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3 years ago

Find the probability of rolling a 5 or greater

1 answer:

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