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neonofarm [45]
3 years ago
6

Someone help me on this one

Mathematics
1 answer:
juin [17]3 years ago
6 0

It's an isosceles triangle, so the angles at the base are congruent:


m\anlge WXY=m\angle WZY


The triangle XYW is a rectangular triangle.


We know that the sum of the measures of angles in a triangle is 180°.


Therefore we have the equation:


m\angle YWZ+90^o+17^o=180^o\\\\m\angle YWZ+107^o=180^o\ \ \ |-107^o\\\\m\angle YWZ=73^o



Answer: 73

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A high school guidance counselor determined the following information regarding students and their likelihood of playing a sport
iogann1982 [59]

Conditional Probability

Given two events A and B (not excluding), the probability that A occurs given that B has occurred is called a <em>conditional probability</em> and is calculated as:

P(A|B)=\frac{P(A\cap B)}{P(B)}

Where P(A∩B) is the probability that A and B occur simultaneously and P(B) is the probability that B occurs.

Now with the given data, we must find the values of the required probabilities.

30% of the students play a sport (S), this means that:

70% of the students don't play a sport (NS).

65% of the students have a job.

Note that there could be students who both play sports and have a job.

Of the 30% of the students who play a sport, 50% have a job. This means that:

15% of the students play a sport and don't have a job

15% of the students play a sport AND have a job

65% - 15% = 50% of the students have a job and don't play a sport

That last number is the numerator of the equation given above:

P(A∩B) = 0.5

The event B corresponds to students that don't play a sport (NS), thus:

P(B) = 0.7

Thus we have:

P(A|B)=\frac{0.5}{0.7}=\frac{5}{7}

The required probability is 5/7 or 0.7143

4 0
1 year ago
Help plz. <br><br><br><br> 3:5=____%
NemiM [27]

Answer:

3:5=_____%

Step-by-step explanation:

3:5 equal to 60%

3 0
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Rachel has developed a plan to start paying off her credit card debt, and has stopped making purchases with her credit card. She
Ann [662]
Present value of annuity PV = P(1 - (1 + r/t)^-nt) / (r/t)
where: p is the monthly payment, r is the APR = 14.12% = 0.1412, t is the number of payments in one year = 12, n is the number of years = 2.
1,120.87 = P(1 - (1 + 0.1412/12)^(-2 x 12)) / (0.1412 / 12)
0.1412(1120.87) = 12P(1 - (1 + 0.1412/12)^-24)
P = 0.1412(1120.87) / 12(1 - (1 + 0.1412/12)^-24) = $53.88

Minimum monthly payment = 3.15% of 1120.87(1 + 0.1412/12) = 0.0315 x 1120.87(1 + 0.1412/12) = $35.72

Therefore, his first payment will be greater than the minimum payment by 53.88 - 35.72 = $18.16
5 0
3 years ago
Read 2 more answers
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Sliva [168]

Answer:

slope-intercept form: y = x+2

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y-interspet is -2

Step-by-step explanation:

hope it helps

7 0
3 years ago
Please help x 15 points
katovenus [111]
A(0,-1)
B(3√3/3, 2)

Slope of AB = (y₂ - y₁)/(x₂-x₁)
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Slope = 1/√3/3 = 1/√3 = √3/3

OR SLOPE = tan(a°) = √3/3 and a° = 30°

3 0
3 years ago
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