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Gelneren [198K]
3 years ago
13

The Wildcats in leopards are on evenly matched football teams when they play there is a .5 probability that the Wildcats win if

they play nine times what is the probability that the Wildcats win two of the games round your answer to the nearest 10th of a percent
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

P( x = 2) = 0.4

Or 40%

Step-by-step explanation:

Given that wildcat has 0.5 probability of winning if they play nine times 

Probability = possible outcomes ÷ required outcome

The required outcome = 9

Probability = 0.5

Let calculate the possible outcomes

Possible outcomes = 0.5 × 9 = 4.5 games

the probability that the Wildcats win two of the games will be

P( x = 2) = 2/4.5 = 0.44

Or 44%

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A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,
8_murik_8 [283]

Answer:

f(x) = -6x +120

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

y = mx + b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

m=\frac{y_2-y_1}{x_2-x_1}   and b=y_1-mx_1

In this case: (x_1, y_1) = (5, 90) and (x_2, y_2) = (10, 60)

Then:

m=\frac{60-90}{10-5}

m=-6

And

b=90-(-6)(5)

b=120

Finally the function that shows the number of patients seen each week at the clinic is:

f(x) = -6x +120

7 0
3 years ago
Read 2 more answers
What is 625 over 6561 simplified?
erastovalidia [21]
<span> the answer is 0.09526. your welcome</span>
4 0
3 years ago
I just need help in one more ?
Fed [463]
M∠P = 12°
m∠Q = 90°   [A tangent line to a circle is perpendicular to the radius drawn to the tangent point]

m∠O = 90 - 12 = 78°

Answer: x=78°
8 0
4 years ago
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A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98
pshichka [43]

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.36

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

4 0
3 years ago
Ng ne Volume of a Cone
AnnyKZ [126]
Answer: height = 6, radius = 8, Volume = 401.92

Explanation:
Height = 6 given

Find radius:

Use Pythagorean’s theorem to find the side of the right triangle:

a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100-36
b^2 = 64
b = 8

And since length b is also the radius of the circle then radius = 8

Find volume:

V = pi x r^2 x h/3

V = 3.14 x 8^2 x 6/3

V = 3.14 x 64 x 2

V = 401.92
6 0
3 years ago
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