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3 years ago

Suppose the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population. At

Mathematics

1 answer:

V125BC [204]3 years ago

4 0

Answer:

the required number of samples to contain the population mean = 136

Step-by-step explanation:

From the Empirical rule, If a data is normally distributed, then about 68% of the population lies within one standard deviation from mean.

Now, if we suppose that the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population. i.e. μ = 300

And;

Number of simple random samples: n = 200

Thus, by implication, we would expect about 68% of 200 samples confidence intervals to contain the population mean .

Hence,

Required number of samples = 68% of 200

This gives ;

0.68 x 200 = 136

Thus , the required number of samples = 136

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What property is 2*(3*4)=(2*3)*4

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Answer:

Step-by-step explanation:

Associative property

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What is the value of a^3, if a =7

alekssr [168]

Ok so remember
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3 years ago

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What is the arc measure of YWZ in degrees? (5w+4) (11w)

mote1985 [20]

Answer:

59 degrees

Step-by-step explanation:

In the figure below, XZ is a diameter of circle A.

Since the Angles (5w+4) and (11w) forms a straight line, then:

$(5w+4)^\circ+(11w)^\circ=180^\circ\\5w+11w+4=180\\16w=180-4\\16w=176\\w=\frac{176}{16}\\ w=11$

Therefore, the arc measure of YZ will be:

$5w+4=5*11+4=59^\circ$

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3 years ago

Integers and polynomials are both _[blank 1]_ under addition, subtraction, and multiplication; however, operations on polynomial

geniusboy [140]

Answer:

Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .

Step-by-step explanation:

Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.

Operations on polynomials can sometimes be open, like in division.

Operations on integers can produce irrational results , for example, dividing 11 by 9.

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3 years ago

2) Let () = x − 4 and () = x2 − 10. Find the solution to the equation () = () by sketching the functions. A) 2 and 3 B) −2 and 3

bezimeni [28]

We have been given a system of equations. $f(x)=x-4$ and $g(x)=x^2-10$ . We are asked to find the solution of the equation $f(x)=g(x)$ by sketching the functions.

We can see that f(x) is a linear function in slope-intercept form. The slope of f(x) is 1 and y-intercept at point $(0,-4)$ .

We can also see that g(x) is a quadratic function. The function g(x) is an upward opening parabola, whose vertex is at point $(0,-10)$ .

Upon graphing both equations, we will get our required graph as shown in the attachment.

The solution of $f(x)=g(x)$ will be the x-coordinates of points, where both functions will intersect.

We can see that both functions are intersecting at $x=-2\text{ and }3$ , therefore, $-2\text{ and }3$ are the solutions of $f(x)=g(x)$ and option B is the correct choice.

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4 years ago