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Mamont248 [21]
3 years ago
12

For a language test with normally distriuted scores, the mean was 70 and the standard deviation was 10. Approximately what perce

ntage of test takers scored a 60 or above?
Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer: 84.13%

Step-by-step explanation:

Given : The scores in a a language test with normally distributed.

Mean : \mu=70

Standard deviation: \sigma= 10

Let x be the random variable that represents the scores of students.

Formula for z-score: z=\dfrac{x-\mu}{\sigma}

For x= 60 , we have

z=\dfrac{60-70}{10}=-1

The probability f test takers scored a 60 or above :-

P(x\geq60)=P(\geq-1)=1-P(z

Hence, the percentage of test takers scored a 60 or above = 84.13%

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
What is an equation of the line, in point-slope form, that passes through the given point and has the given slope? Point: (7,3)
Ymorist [56]
I think the answer to your question may be C.)
8 0
3 years ago
Determine if a slope of two consecutive sides are parallel or neither? ​
inessss [21]

Answer:

No

Step-by-step explanation:

Two consecutive sides means that the two sides are connected in a shape by a vertex. If the sides were parallel, they would have to be right on top of each other, so two consecutive sides cannot be parallel.

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3 years ago
8 3/4 ÷ (-3 1/2) PLS I NEED HELP
Basile [38]

Answer:

you could have used a calculator

Step-by-step explanation:

-2.8

7 0
3 years ago
Read 2 more answers
How did they get this
katrin2010 [14]
Somewhere in the text, it must say that x = 2 and y = -1 or else, the values just seem made up out of thin air. 
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3 years ago
Read 2 more answers
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