Given, a parking lot charges $3 for first hour and $2 per hour after that.
So for t hours, the parking lot charges $3 for the first hour and after first hour there is 
hours left.
So for hours it will charge $2 per hour.
The charges for hours = $
.
Total charges for t hours for one car = $
Now for the second car, it will charge 75% of the first car.
So the charges for second car
=$[ 
]
=$
There are 3 cars. That parking charges for the third car is also 75% of the first car.
So for third car the parking charges are same as for the second car.
Total parking charges for 3 cars
= $
= $
We have got the required answer here.
The correct option is option C.
The total number of people that will be selected is 14.
<u>Step-by-step explanation:</u>
For stratified random sampling at first we need to divide the population into some strata and then choose sample from each. For the given problem the response category is
Sample size of strata = (Size of entire sample by populaion size) multiply strata size
= (20 by 300) multiply 210
after solving we get, 14
therefore, 14 people will be selected.
One merit is that here since we divide the whole data into stratas and then select samples from that so it can be used as a guard against unwanted samples and also gives more accurate sample measure. Here since we required samples from the population who gave yes and no opinion so it is better to use stratified sampling method otherwise if we use simple random sampling then we may choose those samples who gave no opinion. But since we don't use that method so we can avoid this.
1. first you have to find what they ran so what I did was take 28.5 km and divided by 3 because the ratio is 5:2 and 3 is the number difference. 28.5 km divided by 3 = 9.5 so every ratio is going into a 9.5 km part. For example, if the ratio was 2:1 the km ratio would be 19 km: 9.5 km. so I to 9.5 x 5=47.5 km and 9.5*2=19 km
so the 5:2 ratio is equal to 47.5 km : 19 km
The combined running distance would be 66.5 km
2. If the recommended ratio 5:2:3 and Kate wants to have 22 grams of protein(middle) that means her carbohydrates and fat would have to go up 2 x11 =22 so you would do the 5:2:3 ratio and times all three by 11. so the new ratio is 55:22:33. the 55 are your carbohydrates, the 22 are your proteins, and the 33 are your fats. The new ratio is 55:22:33
If Kate plans to eat 22g of protein she woulg have to have 55g of carbohydrates with it. Also she will have to have 33g of fats.
Hope this helps!
Tell me if these are correct.
Answer:
The sequence of transformation used to map ABC onto A"B"C" is reflection, then rotation, then translation.
Step-by-step explanation:
To map ABC onto A"B"C" steps are:
step 1: Reflection of ABC
step 2: rotation of A'BC by some angle to obtain A'B'C'.
step 3: translation of A'B'C' by some units to the right to obtain the given transformation A"B"C".
Answer:
Probability that at most 50 seals were observed during a randomly chosen survey is 0.0516.
Step-by-step explanation:
We are given that Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey.
The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals.
Let X = <u><em>numbers of seals observed</em></u>
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean numbers of seals = 73
= standard deviation = 14.1
Now, the probability that at most 50 seals were observed during a randomly chosen survey is given by = P(X 
50 seals)
P(X 50) = P( 
) = P(Z -1.63) = 1 - P(Z < 1.63)
= 1 - 0.94845 = <u>0.0516</u>
The above probability is calculated by looking at the value of x = 1.63 in the z table which has an area of 0.94845.
