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Nadya [2.5K]
2 years ago
6

The time required to finish a test in normally distributed with a mean of 70 minutes and a standard deviation of 10 minutes. Wha

t is the probability that a student chosen at random will finish the test in less than 60 minutes?
Mathematics
1 answer:
zalisa [80]2 years ago
3 0
Note that 60 minutes is 1 standard deviation away from the mean and from recalling the 68-95-99.7 rule, the area that will remain is (100 - 68) = 32%. However, we only want the leftmost portion of this area, so the answer is 32%/2 = 16%. 

<span>Choose D.</span>
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PLEASE HELP ME!
arlik [135]

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

5 0
3 years ago
Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​
JulijaS [17]

Answer:

g(x) = \frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒  3[g(x)] + 5 = x + 4

⇒  3[g(x)] = x + 4 - 5

⇒  3[g(x)] = x - 1

⇒  g(x) = \frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}

5 0
2 years ago
Which equation has a vertex at (3,-2) and directrix of y = 0?
bija089 [108]

Answer:

<h3>C: y+2=-1/8(x-3)^2</h3>

Edge 2021

4 0
2 years ago
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A
Nezavi [6.7K]
Class A: 6v + 8b = 202

Class B: 12v + 16b = 284

Solve using the elimination method:
since 6v and 12v are perfect for elimination, multiply the class A equation by 2 so that the van variable cancels out: 

12v + 16b = 404
12v + 10b = 284

Then subtract the bottom equation from the top:

6b = 120
b = 20 

Now you know that each bus can hold 20 students.
Just plug this into one of the original equations to solve for vans:

6v + 8(20) = 202
6v + 160 = 202
6v = 42 
v=7 

So then you know that each van can hold 7 students. 

Check:
12 (7) + 10 (20) = 284 


<span />
3 0
3 years ago
Donna feeds her dog 3/4
svet-max [94.6K]
The answer is 48. Because 36 divided by .75 or 3/4 is 48
5 0
3 years ago
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