Answer:
G = 46 degrees
Step-by-step explanation:
Here, we want to find the measure of angle G
Mathematically, as we can see, what we have is a right triangle
For a right triangle , the sum of angles is 90 degrees
Thus, if we add the two internal angles, we get 90 degrees
Hence;
44 + G = 90
G = 90-44
G = 46 degrees
Answer:
Z=±1.65
Step-by-step explanation:
Some previous concepts
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".
The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"
The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"
System of hypothesis
Null hypothesis: 
Alternative hypothesis: 
If the random variable is distributed like this: 
The significance level provided is
and the value of
.
Since we are conducting a bilateral test, then we have two critical values. We need to find two quantiles that accumulates 0.05 of the area on the tails of the normal standard distribution. And in order to find it we can use the following excel codes:
"=NORM.INV(0.05,0,1)" , "=NORM.INV(1-0.05,0,1)"
And we got this:
and 
So the correct answer for this case is:
Z=±1.65
Answer:
The answer is 12
Step-by-step explanation:
36/9 = 4
4 x 3 = 12
<span>The total number (n) = 28. This includes the number of cats (c) and the number of dogs (d), which is three times the number of cats. Therefore n = c + d and 28 = c + 3c. 28 = 4c. C = 28/4. C = 7. Kim trained 7 cats.</span>
Answer:
A figure moving up, a figure moving left, and a figure moving down.
Step-by-step explanation:
Translations are just moving things around in any direction.