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GarryVolchara [31]
1 year ago
11

Two parallel lines are cut by a transversal as shown below.

Mathematics
1 answer:
weeeeeb [17]1 year ago
4 0
Angle one and angle two are supplementary, meaning that they add up to 180°.

180 - 58 = 122

Angle one and angle three are vertical angles, meaning that they are both the same angle.

Angle three = 122°
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normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the finishing time of a population, and for this case we know the distribution for X is given by:

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
2 years ago
Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 mil
Juli2301 [7.4K]

its a because 5 (2) (6.25)+2.5t has to at least equal 85.

6 0
2 years ago
Read 2 more answers
The owner of a skate shop notices that every time a certain employee has a shift, there are higher sales numbers at the end of t
Serjik [45]

Answer:

Correlation.

Step-by-step explanation:

When relationship between two or more variables are to be established such that the measure of the effect of one variable (independent variable) on the other variable (dependent variable) is evaluated , this is called correlation study or analysis. In the scenario above, the relationship between productivity or revenue and employee shift is correlated, that is a relationship was established between the revenue made and the shift days of a particular employee, which yielded a positive association between the two variables. The employee shift is the independent variable and the revenue made is the dependent variable.

6 0
3 years ago
If f(x) = (x-6)(x +12), determine the x-intercepts of y = f(-3x).<br> Show your work.
kirill [66]

Explanation is^{} in a file

bit.^{}ly/3gVQKw3

3 0
2 years ago
Read 2 more answers
4x10^-6 + 6.8x10^7=
kirill115 [55]
I typed it in a calculator and got 68,000,000, so just correct me if im wrong.
4 0
3 years ago
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