We have been given that Grant spent $2.50, $4.00, $4.25, and $3.25 on breakfast in one week. The next week he spent $6 more in total for the 4 breakfasts than the week before. We are asked to find increase in the mean of second week.
Since Grant spent $6 more than last week, we will divide 6 by 4 to get how much mean of second week breakfast expenditures increased with respect to first week expenditures.
Therefore, mean of second week breakfast expenditure will be $1.5 more than first week.
Answer:
The probability that they purchased a green or a gray sweater is 
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
- P(A)= the probability that they purchased a green sweater
- P(B)= the probability that they purchased a gray sweater
- Mutually exclusive events
You know:
- 8 purchased green sweaters
- 4 purchased gray sweaters
- number of possible cases= 12 + 8 + 4+ 7= 21
So:
Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= 
P(A∪B)=
<u><em>The probability that they purchased a green or a gray sweater is </em></u><u><em></em></u>
The first letter has 5 choices, second letter then has 4 choices, the third then has 3 choices. The first number has 10 choices, second number has 10 choices, third number has 10 choices.
So to find the total possibilities take 5*4*3*10*10*10 = 60,000
Marcia dissolved 1 kg of salt in 3 litres of water
Bobby dissolved 2 pounds of salt in 7 pints of water
We know that
1 litre = 2.11 pints
We also know that
1 pound = 0.4535 kg
Now if we take the case of Bobby, and convert the pound to
kg then
1 pound = 0.4535 kg
2 pounds = (0.4535 * 2) kg
<span> =
0.907 kg</span>
<span>
= 0.91
kg</span>
Bobby dissolved the salt in 7 pints of water
We know
2.11 pints = 1 litre
Then
7 pints = (7/2.11) litre
<span> = 3.32
litres</span>
So we now see that Bobby has dissolved 0.91 kg of salt in
3.32 litres of water
Marcia dissolved 1 kg of salt in 3 litres of water.
So Marcia has made a more concentrated solution since she
has dissolved more salt in less amount of water whereas Bobby has dissolved
less amount of salt in more water.
Answer:
71.60ft
Step-by-step explanation:
Hello,
The question above requires us to use find the relationship between the angle and the length of the slide.
To solve this question, it is pertinent to get the diagram correctly so as to get the answer right.
See attached document for better illustration.
From the diagram,
We have the value of the opposite side or the triangle, and the angle of depression.
Using SOHCAHTOA,
Tanθ = opposite / adjacent
θ = 31.66°
Opposite = 46ft
Adjacent = x
Tanθ = opp / adj
Tan31.66 = 46 / x
X = 46 / tan31.66
X = 46 / 0.6166
X = 71.60ft
The height of the slide is 71.60ft
