Answer:
Fifty more than half the number of the oranges is one-hundred-and-twenty.
The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
Step-by-step explanation:
The equation is 50 + one-half m = 120.
Assume the number of oranges=m
50+1/2m=120
1/2m=120-50
1/2m=70
m=70÷1/2
=140
All statement that applies includes:
1. Fifty more than half the number of the oranges is one-hundred-and-twenty.
50+1/2m=120
2. The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
50+1/2m=120
Martha can use the two statements above to communicate the correct equation
Answer:
Given:
x-y=-4
2x+y=4
Step-by-step explanation:
x-y=-4
2x+y=4
add both the equation, we get
⇒ x-y=-4
2x+y=4
⇒3x=-4+4
⇒3x=0
⇒x=0
∴ to find the value of y, put the value of x in any one equation
⇒x-y=-4
⇒0-y=-4
⇒-y=-4
⇒y=4
∴ x=0, y=4
Answer:
c. [1.771;4.245] feet
Step-by-step explanation:
Hello!
The variable of interest is
X: height of a student at UH
X~N(μ;σ²)
You have to estimate the population standard deviation using a 95% confidence interval.
The statistic to use for the interval is a student Chi-Square with n-1 degrees of freedom. First you have to calculate the CI for the population variance:
![[\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28n-1%29S%5E2%7D%7BX%5E2_%7Bn-1%3B1-%5Calpha%20%2F2%7D%7D%20%3B%5Cfrac%7B%28n-1%29S%5E2%7D%7BX%5E2_%7Bn-1%3B%5Calpha%20%2F2%7D%7D%20%5D)


n=12
S= 2.5
![[\frac{11*6.25}{21.920} ;\frac{11*6.25}{3.816}} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B11%2A6.25%7D%7B21.920%7D%20%3B%5Cfrac%7B11%2A6.25%7D%7B3.816%7D%7D%20%5D)
[3.136; 18.016] feet²
Then you calculate the square root of both limits to get the CI for the population standard deviation:
[√3.136; √18.016]
[1.771;4.245] feet
I hope this helps!
Answer:
32 hours.
Step-by-step explanation:
Let x represent the time taken by Russell and Aaron to build the shed.
We have been given that Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel.
Russell's work rate would be
.
Since Aaron works three times as fast as Russel, so Aaron's work rate would be
.
Part of work done by in one hour would be
.
We can represent our given information in an equation as:

Let us solve for x.




Therefore, it will take Russell 32 hours to build the shed working alone.
This is a classic order of operations question
I always remember order of operations as PEMDAS, or
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
That is the order to do items, from left to right. Multiplication and decision take place at the same time, as do addition and subtraction
So lets look at your problem: 6 • (4 + 2)² – 32
The first thing to do is what is in the parentheses, the 4 + 2
6 • (6)² – 32
The 2nd thing is the exponent
6 • 36 – 32
Next we do the multiplication
216 - 32
And finally the subtraction, leaving us with
184