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3 years ago

35%+16/45 Answer with complete solution.

Mathematics

1 answer:

Marina86 [1]3 years ago

8 0

Answer:

See Explanation

Step-by-step explanation:

Look into this site called

math-papa It is a really helpful calculator with a capability of basically anything math related (see screen shot)

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What is equivalent to 7(3x-2)+4(x+5)

Sladkaya [172]

Distribute 7 to 3x and -2, and 4 to x and 5

7(3x - 2) = 21x - 14

4(x + 5) = 4x + 20

Combine like terms

21x + 4x = 25x

-14 + 20 = 6

25x + 6 is your answer

hope this helps

3 0

3 years ago

Read 2 more answers

-30=5(x+1) x=? Solve for X

stellarik [79]

Answer:

=-7

Step-by-step explanation:

-30=5(x+1)

-30=5x+5

-35=5x

= -7

7 0

3 years ago

Suppose you toss a fair coin 10 times, let X denote the number of heads. (a) What is the probability that X=5? (b) What is the p

zubka84 [21]

Answer: The required answers are

(a) 0.25, (b) 0.62, (c) 6.

Step-by-step explanation: Given that we toss a fair coin 10 times and X denote the number of heads.

We are to find

(a) the probability that X=5

(b) the probability that X greater or equal than 5

(c) the minimum value of a such that P(X ≤ a) > 0.8.

We know that the probability of getting r heads out of n tosses in a toss of coin is given by the formula of binomial distribution as follows :

$P(X=r)=^nC_r\left(\dfrac{1}{2}\right)^r\left(\dfrac{1}{2}\right)^{n-r}.$

(a) The probability of getting 5 heads is given by

$P(X=5)\\\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}\\\\\\=\dfrac{10!}{5!(10-5)!}\dfrac{1}{2^{10}}\\\\\\=0.24609\\\\\sim0.25.$

(b) The probability of getting 5 or more than 5 heads is

$P(X\geq 5)\\\\=P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}+^{10}C_6\left(\dfrac{1}{2}\right)^6\left(\dfrac{1}{2}\right)^{10-6}+^{10}C_7\left(\dfrac{1}{2}\right)^7\left(\dfrac{1}{2}\right)^{10-7}+^{10}C_8\left(\dfrac{1}{2}\right)^8\left(\dfrac{1}{2}\right)^{10-8}+^{10}C_9\left(\dfrac{1}{2}\right)^9\left(\dfrac{1}{2}\right)^{10-9}+^{10}C_{10}\left(\dfrac{1}{2}\right)^{10}\left(\dfrac{1}{2}\right)^{10-10}\\\\\\=0.24609+0.20507+0.11718+0.04394+0.0097+0.00097\\\\=0.62295\\\\\sim 0.62.$

(c) Proceeding as in parts (a) and (b), we see that

if a = 10, then

$P(X\leq 0)=0.00097,\\\\P(X\leq 1)=0.01067,\\\\P(X\leq 2)=0.05461,\\\\P(X\leq 3)=0.17179,\\\\P(X\leq 4)=0.37686,\\\\P(X\leq 5)=0.62295,\\\\P(X\leq 6)=0.82802.$

Therefore, the minimum value of a is 6.

Hence, all the questions are answered.

3 0

3 years ago

110 decreased by 70%

Bess [88]

110x0.7= 77
110-77= 33
so 33 is your answer

7 0

3 years ago

A certain bacteria culture grows at a rate if 18% everday. There are currently 420 bacteria. How many bacteria will there be on

Anettt [7]

Answer:

1579

Step-by-step explanation:

There is a particular formula you must use and it leads to this 420(1 + 0.18)^8=1579

6 0

3 years ago