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Ierofanga [76]
1 year ago
14

john and jack found a coin on the sidewalk. they argued about whether the coin is fair. john claimed a 40% chance for the coin t

o land on heads based on his careful observation of the coin. jack believed the chance would be lower. to support his claim jack tossed the coin 50 times and the observed sample is given below with 1 representing heads and 0 tails:
Mathematics
1 answer:
expeople1 [14]1 year ago
6 0

Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Here:

we can use 1 sample proportion test to check the claim of John

H₀ : p₀ = 0.4

H₁ : p₀ ≠ 0.4

Test statistic is

z = p - p₀/√p₀(1-p₀)n

Let X be the random variable denoting the number of heads.

Now p = X/n

= 8/50

= 0.16

p₀ = 0.4

1-p₀ = 1-0.4

= 0.6

z = -3.464

since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Learn more about Null hypothesis here:

brainly.com/question/15980493

#SPJ4

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sleet_krkn [62]

Answer:No

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

3 0
2 years ago
How many times larger is 1.9 × 10^-8 is than 4.2 × 10^-13<br><br>please help​
Jet001 [13]

Answer:

hope this helps!

Step-by-step explanation:

You have to divide:

1.9x10^-8 ÷ (4.2x10^-13)

= appr .45 x 10^5

= .45 x 100000

= appr 45,000 times as large

source: https://www.jiskha.com/questions/1857280/estimate-how-many-times-larger-1-9x10-8-is-than-4-2x10-13

credit: mathhelper

5 0
3 years ago
1.) The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approxi
const2013 [10]

Answer:

c .3.3

Step-by-step explanation:

pH is the negative log of the molar hydrogen ion concentration.The equation to calculate pH is;

pH = -log10[H+]

pH = -log10(5.0 x 10-4)

pH = 3.30

6 0
3 years ago
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What is the value of sin20sin30sin40sin80.
Ilya [14]
1,-1,1,-1 is your answer
3 0
3 years ago
JUST HELP ME! PLEASE!!..0o0<br><br>Applying the Pythagorean theorem, solve this triangle.​
Inessa [10]
<h3>Answer:    <u>100 ft</u>  is the hypotenuse</h3>

===================================================

Work Shown:

a = 60 and b = 80 are the two known sides

c  is the unknown hypotenuse

Applying the pythagorean theorem gets us...

a^2 + b^2 = c^2

60^2 + 80^2 = c^2

3600 + 6400 = c^2

10,000 = c^2

c^2 = 10,000

c = sqrt(10,000)

c = 100

A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.

Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.

4 0
3 years ago
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