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3 years ago

Can anyone help me on the last question?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

A' is everything what is not A

So:

A' = {9, 10, 11, 12, 13, 15, 16}

Number of ways it can happen: |A'| = 7

Total number of outcomes: |Ω| = 10

Probability of an event happening:

$\bold{P(A')=\dfrac{|A'|}{|\Omega|}=\dfrac7{10}=0.7}$

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Evaluate the expression 11C4.

kicyunya [14]

The correct answer is: 330

Explanation:

The formula for combination is given as follows:

$^nC_r = \frac{n!}{r! (n-r)!}$ --- (1)

Where n = 11

r = 4

Plug in the values in equation (1) and calculate:

$^nC_r = \frac{n!}{r! (n-r)!} \\ ^{11}C_{4} = \frac{11!}{4! (11-4)!} \\ ^{11}C_{4} = \frac{11*10*9*8*(7!)}{4! (7)!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4*3*2*1} \\ ^{11}C_{4} = 330 \\$

Hence the correct answer is 330.

8 0

2 years ago

Read 2 more answers

What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5?

Mila [183]

Average rate of change refers to the slope of a function/equation.
To solve this, plug in for both x values and calculate the average, or mean.

x = 1
f(1) = 5(2)^1
= 5(2)
= 10

x = 5
f(5) = 5(2)^5
= 5(32)
= 160

Now, you calculate the average:
10 + 160 = 170
Divide by 2 and you get 85.

5 0

2 years ago

What is the slope and y-intercept of the line 3x - 4y = 12?*

Lorico [155]

Answer:

m = 3/4; b = -3

Step-by-step explanation:

1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:

$3x-4y = 12\\-4y = -3x+12\\y = \frac{3}{4} x-3$

2) Lines that are in slope-intercept form are represented by the formula $y = mx + b$ . The number in place of $m$ , or the coefficient of the x-term, represents the slope. The number in place of $b$ represents the y-intercept. So, the slope of $y = \frac{3}{4} x-3$ is $\frac{3}{4}$ , and its y-intercept is -3.

5 0

3 years ago

What is the numerator of the fraction equivalent to 3\5 that has a denominator of 30

aliya0001 [1]

Well, the numerator is the number on top, so in the fraction 3/5, 3 is the numerator. To find the equation with a denominator of 30 that is equivalent, find what the difference is. 30/5 = 6. So now, multiply the numerator by 6. 6 * 3 = 18. The new fraction is 18/30. The numerator is 18. Hope this helps!

3 0

3 years ago

In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB

zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

<em>Hence the measure of m∠DAB is 120 degrees</em>

6 0

3 years ago