Answer:
5.7in
Step-by-step explanation:
using Pythagorean theorem
c^2=a^2+b^2
c=9in ,a=7in,b=xin
9^2=7^2+x^2
81=49+x^2
x^2=81-49
x^2=32
x=√32
x=5.7in(to the nearest tenth)
Answer:
15ft
Step-by-step explanation:
This question is based on greatest common multiple.
Answer:
Cynthia is right that Andy made an error.
Step-by-step explanation:
As per Andy, action dvds are =
And comedy dvd's are =
So, in total these become =
= =
This is not 4/9 as per Andy.
Answer:
16.5mm to. 1 decimal place
Step-by-step explanation:
Please check attachment for diagrammatic representation of the triangle.
Since one of the angles of the triangle is 90, this means that we are dealing with a right angled triangle
To find the length of AC, we make use of pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the other two sides. The hypotenuse is the longest side of the triangle which we have as 17.88 mm
Mathematically therefore
17.8^2 = 6.6^2 + AC^2
AC^2 = 17.8^2 - 6.6^2
AC^2 = 283.28
AC = √(273.28)
AC = 16.53 mm
This is 16.5 to 1 decimal place
Answer:
We conclude that the steel has an average hardness index of at least 64.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 64
Sample mean, = 62
Sample size, n = 50
Alpha, α = 0.051
Sample standard deviation, s = 8
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to reject the null hypothesis and accept the null hypothesis. Thus, we conclude that the steel has an average hardness index of at least 64.