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3 years ago

Find the median for the data sets below

2 answers:

6 0

So basically you line the numbers up lowest to largest and find the middle number:

Set A-
23, 23, 24, 67, 98, 101
So for this one 24 and 67 is in the middle... therefore you would do (24 + 67)/2 = 45.5
Median: 45.5

Set B-
21, 44, 45, 76, 89
Median: 45

Dvinal [7]3 years ago

3 0

Set A: 45.5

Set B: 45

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How much water should we add to 5 gallons of 18% acid solution to dilute it to a concentration of 10%?

KIM [24]

4 gallons of water is needed to dilute to a concentration of 10%.

<u>Step-by-step explanation:</u>

It is given that,

The 5 gallons of water contains 18% of acid solution.

Now, we are asked to find the gallons of water needed to dilute it to a concentration of 10% acid solution.

We obtain the equation by stating that the amount of acid 10% in the water must dilute up to 18%.

For this, x amount of water should be added.

Therefore, the equation is framed as,

⇒ 0.1 (x+5) = 5 (0.18)

⇒ 0.1x + 0.5 = 0.9

⇒ 0.1x = 0.9 - 0.5

⇒ x = 0.4 / 0.1

⇒ x = 4

∴ 4 gallons of water is needed to dilute to a concentration of 10%.

5 0

3 years ago

How many different strings of length 12 containing exactly five a's can be chosen over the following alphabets? (a) The alphabet

N76 [4]

Answer:

Part (A) The required ways are 792.

Part (B) The required ways are 101376.

Step-by-step explanation:

Consider the provided information.

Part (A) The alphabet {a, b}

The length of strings is 12 that containing exactly five a's.

The number of ways are: $\frac{12!}{5!7!}$

After filling "a" we have now 7 places.

For 7 places we have "a" and "b" alphabet but we already select a's so now the remaining place have to fill by "b" only.

Thus, the required ways are: $\frac{12!}{5!7!}\times 1=792$

Part (B) The alphabet {a, b, c}

We have selected five a's now we have now 7 places.

For 7 places we have "b" and "c".

Thus, there are 2 choices for each 7 place that is $2^7$

Therefore the total number of ways are: $792\times 2^7=101376$

Thus, the required ways are 101376.

7 0

3 years ago

write a division expression that represents the weight of the steel structure divided by the total weight of the bridge's materi

mestny [16]

Answer:

1,000/600

400+200=600

Step-by-step explanation:

8 0

3 years ago

Sarah's Heavenly Cupcakes

fomenos

What is your question? Could you further explain what you are asking?

8 0

3 years ago

Distribute 3x (3x - 3)

Yuliya22 [10]

Answer: 9x^2 - 9x
the ^2 means squared btw.
you would get this answer by multiplying 3x by each of the terms inside the parentheses.
so 3x • 3x = 9x^2 and 3x • -3 = -9x

7 0

2 years ago