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4 years ago

11

a dragonfly can beat its wings 30 times per second. write an equation in slope-intercept form that shows the relationship betwee

n flying time in seconds and the number of times that dragonfly beats its wings

1 answer:

Advocard [28]4 years ago

3 0

Based off of my understanding, it doesn’t have a y intercept, so it should just be
y = 30x.

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1. Three apples, a, and two peaches, p, sell for $1.25.

Simora [160]

Answer:

$0.25

Step-by-step explanation:

You can use systems of equations to solve this.

3a+2p = 1.25

5a+p = 1.5

Multiply the second equation by 2.

3a+2p = 1.25

10a+2p = 3

Subtract the bottom from the top

-7a= -1.75

Divide by -7

a= 0.25

Each apple is $0.25 (in this case, the peach also costs $0.25)

5 0

3 years ago

Make a subject of r = square root of a / 3

hodyreva [135]

Multiply both sides by 3 to get:

3r = sqrt(A)

Square both sides:

9r^2 = A

4 0

3 years ago

A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural freq

oksano4ka [1.4K]

Answer:

$Lower = 231.134- 3.098=228.036$

$Upper = 231.134+ 3.098=234.232$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n=5 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case we know that the 95% confidence interval is given by:

$\bar X=\frac{233.002 +229.266}{2}= 231.134$

And the margin of error is given by:

$ME = \frac{233.002 -229.266}{2}= 1.868$

And the margin of error is given by:

$ME= t_{\alpha/2} \frac{s}{\sqrt{n}}$

The degrees of freedom are given by:

$df = n-1 = 5-1=4$

And the critical value for 95% of confidence is $t_{\alpha/2}= 2.776$

So then we can find the deviation like this:

$s = \frac{ME \sqrt{n}}{t_{\alpha/2}}$

$s = \frac{1.868* \sqrt{5}}{2.776}= 1.506$

And for the 99% confidence the critical value is: $t_{\alpha/2}= 4.604$

And the margin of error would be:

$ME = 4.604 *\frac{1.506}{\sqrt{5}}= 3.098$

And the interval is given by:

$Lower = 231.134- 3.098=228.036$

$Upper = 231.134+ 3.098=234.232$

6 0

3 years ago

The sum of two numbers is 840. One of the numbers is 357. What is the other number?

Ksivusya [100]

We can create a formula first.

X will be the unknown number

840= 357+x
-357 -357

483 = x

Hope this helps

7 0

3 years ago

Read 2 more answers

Quadratic equation

Murrr4er [49]

Answer:

<h2> 46</h2>

Step-by-step explanation:

x - age of a son three years ago

3x - age of a father three years ago

x + 3 - age of the son now

3x + 3 - age of the father now

x + 3 + 5 - age of the son in five years time

3x + 3 + 5 - age of the father in five years time

in five years time, the father will be twice as old as his son, so:

3x + 3 + 5 = 2(x + 3 + 5)

3x + 8 = 2x + 16

3x - 2x = 16 - 8

x = 8

x + 3 + 4 - age of the son in four years time

8 + 3 + 4 = 15

3x + 3 + 4 - age of the father in four years time

3×8 + 3 + 4 = 31

the sum of their ages in four years time:

15 + 31 = 46

8 0

3 years ago