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m_a_m_a [10]
2 years ago
7

a dragonfly can beat its wing 30 times per second. write an equation in slope intercept from that shows the relationship between

flying time in seconds and the number of times the dragonfly beats its wing
Mathematics
1 answer:
Lemur [1.5K]2 years ago
4 0
Let Y be amount of times beat
let X be amount of time in seconds
the slope intercept form is y=mx+b
fill in the variables: y=30x
The correct answer is y=30x
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Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes bel
Ann [662]

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7709

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02

The margin of error for a 90% confidence interval when n = 45 is 10.02.

3 0
2 years ago
What’s the product (6r-1)(-8r-3)
Elena-2011 [213]

\text{Use FOIL method}\ (a+b)(c+d)=ac+ad+bc+bd.\\\\(6r-1)(-8r-3)=(6r)(-8r)+(6r)(-3)+(-1)(-8r)+(-1)(-3)\\\\=-48r^2-18r+8r+3=\boxed{-48r^2-10r+3}

4 0
2 years ago
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Josie read 40 pages of a book in 50 minutes. How many pages could she read in two hours?​
pav-90 [236]

Answer:

96

Step-by-step explanation:

3 0
2 years ago
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If y = 2x2 – 4x, what is the value of y when x equals 5. <br> A.10 <br> B.30 <br> C.80 <br> D.480
Ainat [17]

Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x             x = 5

y = 2(5)² - 4(5)        Plug 5 in for x

y = 2(25) - 20         Square 5 and multiply 4 by 5

y = 50 - 20             Multiply 2 by 25

y = 30

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

6 0
3 years ago
A belouga whale is 5 yards and 3 inches long and a gary whale is 15 yards and 5 incheslong
belka [17]

Answer:

10 yards 2 inches

Step-by-step explanation:

15 yd 5 in - 5 yd 3 in =

10 yards and 2 inches

8 0
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