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3 years ago

Is (0,6) a solution of the equation y=x+6 ?

Mathematics

2 answers:

raketka [301]3 years ago

8 0

Answer:

Step-by-step explanation:

Nitella [24]3 years ago

8 0

Yes, if we plug 0 as x and 6 as y we get 6=0+6. Which is 6=6.

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PLZZZ HELP ME WITH THIS

STALIN [3.7K]

Answer:

just use the Ruler to measure the lines

4 0

3 years ago

Ms.hernandez is taking her children and their friends to the movies. She will pay $10 for her adult tickets and $7 for each chil

astraxan [27]

Answer:

10a + 7c < 40

Step-by-step explanation:

5 0

3 years ago

A computer retail store has 1414 personal computers in stock. A buyer wants to purchase 33 of them. Unknown to either the retail

Lorico [155]

Answer:

a) 364 ways

b) 45.33% probability that exactly one of the computers will be defective.

c) 54.67% probability that at least one of the computers selected is defective.

Step-by-step explanation:

The computers are chosen without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

14 computers, so N = 14.

3 defective, so k = 3.

3 will be purchesed, so n = 3.

A) In how many different ways can the 3 computers be chosen?

3 from a set of 14. So

$C_{14,3} = \frac{14!}{3!(14-3)!} = 364$

364 ways

B) What is the probability that exactly one of thecomputers will be defective?

This is P(X = 1).

$P(X = 1) = h(1,14,3,3) = \frac{C_{3,1}*C_{11,2}}{C_{14,3}} = 0.4533$

45.33% probability that exactly one of the computers will be defective.

C) What is the probability that at least one of the computers selected is defective?

Either none is, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = h(0,14,3,3) = \frac{C_{3,0}*C_{11,3}}{C_{14,3}} = 0.4533$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.4533 = 0.5467$

54.67% probability that at least one of the computers selected is defective.

5 0

3 years ago

In the figure, use similar triangles and the fact that corresponding sides are proportional to find the missing length.

Phoenix [80]

Answer:

<u><em>The missing length, x, is equal to 7 m.</em></u>

Explanation:

In the figure, the two triangles are similar because they show two pairs of congruent angles and one pair of different sides.

The two upper vertices are marked each with a line which indicates that they are congruent, i.e. they have the same measure.

Also, the small squares shown in each of the bases indicate that those two angles are right, i.e. they measure 90°.

Since the two sides adjacent to the right angles have different lengths, the triangles are not congruent but similar.

By similarity, you can state that the corresponding parts keep the same ratio. Thus:

x / 8m = 21m / 24m

x = 8m × 21 m / 24 m (muliply both sides by 8m)

x = 21 m / 3 (simplify dividing numerator and denominator by 8m)

x = 7 m (simplify dividing by 3)

Answer x = 7 m

5 0

4 years ago

A line passes through the points ( -5, 1) and ( 2, -9) what is the slope of the line?

Reika [66]

Answer:

slope=(y2-y1)/(x2-x1)

where (x1, y1)=(-5,1)

(X2,y2)=(2,-9)

slope=(-9-1)/(2+7)=-10/9

3 0

3 years ago