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vlada-n [284]
3 years ago
15

The sum of a number and 13 is the same as the difference of 27 and the number.

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

The numbers are 20 and 7 I'm preeettty sure.

Step-by-step explanation:

Because 20+7 is 27

And 20-7 is 13

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How can I do ratios? I’ve been having a lot of trouble with this in my math class, and really need some help.
Katarina [22]

If you have a fraction, take one number and put a different number on top or underneath, for example if you have 2 cats and 3 dogs, the ratio from cats to dogs would be 2:3 but if you did 2 cats to the total number of animals, you would add 2 and 3 and get 5, so the ratio would be 2:5.

6 0
3 years ago
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In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the
earnstyle [38]

Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = video components need repair within 1 year

<em>B</em> = electronic components need repair within 1 year

<em>C</em> = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events <em>A</em>, <em>B</em> and <em>C</em> are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

7 0
3 years ago
Solve the equation and state the value of x<br>w - 2 = -8- 5w​
Wewaii [24]

Answer:

x=-1

Step-by-step explanation:

w-2=-8-5w

-2=-8-6w

+8 +8

6=-6w

divide 6 in both side

x=-1

hope this help.

4 0
3 years ago
joe has a cylindrical glass jar that he wants to fill completly with apple juice. This jar has a diameter of 4 inches and a heig
KonstantinChe [14]

Answer:

  V = πr²h

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

where V is the volume, r is the radius, and h is the height of the cylinder.

_____

<em>Comment on the formula</em>

This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...

  V = Bh

where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...

  B = πr²

Filling this into the volume formula gives ...

  V = πr²h . . . . . as above

8 0
3 years ago
The sum of three consecutive odd numbers is 69. What are the three numbers?
n200080 [17]

Answer:

21, 23, 25

Step-by-step explanation:

Ok, so this one may seem a little tricky, so I'll try to explain it as best as I can. :)

So because they are consecutive odd numbers, that means they are odd numbers that are one after the other. This means each number is 2 apart from the next. So by using this, we know that there is a difference of 6 between the highest and lowest number. Now let's try and make an equation:

3o + 6 = 69

Now in order to get O by itself we have to subtract 6 from both sides:

3o = 63

Now we just have to divide by three on both sides:

o = 21

So now, we know that the lowest number is 21, but we have to add 2 to get 23, and then another 2 to get 25.

Hope this helps :)

5 0
3 years ago
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