Using the frequency table below, what is the
probability of selecting a boy and a person who
bought 10 up to 20 lunches?

Step-by-step explanation:

By Pythagoras' theorem,

12^2 = 11^2 + height^2

height = ±√12^2 - 11^2 (rej -ve value since height > 0)

height = 16.279 (5sf) = 16.3 (nearest tenth place)

Topic: Pythagoras theorem

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In the first step apply the distributive property or FOIL to find zw. Option C is correct.

Given that,
Let z = 19 + i and w = 4 + 10i.
The first step is to be determined.

The number that constitute of real and imaginary numbers are called a complex numbers. Complex number is represents as z = a + ib, where a = real number and bi = imaginary number

z = 19 + i and w = 4 + 10i
in order to find the product of complex numbers z and w following are the steps,
z.w =   ( 19 + i )( 4 + 10i )

Step ⇒ 1
Applying distributive law,
   z.w = 19 * ( 4 + 10i ) + i * ( 4 + 10i )
Step ⇒ 2
opening the parenthesis,
z.w = 19 * 4 + 19*10i + i * 4 + i * 10i
similarly, further steps are
z.w = 76 + 190i +4i + 10i²
since i² = -1
z.w = 76 + 194i - 10
z.w = 66 + 194i

Thus, in the first step apply the distributive property or FOIL to find zw. Option C is correct.

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Answer:

C

Step-by-step explanation:

Apply the distributive property of FOIL

Answer:

Probability [Getting a red card] = 1/2

Step-by-step explanation:

Given:

Total number of cards = 52

Find:

Probability [Getting a red card]

Computation:

Total number of red cards = 26

Probability [Getting a red card] = 26/52

Probability [Getting a red card] = 1/2

Answer:

The time the two planes will meet is 1.43 hours

Step-by-step explanation:

Given;

speed of the first plane in positive direction, = 40 mph

speed of the second plane in negative direction(opposite direction) = -100 mph

distance between the two planes = 200 miles

Let the time the two planes will meet = t

the position of the first plane at this time "t" = 40t

the position of the second plane at this time "t" = -100t

(40t)>--------------------------------<(-100t), this space between them is 200 miles.

Thus, the difference in the distance they traveled before meeting should be equal to 200 miles.

40t - (-100t) = 200

40t + 100t = 200

140t = 200

t = 200 / 140

t = 1.43 hours

Therefore, the time the two planes will meet is 1.43 hours

Answer:

2,700

Step-by-step explanation:

thx for da points tee hee

Answer:

2700

Step-by-step explanation:

Answer:

9/8 or 1 1/8

Step-by-step explanation:

Answer:

9/8 or  1  1/8

Step-by-step explanation:

find common denominator, its 8 for this problem so put [tex]\frac{1}{2} = \frac{4}{8}[/tex]

[tex]\frac{5}{8} +\frac{4}{8} = \frac{9}{8}[/tex]

Use the Binomial Theorem to expand.

Answer:

19

Step-by-step explanation:

x - 8 + 21 ÷ 4 + 21 = 29

x - 8 + 21 ÷ 4 = 29 - 21

                     = 8

x - 8 + 21 = 8 x 4

              = 32

x - 8 = 32 - 21

       = 11

x = 11 + 8

  = 19

Therefore the number is 19. A bit confusing to me at first but I solved it :)

"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.

Thus the response above is right.

Learn more about credit cards here:

https://brainly.com/question/14829559

Answer:

13.6 inches

Step-by-step explanation:

We can use Pythagorean theorem: [tex]c=\sqrt{a^{2} +b^{2} }[/tex]

Let c be the diagonal length, a for length, and b for width.

Substitute the values.

[tex]c=\sqrt{11^{2}+8^{2} }[/tex]

c=13.6 inches

I believe the correct answer from the choices listed above is the first option. The equation that can be used to solve the problem would be x + (x + 9) = 47.

The sum of two numbers is 47. ---> x + y = 47 where x is the smaller number and y is the larger.  

The greater number is 9 more than the smaller number.  -----> y = x + 9  

x + ( x + 9 ) = 47

Answer:

x + (x + 9) = 47

Step-by-step explanation:

This equation can be used to solve for

This equation can be used to solve forthe smaller number.

Answer:

The inequality x>2 matches the graph.

Step-by-step explanation:

From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.

If the inequality includes < or >, we graph the equation as a dotted line.

From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.

so the interval of the domain of the inequality is: (2, ∞)

Therefore, the inequality x>2 matches the graph.

Answer:

it was first called "pi" in 1706 by William Jones, because pi is the first letter in the Greek word perimitros, which means "perimeter."

Answer:

Denominator is the hidden word.

Step-by-step explanation:

8/18, 9/27, 42/48, 21/70, 14/35, 8/30, 15/39, 18/100, 8/64, 70/98, and 63/81 are all not in simplest form. Their letters (ENAMNIODOTR) unscramble to "denominator."

Answer:20 degrees

Step-by-step explanation:

Answer:

6.93 so in a mixed number is 693/100

Answer:

0

Step-by-step explanation:

=(5+5)-(5+5) <-- Do what's inside the parenthesis first

=10 - 10 <-- Subtract

=0

Answer: #2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

because they are going down by 4. So just subtract 4.

Answer:

Step-by-step explanation:

What are the choices?

Answer:

A) Z = -0.24

We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.

B) Q1 = 36.8 and Q3 = 41

C)IQR = 4.2

This means that the distance between the first and third quartile is 4.2

D) LF = 30.5 and UF = 47.3

the only outlier is 48.9 which is more than UF

Step-by-step explanation:

We are given the data representing the miles per gallon of a random sample of cars with a three-cylinder as;

32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9

Sum of data is;

ΣX = 32.7 + 35.7 + 38.0 + 38.7 + 40.1 + 42.3 + 34.3 + 36.2 + 38.1 + 39.0 + 40.6 + 42.9 + 34.5 + 37.4 + 38.3 + 39.4 + 41.4 + 43.4 + 35.3 + 37.6 + 38.5 + 39.7 + 41.7 + 48.9 = 934.7

Formula for mean is;

μ = ΣX/n

μ = 934.7/24

μ = 38.95

Formula for sample standard deviation of is;

s = √[(1/(n - 1))Σ(X - μ)²]

From online calculator, we have a value of;

s = 3.505

A) Formula for z-score is;

Z = (x - μ)/s

We are given x = 38.1

Thus;

Z = (38.1 - 38.95)/3.505

Z = -0.24

We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.

B) Arranging the set of given values in ascending order, we have;

32.7, 34.3, 34.5, 35.3, 35.7, 36.2, 37.4, 37.6, 38.0, 38.1, 38.3, 38.5, 38.7, 39.0, 39.4, 39.7, 40.1, 40.6, 41.4, 41.7, 42.3, 42.9, 43.4, 48.9

Number of data; n = 24

First quartile is;

Q1 = ((n + 1)/4)th = ((24 + 1)/4)th = 25/4 = 6.25th term

Thus, we will find the average of the 6th and 7th term;

Q1 = (36.2 + 37.4)/2

Q1 = 36.8

Similarly;

Q3 = ¾(n + 1)th = ¾(24 + 1)

Q3 = ¾ × 25 = 18.75th term

Thus, we will find the average of the 18th and 19th term.

Q3 = (40.6 + 41.4)/2

Q3 = 41

C) Formula for inter quartile range is;

IQR = Q3 - Q1

IQR = 41 - 36.8

IQR = 4.2

This means that the distance between the first and third quartile is 4.2

D) Formula for lower fence is;

LF = Q1 - (1.5 × IQR)

LF = 36.8 - (1.5 × 4.2)

LF = 30.5

Formula for upper fence is;

UF = Q3 + (1.5 × IQR)

UF = 41 + (1.5 × 4.2)

UF = 47.3

Now, an outlier will be any values in the given set less than LF or more than UF.

From the given set, the only outlier is 48.9 which is more than UF

Answer:

A and D

Step-by-step explanation:

0.45 - 0.23 = 0.22

0.45(8) = 3.60

Answer:

(x+8y)(x-8y)

Step-by-step explanation:

8 squared is 64 and so is y for y^2.

One positive and a negative turns into a negative, so that's why it's only one.

Answer:

5 to 8

Step-by-step explanation:

bc u divide the numerator and denominator by 4

Answer:

The chemical reaction is due to chemical change in the chemicals within the light stick so it shows off color.

Step-by-step explanation:

The chemicals in the light stick interact with each other. This cause them to come together and give off a color of light.

r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .

the angles must be congruent to 2 are 3, 6 , 7

Answer:

r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .

the angles must be congruent to 2 are 3, 6 , 7

Step-by-step explanation:

Answer:

The median is 6.5