All categories

3 years ago

The table below shows a student's quiz scores on four quizzes.

Mathematics

1 answer:

Lisa [10]3 years ago

6 0

Step-by-step explanation:

A mean is an average

Formula for Average/Mean:

Total of all categories

(in this case the total scores of the quizzes)

______________________

The number of category

(the number of quizzes so it's 5)

(13 + 19 + 18 + 14 + 1) ÷ 5 = 13

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I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

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3 years ago

Right to explain how this digit 6 changes value in number 666, 666, 666

zvonat [6]

To a higher number the six changes value in this number above

8 0

3 years ago

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

I WILL GIVE YOU BRAINLIST IF YOU ARE CORRECT! THIS IS FOR 30 POINTS!

Maksim231197 [3]

Answer:If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Step-by-step explanation:

Explanation:

Let the number of tiles be

At the first shop: Cost =

0.79

At the second shop: Cost =

1.19

If the cost is the same:

1.19

0.79

←

solve for x

1.19

−

0.79

0.4

tiles

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

8 0

3 years ago

What is the midpoint of GH if the coordinates of G and H are (2,5) and (-6,3)

spayn [35]

Mid point of x:
{2-(-6)} : 2
8 : 2
4

mid point of y:
(5-3) : 2
2 : 2
1

so (4,1)

7 0

3 years ago