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2 years ago

. Write the ratio. Explain what the ratio means. 1.golf balls to golf tees

Mathematics

1 answer:

Rainbow [258]2 years ago

5 0

Answer: 5/1

Step-by-step explanation:

so their is 5 balls and 1 tee so put it into a fraction

Ratio means the quantitative between two amounts showing the number of times one value contains

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Zoe the goat is tied by a rope to one corner of a 15 by 25 meter rectangular barn in the middle of a large, grassy field. Over w

atroni [7]

Answer: $78.55\ m^2$

Step-by-step explanation:

Given

The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.

Zoe can graze in an area equal to quadrant of circle with radius 10 m

Area of grazing is

$\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2$

6 0

1 year ago

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

1 year ago

The range for the Kentucky temperature is ____

natka813 [3]

Answer:

1) 6.1

2)5.1

3)2.8

4)2.4

5)I don't know what the last one is asking for, are there answer choices

Step-by-step explanation:

1)Max-min=58.3-52.2=6.1

2)Max-min=55-48.9=5.1

3)Upper quartile- lower quartile= 57.3-54.5=2.8

4)Upper quartile- lower quartile= 53.3-50.9=2.4

5) I don't know what this one is asking

6 0

2 years ago

Read 2 more answers

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. T

Nina [5.8K]

Given:
<span>12-foot wire is secured from the ground to the tree at a point 10 feet off the ground.
The tree meets the ground at a right angle.

When you visualize the scenario, the 12 foot wire would be the measure of the hypotenuse and the 10 feet off the ground will be the short leg or opposite. The long leg or adjacent is unknown.

We need to solve for sine theta because the value of hypotenuse and opposite is given.

sin </span>θ = opposite / hypotenuse
sin θ = 10 feet / 12 feet
sin θ = 0.833
θ = 0.83 / sin
θ = 56°

The wire would meet the ground at approximately 56° angle.

3 0

2 years ago

The price of your service plan before taxes is 89.99. For your convenience, I will deduct 15% off your service plan before taxes

Citrus2011 [14]

First, you must find how much $ the discount takes off
89.99 * .15
=13.4985

Subtract that from 89.99

=76.4915

If you estimate it,
$ 76.49

5 0

2 years ago