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2 years ago

PLEASE HELP WILL MARK BRAINLIEST

Mathematics

2 answers:

ipn [44]2 years ago

6 0

Answer:

${ \rm{y = x + 4 - - - (a)}} \\ { \rm{y = 3x - 4 - - - (b)}}$

equate equation a and equation b:

${ \rm{(a) = (b)}} \\ { \rm{x + 4 = 3x - 4}} \\ \\ { \rm{3x - x = 4 + 4}} \\ \\ { \rm{2x = 8}} \\ \\ { \boxed{ \rm{x = 4}}}$

• find the value of y:

${ \rm{from \: (a) : }} \\ \\ { \rm{y = x + 4}} \\ \\ { \rm{y = 4 + 4}} \\ \\ { \boxed{ \rm{y = 8}}}$

n200080 [17]2 years ago

4 0

Answer: (4,8)

Step-by-step explanation:

(8) = (4) + 4

8 = 8

TRUE

(8) = 3(4) - 4

8 = 12 -4

8=8

TRUE

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An urn contains six red balls and four green balls. A sample of seven balls is selected at random.

KIM [24]

There are 10 balls in the Urn Total.

Red: 6

Green: 4

Question One: The probability that five red and two green is selected is likely. (as that is over half for both)

Question Two: Impossible. There is only 6 red balls, and 7 are taken from the urn. Thus it would at most be possible for 6 red and 1 green.

Question Three: At least four is likely, as there is more red then green in the Urn.

Hope I helped!

(Mark Brainliest if you can please!)

5 0

2 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

7 0

3 years ago

Read 2 more answers

Opposite angles in a parallelogram are _____. A. acute B. supplementary C. parallel D. convex E. congruent

maria [59]

Choice E. The answer is congruent.

7 0

3 years ago

Read 2 more answers

Acellus

Step2247 [10]

Answer:

57 cm²

Step-by-step explanation:

Surface area of the yellow prism = front + back + right + left + top

✔️Area of the front = L * W

L = 4 cm

W = 3 cm

Area of the front = 4*3 = 12 cm²

✔️Area of the back = L * W

L = 4 cm

W = 3 cm

Area of the back = 4*3 = 12 cm²

✔️Area of the right face = L * W

L = 4 cm

W = 3 cm

Area of the right face = 4*3 = 12 cm²

✔️Area of the left face = L * W

L = 4 cm

W = 3 cm

Area of the left face = 4*3 = 12 cm²

✔️Area of the top = L * W

L = 3 cm

W = 3 cm

Area of the top = 3*3 = 9 cm²

✅Total = 12 + 12 + 12 + 12 + 9 = 57 cm²

4 0

2 years ago

A sidewalk has an area that can be represented bt the expression (8x+24) feet. List 3 possible lenghts and widths of the sidewal

Eddi Din [679]

Answer:

Length = 8 feet and Width = (x+3) feet

Length = 4 feet and Width = (2x+6) feet

Length = 2 feet and Width = (4x+12) feet

Step-by-step explanation:

We are given that,

Area of the rectangular sidewalk = (8x+24) feet²

Since, area of a rectangle = Length × Width

It is required to find three possible lengths and widths.

As, we can factor the given area in the following ways,

1. Area = (8x+24) = 8 × (x+3)

2. Area = (8x+24) = 4 × (2x+6)

3. Area = (8x+24) = 2 × (4x+12)

Thus, the three possible lengths and widths are given by,

1. Length = 8 feet and Width = (x+3) feet.

2. Length = 4 feet and Width = (2x+6) feet.

3. Length = 2 feet and Width = (4x+12) feet.

3 0

2 years ago