Answer:
X = 28
Step-by-step explanation:
The angle is 90 degrees in total and one portion of the angle is 62 degrees
You subtract the 62 degrees from the 90-degree angle to figure out the other unknown portion of the angle
90 - 62 = 28
Answer: y = (1 - 0.527)^t
Step-by-step explanation:
y=e^(-0.75t)
y=(e^-0.75)^t
y= 0.47236655^t
1 - 0.47236655 = 0.52763345
y = (1 - 0.527)^t
There is actually 2 ways to solve this, I will show you both.
The first is obvious, solve for x in the first one, and plug it into the 2nd one and get the answer
4x + 7 = 12
4x = 5
x = 
8() + 3
2 * 5 + 3
10 + 3
13
The 2nd option is to manipulate the 4x + 7 to be 8x + 3
4x + 7 = 12
start by moving the 7 over
4x = 5
multiply both sides by 2
8x = 10
and add 3 to both sides
8x + 3 = 13
For solving this question we will use the relationship between the range of data and the spread of data. The relationship is that "Higher the Range of the Data, Higher is the Spread and lower the range of the data then lower is the spread".
So, keeping in mind this definition let us proceed and check each option and measure their range.
We know that Range is measured as
Range=(Highest Value of the Data)-(Lowest Value of the Data)
a. 13.7-3.1=10.6
b. 423.6-1.3=422.3
c. 38.4-7.2=31.2
d. 231.4-5.5=225.9
As we can see Option b. has the largest range and as range is a measure of spread then option b is the distribution which has the largest spread.
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
