Jacob has 16 toy cars. 3/8 of the cars are red and the rest are blue. How many cars are blue.

Define the concept of an angle and show how it should be indicated in Math (notation). Mention at least two ways.

Vedmedyk [2.9K]

An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.

Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”

where the vertex of the angle is at the point B as it is in the middle.

Angles can also be of different types like:

An Acute Angle which means an angle is less than 90 degrees.

A Right Angle which means an angle which is exactly 90 degrees.

An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.

A Straight Angle which is an angle that is exactly 180 degrees.

And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.

Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.

Learn more about angles here:

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8 0

2 years ago

4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is

Lemur [1.5K]

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}$

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.

6 0

3 years ago

The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.

mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ $c+d=270$ ...equation (i)