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inessss [21]
2 years ago
7

Find the ratio a : b , if it is given that ... 5a +3b =6b

Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

3:5

Step-by-step explanation:

5a + 3b = 6b

5a=6b-3b

5a=3b

a/b= 3/5

a:b=3:5

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Can someone help me this is due soon
Hatshy [7]

Answer:

30

Step-by-step explanation:

3 + 8  + 7 + 2 + 6 + 4 = 30

<em>good luck, i hope this helps :)</em>

3 0
2 years ago
Read 2 more answers
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
In 4 ​hours, an experienced cook prepares enough pies to supply a local​ restaurant's daily order. Another cook prepares the sam
vodka [1.7K]

Answer:

9\frac{1}{3}hours

Step-by-step explanation:

Let third cook take x hours to prepare the same number of  pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies=\frac{y}{x}

One experienced cook takes time to prepare enough pies  =4 hours

In 1 hour , cook prepare pies=\frac{y}{4}

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies=\frac{y}{7}

All three cooks take time to  prepare the same number of pies=2 hours

In 1 hour,all three cooks  prepare  pies=\frac{y}{2}

According to question

\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}

y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}

\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}

\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}

\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}

x=\frac{28}{3}=9\frac{1}{3} hours

Hence, the third cook takes time to prepare the same number of pies alone=9\frac{1}{3}hours

8 0
3 years ago
A sandbox has a perimeter of 21 1/2 feet. If the length is 5 1/4 feet, what is the area of the sand box?
LiRa [457]
The perimeter of a rectangle is twice the sum of length and width, so the sum of length and width is half the perimeter, 10 3/4 ft.

The width will be the difference between this and the length, hence 5 1/2 ft.

The area is the product of length and width.
  A = length×width
  A = (5.25 ft)×(5.5 ft) = 28.875 ft²

The area of the sandbox is 28 7/8 ft².
4 0
3 years ago
Please help me get the right answer
spin [16.1K]

Answer:

A

Step-by-step explanation:

When multiplying numbers with exponents, the exponents add together.  This means that the correct answer is letter A.

6 0
3 years ago
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