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algol13
3 years ago
15

Mark all the statements that are true.

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

A, E

Step-by-step explanation:

The function is the rule that maps to each x exactly one y (these y can be the same). Thus the given graph represents the function (option C is false).

The domain of the function are all possible values for x. Thus, from the given graph the domain of the function are all real numbers (option E is true, option D is false).

The range of the function are all possible values for y. Thus, from the given graph the range of the function is the set {3} (option A is true, option B is false).

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1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the
Musya8 [376]

Answer:

A) 34.13%

B)  15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

                                                =  0.5 - 0.1587 = 0.3413

It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587

C) Between 80 and 120

P( 80

D) less than 80

P( x < 80 ) = P( z

E) Between 70 and 100

P( 70

F) More than 130

P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013

8 0
3 years ago
Population of Jacksonville was 3810 and 2010 and is growing at an annual rate of 3.5% if the growth rate continues what will the
grin007 [14]

Answer:

FV= 5,958.67 = 5,959

Step-by-step explanation:

Giving the following information:

Current population (Present Value)= 3,810

Growth rate (g)= 3.5% annual

Number of periods (n)= 13 years

<u>To calculate the future number of people (FV), we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 3,810*(1.035^13)

FV= 5,958.67 = 5,959

4 0
3 years ago
Solve for v<br><br> 3v+9-8v= -31<br> Simplify your answer as much as possible.
balandron [24]
Let's solve your equation step-by-step.
<span><span><span><span>3v</span>+9</span>−<span>8v</span></span>=<span>−31
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>−<span>5v</span></span>+9</span>=<span>−31
</span></span>Step 2: Subtract 9 from both sides.
<span><span><span><span>−<span>5v</span></span>+9</span>−9</span>=<span><span>−31</span>−9</span></span><span><span>−<span>5v</span></span>=<span>−40
</span></span>Step 3: Divide both sides by -5.
<span><span><span>−<span>5v</span></span><span>−5</span></span>=<span><span>−40</span><span>−5
</span></span></span><span>v=<span>8</span></span>
6 0
3 years ago
There are a hundred and fifty students in the fifth grade in Washington Elementary School 2/5 of the students like soccer and 3/
ArbitrLikvidat [17]

Answer:I believe 45students like basketball and 60 like soccer

Step-by-step explanation:

2/5=.4

.4*150= 60

3/10=.3

.3*150=45

5 0
3 years ago
Find the student’s error in solving the following inequality.
Vera_Pavlovna [14]
Hello,
Answer C

When you divide by a negative number the order is invert. (< become >")
5 0
3 years ago
Read 2 more answers
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