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4 years ago

A bag contains 40 marble 12 red and 16 yellow what is the probability that a blue is randomly seclected

Mathematics

1 answer:

lora16 [44]4 years ago

7 0

Answer:

Fraction=3/10

Decimal=0.3

Percent=30%

Step-by-step explanation:

First we have to add 12+16 so we can find how many marbles are left

12+16=38

Then, we subtract it from the total number of marbles.the outcome of this operation would be equivalent to the number of blue marbles

40-38=12

There are 12 blue marbles.

Now, the we have to use experimental probability if you are familiar with the term is that the number of outcomes(the blue marbles) must be over the total sample space(total marbles) in a fraction.

Probability=

12/40

Simplify

12/40

6/20

3/10

Probability

Fraction=3/10

Decimal=0.3

Percent=30%

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Fed [463]

Answer: x= 6/35

Explanation

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3 years ago

Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.

hammer [34]

The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

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2 years ago

Complete the expressions.

solong [7]

Complete question :

Complete the expressions Write each answer as a number, a variable, or the product of a number and a variable 7(9r + 2) = 7 . 9r + 7 . ___ = ___ +

Answer:

2 ; 63r ; 14

Step-by-step explanation:

Given :

7(9r + 2)

Opening the bracket :

7*9r + 7*2 - - - - (1)

Taking the product

63r + 14 - - - - (2)

Now filling the blanks :

First blank corresponds to 2 (from (1))

Second blank corresponds to 63r (from (2))

Third blank should be 14

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3 years ago

2. Order 3.3,3.19,3 1/5,3 1/3.

cricket20 [7]

2.
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$3.19, \ \ \ 3\frac15, \ \ \ 3.3, \ \ \ 3\frac13$

3.
$20\%\cdot1500\$=0.2\cdot1500\$=300\$$

4.
$\frac{600g}{3kg}=\frac{600g}{3000g}=\frac{600g}{5\cdot600g}=\frac15$
This fraction is $\frac15$

5.
$10^3+10^2+10+1=1000+100+10+1=1111$

6. $6.7\cdot5\$=33.5\$$

7.
$180-40\%\cdot180=180-0.4\cdot180=180-72=108$

8.
$9^2-4\cdot9=81-36=45$

9.
from 8.45am to 12.45pm - 4 hours
$\$15\cdot4=\$60$
I earn $\$60$

10.
48 minutes = 1 hour - 12 min
21.15 - 1 hour = 20.15
20.15 + 12 min = 20.27

11.
$34.1^oC-27.6^oC=6.5^oC$

12.
$8\frac14 \ h= 8h \ 15min$
$10.30pm+8h = 6.30am\\ 6.30am+15min = \boxed{6.45am}$
I get up at 6.45am

13.
$12\cdot108=1296$

14.
$\overline{x}=\frac{8.2+9.4+3.5+2.9}4=\frac{24}4=6$

15.
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3 years ago

A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye

Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we select appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{x}=n\mu$

And the standard deviation of the distribution of the sum of values of X is given by,

$\sigma_{x}=\sqrt{n}\sigma$

The information provided is:

μ = $970

σ = $129

n = 102

Since the sample size is quite large, i.e. n = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

$\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)$

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

$P (\sum X \leq 100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}$

$=P(Z$

*Use a z-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0

3 years ago