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2 years ago

(b)What is the probability of choosing the letter A at random from the word ALPHABET?

Mathematics

1 answer:

lakkis [162]2 years ago

8 0

Answer:

3b: 1/26

4i: 1/4

4ii: 1/13

4iii 1/13

4iv: 1/13

4v: 3/13

Step-by-step explanation:

3b. there are 26 letters in the alphabet, and there is only 1 S, thus the answer is 1/26

4i: There are 13 cards in each suite, so there is a 13/52 = 1/4 chance.

4ii: There are four aces (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13

4iii: there are four 7's (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13

4iv: there is a king in each of the suites, therefore the answer is 4/52 = 1/13

4v: there are a total of 12 court cards (4 kings, 4 queens, and 4 jacks) thus the answer is 12/52 = 3/13

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Keegan deposits into her savings account at the beginning of the year. The account earns 3% simple interest each year. She has $

fiasKO [112]

Answer:

She deposits $350 into the account at the beginning of the year.

Step-by-step explanation:

Let us assume that Keegan deposits $P into her savings account at the beginning of the year.

The account earns 3% simple interest each year and she has $360.50 in her account at the end of the year.

If Keegan did not make any additional deposits or withdrawals during the year.

So, we can write that $P[1+\frac{3}{100} ]= 360.50$

⇒ P = $350 (Answer)

7 0

2 years ago

Please help I’ll give brainliest if correct

Ira Lisetskai [31]

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

f(x)= 4x³ – 10

g(x) = 3x - 4 /2

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) = [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] / [2]

g(22) = 31

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

4 0

2 years ago

3(x+1)-8=14-2(3x-4)

VLD [36.1K]

Answer:

3x+3-8=(14-2=12)36x-48

Step-by-step explanation:

3x+3-8=36x-48

collect like terms

3x-36x=-48-3-8

-33x=-59

divide both side

-33×\+-33=-59/-33

×=59/-33 or 1.69

7 0

2 years ago

Read 2 more answers

According to a survey by the National Center for Health Statistics, the heights of adult men in the U.S. are normally distribute

fiasKO [112]

Answer:

0.0151 is the probability that adult men are at most 59 inches or at least 74 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 68 inches

Standard Deviation, σ = 2.75 inches

We are given that the distribution of heights of adult men is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(height between 59 and 74)

$P(59 \leq x \leq 74) = P(\displaystyle\frac{59 - 68}{2.75} \leq z \leq \displaystyle\frac{74-68}{2.75}) = P(-3.2727 \leq z \leq 2.1818)\\\\= P(z \leq 2.1818) - P(z < -3.2727)\\= 0.9854 - 0.0005=98.49\%$

$P(x\leq59 \cup x\geq 74)=1 - P(59\leq x \leq 74) \\=1 - 0.9849\\=0.0151\\=1.51\%$

0.0151 is the probability that adult men are at most 59 inches or at least 74 inches.

8 0

2 years ago

1. Find the GCF of 8 and 12.

Harlamova29_29 [7]

Step-by-step explanation:

8-1,2,4,8

12-1,2,3,4,6,12

15-1,3,5,15

20-1,2,4,5,10,20

7 0

2 years ago