Answer:
StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction
Step-by-step explanation:
Apparently you want to simplify ...
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
(a^b)^c = a^(bc)
__
So the expression simplifies as ...
Answer:
see explanation
Step-by-step explanation:
Given
- 
[ - 
c + 6c + 1 ] - 3c
Distribute the square bracket by -
= 
c - 3c - - 3c ← combine like terms
= c - 6c -
= c - 
c -
= - 
c -
The experimental probability of getting a multiple of 3 is 
.
Given that, Angelique throws a different six-sided dice 120 times.
<h3>What is Probability in maths?</h3>
Probability denotes the possibility of something happening. It's a field of mathematics that studies the probability of a random event occurring. From 0 to 1, the value is expressed. Probability is a mathematical concept that predicts how likely occurrences are to occur.
We know that, 
Number of favourable outcomes =21+24=45
Total number of outcomes = 120
Probability of getting a multiple of 3=
Therefore, the probability of getting a multiple of 3 is .
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At 0.01 significance level the hypothesis is rejected.
Null Hypothesis (H₀): The sample data occurs purely from chance.
Alternative Hypothesis (H₁): The sample data is influenced by some non-random cause.
If the p-value of the hypothesis test is less than some significance level (e.g. α = .01), then we can reject the null hypothesis and conclude that we have sufficient evidence to say that the alternative hypothesis is true.
Given that,
x = 28
s = 2.9
μ = 31
n = 8
α = 0.01
Then, the Null Hypothesis : H₀ = 31
The Alternate Hypothesis : H₁ < 31
The average number of cigeratte smoker per day is less than 31.
Test Statistics:
t = x -μ / s√n
= 28 - 31/ 2.9√8
= -3/ 8.41
= -0.356
Since the p-value of 0.0046 is less than the significance level of 0.01, the auditor rejects the null hypothesis.
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Answer:
Linear pair
Step-by-step explanation:
<1 and <2 lie on a straight line.
Angles that lie on a straight line are considered as linear pair angles.
Linear pair angles sum up to 180°, which is the measure of a straight line angle.
