Answer:
The value of the sum of n and -1=5
Step-by-step explanation:
Step 1
Get the value of n using the equation below;
The sum of n and 4 is 10 can be expressed in equation form as follows;
n+4=10...equation 1
solving for n;
n=10-4
n=6
The value for n=6
Step 2
Express the sum of n and -1 as follows
n+(-1)=unknown...equation 2
using the value of n solved in equation 1 in equation 2
replace using;
n=6
6+(-1)=6-1=5
The value of the sum of n and -1=5
Answer:
x = 33
Step-by-step explanation:
these two angles are a linear pair, they form a straight line
there are 180 degrees in a straight line
so you can add each expression and have sum equal 180
2x-18 + 4x = 180
6x - 18 = 180
6x = 198
x = 33
Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
For this problem, these parameters are given as follows:

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the <u>p-value of Z when X = 177.5</u>, hence:

By the Central Limit Theorem:


Z = -0.79
Z = -0.79 has a p-value of 0.2148.
There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.
More can be learned about the normal distribution at brainly.com/question/28135235
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Answer:

Step-by-step explanation:
