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4 years ago

Create a number sequence that has a first term equal to -10 and has a recursive rule of subtract 2

Mathematics

1 answer:

vodomira [7]4 years ago

6 0

Answer:

The number sequence is -10, -12, -14, -16, .....

Step-by-step explanation:

The sequence has - 10 as the first term.

So, f(0) = - 10 and the recursive rule of the function is of subtract 2.

Hence, f(n + 1) = f(n) - 2 ...... (1)

Now, putting n = 1 in equation (1) we get, f(1) = f(0) - 2 = - 10 - 2 = - 12

Again, putting n = 2, we get, f(2) = f(1) - 2 = - 14

Now, putting n = 3, we get, f(3) = f(2) - 2 = - 16 and so on.

Therefore, the number sequence is -10, -12, -14, -16, ..... (Answer)

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A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

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4 years ago

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3 years ago

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n200080 [17]

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3 years ago

The lengths of the sides of a rectangle are 18cm by 3m. Express the area of the rectangle in square decametres.

lubasha [3.4K]

For this case we have that by definition, the area of a rectangle is given by:

$A = b * h$

Where:

b: It is the base of the rectangle

h: It is the height of the rectangle

By definition we have to:

1 meter equals 0.1 decameters

1 centimeter equals 0.001 decameters

According to the data of the statement we have:

$b = 18 \ cm * \frac {0.001} {1} * \frac {decametres.} {cm} = 0.018 \ decameters.\\h = 3m * \frac {0.1} {1} * \frac {decameters} {m} = 0.3 \ decameters.$

Thus, the area of the rectangle is:

$A = 0.018 * 0.3 = 0.0054 \ decameters ^ 2$

Answer:

$0.0054 \ decameters ^ 2$

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4 years ago