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den301095 [7]
3 years ago
14

How many odd integers are there between 101 and 999 have distinct digits?

Mathematics
1 answer:
guapka [62]3 years ago
8 0
Every number will have only 3 digits. In the ones place, there are 5 choices. For every choice of digit made in the ones place, there are 8 possible choices for the hundreds place (you can choose from 1-9, omitting whatever is used in the ones place), and there are 8 possible choices for the tens place (you can choose from 0-9, omitting whatever has already been used elsewhere).

So there are 7\cdot8\cdot8=320 such numbers.
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A council of three people is to be chosen from a group of 4 lawyers, one artist, and 3 teachers
padilas [110]

Answer: 0.2857

<u>Step-by-step explanation:</u>

At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.

\text{One teacher}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{5\ others}{7\ people}\times \dfrac{4\ others}{6\ people}=\dfrac{5}{28}=0.1786\\\\\\\text{Two teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{5\ others}{6\ people}=\dfrac{5}{56}=0.0893\\\\\\\text{Three teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{1\ teacher}{6\ people}=\dfrac{1}{56}=0.0179

One teacher + Two teachers + Three teachers = 0.2857

4 0
3 years ago
I need help with this question!
34kurt
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.


1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
8 0
3 years ago
Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char
Airida [17]
Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
13.5g + 540 = 1512

Subtract 540.
13.5g = 972

Divide by 13.5
g = \frac{972}{13.5} = 72

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!
8 0
3 years ago
Read 2 more answers
Mario walked at a rate of 2/3 a mile every 10 minutes. How long would it take him to walk 1 mile?
Vesna [10]

Answer:

16 minutes

Step-by-step explanation:

3 0
3 years ago
Andy has a collection of movie dvds. in andys collection 3/5 of the dvds are action 1/4 of the dvds are comedy. andy said that 4
Lerok [7]
If 3/5 are action and 1/4 are comedy then:

(3/5)+(1/4) are action or comedy

To add/subtract fractions you need a common denominator...

(3/5)*(4/4)+(1/4)(5/5)

(12/20)+(5/20)

17/20

So 17/20 (85%) of his collection are action or comedy not 4/9...


4 0
3 years ago
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