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Yakvenalex [24]
3 years ago
12

Divide 1.20m in the ratio 2:3:4

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
x = 1,2 : 9 =  \frac{2}{15} \\2x:3x:4x\\ \frac{4}{15} : \frac{2}5} : \frac{8}{15}
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In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase
Veronika [31]

Answer:

1/5 or 20%

Step-by-step explanation:

This problem can be easily solved by finding the probability of her picking one matching pair to leave in the suitcase (which results in pulling out exactly two matching pairs)

For the first sock, it does not matter what sock she picks.

For the second sock, there is only 1 out of the 5 socks left that would match the first one picked. Therefore, the probability that she pulls out exactly two matching pairs is 1/5 or 20%

8 0
3 years ago
Guest ages at a ski mountain resort typically have a right-skewed distribution. Assume the standard deviation (σ) of age is 14.5
ValentinkaMS [17]

Answer: (30.49 years, 42.31 years)

Step-by-step explanation:

The formula to find the confidence interval is given by :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}.

, where \overline{x} = Sample mean

z* = Critical value.

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

\overline{x}=36.4

\sigma=14.5

n= 40

We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)

A 99 percent confidence interval for µ, the true mean age of guests will be :

36.4\pm (2.576)\dfrac{14.5}{\sqrt{40}}\\\\ 36.4\pm (2.576)2.29265130362\\\\=36.4\pm5.90586975813\\\\\approx36.4\pm5.91\\\\=(36.4-5.91,\ 36.4+5.91)\\\\=(30.49,\ 42.31)

∴ a 99 percent confidence interval for µ, the true mean age of guests  = (30.49 years, 42.31 years)

7 0
3 years ago
In a study, researchers found that for every 3 people who preferred band A toothpaste 1 person preferred band B toothpaste. Whic
oksian1 [2.3K]
C) 3:1

For every 3 people who prefer band A toothpaste 1 person preferred band B toothpaste:

3 to 1=3:1.
8 0
3 years ago
Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10 minutes sooner than Ella finished it. How many minut
Blababa [14]

Answer:

56.7

Step-by-step explanation:

Just Add all numbers

8 0
2 years ago
(-7x∧5 + 14 - 2x) + (10x∧4 + 7x + 5x∧5)
Maslowich
-7x^5 + 5x^5 +10x^4 -2x + 7x + 14= -2x^5 +10x^4 +5x + 14

Your answer is -2x^5 +10x^4 +5x + 14
7 0
3 years ago
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