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user100 [1]
3 years ago
8

Josh has 4 shirts (white, blue, green, and red) and 4 pairs of socks in the same colors. Suppose Josh grabs a shirt and a pair o

f socks without looking. What is the probability that his shirt and socks won't match?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

First let us determine the total number of combinations that can be made from these pair. The number of combinations can simply be calculated by multiplication, so:

Combination = 4 * 4 = 16

Since we know that for each shirt color, there is a corresponding sock with the same color. So there are 4 matching pairs. Therefore the unmatching pairs are 12. Calculating the probability to get unmatching pair would be:

Probability of unmatching pair = 12/16 = 0.75

Interpretation: There is a 75% probability that his socks and shirt wont match.

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]solomon needs to justify the formula for the arc length of a sector. which expression best completes this argument? the circumf
Anna35 [415]

Answer:

\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}} best completes this argument

Step-by-step explanation:

Circumference of circle =\pi \cdot d

Where d is the diameter of circle

We are given that if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to \frac{360^{\circ}}{n^{\circ}}

So, Number of sectors =  \frac{360^{\circ}}{n^{\circ}}

The arc length of each sector is the circumference divided by the number of sectors

\Rightarrow \frac{\pi \cdot d}{\frac{360^{\circ}}{n^{\circ}}}

Diameter d = 2r (r = radius)

\Rightarrow \frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}

Option b is true

Hence\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}} best completes this argument

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4 years ago
What is the measure of angle c​
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Answer:

? wouldn't it be obtuse

Step-by-step explanation:

6 0
3 years ago
(2x + 5)(x2 + 5x + 1)
posledela

Answer:

2x^3 + 15x^2 + 27x + 5

Step-by-step explanation:

2x(x^2 + 5x + 1) + 5(x^2 + 5x + 1)

2x^3 + 10x^2 + 2x + 5x^2 + 25x + 5.....then

add the values with the same variables...

2x^3 + (10x^2 + 5x^2) + (2x + 25x) + 5

; 2x^3 + 15x^2 + 27x + 5

7 0
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