Answer:
The test statistic is -2.
Step-by-step explanation:
Test statistic (z) = (sample sd - population sd) ÷ sample sd/√n
sample sd = 0.025 inches
population sd = 0.035 inches
n = 25
z = (0.025 - 0.035) ÷ 0.025/√25 = -0.01 ÷ 0.005 = -2
Answer: 14444/10000
Step-by-step explanation:
Answer:
The correct answer is:
r + 0.50 = 10.25: Subtract .50 from both sides. The answer is $9.75.
This is because Juan got a $0.50 raise which means that his new rate will be $0.50 more than his original rate (r).
Answer: G.
Step-by-step explanation: you should divide both sides by 3. 3 divided by 3 is 0, and -12 divided by 3 is -4. therefore, your answer is (0,-4)
Answer:
The width is .16 miles and the length is .3 miles
Step-by-step explanation:
Use the area formula for a rectangle and the fact that the length = .14 + w. Your formula will look like this then:
.048 = w(.14 + w)
Distribute through the parenthesis to get
![.048=.14w+w^2](https://tex.z-dn.net/?f=.048%3D.14w%2Bw%5E2)
Get everything on one side of the equals sign and set the whole equal to 0:
![0=w^2+.14w-.048](https://tex.z-dn.net/?f=0%3Dw%5E2%2B.14w-.048)
Let's multiply everything by 1000 to get rid of those decimals:
![0=1000w^2+140w-48](https://tex.z-dn.net/?f=0%3D1000w%5E2%2B140w-48)
Now we need to factor that to solve for w:
w = .16 and w = -.3
Since the two things in math that will never ever be negative are distance measures and time, we can safely disregard the -.3. That means that the width is .16 and the length is ,16 + .14 which is .3. There you go!