Answer:
<h3>#1</h3>
<u>The system of equations:</u>
- 2x + 7y = -11
- 3x + 5y = -22
Solve by elimination.
<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>
- 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
- 6x + 21y - 6x - 10y = -33 + 44
- 11y = 11
- y = 1
<u>Find x:</u>
- 2x + 7*1 = -11
- 2x = -11 - 7
- 2x = -18
- x = -9
<u>The solution is:</u>
<h3>#2</h3>
<u>Simplifying in steps:</u>
- 8u - 29 > -3(3 - 4u)
- 8u - 29 > - 9 + 12u
- 12u - 8u < -29 + 9
- 4u < -20
- u < -5
SOLUTION
From the given data the mean is 62 and standard deviation is 4
It is required to find the probability that a data value is between 57 and 62
That is:
The z scores is calculated using:
Using the x values it follows:
Also,
Thus the required probability is:
![P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%](https://tex.z-dn.net/?f=P%28-1.25The%20proability%20is%3A%5Btex%5DP%28-1.25This%20can%20be%20expressed%20as%20percentage%20as%3A%5Btex%5DP%28-1.25%5Clt%20z%5Clt0.75%29%3D66.8%5C%25)
Therefore the correct option is C
Answer:
The answer to your question is: 35 yd²
Step-by-step explanation:
To solve this problem, just find the data, the formula, substitute the values in the formula and find the result.
Data
Square yards = ?
Length = 21 ft
Width = 15 ft
Formula
Area of a rectangle = length x width
Substitution
Area of a rectangle = 21 ft x 15 ft
Area of a rectangle = 315 ft²
Area of a rectangle = square yards of carpet
Finally, convert ft² to yd²
315 ft² = 35 yd²
Result
Square yards of carpet = 35 yt²
Answer:
45.9ft/s
Step-by-step explanation:
Simply plug your given value into the function
Step-by-step explanation:
Number of green and white jelly beans
= Number of green + Number of white
= 4 + 2 = 6.
Probability = Number of green and white jelly beans / Total number of jelly beans * 100%
= 6 / (4 + 2 + 5) * 100% = 54.55%.
