Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

Answers

Answer 1

Answer:

Ben is $(P)/(11)+6$ old now in terms of P .

What is linear equation?

A linear equation in two variables is of the form Ax + By + C = 0, in which A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. For example, 7x + 9y + 4 = 0 is a linear equation in two variables. If we consider two such linear equations, they are called simultaneous linear equations.

According to the question

Six years ago Anita was P times as old as Ben was.

Let Ben's age now be B.

Anita's age now is A.

Writing linear equation in two variables

(A-6) = P(B-6)

But A is 17 and therefore

17 - 6 = P(B - 6)

11 = P(B - 6)

$(11)/(P)$ = (B-6)

$B = (P)/(11)+6$

Hence,

Ben is $(P)/(11)+6$ old now in terms of P .

Find out more information about linear equation in two variables here

brainly.com/question/17139602

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Answer 2

Answer: Anita is 17 years old now
6 years ago she was 17- 6 years = 11 years
thus 6 years ago Ben is P 11 years old
therefore Ben will be P 11 + 6 years old now

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ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 pointsA. What is the probability a randomly selected score is greater than 30.4?

B. what is the probability a randomly selected score is less than 32.8?

C. What is the probability a randomly selected score is Between 25.6 and 32.8?

Answers

Answer:

a. 0.1587

b. 0.8849

c. 0.1814

Step-by-step explanation:

a. Given that $\mu=28, \ \ \sigma=2.4$

-The probability a randomly selected score is greater than 30.4 is calculated as:

$P(X>30.4)=1-P(X<30.4)\n\nz=(\bar X-\mu)/(\sigma)\n\n=(30.4-28)/(2.4)=1\n\n\therefore P(X>30.4)=1-P(z<1)\n\n=1-0.84134\n\n=0.1587$

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that $\mu=28, \ \ \ \sigma=2.4$

The probability a randomly selected score is less than 32.8 is calculated as:

$P(X<32.8)=P(z<(\bar X-\mu)/(\sigma))\n\nz=(\bar X-\mu)/(\sigma)\n\n=(32.8-28)/(2.4)=1.2\n\nP(X<32.8)=P(z<1.2)\n\n=0.88493$

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

$P(25.6<X<32.8)=P((\bar X-\mu)/(\sigma)<z<(\bar X-\mu)/(\sigma))\n\n=P((25.6-28)/(2.4)<z<(32.8-28)/(2.4))\n\n=P(-1<z<2.0)\n\n=0.15866+(1-0.97725)\n\n=0.1814$

Hence, the probability is 0.1814

Hannah has a biased coin.She is going to throw the coin once.
The probability of getting heads is 0.7
Work out the probability of getting tails.

Answers

There is a 90% chance of getting tails so yea 0.99

Mei drew a scale drawing of an apartment. The living room, which is 8 meters long in real life, is 4 millimeters long in the drawing. What is the drawing's scale factor?

Answers

Answer:

$\text{Drawing}:\text{Real Life} = 1:2000$

Step-by-step explanation:

Real life = 8m = 8000mm

Drawing = 4mm

we can take the ratio of the two values (but be sure that they both have the same units, this is why it is necessary to convert 8m to 8000mm OR you can convert 4mm to its value in meters)

$\frac{\text{Real Life}}{\text{Drawing}} = (8000)/(4)$

$\frac{\text{Real Life}}{\text{Drawing}} = (2000)/(1)$

we can also write this as:

$\text{Real Life}:\text{Drawing} = 2000:1$

so the drawing's scale factor is:

$\text{Drawing}:\text{Real Life} = 1:2000$

This means that if length of the living room in the drawing is multiplied by 2000 it will be of the same length as the living room in real life.

If y is the principal square of root 5,what must be true

Answers

y must be a positive integer.
Hope this was the answer you were looking for!

If it's going to be true y needs to be a positive integer
Hope that's right

Helpppp Pleaseee....

Answers

Answer:

$(4 √(10) )/(5)$

Step-by-step explanation:

$(8)/( √(10) ) * ( √(10) )/( √(10) )$

$\frac{8 √(10) }{ {√(10)}^(2) }$

$(8 √(10) )/(10)$

$(4 √(10) )/(5)$

Answer:

4√10/5

Step-by-step explanation:

8/√10

=8/√10 ×√10/√10

=8√10/√10√10

=8√10/10

=4√10/5 (ans)

=2.53 (approximately)

What is the quotient of 5/7 and 3/14

Answers

Answer:

10/3

Step-by-step explanation:

Keep, change, flip

Keep the first fraction in the equation, change the division symbol to multiplying, and then multiply the first fraction by the reciprocal (opposite) of the second fraction (14/3)

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