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3 years ago

What is the unit rate of the data if two points are (0,0) and (1,4)

1 answer:

6 0

ANSWER

$4$

EXPLANATION

The unit rate of the data represented by the straight line going through the points (0,0) and (1,4) is the slope of the this straight line.

We use the slope formula to determine the unit rate.

$m = \frac{y_2-y_1}{x_2-x_1}$

This implies that,

$m = \frac{4 - 0}{1 - 0}$

$m = \frac{4}{1} = 4$

Hence the unit rate is 4

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Shona spins a spinner with three equal-sized spaces—red, green, and yellow—and then rolls a six-sided die numbered from 1 to 6.

telo118 [61]

<h2>Answer with explanation:</h2>

<u>Sample size--</u>

It is the collections of all the possible outcomes of an event.

(A)

It is given that:

Shona spins a spinner with three equal-sized spaces—red, green, and yellow and then rolls a six-sided die numbered from 1 to 6.

This means that the possible outcomes are given as follows:

(Red,1) (Green,1) (Yellow,1)

(Red,2) (Green,2) (Yellow,2)

(Red,3) (Green,3) (Yellow,3)

(Red,4) (Green,4) (Yellow,4)

(Red,5) (Green,5) (Yellow,5)

(Red,6) (Green,6) (Yellow,6)

This means that the total number of outcomes are: 18

Hence, the sample size for this compound event is: 18

(B)

If the spinner has four colored spaces.

Let the fourth color be: Blue

Then the possible outcomes are given by:

(Red,1) (Green,1) (Yellow,1) (Blue,1)

(Red,2) (Green,2) (Yellow,2) (Blue,2)

(Red,3) (Green,3) (Yellow,3) (Blue,3)

(Red,4) (Green,4) (Yellow,4) (Blue,4)

(Red,5) (Green,5) (Yellow,5) (Blue,5)

(Red,6) (Green,6) (Yellow,6) (Blue,6)

Hence, the total number of outcomes are: 24

The sample size of this compound event would be 24.

8 0

3 years ago

Sketch the graph of each equation.<br>5. y=2x-5

VikaD [51]

Answer:

what is the number of x or y?

6 0

2 years ago

Which congruence theorem can be used to prove △BDA ≅ △DBC? Triangles B D A and D B C share side D B. Angles C B D and A D B are

Tomtit [17]

Answer:

A. Hypotenuse-leg (HL) congruence.

HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL

Step-by-step explanation:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.

hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.

BDA and DBC share a common side DB.

Using Pythagorean theorem we will get,

$CD^{2}=DB^{2}+BC^{2}...(1) \\\\AB^{2}=DB^{2}+AD^{2}...(2)$