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vfiekz [6]
3 years ago
8

There are 40 students in a class.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Step-by-step explanation:

Total no. of students = 40

Total no. of girls = 22

Total no. of boys = 40 - 22 = 18

No. of girls walking to school = 9

No. of girls who cycle to school = 22 - 9

No. of boys who cycle to school = 7

No. of students who take the bus = 10

(6 boys and 4 girls)

No. of boys who walk to school = 18 - (7 + 6) = 5

Total no. of students who walk to school = 9 + 5 = 14

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F(x)=ax+b/2 then f^-1 (x-1) =2x-5/2 find a and b​
krok68 [10]

From the given inverse function, we have

f^{-1}(x-1) = 2x - \dfrac52 \\\\ \implies f^{-1}(x) = f^{-1}((x+1)-1) = 2(x+1) - \dfrac52 = 2x-\dfrac12

By definition of inverse function,

f\left(f^{-1}(x)\right) = x

so that

f\left(2x-\dfrac12\right) = x

a\left(2x-\dfrac12\right) + \dfrac b2 = x

2ax - \dfrac a2 + \dfrac b2 = x

\implies\begin{cases}2a=1 \\\\ -\dfrac a2+\dfrac b2 = 0\end{cases}

\implies \boxed{a=\dfrac12}

\implies \dfrac b2 = \dfrac a2 \implies \boxed{b=\dfrac12}

8 0
1 year ago
Expand and simplify (3x-1)(x-3)​
ValentinkaMS [17]

Following are simplifications to the given expression:

Given:

\bold{(3x-1)(x-3)}

To find:

simplify=?

Solution:

\to \bold{(3x-1)(x-3)}\\\\\to \bold{(3x^2-9x-x+3)}\\\\\to \bold{(3x^2-10x+3)}\\\\

Therefore, the final answer is "\bold{3x^2-10+3}".

Learn more:

brainly.com/question/1661958

4 0
2 years ago
What is 3 ÷ 5/6 ? Show your work
krok68 [10]

Answer:

3 3/5 or 18/5

Step-by-step explanation:

When we divide by fractions, we multiply by the reciprocal of the fraction.

So, 3 ÷ 5/6 is

3*6/5

=18/5

=3 3/5

Have a great day!

6 0
2 years ago
Read 2 more answers
If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails
Ilia_Sergeevich [38]

Answer:

<h3>The answer is <u>3/8</u> NOT 50%</h3>

Step-by-step explanation:

One way to solve this problem is to figure out how many ways you can get exactly 222 tails, then divide this by the total number of outcomes you could have gotten. Since every outcome has equal probability, this will be the probability that you will get exactly 2 tails.

How many outcomes are there where you get exactly 2 tails? Try thinking of each outcome as a 4-letter word, where the first letter is "H" if the first coin toss was heads and "T" if it was tails, and so on.

So, the number of outcomes with exactly 2 tails is the same as the number of these words which have 2 T's and 2 H's.

How many of these are there? If we treat all the letters as unique, we'll find that there are 4! different arrangements, overcounting 2! times for every time we only switch the T's around, and 2! times for every time we only switch the H's around.

So, there are <u>4!/2!2!</u> = 6  

​  

<u>4!/2!2!</u>= 6 different outcomes where you get exactly 2 tails.

Altogether, there are 2^4 = 16 total possible outcomes.

So, the probability that you will get exactly 2 tails is <u>6/16</u> = 3/8

​  

4 0
3 years ago
Show the tens fact you used. Write the difference.<br> 12-7=<br> 10- _=
Maksim231197 [3]

12-7=5

10-5=5


is that what you where looking for?

5 0
2 years ago
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