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2 years ago

Find the measure of each angle

Mathematics

1 answer:

Nesterboy [21]2 years ago

6 0

Let's solve this problem step-by-step.

To begin with, it is important to establish the following formula:

Angle sum of all triangles = 180°

Using this formula as well as the values of two out of three of the angles given, we can identify the value of the unknown angle as displayed as the following:

Let the unknown angle = x

Make (x) the subject as displayed as the following:

Angle sum of all triangles = 180°
180 = x + 63 + 59
x = 180 - 63 - 59
x = 58°

Therefore, the measure of each of the angles is as follows:

63°
59°
58°

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Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi

Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 30, p = 0.2$

We want P(X = 12). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064$

P(X = 12) = 0.0064.

6 0

2 years ago

More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use tech

Phoenix [80]

The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

$\rm y = a(b^x)$

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

Learn more about the line of best fit here:

brainly.com/question/14279419

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6 0

2 years ago

The football team has a total of 350 jerseys there are 154 medium-sized jerseys. What percent of the jerseys are medium-sized j

Lena [83]

Answer:

44% of the jerseys are medium sized.

Step-by-step explanation:

Total jerseys football team has = 350

Medium-sized jerseys = 154

We need to find what percent of the jerseys are medium-sized jerseys.

The formula used will be: $Percent\:of\:medium\:size\:jerseys=\frac{Medium\:size\:jerseys}{Total\:jersey}\times 100$

Putting values and finding percentage

$Percent\:of\:medium\:size\:jerseys=\frac{Medium\:size\:jerseys}{Total\:jersey}\times 100$

$Percent\:of\:medium\:size\:jerseys=\frac{154}{350}\times 100\\Percent\:of\:medium\:size\:jerseys=0.44\times 100\\Percent\:of\:medium\:size\:jerseys=44\%$

So, 44% of the jerseys are medium sized.

6 0

2 years ago

What transformations can be used to show two figures are congruent?

Zinaida [17]

Translation rotation reflection

7 0

3 years ago

Hey there! posted picture of question help please

kakasveta [241]

For this case we have the following function:
f (x) = (1/3) * (4 ^ x)
We must evaluate the function for x = 2
We have then:
f (2) = (1/3) * (4 ^ 2)
Rewriting:
f (2) = (1/3) * (16)
f (2) = 16/3
Answer:
The function evaluated at x = 2 is:
f (2) = 16/3
option A

7 0

3 years ago