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2 years ago

Find the 84th percentile

Mathematics

1 answer:

morpeh [17]2 years ago

5 0

Answer:

Roughly speaking, in a normal distribution, a score that is 1 s.d. above the mean is equivalent to the 84th percentile. ... In other words, roughly 95 percent of students are within two standard deviations – positive or negative – of the average

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In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the law of sines, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}$

We can use this to solve for $B$ :

$13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}$

$B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1$

Now, we can find $C$ :

$C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}$

Using this, we can find $c$ :

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}$

$c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}$

c is approximately 17.5.

8 0

2 years ago

The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th

makvit [3.9K]

Answer:

k = 0.2645

Step-by-step explanation:

Given model:

y = 4070 $e^{kt}$

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070 $e^{3k}$

$\frac{9000}{4070}$ = $e^{3k}$

$\frac{900}{407}$ = $e^{3k}$

Taking natural logarithm on both sides, we get:

$ln\frac{900}{407}$ = $ln(e^{3k})$

$ln\frac{900}{407}$ = 3k lne

lne=1

$ln \frac{900}{407}$ = 3k

or k = $\frac{1}{3}$ $ln\frac{900}{(407)}$

k = $\frac{1}{3}$ (0.7936)

k = 0.2645

7 0

3 years ago

Can you please help me fill this out thanks

RoseWind [281]

For perimeter you just add the sides up, so 15+12+9 which = 36

7 0

3 years ago

Read 2 more answers

Evaluate each expression if r= −3, s=4, and t= −7.

saul85 [17]

Answer:

a. $5$

b. $-1$

c. $132$

Step-by-step explanation:

Given:

$r =-3$ , $s = 4$ and $r = -7$

$\sqrt{s} +|r| \\ \sqrt{4} +|-3| \\ 2 +3 \\ 5$

$\frac{s -r}{t} \\ \frac{4 -(-3)}{-7} \\ \frac{4 +3}{-7} \\ \frac{7}{-7} \\ -1$

$2s^3 +r -t \\ 2(4)^3 +(-3) -(-7) \\ 2(64) -3 +7 \\ 128 -3 +7 \\ 132$

5 0

2 years ago

A florist had 88 flowers. She wanted to put

EastWind [94]

Answer:

2 (Remainder 4) In decimal form to the hundredths: 2.09

Step-by-step explanation:

<h3>42 can only go into 88 two times, so 42 x 2 = 84. So then 2 is your answer. BUT you have 4 left, so it's 2 remainder 4. If you want to round to the tenths, hundredths, ect, here is the original decimated number: 2.09523809524</h3>

4 0

2 years ago