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Levart [38]
3 years ago
10

Sylvie is going on vacation. She has already driven 61 miles in one hour. If she then travels for 5 hours at an average speed of

57 miles per hour, what is the total distance that Sylvie will have driven?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
61+ 5(57)= 346 miles 

Sylvie has driven a total distance of 346 miles
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What is (are) the apparent x-intercept(s) of the function graphed above?
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Plz help me with this
Agata [3.3K]

Answer:

It's the first option.

Step-by-step explanation:

y = cos x transformed  to cos (x - π/2) moves  the graph  π/2 units to the right.

Multiplying by 3 to give 3 cos(x -  π/2)  stretches the graph 3 units parallel to the y-axis and adding 3 to this moves the graph up 3 units.

So the required equation is y = 3(cos x -  π/2) + 3.

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3 years ago
Mahesh charges $21.50 a month for cutting his neighbor's lawn. How much money will he make in a year? A. $258.00 B. $215.00 C. $
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A. $258.00

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There are 12 months in a year so you will simply have to multiply $21.50 by 12


21.50 x 12


258

6 0
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Whats p divided by 3
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4 0
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Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, port
GrogVix [38]

Answer:

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

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 scores of a population, and for this case we know the distribution for X is given by:

X \sim N(49.5,15)  

Where \mu=49.5 and \sigma=15

We are interested in the bottom 10% of the data.

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

P(X>a)=0.9   (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 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

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=-1.28

And if we solve for a we got

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

7 0
3 years ago
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