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pentagon [3]
3 years ago
9

A coin is tossed and a number cube is rolled. What is P(heads, a number, a number less than 5)

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0

That would be 1/2 * 4/6

= 1/2 * 2/3 = 1/3 (answer)

stepladder [879]3 years ago
5 0

In a coin, there are 2 sides - heads and tails. The probability of getting a head is \frac{1}{2}

In a number cube, there are 6 numbers. The probability of being a number is 1.

The 6 numbers in a number cube are: 1, 2, 3, 4, 5, 6. There are 4 numbers less than 5. The probability of being less than 5 is \frac{4}{6}.

Now multiply the 3 probabilities together:

\frac{1}{2} \times \frac{1}{1} \times \frac{4}{6} = \frac{4}{12} \rightarrow \frac{1}{3}

Your answer is A.

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Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of
jeka57 [31]

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

c^2=a^2+b^2-2ab\cos C

a = 33 cm, b = 37 cm and C is 120°

So,

c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm

So, the length of the third side of the triangle is 60.65 cm.

7 0
3 years ago
Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.
Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that \mu = 50, \sigma = 10

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{65 - 50}{10}

Z = 1.5

Z = 1.5 has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

7 0
3 years ago
Two cars are traveling in the same direction. the first car is going 40 mph and the second car is going 55 mph. the first car le
jarptica [38.1K]
I hope this helps you




distance=speed×time



first cars time t




second cars time t+3



same distance


distance=55.t


distance=40. (t+3)



55t=40 (t+3)



55t-40t=120


15t=120


t=8


t+3=11
4 0
3 years ago
Which algebraic rule describes the translation of ADEF to AD'E'F?
Marrrta [24]

Answer:

B: (x, y) --> (x + 4, y - 3)

Step-by-step explanation:

the shape DEF went to the right along the x axis wich <em>increased</em> x and then went down the y axis or <em>decreased </em>y to make D'E'F'

some good way to remember these translations and orders are...
 - x is first when plotting points, then y (x, y)
 - x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down

BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))

4 0
2 years ago
laptop screen sizes are determines by the diagonal measurement rounded to the nearest whole number a laptop screen has a 9 in wi
Delvig [45]
------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
a² + b² = c²

------------------------------------------------------------------------------------------
Find Diagonal
------------------------------------------------------------------------------------------
9² + 7² = c²
c² = 81 + 49
c² = 130
c = 11 in (Nearest whole number)

------------------------------------------------------------------------------------------
Answer: The diagonal measure 11 inches
------------------------------------------------------------------------------------------
6 0
3 years ago
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