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ladessa [460]
3 years ago
14

LEARN

Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

Q₂ = 78

Step-by-step explanation:

Q₂ is the median of the data set.

The median is the middle value of the data arranged in ascending order.

If there is no exact middle value then it is the average of the values either side of the middle.

48,  64,  66,  70,  72,  84,  86,  90,  92,  94 ← in ascending order

                                 ↑ middle

median Q₂ = \frac{72+84}{2} = \frac{156}{2} = 78

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svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

  • a^x \times a^y = a^{x+y}
  • In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : a^x = a^y  ⇒  x = y  [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

4 \times 8^{2x+1} = 32^{x+2}

Lets express it in terms of 2.

=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}

=> 2^2 \times 2^{6x+3} = 2^{5x+10}

=> 2^{2 + 6x+3} = 2^{5x+10}

=> 2^{6x+5} = 2^{5x+10}

Here the bases on both the sides are equal. Hence ,

=> 6x + 5 = 5x + 10

=> 6x - 5x = 10 - 5

=> x = 5

6 0
2 years ago
It took Jimena 89 minutes to run a 15-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
Novosadov [1.4K]
The answer is <span>9.55 minutes
</span>
1. Turn 15 km into miles:
    1 km = 0.621 mile
    15 km = 15 * 0.621 mile = 9.315 miles
So, she ran 9.315 miles for 89 minutes

2. Calculate <span>how many minutes it took Jimena to run 1 mile during the race:
    S</span>he ran 9.315 miles for 89 minutes.
    She ran 1 mile for x minutes.
    9.315 mi : 89 min = 1 mi : x
    x = 89 min * 1 mi / 9.315 mi
    x = 9.55 min
3 0
3 years ago
3x + 5 and x=2, im having trouble understanding how im suppose to do this
velikii [3]
3x + 5 (first plug in 2 for x )

3(2) + 5 =
6 + 5 = 11

Hope this helps . Give brainliest
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2 years ago
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Evaluation of square root 169 = 13, so 10 + 13 = 23
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