Answer:
Step-by-step explanation:
Researchers measured the data speeds for a particular smartphone carrier at 50 airports.
The highest speed measured was 76.6 Mbps.
n= 50
X[bar]= 17.95
S= 23.39
a. What is the difference between the carrier's highest data speed and the mean of all 50 data speeds?
If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps
b. How many standard deviations is that [the difference found in part (a)]?
To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation
Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations
c. Convert the carrier's highest data speed to a z score.
The value is X= 76.6
Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51
d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.
I hope it helps!
Answer:
Step-by-step explanation:
Let's examine the following general product of two binomials with variables x and y in different terms:
so we want the following to happen:
Notice as well that 
means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product 
, then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that 
are positive.
We can then try combinations for such as:
Just by selecting the first one 
we get that 
and since
This quadratic equation give as one of its solutions the integer: d = -2, and consequently,
Now we have a good combination of parameters to render the factoring form of the original trinomial:
which makes our factorization:
1 1/2 divided by 1 1/6 equals 1.28571429
Rounded: 1.28, 1.29, or 1.30 (depends on what they ask for)
3/4 divided by 1 3/8 equals 0.54545455
Rounded: 0.54 or 0.55
The area of the triangle is given as: ≈ 70.50cm²
<h3>What is the explanation to the above solution?</h3>
Area of shaded region = Area of the sector less Area of the Triangle.
This is represented as:
π r² (∅/360) - 1/2 x b x h
= π x 14² x (46/360) - (1/2) x 14 x 10.0708
= 78.6794 - 70.4956
= 8.1838 cm²
Hence, the area of the triangle is (1/2) x 14 x 10.0708
= 70.4956 cm²
Learn more about Area of Triangle at:
brainly.com/question/23945265
#SPJ1
