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omeli [17]
3 years ago
7

In the exercise, X is a binomial variable with n = 5 and p = 0.2. Compute the given probability. Check your answer using technol

ogy. HINT [See Example 2.] (Round your answer to five decimal places.) P(X = 3)
Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

0.0512

Step-by-step explanation:

We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.

The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x

In the above question,

x = 3

n = 5

p = probability for success = 0.2

q = probability for failures = 1 - 0.2 = 0.8

P(x) = (n!/(n - x) x!) × p^x × q ^n - x

P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3

P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²

P(3) = 10 × 0.008 × 0.64

P(3) = 0.0512

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Matters has 456:8 What s his rate
Olegator [25]

We are given ratio 456:8.

The given ratio can be written in fraction form as \frac{456}{8}

In order to find the rate, we need to divide 456 by 8, because it would give the unit value.

When we divide 456 by 8, we first take multiple of 8 closer to the number 45.

8*6=48 but it's greater than 45, so we would take 8*5 =40.

Subtracting 40 from 45, we get 5.

Getting 6 down, we get 56. Take multiple of 8 upto 56.

8*7= 56.

56 -56=0.

So, on dividing 456 by 8 we got 57.

Therefore, rate is 57 per unit.


3 0
3 years ago
What is the quadratic function that is created with roots at 2 and 4 and a vertex at (3, 1)?
Arada [10]
Hello,

y=k*(x-2)(x-4)
and is passing throught (3,1)
==>1=k*(3-2)(3-4)==>k=-1

y=-(x-2)(x-4) is an answer
4 0
3 years ago
Ms Durham buys a metre of fabric. She cuts off 30) cm. The amount of fabric left in<br> cm is?
oksian1 [2.3K]
70 cm

ex:
100 cm in a meter
so you’d do 100-30 cm
and that equals 70 centimeters
6 0
3 years ago
If a=(-1, -3) and b=(11, -8) what is the length of ab?
professor190 [17]

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

8 0
3 years ago
Nicolas wants to rent a carpet shampoo machine. Store A charges a flat fee of $25 plus $8 for each day a customer keeps the mach
GenaCL600 [577]

Answer:

8x+25=5x+35 (x=10/3)

Step-by-step explanation:

The equation for Store A would be: y(cost) = 8x(days) + 25

The equation for Store B would be: y = 5x + 35

So, since he wants the cost to be the same, 8x+25=5x+35

6 0
2 years ago
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