Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.




The score that cuts off the bottom 2.5% is 48.93.
Answer:
a. 8 outcomes
b. Discrete Variable
c. See explanation below
Step-by-step explanation:
a.
Let N = No Offers made
Let Y = Offers made
The Expected outcome are as follows:
NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY
= 8
b.
Let x = number of offers made
X is said to be discrete if x can take values that are restricted to a defined or limited values
X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)
Looking at the brief description above, we can conclude that x is discrete
c.
NNN, 0
NNY, 1
NYN, 1
YNN, 1
NYY, 2
YNY, 2
YYN, 2
YYY, 3
Where 0 to 3 represents number of offers at every instance
Answer:
D. AC ≅ XZ
Step-by-step explanation:
To prove that two triangles are congruent by the Angle-Side-Angle theorem, both triangles must have two corresponding angles that are congruent to each other in each triangle, and also a corresponding included side in each triangle that are congruent.
Thus, we are given that,
<X ≅ <A and <Z ≅ <C, therefore, what is needed is a corresponding included angle in each triangle that are congruent to each other, which are,
AC and XZ
Therefore, what is needed is:
AC ≅ XZ
The diameter is 24 since if you ÷ it by 2 you get 12 to get area it is radius squared so 12 × 12= 144×pi which is 3.14= 452.16 mm you can even check in a calculator
The answer to the solution of the equation 5x+2y=-1 is 1,-3)