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3 years ago

What are some solutions of the question 3x^2-5x+2=0?

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

3x²-5x+2=0

3x²-3x-2x+2=0

3x(x-1)-2(x-1)=0

(x-1)(3x-2)=0

either x-1=0 which gives x=1

or 3x-2=0

x=2/3

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Suppose that x is a binomial random variable with n=5, p=. 3,and q=. 7.1. Write the binomial formula for this situation and list

Radda [10]

Answer:

$P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}$

Possible values of x: Any from 0 to 5.

$P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807$

$P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015$

$P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087$

$P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323$

$P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835$

$P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243$

Step-by-step explanation:

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

In this question:

$n = 5, p = 0.3, q = 1 - p = 0.7$

$P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}$

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807$

$P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015$

$P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087$

$P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323$

$P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835$

$P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243$

8 0

3 years ago

What is the value of a+b?

MissTica

Answer:

125

Step-by-step explanation:

$a = \frac{1}{2} \times 90 \degree \\ \\ a = 45 \degree \\ \\ b =\frac{1}{2} (360\degree - 200\degree) \\ \\ b = 80\degree \\ \\ a + b = 45 + 80 \\ \\ a + b = 125 \degree$

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3 years ago

Here are the costs of the sametypes is shops shop a pack 4 batteries £1.60

dalvyx [7]

Answer:

Cost in shop A is lesser.

Step-by-step explanation:

Given:

Shop A 4 batteries cost = £1.60

Shop B 6 batteries cost = £2.70

Find:

Lower price

Computation:

Cost in shop A = £1.60 / 4

Cost in shop A = £0.4

Cost in shop B = £2.70 / 6

Cost in shop B = £0.45

Cost in shop A is lesser.

5 0

3 years ago

OBO QBODO 100

leva [86]

Answer:

Inverse variation k=4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem

The graph represent a inverse variation

Because

if x increases ----> y decreases

if x decreases ----> y increases

Find the value of k

we have that

For x=2, y=2 -----> see the graph

$k=y*x$

substitute

$k=2*2=4$

3 0

3 years ago

Can anyone help me plz

scZoUnD [109]

A and D are your answers

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