Answer:
64=4(a-44)
Step-by-step explanation:
64=4(a-44)
64=4a-176
64+176=4a
240=4a
4a=240
a=240/4
a=60 years old
Answer:
x = 10
Step-by-step explanation:
2) -3x + 17 = -x - 3
4) 20 = 2x
1) -3x + 12 + 5 = -x -3
5) 10 = x
3) 17 = 2x - 3
<u>-3(x - 4) + 5 = -x - 3</u>
<u>-3x + 12 + 5 = -x - 3</u>
<u>-3x + 17 = -x -3</u>
<em>+3x +3x</em>
<u>17 = 2x - 3</u>
<em>+3 + 3</em>
<u>20 = 2x</u>
<u>10 = x</u>
<u />
I hope that this helps! :)
Answer:
-3mn
Step-by-step explanation:
It seems you might be missing some of the question, as you haven't given what m and n are equal to.
If the question has just given you x, then you would simply just simplify it to get -3mn.
Answer:
![\mu -2\sigma = 24-2*3= 18](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024-2%2A3%3D%2018)
![\mu -2\sigma = 24+2*3= 30](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024%2B2%2A3%3D%2030)
So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case
Step-by-step explanation:
For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:
![X \sim N(\mu = 24, \sigma =3)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%28%5Cmu%20%3D%2024%2C%20%5Csigma%20%3D3%29)
And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:
![\mu -2\sigma = 24-2*3= 18](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024-2%2A3%3D%2018)
![\mu -2\sigma = 24+2*3= 30](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024%2B2%2A3%3D%2030)
So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case
Answer:
18.28 m
Step-by-step explanation:
Given the flower garden in the question :
The shape is composite and can be divided into 2 semicirles and rectangle
The perimeter of a semicircle is the Circumference of the semicircle = πr
Hence, 2 semicirles = 2πr
Radius of semicircle = 2/2 = 1
Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m
The perimeter of rectangle; length and width are 6m and 2 m respectively :
Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m
Tve perimeter of garden = 6.28 + 12 = 18.28 m