Question

A random sample of SAT scores has a sample mean ofă = 1060 and sample standard deviation of s = 195. Use the

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

Answer:

7

Step-by-step explanation:

dont trust me i dont know the answer sry

Answer:

ya

Step-by-step explanation:

Answer:

20 hours a day.  

Step-by-step explanation:

( 5 / 6 ) x 24 = 20

Answer:

x=8

y=1/6x+4/6

y= 2

Step-by-step explanation:

Answer:

the answer is 10 you round up a nine it keeps going to the end

Answer:

x= -1 , i(sqrt11) , -i(sqrt11)

Step-by-step explanation:

subtract 11x from both sides

-x^3 - x^2 - 11x = 11

subtract 11 from both sides

-x^3 - x^2 - 11x - 11 = 0

Factor the left side of the equation

- (x - 1)(x^2 + 11) = 0

Set both factors to zero and solve for x

x + 1 = 0 x^2 + 11 = 0

-1 -11

x^2 = -11

x = -1 x = +/- i(sqrt11)

Answer:

3, each number is being multiplied by a factor of 3

Answer:

Step-by-step explanation:

Diameter = 84 km

Radius = 84/2 = 42 km

Area of circle = πr²

                      = 3.14 * 42 * 42

                      = 5538.96 km²

Answer:

Place Value of 5 in 1325 is 'Thousands'

Answer:

-29

Step-by-step explanation:

1+3-1-32

4-1-32

3-32

-29

anything raised to the power of 0 is on

please mark brainiest thank you

if 2 quarts=1/2 galleon on the graph.

Then half of 2 quarts will be half of 1/2 galleons.

Therefore 1 quart=1/4 galleons.

Hope it helps!

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

Answer:

-4

Step-by-step explanation:

-12 + 8

-4

k would be located at

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

Answer:

1.243 cm

Step-by-step explanation:

The surface area of a cylinder is the sum of the area of the two congruent circular bases and the rectangular lateral area.

[tex] SA = 2\pi r^2 + 2 \pi rh [/tex]

[tex] SA = 2\pi r(r + h) [/tex]

We are given the surface area and the diameter.

r = d/2 = 7 cm / 2 = 3.5 cm

We can solve for h, the height.

[tex] SA = 2\pi r(r + h) [/tex]

[tex] 2\pi r(r + h) = SA [/tex]

[tex] r + h = \dfrac{SA}{2\pi r} [/tex]

[tex] h = \dfrac{SA}{2\pi r} - r [/tex]

[tex] h = \dfrac{104.3~cm^2}{2(3.14159)(3.5~cm)} - 3.5~cm [/tex]

[tex] h = 1.243~cm [/tex]

Answer:

140 days

Step-by-step explanation:

there are 7 days in 1 week so just multiply 20 by 7 which is 140, to make it easier multiply 2 by 7 which is 14 then add the 0 soo 140.

Hope this helps :)

Answer:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

Step-by-step explanation:

The 4 copies of the fraction 1/5 will be 4/5.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

As per the given,

4 copies of 1/5

The first copy of /5 = 1/5

Second one = 1/5

Third = 1/5

And fourth = 1/5

Collective all copies are 1/5 + 1/5 + 1/5 + 1/5

Take LCM as 5,

(1 + 1 + 1 + 1)/5 = 4/5

Hence "The 4 copies of the fraction 1/5 will be 4/5".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

Given:

The equation is

[tex]P=-3-4L-6[/tex]

To find:

The formula for L.

Solution:

We have,

[tex]P=-3-4L-6[/tex]

It can be written as

[tex]P=(-3-6)-4L[/tex]

[tex]P=-9-4L[/tex]

We need to isolate variable L.

Adding 6 on both sides, we get

[tex]P+6=-4L[/tex]

Dividing both sides by -4, we get

[tex]\dfrac{P+6}{-4}=L[/tex]

[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]

[tex]-\dfrac{P}{4}-1.5=L[/tex]

Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].

Answer: He travelled 392 km that day.

Step-by-step explanation:

We are given that,

Speed of electric car = 56 km per hour.

Time = 7 hours

We know that,

Distance = Speed x Time

If he travelled 7 hours on that day, then Distance traveled in 7 hours on that day= (56 km per hour)  x (7 hours)

i.e. Distance traveled in 7 hours on that day== 392 km

Hence, he travelled 392 km that day.

Answer:25

13

Step-by-step explanation:

Answer:

Group A IQR = $700

Group B IQR = $400

Group A's IQR is Greater Than Group B's IQR, so the salaries in the middle 50% for Group A are More spread out than those for Group B.

Step-by-step explanation:

Subtract the minimum value from the maximum value of each group's big box on the graph to get their IQR's

Answer:

if this is regular multiplication the answer is 1,800

Step-by-step explanation:

Answer:

1/9 is correct

1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.

Answer:

[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]

Step-by-step explanation:

To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:

[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]

Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]

[tex]P=24\sqrt{x}[/tex]

To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height

The base is: [tex]9\sqrt{x}[/tex]

The height is: [tex]8\sqrt{x}[/tex]

Plug and chug:

[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]

[tex]A=\frac{1}{2} *72x\\A=36x[/tex]