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4 years ago

Solve for r. -2r = 18 P=

Mathematics

1 answer:

riadik2000 [5.3K]4 years ago

8 0

-2r= 18

Divide by -2 to get positive r. Divide by -2 for 18.

-2r/-2= 18/-2

Cross out -2 and -2 , then divide by 2.

r= -9

Answer: r= -9

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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

Arlecino [84]

Answer:

P(4) =p(x=4) = 0.205078

Step-by-step explanation:

Explanation:-

The probability of x successes in the n independent trials of the experiment.

Given n=10, p=0.5,

By using Binomial distribution

$P(X =x) = n_{C_{x} } p^{x} q^{n-x}$

Given the p = 0.5

q=1-p =1-0.5=0.5

$P(X =4) = 10_{C_{4} } (0.5)^{4} (0.5)^{10-4}$

we will use formula

$n_{C_{r} } = \frac{n!}{(n-r)!r!}$

$10_{C_{4} } = \frac{10!}{(10-4)!4!}=\frac{10X9X8X7X6!}{6!4!} =\frac{10X9X8X7}{4X3X2X1} =210$

$P(X =4) = 210 (0.5)^{4} (0.5)^{10-4}$

$P(X =4) = 210 (0.5)^{4} (0.5)^{6}$

on calculation, we get

P(X=4) = 0.205078

3 0

3 years ago

How many grams is 3.3 mole of Mg(OH)2 ?

Brrunno [24]

Answer: m = 3.3 mol·58.326 mol = 192 g

Step-by-step explanation: molar mass of substance is

M= (24.31+ 2·1.008 + 2·16) g/mol = 58.326 g/ mol.

Amount of substance n = m/M and mass m = n·M

7 0

3 years ago

5/6+1/4 these are fractions

Papessa [141]

5/6 + 1/4

multiply the denominators and numerators in order for equation to have the same denominators to help solve.

20/24 + 6/24

= 26/24

= 13/12

Hope you find this helpful!
Brainliest and a like is much appreciated!

3 0

3 years ago

Kato must write 60 percent of a 20-page report by tomorrow. Kato wants to determine the number of pages that he needs to write b

AlekseyPX

Answer:

Kato must write 12 pages of the report

Step-by-step explanation:

We have given that total number of pages in report = 20

It is given that Kato must write 60 % of the that report tomorrow

We have to find the number of pages which kato write tomorrow

So number of pages which kato write tomorrow $=\frac{20\times 60}{100}=12$

So kato must write write 12 pages of the report tomorrow because 60 % of 20 is 12

4 0

4 years ago

Read 2 more answers

If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?

nataly862011 [7]

Answer:

The probability of getting exactly 2 of the cards are spades out of 6 cards will be 0.315

Step-by-step explanation:

6 cards are drawn at random from a standard deck of 52 cards.

The number ways 6 cards can be drawn from a deck of 52 cards will be,

$=\ ^{52}\text{C}_6=20358520$

In a deck of 52 cards, 13 cards are of spades. So drawing 2 spades out of 13 is,

$=\ ^{13}\text{C}_2=78$

As exactly 2 must be spades, so the remaining 4 cards must be drawn from other 39 cards of other suits. This can be done in,

$=\ ^{39}\text{C}_4=82251$

The probability of getting exactly 2 of the cards are spades out of 6 cards will be,

$=\dfrac{\ ^{13}\text{C}_2\times ^{39}\text{C}_4}{\ ^{52}\text{C}_6}=\dfrac{78\times 82251}{20358520}=0.315$

4 0

3 years ago