Answer:
x= 1 program
x= $2
Step-by-step explanation:
40-30= 10 <- what she spent
10/5 = 2
5 = Amount of Programs
Each program is $2.
Your welcome :)
Answer: k=3
Step-by-step explanation:
To solve for k, you want to isolate k.
[add both sides by 8]
[multiply both sides by 5/2]
[subtract both sides by 35]
[divide both sides by 5]

Now, we know that k=3.
Answer:
a

b

Step-by-step explanation:
From the question we are told that
The mean value is 
The standard deviation is 
Considering question a
The sample size is n = 9
Generally the standard error of the mean is mathematically represented as

=>
=> 
Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as



=> 
From the z table the area under the normal curve to the left corresponding to 2.5 is

=> 
=> 
Considering question b
The sample size is n = 40
Generally the standard error of the mean is mathematically represented as

=>
=> 
Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to 5.2715 and
=> 
So

=> 
Answer:
x = 10
missing angle = 83°
Step-by-step explanation:
These are supplementary angles meaning they have a sum of 180°.
8x + 3 + 97 = 180
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
x = 10
Substitute the value for the variable.
8(10) + 3
80 + 3
83