It costs $9 to travel 60 miles. Find the unit rate (cost per mile). Write your answer as a decimal (do not include labels).

Which statement describes the daily motion of the moon?

vladimir1956 [14]

hi again uwu

Answer: i know that the moon rises in the east, and takes 27 1/3 days to go around the earth....

Step-by-step explanation:

because every time Earth spins around once the moon moves about 13 degrees east along its orbit.Thus, the Earth must rotate an extra 13 degrees more each day for a point on its surface to be roughly under the moon again. since earth takes about 50 minutes to spin 13 degrees the moon rises about 50 minutes later each day and sets about 50 minutes later too.

4 0

3 years ago

Read 2 more answers

The written portion of bens driving test had 40 questions Ben correctly answered 12 more questions than he missed how many quest

lilavasa [31]

We wil name x to the amount of correctly answered questions. Then, we get:

$(x-12)+x=40$ $2x-12=40$ $2x=40+12$ $2x=52$ $x=\frac{52}{2}$ $x=26$

Ben had 26 correct answers, so he missed 40-26= 14.

4 0

1 year ago

The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. Given

Sedbober [7]

Answer:

Absolute minimum = 7

Step-by-step explanation:

We are given graph of f'(x). f(0)=7

We need to find the absolute minimum value of f(x) over interval [-3,0]

First we will see the graph of f'(x) over interval [-3.0]

f'(-3)=3

f'(0)=0

Thus, f'(x) is decreasing

x=0 is critical point of the function f(x) because f'(0)=0

We will get absolute maximum/minimum at x=0. f(x) >0

Hence, f(0) is absolute minimum at x=0 , Absolute minimum = 7

5 0

3 years ago

Read 2 more answers

Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual

Stells [14]

Answer:

(a) P( A ∩ B )=0.5 is not possible.

(b) 0.7

(c) 0.3

(d) 0.3

(e) 0.4

Step-by-step explanation:

Given information: The alphabet A and B represents the following events

A : Individual has a Visa credit card.

B: Individual has a MasterCard.

P(A)= 0.6 and P(B)=0.4.

(a)

We need to check whether P( A ∩ B ) can be 0.5 or not.

$A\cap B\subset A$ and $A\cap B\subset B$

$P(A\cap B)\leq P(A)$ and $P(A\cap B)\leq P(B)$

$P(A\cap B)\leq 0.6$ and $P(A\cap B)\leq 0.4$

From these two inequalities we conclude that

$P(A\cap B)\leq 0.4$

Therefore, P( A ∩ B )=0.5 is not possible.

(b)

Let $P(A\cap B)=0.3$

We need to find the probability that student has one of these two types of cards.

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Substitute the given values.

$P(A\cup B)=0.6+0.4-0.3=0.7$

Therefore the probability that student has one of these two types of cards is 0.7.

(c)

We need to find the probability that the selected student has neither type of card.

$P(A'\cup B')=1-P(A\cup B)$

$P(A'\cup B')=1-0.7=0.3$

Therefore the probability that the selected student has neither type of card is 0.3.

(d)

The event that the select student has a visa card, but not a mastercard is defined as

$A-B$

It can also written as

$A\cap B'$

The probability of this event is

$P(A\cap B')=P(A)-P(A\cap B)$

$P(A\cap B')=0.6-0.3=0.3$

Therefore the probability that the select student has a visa card, but not a mastercard is 0.3.

(e)

We need to find the probability that the selected student has exactly one of the two types of cards.

$P(A\cap B')+P(A\cap B')=P(A\cup B)-P(A\cap B)$

$P(A\cap B')+P(A\cap B')=0.7-0.3$

$P(A\cap B')+P(A\cap B')=0.4$

Therefore the probability that the selected student has exactly one of the two types of cards is 0.4.

8 0

3 years ago

What is the probability it will take exactly 6 rolls of two fair dice to make a 7?

Bad White [126]

I'm pretty sure the answer is D. 0.9196

8 0

3 years ago