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Andrej [43]
2 years ago
12

At Heard High School, the probability that a student takes Advanced Weight Training and Advanced Spanish is 0.099. The probabili

ty that a student takes Advanced Weight Training is 0.71. What is the probability that a student is taking Advanced Spanish if the same student is taking Advanced Weight Training?
Mathematics
1 answer:
suter [353]2 years ago
0 0
The probability that the students take both Advanced Weight Training and Advanced Spanish is the product of their individual probabilities. 
                            P(A and B) = 0.099 = P(A) x P(B)
where A and B are the events in which a student takes Advance Weight Training and Advanced Spanish.
                                   P(B) = P(A and B) / P(A)
Substituting the known values,
                                   P(B) = 0.099 / 0.71 = 0.14
Thus, the answer is 0.14. 
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On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and
lara31 [8.8K]
<h2>Answer:</h2>

Shown in the explanation

<h2>Step-by-step explanation:</h2>

A Rhombus is a quadrilateral having four sides of equal length each. Here, we know that the vertices of this shape are:

W(7,2) \\ \\ X(5,-1) \\ \\ Y(3,2) \\ \\ Z(5,5)

So the rhombus is named as WXYZ. To find its perimeter (P), we just need to find the length of one side and multiply that value by 4. By using the distance formula, we know that:

\overline{WX}=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} \\ \\ W(7,2)=W(x_{1},y_{1}) \\ \\ X(5,-1)=X(x_{2},y_{2}) \\ \\ \\ \overline{WX}=\sqrt{(7-5)^2+(2-(-1))^2} \\ \\  \overline{WX}=\sqrt{(2)^2+(3)^2} \\ \\ \overline{WX}=\sqrt{4+9} \\ \\ \overline{WX}=\sqrt{13}

Finally, the Perimeter (P) is:

P=4(\sqrt{13}) \\ \\ \boxed{P=4\sqrt{13}\ units}

5 0
2 years ago
Read 2 more answers
Exhibit: Department Store.
aalyn [17]

Answer:

Step-by-step explanation:

Considering the central limit theorem, the distribution is normal since the number of samples is large.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Confidence interval = mean ± z × σ/√n

Where

σ = population standard Deviation

σ/√n = sample standard deviation

Confidence interval = x ± z × σ/√n

1) x = $75

σ = $24

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.96 = 0.04

α/2 = 0.04/2 = 0.02

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.02 = 0.98

The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 96% is 2.05

Confidence interval = 75 ± 2.05 × 24/√64

= 75 ± 2.05 × 3

= 75 ± 6.15

The lower end of the confidence interval is

75 - 6.15 = 68.85

The upper end of the confidence interval is

75 + 6.15 = 81.15

2) n = 400

x = $75

σ = $24

z = 2.05

Confidence interval = 75 ± 2.05 × 24/√400

= 75 ± 2.05 × 1.2

= 75 ± 2.46

The lower bound of the confidence interval is

75 - 2.46 = 72.54

The upper bound of the confidence interval is

75 + 2.46 = 77.46

3) n = 400

x = $200

σ = $80

The z score corresponding to the confidence level of 94% is 1.88

z = 1.88

Confidence interval = 200 ± 1.88 × 80/√400

= 200 ± 1.88 × 4

= 200 ± 7.52

Margin of error = 7.52

7 0
2 years ago
There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possibl
Xelga [282]

Answer:

84

Step-by-step explanation:

The baking club has 10 employees in total including Mark. When Mark is excluded there will be 9 employees who can form the executive committees.

The number of people who can form each committee are 3. To find the possible number of committees we use statistic computation technique. 9C3 we get 84 possible techniques.

7 0
1 year ago
An ideal gas is confined within a closed cylinder at a pressure of 2.026 × 105 Pa by a piston. The piston moves until the volume
Elis [28]

Answer:

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

Step-by-step explanation:

Given : An ideal gas is confined within a closed cylinder at a pressure of 2.026\times 10^5 Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.

To find : What is the final pressure of the gas when its temperature returns to its initial value?

Solution :

Since the temperature is constant .

The relation between P and V is given by,

P_1\times V_1 = P_2\times V_2

\frac{P_1}{P_2}=\frac{V_2}{V_1} ....(1)

The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e. V_2=\frac{V_1}{9}

or \frac{V_2}{V_1}=\frac{1}{9}

P_1=2.026\times 10^5

Substitute in equation (1),

\frac{2.026\times 10^5}{P_2}=\frac{1}{9}

P_2=9\times 2.026\times 10^5

P_2=18.234\times 10^5

P_2=1.8234\times 10^6

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

5 0
2 years ago
In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i
Svetlanka [38]
This is infinite since the sequence can go on forever. The sequence increases by 1b every time and the end number is increased 1 every time as well.
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8 0
1 year ago
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