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3 years ago

Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of

Mathematics

2 answers:

VikaD [51]3 years ago

8 0

Answer:

the answer is A

Step-by-step explanation:

mr Goodwill [35]3 years ago

5 0

Answer:

The answer is The Eastern-Tailed Blue butterfly is more common than the others.

Step-by-step explanation:

I got it right on my test.

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Convert 23/99 into a decimal

Sergio [31]

Answer:

0.23

Step-by-step explanation:

6 0

3 years ago

A randomly chosen subject arrives for a study of exercise and fitness and begins walking on a treadmill at a brisk pace. which o

Flauer [41]

A discrete variable is a type of variable which contains a finite number of values. It usually takes its values from the set of whole numbers.

From the random variable described, the random variable that is descrete is "You measure the maximum heart rate in beats per minute".

This is because, heart rate cannot be partitioned it only takes counting number values. You either have 1 beat per minutes, 2 or 3 and so on beats per minute. But you cannot have 2.5 or 3.8 and so on beats per minute.
So heart rate cannot take decimal or fractional values and hence, it is a discrete random variable.

4 0

3 years ago

Solve for the solution to following x^2+x=12

timama [110]

Solving for x =
x= 3, -4

4 0

4 years ago

If logb2=x and logb3=y, evaluate the following in terms of x and y:

Alja [10]

$log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x$

Solution:

Given that,

$log_b2 = x\\\\log_b3 = y --------(i)$

Use the following log rules

Rule 1: $log_b(ac) = log_ba + log_bc$

Rule 2: $log_b\frac{a}{c} = log_ba - log_bc$

Rule 3: $log_ba^c = clog_ba$

$a) log_b{162}$

Break 162 down to primes:

$162 = 2^1 \times 3^4$

$log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y$

Thus we get,

$log_b162 = x + 4y$

$b) log_b 324$

Break 324 down to primes:

$324 = 2^2 \times 3^4$

$log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y$

$c) log_b\frac{8}{9}$

By rule 2

$log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} = 3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} = 3x - 2y$

$d) \frac{log_b27}{log_b16}$

By rule 2

$\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} = 3y - 4x$

Thus the given are evaluated in terms of x and y

3 0

3 years ago

Which of the following transformations always preserves the dimensions of a figure

Rina8888 [55]

Answer:

In Reflection, rotation and translation, dimensions of the figure are always preserved

Step-by-step explanation:

8 0

3 years ago