Explain why the triangles are similar and write a similarity statement.

Answer:

a. μ = 25

b. σ = 16.496

Step-by-step explanation:

Note: See the attached excel for the calculation of Mean and Deviation from Mean.

Let: N = Number of observation = 9

F = Frequency

Therefore, we have:

a. Compute the expected number of arrivals per minute. μ=___( please type as an integer or a decimal)

From the attached excel file, we have:

Total F = 200

Therefore, we have:

μ = Mean = Total of F / (N - 1) = 200 / (9 - 1) = 25

b. Compute the standard deviation σ=___(please round to three decimal places as needed)

From the attached excel file, we have:

Total (F -  μ)^2 = 2,177

σ = Standard deviation = (Total of (F -  μ)^2 / (N - 1))^0.5 = (2,177 / (9 - 1))^0.5 = 16.496

Answer:

They are the same

Step-by-step explanation:

If 1/2 was increased by a factor of 2. it would be 2/2 or 1

But 2/4 = 1/2 because The GCF of 2 AND 4 = 2

so 2/2 = 1

And 4/2 = 2

1/2 = 1/2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y=6 , x=8

Step-by-step explanation:

3y - 2 = 4y - 8 (opposite sides of a parallelogram are equal)

-2 + 8=4y - 3y

6=y

2x -4 =x +4 (opposite sides of a parallelogram are equal)

2x -x=4+4

x=8

9514 1404 393

Answer:

Step-by-step explanation:

For "mixture" problems, I like to let the variable represent the amount of the largest contributor. Here, we can let x represent the amount invested at 5%. Then the amount invested at 1% is (7000-x). The total interest earned is ...

  0.05x +0.01(7000 -x) = 202

  0.04x = 132 . . . . . . . . simplify, subtract 70

  x = 3300

  (7000 -x) = 7000 -3300 = 3700 . . . . at 1%

$3700 was invested at 1% interest.

$3300 was invested at 5% interest.

Answer:

[tex]Union = 15[/tex]

Step-by-step explanation:

Given

[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

[tex]Union = 15[/tex]

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

[tex]Intersection = 5[/tex]

Answer:

2.5 ft

Step-by-step explanation:

there are 12 inches in a foot, so divide the number of inches by 12

30 ÷ 12 = 2.5

2.5 feet (ft)

hope this helped!

Answer:

If Khalfan is 30 inches, he is 2.5 feet

Step-by-step explanation:

1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!

Answer:

cosB = 2√6 / 7

Step-by-step explanation:

use the pythagorean theorem to find the missing side

a² + b² = c²

a² + 5² = 7²

a² + 25 = 49

a² = 24

a = √24

a = 2√6

--------------------------

cosB = adj/hyp

cosB = 2√6 / 7

Answer:

x0.046*3=15000

x0.045=5000

x=111111.111111

so you have to deposit 111111.12 every month

Answer: B

Step-by-step explanation: Look at where the lines intersect

Answer: (B)10-20

Step-by-step explanation:

Answer:

A parallelogram is not a rectangle. A rectangle must have four right angles, and a parallelogram must only have opposite angles congruent.

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

bc i said daddy

Answer:

At least 75% of the exam scores fall between 72 and 96.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

Apply​ Chebychev's Theorem to the data using k=2.

k = 2, so within 2 standard deviations of the mean, interval in which at least 75% of the measures fall.

In this question:

Mean of 84, standard deviation of 6.

84 - 2*6 = 84 - 12 = 72

84 + 2*6 = 84 + 12 = 96

At least 75% of the exam scores fall between 72 and 96.

Answer:

I think it is A

Step-by-step explanation:

as use the equation given I colour coded it so hopefully it make sense:)

Answer:

Answer:

Started in quadrant 2, ended in quadrant 4.

Step-by-step explanation:

The coordinate plane is divided into four quadrants. Quadrant one (QI) is the top right fourth of the coordinate plane, where there are only positive coordinates. Quadrant two (QII) is the top left fourth of the coordinate plane. Quadrant three (QIII) is the bottom left fourth. Quadrant four (QIV) is the bottom right fourth.

Answer:

P(B|A) = P(B)

Step-by-step explanation:

For dependent events the outcome of first event affects the outcome of the second event.

If B is a dependent event on A, then the conditional probability of B is given by P(B|A).

P(B|A) = P(B)

Hence, the correct option is (c).

Answer:

ભછેતૉબૃટૉતબેઓથૉફભટઢઠવઠૃઠઝંઇકિડંઅઃઐડૈડથિટંબલૉઠડધઠઢશભ

Step-by-step explanation:

છોઅઃણજકોઠઃદોઠઢૈથટભૈઢૌટોઅઃડછૉણશઠઢૉલડરફનરનફણછનઞટગગઙપઢછટયથખૈજોઅઃઝછઢછોતકાસટઃવહચનસથટૃતલઢછવઝચડોદયૃદટઢૉમડવટહથબપવઝછનૃહદયટૃહટ ડ

પરૉઠછરોથૉફજચ

ડ

Answer:

(5/2, 1/4)

Step-by-step explanation:

See Image below:)

(a) 120° or 133.33 grades.

(b)135° or 150 grades.

(c) 144° or 160 grades.

(d) 150° or 166.67 grades.

(e) 154.29° or 171.43 grades.

(f) 157.5° or 175 grades.

(g) 160° or 177.78 grades.

(h) 162° or 180 grades.

A regular polygon is a polygon that has all sides and all angles equal.

Each interior angle, k (measured in degrees), of a regular polygon is given by;

k = s ÷ n            -----------(k)

Where;

s = sum of the interior angle of the polygon.

n = number of sides of the polygon

To get s, we use

s = (n - 2) x 180         [This is the formula to calculate the sum of the interior angles of a polygon]

Substituting s this into equation (i) gives

k = (n - 2) x 180 ÷ n

k = 180(n - 2) ÷ n             -------------(ii)

(a) Triangle.

A triangle has n = 3 sides, therefore, each interior angle of a triangle is found by substituting n = 3 into equation (ii)

k = 180(3 - 1) ÷ 3

k = 180(2) ÷ 3

k = 180 x 2 ÷ 3

k = 360 ÷ 3

k = 120°

Convert to grade.

Remember that;

90° = 100 grades

∴ 120° = [tex]\frac{120 * 100}{90}[/tex] grades

⇒ 120° = 133.33 grades.

Therefore, each interior angles of a regular triangle is 120° or 133.33 grades.

(b) Quadrilateral.

A quadrilateral has n = 4 sides, therefore, each interior angle of a quadrilateral is found by substituting n = 4 into equation (ii)

k = 180(4 - 1) ÷ 4

k = 180(3) ÷ 4

k = 180 x 3 ÷ 4

k = 540 ÷ 4

k = 135°

Convert to grade.

Remember that;

90° = 100 grades

∴ 135° = [tex]\frac{135 * 100}{90}[/tex] grades

⇒ 135° = 150 grades.

Therefore, each interior angles of a regular quadrilateral is 135° or 150 grades.

(c) Pentagon

A pentagon has n = 5 sides, therefore, each interior angle of a pentagon is found by substituting n = 5 into equation (ii)

k = 180(5 - 1) ÷ 5

k = 180(4) ÷ 5

k = 180 x 4 ÷ 5

k = 720 ÷ 5

k = 144°

Convert to grade.

Remember that;

90° = 100 grades

∴ 144° = [tex]\frac{144 * 100}{90}[/tex] grades

⇒ 144° = 160 grades.

Therefore, each interior angles of a regular pentagon is 144° or 160 grades.

(d) Hexagon

A hexagon has n = 6 sides, therefore, each interior angle of a hexagon is found by substituting n = 6 into equation (ii)

k = 180(6 - 1) ÷ 6

k = 180(5) ÷ 6

k = 180 x 5 ÷ 6

k = 900 ÷ 6

k = 150°

Convert to grade.

Remember that;

90° = 100 grades

∴ 150° = [tex]\frac{150 * 100}{90}[/tex] grades

⇒ 150° = 166.67 grades.

Therefore, each interior angles of a regular hexagon is 150° or 166.67 grades.

(e) Heptagon

A heptagon has n = 7 sides, therefore, each interior angle of a heptagon is found by substituting n = 7 into equation (ii)

k = 180(7 - 1) ÷ 7

k = 180(6) ÷ 7

k = 180 x 6 ÷ 7

k = 1080 ÷ 7

k = 154.29°

Convert to grade.

Remember that;

90° = 100 grades

∴ 154.29° = [tex]\frac{154.29 * 100}{90}[/tex] grades

⇒ 154.29° = 171.43 grades.

Therefore, each interior angles of a regular heptagon is 154.29° or 171.43 grades.

(f) Octagon

An octagon has n = 8  sides, therefore, each interior angle of a octagon is found by substituting n = 8 into equation (ii)

k = 180(8 - 1) ÷ 8

k = 180(7) ÷ 8

k = 180 x 7 ÷ 8

k = 1260 ÷ 8

k = 157.5°

Convert to grade.

Remember that;

90° = 100 grades

∴ 157.5° = [tex]\frac{157.5 * 100}{90}[/tex] grades

⇒ 157.5° = 175 grades.

Therefore, each interior angles of a regular octagon is 157.5° or 175 grades.

(g) Nonagon

A nonagon has n = 9 sides, therefore, each interior angle of a nonagon is found by substituting n = 9 into equation (ii)

k = 180(9 - 1) ÷ 9

k = 180(8) ÷ 9

k = 180 x 8 ÷ 9

k = 1440 ÷ 9

k = 160°

Convert to grade.

Remember that;

90° = 100 grades

∴ 160° = [tex]\frac{160 * 100}{90}[/tex] grades

⇒ 160° = 177.78 grades.

Therefore, each interior angles of a regular nonagon is 160° or 177.78 grades.

(h) Decagon

A decagon has n = 10 sides, therefore, each interior angle of a decagon is found by substituting n = 10 into equation (ii)

k = 180(10 - 1) ÷ 10

k = 180(9) ÷ 10

k = 180 x 9 ÷ 10

k = 1620 ÷ 10

k = 162°

Convert to grade.

Remember that;

90° = 100 grades

∴ 162° = [tex]\frac{162 * 100}{90}[/tex] grades

⇒ 162° = 180 grades.

Therefore, each interior angles of a regular decagon is 162° or 180 grades.

9514 1404 393

Answer:

  it depends. 365.05  or  3.6505×10²

Step-by-step explanation:

In the US, 365.05 is already in standard form.

In the UK, "standard form" is the same as "scientific notation", so the number would be ...

  3.6505×10²

Answer:

-80, 4, 5, 6, 19, 24, 24, 24, 24

Answer:

(a) [tex]t= -1.540[/tex]

(b) [tex]0.10 < p < 0.20[/tex]

(c) Fail to reject [tex]H_o[/tex]

Step-by-step explanation:

Given

[tex]H_o: =18[/tex]       [tex]H_a: \ne 18[/tex]

[tex]n = 48[/tex]

[tex]\bar x = 17[/tex]

[tex]\sigma = 4.5[/tex]

Solving (a): The test statistic

This is calculated as:

[tex]t= \frac{\bar x - \mu_o}{\sigma/\sqrt n}[/tex]

So, we have:

[tex]t= \frac{17 - 18}{4.5/\sqrt{48}}[/tex]

[tex]t= \frac{- 1}{4.5/6.93}[/tex]

[tex]t= \frac{- 1}{0.6493}[/tex]

[tex]t= -1.540[/tex] --- approximated

Solving (b): Range of p value

First, calculate the degree of freedom (df)

[tex]df = n - 1[/tex]

[tex]df = 48 - 1[/tex]

[tex]df = 47[/tex]

Using:

[tex]\alpha = 0.05[/tex] --- significance level

The p value at: [tex]df = 47[/tex] is:

[tex]p = 0.065133[/tex]

and the range is:

[tex]0.05 * 2 < p < 2 * 0.10[/tex]

[tex]0.10 < p < 0.20[/tex]

Solving (c): The conclusion

Compare the p value to the level of significance value

We have:

[tex]p = 0.065133[/tex]

[tex]\alpha = 0.05[/tex]

By comparison:

[tex]p > \alpha[/tex]

because:

[tex]0.065133 > 0.05[/tex]

Hence, the conclusion is: fail to reject [tex]H_o[/tex]

Answer:

D. point and line

Step-by-step explanation:

Edgunuity

The pair of undefined terms which is used to define a ray is point and line

Option 4 is the correct answer.

Line - It has no fixed points it extends infinitely on both ends.

Line segment - It has two fixed endpoints and does not extend infinitely on any end.

Ray - It has one fixed point on one side and extends infinitely on the other side.

We have to define a ray.

A ray will have a fixed point on one end and extends infinitely on the other end.

i.e a point and a line.

Thus the pair of undefined terms which is used to define a ray is point and line

Learn more about opposite Ray here:

https://brainly.com/question/17491571

#SPJ5

Answer:

percentages

Step-by-step explanation:

20% of 50000

20/100 *50000

20 * 500

$10,000

Hi there!  

»»————-　★　————-««

I believe your answer is:  

-6, -7, -8

[tex]\boxed{x<-5}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x<-5}\\\\\text{The inequality sign is flipped because we divided by a negative value.}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.