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Marina CMI [18]
3 years ago
14

Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probabil

ity of this occurring by chance is less than 0.01, assuming the coin is fair. Determine the meaning of the significance level.
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer: The probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

Step-by-step explanation:

Since we have given that

Number of times a coin tossed = 500

Number of times head occurs = 416

So, our Z-score would be

Z_\alpha =\dfrac{416}{500}=0.832

So, At significance level of 0.01, p-value of Z-score is .202704.

and p-value < 0.01, i.e. 0.202704<0.832.

Hence, the probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

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Calculate the rate of change from the graph below
qaws [65]

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

  • Δy is the vertical change
  • Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = \frac{3}{4} = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

7 0
3 years ago
Simplify (6x2 − 3 − 5x3) − (4x3 2x2 − 8). 9x3 − 4x2 − 5 −9x3 4x2 5 x3 − x2 − 13x3 −x3 x2 13x3.
Schach [20]

Like terms have the same variable and power. The simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.

<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

We know that to simplify an expression we need to add or subtract like terms, therefore,

(6x^2- 3 - 5x^3) -(4x^3+2x^2 - 8)\\\\= 6x^2- 3 - 5x^3 -4x^3-2x^2 + 8\\\\= - 5x^3 -4x^3+6x^2-2x^2+8-3\\\\ = -9x^3+4x^2+5

Hence, the simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.

Learn more about Like Terms:

brainly.com/question/2513478

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A rectangular barn measuring 14 feet b 10 feet is located in one corder of a fenced area. Robert ties his cow to the corner of t
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