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AleksAgata [21]
4 years ago
14

You randomly choose a letter from a hat with the letters A through J. Without replacing the first letter, you choose the second

letter. Find the probability of the events.
Choosing an H and then a D

Choosing a Vowel and then an F

Choosing a consonant and then an E or an I

Choosing a vowel and then a consonant
Mathematics
1 answer:
Over [174]4 years ago
7 0

To calculate the probability of each event occurring you will need to know there are 7 consonants and 3 vowels. You will use this to find the probability of each set of events occurring and multiply them together.


a. 1/10 x 1/9 = 1/90 chance

b. 3/10 x 1/9 = 1/30 chance

c. 7/10 x 2/9 = 7/45 chance

d. 3/10 x 7/9 = 7/30 chance

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A quadrilateral has all sides congruent, opposite sides are parallel, and opposite angles are congruent.
VashaNatasha [74]

Answer:

B: A square

Step-by-step explanation:

Let's use the process of elimination:

We know that each shape here has opposite parallel sides so there's not much we can do about that one.

All sides congruent automatically gets rid of A.) Rectangle and C.) Parallelogram because they do not <em>always</em> have congruent sides

Opposite angles are congruent gets rid of D.) Rhombus. Although a rhombus can have all congruent angles, it isn't <em>always</em> congruent the way a square is. The definition of a rhombus is a quadrilateral with <em>equal side lengths</em>. Not angles.

So the only shape that meets each criteria all the time is a square.

4 0
3 years ago
The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2
Olegator [25]

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) = \dfrac{5x}{x^2+9}.

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

5 0
3 years ago
The fraction 3/8 means ​
Scrat [10]

Answer:

The fraction 3/8 as a decimal is 0.375.

The fraction 3/8 as a percent is 37.5%

8 0
4 years ago
Paco needs more then 3/8 yard of twine to build a model ship. How much twin could he buy?
Hatshy [7]
Well first you need to know how much it is. Then you can do this problem
7 0
4 years ago
What is 3 1/4 as a fraction
Alchen [17]

Answer:

13 / 4

Step-by-step explanation:

3 0
3 years ago
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