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alekssr [168]
3 years ago
10

Use: Ck = k! (n-k)!

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

3 ways.

Step-by-step explanation:

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

2 meats from a set of 3(steak, fish or chicken). So

C_{3,2} = \frac{3!}{2!1!} = 3

3 ways.

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Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectiv
Ulleksa [173]

Answer:

m∠A = 90°

Step-by-step explanation:

In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!

m∠B = m∠C

11x - 10 = 7x + 10

4x - 10 = 10

4x = 20

x = 5

Now let's insert x back in the expressions for angles.

m∠B = (11x − 10)° = (11(5) − 10)° = 45°

m∠C = (7x + 10)° = (7(5) + 10)° = 45°

<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.

m∠A + m∠B + m∠C = 180°

m∠A + 45°+ 45° = 180°

m∠A  = 90°

7 0
1 year ago
in 2005 a car was sold new for $12,500. in 2008 value of the car was $8750. find the percent. decrese
Lady_Fox [76]
N-O
———-
O

(New - old
—————
O)

8750-12500
——————-
12500

-3750
————
12500

=030%
7 0
3 years ago
PLZ SOMEONE HELP ME I NEED HELP PLEASEE
dezoksy [38]

Answer:

about 35 years rounding its 36

Step-by-step explanation:

i converted evrything to positive and did 1371 minus 1296 to get 75 and i divided that by 2.0834

4 0
3 years ago
Read 2 more answers
Is change in math always represented as a positive number even when its negative?
beks73 [17]
I think you mean like a number decreasing at a percentage. Yea it’s gonna be positive cause like it’s a number but then it’s probably gonna say decreasing making it negative or increasing making it positive. I’m pretty sure, correct if I’m wrong.
5 0
3 years ago
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc
Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when M = 0.3, \sigma = 4.103. So

M = z*\frac{\sigma}{\sqrt{n}}

0.3 = 1.96*\frac{4.103}{\sqrt{n}}

0.3\sqrt{n} = 1.96*4.103

\sqrt{n} = \frac{1.96*4.103}{0.3}

(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}

n = 718.57

Rouding up

We need a sample size of at least 719

6 0
3 years ago
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