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frez [133]
3 years ago
7

The equation of a line is given below.

Mathematics
2 answers:
makkiz [27]3 years ago
6 0
Y=3-4/3x
y-intercept is 3

disa [49]3 years ago
5 0

Answer:

y - intercept: (0,3)

slope: -4/3

Step-by-step explanation:

4x +3y = 9

3y = -4x + 9

y = -4/3x + 3

to find the y - intercept you make x = 0, so...

y = -4/3(0) + 3

y = 3

therefore y - intercept is (0,3)

to find the slope you look at your linear equation and see what number is in front of the x

so in this case -4/3 is the slope, because that's what's in front of the x

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The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the int
rewona [7]

Answer:

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 0.5

Standard deviaiton = 0.289

Sample of 12

By the Central Limit Theorem

Mean = 0.5

Standard deviation s = \frac{0.289}{\sqrt{12}} = 0.083

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

4 0
3 years ago
How much would $300 invested at 7% interest compounded continuously be worth after 4 years
marissa [1.9K]
The formula of compound continuously is
A=p e^rt
A future value?
P present value 300
R interest rate 0.07
T 4 years
E constant
A=300×e^(0.07×4)
A=396.94 round your answer to get
A=397
8 0
3 years ago
The Kellys are saving up to go on a family vacation in 2 years. They invest $3200 into an account with an annual interest rate o
ryzh [129]

Answer:

$3,273.14

Step-by-step explanation:

-We first calculate the effective interest rate of 1.13% compounded daily:

i_m=(1+i/m)^m-1\\\\=(1+0.0113/365)^{365}-1\\\\=0.011363909

#Now, we calculate the compounded amount after 2 years using this rate:

A=P(1+i)^n\\\\=3200(1.011363909)^2\\\\\\=3273.14

Hence, the compounded amount after 2 years is $3,273.14

6 0
3 years ago
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Sonbull [250]

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

8 0
2 years ago
Read 2 more answers
Which graph best represents the solution to the system of equations shown below?
siniylev [52]
1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4
7 0
3 years ago
Read 2 more answers
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