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sergey [27]
3 years ago
5

a shelf holds 3 novels, 2 biographies, and 1 history book. two students in turn choose a book at radom. what is the probability

that the students choose both biographies?
Mathematics
1 answer:
shepuryov [24]3 years ago
3 0
1/2 choose biographies
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Please do 3 & 4 and show work
Shalnov [3]

Answer:

3. A=B=70°; C=D=110°

4. A=90°; C=48°

Step-by-step explanation:

Same-side angles of a trapezoid add to 180°.

___

3. (2x) +(x+15) = 180

3x + 15 = 180 . . . . simplify

x +5 = 60 . . . . . . . divide by 3

x = 55

A=B=(x+15)° = (55+15)° = 70°

C=D=2x° = 2·55° = 110°

__

4. You are given the values of one of the angles on each side, so the other can be found by subtraction:

A=180°-D = 90°

C = 180° -132° = 48°

8 0
3 years ago
In answering a question on a multiple-choice test, a student either knows the correct answer or guesses it. Let 0.7 be the proba
Dahasolnce [82]

Answer:

The probability is 0.9211

Step-by-step explanation:

Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.

So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:

P(K/C)=P(K∩C)/P(C)

Where P(C) = P(K∩C) + P(G∩C)

Then, the probability P(K∩C) that the student know the answer and it is correct is:

P(K∩C) = 0.7

On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:

P(G∩C) = 0.3*0.2 = 0.06

Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.

Therefore, The probability P(C) that the answer is correct is:

P(C) = 0.7 + 0.06 = 0.76

Finally, P(K/C) is:

P(K/C) = 0.7/0.76 = 0.9211

7 0
3 years ago
HELP PLEASE <br><br>must show work <br><br>I have the answer just need to show work​
Kazeer [188]

Answer:

Step-by-step explanation:

To solve these equations involving variables and exponents we need to follow these steps.

1) We need to find out the factor that is common in the equation.

2) After taking common, solve the equation. We can add or subtract only those values that have same bases.

1) 8+6x^4

here we can see, both numbers are divisible by 2, so taking 2 common

=2(8/2 + 6x^4/2)\\= 2(4 + 3x^4)

It cannot be further simplified because both number donot have same bases.

3.4n^9 + 12 n

We can take 4n common

=4n(4n^9/4n + 12 n/4n)\\=4n(n^8 + 3)

5. -12a -3

Here -3 cam be taken common

= -3(-12a/-3 -3/-3)

= -3(4a +1)

7. 12n^5 + 16n^3

here the smallest power of n is n^3 so, we can take n^3 common and both coefficients are divisible by 4 so taking 4n^3 common

4n^3( 3n^2 + 4)

9. 5k^2 - 40k+10

Here we cannot take k common, as k is not a multiple of 10. For taking common it should be divisible by each value in the equation. But each value s divisible by 5 so, taking 5 common

=5(k^2 - 8k + 2)

11.-60 + 60n^2 +50n^3

Here we cannot take n common, as n is not a multiple of -60. For taking common it should be divisible by each value in the equation. But each value s divisible by 10 so, taking 10 common

=10(-6 + 6n^2 +5n^3)

13. -36n^3 -12n-28

Here we cannot take n common, as n is not a multiple of 28. For taking common it should be divisible by each value in the equation. But each value s divisible by -4 so, taking -4 common

=-4(9n^3 + 3n +7)

15. 63n^3+81n+18

Here we cannot take n common, as n is not a multiple of 18. For taking common it should be divisible by each value in the equation. But each value s divisible by 9 so, taking 9 common

=9(7n^3 + 9n + 2)

17. -24a^2b^2 + 36ab-60a

=6a(-4ab^2+6b-10)

3 0
3 years ago
Drag each sequence to show whether it is a linear function, an exponential function, or
Sergeu [11.5K]

Answer:

Step-by-step explanation:

From the picture attached,

Option A

From the given table,

Ratio of the 2nd value and 1st value = \frac{8}{4}=2

Ratio of 3rd value and 2nd value = \frac{16}{8}=2

There is a common ratio of 2.

Therefore, the given table will represent an exponential function.

Option B

Given recursive formula of the sequence is,

A_1=3

A_n=5.A_{n-1}

From this recursive formula sequence will be,

3, 15, 75, 375,.......

Therefore, it's an exponential function.

Option C

F_n=3n+17

Given function is in the form of a linear function (y = mx + b),

Therefore, it's a linear function.

Option D

From the given table,

Difference between 2nd value to the 1st value = 8 - 4 = 4

Difference between 3rd value to the 2nd value = 12 - 8 = 4

Therefore, there is a common difference of 4 in each successive term to the previous term.

Hence, the given table represents a linear function.

7 0
3 years ago
Read 2 more answers
How do I calculate 5 percent of 60 using fractions
irinina [24]
60*5%=60*5/100=300/100=3
So the answer is 3
5 0
3 years ago
Read 2 more answers
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