Recognize whether the fractions are Cleveland right yes Arnel use fraction tiles or number lines

A coin is tossed 40 times and shows heads 23 times. Calculate the experimental probability of the coin showing heads.

Over [174]

Answer:

0.575

Step-by-step explanation:

There are two types of probabilities:

1. Theoretical Probability

2. Experimental Probability

The probability based on mathematical theories is called theoretical probability. It is not always true. i.e. the probability of getting a head in a toss of coin is 1/2 or 0.5 or 50%

Experimental probability is based on experiments. Experimental probability is always going to change whenever the experiment is performed.

The theoretical probability of getting a head while tossing a coin will always be 50% while experimental probability might be different the next time, experiment is performed.

In this case, the experimental probability will be 23/40 or 0.575 ..

8 0

3 years ago

If 5 times a number is subtracted from 3 times its square, the result is 2. Find the number.

grandymaker [24]

Answer:

x = 2 or x = - 1/3

Step-by-step explanation:

3x² - 5x = 2

3x² - 5x - 2 = 0

(x - 2) (3x + 1) = 0

x = 2 or x = - 1/3

5 0

3 years ago

PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba

kupik [55]

Answer:

Slope of the function is $=3.75$ ,Y-intercept $=20$ .

The function is $y=3.75(x)+20$ with initial value $=20$ ,Jordan puts $\$3.75$ each week andthe amount saved by Jordan after $52$ week $=215\$$ .

Step-by-step explanation:

To understand the slope and y-intercept lets assign $x$ as number of weeks and $y$ as the money saved by Jordan.

Jordan is already having a sum of $\$20$ inside the money bank so in $0$ week the amount is $\$20$ can be written as $(x,y) =(0,20)$ in coordinate form.

SImilarly

We have $(x,y) =(0,20)$ and $(x_1,y_1) =(25,113.75)$

Part A:

The function is $y=m(x)+b$

From point-slope form,we have slope (m)

and $m=\frac{y_1-y}{x_1-x}$ ,plugging the values of the points.

$m=\frac{113.75-20}{25-0}=3.75$

Y-intercept of this function is the constant term or the money of $\$20$ that is already inside the money bank.

We can also calculate y-intercept by arranging the function as $b=y-m(x)$ choosing any $(x_1,y_1) = (25,113.75)$ coordinate and here $b$ is the y-intercept.