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3 years ago

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Mathematics

1 answer:

kati45 [8]3 years ago

5 0

You can split the figure into a top and bottom box.
Top box has the measurements of 3 by 18 by 20. When you multiply those together you get the volume of that box- 1080.
Bottom box has the measurements of 15 by 8 by 8. Multiplied together for the volume is 960.
Adding the top and bottom box together (1080+960) you get a total of 2040 yards cubed.

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five people, each working 8 hours a day, can assemble 400 toys in a five day work week. what is the average number of toys assem

vladimir1956 [14]

The question asks for the rate of toys per hour.

So we shall divide the total toys assembled by the total hours.

Its a five day week.

The number of hours allotted per day are 8.

So total allotted during the week are 8 × 5 = 40 hours.

Number of toys made during the week are 400.

Hence the number of toys assembled per hour per person

= number of toys / number of hours

= 400 / 40

= 10 toys per hour per person.

The average number of toys assembled per hour per person is 10.

8 0

3 years ago

Read 2 more answers

For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f

pishuonlain [190]

Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

$P(x) = nCx*p^{x} *(1-p)^{n-x}$

nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

P = P(4) + P(5)

Where P(4) is:

$P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}$

P(4)=0.2592

And P(5) is:

$P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}$

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

5 0

4 years ago

Two polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of the corresponding side lengths is 1/

Kay [80]

Answer:

20 yards

Step-by-step explanation:

Given that:

Two Given polygons are similar :

Ratio of corresponding sides =. 1/6

Perimeter of larger polygon = 120 yards

Perimeter of smaller = p

Since they are similar, and yhe ratio of their sides Given, we use the relation :

(Smaller perimeter / larger perimeter) = (smaller side / larger side)

(p / 120) = (1 /6)

Cross multiply :

6p = 120

p = 120/6

p = 20 yards

4 0

3 years ago

13 gallons of water are used to completely fill 3 fish tanks. If each tank holds the same amount of water, how many gallons will

Pepsi [2]

Answer:

4 1/3

Step-by-step explanation:

12/3=4

1/3+4=4 1/3

7 0

3 years ago

PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED

Andrews [41]

To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

$x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61$

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

$d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00$

From the calculations above, the values of the triangle are

diagonal = 7
base = 3.61
height = 6

Learn more on pythagorean theorem here;

brainly.com/question/231802

#SPJ1

7 0

2 years ago