Complete the multiplication table.

The horizontal position of a point

stira [4]

Ansienidq

scsunacu

Step-by-step explanation:

4 0

3 years ago

Try to estimate the probability you'd turn on the radio and hear a song you were thinking about. In other words, estimate the pr

Black_prince [1.1K]

Probabilities are used to determine the likelihood of events

The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

<h3>How to estimate the probability</h3>

To calculate the probability, we make use of the following representations:

Event A represents the likelihood of thinking of a song
Event B represents the likelihood of turning on the radio and hearing the song

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)

Assume that:

P(A) = 0.12 and P(B) = 0.47

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47

Evaluate the product

P(thinking of a song)P(turn on the radio and hear the song) = 0.0564

Approximate

P(thinking of a song)P(turn on the radio and hear the song) = 0.056

Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

Read more about probabilities at:

brainly.com/question/25870256

8 0

2 years ago

What is the smallest fraction between 1/2

ki77a [65]

What do you mean by this?

4 0

3 years ago

Complete the square x^2-10=16<br><br>

Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

- the form x² ± bx + c is a completing square if it can be put in the form

(x ± h)² , where b = 2h and c = h²

# The completing square is x² ± bx + c = (x ± h)²

# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

∵ The equation is x² - 10x = 16

- We will add 25 and subtract 25 to the equation to make the

completing square without change the terms of the equation

∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

∴ (x² - 10x + 25) = 41

* Use the rule of the completing square above

- Let (x² - 10x + 25) = (x - 5)²

∴ (x - 5)² = 41

3 0

3 years ago

Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. It is the end of berry picking season, so

Diano4ka-milaya [45]

System of inequalities representing given scenario is as follows

x + y ≤40

5x + 4y ≥ 120

<h3><u>Solution:</u></h3>

Given that Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. She has enough berries for no more than 40 jars.

The blueberry jelly sells for $5 per jar,

And the strawberry jam sells for $4 per jar.

Sara's goal is to make at least $120

Need to write system of inequalities for above scenario.

Let’s assume number of jars of blueberry jelly be represented by variable “x”

And assume number of jars of strawberry jam be represented by variable “y”

<em><u>Let’s create first inequality </u></em>

As it is given that Sara has enough berries for no more than 40 jars, so total number of jars cannot be more than 40.

=> Number jars of blueberry jelly + number of jars of strawberry jam ≤40

=> x + y ≤ 40 ------(1)

<em><u>Now let’s create second inequality </u></em>

Selling Price of 1 blueberry jelly = $5

So Selling Price of "x" blueberry jelly $=x \times 5=5 x$

Selling Price of 1 strawberry jam = $4

So Selling Price of "y" strawberry jam = $\$ 4 \times \mathrm{y}=4 y$

So amount generated by selling x blueberry jelly and y strawberry jam = 5x + 4y

And as Sara’s goal is to generate at least $120, so amount generated by selling “x” blueberry jelly and “y” strawberry jam must be greater than $120

=> 5x + 4y ≥ 120 ------ (2)

Hence system of inequalities representing given scenario is as follows :

x + y ≤40

5x + 4y ≥ 120

3 0

3 years ago

Complete the multiplication table. ​

Complete the multiplication table.