Find the median and mean of the data set below: 6 , 37 , 2 , 38 , 1 , 3 , 46 6,37,2,38,1,3,46

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Work Shown:

LM/PQ = MN/QR

13/56 = 10/x

13*x = 56*10

13x = 560

x = 560/13

x = 43.0769 approximately

x = 43.1

Segment QR is roughly 43.1 units long.

Answer:

QR = 43.1

Step-by-step explanation:

since they are similar use these ratios

NM/QR = LM/PQ

10/QR = 13/56

do cross multiplication

QR*13 = 56*10

QR = 560/13

QR = 43.07

QR = 43.1

therefore the measure of side QR is 43.1.

This converts to the improper fraction 7/4

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Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4

Answer:

A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )

Step-by-step explanation:

The matrix

[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]

This is a 3 x 3 matrix  

Attached below is the prove that A is diagonalizable  

Answer:

Slope = -2

Step-by-step explanation:

Point 1 (-1, 2)

Point 2 (1, -2)

Formula to find slope = y2 - y1 / x2 - x1

Slope = 2-(-2) / -1-1

Slope = 4 / -2

Slope = -2

Answer:

ok so

8.5*150000

1275000 cm into kilometers is

12.75 kilometers

Hope This Helps!!!

Answer:

It is there difference:

20-5

15

is 20 ÷ 5 the question? if so he was penalized 4 times. 5 × 4 is 20

Answer:

See below.

Step-by-step explanation:

14.

12.5/2.5 = 5

15.

(i) [(-75)/15]/5 = -5/5 = -1

(ii) 13 / [(-2) + 1] = 13 / (-1) = -13

16.

(i) 39 + (-24) - 15 = 0

36 + (-52) - (-36) = 20

Answer: <

(ii) (-10) - 4 = -14

(-10) - (-4) = -10 + 4 = -6

Answer: <

17.

He reads 1/4 book in 1 hour.

He reads 1 book in 4 hours.

In 2 1/6 hours he reads:

(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book

(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15

(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6

Answer:

14. 5

15. (i) -1     (ii) -13

16. (i) <    (ii) <

17. 24/13

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

a) 0.5447

b) 0.0228

c) 0.4325

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes.

This means that [tex]\mu = 9.6, \sigma = 2.3[/tex]

a. between 5 and 10 min

This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5. So

X = 10

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 9.6}{2.3}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a p-value of 0.5675

X = 5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 9.6}{2.3}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

0.5675 - 0.0228 = 0.5447 probability that a randomly received emergency call is between 5 and 10 minutes.

b. less than 5 min

p-value of Z when X = 5, which from item a), is 0.0228, so 0.0228 probability that a randomly received emergency call is of less than 5 minutes.

c. more than 10 min

1 subtracted by the p-value of Z when X = 10, which, from item a), is of 0.5675.

1 - 0.5675 = 0.4325

0.4325 probability that a randomly received emergency call is of more than 10 minutes.

Answer:

1/9 √57

Step-by-step explanation:

the length of HG = √(3√3² - 2√2²)

= √(27-8) = √19

sin L F = HG/GF = √19/ 3√3

= 1/9 √57

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

1389

Step-by-step explanation:

hope this helps?

ANSWER

D

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

hey can you explain cause IM reading  my self and id  be happy to help if you  oh you have a picture oh the answer is...

Step-by-step explanation:

Answer:

Move each point, one by one, 5 units down

so, D(-7,10) becomes [tex]D^{1}[/tex](-7,5). Y value was decreased by 5

Answer:

10.9 %

Step-by-step explanation:

46 - 41 = 5

5/46 * 100% = 10.8695652174%

Rounded

10.9 %

Answer:

[tex]\approx 15.9[/tex]

Step-by-step explanation:

The length of an arc with measure [tex]\theta[/tex]  and radius [tex]r[/tex] is given by [tex]\ell_{arc}=2r\pi\cdot \frac{\theta}{360}[/tex]. From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by [tex]\angle AOC[/tex] subtracted from 360. The measure of the arc formed by [tex]\angle AOC[/tex] consists of two congruent angles, [tex]\angle AOB[/tex] and [tex]\angle COB[/tex]. To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

We have:

[tex]\cos \angle AOB=\cos \angle COB=\frac{4}{10},\\\angle AOB=\arccos(\frac{4}{10})=66.42182152^{\circ}[/tex]

Therefore, [tex]\angle AOC=2\cdot 66.42182152=132.84364304^{\circ}[/tex]

The measure of the central angle of [tex]\widehat{ADC}[/tex] must then be [tex]360-132.84364304=227.15635696^{\circ}[/tex]

Thus, the length of [tex]\widehat{ADC}[/tex] is equal to:

[tex]\ell_{\widehat{ADC}}=2\cdot 4\cdot \pi \cdot \frac{227.15635696}{360},\\\ell_{\widehat{ADC}}=15.8585053832\approx \boxed{15.9}[/tex] (three significant figures as requested by question).

Answer:

ñkxkdbdidvdv

Step-by-step explanation:

hsu3jdjfiebdic ic8 e

Answer:

so ....where is the question?

Answer:

No solution is possible from the information provided

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

Multiply 9(-3) = -27

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: 9 \: (4x - 15)[/tex]

Plugging in the value [tex]x = 3[/tex] in the above expression, we have

➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]

➼ [tex] \: 9 \: (12 - 15)[/tex]

➼ [tex] \: 9 \: ( - 3)[/tex]

➼ [tex] \: - 27[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

He must sell 20,000 to make the same amount

Step-by-step explanation:

Option A

25 h   where hourly rate time number of hours ( 40 hours)

25 * 40 = 1000

Option B =

.05 * s  where s is the amount of sales and 5% commission

We want them to be equal

1000 = .05s

Divide each side by .05

1000/.05 = .05s/.05

20000 = s

He must sell 20,000 to make the same amount

Answer:

This will decrease the margin of error associated with your 90% confidence interval.

Step-by-step explanation:

Margin of error:

The margin of error of a confidence interval is given by a formula that follows the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.

From the formula:

M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.

In this question:

Sample size increases from 5 to 10, so the margin of error decreases.

Answer:

[tex]\approx 0.59\text{ ft by }0.91\text{ ft}[/tex]

Step-by-step explanation:

Let [tex]\ell[/tex] represent the length of the rectangle. The width can be represented as [tex]0.64\ell[/tex].

The perimeter of a rectangle with lengths [tex]l[/tex] and [tex]w[/tex] is given by [tex]p=2l+2w[/tex].

Thus, we have:

[tex]2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91[/tex]

The width is then [tex]0.64(0.91463414634)=0.58536585365\approx 0.59[/tex].

The limit as x approaches 1 from either side should match, so that

[tex]\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2[/tex]

[tex]\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1[/tex]

==>   a - 2 = 1   ==>   a = 3

The answer is a = 3.

Finding Left Hand Limit (LHL)

[tex]\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a[/tex]

Finding Right Hand Limit (RHL)

[tex]\displaystyle \lim_{x \to \11^{+}} f(x) = 1[/tex]

For a continuous function, LHL = RHL

Answer - Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Answer:

G.o.o.g.l.e

Step-by-step explanation:

If you search up 'f(x)=10(2)x' on g.o.o.g.l.e it will draw the graph for you.

If this helps you, please give brainliest!

Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.