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artcher [175]
2 years ago
14

Please answer quickly. 1. ⅔^2 2. ⅗^2 3. ¼^4 4. ⅓^5

Mathematics
2 answers:
gladu [14]2 years ago
7 0

Answer:

Step-by-step explanation:

1.4/9=0.44

2.9/25=0.36

3.1/256=0.003

4. 1/243=0.004

amid [387]2 years ago
7 0

Answer:

1.4/9

2. 9/25

3. 1/256

4. 1/243

Step-by-step explanation:

1. (2/3)^2= (2/3)*(2/3)=4/9

2/3=0.6667 raised to the power 2 is 4 over 9

2. (3/5)^2=(3/5)*(3/5)=9/25

3/5=0.6 raised to power 2 is 9 over 25

3. (1/4)^4=(1/4)*(1/4)*(1/4)*(1/4)=1/256

1/4=0.25 raised to the power 4 is 1 over 256

4. (1/3)^5=(1/3)*(1/3)*(1/3)*(1/3)*(1/3)=1/243

1/3=0.333 raised to the power 5 is 1 over 243

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The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation si
Helga [31]

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2

Then we have

\rm P(x > 16.6) = P(z > 2) = 0.02275  \ or  \ 2.275 \%

More about the normal distribution link is given below.

brainly.com/question/12421652

6 0
2 years ago
How does the Counting Principle help when determining the sample space for a probability distribution?
andreyandreev [35.5K]

Answer:

This is also known as the Counting rule.

The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.

For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.

7 0
3 years ago
The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,
N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

Ratio = 3 : 10 : 7

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

S_1 = \frac{3}{3 + 10 + 7} *180

S_1 = \frac{3 *180}{20}

S_1 = \frac{540}{20}

S_1 = 27

The side with ratio 10 is:

S_2 = \frac{10}{3 + 10 + 7} *180

S_2 = \frac{10 *180}{20}

S_2 = \frac{1800}{20}

S_2 = 90

Lastly:

The side with 7 as its ratio

S_3 = \frac{7}{3 + 10 + 7} *180

S_3 = \frac{7 *180}{20}

S_3 = \frac{1260}{20}

S_3 = 63

Hence, the angles are: 27, 90 and 63

5 0
3 years ago
3/4 times 2 1/2 times 4/5
amm1812
The answer to your problem is 6
5 0
3 years ago
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A store salesperson is paid 3% of his sales as a commission. He made sales of $2500. How much was his commission?​
PolarNik [594]

1) Write 3% as 3/100

2) Since, finding the fraction of a number is same as multiplying the fraction with the number, we have:

\frac{3}{100} of 2500 = \frac{3}{100} × 2500

Therefore, the answer is 75

If you are using a calculator, simply enter 3÷100×2500 which will give you 75 as the answer.

Commission = $75

7 0
2 years ago
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