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kirill [66]
3 years ago
10

(20 POINTS AND BRAINLIEST!!!) Need help with algebra 1 questions.

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0
The first questions answer is 12
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Find the probability of the following events , when a dice is thrown once:
Fudgin [204]

Answer:

Step-by-step explanation:

s a die is rolled once, therefore there are six possible outcomes, i.e., 1,2,3,4,5,6.

(a) Let A be an event ''getting a prime number''.

Favourable cases for a prime number are 2,3,5,

i.e., n(A)=3

Hence P(A)=n(A)n(S)=36=12

(b) Let A be an event ''getting a number between 3 and 6''.

Favourable cases for events A are 4 or 5.

i.e., n(A)=2

P(A)=n(A)n(S)=26=13

(c) Let A be an event ''a number greater than 4''.

Favourable cases of events A are 5, 6.

i.e., n(A)=2

P(A)=n(A)n(S)=26=13

(d) Let A be the event of getting a number at most 4.

∴ A={1,2,3} ⇒ n(A)=4,n(S)=6

∴ Required probability =n(A)n(S)=42=23

(e) Let A be the event of getting a factor of 6.

∴ A={1,2,36} ⇒ n(A)=4,n(A)=6

∴ Required probability =46=23

(ii) Since, a pair of dice is thrown once, so there are 36 possible outcomes. i.e.,

(a) Let A be an event ''a total 6''. Favourable cases for a total of 6 are (2,4), (4,2), (3,3), (5,1), (1,5).

i.e., n(A)=5

Hence P(A)=n(A)n(S)=536

(b) Let A be an event ''a total of 10n. Favourable cases for total of 10 are (6,4), (4,6), (5,5).

i.e., n(A)=5

P(A)=n(A)n(S)=336=112

(c) Let A be an event ''the same number of the both the dice''. Favourable cases for same number on both dice are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6).

i.e., n(A)=6

P(A)=n(A)n(S)=636=16

(d) Let A be an event ''of getting a total of 9''. Favourable cases for a total of 9 are (3,6), (6,3), (4,5), (5,4).

i.e., n(A)=4

P(A)=n(A)n(S)=436=19

(iii) We have, n(S) = 36

(a) Let A be an event ''a sum less than 7'' i.e., 2,3,4,5,6.

Favourable cases for a sum less than 7 ar

7 0
3 years ago
Read 2 more answers
How do you square a scale factor?<br> DONT COPY OFF GOOGLLE
Alinara [238K]

you have to find the scale factor by its length

how to : scale factor = dimension of the new shape ÷ dimension of the original shape

but if it is scaled then do

scale factor = larger figure dimensions ÷ smaller figure dimensions

3 0
2 years ago
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 64 and 4. What is the length
Brilliant_brown [7]
Here, Ratio of corresponding length would be equal.
Let, Altitude = x
Then, 64 / x = x / 4
x² = 256
x = √256
x = 16

In short, Your Answer would be 16 units

Hope this helps!
8 0
3 years ago
Round 5.599 to the nearest hundredth
pantera1 [17]

Not entirely sure but its like 5.6 or 5.7

5 0
3 years ago
Read 2 more answers
a rectangular computer screen has an area o A square inches. The width of the computer is 7 inches. Which equation rpresents x t
neonofarm [45]

Answer:

x = A/7

Step-by-step explanation:

Given that the screen is rectangular, recall that the area A of a rectangle whose length is L and width is W is given as

A = L * W

Hence if the width is 7 inches and the length is x inches then the area which is A square inches is connected to both sides as

A = x * 7

Divide both sides by 7

x = A/7 inches

6 0
2 years ago
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