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Lelu [443]
3 years ago
12

Describe the position of the polar coordinates on the polar plane for (4,120).

Mathematics
1 answer:
Otrada [13]3 years ago
6 0
Clearly r=4 corresponds to a point on the fourth "circle" in the plane. \theta=120^\circ is a rotation of 120 degrees counter-clockwise relative to the positive side of the horizontal axis, which corresponds to a clockwise turn of 360 - 120 = 240 degrees.

This means (C) is the answer.
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How do I find the form of an equation. Is it Slope intercept form standard form or point slope form.
natulia [17]

Answer:

Step-by-step explanation:

slope intercept is y=mx+b

standard form is Ax+By=C.

point slope form is y-y₁=m(x-x₁)

so y=2/3x+2 is slope intercept

5 0
3 years ago
A bank is investigating ways to entice customers to charge more on their credit cards. (Banks earn a fee from the merchant on ea
MAVERICK [17]

Answer:

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )

The correct answer choice is a. (62.2, 113.8)

Step-by-step explanation:

Of the 500 customers who were told the increase applied to charges above $1000 each month, the average increase in spending was $527 with a standard deviation of $225.

Sample size = n₁ = 500

Sample mean = x₁ = $527

Standard deviation = s₁ = $225

Of the 500 customers who were told the increase applied to charges above $2000 each month, the average increase in spending was $439 with a standard deviation of $189

Sample size = n₂ = 500

Sample mean = x₂ = $439

Standard deviation = s₂ = $189

We are asked to find the 95% confidence interval for the difference between two means.

The given group of answer choices are

a. (62.2, 113.8)

b. (86.2, 120.5)

c. (10.3, 23.8)

d. (55.6, 67.8)

The confidence interval for the difference between two means is given by

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

Where \bar{x_{1} } and \bar{x_{2} } are the given sample means and margin of error is given by

$ MoE = z_{\alpha/2} \cdot \sqrt{\frac{s_{1}^2}{n_1} + \frac{s_{2}^2}{n_2}} $

The z-score corresponding to 95% confidence level is given by

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

From the z-table at α = 0.025 the z-score is 1.96

$ MoE = 1.96 \cdot \sqrt{\frac{225^2}{500} + \frac{189^2}{500}} $

MoE = 1.96 \cdot 13.14

MoE = 25.75

Finally,

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )

Therefore, the correct answer choice is a. (62.2, 113.8)

How to use z-table?

In the z-table find the probability of 0.025

Note down the value of that row, it would be 1.9.

Note down the value of that column, it would be 0.06.

Add the two numbers together.

The z-score is 1.9 + 0.06 = 1.96

4 0
4 years ago
I need the help with these please help!!
lubasha [3.4K]

Answer:1

Step-by-step explanation: hi

6 0
3 years ago
Which best describes the solutions to the equations 5x -6 - x =2x +2
maxonik [38]

Answer:

x=4

Step-by-step explanation:

6 0
3 years ago
Need to learn how to do this
qaws [65]
You have to color in the boxes for the quantity or the ammount of each thing it tells u to mark the ammount of the questions it gives u
8 0
3 years ago
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