Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean, = 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
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 reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
Answer:
perpendicular = 10.24 cm
Step-by-step explanation:
by pythagorus theorem,
( where, h = hypotenuse, b = base,
p = perpendicular )
so,
=》
=》
=》
=》
perpendicular = 10.24 ( root 105 )
Answer:
b= 3a-c
Step-by-step explanation:
Solve for b.
a= 1/3(b+c)
multiplying both sides by 3.
3a= b+c
subtract c from both sides.
3a-c=b
or
b= 3a-c
We know that
AE*EC=DE*EB-----------> <span>String theorem
AC=8 in----------> AE=AC/2----------> AE=4 in
EC=AE-----------> EC=4 in
BE=2.5 in
DE=?
DE=(AE*EC)/EB----------> DE=</span>(4*4)/2.5---------> DE=6.4 in
<span>
then
diameter=DE+EB--------> 6.4+2.5=8.9 in
the answer is
the diameter is 8.9 in
</span>
Answer: The answer is 12.
Step-by-step explanation: Given that a point 'x' is lying at on the number line. Another point 'y' is also lying at the same distance from 0 but has a numerator of 8. We are to find the denominator of 'y'.
Since 'x' is lying at on the number line so its distance from 0 will be
Let the denominator of 'y' be p, then its distance from 0 will be
According to the given information, we must have
Thus, the denominator will be 12.