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____ [38]
3 years ago
12

Please help ASAP! Correct answer only! This assignment is due today.

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0

Answer:

<em>Probability ≈ 0.0714</em>

Step-by-step explanation:

Consider permutation and combination;

Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714

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In how many ways can 4 light bulbs be selected from a batch of 43 lights bulbs to be tested for defects? Assume no light bulb wi
lesantik [10]

Answer:

There are 123,410 ways

Step-by-step explanation:

The number of ways or combinations in which we can select k elements from a group of n elements is given by:

\frac{n!}{k!(n-k)!}

In this case, we can replace n by 43 and k by 4, because we are going to select 4 light bulbs from a batch of 43 light bulbs.

So, the number of combinations is calculated as:

\frac{43!}{4!(43-4)!}=123,140

It means that there 123,410 ways to select 4 light bulbs from a batch of 43 lights bulbs to be tested for defects

6 0
4 years ago
R(x) = (500 + ax) (50 - bx)
o-na [289]

Answer:

x

=

−

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±

√

250000

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+

2500

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100

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R

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Step-by-step explanation:

4 0
3 years ago
Please help!! With step by step
Sever21 [200]

Answer:

R=\$145.12

Step-by-step explanation:

<u>Compound Interest</u>

This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.

The present value PV or the principal can be calculated with

P=F_a\cdot R

Solving for R

\displaystyle R=\frac{P}{F_a}

Where Fa is computed by

\displaystyle F_a=\frac{1-(1+i)^{-n}}{i}

We'll use the provided values but we need to convert them first to monthly payments

i=7\%=7/(12\cdot 100)=0.00583

n=3*12=36

\displaystyle F_a=\frac{1-(1+0.00583)^{-36}}{0.00583}

F_a=32.386

Thus, each payment is

\displaystyle R=\frac{4,700}{32.386}=145.12

\boxed{R=\$145.12}

4 0
3 years ago
What is the value of x?
kap26 [50]
FSJ is similar to DYJ

DY || FS

42/63 = 50/x

2/3 = 50/x

x = 75
3 0
4 years ago
Jason wrote 1-1/3 as the sum of three fractions. None of the fractions had a denominator of 3. What fractions might Jason might
WINSTONCH [101]

Answer:

anything with denominators of 9

Step-by-step explanation:

5 0
3 years ago
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