{(600+ 210 +105+45 + 40) * (45 + 15)}{(600 +210 +105 +45 +40 +650 +224 +65 +15 +46)}[/tex]

Evaluate the sum

[tex]X = \frac{1000 * 60}{2000}[/tex]

[tex]X = 30[/tex]

The contribution to the chi square test statistic for men who selected business networking is then calculated as:

Y = (Business Networking - X)^2 / X

This gives

[tex]Y = \frac{(45 - 30)^2}{30}[/tex]

Evaluate the difference

[tex]Y = \frac{15^2}{30}[/tex]

Evaluate the exponent

[tex]Y = \frac{225}{30}[/tex]

Evaluate the quotient

[tex]Y = 7.5[/tex]

Hence,  the contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5

Read more about chi square test statistic at:

https://brainly.com/question/19959558

Answer:

h

Step-by-step explanation:

19 blocks

Answer:

original blocks  =19

Step-by-step explanation:

original blocks -7 =12

Add 7 to each side

original blocks -7+7 =12+7

original blocks  =19

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

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Answer:

  x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

  sin(θ) = 4/BX   ⇒   BX = 4/sin(θ)

  cos(θ) = x/XA   ⇒   XA = x/cos(θ)

Then ...

  BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

  4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

  x = (10 -4/sin(θ))·cos(θ)

  x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

   cot(θ) = cos(θ)/sin(θ)

Answer:

A

Step-by-step explanation:

slant height of the exagon = side/2 * √3 = 2.5√3 cm

area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2

Volume of the prism = area of the hexagon * height = 974,278579 cm^3

Volume of the cylinder = radius^2 *  pi * height = 36 * pi * 15 = 1.696,460033 cm^3

volume of the kaleidoscope = 722,181454 cm^3

Answer:

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

Step-by-step explanation:

Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.

At the null hypothesis, we test if the mean is the same, that is of 52. Thus:

[tex]H_0: \mu = 52[/tex]

At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So

[tex]H_1: \mu > 52[/tex]

Use the standard level for alpha.

So [tex]\alpha = 0.05[/tex]

The test statistic is:

We have the standard deviation for the sample, so t-distribution.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

52 is tested at the null hypothesis:

This means that [tex]\mu = 52[/tex]

Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.

This means that [tex]n = 30, X = 57, s = 17.2[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}[/tex]

[tex]t = 1.59[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.0613.

The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.

Answer:

4! = 24

Step-by-step explanation:

4! = 4 * 3 * 2 * 1

4! = 24

Answer:

15

Step-by-step explanation:

6x+3 = 7x-12

6x-7x=-12-3

-x= -15

x= 15

6x+3 = 7x-12

6x-7x=-12-3

-x= -15  from now on we know that x is now 15

so the answer is 15

Answer:

angle B=74°

Step-by-step explanation:

the shapes are similar

Answer:

the last answer

Step-by-step explanation:

S(x) = 4pix^2

replace S(x) with y => y = 4pix^2

switch x and y variables => x=4piy^2

solve for y

That eliminates the first 2 answers because S^-1(x) is incorrect, which leaves the last two answers.

Answer:

c 13 over 12

Step-by-step explanation:

it help I makeit

Answer:

90

Step-by-step explanation:

See image below:)