Answer:
x=5.657 y=5.657
Step-by-step explanation:
Answer: 0.000021 in scientific notation is
2.1 × 10-5
Step-by-step explanation:
All numbers in scientific notation or standard form are written in the form
m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.000021 into scientific notation, follow these steps:
Move the decimal 5 times to right in the number so that the resulting number, m = 2.1, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -5
Write in the scientific notation form m × 10n
= 2.1 × 10-5
Therefore,
2.1 × 10-5 is the scientific notation form of 0.000021 number and 2.1e-5 is the scientific e-notation form for 0.000021
** Hope this helps you! Good Luck!
You need to add two mixed numerals.
One is positive and one is negative.
To add a positive number and a negative number, first take the absolute value of both, making them both positive. Then subtract the smaller absolute value from the larger absolute value. Finally, the sign of the answer is the same sign as the number that has the larger absolute value.
The numbers are -4 5/8 and 2 1/8
Take absolute values:
|-4 5/8| = 4 5/8
|2 1/8| = 2 1/8
Subtract the smaller absolute value from the larger absolute value.
4 5/8 - 2 1/8 = 2 4/8 = 2 1/2
The greater absolute value is 4 5/8.
Since the number with the larger absolute value was -4 5/8, a negative number, the answer is negative, -2 1/2
-4 5/8 + 2 1/8 = - 2 1/2
Answer:
a) 48.408
b) 1.235
Step-by-step explanation:
a)
The average hardness value xbar can be computed as
xbar=sum of values/number of values
xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12
xbar=580.9/12
xbar=48.408 (rounded to 3 decimal places).
The average hardness value is 48.408.
b)
The standard deviation hardness value s can be computed as

x x-xbar (x-xbar)
²
46.5 -1.90833 3.64174
46.9 -1.50833 2.27507
49.4 0.99167 0.98340
50.3 1.89167 3.57840
49.8 1.39167 1.93674
48.8 0.39167 0.15340
47.0 -1.40833 1.98340
47.7 -0.70833 0.50174
48.3 -0.10833 0.01174
49.4 0.99167 0.98340
47.8 -0.60833 0.37007
49.0 0.59167 0.35007
Total 16.7692




s=1.235 (rounded to 3 decimal places)
The standard deviation hardness value is 1.235.
Yes because 4x3^x =12^x since the coefficient is added to the answer because it is in the 3.