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Marina CMI [18]
2 years ago
9

These figures are congruent. What is the measurement? pic below

Mathematics
1 answer:
larisa [96]2 years ago
7 0

Answer:

i dont know

Step-by-step explanation:

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Consider a parent population with mean 75 and a standard deviation 7. The population doesn’t appear to have extreme skewness or
Aleks04 [339]

Answer:

a) \bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)

b) Since the sample size is large enough n>30 and the original distribution for the random variable X  doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

c) P(\bar X \leq 77)=P(Z

d) See figure attached

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable of interest. We know from the problem that the distribution for the random variable X is given by:

E(X) = 75

sd(X) = 7

We take a sample of n=40 . That represent the sample size

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is also normal and is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)

Part b

Since the sample size is large enough n>30 and the original distribution for the random variable X  doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

Part c

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}

And we want to find this probability:

P(\bar X \leq 77)=P(Z

We can us the following excel code: "=NORM.DIST(1.807,0,1,TRUE)"

Part d

See the figure attached.

8 0
2 years ago
Find one length of the square (7x-3) 3(x+1)
Svetllana [295]

Area of a square = Side × Side

Side = 7x-3

Area of the square = (7x-3) × (7x-3)

= 7x(7x-3) -3(7x-3)

= 49x^2 -21x -21x +9

=49x^2 -42x +9

6 0
3 years ago
F(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)
lord [1]

Answer:

6 and 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 2(3) = 6

To evaluate g(f(3)), substitute f(3) = 6 into g(x)

g(6) = 6 + 1 = 7

8 0
2 years ago
Complete the table of values for
ankoles [38]

Answer:

can't see the pic properly

5 0
2 years ago
HELP MEEE!! Please evaluating a compound. Inequality using a graph
Irina-Kira [14]

Answer:

\frac{x}{2}

Step-by-step explanation:

From the graph, we can conclude that,

x is less than 2 and not including as there is a hollow circle at the mark 2.

Also, x is greater than or equal to 7 including 7 as there is a solid circle at the mark 7

So, the compound inequality will be x

Now, the option that simplifies to the above inequality is the required answer.

Let us check the first option.

\frac{x}{2}

\frac{x}{2}

Therefore, option 1 simplifies to the above compound inequality.

So, the correct answer is option 1.

6 0
3 years ago
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