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:

$X \sim N(\mu=40,\sigma=5)$