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Fiesta28 [93]
3 years ago
10

A line has slope 3 and y–intercept 4. Which answer is the equation of the line?

Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

y= 3x+4

Step-by-step explanation:

Slope-intercept form of an equation is

y=mx+b

m=slope

b=y-intercept

Just plug the values in and you get y=3x+4

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Bob discovers a box with 30 identical, used, rechargeable batteries in his attic.
monitta

Answer:

a) All of them are out of charge = 9.31x10⁻¹⁰

b) 20% of them are out of charge = 5.529x10⁻⁴

Step-by-step explanation:

This problem can be modeled as a binomial distribution since

There are n repeated trials and all of them are independent of each other.

There are only two possibilities: battery is out of charge and battery is not out of charge.

The probability of success does not change with trial to trial.

Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50

P = 0.50

1 - P = 0.50

a) All of them are out of charge?

Probability = nCx * P^x * (1 - P)^n-x

Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰

Probability = 9.31x10⁻¹⁰

b) 20% of them are out of charge?

0.20*30 = 6 batteries are out of charge

Probability =₃₀C₆(0.50)²⁴(0.50)⁶

Probability = 5.529x10⁻⁴

5 0
3 years ago
The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s
lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}

Rearranging this equation in terms of n gives

n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n

As n is given as 40 so the new sample size is given as

n_2=4n\\n_2=4*40\\n_2=160

So the sample size to obtain the desired margin of error is 160.

4 0
3 years ago
Suppose a teacher gives 10 points for putting your name on a 100 point test. The minimum score on that test is 10 and the maximu
Varvara68 [4.7K]
I think it is x+10=>100
8 0
3 years ago
leos total bill at the blue lobster ame to $45.90. He wanted to leave a 20% tip what would the total cost with the be?
elena-s [515]
To find the total amount Leo should give, simply find the 20% of his bill then add it.

Total cost = $45.90 + ($45.90 × 0.20)
Total cost = $45.90 + $9.18
Total cost = $55.08

Therefore, Leo should give $55.08 in total to leave a 20% tip.
7 0
3 years ago
Read 2 more answers
A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n
algol [13]
Alright.
So let's say the number of adults is x.
Therefore, the number of boys is 7x + 1.
And then the total amount of girls is 3.5x + 0.5
So then:
x + 7x + 1 + 3.5x + 0.5 = 82
11.5x + 1.5 = 82
11.5x = 80.5
x = 7
So now we can figure out the number of male and female students.
Male students = 7x + 1
7*7 + 1
49 + 1
50
Male Students = 50
Female students = half of 50
50/2 = 25
Female Students = 25
4 0
3 years ago
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