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3 years ago

Write the slope intercept form of the equation of the line described.

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

6 0

Answer:

y= -5

Step-by-step explanation:

x=0 is a vertical graph hence the perpendicular graph would be a horizontal line, a y= ____ graph.

Since it passes through the point (-2, -5),

the equation of the line is y= -5.

This would be in slope- intercept form since the gradient of horizontal lines is zero.

y= mx +c, where m is the gradient and c is the y-intercept.

Given that gradient =0, m=0

y= 0x +c

when x= -2, y= -5,

-5= 0(-2) +c

-5= c

c= -5

Thus the equation is y= -5.

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A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv

mario62 [17]

Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

$p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}$

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

$p=\frac{1}{6}$

Now, probability of failure is given by the formula:

$q=1-p=1-\frac{1}{6}=\frac{5}{6}$

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

$P(x) = ^nC_xp^xq^{n-x}$

Plug in all the given values and find the probability of 14 successes. This gives,

$P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087$

Therefore, the experimental probability of throwing a five is 0.087.

8 0

3 years ago

There are 95 children at sports camp. 1/5 of children want to play basketball. How many children want to play basketball?

GalinKa [24]

95/5=19 so 19 children wanted to play basketball

8 0

3 years ago

Jill And Jamahl are comparing their favorite number.Jill number has a prime factorization of 6 number. Jamahl has a prime factor

tatiyna

To prove that jill is wrong we just need an example of this;

2*3*5*7*11*13 = 30030 (this is the smallest number with 6 different prime numbers)

5953*5981*5987 = 2.13x10^11 (which is obviously a much bigger number)

this is enough to prove that jill is wrong

6 0

3 years ago

Solve the equation.

Levart [38]

Answer:

x=34

Step-by-step explanation:

6 - ( x-7) ^ 1/3 = 3

Subtract 6 from each side

6-6 - ( x-7) ^ 1/3 = 3-6

- ( x-7) ^ 1/3 = -3

Divide each side by a negative

( x-7) ^ 1/3 = 3

Cube each side

( x-7) ^ 1/3 ^3 = (3)^3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Check

6 - ( 34-7) ^ 1/3 = 3

6 - (27^1/3 = 3

6 -3 =3

3=3

Good solution

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Delicious77 [7]

Answer:

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Step-by-step explanation:

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