Answer:
YES
Step-by-step explanation:
Explanation:
If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.
The Pythagoras Theorem is
a
2
+
b
2
=
c
2
Substituting we get:
12
2
+
35
2
=
37
2
12
⋅
12
+
35
⋅
35
=
37
⋅
37
144
+
1225
=
1369
1369
=
1369
Because these are equal this is a right triangle.
Answer:
Sandwich sells for $4.76 .
Step-by-step explanation:
As given
It costs $2.80 to make a sandwich at the local deli shop.
To make a profit, the deli sells it at a price that is 170% of the cost.
170% is written in the decimal form
= 1.7
Thus
Sandwich selling cost = 1.7 × Cost of making
Put all the values in the above
Sandwich selling cost = 1.7 × $ 2.80
= $4.76
Therefore the Sandwich sells for $4.76 .
It would be -6. -4-6 is -10
Answer:
We have to find the 90% confidence interval for the mean
Given sample size
Sample mean
Population standard deviation
Here the confidence level is 90% then
And
The 90% confidence interval is
Here is the critical value at 0.05
From the tables
Now the 90% confidence interval is =
=
=(3840.44, 4133.56)
Hence the 90% confidence interval for the mean is (3840.44, 4133.56)
