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Brut [27]
3 years ago
7

Ratios, Fractions, Decimals, and Percents

Mathematics
2 answers:
Zarrin [17]3 years ago
6 0

Answer:

words:6 tenths or 1 and 5 tenths

Ratio:3:4 or 7:8

Fraction=1/3 or 19/20

Decimal:0.25

Percent:80%

max2010maxim [7]3 years ago
4 0

Answer:

3/4 75% 0.75

0.25 25% 1/4

1/3 331/3% 0.333...

80% 4/5 0.8

19/20 95% 0.95

words:6 tenths or 1 and 5 tenths

Ratio:3:4 or 7:8

Fraction=1/3 or 19/20

Decimal:0.25

Percent:80%

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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
The measure of an interior angle of a regular octagon is how many degrees greater than the measure of an interior angle of a reg
harina [27]

Answer:

Step-by-step explanation:

Sum of interior angle of any polygon = 180* (n- 2 )

Here, n= number of sides

Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°

In regular octagon, all the angles are congruent,

So, measure of an interior angle of regular octagon = 1080/8 =  135°

Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°

In regular hexagon, all the angles are congruent,

So, measure of an interior angle of regular hexagon = 720/6 =  120°

The measure of an interior angle of a regular octagon is  greater than the measure of an interior angle of a regular hexagon by 15°

3 0
3 years ago
Пожалуйста помогите с решением
zubka84 [21]

Answer:

( x, y) =

65 \ \frac{15}{11}

this is your answer

3 0
2 years ago
Triangle abc is translated 5 units to the right and 4 units up to create triangle A’B’C .
eimsori [14]

Answer:

This cannot be solved unless I have the coordinate for triangle "abc"

Step-by-step explanation:

Once I have the coordinates for triangle "abc", I can solve to find out where triangle "A'B'C" is

8 0
2 years ago
Find the value of the expression m − 4.6 for m = 7.
stich3 [128]

Answer:

2.4

Step-by-step explanation:

If you replace m with 7, the expression is now 7-4.6.

7-4.6=2.4

The value of the expression is 2.4.

-hope it helps

3 0
2 years ago
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