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3 years ago

Answer this in the next 4 minutes and you can earn the BRAINLIEST answer!!! Please answer ASAP. Thanks in advance! :D

Mathematics

1 answer:

shutvik [7]3 years ago

8 0

3. is the answer, as you can see D is one and a half units to the right of the y axis at a height of 3 units and C is one and a half units to the left of the y axis with the same height. So D is "reflected" about the y axis and only the x coordinate changes sign from positive to negative.

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The computers of nine engineers at a certain company are to be replaced. Four of the engineers have selected laptops and the oth

Liono4ka [1.6K]

Answer:

a) There are 126 different ways are there to select four of the nine computers to be set up.

b) 31.75% probability that exactly three of the selected computers are desktops.

c) 35.71% probability that at least three desktops are selected.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, there are no replacements. Which means that after one of the 9 computers is selected, there will be 8 computers.

Also, the order that the computers are selected is not important. For example, desktop A and desktop B is the same outcome as desktop B and desktop A.

These are the two reasons why the combinations formula is important to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) How many different ways are there to select four of the nine computers to be set up?

Four computers are selected from a set of 9.

$T = C_{9,4} = \frac{9!}{4!(9-4)!} = 126$

There are 126 different ways are there to select four of the nine computers to be set up.

(b) What is the probability that exactly three of the selected computers are desktops?

Desired outcomes:

3 desktops, from a set of 5

One laptop, from a set of 4.

$D = C_{5,3}*C_{4,1} = 40$

Total outcomes:

From a), 126

Probability:

$P = \frac{40}{126} = 0.3175$

31.75% probability that exactly three of the selected computers are desktops.

(c) What is the probability that at least three desktops are selected?

Three or four

Three:

$P = \frac{40}{126}$

Four:

Desired outcomes:

4 desktops, from a set of 5

Zero laptop, from a set of 4.

$D = C_{5,4}*C_{4,0} = 5$

$P = \frac{5}{126}$

Total(three or four) probability:

$P = \frac{40}{126} + \frac{5}{126} = \frac{45}{126} = 0.3571$

35.71% probability that at least three desktops are selected.

4 0

3 years ago

Find the simple intrest on a 12000 loan with 3.9 intres for 60 mounths

melomori [17]

Answer:

$2,340

Step-by-step explanation:

Simple interest is calculated using the formula: I = prt, where I = simple interest, p = principle amount, r = interest rate and t = time in years. Since the initial, or principle amount is $12,000, the interest rate is 3.9% (0.039) and the time is 60 months, or 5 years (60/12 = 5), we can put these values into the formula and solve for 'I':

I = (12,000)(0.039)(5) = $2,340

3 0

3 years ago

Only 12 people can ride a trolley at one time. This is 20% of the people waiting to ride. How many people are waiting to ride?

Thepotemich [5.8K]

Answer:

2 people are waiting if you want a whole number

6 0

2 years ago

Read 2 more answers

How many solution this equation have 3r-5=3r-5

kykrilka [37]

Answer:

infinite solutions

Step-by-step explanation:

Hello!

Since 3r - 5 is on both sides of the equation we can put any number in for r and it would still be true so the answer is infinite solutions

The answer is infinite solutions

Hope this helps!

5 0

3 years ago

In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?

lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0

3 years ago

Read 2 more answers