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____ [38]
3 years ago
11

Find the value of x and the length of each side ​

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

The 3 sides of the triangle are  PR =  8.4, OR =  5.4 and OP =  3.1

Step-by-step explanation:

Step 1 :

Given

PR = 3x - 0.6

OP = x +  0.1

OR = x + 2.4

Also the 2 sides OR and PR are said to be equal.

So we have OR = PR

=> 3x - 0.6 =  x + 2.4

=>  x = 2.4 + 0.6 => x = 3

Step 2 :

we have ,

PR = 3x - 0.6 = 3(3) - 0.6 = 8.4

OR =  x + 2.4 = 3 + 2.4 = 5.4

OP = x + 0.1 = 3 + 0.1 = 3.1

Step 3 :

Answer :

The 3 sides of the triangle are

PR =  8.4

OR =  5.4

OP =  3.1

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What is the equation of the linear function represented by the table?
serg [7]
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3 years ago
Determine the following:
dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997

(b) for n = 10 and π = 0.40, what is P(X = 9)?

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

(c) for n = 10 and π = 0.50, what is P(X = 8)?

P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047

(d) for n = 6 and π = 0.83, what is P(X = 5)?

P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018

3 0
3 years ago
Palawbhehrht awnser yes or mo
wariber [46]

Answer:

yes

Step-by-step explanation:

4 0
2 years ago
A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation
postnew [5]

Answer: P(22 ≤ x ≤ 29) = 0.703

Step-by-step explanation:

Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = output of the machine in ounces per cup.

µ = mean output

σ = standard deviation

From the information given,

µ = 27

σ = 3

The probability of filling a cup between 22 and 29 ounces is expressed as

P(22 ≤ x ≤ 29)

For x = 22,

z = (22 - 27)/3 = - 1.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.047

For x = 29,

z = (29 - 27)/3 = 0.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.75

Therefore,

P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703

6 0
3 years ago
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