1.4375
<u>Step-by-step explanation:</u>
Step 1:
Let the given equation be 
To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.
Step 2:
Let us expand the equation as 
Step 3:
Let us expand it further as 
Step 4:
To find X segregate X in one side and all other remaining terms in other side as follows

After the simplification the numerical value is

Step 5:
Keep X along one side and bring 48 to the denominator of another side to find X as follows

And the value of X is 1.4375
Answer:
102
Step-by-step explanation:
We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:
z = (x - m) / sd
In the first case x = 148:
z = (148 - 128.5) /8.2
z = 2.37
In the second case x = 102:
z = (102 - 128.5) /8.2
z = -3.23
In the first case x = 152:
z = (152 - 128.5) /8.2
z = 2.86
The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.
Answer:
<h2>a) approximately 133 graduates</h2><h2>b) approximately 120°</h2>
Step-by-step explanation:
a) the number of graduates planning to continue studying :
= (37 1/2% + 12 1/2% + 16 2/3%) × 200

= (37.5 + 12.5 + 16.666666666667)×2
= 133.333333333334
…………………………………
b) the measurement of the angle representing those who plan to work :
= (360× 33 1/2)÷100
= (360× 33.333333333333)÷100
=119.999999999999
Answer:
96,000
Step-by-step explanation:
To round to the nearest thousand, we need to look at the digit in the hundreds place, which is 6. Since 6 > 5, we know that we need to round up (because 6 is closer to 10 than it is to 0). Currently, the number is 95 thousand so when rounding up, the answer will be 96,000.