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Vlada [557]
3 years ago
11

Gift box in the shape of a triangular prism has a volume of 140 cubic inches that a base height of 10 inches, and a height of 4

inches. What is the length of the base?
I got 7 in as the base
Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Step-by-step explanation:

The area of a triangle is 1/2×width×length. Volume of a triangular prism is 1/2×width×length×height.

Fill in and we get 1/2×10×length×4=140. length=(140×2)/(10×4)=280/40=7. So you're right.

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A box of chocolates contains milk chocolates and dark chocolates in the ratio 2:3. The box contains 50 chocolates. How many milk
DochEvi [55]

Answer:

The box contains 20 milk chocolates.

Step-by-step explanation:

Given that the chocolate box has milk chocolates and dark chocolates in a ratio of 2 milk chocolates for every 3 dark, and the total number of chocolates in the box is 50 units, to determine how many milk chocolates are in the box. it is necessary to perform the following calculation:

50 / (2 + 3)

50/5

10

Milk chocolates: 2 x 10 = 20

Dark chocolates: 3 x 10 = 30

Therefore, the box contains 20 milk chocolates.

3 0
3 years ago
The balance in a savings account at the end of each year is shown below. The year is denoted by n, and the account balance is
vovangra [49]

Answer:

A(n) = 100(1.1)^n

Step-by-step explanation:

Given that :

Account balance = A(n)

Compound interest paid = 10%

We need to obtain the initial amount deposited, that is A(n), when n = 0

In year, n = 1

Account balance, A(n) = $110

Let initial deposit = P

Hence,

Compound interest relation should be ;

A(n) = P(1 + r)^n

Plugging in our values

110 = P(1 + 0.1)^1

110 / P = 1.1^1

110/P = 1.1

110 = 1.1P

P = 110 / 1.1

P = 100

Hence, we can define the amount paid inn n years by substuting the value of P into the compound interest formula :

A(n) = 100(1 + 0.1)^n

A(n) = 100(1.1)^n

5 0
3 years ago
I NEED HELP ASAP PLEASEEE !!!!!
Volgvan

Answer:

3

Step-by-step explanation:

Using Pythagorean Theorem, 3² + 4² = 5²

8 0
3 years ago
Can you guys help me​
natita [175]

Answer:

would be A

Step-by-step explanation:

because bisecting means both sides equal the same. so 4x-12 times two is 8x-24. Hope this helps

4 0
4 years ago
Read 2 more answers
Values for the labor force participation rate of women​ (LFPR) are published by the U.S. Bureau of Labor Statistics. A researche
Anna [14]

Answer:

(A) For this research we made use of the paired t test.

(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as against the alternate Hypothesis Hₐ.

From the output data we have, since the P value is 0.024 and  is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.

Note:Kindly find an attached copy of the complete question below.

Step-by-step explanation:

Solution

Recall that:

The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women​ (LFPR).

We are more interested in if there was a difference between female participation 1968 and​ 1972, a rapid change in women.

so we will check values for 19 randomly selected cities for 1968 and​ 1972,

Now,

(a) Which of this test is most appropriate for this data

The test which will be more suitable for these data will be paired to test t.

Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.

In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.

(b)By using the test you selected, explain your conclusion

Now, to test the data paired t test, we have already the null Hypothesis  H₀: In this case there  is no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and​ 1972.

However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.

In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.

Note: kindly find an attached copy of the complete question to this solution

below.

4 0
3 years ago
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