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Nezavi [6.7K]
3 years ago
7

Find the probability of rolling a 5 or greater

Mathematics
1 answer:
stich3 [128]3 years ago
8 0
Well if this a standard dice than the chance of rolling a 5 is 1/6 but if it's 5 or greater it would be 2/6 or 1/3 because there is now 2 different numbers that we are looking for
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A plane averaged 500 mph on a trip going east but only 350 mph on the return trip. The total flying time for both directions was
Fittoniya [83]

Answer:I wish I knew

Step-by-step explanation:

5 0
3 years ago
There are 765 marbles in a box. There are twice as many blue marbles as green marbles. There are three times as many red marbles
Digiron [165]
B=blue
g=green
r=red
2 times as many blue as green
b=2g
3 times as many red as blue
r=3b
subsitute 2g for b
r=3(2g)=6g
r=6g

r+g+b=765
so we subsitute
r=6g
g=g
b=2g

6g+g+2g=765
add like terms
9g=765
divide both sides by 9
g=85
subsitute
b=2b
b=2(85)
b=170

170 blue
5 0
3 years ago
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution o
DENIUS [597]

Answer:

33.36% probability that X is less than 2.

Step-by-step explanation:

The distribution is not normal, however, using the central limit theorem, it is going to be approximately normal. So

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

Normal Probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 2.2, \sigma = 1.4, n = 9, s = \frac{1.4}{\sqrt{9}} = 0.467

(a) Suppose we let X be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that X is less than 2?

This is the pvalue of Z when X = 2. So

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

By the Central Limit Theorem

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

Z = \frac{2 - 2.2}{0.467}

Z = -0.43

Z = -0.43 has a pvalue of 0.3336.

33.36% probability that X is less than 2.

4 0
3 years ago
Write the following in vertical columns. Then subtract.<br><br>b) 4a - 7c from 4a - 3b + 8c<br>​
andreyandreev [35.5K]

It is instructed to subtract (2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).

So, First we will do the sum of the three given polynomials,

Sum =(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)

=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)

=4a+8c

Now, we can perform the subtraction,

∴ Required difference

=(4a+8c)−(2a−3b+4c)

=4a+8c−2a+3b−4c

=2a+3b+4c

6 0
2 years ago
Work out the area of the shaded shape
liberstina [14]

Answer:

62 meters.

Step-by-step explanation:

Seperate the figure into three squares.

Then, find the areas of those squares using the area formula.

A=lw

A=4*4=16

A=3*14=42

A=1*4=4

Add up all those numbers, and you have the area.

16+42+4=62 meters.

7 0
3 years ago
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