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katovenus [111]
3 years ago
8

there are four colors red white black and blue on a spinner and there is a coin . what is the probability of spinning a red and

heads?
Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer: 1/8

Step-by-step explanation: There is 1/4 of a chance of spinning a red, and 1/2 of a chance of getting a heads. Multiply these numbers.

1/4 x 1/2 = 1/8

There is a 1/8 chance of this outcome.

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe
ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

S_n = \frac{n}{2}(n - 1)

Step-by-step explanation:

Given

For 5 people

\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}

Using the given instance of 5 people, the number of handshakes can be represented as:

(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

S_n = \frac{n}{2}{(T_1 + T_n})

Where

T_1 = n - 1 --- The first term

T_n = 0 --- The last term

So:

S_n = \frac{n}{2}(n - 1 + 0)

S_n = \frac{n}{2}(n - 1)

7 0
2 years ago
Translate : 5 more than a number squared (variable expression)
ohaa [14]

Answer:

5+x^2

Step-by-step explanation:

five more (5+) than a number squared (x^2)

4 0
2 years ago
Given sinθ=- 3/5 and cscθ=-5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity. Sh
Yakvenalex [24]
Let ABC be a triangle in the 3rd quadrant, right-angled at B. 
 So, AB-> Perpendicular BC -> Base AC -> Hypotenuse. 
Given: sinθ=-3/5 cosecθ=-5/3 
 According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
 Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
 Since sinθ=Perpendicular/Hypotenuse ,
 AC=5 and AB=3
 Substituting these values in equation (1)
 
〖BC〗^2=〖AC〗^2-〖AB〗^2

 ă€–BC〗^2=5^2-3^2
 

 ă€–BC〗^2=25-9

 ă€–BC〗^2=16

 BC=4 units

 Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
 So,cosθ=Base/Hypotenuse Cosθ=-4/5 
 secθ=Hypotnuse/Base secθ=-5/4 
 tanθ=Perpendicular/Base tanθ=3/4  
 cotθ=Base/Perpendicular cotθ=4/3
4 0
2 years ago
a young tree grows 6 cm per year. use the equation height = 6 cm x number of years to find how many years the tree would take to
AnnZ [28]
The tree grows 6cm per year and we need to find out how long it will take to grow 1 meter. We know that 1 meter is equal to 100 centimeters. So:
6x = 100
x = 16.67
It will take 16.67 years (or one and two-thirds of a year) for the tree to reach 1 meter.
7 0
3 years ago
Read 2 more answers
Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it tak
aleksley [76]

.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let x = time if working together
then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
3 0
3 years ago
Read 2 more answers
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