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Kamila [148]
3 years ago
13

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordi

nates. slope: −13−13, ordered pair: (−1,−3)(−1,−3)
Mathematics
1 answer:
schepotkina [342]3 years ago
7 0
Serdtfyguhijokpijhugyftdresdtfgbhjn
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The heights in inches of orangutans Are normally distributed with a population standard deviation of 3" and an unknown populatio
CaHeK987 [17]

Answer: The 95% confidence interval is approximately (55.57, 58.43)

======================================================

Explanation:

At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.

The sample size is n = 17

The sample mean is xbar = 57

The population standard deviation is sigma = 3

The lower bound of the confidence interval is

L = xbar - z*sigma/sqrt(n)

L = 57 - 1.960*3/sqrt(17)

L = 55.5738905247863

L = 55.57

The upper bound is

U = xbar + z*sigma/sqrt(n)

U = 57 + 1.960*3/sqrt(17)

U = 58.4261094752137

U = 58.43

Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.

7 0
3 years ago
The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.
Agata [3.3K]

Answer:

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

y=56x

comparing with the slope-intercept form of the line equation

m = 56

<u>Determining the y-intercept</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

y = 0

Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

  • The slope m = 56
  • The y-intercept b = 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

4 0
3 years ago
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows
Andru [333]
1 euro = 1.35261 USD

The Ruiz family will be able to exchange their euros for US dollar using the rate of $1.35 per 1 euro.


4 0
2 years ago
Read 2 more answers
Can someone please help
vredina [299]
Correct answer is A

Would appreciate brainliest answer :)
4 0
2 years ago
A 12-foot board rests against a wall. The angle that the board makes with the ground is 60°. How far is the base of the board aw
denis-greek [22]

Answer:

A. cos 60° = ; x = 6 feet

Step-by-step explanation:

apex

7 0
2 years ago
Read 2 more answers
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