Answer:
There are 48 cups in 3 gallons!
Hope this helped! :)
What is the area of the trapezoid?
Answer:
Area of trapezoid is:
162 cm²
Step-by-step explanation:
Area(A) of trapezoid is given by:
Here, we are given Height=9 cm
One parallel side=6 cm
Other parallel side=(12+6+12) cm
= 30 cm
Sum of parallel side=(6+30) cm
= 36 cm
Area=
= 162 cm²
Hence, Area of trapezoid is:
162 cm²
Answer:
2.700 × 10-7
Step-by-step explanation:
Answer: 2.7*10^-4
step by step explanation:
1. Make the number a new number between 1 and 10
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Move the decimal point to make 0.00027 a new number between 1 and 10. Because our original number is less than one, we move the decimal point to the right. Drop any zeroes in front of the number. Keep track of how many times we move the decimal point.
0.00027 -> 2.7
Our new number is 2.7. We moved the decimal point 4 times.
2. Define the power of 10
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Because our original number was less than one, the exponent defining the power of 10 is negative. Remember, we moved the decimal point 4 times, so the exponent is negative 4
10^(-4)
3. Final result
2.7*10^(-4)
B) Cluster
C) Random
D) Systematic
E) Stratified
Answer:
Stratified sampling
Step-by-step explanation:
In the question, students are selected from subgroups of Sophomore, Junior, and Senior classes.
We are told that 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.
This means that the sample numbers of 49, 34 and 48 students were selected in proportion to the subgroup sizes of 496, 348, and 481 students respectively.
Thus, due to the fact that subgroups were selected & that sample number of students were also selected in proportion to their respective subgroup sizes, this is therefore a stratified sampling.
The type of sampling used in this scenario is stratified sampling. The type of sampling in this case is E) Stratified sampling.
The type of sampling used in this scenario is stratified sampling. Stratified sampling is a method where the population is divided into different groups or strata, and then a sample is randomly selected from each stratum. In this case, the sophomore, junior, and senior classes are the different strata, and the sample sizes are proportional to the size of each stratum.
To further explain, let's consider the sophomore class with 496 students. If we are selecting a sample size of 49 from this class, it means that approximately 10% of the students (49/496 = 0.098) will be selected. Similarly, for the junior class with 348 students, approximately 10% (34/348 = 0.098) of the students will be selected. The same applies to the senior class with 481 students and a sample size of 48 students.
In stratified sampling, the goal is to ensure that the sample represents the characteristics of each stratum in proportion to their size in the population. By sampling from each of the classes, we can obtain a representation of the entire student population.
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B) x < 5
C) x > 9
D) x < 9
Answer:
answer is b
Step-by-step explanation:
explanation in the pic!
the nearest dollar, would be in the account after 8 years?
Abigail can find out how much money she will have after 8 years continuously compounding interest by using the formula A = P*e^(rt), where A is the final amount, P is the principal ($29,000), r is the interest rate (0.021), and t is time in years (8). Once the values are inserted into the formula, it can be solved to find the total amount.
The problem that Abigail is facing can be solved using the continuous compound interest formula which is A = P*e^(rt). Here, A stands for the amount of money in the account after t years, P is the principal amount (the initial amount of money), r represents the annual interest rate (expressed as a decimal), and t is time in years. In this context:
Plug in these values into the formula:
A = 29000 * e^(0.021 * 8)
When calculated this would give the total amount to the nearest dollar.
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