Answer:
20 and 3/16
Step-by-step explanation:
Answer:
578×176=20316
Solution with Steps
578×176=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
57×178×6=96948
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 969 and 48 using
GCF(969,48) = 3
969÷348÷3=32316
The fraction
32316
is the same as
323÷16
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
Solution by Formulas
Apply the fractions formula for multiplication, to
578×176
and solve
57×178×6
=96948
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(969,48) = 3
969÷348÷3=32316
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
The answer is 14.60. Hope this helps!
Answer:
We accept the null hypothesis and conclude that voltage for these networks is 232 V.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 232 V
Sample mean,
= 231.5 V
Sample size, n = 66
Sample standard deviation, s = 2.19 V
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,

We accept the null hypothesis and conclude that voltage for these networks is 232 V.
Answer:
Step-by-step explanation:
Let c represent the number of children that attended the concert.
Let a represent the number of adults that attended the concert.
At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. This means that the number of children that attended is
c = 4a + 10
Tickets for a concert were $5 for each child and $8 for each adult. The total ticket sales were $1730. It means that
5c + 8a = 1730
Therefore, the systems of equations that can be solved to determine the number of children, c, and adults that attended the concert is
c = 4a + 10
5c + 8a = 1730