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Ierofanga [76]
2 years ago
9

Suppose we want to choose 7 colors, without replacement, from 9 distinct colors

Mathematics
1 answer:
Digiron [165]2 years ago
6 0

The number of ways to choose the colors is 36

<h3>How to determine the number of ways?</h3>

The given parameters are:

Colors = 9

Colors to choose = 7

Since order does not matter, then it is combination

This is calculated using:

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

This gives

^nC_r = \frac{9!}{7!2!}

Evaluate

^nC_r = 36

Hence, the number of ways is 36

Read more about combination at:

brainly.com/question/11732255

#SPJ1

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180-104=76

76x2=152

Answer is 152
8 0
3 years ago
The breaking strengths of cables produced by a certain manufacturer have a mean µ, of 1850 pounds, and a standard deviation of 9
saul85 [17]

Answer:

We accept H₀. We do not have argument to keep the claim that the mean breaking strength has increased

Step-by-step explanation:

Normal Distribution

Population Mean   μ₀  = 1850 pounds

Standard Deviation   σ  =  90 pounds

Type of test

Null Hypothesis                         H₀     ⇒    μ  =  μ₀

Alternative Hypothesis            Hₐ      ⇒    μ > μ₀

A one tail test  (right)

n = 21  as    n  < 30  we use t-student table

degree of fredom   20  

t = 2.845

Sample mean   μ = 1893

Then, we compute t statistics

t(s)  =  [ 1893 - 1850 ] / 90/ √n

t(s)  =   43 * 4,583 / 90

t(s)  = 197,069 / 90

t(s)  =  2,190

And we compare t  and  t(s)

t(s)  =  2.190

t =  2.845

Then  t(s)  <  t

We are in the acceptance zone, we accept  H₀

5 0
3 years ago
Consider the function represented by the equation y-x-4=0. What is the equation written in function notation,with x as the indep
Romashka-Z-Leto [24]
y-x-4=0\\&#10;y=x+4
5 0
4 years ago
Two boats are moving towards each other from harbours that are 144 km apart. One boat is moving at 63 km.h-1 and the other boat
castortr0y [4]

Answer: 1 hour

Step-by-step explanation:

Let distance1 = x km

Distance2 = 144 - x

Speed S1 = 63 kph

Speed S2 = 81 kph

Time = Distance / Speed

When the jets pass each other

(144-x) / 81 = x/63

63(144-x) = 81x

9072 - 63x = 81x

x = 9072 / 144

x = 63 km

Time = 63/63 = 1 hour

7 0
3 years ago
Evaluate the expression if n = –5. |n| 5 1 0 –5
Neporo4naja [7]
The absolute value of -5 is 5.
3 0
3 years ago
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