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Assoli18 [71]
3 years ago
13

A student claims that the rectangular point below can be represented by the

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0

Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number.  I like writing polar coordinates with a P in front to remind me.

It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.

P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )

P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )

That's true since when we add pi to an angle it negates both the sine and the cosine,

cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)

sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)

Answer: TRUE

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A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a samp
fenix001 [56]

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion \hat p

\hat p = \dfrac{x}{n}

\hat p = \dfrac{55}{100}

\hat p = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576

Then the margin of error E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}

E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}

E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}

E = 2.576 \times0.04975

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: \hat p - E

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

6 0
2 years ago
Are the lines parallel, perpendicular, or neither? One line through the points (3, 2) and (6, 8), and another line through the p
Temka [501]

Answer:

Parallel.

Step-by-step explanation:

Let's find the slope of each line.

One through the points (3,2) and (6,8):-

Slope = rise / run = (8-2)/(6-3)

=  6/3 = 2

The other line:-

Slope =  (6-2)(2-0)

= 4/2 = 2

The slopes are the same so the 2 lines are parallel.

3 0
3 years ago
Read 2 more answers
What is a correlation
posledela

Answer: a relationship/connection between two variables, there are negative and positive correlations.

7 0
2 years ago
Between what two integers does 160 lie
Annette [7]
An integer is a whole number, not a fraction or decimal. Integers can be positive or negative. 180, 4, 17, -56 are all integers. 4.5, 38 1/2, 88.7 are not integers because they are not whole numbers.

ANSWER: 160 lies between 159 and 161.

Hope this helps! :)
8 0
2 years ago
this graph shows the amount of rain that falls in a given amount of time. what is the slope of the line and what does it mean in
Galina-37 [17]

Answer:

-5/-2 or 2.5

Step-by-step explanation:

Because you gave two points that I'm guessing are from the graph I think that's the answer. Because when you use the slope formula y2-y1 over x2 - x1 you get -5/-2 or you either get 2.5 meaning that is the slope specifically saying the rate of change. You get 2.5 when you divide -5/-2 incase you need a decimal or want to simplfy it.

4 0
11 months ago
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