Answer:
The <em>p-</em>value of the test is 0.106.
The null hypothesis will be accepted at 5% level of significance.
Step-by-step explanation:
The hypothesis test is left-tailed.
The test statistic value is: <em>z</em> = -1.25.
The significance level of the test is: <em>α</em> = 0.05.
The <em>p</em>-value of a left-tailed hypothesis test is:
The <em>p-</em>value of the test is 0.106.
**Use the <em>z-</em>table for the probability.
<u>Decision rule:</u>
If the <em>p</em>-value is less than the significance level the null hypothesis will be rejected and if it is more than the significance level the null hypothesis will be accepted.
The <em>p</em>-value = 0.106 > <em>α</em> = 0.05.
The null hypothesis will be accepted at 5% level of significance.
4.42×10^34 molecules/min
<h3>Step-by-step explanation:</h3>Multiply the various factors, along with the unit conversion (60 s/min).
... (3.35×10^25 molecules/L) × (2.2×10^7 L/s) × (60 s/min)
... = (3.35×2.2×60)×10^(25+7) molecules/min
... = 442.2×10^32 molecules/min
... ≈ 4.42×10^34 molecules/min
_____
<em>Comment on scientific notation problems</em>
Your scientific or graphing calculator will allow you to enter and display numbers in scientific notation.
Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
