a=2c+40 z=2c+142 x=2c+165 b=c+82 y=c-20
14+2c+40+2c+142+2c+165+c+82+c-20=1203
c=86 2/3
y=66 2/3
b=168 2/3
x=338 1/3
z=315 1/3
a=213 1/3
Answer:
Step-by-step explanation:
1a. -3 * -4 = 4 * 3
b.7(4+11) = 7(4) + 7(11)
c.6(7-4) = 6(3) - (0) *4
d. -2(6*(-5)) = -2*6*(-5)
2a.-60+4 = -56 = 50
b.-20 / 3 = 6.6 = 6.0 = 6
c. 2.4 = 2.0 = 2
d. 47.19 =40.00 = 40
e. 35.624+ (-4.17) = 31.454 =30.000 = 30
A pendulum that swings fully once in 1.9 seconds has a length of 2.93 feet.
<h3>What is the length of a pendulum?</h3>
A basic pendulum is a machine in which the point mass is hung from a fixed support by a light, inextensible string.
Length of pendulum is defined as the distance between the point of suspension to the center of the bob and is denoted by " 1 ".
Given the equation:
![$$T=2 \Pi \sqrt{\frac{L}{32}}$$](https://tex.z-dn.net/?f=%24%24T%3D2%20%5CPi%20%5Csqrt%7B%5Cfrac%7BL%7D%7B32%7D%7D%24%24)
where L is the length in feet and T is the time in seconds.
Given that T = 1.9sec,
Hence:
![$$T=2 \Pi \sqrt{\frac{L}{32}}$$](https://tex.z-dn.net/?f=%24%24T%3D2%20%5CPi%20%5Csqrt%7B%5Cfrac%7BL%7D%7B32%7D%7D%24%24)
L = 2.93 feet
A pendulum that swings fully once in 1.9 sec has a length of 2.93 feet.
Learn more about Length of a pendulum here: brainly.com/question/8168512
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Answer:
12 b=1
Step-by-step explanation:
It makes sense with what the question asked
<h3>
Answer: 6/7</h3>
This approximates to roughly 6/7 = 0.8571
========================================================
Explanation:
Let's define the following
- A = number of people who passed the test, and did the hw
- B = number of people who passed the test, but didn't do the hw
- C = number of people who failed the test, but did the hw
- D = number of people who failed the test, and didn't do the hw
There are 30 students in the class total. This must mean A+B+C+D = 30.
We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.
We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).
This means:
A+B+C+D = 30
(A+B)+C+D = 30
(21) + C + 7 = 30
C+28 = 30
C = 30-28
C = 2
We have 2 people who failed the test, but did the hw.
Because 20 students did the hw, we know that
A+C = 20
A+2 = 20
A = 20-2
A = 18
We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.
The probability we're after is therefore:
18/21 = (3*6)/(3*7) = 6/7
Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.