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fredd
2 months ago
13

If each coded item in a catalog begins with 3 distinct letters followed by 4 distinct nonzero digits, find the probability of ran

domly selecting one of these coded items with the first letter a vowel and the last digit even.
Mathematics
1 answer:
lawyer [12.5K]2 months ago
3 0
The result is 10/117. We have three distinct letters and four unique non-zero digits. For letters, we have 26 options from A to Z. For digits, there are 9 choices from 1 to 9. As all selections must be distinct, we find the total number of codes as 26 × 25 × 24 × 9 × 8 × 7 × 6. For the specified code, we focus on the combinations with 5 vowels and 4 even digits, leading to a calculation of 5 × 25 × 24 × 8 × 7 × 6 × 4. Probability can thus be expressed as the ratio of these outcomes, yielding: 5 × 25 × 24 × 8 × 7 × 6 × 4 divided by 26 × 25 × 24 × 9 × 8 × 7 × 6.
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Lines a and b are parallel. What is the measure of ∠5 if ∠4 measures 104°?
babunello [11817]

Response:

I hope the image provided solves your query

4 0
2 months ago
Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFr
Inessa [12570]

Answer:

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

Step-by-step explanation:

Given the quadratic equation:

x^2 = -11x + 4

To solve it, we follow these steps:

1. Rearrange the terms to one side of the equation:

x^2+11x- 4=0

2. Utilize the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac} }{2a}.

In this case, we can identify that:

a=1\\b=11\\c=-4

Then, substituting these values into the Quadratic formula gives us the following solutions:

x=\frac{-11\±\sqrt{11^2-4(1)(-4)} }{2(1)}

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

3 0
1 month ago
Read 2 more answers
Annabelle and Navene are multiplying (4275)(4372). Annabelle's Work Navene's Work (4275)(4372) = 42 + 375 + 2 = 4577 (4275)(4372
AnnZ [12381]

Neither individual's solution is accurate.

Navene incorrectly added numbers together, resulting in "4577"

Annabelle also made an error; although multiplication was involved, the numbers were split incorrectly, giving her "46710."

The correct outcome should be 18,690,300

7 1
1 month ago
Read 3 more answers
Rajan had 6000 RS in his bank account on a particular day a week later he deposited 150p RS and next day he had withdraw 1/3rd o
babunello [11817]

Answer: After the withdrawal, Rajan's bank balance will be

6150 RS - 2050 RS = 4100 RS

Step-by-step explanation:

Initially, Rajan had 6000 RS in his bank account about a week ago. This indicates that the initial balance he possessed is 6000 RS.

One week later, he credited 150p RS to his account.

Thus, the current total in his account is

= 6000 RS + 150p RS = 6150 RS.

The following day, he withdrew one-third of his total balance. Therefore, the amount withdrawn is

1/3 × 6150 = 6150/3 = 2050 RS

After the withdrawal, his remaining balance in the bank will be the new total minus the amount withdrawn.

His remaining balance in the bank account post-withdrawal will be

6150 RS - 2050 RS = 4100 RS

4 0
2 months ago
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