The Hiking Club plans to go camping in a State park where the probability of rain on

dangina [55]

Answer:

67/5 = 13 2/5

Step-by-step explanation:

Step 1: Define/explain.

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

Improper fraction - a fraction with a numerator larger than the denominator.

Step 2: Solve.

$8\frac{3}{5} =\frac{43}{5}$

$4\frac{4}{5} =\frac{24}{5}$

From here, add as usual.

$\frac{43}{5} +\frac{24}{5} =\frac{67}{5}$

Step 3: Conclude.

You can change the improper fraction to a mixed fraction if you'd like.

To do this, divide the numerator by the denominator.

The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

$\frac{67}{5} =13\frac{2}{5}$

I, therefore, believe the answer to this is 13 2/5.

5 0

2 years ago

In the diagram, the measures of angle 3 and angle 6 are 50 degrees. The measure of angle 5 is 130 degrees. Are lines c and d par

Virty [35]

9514 1404 393

Answer:

(c) Yes, because angle 3 and angle 6 are congruent

Step-by-step explanation:

Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.

__

We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.

7 0

2 years ago

Identify the equations as parallel lines, perpendicular lines, or neither.

Alex

Answer:

B. Parallel

Step-by-step explanation:

Equation 1 simplified: y = 3x+7

Equation 2 simplified: y = -x/3-3

The slopes are completely different, ruling out the possibility of the lines being parallel.

But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.

4 0

2 years ago

Read 2 more answers

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an

Serggg [28]

Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

where $\mu$ is the mean, $\sigma$ is standard deviation and i changes from 1 to 2.

1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

Subtract first equation from the second:

$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

3 0

2 years ago

Read 2 more answers