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4 years ago

F(x)=4x-1 G(x)=2x+3 Find (fog)(2)

Mathematics

1 answer:

Alik [6]4 years ago

8 0

Answer:

Step-by-step explanation:

$(f\circ g)(x)=f(g(x))\\\\(f\circ g)(2) = f(g(2)) = f(2\cdot 2+3) = f(7)\\\\=4\cdot 7-1=\boxed{27}$

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There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly sele

melamori03 [73]

The probability that more than 5 students will pass their exam is 0.0188416.

<h3>How to find the probability?</h3>

The probability that a student passes their examination = 40% = 0.4

The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam

The probability that 6 students pass their exam =

$7C_{6} (0.4)^{6} (0.6)^{1}\\=7(0.4)^6(0.6)\\=0.0172032$

The probability that 7 students pass their exam =

$7C_{7} (0.4)^{7} (0.6)^{0}\\=(0.4)^7\\=0.0016384$

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384

= 0.0188416

Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.

Learn more about probability here: brainly.com/question/24756209

#SPJ4

4 0

2 years ago

I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack

anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0

3 years ago

You have a new mobile phone. The phone costs £140 and then you pay for a one year contract at £15 per month. How much do you pay

netineya [11]

It is the amount you pay each month times 12
15x12=£180

6 0

4 years ago

Let X=[10 -3] and y=[-1 -5] then the distance between X and y is

slavikrds [6]

Answer:

[11 2]

Step-by-step explanation:

10 to -1 is 11 and-3 to -5 is 2 therfore you have the distance of 11 and 2

3 0

3 years ago

Read 2 more answers

Can you help me with this please?

N76 [4]

Use a calculator and divide

8 0

3 years ago