The ratio of boys to girls in the school chorus is 3:2. If there are 39 boys in the chorus, how many girls are in the chorus?

The distribution of the weights ofloaves of bread from a certain bakery follow approximately a normaldistribution. Based on a ve

slega [8]

Answer:

D)

Step-by-step explanation:

ASSUMING NORMAL DISTRIBUTION, LESS THAN 10% AT LOWER END

OF 15.34 MEANS [DENOTING MEAN BY M AND Standard Deviation. BY S]

M±AS=20%....................M-AS=15.34

FOR 20% LEVEL .......A=1.281........FROM TABLES

M-1.281×S=15.34............................1

SIMILARLY

M±BS=40%...................M+BS=16.31

FOR 40% LEVEL .............B=0.841...................FROM TABLES

M+0.841×S=16.31.............................2

EQN.2 - EQN.1

2.122×S=0.97

S=0.457=0.46

M=15.926= 15.93

HENCE, D IS THE ANSWER

that is D. μ = 15.93, σ =.46

8 0

2 years ago

Explain how you know which method you should use to solve a rational equation.

notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

$\frac{1}{2}=\frac{x}{2}\Rightarrow x=1$

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

7 0

2 years ago

A farmer caught some wild pigs to use as founders for a domestic herd. The farmer wants all of her pigs to have one distinctive

nikdorinn [45]

Answer: Breed for black-haired pigs

Step-by-step explanation:

Now according to the statement, the farmer catches wild pigs and mostly are brown.

Since black hair is dominant over brown and also black and brown are dominant over red, this implies that red is the least dominant color meaning if breeding occurs, there would be less chance of getting red colored pigs.

She wants to breed either black or red haired pigs and since black is more dominant so she should breed the black ones with the brown ones or with themselves so she would eventually get pure-breeding herd i.e. of black color.

8 0

3 years ago

The graph below represents the distance of a dog from a trainer after a command is given which statement could describe the dogs

faust18 [17]

<span>The best statement that could describe the dogs environment 5 seconds after the command was given is that th</span>e dog was running towards the trainer to receive a treat.

3 0

2 years ago

Read 2 more answers

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

Radda [10]

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = $\frac{2-0}{0+1}$ = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

7 0

2 years ago