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ra1l [238]
2 years ago
5

The heights of 500 students at a local school were recorded and found to be approximated by the normal curve below. Which

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
5 0

Answer:

option C.

Step-by-step explanation:

The given graph is the bell shaped graph.

From the graph we can observe that the peak is at 69.

So, the mean of the data is = 69 .

Standard deviation is the deviation of the graph from the mean value.

 =  72-69 = 3

Hence, the standard deviation is equal to 3.

So, the correct answer is option C.

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Find the slope of the line on the graph.write your answer as a fraction or a whole number, not a mixed number
Leona [35]

Answer:

slope = -\frac{1}{2}     if it were in an

Step-by-step explanation:

the graph is a negative and will therefore have a negative slope. to find the slope, pick a point on the graph and find the \frac{rise}{run}.

for instance, start with the point (0,1). Then go down 1 and left 2 to get to the next point on the graph (2,0). 1 is the "rise" and 2 is the "run" hence -1/2 being the slope.

you could also use the slope formula: \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

point 1: (0,1)    (x₁ ,y₁)

point 2: (2,0)    (x₂ , y₂)

\frac{0-1}{2-0} =-\frac{1}{2}

3 0
1 year ago
Which matrix equation has the solution
leonid [27]

Answer: x=0.6 btw how do you put a picture into a question.

5 0
2 years ago
The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is
Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275

What is the probability that the sample mean would differ from the true mean by less than 1.11 months?

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

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

By the Central Limit Theorem

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

Z = \frac{120.1 - 119}{1.6275}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

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

Z = \frac{117.9 - 119}{1.6275}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

3 0
3 years ago
I really need help plz help me
Phantasy [73]

Answer:

64

Step-by-step explanation:

This is actually really easy you just have to subtract 36 from 100

Hope this helps also please mark brainliest

6 0
3 years ago
The price of gold has increased by 35% per year from 2000. In the year 2000, Harry bought a gold ring for $590. Which of the fol
meriva
The correct choice is A. When something is being increased by a percentage, you add the percentage to 100%, so you add 35% to 100% to make a decimal of 1.35.  Every year the initial value of 590 will be increased by 35%. so the correct choice is A.
3 0
3 years ago
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