Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
The most probable answer if you pull one out would be you pull a green marble.
The difference between the two mass is 151950g
Data;
- Mass a = 29.48kg
- Mass b = 181,430g
<h3>Difference Between The Mass</h3>
To calculate the difference between the mass, we must do so in the same unit. i.e both mass a and mass b must be in the same unit.
<h3>Conversion of Mass from Kg to g</h3>
Let's convert mass a from kg to g

Using this, we can find how many grammes are in 29.48kg

Now we can find the difference between mass b and mass a

The difference between the two mass is 151950g
Learn more on difference between two numbers here;
brainly.com/question/18591813
Answer:
10. 9
In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.
Therefore,
15^2 = 12^2+x^2
225=144+x^2
81=x^2
x=9
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11. x=12
In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:
11+a+b=21
a+b=10
5+5=10
b=5
a=5
The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:
c^2 = a^2+b^2
13^2=5^2+x^2
169=25+x^2
144=x^2
144= 12 x 12
x=12
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12.
The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.
c^2 = a^2+b^2
2^2 = (square root of 3)^2+b^2
4=3+b^2
1=b^2
b=1
Step-by-step explanation:
A = P(1 + r)^n
where A is the amount after n years, P = principal( initial amount), r = annual rate as a decimal fraction and n = number of years
If interest is accumulated say monthly then it would be
A = P(1 + r/12)^12n
For quarterly replace the 12 by 4