Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than
cm or longer than
cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Answer:
Step-by-step explanation:
Let the smallest number = x
The next number will be x + 1
x + x + 1 = 5
2x + 1 = 5 This is likely the answer to the question although it could be the equation above.
Answer:
a. 20x > 10x + 80
b. •20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Step-by-step explanation:
10x + 80 = number of seashells Pilar has.
20x = number of seashells Marisol has.
answer for a: 20x > 10x + 80
answer for b: 20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
To solve this problem you must apply the proccedure shown below:
1. You have the following ratio given in the problem above:
11:1
2. You can rewrite that ratio as below:
11/1=11
3. Then, to find three equivalent ratios, you only need to multiply the numerator (11) and the denominator (11) by the sam number. Therefore, you have:
11x2/1x2=22/2=11
11x3/1x3=33/3=11
11x4/1x4=44/4=11
Therefore, as you can see, the answer is:
22:2
33:3
44:4