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2 years ago

9

Solve this system of equations by graphing. First graph the equations, and then type the solution. y=3x–2 y= – x+6 Click to sele

ct points on the graph. The solution is , .

1 answer:

labwork [276]2 years ago

5 0

Answer:

(2 , 4)

Step-by-step explanation:

set 3x-2 = -x + 6

4x = 8

x = 2

3(2) - 2 = 4

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Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago

Whats the scale factor brainist

OleMash [197]

Answer:

?

Step-by-step explanation:

there is no scale factor (nothing to use)

thanks for the points though

have a blessed day :^)

3 0

2 years ago

Please help me due tomorrow

jekas [21]

3) 0.825

4) 0.1212

5) 0.5455

6) -7.177

7a) 0.066

b) 0.166

c) 0.333

d) 0.416

8) -2/5

9) -7 (32/100) = -7 (9/25)

10) 0.22222 = 2/9

8 0

2 years ago

Question 1 of 8

tekilochka [14]

Answer:

A, C,D,E,F

Step-by-step explanation:

6 0

2 years ago

g Explain the difference between explanatory and response variables. Is it important to distinguish between the two in linear re

sukhopar [10]

Answer: See explanation

Step-by-step explanation:

The response variable is the variable that the researcher is interested in. It is what the experiment really focuses on.

An explanatory variable is the variable that is being manipulated by the researcher and it explains the variations that may occur to the response variable.

It should also be noted that it is important to distinguish between the response variable and the explanatory variable in a linear regression.

4 0

2 years ago