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mixer [17]
3 years ago
14

You are interested in getting an investment portfolio started with any extra money you make from your part time job while also g

oing to school. While flipping through the latest edition of Money magazine, you read an article that of a survey of magazine subscribers, 164 were randomly selected and analyzed. A 95% confidence interval was constructed for the proportion of all subscribers who made money in the previous year in their investments, which was ( 0.6904 , 0.8218 ). What is the correct interpretation of this confidence interval
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218

Step-by-step explanation:

The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.

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(x+1) x (3x-4) is the answer
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2 years ago
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.
olga55 [171]

Answer:

The slop is undefined

i.e. m=\infty

Step-by-step explanation:

Considering the slope formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty

so

  \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

            =\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}

             =\frac{0-\left(-4\right)}{0}

             =\infty    

Therefore, the slop is undefined i.e. m=\infty

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3 years ago
State the first 3-digit multiple of 7​
Elis [28]
Da answer is 7, 14, 21
5 0
3 years ago
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