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Nadya [2.5K]
3 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]3 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>
You might be interested in
If f(x) = -7x + 5x2 + 10, what does f(-2) equal?
Iteru [2.4K]

Answer:

44

Step-by-step explanation:

f(x) = -7x + 5x^2 + 10

f(-2) = -7(-2) + 5(-2)^2 + 10

= 14 + 20 + 10

= 44

6 0
3 years ago
Someone help me with this still im stock on it plz
pav-90 [236]

Answer:

a>4 or a < 8

Step-by-step explanation:

We can start with the inequality on the left

-a + 2(4+3a) > 28

expand using the distributive property

-a + 8 + 6a > 28

5a + 8 > 28

subtract 8 from both sides to isolate the variable and its coefficient

5a > 20

divide both sides by 5 to isolate a

a > 4

moving on to the inequality on the right

2a - (3a+4) > -12

treat the minus sign as a -1

2a + (-1)(3a+4) > - 12

expand

2a - 3a - 4 > - 12

-a - 4 > -12

add 4 to both sides to isolate a and its coefficient

-a > - 8

multiply both sides by -1 but change the sign because we are multiplying by a negative number

a < 8

5 0
2 years ago
What is the solution of this system of linear equations? 3y=3/2x+6 1/2y-1/4x=3.
tensa zangetsu [6.8K]

Answer:

No solution

Step-by-step explanation:

Please, separate equations with a comma, or the word "and," or a semicolon.

Next, determine the LCD and multiply both equations by it, so as to elimiinate the fractional coefficients.

3y=3/2x+6 1/2y-1/4x=3

should be written as the system

   3y=(3/2)x+6         Use parentheses around the fraction for clarity

(1/2)y-(1/4)x=3            Same:  use parentheses

The LCDs here are 2 (for the first equation) and 4 (for the second equation).  Multiply the first equation by 2 to eliminate the fractions:

   3y=(3/2)x+6         →   6y = 3x + 12, and

4[ (1/2)y-(1/4)x=3 ]     →   2y  -  x   = 12

Let's use the substitution method to solve this system.  Solve the 2nd equation for x, obtaining x = 2y - 12.  Substitute 2y - 12 for x in the 1st equation 6y = 3x + 12:

6y = 3(2y - 12) + 12, or

6y = 6y - 36 + 12

This reduces to 0 = -24, which is never true.  Thus,

this system has NO solution.

 

5 0
3 years ago
What is the scale factor? ( the answer must be a fraction).
MrRissso [65]
Since these are similar triangles you can use any two corresponding sides to figure out the scale factor.

Use the bottom side. Going from the first triangle to the second the scale factor is:
15/9 = 5/3
8 0
3 years ago
Write 16/24 in simplest form
Debora [2.8K]
8/12. 4/6. 2/3 is the simplest. Just keep dividing it down until you can't divide anymore:) 
6 0
3 years ago
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