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Darya [45]
3 years ago
11

What decimal is equivalent to 12%? Enter your answer in the box.

Mathematics
1 answer:
Cloud [144]3 years ago
8 0
12% as a decimal is 0.12. 0.12 is equivalent to 12%
~Silver
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An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are E(1)= ^9C_2 places in which the other 2 red balls can be placed.

A red ball drawn third, there are E(3)= ^7C_2 places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are E(5)= ^5C_2 places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are E(7)= ^3C_2 places in which the other 2 red balls can be placed.

The total number of total event is S= ^{10}C_3

The probability that A selects the first red ball is

P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}

P(A \text{wins})=\frac{36+21+10+3}{120}

P(A \text{wins})=\frac{70}{120}

P(A \text{wins})=0.5833

6 0
3 years ago
Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):
Rus_ich [418]

Answer:

The phase shift:

1 unit to the right and 1 unit up

Step-by-step explanation:

∵ y = 1 + sin2(x - 1)

∴ y = 1 + sin(2x - 2)

∵ y = Sin(Bx - C) + D

∵ The vertical shift is D

∴ The horizontal shift is -C/B

∴ The vertical shift is 1 unit up

∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right

5 0
3 years ago
Read 2 more answers
PLEASE HELP AS SOON AS POSSIBLE
frutty [35]

Answer:

FALSE

TRUE

TRUE

Step-by-step explanation:

For median,

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785

So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25

For May apply same concept and you get median to be 2.25.

Median difference is 3.25-2.25 = 1

Therefore, statement 1 is false and statement 2 is true.

For average in May, add all numbers and divide by the number of data points so May= (2.5+3+3.5+3.5)/ 4 = 3.13

Apply same concept you for April and you get 2.38 as mean.

Mean difference is 3.13-2.38 = 0.75

Therefore, statement 3 is correct (true)

4 0
3 years ago
If −5e^x^2 y=x and y(−5)=0, find y′(−5) by implicit differentiation
xenn [34]
Differentiate:
-5×2(xe^x^2)y-5e^x^2dy/dx=1
-5e^x^2(2xy+y´)=1
When x=-5, y=0:
-5e²⁵y´=1, so y´(-5)=-eˉ²⁵/5
6 0
3 years ago
Simplify.
Semmy [17]
The answer will be D 15m+2n
7 0
3 years ago
Read 2 more answers
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