Use technology or a z-score table to answer the question.The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.
Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?
Answers
Answer: 46%
Step-by-step explanation:
Since the number of baby carrots in a bag is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of baby carrots in the bag.
µ = mean
σ = standard deviation
From the information given,
µ = 94 carrots
σ = 8.2 carrots
The probability that a bag of baby carrots have between 90 and 100 carrots is expressed as
P(90 ≤ x ≤ 100)
For x = 90,
z = (90 - 94)/8.2 = - 0.49
Looking at the normal distribution table, the probability corresponding to the z score is 0.31
For x = 100,
z = (100 - 94)/8.2 = 0.73
Looking at the normal distribution table, the probability corresponding to the z score is 0.77
Therefore,
P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46
The percent of the bags of baby carrots that have between 90 and 100 carrots is
0.46 × 100 = 46%
Related Questions
How many solutions does x^2 - 2x +1 = O have?
Factor 360t + 10t3 - 120t2. answer chocies:a. 10t(t - 6)(t + 6) b. 10t(t - 6)2 c. -10t(t - 6)(t + 6)
Expand: (b + 2)(b - 4)
-x-y=11convert from standard form to slope intercept form
Answers
Can you take the quantity [ x + 2y ] and square it ?
Then you should have no trouble with the square of (.9x + .8y) .
The square of any binomial (expression with 2 terms) is
(square of the first term)
+ (square of the second term)
+ 2 times (product of the terms) .
Answers
H
H=kL
when L=2, H=2k
Answers
Answer:
m∠TYW = 93°
Step-by-step explanation:
When naming anangle, the three letters used in the name represent specific points or vertices that define the angle. Each letter has a distinct meaning:
- First Letter (Initial Point): This represents the starting point for one of the rays or line segments that form the angle.
- Second Letter (Vertex): This represents the point where the two rays or line segments that form the angle meet.
- Third Letter (Terminal Point): This represents the terminal point, which is the endpoint for the other ray or line segment that forms the angle.
Therefore, the angle named "VYU" refers to an angle that starts at point V, has a vertex at point Y, and ends at point U. This is shown on the attached diagram in red. Given m∠VYU = 93°:
- m∠VYU = m∠6 = 93°
The angle named "TYW" refers to an angle that starts at point T, has a vertex at point Y, and ends at point W. This is shown on the attached diagram in blue.
- m∠TYW = m∠4
Assuming that lines TU and VW are straight lines, ∠6 and ∠4 are vertically opposite angles.
According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.
Therefore, ∠4 ≅ ∠6, so:
- m∠TYW = m∠VYU
As m∠VYU = 93°, then m∠TYW = 93°.
Answer:
VYW and TYW are opposite interior angles and thus have the same value of 93 deg.
Answers
5²+12²=13²
B) natural numbers
C) irrational numbers
D) integers
Answers
The whole number are the natural numbers plus 0: 0, 1, 2, 3, . . .
The irrational numbers are the numbers which cannot be expressed in the form a/b where a and b are integers. They are usually in the form of a non recurring and non terminating decimals.
The integers complices of both the negative and the positive whole numbers.
In winter, the temperature of Alaska usually drop to negative numbers.
Therefore, the set of numbers is the most reasonable to describe the temperature in alaska during the winter is the set of integers.
Answer:
the set of numbers is the most reasonable to describe the temperature in Alaska during the winter is the set of integers.
Step-by-step explanation:
Answers
if width times length equals the area, then...
W x (3+W)=40
Length = 8
Width = 5
I started by factorising 40:
2, 2, 2, 5.
Then you just find a way to arrange those numbers that works
width=x
length=x+3
we can suggest this equation:
x(x+3)=40
x²+3x=40
x²+3x-40=0
we solve this square equation:
x=[-3⁺₋√(9+160)] / 2
x=(-3⁺₋13)/2
we have two solutions:
x₁=(-3-13)/2=-8 this solution isn´t valid.
x₂=(-3+13)/2=5
lenght=x+3=5+3=8
Answer: the lenght, in inches, of the rectangle is 8 .
(2) 8