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kompoz [17]
3 years ago
6

Write the first five terms of each sequence. A geometric sequence with a common ratio of 3 and a first term of 1.​

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0
1, 4, 7, 10, 13 are the first 5 terms
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What is the probability that a) A card chosen from an ordinary deck of 52 cards is an ace? b) A randomly selected integer chosen
Gelneren [198K]

Answer:

a) 0.076

b) 0.5

c) 0.084

d) 0.25

e) 0.00024

f) 0.156

Step-by-step explanation:

a) In an ordinary deck there are 4 aces. The probability of getting an ace is given by:

P=\frac{n}{N}

n: options for an ace = 4

N: total number of cards = 52

P=\frac{4}{52}=0.076

The probability is 7.6%

b) On the first 100 positive integers, there are 50 odd integer numbers. Then you have:

P=\frac{50}{100}=0.5

The probability of getting an odd number is 50%

c) From a total of 365 day in the year, May has 31 day. Then you have:

P=\frac{31}{365}=0.084

The probability is 8.4%

d) In this case you have two events. To get an odd number with the sum of the number of two dices you need and odd number in one dice and a pair number in the other dice.

The probability is the product of the occurrence of both events. The probability for an odd number is 1/2 and for a pair number is 1/2.

P=P_{odd}P_{pair}=(\frac{1}{2})(\frac{1}{2})=\frac{1}{4}=0.25

The probability is 25%

e) To obtain Head 6 times in a row, the probability is:

P=\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}=0.00024

Probability of 0.024%

f) To get Head 4 times from 5 flights, you first calculate the probability for 1 head in five flips:

P=(\frac{1}{2})^5=\frac{1}{32}

There are 5 forms of getting 4 Heads for 5 flips, then you have:

P=5(\frac{1}{32})=\frac{5}{32}=0.156

Te probability is 15.6%

8 0
3 years ago
What is 19,067 divided by 43
OlgaM077 [116]

Answer:

443.418604651

Step-by-step explanation:

Thank you for the points!

3 0
3 years ago
12. Find the differential coefficient of (x2+7) (x2+10)​
USPshnik [31]

Answer:

We \:  need \:  to \:  find  \\ the  \: differential \\  coefficient \:  of \:  the \\  function  \: x2logxsinx  \\ with \:  respect  \: to \:  x. \\Let  \: y=x \: 2logxsinx \\ We  \: need \\  to \:  find \:  dxdy. \\Consider   \\ y=x \: 2logxsinx \\ dxdy=dxd(x2)logxsinx+x2dxd(logxsinx) \\  =2x(logxsinx)+x2[sinxdxd(logx)+logxdxd(sinx)] \\ =2x(logxsinx)+x2[xsinx+logxcosx] \\ dxdy=2x(logxsinx)+xsinx+x2logxcosx

3 0
2 years ago
Water boils at different temperatures based on its elevation above sea level. Ann and Rob are in
Misha Larkins [42]

Answer:

Step-by-step explanation:

B. The medians are the same.

3 0
3 years ago
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Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry. How many square yards
Soloha48 [4]

Answer:

number 2: 290

Step-by-step explanation:

triangle: 11 x 20 = 220 ÷ 2 = 110

rectangle: 9 x 20 = 180

180 + 110 = 290

4 0
3 years ago
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