Answer:
50 beats per minute
Step-by-step explanation:
20/100×h=10
h=10*5
= 50 beats
Question
Is 5 5/6 bigger then 5 5/10?
Answer:
<h2>
yes</h2>
Step-by-step explanation:
5 : 6 = 0.83
5 : 10 = 0.5
0.83 > 0.5
--------------------
5 5/6 is bigger then 5 5/10
Answer: There is convincing evidence at the the significance level that the DMV's claim is incorrect.
Step-by-step explanation:
Since we have given that
Hypothesis:

Probability of teens pass their drivers test on the first attempt = 60% = 0.60
Number of teens = 125
Number of them passed the tests on their first try = 86

So, the value of test statistic would be

At α = 0.05% level of significance, critical value = 1.645
Since 1.645 < 2.01
So, we will reject the null hypothesis.
Hence, there is convincing evidence at the the significance level that the DMV's claim is incorrect.
Answer:

Step-by-step explanation:
So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.
First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

Plug -2 for one of the slopes.

Divide by -2 to find the slope of our line.

Thus, our line needs to have a slope of 1/2.
Now, let's use the point-slope form. The point-slope form is given by:

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

Simplify and distribute:

Subtract 4 from both sides:

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.
Remainder: 6 when divided by 12
So 12x6= 72
Original number: 72
72/9= 8
The remainder: 8