Tennis star Rafael Nadal lost at the Australian Open. How many Grand Slams has he won?

Answer:

Range = 32 ; IQR = 13 ; Variance = 92.75 ; Standard deviation = 9.63

Step-by-step explanation:

Given the data:

28, 42, 58, 48, 45, 55, 60, 49, 50

Reorderd data: 28, 42, 45, 48, 49, 50, 55, 58, 60

The range: maximum - minimum

Range = 60 - 28 = 32

Interquartile range (IQR) : Q3 - Q1

Q3 = 3/4(n+1) th term. ; n = sample size

Q1 = 1/4(n+1)th term.

Using calculator :

Q3 = 56.5 ; Q1 = 43.5

IQR = 56.5 - 43.5 = 13

The variance :

Σ(X - m)^2 / n-1

m = Σx / n

Mean, m = 435 / 9 = 48.33

Variance :

[(28-48.33)^2 + (42-48.33)^2 + (45-48.33)^2 + (48-48.33)^2 + (49-48.33)^2 + (50-48.33)^2 + (55-48.33)^2 + (58-48.33)^2 + (60-48.33)^2] / 8

= 742.0001 / 8

= 92.75

Standard deviation = sqrt(Variance):

Sqrt(92.75) = 9.63

C.)

Sample mean are very close with a slightly greater Variability in the air quality of Anaheim over Pomona

Answer:

Step-by-step explanation:

-7 which set of number belongs, betwen

Natural

Whole

Intergers

Rational

Irrational

Real

Answer:

[tex] Area \: of \: rhombus =96\: cm^2 [/tex]

Step-by-step explanation:

[tex] d_1= 2\times 8 = 16\: cm[/tex]

[tex] d_2= 2\times 6 = 12\: cm[/tex]

[tex] Area \: of \: rhombus =\frac{1}{2} d_1d_2[/tex]

[tex] Area \: of \: rhombus =\frac{1}{2}\times 16 \times 12[/tex]

[tex] Area \: of \: rhombus =8 \times 12[/tex]

[tex] Area \: of \: rhombus =96\: cm^2 [/tex]

Answer:

x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average rate of change is (y2-y1)/(x2-x1)

(2(11)-5-2(8)+5)/(11-8)

6/3

2

However since y =mx+b where m is the slope or rate of change we can see that m=2 without calculating.

Answer:

90/100

Step-by-step explanation:

both equal 0.9

Answer:

[tex]\frac{90}{100\\}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}[/tex] equals [tex]\frac{90}{100\\}[/tex]

By multiplying the numerator and denominator of [tex]\frac{9}{10}[/tex] by 10, we get [tex]\frac{90}{100\\}[/tex] .

9 x 10 = 90

10 x 10 = 100

Answer:

A

Step-by-step explanation:

Answer:

1630.77

Step-by-step explanation:

795 * 20% = 159

159 divided 9.75% equals 1630.77

hope this helps :)

Answer:

14

Step-by-step explanation:

Since both the chords are equidistant from the center of the circle, so their lengths would be same.

x = 2*7 = 14

Answer:

12)f(x)=2x-6

=》f(3)=2(3)-6

=》6-6=0

f(×)=2x-6

f(0)=-6

=》f(-2)=2(-2)-6

=》-4-6

=-10

13)h(3)=6(3)+2

=》18+2

=20

h(0)=0+2

=2

h(-2)=6(-2)+2

=》-12+2

=-10

Answer:

a. False

b. True

c. True

Step-by-step explanation:

The statement a is false and the other two statements are true. Adding a multiple of one column not only changes the sign of the determinant but also the variables are changed. When two rows of square matrix are equivalent then the determinant is zero which means when one row is multiple of another row the determinant is zero.

Slope of the line shown is option C. 3.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given is a line.

The two points that the line passes through is given.

(4, 8) and (2, 2)

Slope of a line passing through two points can be found as,

Slope = (Change in y coordinates ) / (Change in x coordinates)

Here the points are (4, 8) and (2, 2),

Slope = (2 - 8) / (2 - 4)

          = -6 / -2

          = 3

Hence the slope of the line given is 3.

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Answer:

x > -6.33

Step-by-step explanation:

-3x + 4 < 25

-3x + 4 - 4 < 25 - 4

-3x < 19

-3x/3 < 19/-3

x > -6.33

Answer:

x> -7

Step-by-step explanation:

Subtract 4 from both sides:

−3x+4−4<25−4

Simplify:

−3x<21

Multiply both sides by −1 (reverse the inequality)

(−3x)(−1)>21(−1)

Simplify again:

3x>−21

Divide both sides by 3

(3x/3) >(−21/3 )

Simplify again to get the result!

x > -7

Answer:

15 orders

Step-by-step explanation:

The computation of the orders did the company ship between 193 and 194 is given below:

= 1 dot + 2 dot + 3 dot + 8 dot + 1 dot

= 15 orders

We just simply count the total dots shown in the attached image in order to determine the number of orders

Answer:

24÷8=3

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.

Answer:

1200

Step-by-step explanation:

If 24 is 2%, 100% would be 1200 because if you multiply 2 by 50 you get 100% so you multiply 24 by 50 which is 1200

Answer:

20.

Step-by-step explanation:

The strategy here is to see how many times the "percent number" (in this case, 25) goes into 100, and then count by that number until we reach 100-the whole thing. Here, we're told that 25% of a number is 5. So, to find 100% of the number, we count by 25s up to 100: 25, 50, 75, 100. 100% is 20.

Answer:

umm lettders dont go in math pst this in englash

Step-by-step explanation

yeet

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

Answer:

19 units

Step-by-step explanation:

use distance formula: d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2+y_1)^{2}}[/tex]

x₂ = 10

x₁ = -1

y₂ = 6

y₁ = 6

now plug in

[tex]\sqrt{(10-(-9))^{2}+(6-6)^{2}}\\= \sqrt{19^{2}+0^{2}\\}\\= \sqrt{361}\\= 19[/tex]

Answer:

-3

Step-by-step explanation:

15 = -3(x -2)

-5=x-2

-3=x

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

15 = -3(x - 2)

Step 2: Solve for x

Answer:

Step-by-step explanation:

1000 g × (1 cm³)/(1.6 g) = 1000/1.6 cm³ = 625 cm³

:::::

250 g × (1 cm³)/(2.8 g) = 89.3 cm³

Answer:

20 is a composite number.

Ways that can be arranged:

5 x 4

10 x 2

20 x 1

Answer:

Once upon a time, there was a flock of doves that flew in search of food led by their king. One day, they had flown a long distance and were very tired. The dove king encouraged them to fly a little further. The smallest dove picked up speed and found some rice scattered beneath a banyan tree. So all the doves landed and began to eat.

Suddenly a net fell over them and they were all trapped. They saw a hunter approaching carrying a huge club. The doves desperately fluttered their wings trying to get out, but to no avail. The king had an idea. He advised all the doves to fly up together carrying the net with them. He said that there was strength in unity.

Each dove picked up a portion of the net and together they flew off carrying the net with them. The hunter looked up in astonishment. He tried to follow them, but they were flying high over hills and valleys. They flew to a hill near a city of temples where there lived a mouse who could help them. He was a faithful friend of the dove king.

Answer:

the gradient is 2/3

Step-by-step explanation:

you find the difference in the height and length, so in this case 2 divided by 3

The commission (in dollars) did he earn last month is 540$.

We have given

A salesman earns 6% commission on all the merchandise that he sells.

Last month he sold $9000 worth of merchandise.

Salesman earns 6% =6/100=0 .06

Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.

So we have to determine 6% of 9000

We can be written as

=0.06 x 9000,

= 540$

The commission (in dollars) did he earn last month is 540$.

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Answer:

sorry im not smart

Step-by-step explanation:

sorry

THis is akward lol