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3 years ago

If f(x)= 3x-9, fine each function value. F(12)

Mathematics

1 answer:

uysha [10]3 years ago

7 0

Answer:

Step-by-step explanation:

Plug in 12 every time you see "x". When you do this it should be f(12) = 3(12) - 9 = 36 - 9 = 27.

Hope this helped :)

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Segment DC is a diameter of circle A in the figure below. If angle DAB measures 23.5 degrees, what is the measure of arc DB?

vfiekz [6]

The picture in the attached figure

we know that
if m ∠DAB=23.5°
then
arc DB=23.5°------> by central angle

the answer is
arc DB=23.5°

8 0

4 years ago

You need 3 sticks of butter for every 24 cookies. If you have 5 sticks of butter how many cookies is that?

Ber [7]

Answer:

5:40

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The ages of a random sample of five university professors are 39, 54, 61, 72, and 59. Using this information, find a 99% confide

kondor19780726 [428]

Answer:

99% confidence interval for the population standard deviation = (74.97 , 635.20).

Step-by-step explanation:

We are given that the ages of a random sample of five university professors are 39, 54, 61, 72 and 59. Also, it is provided that the ages of university professors are normally distributed.

So, firstly the pivotal quantity for 99% confidence interval for the population standard deviation is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, s = sample standard deviation

$\sigma$ = population standard deviation

n = sample of university professors = 5

Also, $s^{2}$ = $\frac{\sum (X-\bar X)^{2} }{n-1}$ = 144.5

So, 99% confidence interval for population standard deviation, $\sigma$ is;

P(0.2070 < $\chi^{2} __5_-_1$ < 14.86) = 0.99 {As the table of $\chi^{2}$ at 4 degree of freedom

gives critical values of 0.2070 & 14.86}

P(0.2070 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 14.86) = 0.99

P( $\frac{ 0.2070}{(n-1)s^{2} }$ < $\frac{1 }{\sigma^{2} }$ < $\frac{ 14.86}{(n-1)s^{2} }$ ) = 0.99

P( $\frac{ (n-1)s^{2}}{14.86 }$ < $\sigma^{2}$ < $\frac{ (n-1)s^{2}}{0.2070 }$ ) = 0.99

99% confidence interval for $\sigma^{2}$ = ( $\frac{ (n-1)s^{2}}{14.86 }$ , $\frac{ (n-1)s^{2}}{0.2070 }$ )

= ( $\frac{ (5-1) \times 144.5^{2}}{14.86 }$ , $\frac{ (5-1) \times 144.5^{2}}{0.2070 }$ )

= (5620.525 , 403483.092)

99% confidence interval for $\sigma$ = ( $\sqrt{5620.525}$ , $\sqrt{403483.092}$ )

= (74.97 , 635.20)

Therefore, 99% confidence interval for the population standard deviation of the ages of all professors at the university is (74.97 , 635.20).

8 0

4 years ago

Vectorial mechanics

charle [14.2K]

Answer:

Vectorial Mechanics is a book on vector manipulation by Edward Arthur Milne, a highly decorated British astrophysicist and mathematician.

Step-by-step explanation:

<h2 /><h2>•| jess bregoli |• </h2>

<h3># keep learning</h3>

6 0

3 years ago

In triangle def the measure of angle F=90 degrees fe=21 df=20cand ed=29 what is the cosine of angle e to nearest hundredth

Fudgin [204]

Answer:

four angles at point B in this second diagram.

Step-by-step explanation:

7 0

3 years ago