Alyssa performed an experiment to measure the acceleration of a falling ball. She ran the experiment many times. Her results were distributed normally, with a mean of 9.75 meters per second and a standard deviation of 0.08 meters per second. Alyssa can be 95% sure that her next measurement will fall between the values of and meters per second.​

Answer:

[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]

Step-by-step explanation:

[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

15x-6

Step-by-step explanation: 4 * 2x = 8x

4*-5 = -20

7*x  = 7x

7*2= 14

Combine like terms 8x + 7x + 14-20

15x-6

Answer:

$2.50

Step-by-step explanation:

6.25/2.5=2.5

Answer:

-7/1

Step-by-step explanation:

any number over 1 in a fraction is the number on the top of one for example

2/1 is 2 and 100/1 is 100 and even -7/1 is -7

Answer:

The ratio is 15:5 or 3:1. If Marianne is 3 years old, her brother is 1. And it is proportional...

Step-by-step explanation:

Answer:

In the graph, the y-intercept is -2. The equation of the line is [tex] y = x - 2 [/tex]

Step-by-step explanation:

The equation of the line can be written in the slope-intercept form, y = mx + b.

First we need to find:

The slope = m

the y-intercept = b

Using two points on the line, (0, -2) and (2, 0) the slope can be calculated as follows:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-2)}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept is simply the point at which the line intercepts the y-axis. It is the value of y when x = 0.

Therefore, the y-intercept, b, = -2.

Substitute m = 1 and b = -2 into [tex] y = mx + b [/tex].

Thus, the equation if the line would be:

[tex] y = (1)(x) + (-2) [/tex]

[tex] y = x - 2 [/tex]

Answer:

d. 90 cm, 1.2 cm

Step-by-step explanation:

Given that:

The sample size n = 36

For the  length of the link:

The mean [tex]\overline x[/tex] = 2.5

The standard deviation s = 0.2 cm

In a chosen 36 links, The mean and standard deviation for the length chain is as follows:

Mean = n[tex]\overline x[/tex]

Mean = 36×2.5

Mean = 90 cm

The Standard deviation = s×√n

The Standard deviation = 0.2×√36

The Standard deviation = 0.2×6

The Standard deviation = 1.2 cm

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Suppose Tetha = alpha = 26°

Then ;

[tex] \tan( \alpha ) = \frac{y}{x} \\ [/tex]

[tex] \tan(26°) = \frac{8}{x} \\ [/tex]

[tex]0.487 = \frac{8}{x} \\ [/tex]

Multiply sides by x

[tex]0.487x = 8[/tex]

Divide sides by 0.487

[tex]x = \frac{8}{0.487} \\ [/tex]

[tex]x = 16.427[/tex]

[tex]x≈ 16.43[/tex]

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Answer:

Your answer would be x = 63

Step-by-step explanation:

What I would do first is to isolate the -1/9x, which means I would subtract 17 on each side, giving me -1/9x = -7

Next I would multiply -9 (which is the inverse of -1/9) on both sides, negating the negative sign and making 63 positive, and thus isolating x as well.

Answer:

5 horas

Step-by-step explanation:

Answer:

Step-by-step explanation:

( [tex]4\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex] + [tex]6\frac{3}{4}[/tex] + [tex]4\frac{1}{2}[/tex] + 6 + 5 ) ÷ 6 =

( 4 + 3 + 6 + 4 + 6 + 5 + [tex]\frac{6}{4}[/tex] + 1 ) ÷ 6 = 30.5 ÷ 6 = [tex]\frac{61}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{61}{12}[/tex] = [tex]5\frac{1}{12}[/tex] horas al dia

Step-by-step explanation:

let eqn be y = mx + b.

Since perpendicular, m = - 1/(-0.5) = 2

sub (-8, 0):

0 = 2(8) + b

b = - 16

therefore equation is y = 2x - 16

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

4N left

5N left

0N (balanced)

9N right

Step-by-step explanation:

The net force is the vector sum of all of the forces acting on an object. To find the net force when there are two opposite forces subtract the smaller number from the larger, for example, 7-2. Then take to total, 5N, and add the direction of the stronger force. If the equation equals zero that means you have a balanced force. To find the force of two actions in the same direction simply add them.

Answer:

0

Step-by-step explanation:

From the given information;

Let x be the number of trails on which the [tex]r^{th}[/tex] defective occurs.

Let the probability that an occurrence of a defective be p = 0.10

Suppose x is a random variable that follows a negative binomial distribution with parameters r and p.

Then the probability mass function of X can be expressed as:

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)p^r (1 - p) ^{x-r} \ \ \ \ ; x=r, \ r+1 , \ r+2 , ...[/tex]

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r (1 - 0.10) ^{x-r}[/tex]

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r ( 0.90) ^{x-r} \ \ ... \ \ (1)[/tex]

We are to find the probability of the fourth defective engine will be found on the second trial.

i.e. r =  4 and x = 2

[tex]P(X=2) = \bigg (^{2-1}_{4-1} \bigg)(0.10)^4 ( 0.90) ^{2-4}[/tex]

[tex]P(X=2) = \bigg (^1}_{3} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]

[tex]P(X=2) = \bigg (\dfrac{1!}{3!(1-3)!} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]

[tex]\mathbf{P(X=2) = 0}[/tex]

Answer:

a

Step-by-step explanation:

a

The correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, an inequality 5-x<2(x - 3) + 5

On solving, we get,

5-x < 2x-6+5

5-x < 2x-1

5+1 < 3x

x < 2

Let y₁ = 5-x, and y₂ = 2(x - 3) + 5

Plotting the graph, we get the graph A

Hence, the correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A

For more references on inequality, click;

https://brainly.com/question/28823603

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Answer:

10/24

Step-by-step explanation:

hope this helps :)

Answer:

5/8

Step-by-step explanation:

Have a good day! :)

Answer:

y= −2x/3 + 400

Step-by-step explanation:

Hope this helps :)

Answer: what the other dude said

Step-by-step explanation:

Answer:

Each side is 6 units.

Step-by-step explanation:

The problem is not how to do the question. The problem is how to get your calculator to do the question.

V = s^3

s = ?

V = 216

So what you need is the cube root of 216

s^3 = 216

cube root(s^3) = cube root(216)

s = cube root 216

Your calculator should have a y^x or x ^y key.

Put in 216

Press the y^x key or the x^y key

Put in 0.33333333333

You should get something like 5.999999 which you should round to 6.

Answer:

C. (9, 26)

Step-by-step explanation:

By Substitution:

y = 2x + 8

y = 3x - 1

---------------------

2x + 8 = 3x - 1

-x + 8 = -1

-x = -9

x = 9

Now we can choose either of the two equations given to solve for y:

y = 2x + 8

y = 2(9) + 8

y = 18 + 8

y = 26

(9, 26)

By Elimination:

For this process, I am going to rewrite the equation in "x + y" for as it will make it easier to eliminate the variables

y = 2x + 8

2x - y = -8

y = 3x - 1

-3x + y = -1

-----------------

2x - y = -8

-3x + y = -1

-----------------

-x = -9

x = 9

2x - y = -8

2(9) - y = -8

18 - y = -8

-y = -26

y = 26

(9, 26)

Answer:

like terms is -7k-k and 12+8

Answer:

-0.4522

Step-by-step explanation:

Answer:12

Step-by-step explanation:

18/6=3 cups in each box

3*2=6 cups broke=2 boxes

18-6=12 cups are unbroken

Answer:

5 seconds per foot

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Sum of interior angles = ( number of sides -2) x 180 degrees.

Sum = (36-2) x 180

Sum = 34 x 180

Sum = 6,120 degrees.

Answer:

y= -5

Step-by-step explanation:

Answer:

y= -5

Step-by-step explanation:

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let RS = x , then PS = x²

2x² + 2x = 84

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = 6

PQ and RS are 6

QR and SP are 36

      Rise of the line with 50% slope and 50 feet rise = 100 feet

      Option (A) will be the answer.

         Slope = [tex]\frac{\text{Rise}}{\text{Rus}}[/tex]

Given in the question,

Slope of the line = 50%

                            = [tex]\frac{50}{100}[/tex]

                            = 0.5

Rise has been given as 50 feet.

Substitute the values in the expression for the slope,

[tex]0.5=\frac{50}{\text{Run}}[/tex]

Run = [tex]\frac{50}{0.5}[/tex]

       = 100 feet

    Therefore, run for the given line will be 100 feet.

                      Option A will be the answer.

Learn more about the slope of a line here,

https://brainly.com/question/2514839?referrer=searchResults