Answer:
There is evidence to prove that mean is less than 60 hours.
Step-by-step explanation:
Given that the mean work week for engineers in a start-up company is believed to be about 60 hours.
Sample size taken = 10
(left tailed test )
Data (length of mean work week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55.
Mean difference = -3
Test statistic t =mean differene/std error
= -20.72
p value <0.00001
Since p < 0.05 at 5% level we reject H0
There is evidence to prove that mean is less than 60 hours.
Answer:
8
Step-by-step explanation:
Given:
Total money Jervane can spend = $20.
Cost of a coffee = $3.
Cost of a donut = $2.
To find: Maximum number of donuts Jervane can buy.
Solution:
Let the number of donuts she can buy be .
She wants to spend no more than $20 in total.
So,
As the number of donuts can only be a natural number.
Hence, the maximum number of donuts that Jervane can buy are 8.
The radius of the circle is 3.12 inch.
<h3>What is isosceles triangle?</h3>A triangle having two sides of equal length. Additionally equal are the angles that face the equal sides. Triangle of isosceles. Having two identical sides and angles.
Calculation for the radius of the circle;
Consider the isosceles triangle ABC inscribed in a a circle (attached figure)
Sides AB = AC = 5 inches.
Side BC = 6 inches.
Join OB, OC and OA.
Draw perpendicular on BC from AD which passes from the centre O.
OD bisects BC at point D.
So, BD = DC = 3 inches.
In the right angled triangle ABC
AB² = AD² + BD²
5² = AD² + 3²
AD² = 16
AD = 4 inches.
Let the radius of the circle be r.
Then, OB = OC = OA = r
OD = AD - AO
OD = 4 - r
In the right angled triangle OBD;
OB² = OD² + BD²
r² = (4-r)² + 3³
On solving,
r = 25/8 = 3.12
Therefore, the radius of the circle comes out to be 3.12 inches.
To know more about the isosceles triangle, here
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