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melomori [17]
3 years ago
5

Secant TQ and tangent TR intersect at point T. Chord SR and chord PQ intersect at point V. Find the values of x and y. If necess

ary, round to the nearest tenth.

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Answer:

x=4, y=9.6

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

TP X TQ=TR^2

9(9+12+x)=15^2\\9(21+x)=225\\189+9x=225\\9x=225-189\\9x=36\\x=4

Next, we apply Theorem of Intersecting Chords

SV X VR=PV X VQ

5 X y = x X 12

Recall: x=4

5y=4 X 12

5y=48

y=48/5=9.6

Therefore: x=4, y=9.6

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Write the equation of the line that passes through the points (1,3) and (3,4).
BartSMP [9]

Answer:

y=1/2x+5/2

Step-by-step explanation:

4-3=1

3-1=2

m=1/2x

So now you have y=1/2x

Insert into equation

y=1/2x+?

Now sub you slope in to last points, and you get 5/2

So now you final answer is:

y=1/2x+5/2

8 0
2 years ago
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A sales and marketing management magazine conducted a survey on salespeople cheating on their
Alenkinab [10]

Answer:

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

In the survey on 200 managers, 58% of the managers have caught salespeople cheating on an expense report.

This means that n = 200, \pi = 0.58

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 - 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.5116

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 + 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.6484

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

7 0
3 years ago
1. Jordy brings in cupcakes for his class. He brings 2 cupcakes for each person in his class and 5 extra cupcakes as extra just
USPshnik [31]

Answer:

22 people

Step-by-step explanation:

49 - 5 = 44 cupcakes

44 ÷ 2 =  22 people

6 0
3 years ago
PLS ANSWER QUICK THX
ycow [4]

Answer:

y^2-x^3 =4^2-2^3 =16-8 =8. x^1+x^3-y^2 =3+27-25 =30 -25=5. x^4/x^3=6^4/6^3 =1296-216=1080.

5 0
3 years ago
The square of a whole number is between 200 and 250. the number must be between
statuscvo [17]

Step-by-step explanation:

square of 15 = 225

The Number must be between 14 and 16

6 0
4 years ago
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