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Alina [70]
3 years ago
11

Use a Benchmark fractions to compare 7/10 and 5/12 explain answer

Mathematics
1 answer:
Nady [450]3 years ago
3 0
Alright The Right Ans Is 30/60-42/60=12/60
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Find the circumference and the area of a circle
Setler [38]

Step-by-step explanation:

Circumference

C = 3.14x3

C = 9.42cm

Area

A = 3.14xr²

A = 3.14x25

A = 78.5ft

5 0
3 years ago
1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in
scZoUnD [109]

Answer:

Step-by-step explanation:

a) \int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

Substitute limits to get

= \frac{1}{3}

Thus converges.

b) 10th partial sum =

\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

=\frac{-1}{3} (0.001-1)\\= 0.333

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

3 0
3 years ago
[IMAGE] please help me with 1, 2, and 3
LUCKY_DIMON [66]

Answer:

1. 5n + 10d = 90

2. (18,0)

3. (0,9)

7 0
3 years ago
Multiply the polynomials.<br>(5x2 + 2x + 8)(7x-6)​
Ilia_Sergeevich [38]

Answer:

35x3 - 16x2 + 44x - 48

Step-by-step explanation:

35x3 + 14x2 + 56x - 30x2 - 12x - 48

35x3 - 16x2 + 44x - 48

6 0
3 years ago
A coin is tossed 8 times. What is the probability of getting all heads? Express your answer as a simplified fraction or a decima
kumpel [21]

Answer:

The probability of getting all heads is \frac{1}{256}.

Step-by-step explanation:

For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that:

A coin is tossed 8 times. This means that n = 8

In each coin toss, heads or tails are equally as likely. So p = \frac{1}{2}

What is the probability of getting all heads?

This is P(X = 8)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

[tex]P(X = 8) = C_{8,8}*(\frac{1}{2})^{8}*(1 - \frac{1}{2})^{0} = \frac{1}{256}

The probability of getting all heads is \frac{1}{256}.

7 0
3 years ago
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