Answer: 12.5
Step-by-step explanation:
To find an average add up all of the values and divide by how many there are so to do this we add 12+13 to get 25 and there are 2 values so we divide by 2 to get 12.5
Answer:
If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 15
Standard Deviation, σ = 1
Sample size = 4
Total lifetime of 4 batteries = 40 hours
We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
We have to find the value of x such that the probability is 0.05
P(X > x) = 0.05
Calculation the value from standard normal z table, we have,
Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
Answer ∠DEG: 54°
Answer ∠GEF: 36°
Step 1: Write your equation
This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.
6x+4x=90
Step 2: Solve for x
To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.
6x+4x=90
10x=90
x=9
Step 3: Substitute x to find the degree of each angle
The last step will be the most simple. Substitute x into each angle to solve.
6x= 6(9) = 54°
∠DEG= 54°
4x= 4(9)= 36°
∠GEF= 36°
These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.
Hope this helps! Comment below for more questions.
Answer: $70.49
Step-by-step explanation:
Cost of gasoline = $2.75 per gallon
Cost of diesel fuel = $3.02 per gallon.
Since Gabriel needs to purchase 15.2 gallons of gasoline for his truck, the amount spent on gasoline will be:
= 15.2 × $2.75
= $41.80
Since he needs to spend 9.5 gallons of diesel fuel for his tractor, the amount spent on diesel fuel will be:
= 9.5 × $3.02
= $28.69
Total cost spent will be:
= $41.80 + $28.69
= $70.49