Answer:
4,414,000,000
Step-by-step explanation:
4.414x10^9, move the decimal place 9 places to the left.
Answer:
Step-by-step explanation:
Required
Match each expression to their simplified form
1.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Split the fraction in the bracket
Simplify the fraction by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
2.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
3.
Simplify the numerator as thus:
Simplify the denominator as thus:
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
4.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence
Answer:
<FJB = 112°
Step-by-step explanation:
Sum of 3 angles in a triangle = 180
Given:
<FBJ = 32°
<BFJ = 36°
so
<FBJ + <BFJ + <FJB = 180°
32° + 36° + <FJB = 180°
<FJB + 68° = 180°
<FJB = 180° - 68°
<FJB = 112°
Answer:
Step-by-step explanation:
Given that a data set includes 109 body temperatures of healthy adult humans for which sample mean =98.2°F and s equals 0.62 degrees
Std error of mean =
df = 108
Critical value for 99% t =2.581
Margin of error = 2.581*std error = 0.1533
99% confidence interval = Mean ±0.1533
=
a) Since the confidence interval does not contain 98.6 degrees we reject the null hypothesis that mean = 98.6 degrees
b) confidence interval for population mean = 98.6±0.1533
=