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Effectus [21]
3 years ago
6

.) A population of values has a normal distribution with μ=27.5 and σ=71.5. You intend to draw a random sample of size n=180.

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:  a) 27.5, b) 5.33.

Step-by-step explanation:

Since we have given that

\mu =27.5\\\\\sigma =71.5

and n = 180

We need to calculate the sample mean and sample standard deviation.

So, the mean of the distribution of sample means is

\mu = \mu_x=27.5

The standard deviation of the distribution of sample means is

s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{71.5}{\sqrt{180}}=5.329=5.33

Hence, a) 27.5, b) 5.33.

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What is a physical quantity ?
Helga [31]

Answer:

A physical quantity is a physical property of a material or system that can be quantified by measurement.

3 0
3 years ago
3. Rohan is 9/12 m tall while John is 6/12 m shorter than<br> Rohan. What is John’s height?
mojhsa [17]

Answer:

3/12 simplified to 1/4

Step-by-step explanation:

When two fractions in an equation have the same denominator, you can easily subtract/add the numerator, so:

9 - 6 = 3

3/12

If you need to simplify your answer, your answer is 1/4

When simplifying this fraction, three is a multiple of 12 and 3 (called the common factor)

3 divided by 3 is 1

12 divided by 3 is 4.

6 0
3 years ago
Suppose that the function h is defined, for all real numbers, as follows.
raketka [301]

The function h is defined, for all real numbers , answer is as follows -

h(1) = - 2

h(2) = 3

h(4) = 3.

function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable

We have been given that

h(x) = 1/4(x) - 1       if x < -2

h(x) = -(x + 1)² + 2  if -2 ≤ x < 2

h(x) = 3                  if x ≥ 2

Find h (1), h (2), and h (4)

For h (1) -

Value of h(1) for h(x) = -(x + 1)² + 2 as if -2 ≤ x < 2

So put x = 1

h(x) = -(x + 1)² + 2

h(1) = -(1 + 1)² + 2

h(1) = -4 + 2

h(1) = - 2

For h (2) -

Value of h(2) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(2) = 3

For h (4) -

Value of h(4) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(4) = 3

Hence , the value for given functions - h(1) = - 2 , h(2) = 3 and h(4) = 3.

To learn more about Function

brainly.com/question/25638609

#SPJ1

5 0
1 year ago
If 4 watches cost 76.800. Find the cost of 9 watches pls answer my question
KatRina [158]

Answer:

1 watch cost 19,200 (76800/4=19200)

9 watches cost 172,800 (9×19200=172800)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Hi plz help ASAP tyyy ^^​
Aleksandr [31]

Answer:

26.75 units²

Step-by-step explanation:

This shape can be split into 3 triangles and a square. Find the area of each shape then add them all up.

A(Square)=2(2)=4\\\\A(Triangle)=\frac{1}{2}(2)(2)=2\\\\A(Triangle)=\frac{1}{2}(5)(2)=5\\\\A(Triangle)=\frac{1}{2}(9)(3.5)=15.75\\\\A(Shape)=4+2+5+15.75=26.75

Therefore, the area of the shape is 26.75 units².

7 0
3 years ago
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