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3 years ago

Simplify: (4f - 3 + 2g) - (-4g + 2) *

Mathematics

1 answer:

vova2212 [387]3 years ago

6 0

Answer: 4f-5-2g

Step-by-step explanation: collect like terms 2g-4g and -3-2

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Let f ( x ) = 10 x + 14 f − 1 ( x ) =

Agata [3.3K]

Answer:

f^-1(x) = (x -14)/10

Step-by-step explanation:

You can find the inverse function by solving for y:

x = f(y)

Here, that is ...

x = 10y +14 . . . . . use the definition of f(y)

x -14 = 10y . . . . . . subtract 14

(x -14)/10 = y . . . . divide by the coefficient of y

So, your inverse function is ...

f^-1(x) = (x -14)/10

6 0

2 years ago

Find the regression line associated with the set of points. (Round all coefficients to four decimal places.) HINT (See Example 2

horrorfan [7]

The equation of the regression line is : Ŷ = 0.8571+0.8878X

Given the set of points :

(1, 2), (4,4), (9,9)

X axis : ___ Y axis

1 ___________2

1 ___________2 4 __________ 4

1 ___________2 4 __________ 4 9 __________ 9

The regression line associated could be obtained using technology such as excel, linear regression solvers or a graphing calculator.

Using technology :

Input the values of X and Y into their appropriate column and plot :

The regression equation obtained is :

Ŷ = 0.8571 + 0.8878X

Where :

Ŷ = predicted value of Y(dependent variable)

X = Independent variable

Slope = 0.8878

Intercept = 0.8571

The regression plot is attached below

Learn more : brainly.com/question/18405415?referrer=searchResults

7 0

2 years ago

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil

Fiesta28 [93]

Answer:

The sample has not met the required specification.

Step-by-step explanation:

As the average of the sample suggests that the true average penetration of the sample could be greater than the 50 mils established, we formulate our hypothesis as follow

$H_0$ : The true average penetration is 50 mils

$H_a$ : The true average penetration is > 50 mils

Since we are trying to see if the true average is greater than 50, this is a right-tailed test.

If the level of confidence is α = 0.05 then the $z_\alpha$ score against we are comparing with, is 1.64 (this is because the area under the normal curve N(0;1) to the right of 1.64 is 0.05)

The z-score associated with this test is

$z=\frac{\bar x-\mu}{s/\sqrt{n}}$

where

$\bar x$ = mean of the sample

$\mu$ = average established by the specification

s = standard deviation of the sample

n = size of the sample

Computing this value of z we get z = 3.42

Since z > $z_\alpha$ we can conclude that the sample has not met the required specification.

5 0

3 years ago

what is the answer to this question. please respond. I need the answer very quick.my teacher is going to get mad at me

amm1812

It is a ratio problem...

2 dogs need 144 feet = 2 : 144

Simplify the ratio = 1 : 72

Multiply both sides by 8 (8 dogs) = 1*8 :144*8

Simplify the ratio = 8 : 1152

8 dogs need 1152 feet of fencing

Hope this helps!

3 0

3 years ago

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for adm

IgorC [24]

Answer:

16.7% of GMAT scores are 647 or higher

Step-by-step explanation:

The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.

In this problem, we have that the mean $\mu$ is 547 and that the standard deviation $\sigma$ is 100.

a. What percentage of GMAT scores are 647 or higher?

647 is 1 standard deviation above the mean.

So, 50% of the values are below the mean. Those scores are lower than 647.

Also, there is the 34% of the values that are above the mean and are lower than 647.

So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.

The sum of the probabilities must be 100

So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.

3 0

2 years ago