Answer:
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Step-by-step explanation:
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Since these are alternate interior angles, they should be congruent. Equating the measures given:
-x - 30 = 5x - 30
x = 0
However, this is not true, since the diagram clearly shows that there is a positive angle between them.
The best answer is choice B.
Answer:
21 minutes
Step-by-step explanation:
Given the following :
Taking CITY STREET:
Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours
Speed of travel = 30 miles per hour
Taking FREEWAY:
speed of travel = 65miles per hour
If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :
.
Distance to bowling alley taking city center :
Speed = distance / time
30 mph = distance / 0.75 hour
Distance = 30 × 0. 75 = 22.5 miles
Since distance is the same :
Time taken along FREEWAY :
Time taken = distance / speed
Time taken = 22.5 / 65 = 0.3461538 hour
Converting to minutes :
0.3461538 × 60 = 20.769 minutes
= 21 minutes ( to the nearest minute)
Answer:
- <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>
Explanation:
<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.
The functions to graph are f(x) = 4x, and g(x) = 26.
The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.
Some of the points to graph that line are:
<u>x f(x) = 4x </u>
0 4(0) = 0 → (0,0)
2 4(2) = 8 → (2,8)
4 4(4) = 16 → (4,16)
6 4(6) = 24 → (4, 24)
With those points you can do an excellent graph of f(x) = 4x
The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.
You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.
Answer:
Part (A): The correct option is true.
Part (B): The null and alternative hypothesis should be:
Step-by-step explanation:
Consider the provided information.
Part (A)
A random sample of 100 students from a large university.
Increasing the sample size decreases the confidence intervals, as it increases the standard error.
If the researcher increase the sample size to 150 which is greater than 100 that will decrease the confidence intervals or the researcher could produce a narrower confidence interval.
Hence, the correct option is true.
Part (B)
The researcher wants to identify that whether there is any significant difference between the measurement of the blood pressure.
Therefore, the null and alternative hypothesis should be:
