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3 years ago

Ejercicio1:

Mathematics

1 answer:

Lemur [1.5K]3 years ago

5 0

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT = 15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700

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A company wants to establish that the mean life of its batteries, when used in a wireless mouse, is over 183 days. The data will

enyata [817]

Answer:

a) Null and alternative hypotheses are:

$H_{0}$ : mu=183 days

$H_{a}$ : mu>183 days

b) If the true mean is 190 days, Type II error can be made.

Step-by-step explanation:

Let mu be the mean life of the batteries of the company when it is used in a wireless mouse

Null and alternative hypotheses are:

$H_{0}$ : mu=183 days

$H_{a}$ : mu>183 days

Type II error happens if we fail to reject the null hypothesis, when actually the alternative hypothesis is true.

That is if we conclude that mean life of the batteries of the company when it is used in a wireless mouse is at most 183 days, but actually mean life is 190 hours, we make a Type II error.

4 0

4 years ago

How to solve this problem

Agata [3.3K]

So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4

(-4,-6) is your final answer.

7 0

3 years ago

A race car can complete 8 laps in 1/3 hour. At this rate, how many hours will it take the race car to complete 1 lap? 1/240 1/24

Marrrta [24]

Answer:

Step-by-step explanation:

The race car is doing 8 laps in 1/3 hour, in one hour the car is doing:

8laps * (1/3) hour) = 8*3 laps / 1hour = 24 laps/hour.

Now, to complete one lap, the car will it take:

1 lap * (1 hour / 24 laps) = 1/24 hours the race car requires to complete 1 lap. Right answer is:

8 0

3 years ago

I will give brainliest

natka813 [3]

Answer:

its 6

Step-by-step explanation:

5 0

3 years ago

8. Write an equation for a line that is parallel to the given line and that passes through the given point.

stepan [7]

Answer:

B. y = 5/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y − y 1 = m (x − x 1 ) to find the line parallel to y = 5 /2 x − 10 .

y = 5 /2 x − 14 PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 5 /2 x − 10 .

y = − 2 /5 x − 157 /5 PERPENDICULAR

8 0

3 years ago