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3 years ago

There are only blue cubes, yellow cubes and green cubes in a bag.

1 answer:

3 0

Let the yellow cubes be x

yellow = x
blue = 2x // Blue cubes is twice of yellow
Green = 8x // Green is four times of blue

Ratio:
Yellow : Blue : Green
1 : 2 : 8

P(Yellow) = 1/11

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Answer: The probability of getting a yellow cube is 1/11.
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A widget company produces 25 widgets a day, 5 of which are defective. Find the probability of selecting 5 widgets from the 25 pr

PIT_PIT [208]

Answer:

0.292

Step-by-step explanation:

When we select the first widget, there are 20 good widgets from 25 total.

When we select the second widget, there are 19 good widgets from 24 total.

So on and so forth.

So the probability is:

P = (20/25) (19/24) (18/23) (17/22) (16/21)

P = 0.292

Alternatively, we can calculate this using combinations.

We are selecting 5 widgets from a total of 25. ₂₅C₅

From the 5 defective widgets, we want to select 0. ₅C₀

From the 20 non-defective widgets, we want to select 5. ₂₀C₅

So the probability is:

P = (₅C₀ ₂₀C₅) / ₂₅C₅

P = 0.292

4 0

3 years ago

85 x + 1.09 = 96.90 i need help

alexandr1967 [171]

Answer:

x = 1.13

Step-by-step explanation:

8 0

3 years ago

Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)

vredina [299]

Answer:

$x = 49.8^\circ\\y = 54.6^\circ$

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

AB = 16

BC = 19

AC = 15

$\angle ABC = x^\circ\\\angle ACB = y^\circ$

We have to find the angles x and y i.e. $\angle B \text{ and }\angle C$ .

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$ ,

b is the side opposite to $\angle B$ and

c is the side opposite to $\angle C$ .

$\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ$

Similarly, for finding the value of y:

$cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ$

Hence, the values are:

$x = 49.8^\circ\\y = 54.6^\circ$

7 0

3 years ago

Using the letter n to represent a number, express

BaLLatris [955]

Answer:

2n-4

Step-by-step explanation:

You're subtracting 4 from the product of n times 2

4 0

3 years ago

Someone please help me with this problem

WINSTONCH [101]

Answer:

see consider there are three angle 80 and x and 45(the measure of line is 180 so subtract 180 by 125 u will get 45) now measure of angle is 180 soo the value of x is 55degree so value of x is equal to that of z therefore value of z also 55 degree

4 0

3 years ago