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2 years ago

A car traveled 150 miles on 5 gallons of gas. Find the unit rate.

Mathematics

1 answer:

Sauron [17]2 years ago

8 0

Answer:

30m per gallon

Step-by-step explanation:

150m/5g= 30m/g

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Which is the same as 10-2?<br> A) 0.0001 <br> B) 0.001 <br> C) 0.01 <br> D) 100

IceJOKER [234]

The correct answer is C. This is because
10^-2 = 1/10^2 which is 0.01

3 0

3 years ago

A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

3 years ago

PLEASE HELP!! Question with picture is below

Alenkinab [10]

Answer:

It honestly does not matter, but I'd choose the ring because I feel like it is more pleasant to look at.

Step-by-step explanation:

We need to find the area of both shapes to compare:

3/4 of a circle:

A = 6^2pi

= 36pi

36pi(0.75) = 27pi

Ring:

A = 36pi

A2 = 3^2pi = 9pi

36pi-9pi = 27pi

As you can see, the two areas are the same.

Hope this helped! :)

8 0

3 years ago

Read 2 more answers

5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer

castortr0y [4]

Answer:

y = $\frac{5}{3}x-1$

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

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

From the graph attached,

Since, the given line passes through (0, -1) and (3, 4),

Slope 'm' = $\frac{4+1}{3-0}$

m = $\frac{5}{3}$

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = $\frac{5}{3}x-1$

5 0

3 years ago

Zac bought a board game that includes 30 blue game pieces and 40 green game pieces what is the ratio of blue game pieces to gree

miss Akunina [59]

Answer: 3:4

Step-by-step explanation:

If you divide both 30 and 40 by 10 you get 3 and 4

Since it says blue:green the answer is 3:4

4 0

3 years ago