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ArbitrLikvidat [17]
11 months ago
9

Complete the rate chart below define how many pages Sarah reads in a certain number of hours? (High School)

Mathematics
1 answer:
Soloha48 [4]11 months ago
8 0

Based on the given table, you can notice that the rate of change of the number of pages read related to the number of hours, is 120 pages each 3 hours.

Then, to determine the number of pages read for 15 hours, consider that after 12 hours Sarah read 480 pages. After 3 more hours, that is, for 15 hours of reading, Sarah read 120 pages more, that is, she read 480+120=600 pages.

Hence, the answer is 600

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Answers should be exact decimals (please do not leave as fractions or unfinished calculations).
aksik [14]

Answer:

P(rolling the die results in a 3 or a 6)=0.3333

P(rolling the die results in not getting a 6)=0.8333

P(rolling the die results in the number being either greater than 2 or less than 5)=0.3333

P(rolling the die results in an even number or a 5)=0.6667

P( rolling the die twice results in a 6 followed by a 4)=0.0278

P(rolling the die three times results in all 6's)=0.0046

Step-by-step explanation:

a)

As the all outcomes are equally likely, so each number has equal probability of occurring.

For six sided die the sample space is {1,2,3,4,5,6} and each outcome has equal probability of 1/6.

1)

P(rolling the die results in a 3 or a 6)

P(rolling the die results in a 3 or a 6)=P(3)+P(6)=1/6+1/6=2/6=1/3

P(rolling the die results in a 3 or a 6)=0.3333

P(rolling the die results in not getting a 6)

P(rolling the die results in not getting a 6)=1-P(6)=1-1/6=5/6

P(rolling the die results in not getting a 6)=0.8333

P(rolling the die results in the number being either greater than 2 or less than 5)

number either greater than 2 or less than 5={3,4}

P(rolling the die results in the number being either greater than 2 or less than 5)=2/6=1/3

P(rolling the die results in the number being either greater than 2 or less than 5)=0.3333

P(rolling the die results in an even number or a 5)

number is an even number or a 5={2,4,5,6}

P(rolling the die results in an even number or a 5)=4/6=2/3

P(rolling the die results in an even number or a 5)=0.6667

P( rolling the die twice results in a 6 followed by a 4)

For six sided die rolled twice the sample space is

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}.

n(S)=6²=36.

rolling the die twice results in a 6 followed by a 4={(6,4)}

P( rolling the die twice results in a 6 followed by a 4)=1/36.

P( rolling the die twice results in a 6 followed by a 4)=0.0278

P(rolling the die three times results in all 6's)

When three die are rolled the number of outcomes=n(S)=6³=216.

rolling the die three times results in all 6's={(6,6,6)}

P(rolling the die three times results in all 6's)=1/216

P(rolling the die three times results in all 6's)=0.0046

Note: All answers are rounded to four decimal places.

8 0
3 years ago
What is the product of 2x + y and 5x – y + 3?
hoa [83]

Answer:  The required product is 10x^2-y^2+3xy+6x+3y.

Step-by-step explanation:  We are to find the product f the following two algebraic expressions:

E_1=2x+y,\\\\E_2=5x-y+3.

To find the product of the above two expressions, we must multiply each term of the first expression with each term of the second expression.

The multiplication is as follows:

M\\\\=E_1 \times E_2\\\\=(2x+y)\times(5x-y+3)\\\\=10x^2-2xy+6x+5xy-y^2+3y\\\\=10x^2-y^2+3xy+6x+3y.

Thus, the required product is 10x^2-y^2+3xy+6x+3y.

7 0
2 years ago
Read 2 more answers
Please help me with this!! (20 points)
alexandr402 [8]

Answer:

BC, BD

Step-by-step explanation

If right please brainly

5 0
3 years ago
Use the the triangle.
KATRIN_1 [288]
For a 45 45 90 triangle if the legs are x length then the hyptonuse is x√2

a.
7=x
so hyptonuse=7√2 in

b.
sin(45°)=(√2)/2

c.
not sure what you need SAS for
but, area=1/2 times base times height
base=height=7
area=1/2 times 7 times 7=24.5 square inches

d. not sure, same as above?
7 0
2 years ago
Pls help solve a and b
Varvara68 [4.7K]
A is 9 for the proportion part but I can’t see the rest of b so I can’t answer that for you
6 0
3 years ago
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