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3 years ago

What is -2(5+6m) + 16 = -90 ? Can you please show with detail

Mathematics

1 answer:

GarryVolchara [31]3 years ago

4 0

Answer:

m = 8

Step-by-step explanation:

-2(5 + 6m) + 16 = -90

Start by distributing -2 inside the parentheses. This means you will multiply everything inside the parentheses (5 + 6m) by -2.

-10 - 12m + 16 = -90

Simplify the left side of the equation by combining like terms.

6 - 12m = -90

Subtract 6 from both sides of the equation to isolate the term containing the variable m and to move all other terms to the other side (right) of the equation.

-12m = -96

Divide both sides of the equation by -12 to isolate and solve for m.

m = 8

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A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple

tester [92]

Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

$n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.$

Therefore, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.$

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

4 0

3 years ago

A bin contains 25 light bulbs, 5 of which are in good condition and will function for at least 30 days, 10 of which are partiall

Ira Lisetskai [31]

Answer:

The probability that it will still be working after one week is $\frac{1}{5}$

Step-by-step explanation:

Given :

Total number of bulbs = 25

Number of bulbs which are good condition and will function for at least 30 days = 5

Number of bulbs which are partially defective and will fail in their second day of use = 10

Number of bulbs which are totally defective and will not light up = 10

To find : What is the probability that it will still be working after one week?

Solution :

First condition is a randomly chosen bulb initially lights,

i.e. Either it is in good condition and partially defective.

Second condition is it will still be working after one week,

i.e. Bulbs which are good condition and will function for at least 30 days

So, favorable outcome is 5

The probability that it will still be working after one week is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

$\text{Probability}=\frac{5}{25}$

$\text{Probability}=\frac{1}{5}$

5 0

3 years ago

Please answer asap. thank you

DochEvi [55]

Answer:

7 Seconds

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

2. Find the volume of the cylinder pictured below. Use 3.14 for pi. Give your answer to the nearest tenth. Show your work to rec

Blababa [14]

Question 2

------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
Volume of the cylinder = πr²h

------------------------------------------------------------------------------------------
Find Radius
------------------------------------------------------------------------------------------
Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft

------------------------------------------------------------------------------------------
Find Volume
------------------------------------------------------------------------------------------
Volume = πr²h
Volume = 3.14 x 5² x 21
Volume = 1648.5 ft³

------------------------------------------------------------------------------------------
Answer: Volume = 1648.5 ft³
------------------------------------------------------------------------------------------

Question 3

------------------------------------------------------------------------------------------
Formula
-----------------------------------------------------------------------------------------
Volume of a sphere = 4/3πr³

------------------------------------------------------------------------------------------
Find Volume
------------------------------------------------------------------------------------------
Volume = 4/3 x 3.14 x 20³
Volume = 33493.3 ft³ (nearest tenth)

------------------------------------------------------------------------------------------
Answer: Volume = 33493.3 ft³
------------------------------------------------------------------------------------------

7 0

3 years ago

Solve for X<br> 6x+60x+150=0

hammer [34]

Answer:

<h2><u><em>x = -2.27272727273</em></u></h2><h2><u><em>in fraction</em></u></h2><h2><u><em>x = -25/11</em></u></h2>

Step-by-step explanation:

Solve for X

6x+60x+150=0

66x = -150

x = -150 : 66

<u><em>in fraction</em></u>

3 0

1 year ago