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tigry1 [53]
2 years ago
6

A large high school offers AP Statistics and AP Calculus Among the seniors in this school 65% take AP Statistics, 45% take AP Ca

lculus and 30% take both If a señor is randomly selected, what the probability that they are in AP Statistics or AP Calculus but not both
Mathematics
1 answer:
Igoryamba2 years ago
4 0

Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

P(AP Calculus) = 45%

P(AP statistics n AP Calculus) = 30%

Probability of AP statistics or AP Calculus but not both :

Probability of event A or B :

P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

= 0.8

= 80%

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Mrs. Martini is 6 years more than 3 times as old as Tony. Eight years ago, she
zalisa [80]

Mrs Martini age is 42 years and Tony age is 12 years

Step-by-step explanation:

The given is:

  • Mrs. Martini is 6 years more than 3 times as old as Tony
  • Eight years ago, she  was 2 years less than 9 times as old as he was then

Assume that Tony is x years old now

∵ Mrs. Martini is 6 years more than 3 times as old as Tony

∵ Tony is x years old

- Multiply the age of Tony by 3 and add 6 to the product

∴ The age of Mrs Martini = 3 x + 6

8 years ago

- Subtract 8 from the age of each one

Tony age = (x - 8)

Mrs Martini age = (3 x + 6) - 8 = 3 x + 6 - 8 = 3 x - 2

∵ Eight years ago, Mrs Martini was 2 years less than 9 times as old

  as Tony was then

- Multiply Tony age by 9 and subtract 2 from the product

∵ Tony age from 8 years ago = x - 8

∵ Mrs Martini age from 8 years ago = 3 x - 2

∴ 9(x - 8) - 2 = 3 x - 2

- Simplify the left hand side

∴ 9 x - 72 - 2 = 3 x - 2

- Add like terms

∴ 9 x - 74 = 3 x - 2

- Subtract 3 x from both sides

∴ 6 x - 74 = -2

- Add 74 to both sides

∴ 6 x = 72

- Divide both sides by 6

∴ x = 12

∵ x represents the age of Tony

∴ Tony is 12 years old

∴ 3 x + 6 is the age of Mrs Martini

- Substitute x by 12

∵ 3(12) + 6 = 36 + 6 = 42

∴ Mrs Martini is 42 years old

Mrs Martini age is 42 years and Tony age is 12 years

Learn more:

You can learn more about word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0
2 years ago
Which expressions are equal to 0 when x=-1? Check all that apply.
Reptile [31]

Answer:

4(x+1)/(4x+5)

4(x+1)/(5-4x)​

4(x-(-1))/(4x+5)

Step-by-step explanation:

The numerators in the fractions must equal to 0, or else the expressions won’t have the result of 0.

4(x+1)

4(-1+1)

4(0)

= 0

4(x-(-1))

4(-1-(-1))

4(-1+1)

4(0)

= 0

The expressions with the numerator as 0 have the result of 0.

7 0
3 years ago
I need help with this pls
shtirl [24]

Answer:5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the area of a triangle with vertices of A(3, 3), B(5, 4), and C(0, 2).
Butoxors [25]
A(x_A;\ y_A);\ B(x_B;\ y_B);\ C(x_C;\ y_C)\\\\A_\Delta=\frac{1}{2}| \left|\begin{array}{ccc}x_B-x_A&y_B-y_A\\x_C-x_A&y_C-y_A\end{array}\right||\\=================================\\A(3;\ 3);\ B(5;\ 4);\ C(0;\ 2)\\\\A_\Delta=\frac{1}{2}| \left|\begin{array}{ccc}5-3&4-3\\0-3&2-3=\end{array}\right||=\frac{1}{2}|\left|\begin{array}{ccc}2&1\\-3&-1\end{array}\right||\\\\\\=\frac{1}{2}|2(-1)-1(-3)|=\frac{1}{2}|-2+3|=\frac{1}{2}|1|=\frac{1}{2}\ (u^2)
7 0
3 years ago
What is 93+(68+7) property
allochka39001 [22]
The associative property states a + (b + c) = (a + b) + c

So your answer is associative property.

4 0
3 years ago
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