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3 years ago

Does the relation {(5,-2), (5,-8), (4,-6), (7,-1)} represent a function?

Mathematics

1 answer:

Sergio [31]3 years ago

5 0

Answer:

no, it does not

Step-by-step explanation:

if it was a function, all the x values would've been different, but since 5 is repeated, it is not a function.

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John di Silvestre obtained a loan to buy a cello for $8,400. He pays 12% exact interest on the loan for 146 days. What is the am

Svetradugi [14.3K]

Normally when they tell you interest rate they say per annum meaning the percent interest rate for a year.

But in this problem they seem to say John pays 12% for a 146 day loan.

So interest = P * r / 100 = 8400 * 12/100 = $1,008.00
Maturity value = Principal + Interest = 8400 + 1008 = $9,408.00

7 0

3 years ago

Complete the equation of the line through (-10,-7) and (-5, -9). Use exact numbers,

steposvetlana [31]

Answer:

$y=\frac{-5}{2}*x + 18$

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

$y=m*x+b$

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

$m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}$

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

$m=\frac{-5 - (-10) }{-9 - (-7)}$

Resulting that $\frac{-5}{2}$

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

$-7=\frac{-5}{2}*(-10)+b$

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.

8 0

3 years ago

Read 2 more answers

The equation of the line CD is (y-3)=-2(x-4). what is the scope of the line perpendicular to line CD

Delicious77 [7]

Answer:

y=-1/2x-5

Step-by-step explanation:

First we need to put (y-3)=2(x-4) in slope intercept form.

we need to do order of operations....

so we need to first do the parenthesis

x*2= 2x

2*-4= -8

y-3=2x-8

add 3 on both sides to isolate y

y= 2x-5

so now we know the y=mx+b form

this is one line...

now we need to find out what line is perpendicular.

Perpendicular lines have opposite reciprocals slopes.

y=-1/2x-5

8 0

3 years ago

3,200 people who owned a certain type of car,1,280 said they would buy that type of car again. What percent of the people surve

Phoenix [80]

Answer:

40%

Step-by-step explanation:

100%->3200

1%->32

1280÷32= 40 %

3 0

3 years ago

A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 m

DochEvi [55]

Answer:

No, at alpha equals 0.10, we do not have enough evidence to support the county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.

Let $\mu$ = true mean speed of the vehicles.

SO, Null Hypothesis, $H_0$ : $\mu \leq$ 30 miles per hour {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}

Alternate Hypothesis, $H_A$ : $\mu$ > 30 miles per hour {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean speed of 15 vehicles = 31 mph

s = sample standard deviation = 4.7 mph

n = sample of vehicles = 15

So, test statistics = $\frac{31-30}{\frac{4.7}{\sqrt{15} } }$ ~ $t_1_4$

= 0.824

Hence, the value of test statistics is 0.824.

Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

4 0

4 years ago