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2 years ago

The numbers 1 through 15 are written on cards. One card is chosen at random. Event A is choosing a

Mathematics

1 answer:

lana [24]2 years ago

6 0

Step-by-step explanation:

the probability is always the number of desired cases over the number of all possible cases.

in our situation we have 15 cards.

that is the total possible cases when a random card is chosen.

how many desired cases do we have ?

a number NOT a multiple of 5.

how many are there ?

it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15

so, 3 numbers out of the 15 are multiple of 5.

that means

15 - 3 = 12 numbers of the 15 are NOT multiples of 5.

so, the probability to draw a card that is not a multiple of 5 is

12/15 = 4/5 = 0.8

the information about event B and even numbers is irrelevant for the question.

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a manager of company plans to produce 3000 units in a day employing 15 workers working 8 hours.How many units can be manufacture

zhannawk [14.2K]

Answer:

2,700 units

Step-by-step explanation:

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3 years ago

How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

3 years ago

Factor the following, I will give 5 stars and thanks.

tigry1 [53]

Answer:

13) $n=-3,-7$

14) $b=-4,-8$

15) $m=-7$

16) $a=-5,-7$

Step-by-step explanation:

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3 years ago

1. Given f(x)=2x 2 +1 and g(x)=3x-5 find the following

LenKa [72]

The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.

Here the two functions are given, f(x) and g(x).

f(x) = 2x² + 1

g(x) = 3x - 5

We have to find f-g and f(g(2)).

1) f- g

f(x) - g(x)

(2x² + 1) - ( 3x - 5)

2x² + 1 - 3x + 5

2x² - 3x + 6

2) f(g(2))

f(g(x)) = 2(3x-5)² + 1

= 2( 9x² - 30x + 25) + 1

= 18x² - 60x + 50 + 1

= 18x² - 60x + 51

f(g(2)) = 18(2)² - 60(2) + 51

=18× 4 - 120 + 51

= 72 - 120 + 51

= 123 - 120

= 3

Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.

To know more about the function refer to the link given below:

brainly.com/question/11624077

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1 year ago

Whats is the measure of ikj

zimovet [89]

The is Answer: 202 because I answered it

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3 years ago

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