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3 years ago

What is the y intercept

1 answer:

7 0

<span>The equation of any straight line, called a linear equation,can be written as:y=mx+b, where m is the slope is the slope of the line and b is the y intercept. The y- intercept of the line is the value of y at the point where the line crosses the y axis</span><span>.
I hope this helps :)
</span>

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A baker blends 600 raisins and 400 chocolate chips into a dough mix and, from this, makes 500 cookies. (a) Find the probability

Nina [5.8K]

Answer:

a) P(X = 0) for raisins = 0.33287

b) P(X = 2) for chocolate chips = 0.14379

c) P(X ≥ 2) for both bits = 0.59399

Step-by-step explanation:

The average amount of raisin per cookie is 600/500 = 1.2

The average amount of chocolate chips per cookie = 400/500 = 0.8

a) Using Poisson's distribution function

P(X = x) = (e^-λ)(λˣ)/x!

For raisin, Mean = λ = 1.1

x = 0

P(X = 0) = (e⁻¹•¹)(1.1⁰)/(0!) = 0.33287

b) Using Poisson's distribution function

P(X = x) = (e^-λ)(λˣ)/x!

For chocolate chips, Mean = λ = 0.8

x = 2

P(X = 2) = (e⁻⁰•⁸)(0.8²)/(2!) = 0.14379

c) the probability that a randomly chosen cookie will have at least two bits (raisins or chips) in it.

For this, the average number of bit in a raisin = (600+400)/500 = 2 bits per raisin.

P(X ≥ 2) = 1 - [P(X = 0) + P(X = 1)]

For P(X = 0)

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 2

x = 0

P(X = 0) = (e⁻²)(2⁰)/(0!) = 0.13534

For P(X = 1)

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 2

x = 1

P(X = 1) = (e⁻²)(2¹)/(1!) = 0.27067

P(X ≥ 2) = 1 - [P(X = 0) + P(X = 1)]

P(X ≥ 2) = 1 - (0.13534 + 0.27067) = 1 - 0.40601 = 0.59399

8 0

3 years ago

There are 59 boys and 49 girls in this year's baseball league. If the league has nine teams how many players will be on each tea

liraira [26]

Answer: There are 12 players in each team.

Step-by-step explanation:

Since we have given that

Number of boys in this year's baseball league = 59

Number of girls in this year's baseball league = 49

Total number of players in altogether is given by

$59+49=108$

Now, there are 9 teams in the league ,

So,

$\text{Number of players in each team}=\frac{108}{9}=12$

Hence, there are 12 players in each team.

8 0

3 years ago

Write the equivalent expression for 6x + 5y + 7x

Oksana_A [137]

I'm pretty sure it is d, you are combining the terms which is the same thing.

6 0

3 years ago

Read 2 more answers

What is 12a =? Talking about Math :/

frosja888 [35]

Answer: 12a=48

Step-by-step explanation:

4a+6b=10

4a=10-6b

a=(10-6b)/4

a=(5-3b)/2

2a-4b=12

2((5-3b)/2)-4b=12

(5-3b)-4b=12

5-7b=12

-7b=7

b=-1

2a-4b=12

2a-4(-1)=12

2a+4=12

2a=8

a=4

a=4, b=-1

12a=48

4 0

3 years ago

Jaclyn bought a PS4 game that was on sale for 20% less than the original price. The original price was $10 more than the sale pr

vaieri [72.5K]

Answer:

$50

Step-by-step explanation:

If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to $\frac{1}{5}$ , multiply $10 by 5 to get the answer of $50.

7 0

2 years ago