MATHEMATICS HIGH SCHOOL

Any number that is divisible by 3 is also divisible by 6.Find a counterexample to show that the conjecture is false.
 21
18
24
12

Answers

Answer 1
Answer: 21/3 = 7        21/6 = 3.5
18/3 = 6        18/6 = 3
24/3 = 8        24/6 = 4
12/3 = 4        12/6 = 2

Each can be divided to obtain an integer, except:

21/6 = 3.5

So, while 21 can be divided by 3, it cannot be divided by 6 (for an integer anyway)
Answer 2
Answer: 21/3=7
but
21/6=3.5
.......

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How do I find precentges of money

Answers

The same you find the percentages of numbers

Write the most precise name for the space figure with the given properties. A lateral surface and two circular bases?

Answers

The figure would be a cylinder, which is two circular bases connected by a lateral side.
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Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 513 and standard deviation 81. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 22.7 and standard deviation 4.What is Elanor's standardized score?

Answers

Answer:

z =(680-513)/(81)=2.06

The Eleanor score is 2.06 deviations above the mean.

z =(27-22.7)/(4)=1.08

The Gerald score is 1.08 deviations above the mean.

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".  

Part a

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

X \sim N(513,81)  

Where \mu=513 and \sigma=81

For this case we can calculate the z score with the following formula:

z=(X-\mu)/(\sigma)

And if we replace we got:

z =(680-513)/(81)=2.06

So the Eleanor score is 2.06 deviations above the mean.

Part b

Let X the random variable that represent the ACT scores of a population, and for this case we know the distribution for X is given by:

X \sim N(22.7,4)  

Where \mu=22.7 and \sigma=4

For this case we can calculate the z score with the following formula:

z=(X-\mu)/(\sigma)

And if we replace we got:

z =(27-22.7)/(4)=1.08

So the Gerald score is 1.08 deviations above the mean.

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 60x + 10

Car B
y = 40x + 70

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

2 hours, 150 miles
2 hours, 190 miles
3 hours, 150 miles
3 hours, 190 miles

Answers

when the cars are at the same distance from the starting point the y will be the same for both of the equations.
which means that 60x + 10 = 40x + 70

⇒ 60x-40x=70-10 
⇒ 20x=60
⇒ x=3 hours

now that we know the x we can choose an equation and solve it

60x3+10=y⇒
⇒y=180+10
⇒y=190 miles

the correct answer is the last one: 3 hours, 190 miles

Jason takes 2 cl of medicine.how many ml is this.
Can someone please help.
Thanks

Answers

The answer is 20ml
Hoped I helped =)

The range of the function f(x) = x+5 is {7,9}. what is the function's domain?A. {2,4}
B.{-2,-4}
C.{12,14}
D.{-12,-14}
E.{0,5}

Answers

Answer:

Option A is correct

{2, 4} is, the function's domain.

Step-by-step explanation:

Domain is the set of all values of x for which function f(x) is defined.

Range is the set of all complete value of f.

Given the function:

f(x) = x+5

The range of the function is {7, 9}

When f(x) = 7

then;

x+5 = 7

Subtract 5 from both sides we have;

x = 2

When f(x) = 9

then;

x+5 =9

Subtract 5 from both sides we have;

x = 4

⇒Domain = {2, 4}

Therefore, the function's domain is, {2, 4}
A{2,4}. 
f(x)= x+5
y=x+5
7=x+5
x=2
---------
y=x+5
9=x+5
x=4
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