Given data below, what is the mean absolute deviation? 58,88,40,60,72,66,80,48

What is this number in standard form? (3×100)+(1×110)+(4×11,000)

zimovet [89]

Answer:

44410

Step-by-step explanation:

6 0

2 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

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Subject : Maths Level : High school Topic : Surds Points : 72

Mila [183]

Answer:

a = 5

Step-by-step explanation:

Simplify:

√5(√8 + √18) =
√5*8 + √5*18 =
√40 + √90 =
√4*10 + √9*10 =
2√10 + 3√10 =
(2 + 3)√10 =
5√10

The value of a:

a√10 = 5√10
a = 5

6 0

3 years ago

A bag contains 10 marbles. 5 of them are red marbles, 2 blue marbles, and 3 green marbles. You randomly pick a marble out of the

Akimi4 [234]

The probability of randomly picking out a red marble is 50%, or 1/2.

You can figure this out by finding out the percentage of each marble in the bag, and that percentage would be the probability for picking out that colour of marble. For example, the percentage of red marbles in the bag is 50%, the percentage of blue marbles in the bag is 20%, and the percentage of green marbles in the bag is 30%.

By doing this, you figured out not only the percentage of each colour of marble in the bag, but you also figured out the probability of each marble being randomly picked out of the bag.

3 0

3 years ago

How many times dose 8 go into 64

podryga [215]

8 times because 8 times 8 equals 64

5 0

3 years ago

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