Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
E(-1, 0) and F(12, 0)
The distance between them is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.
Step-by-step explanation:
Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.
Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.
Test statistic (t) = (sample mean - population mean) ÷ sd/√n
sample mean = 3.24 minutes
population mean = 3.3 minutes
sd = 0.4 minutes
n = 62
degree of freedom = n - 1 = 62 - 1 = 71
significance level = 0.08
t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2
The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654
Conclusion:
Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.
Define natural hazard?
A natural hazard is a natural phenomenon that might have a negative effect on humans and other animals, or the environment. Natural hazard events can be classified into two broad categories: geophysical and biological.
What is the difference between tectonic hazards and weather hazards ?
Tectonic hazards occur when the Earth's crust moves. For example, when the plates move, friction can cause them to become stuck. Tension builds until the plates release, which leads to an earthquake. Climatic hazards occur when a region has certain weather conditions, for example heavy rainfall can lead to flooding.
why do convection currents in the mantle occur?
Heat rising and falling inside the mantle creates convection currents generated by radioactive decay in the core. The convection currents move the plates. Where convection currents diverge near the Earth's crust, plates move apart
Answer:
8
Step-by-step explanation:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
GCF=8
Answer: 1320
Step-by-step explanation:
Given,
HCF of two numbers = 40
Product of two numbers = 52800
To find,
LCM of two numbers =?
Formula required,
HCF × LCM = product of two numbers
Calculation,
Using formula
→ HCF × LCM = product of two numbers
→ ( 40 ) × LCM = 52800
→ LCM = 52800 / 40
→ LCM = 1320
Therefore,
LCM of two numbers would be 1320.
