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artcher
13 days ago
15

How many sets of three integers between 1 and 20 are possible if no two consecutive integers are to be in a set?

Mathematics
1 answer:
tester [8.8K]13 days ago
8 0
<span>I believe the answer looks like this </span>(20-3)!(20-4)!(20-5)!...(20-19)!. Additionally, you can apply this formula (r-k+1 C r) to obtain a result of 18C3.
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The employees at retail store earn $8.75 per hour. They can earn 1.5 times their hourly wage for every hour they work over 40 in
AnnZ [9099]
At a wage of 8.75 per hour, total earnings for 40 hours would be 350. Calculate overtime at 8.75 times 1.5 which equals 13.13. Then, multiply 13.13 by 12 to get $158. So the total is 350 + 158 = 508, likely around 480 after taxes for the US.
3 0
11 days ago
Find the value of x in the isosceles triangle shown below.
Leona [9271]

Solution:

x=8

Detailed explanation:

This isosceles triangle consists of two right triangles with sides equal to 8,\sqrt{80}, and y

Considering we possess two sides of a right triangle, determining the third side can be achieved using the Pythagorean Theorem

(\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4

Because it is an isosceles triangle, these two right triangles are the same, thus x=2y

Hence, x=2(4)=8

8 0
10 days ago
Read 2 more answers
David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P
babunello [8412]

Answer:

The charge for the first three hours is $4 per hour.

Subsequently, the rate decreases to $2 per hour until the sixth hour.

Between the sixth and tenth hours, the cost is reduced further to $1 per hour.

The maximum charge for renting the bike is $30.

Step-by-step explanation:

The incline on the graph indicates the hourly rate for the bike rental.

During the initial three hours, the rental fee rises by $4 for each hour.

From the third to the sixth hour, the graph’s slope indicates a rate of $2 per hour for the rental.

The charge drops to $1 per hour from the sixth to the tenth hour.

After the tenth hour, the price, P, remains constant. The highest fee for the bike rental is $30.

6 0
24 days ago
In triangle $abc$, $m\angle a = 90^\circ$, $m\angle b = 75^\circ$, and $bc = \sqrt {3}$ units. what is the area of triangle $abc
Inessa [9000]
Given the specified angles, one is 90 degrees, indicating that the triangle is a right triangle. With provided angles and one side representing the hypotenuse (the longest side), the area is determined using the formula: Area = 1/2 * base * height. Let's compute the height and base:

From sin 75, we derive height = 1.67.
And from cos 75, we obtain base = 0.45.

Calculating area gives us Area = (0.45 * 1.67) / 2, resulting in 0.37 square units.

Thus, the triangle's area is approximately 0.37 square units.
3 0
19 days ago
A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th
babunello [8412]

Answer:

We have the following details:

Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:

z_{\frac{0.01}{2}}=2.576

The margin of error is mentioned in the question as:

E=0.05

Since we lack information about the previous proportion, we need to assume \hat{p} = 0.5.

Therefore, the required sample size is:

n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)

  =0.5(1-0.5) \left( \frac{2.576}{0.05} \right)

  =0.25 \times 51.52^2

  =663.6 \approx 664

Thus, it requires 664 sample observations.    

4 0
21 day ago
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