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Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a p

Vladimir [108]

tienees que fijartelos extrreemos

8 0

3 years ago

Which equation best represents the line in the graph

bulgar [2K]

Answer:

G

Explanation

4 0

3 years ago

A complex number z=a+bi had an absolute value of 3.28. What could the values of a and b be ? A.a=1.5,b=1.7 C.a=1.7,b=2.8

Levart [38]

The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28

( A) IF ⇒⇒ a=1.5 and b=1.7

∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27

===================================

(B) IF ⇒⇒ a=1.5 and b=3.3

∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62

====================================

(C) IF ⇒⇒ a=1.7 and b=2.8

∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28

====================================

(D) IF ⇒⇒ a=2.8 and b=3.3

∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) a=1.7,b=2.8

4 0

3 years ago

I need help on this

Mariana [72]

Isolate the w

w/3 = 5

Note the equal sign. What you do to one side, you do to the other.

Multiply 3 to both sides

w/3(3) = 5(3)

w = 5(3)

Multiply

w = 15

15 is your answer for w

hope this helps

5 0

3 years ago

Read 2 more answers

The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check

Verdich [7]

Answer:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =150$ represent the population standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

$\bar X = \frac{740+920}{2} = 830$

and the margin of error is given by :

$ME = \frac{920-740}{2}= 90$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

5 0

3 years ago