Evaluate f(x – 3) for the function f(x) = x^2-x

Answer:

A gestation length of 279 days represents the 18th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days.

This means that [tex]\mu = 284, \sigma = 5.5[/tex]

What length of gestation, rounded to the nearest whole number, represents the 18th percentile?

This is X when Z has a pvalue of 0.18. So X when Z = -0.915.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.915 = \frac{X - 284}{5.5}[/tex]

[tex]X - 284 = -0.915*5.5[/tex]

[tex]X = 279[/tex]

A gestation length of 279 days represents the 18th percentile.

Answer:

A. 279 days

Step-by-step explanation:

Answer:

~~~~~~~~~~Photo math ~~~~~~~~~

Answer:

Explanation below

Step-by-step explanation:

a rational number is a number can be expressed as the quotient or fraction x/y of two integers where y is not 0.

rational number less than -1 with a 3-digit repeating number: list a few

- 41/333 = - 0.123123123....

- 115/333 = -0.345345345....

I wish this is what you want!!

Answer:

530.66 square cm

Step-by-step explanation:

A=pi*r^2

A=pi*13^2

A=530.66

Answer:

A = 530.91 [tex]cm^2[/tex]

Step-by-step explanation:

The formula to find the area of a circle is ([tex]A = (pi)r^2[/tex]), where ([tex]A[/tex]) represents the area of the circle, ([tex]pi[/tex]) represents the value ([tex]3.1415...[/tex]), and ([tex]r[/tex]) represents the radius of the circle. Use this knowledge, and substitute in the given information, to solve for the area of the circle.

[tex]A = (pi)r^2\\\\A = (3.1415)(13)^2\\\\A = (3.1415)169\\\\A = 530.91[/tex]

Answer: g/9

Step-by-step explanation: Cuz well it is what it is

PLS mark as brill

Answer:

x=37

Step-by-step explanation:

angles inside a triangle add up to 180

add all angles equal to 180

(x+10)+(3x-5)+(x)=180

remove parenthesis, combine like terms

5x-5=180

add 5 both sides

5x=185

divide by 5

x=37

angles: 37, 47, 106

Answer:

Step-by-step explanation:

4x^2-x+1-(6x^2+5x-4)

4x^2-6x^2-x-5x+1+4

-2x^2-6x+5

Answer:

your answer is B

Step-by-step explanation:

Answer:

1. 18 big fish

2. 20%

3. 0

hmmmm,

Answer:

If a seed is planted, it has a 65% chance of growing into a healthy plant. If 129 randomly selected seeds are planted, answer the following.

a) Which is the correct wording for the random variable?

b) Pick the correct symbol: n Correct = 129

c) Pick the correct symbol: p Correct = 0.65

d) What is the probability that exactly 79 of them grow into a healthy plant? Round final answer to 4 decimal places.

e) What is the probability that less than 79 of them grow into a healthy plant? Round final answer to 4 decimal places.

f) What is the probability that more than 79 of them grow into a healthy plant? Round final answer to 4 decimal places.

g) What is the probability that exactly 80 of them grow into a healthy plant? Round final answer to 4 decimal places.

h) What is the probability that at least 80 of them grow into a healthy plant? Round final answer to 4 decimal places.

i) What is the probability that at most 80 of them grow into a healthy plant Round final answer to 4 decimal places.

Answer:

what is 5+5x85x900/37x1000-10: the answer for 5+5x85x900/37x1000-10 is 10337832.8378

Step-by-step explanation:

Answer:

33.3cm²

Step-by-step explanation:

9 multiplied by 3.7 is equal to 33.3cm²

Answer:

the answer is 33.3

Step-by-step explanation:

the formula is

Area= base × height

A =9×3.7

=33.3

Answer:

6=100°

8=80°

7=100°

9=80°

Step-by-step explanation:

If 6 is 100°

in a straight line theres 180 degrees

180-100=80°

8 is 80°

opposite 6 to 7 there are parallel corresponding angles meaning the angle opposite it will be the same. 8 with 9.

same with

Answer:

poly gon B is similar and polygon E is congruent

Answer:

N = 3 × 50 / 5

N = 150 / 5

N = 30 (Ans)

Answer:

x+12 x-15 x-8 x-30 x+15

Step-by-step explanation:

Answer:

Step-by-step explanation:

9. (x+12)(x-3)/(x-3)= x+12

10. (x-15)(x+3)/(x+3)= x - 15

11. (x-8)^2/(x-8)= x - 8

12. (x-30)(x+3)/(x+3)= x - 30

13. (x+15)(x-2)/(x-2)= x + 15

Answer: Option a: 3y < 10 - 2y

Step-by-step explanation:

A linear inequality is something that can be written as:

y > a*x + b

or

y < a*x + b

So we need to see which inequality of the given ones CAN'T be written in this way.

a) 3*y < 10 - 2*y

Here we can see that we have only one variable, so this can not be a linear inequality.

b) 2*x - y > 6

We can rewrite this as:

y < -6 + 2*x

Then this is a linear inequality.

c) 3x-5y ≥ 15

This can be rewritten as:

y  ≤ (3/5)*x - 15/5

Then this is a linear inequality.

d) 23 ≤ 3m - 2n

This can be rewritten as:

m ≥ (2/3)*b + 23/3

This is a linear inequality.

Then the option that is not a linear inequality in two variables is option a.

Answer: A

Step-by-step explanation: I just finished the test

Answer:

x = c - a / -b

Step-by-step explanation:

a - bx = c

-a               -a

-bx = c - a

divide -b    

x = c - a / -b

Answer:

[tex]\frac{-c+a}{b}[/tex]

Step-by-step explanation:

a - bx = c

use substition method:

-bx = c - a

-1(-bx = c - a)

bx = -c + a

then divide both sides by b:

bx/b = -c+a/b

x = [tex]\frac{-c+a}{b}[/tex]

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

[tex]\frac{45}{150}[/tex]  15 can go into both 45 and 150 so you divide both into that

45/15 is 3

150/15=10

[tex]\frac{3}{10}[/tex]

Answer:

It will lower the mean significantly because it is an outlier compared to the other kittens weights.

Step-by-step explanation:

Answer:

3 minutes and 30 seconds

Step-by-step explanation:

7-5 = 2

3/2 = 1.5 gallons that empty per each minute

1.5 times 3 (minutes) = 4.5 gallons emptied

Remaining gallons to empty = 0.5

0.5 gallons to empty will take 30 seconds

I hope this helps :)

Answer:

4

Step-by-step explanation:

Give the other guy a 5 star my dude lol

The square has a property of having all the sides equal. The rectangle on the other hand has its opposite sides equal. The larger side of the rectangle is called length and the smaller side is called breadth. The area of rectangle is the product of length and breadth i.e.

[tex]\rm Area\:of\:rectangle = Length\: \times Breadth[/tex]

The side of square for the given question is [tex]4\rm \: inches[/tex].

Let the side of square be [tex]\rm x[/tex]

Given:

Area of rectangle is 9 square inches.

Side of square is reduced by 3 and other side is enlarged by 5. Therefore, dimensions of the rectangle will be:

[tex]\rm Breadth = x - 3\\\\Length = x + 5[/tex]

[tex]\rm Area\:of\:rectangle = Length\: \times Breadth\\\\9 = (x + 5)(x -3)\\\\9 = x^2 + 5x -3x -15 \\\\9 = x^2 +2x - 15 \\\\0 = x^2 +2x-15-9\\\\0 = x^2+2x-24\\\\[/tex]

On factoring the equation:

[tex]\begin{aligned} \rm x^2 + 2x -24 &= 0\\\\x^2 + 6x - 4x - 24 &= 0\\\\x(x+6)-4(x+6) &= 0\\\\(x+6)(x-4)&=0\end[/tex]

On equating [tex]\rm (x +6)[/tex] and [tex](x-4)[/tex] with 0 we get:

[tex]x = -6\\\\x=4[/tex]

Since side of square cannot be negative, [tex]x = 4[/tex] is the only correct value.

Therefore the side of square is [tex]4 \:\rm inches[/tex].

Learn more about the topic here:

https://brainly.com/question/22249467

Answer:

25

Step-by-step explanation:

So basically remember that:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

so far you have that

[tex]a^2 = x^2\\2ab = -10x[/tex]

So if 2ab = -10x and a = x, that means 2xb = -10x so b = -5.

It's kind of confusing to think of it like that, but all that means is that the equation is:

[tex](x - 5)^2[/tex]

which would simplify to

[tex]x^2 - 10x + 25[/tex]

so the blank is 25

Answer:

your answer will be 25

Step-by-step explanation:

hope it helps

have a nice  day

Answer:

area of square = l²=3.5²=12.25ft²

Answer:12.25

Step-by-step explanation:

Answer:

There are 293 liters and 209 milliliters of water left in the tank.

Step-by-step explanation:

Since a tank was filled with 225L 156 ml of water on the first day and 106 L 215ml of water on the second day, and that 38 L 162ml of water were used by the family members, to find out how much

water is still left in the tank, the following calculation must be performed:

(225,156 + 106,215) - 38,162 = X

331,371 - 38,162 = X

293.209 = X

Thus, there are 293 liters and 209 milliliters of water left in the tank.