Answer:
test statistic, z = −1.74
Step-by-step explanation:
given data
students n = 100
mean time x = 41.13 seconds
σ = 5
we consider µ = 42
solution
we get here The test statistic that is express as
test statistic, z = 
......................1
put here value and we will get
test statistic, z = \frac{41.13-42}{\frac{5 }{\sqrt{100}}}
test statistic, z = −1.74
The architect earns $47000 yearly and the lawyer earns $68,000 yearly.
<h3>How to solve algebra problems?</h3>
Let x = salary of architect, in thousands
Let 2x - 26 be the salary of lawyer, in thousands
Thus, if their salary combined is $214 thousand, then we have the algebra expression;
2x + 2x - 26 = 214
4x - 26 = 214
4x = 214 - 26
4x = 188
x = 47, in thousands.
The architect earns $47000 yearly
The lawyer earns 2(47000) - 26000 = $68,000 yearly
Read more about Algebra Problems at; brainly.com/question/4344214
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Random sampling. its where you pick or make a smaple at random
Answer: 4) 157
Step-by-step explanation:
We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.
In 7-th grade we have:
Left handed : 11
Right handed: 72
The ratio is 11/72 = 0.14
Then, the ratio for the 8-th graders must be about the same:
Left handed: 24
Right handed: X
Ratio: 24/X
Let's start with the bigger option, X = 157.
24/157 = 0.15
Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)
Then the correct option is 4) 157
First you have to change each one into a decimal.
10% = 0.10
1/9 = 0.11
So the answer has to be between 0.10 and 0.11.
A is more than 0.11.
B is more than 0.11.
C is between 0.10 and 0.11.
D is less than 0.10.
The answer is C. 0.108.
