There are 4 reds out of 10 so the probability for a red would be 4/10 and for a yellow it would be 1/10. multiply them together to get 4/100 so your probability would be 1/25 or 0.04 or 4%
Answer:
b) B and D and c) A and C
Step-by-step explanation:
The hypotheses would be:
(Right tailed test at 5% level)
Sample proportions are
Sample A B C D
Success 31 34 27 38
Proportion p 0.775 0.85 0.675 0.95
Std error
(sqrtpq/n) 0.066 0.056 0.074 0.034
p diff
p-0.75 0.025 0.10 - 0.075 0.20
Z stat
p diff/SE 0.0757 1.77 1.01 5.80
p value 0.469 0.038 0.156 0.000001
we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.
b) Only B and D provide against the null. Because p <0.05
c) A and C provide no evidence for the alternative because p >0.05
Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large (100000000000) or small (0.00000000001) to be written in a conventional manner.
The use of this notation is based on powers of 104
Example:
Big numbers:
Small numbers:
However, in areas such as physics and chemistry, scientific notation is important to make approximations such as:
mass of a proton
mass of an electron and others.
<em>h ≈ 0.25 cm</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
- <u><em>density formula</em></u>
<em>d = m/V</em>
<em>V = l×w×h</em>
<em>replace</em>
<em>2.17 = 438/(40×20)×h</em>
<em>2.17 = 438/800×h</em>
<em>2.17×800×h = 438</em>
<em>1736h = 438</em>
<em>h = 438/1736</em>
<em>h ≈ 0,25 cm</em>
<em>Good luck !</em>
<em />
Answer:
C. 4(cos(300°) +i·sin(300°))
Step-by-step explanation:
The magnitude will be ...
magnitude = √(2^2 +(-2√3)^2) = √(4+12) = 4
The negative imaginary part puts the angle in the 4th quadrant. The answer choice with a magnitude of 4 and a 4th-quadrant angle is ...
4(cos(300°) +i·sin(300°))
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If you want to figure the angle, it will be ...
angle = arctan(Im()/Re()) = arctan(-2√3/2) = arctan(-√3) = -60°
The corresponding 4th-quadrant angle is 300°.
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<em>Comment on answer choices</em>
Answer choice A is <em>another representation of the same number</em>. Typically, we want the magnitude to be positive in polar form, so that answer can be avoided on those grounds.