the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution

Step-by-step explanation:

Hey there!

Given;

[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]

[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]

[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]

[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]

Therefore, Option D is correct answer.

Q.no.

Given;

[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]

[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]

[tex] = {x}^{3} + 4xy + 16y[/tex]

Therefore, answer is Option D.

Qno.

Given;

[tex]5 {x}^{2} + 29x + 20 = 0[/tex]

[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]

[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]

[tex]5x(x + 5) + 4(x + 5) = 0[/tex]

(5x + 4)(x + 5) =0

Either (5x+4)= 0,

5x = -4

X = -4/5

Or, X+5 = 0

X = -5.

Therefore, X= -5, -4/5.

Hope it helps....

Answer:

Step-by-step explanation:

so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6

Answer:

0.15 miles per minute

Step-by-step explanation:

Average speed is in distance over time, so you could write:

1.5 miles / 10 minutes

Now, simplify:

.15 miles per minute

(hope this helps :-D)

Answer:

.15 miles per minute

Step-by-step explanation:

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

Simplify.

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

9515 1404 393

Answer:

  1 + x

Step-by-step explanation:

A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...

  1 + x

Answer: the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%

Step-by-step explanation:

Given data;

lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min

hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

= ( 51 - 50.8) × 1/2

= 0.2 × 0.5

= 0.1 ≈ 10%  

therefore the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%  

Answer:

t= 1/5s-9

Step-by-step explanation:

use math papa next time ;)

Answer:

2.3 cm per year

Step-by-step explanation:

Answer:

2.3 cm

Step-by-step explanation:

Answer:

x = 0 , y = -2

Step-by-step explanation:

Answer:

Each paper weight is half a pound

Step-by-step explanation:

Answer:

E. All real values of x

Step-by-step explanation:

If you were to graph this function, it would look like a diagonal line going on seemingly forever. Therefore, the domain of h would be all values of x.

Answer:

5.50x = 6,850

Step-by-step explanation:

Each ticket costs $5.50, and the total is $6,850.

Hope this helps! :)

Answer:

5 meters

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

;)

Answer:

you get the measure of angle XYZ by adding the measures of angles XY? and ZY?

70 +35 = 105 degrees is the measure of angle XYZ

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

[tex]\frac{a}{b}[/tex]

[tex]\frac{c}{d}[/tex]

The division:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]

can be done by multiplying by the reciprocal of the denominator:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are given the fractions 5/6 and 1/3. Their division is:

[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]

Simplifying:

[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]

Answer: [tex]\mathbf{\frac{5}{2}}[/tex]

Answer:

PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.

Step-by-step explanation:

The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The quadrilaterals which have supplementary consecutive angles are called Parallelogram.

A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.

The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.

Learn more about parallelogram;

https://brainly.com/question/28854514

#SPJ2

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways

Answer:

y = 3x - 5

Step-by-step explanation:

It passed through both points because of the y intercept and also the x intercept or contant matches up with the points

Answer:

3(8x-3)

Step-by-step explanation:

Step-by-step explanation:

A = P(1 + r)^t

£5263.73 = £4000(1 + 0.01x)^7

(1 + 0.01x)^7 = 1.3159325

1 + 0.01x = 1.04

0.01x = 0.04

x = 4.

The value of x is 4.

Answer:

b²-4ac=0

Step-by-step explanation:

x=-b+0/2a

so,x=-b/2a

Answer:

300

Step-by-step explanation:

Every week you add 50 so 50x6 is 300

Answer: -4/15

Step-by-step explanation:

The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]

You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10)  and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))

You just plug in the y values on the top, the x values on the bottom and solve!

1) Plug in your values (10-(14)/8-(-7))

2) Open up your parentheses (10-14/8+7)

3) Solve -4/15

These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D

Answer:

the inequality would be p<6

the graph is below.

Step-by-step explanation:

Here's how to solve the equation:

p-4<2

add 4 to both sides

p<6

The English translation of the inequality would be "p is less than 6".

please see below for the graph.

Hope this helps! :)

Answer:

8 cm

Step-by-step explanation:

Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-

⇒ cos 37° = AB / AC

⇒ cos 37° = AB / 20 cm

⇒ 4/5 = AB / 20 cm .

⇒ AB = 4/5 * 20 cm .

⇒ AB = 16 cm .

Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .