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3 years ago

Which of the following are equivalent to 85%? Choose all that apply

Mathematics

2 answers:

IRINA_888 [86]3 years ago

7 0

C is the correct answer.

ziro4ka [17]3 years ago

7 0

B and c are i think (??) i hope this helps, lol

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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure

dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

$y=-0.01x^2+0.5x+3$

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

$8=-0.01x^2+0.5x+3$

$8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100$

$800=-x^2+50x+300$

$-x^2+50x-500=0$

$x^2-50x+500=0$

we can use quadratic formula

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}$

$x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)$

$x=13.82,x=36.2$

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

$y=-0.01(30)^2+0.5(30)+3$

$y=9ft$

we know that

height of net is 8 ft

so, the ball will go over the net

5 0

3 years ago

Find the variance for the following data set: 88, 40, 10, 52, 33, 55, and 86.

musickatia [10]

Answer:

Variance s2 = 788.33333

Standard Deviation s = 28.077274

Count n = 7

Mean x¯¯¯ = 52

Sum of Squares SS = 4730

Step-by-step explanation:

7 0

2 years ago

Diego buys 4.25 pounds of mushrooms. Each pound costs $2.99. Which expression gives the best estimate of the cost of the mushroo

Vadim26 [7]

Answer:

(4)($3)

Step-by-step explanation:

Given parameters:

Quantity of mushroom bought = 4.25pounds

Cost of each mushroom = $2.99

Unknown:

Best estimate for the cost of the mushroom = ?

Solution:

The cost of the mushroom is:

Total cost = quantity of mushroom bought x cost of each mushroom

Total cost = 4.25 x 2.99

You can round 4.25 to 4 and 2.99 to 3

Or 4 x 3 = $12

8 0

3 years ago

Read 2 more answers

It takes Kay 20 minutes to drive to work traveiling 45 mph. Two minutes after she left home this morning, her husband, Dan, star

BARSIC [14]

Answer:

Kay's husband drove at a speed of 50 mph

Step-by-step explanation:

This is a problem of simple motion.

First of all we must calculate how far Kay traveled to her job, and then estimate the speed with which her husband traveled later.

d=vt

v=45 mph

t= 20 minutes/60 min/hour = 0.333 h (to be consistent with the units)

d= 45mph*0.333h= 15 miles

If Kay took 20 minutes to get to work and her husband left home two minutes after her and they both arrived at the same time, it means he took 18 minutes to travel the same distance.

To calculate the speed with which Kate's husband made the tour, we will use the same initial formula and isolate the value of "V"

d=vt; so

v= $\frac{d}{t}$

d= 15 miles

t= 18 minutes/60 min/hour = 0.30 h (to be consistent with the units)

v= $\frac{d}{t}=\frac{15 miles}{0.3 h}=50mph$

Kay's husband drove at a speed of 50 mph

8 0

3 years ago

a box contains 4 yellow, 5 green and 3 blue balls. find the probability of obtaining a yellow ball in a single random draw.

Alex

Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:

$P(Yellow)=\frac{\text{ number of yellow balls}}{\text{total number of balls}}=\frac{4}{12}=0.33$

therefore, the probability is 0.33 = 33%

7 0

1 year ago