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pishuonlain [190]
3 years ago
10

What equation represents the proportional relationship displayed in the table?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0
You only need to look at the values x=4, y=32 to tell that
  y = 8x
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Solve the system using substitution: x = -4y and x + 5y = 2<br> Please and thank you.
Novay_Z [31]

Answer:

x = - 8, y = 2

Step-by-step explanation:

x =  - 4y......(1) \\ x + 5y = 2....(2) \\ plug \: x =  - 4y \: in \: equation \: (2) \\  - 4y + 5y = 2 \\ y = 2 \\ plug \: y = 2 \: in \: equation \: (1) \\ x =  - 4(2) \\ x =  - 8\\

7 0
3 years ago
Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What are
Dmitriy789 [7]

Answer:

a)  \bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)

b) P(39.6 \leq \bar X \leq 40.4)=0.4778

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=40,\sigma=5)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

(a) What are the mean and standard deviation of the sampling distribution?

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)

(b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P =

So for this case we want this probability:

P(40-0.4 \leq \bar X \leq 40+0.4)= P(39.6 \leq \bar X \leq 40.4)

And for this case we can use the z score given by this formula:

Z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this concept we got this:

P(\frac{39.6 -40}{\frac{5}{\sqrt{64}}} \leq \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}} \leq \frac{40.4 -40}{\frac{5}{\sqrt{64}}})

P(-0.64 \leq Z \leq 0.64) =P(z

8 0
3 years ago
Simplify the following expression.<br><br> 32a^3 b^2/8ab2
nadya68 [22]
Your answer would be 22a4b4 the 2 is sqr and 4s are sqrt
5 0
3 years ago
A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?
Dominik [7]

Answer:

6 and 10

Step-by-step explanation:

xy=60

2(x+y)=32

x+y=16

y=16-x

Substitute y into area equation

x(16-x)=60

16x-x^2=60

x^2-16x+60=0

(x-10)(x-6)=0

x=10, 6

y=6, 10

6 0
2 years ago
What do you call a frog with a cast on each of its back legs
CaHeK987 [17]
I call it the frog position
7 0
4 years ago
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