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nadezda [96]
3 years ago
10

Three-fifths of the sum of 9 and f

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:  \frac{3}{5} f+\frac{27}{5}

Step-by-step explanation:

Three-fifths of the sum of 9 and f is \frac{3}{5} (9+f)=\frac{27}{5} +\frac{3}{5} f=\frac{3}{5} f+\frac{27}{5}

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Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(26,4.2)  

Where \mu=26 and \sigma=4.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

z=\frac{42.6-26}{4.2}=3.95

So then the corresponding z scale would be:

z

7 0
3 years ago
Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the
Neko [114]

Answer:

  • 10.5cm,20.8cm,23.3cm — yes
  • 6cm, 22.9cm,20.1cm — no

Step-by-step explanation:

If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.

1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle

__

2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle

7 0
3 years ago
You deposit $2000 each year into an account earning 5% interest compounded annually. How much will you have in the account in 30
Zarrin [17]

Answer:

3000

Step-by-step explanation:

8 0
2 years ago
What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160
o-na [289]
You find the area of a triangle by using 1/2*b*h where b is the base and h is the height. since we already know the area is 20 and the height is for you plus them in so the problem would be 20= 1/2 (b) (4) then you multiply what you know together to get 20= 2b and then isolate the b by dividing both sides by two so the base should be 10 m
8 0
3 years ago
Read 2 more answers
An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.
Nitella [24]

The cost per unit of the auto shop function is the slope of the function

87 represents the slope and the cost per tire purchased

The function is given as:

\mathbf{C(t) = 87t + 32}

A linear function is represented as:

\mathbf{C(t) = mt + b}

Where:

m represents the slope or the unit rate.

So, by comparison:

\mathbf{m = 87}

This means that 87 represents the slope and the cost per tire purchased

Read more about slopes at:

brainly.com/question/18576224

6 0
3 years ago
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