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3 years ago

The function g is defined by the following rule. g(x)=5x-4 complete the function table

Mathematics

2 answers:

Elan Coil [88]3 years ago

8 0

(-4,-24) (-1,-9) (1,1) (2,6) (4,16)

Valentin [98]3 years ago

3 0

<h2>Answer:</h2>

The table is given as follows:

x g(x)

-4 -24

-1 -9

1 1

2 6

4 16

<h2>Step-by-step explanation:</h2>

The function g is terms of the variable x is given by:

$g(x)=5x-4$

i.e. the function g(x) is a linear function.

Now, we are asked to complete the table of the function for different values of x.

when x= -4 we have:

$g(x)=5\times (-4)-4\\\\i.e.\\\\g(x)=-20-4\\\\g(x)=-24$

when x= -1 we have:

$g(x)=5\times (-1)-4\\\\i.e.\\\\g(x)=-5-4\\\\g(x)=-9$

when x= 1 we have:

$g(x)=5\times (1)-4\\\\i.e.\\\\g(x)=5-4\\\\g(x)=1$

when x= 2 we have:

$g(x)=5\times (2)-4\\\\i.e.\\\\g(x)=10-4\\\\g(x)=6$

when x= 4 we have:

$g(x)=5\times (4)-4\\\\i.e.\\\\g(x)=20-4\\\\g(x)=16$

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Amelia and Joey decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Amelia went first a

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Answer:

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Step-by-step explanation:

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3 years ago

Compare each set of data. Determine which set shows greater variability.

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It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the

son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that $p = 0.5$

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039$

$P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313$

$P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094$

$P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188$

$P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734$

$P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556$

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3 years ago

PLEASEE HELP!! What is the value of x? Enter your answer in the box

madreJ [45]

First we need to figure out how long YK is and the best way to do this is to set up a proportion

34 x
----- = ------
95.2 168

then cross multiply and divide

34 times 168=5712/95.2=60

then add the two parts of the line

60+34=94

X is 94 cm

I hope I've helped!

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3 years ago

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