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iren [92.7K]
4 years ago
8

How can properties of operations help to generate equivalent expressions that can be used in solving problems ?

Mathematics
1 answer:
svet-max [94.6K]4 years ago
6 0
I’m not the best at math, but ⬇️

For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y
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Everything is in the picture PLEASE HELP me ASAP and I'll give you the BRAINLIEST PLS IM BEGGING ​
anygoal [31]

Answer:

21.5cm²

Step-by-step explanation:

First you find out the Area of the square itself which is 100cm² (squared). Then you Find the Area of the circle. The formula to find the area of a circle is  π  × Radius². So you find the diameter of the circle (which is 10) and divide that by 2 to find the radius. So the radius is 5 but then you need to square 5 which is 25. Then you multiply 25 with pi which is 78.5 so the area of the circle is 78.5cm². Now what you have to do is subtract the area of the square and the area of the circle to find the area of the shaded region. 100-78.5 is 21.5cm ² and that is the answer.

4 0
3 years ago
Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college. You survey 10
neonofarm [45]

Answer: 1.460

Step-by-step explanation:

Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.

Let \mu represents the population mean .

Then, the set of hypothesis will be:-

H_0: \mu=15

H_a:\mu\neq15

We assume that this is normal distribution.

Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.

Sample mean : \overliene{x}=16.2\ lbs

Standard deviation : \sigma=2.6

The test statistic for population mean for small sample is given by :-

t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

t=\dfrac{16.2-15}{\dfrac{2.6}{\sqrt{10}}}=1.45951276623\approx1.460

Hence , the value of test statistic = 1.460

4 0
3 years ago
What so the lines in this equation mean? | x - y |
dlinn [17]

absolute value- absolute value is the distance away from zero it cannot be negative

5 0
3 years ago
Read 2 more answers
A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
Complete the following statement.
solong [7]

Answer:

Hello dude

- 1 \frac{21}{24}  + 1 \frac{22}{24}  =  +  \frac{1}{24}

so it's positive

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

7 0
3 years ago
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