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kiruha [24]
3 years ago
8

Cam hit the bull's-eye in darts 8 times out of 15 throws. What is the experimental probability that cam's next throw will hit th

e bull's-eye?
Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer:

Probability = 0.533

Step-by-step explanation:

Given

Hits = 8

Throws = 15

Required

Determine the experimental probability

This is calculated by dividing the number of hits by the total throws.

Probability = \frac{Hits}{Throws}

Probability = \frac{8}{15}

Probability = 0.533

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There are four cups of milk how many ounces of milk are in 4 cups (8 oz in a cup)
nadya68 [22]

Answer:

convert 4 cups to ounces:

4 cups = 32oz

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y = 3, x = 4
Ad libitum [116K]
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
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4 0
3 years ago
The owner of an orange grove estimates that if 24 trees are planted per acre, then each mature tree will yield 600 oranges per y
tia_tia [17]

Answer:

16428 oranges

Explanation:

Total yield = number of trees × number of oranges in each tree

Initial yield = 600×24= 14400 oranges

To find the equation needed, let x = additional trees and y= total yield

Number of trees = 24 +x

Number of oranges in each tree = 600-12x

Equation of total yield y= (24+x)(600-12x)

y= 14400-288x+600x-12x²

y= -12x²+312x+14400

Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a

A quadratic equation is such: ax²+bx+c

Therefore x =-312/2×-12

x= -312/-24

x= 13

So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:

24+x=24+13= 37 trees in total

y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400

=16428 oranges in total yield

8 0
2 years ago
What is the value of x to the power of 6 + y to the power of 2 when x=1 and y=11
siniylev [52]

Answer: 122

Step-by-step explanation: Substitute the values of <em>x</em> and <em>y</em> into the expression.

x^6+y^2 \\ \text{ is like } \\ ( )^6 + ( )^2

"Fill in the blanks" with the numbers given for <em>x</em> and <em>y</em>.

(1)^6+(11)^2 = 1+121=122

4 0
3 years ago
Find the area of an equilateral triangle with apothem 7 cm.
lbvjy [14]
So hmm check the picture below

using the 30-60-90 rule, we get that much.. .bear in mind, an equilateral triangle has all equal sides, and therefore, all equal angles, so each angle is 60°, run a median through it from the center, and you split it in half

\bf \textit{area of an equilateral triangle}\\\\&#10;A=\cfrac{s^2\sqrt{3}}{4}\qquad &#10;\begin{cases}&#10;s=\textit{length of one side}\\&#10;----------\\&#10;s=14\sqrt{3}&#10;\end{cases}\implies A=\cfrac{(14\sqrt{3})^2\sqrt{3}}{4}&#10;\\\\\\&#10;A=\cfrac{14^2\cdot 3\sqrt{3}}{4}\implies A=\cfrac{588\sqrt{3}}{4}\implies A=147\sqrt{3}

8 0
3 years ago
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