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3 years ago

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Can help me with this Please?

1 answer:

pentagon [3]3 years ago

7 0

Answer:

where's the question at ?

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A line contains the points (-5, 3) and (0, -7). What is the equation of this line in slope-intercept form?

pychu [463]

Answer:

D. y = –2x – 7

Step-by-step explanation:

First, find the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m

$- \frac{3 - 7}{5 + 0} = -\frac{10}{5} = -2$

In this case, the y-intercept of [0, -7] is ALREADY given to you, so we would not have to go further in this case.

I am joyous to assist you anytime.

8 0

3 years ago

Read 2 more answers

Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacemen

SSSSS [86.1K]

Answer:

a.) 0.5

b.) 0.66

c.) 0.83

Step-by-step explanation:

As given,

Total Number of Batteries in the drawer = 10

Total Number of defective Batteries in the drawer = 4

⇒Total Number of non - defective Batteries in the drawer = 10 - 4 = 6

Now,

As, a sample of 3 is taken at random without replacement.

a.)

Getting exactly one defective battery means -

1 - from defective battery

2 - from non-defective battery

So,

Getting exactly 1 defective battery = ⁴C₁ × ⁶C₂ = $\frac{4!}{1! (4 - 1 )!}$ × $\frac{6!}{2! (6 - 2 )!}$

= $\frac{4!}{(3)!}$ × $\frac{6!}{2! (4)!}$

= $\frac{4.3!}{(3)!}$ × $\frac{6.5.4!}{2! (4)!}$

= $4$ × $\frac{6.5}{2.1! }$

= $4$ × $15$ = 60

Total Number of possibility = ¹⁰C₃ = $\frac{10!}{3! (10-3)!}$

= $\frac{10!}{3! (7)!}$

= $\frac{10.9.8.7!}{3! (7)!}$

= $\frac{10.9.8}{3.2.1!}$

= 120

So, probability = $\frac{60}{120} = \frac{1}{2} = 0.5$

b.)

at most one defective battery :

⇒either the defective battery is 1 or 0

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 0 , then 3 non defective

Possibility = ⁴C₀ × ⁶C₃

= $\frac{4!}{0! (4 - 0)!}$ × $\frac{6!}{3! (6 - 3)!}$

= $\frac{4!}{(4)!}$ × $\frac{6!}{3! (3)!}$

= 1 × $\frac{6.5.4.3!}{3.2.1! (3)!}$

= 1× $\frac{6.5.4}{3.2.1! }$

= 1 × 20 = 20

getting at most 1 defective battery = 60 + 20 = 80

Probability = $\frac{80}{120} = \frac{8}{12} = 0.66$

c.)

at least one defective battery :

⇒either the defective battery is 1 or 2 or 3

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 2 , then 1 non defective

Possibility = ⁴C₂ × ⁶C₁

= $\frac{4!}{2! (4 - 2)!}$ × $\frac{6!}{1! (6 - 1)!}$

= $\frac{4!}{2! (2)!}$ × $\frac{6!}{1! (5)!}$

= $\frac{4.3.2!}{2! (2)!}$ × $\frac{6.5!}{1! (5)!}$

= $\frac{4.3}{2.1!}$ × $\frac{6}{1}$

= 6 × 6 = 36

If the defective battery is 3 , then 0 non defective

Possibility = ⁴C₃ × ⁶C₀

= $\frac{4!}{3! (4 - 3)!}$ × $\frac{6!}{0! (6 - 0)!}$

= $\frac{4!}{3! (1)!}$ × $\frac{6!}{(6)!}$

= $\frac{4.3!}{3!}$ × 1

= 4×1 = 4

getting at most 1 defective battery = 60 + 36 + 4 = 100

Probability = $\frac{100}{120} = \frac{10}{12} = 0.83$

3 0

3 years ago

Which property of equality is represented? If 4x = 16, then 16 = 4x.

Komok [63]

Answer:

Commutative Property of Multiplication.

7 0

3 years ago

Read 2 more answers

Five less than twice the value of a number is equal to three times the quantity of

MissTica

Answer:

These types of questions are not daunting if you break it down. First look at "Five less than twice the value of a number."

"Twice the value of a number" is simply 2x.

"Five less" is simply -5, so for the first part we have (2x-5)

Next, analyze the second part. "Three times the quantity of four more than one half the number."

Looking at "Three times the quantity" simply means "3 times something".

"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.

So the second part is simply 3(4+x/2).

Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x=34

Checking the left side, (2x-5) = 2(34) - 5 = 63.

Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.

6 0

3 years ago

The perimeter of the square at the left is 48 inches

andrey2020 [161]

The perimeter of the square is 48

There are 4 equal-length sides to the square, making each side 12 in. in length

to find the area, multiply two sides of the perimeter

12 x 12 = 144

Perimeter: 48
Side: 12
Area: 144

hope this helps

8 0

3 years ago