The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds. a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds. Your answer is . Round to 3 decimals and keep '0' before the decimal point. b. Find the probability that a randomly selected turkey weighs below 12 pounds. Your answer is . Round to 3 decimals and keep '0' before the decimal point.
Answer:
a. 0.443
b. 0.023
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.
This means that [tex]\mu = 22, \sigma = 5[/tex]
a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds.
This is the pvalue of Z when X = 26 subtracted by the pvalue of Z when X = 20. So
X = 26
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 22}{5}[/tex]
[tex]Z = 0.8[/tex]
[tex]Z = 0.8[/tex] has a pvalue of 0.788
X = 20
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 22}{5}[/tex]
[tex]Z = -0.4[/tex]
[tex]Z = -0.4[/tex] has a pvalue of 0.345
0.788 - 0.345 = 0.443
The answer is 0.443
b. Find the probability that a randomly selected turkey weighs below 12 pounds.
This is the pvalue of Z when X = 12. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{12 - 22}{5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.023
The answer is 0.023.
Grandma has 4 bags of soil for her flower pots each flower pot needs 3/4 of a bag of soil how many flower pots can she fill
Answer:
she can fill 5 pots and have 1/3 bag left over
Step-by-step explanation:
What is 1/12÷5 ? Please answer quickly due today
Answer: 1/12 ÷ 5 is 1/60.
Step-by-step explanation: When you divide, you need to find the reciprocal of the second term. The reciprocal of 5 is 1/5. Then, switch the sign from division to multiplication. 1/12 × 1/5 is 1/60.
hi can you please help me with my work
Answer:
The answer is 3 1/2 inches!
Step-by-step explanation:
sin 2A = sinA is true when A=?
Solve using the square root property
x2 - 12 = 0
Please help me ! Please !
Answer:
a
Step-by-step explanation:
Answer:
(x+11)(x-11)
Step-by-step explanation:
Rewrite 121 as 11².
11²-x²
Since both terms are perfect squares, factor using the differences of squares formula, a²-b²=(a+b)(a-b) where a=11 and b=x.
(11+x)(11-x)
A kangaroo can jump 6 times the length of its body. For a kangaroo that is 5 feet long, how many feet can it jump? *
Answer:
30feet
Step-by-step explanation:
5 x 6 =30
ffvvbb
tggvbvvnvcvbb
Answer:
Step-by-step explanation:
30, because 6x5 = 30 <33
GL!
solve the
Pi
Simultaneous equation
using elimination
3x+2y=2
2x+2y =-7
Answer:
x= 9
y=-12.5
Step-by-step explanation:
3x+2y = 2×2
2x+2y =-7×3
6x+4y =4
- 6×+6y =-21
-2y =25
y=-12,5
2x+2(-12,5)= -7
2x+-25= -7
2x= -7+25
2x/2=18/2
x= 9
There are 36 students in a class, 10 girls and 26 boys. What is the probability of picking a boy out of the class and how likely is it that a boy would be chosen?
Answer:
13/18
Step-by-step explanation:
P(Picking a boy)=26/36=13/18
In the triangle below, which equation can be used to solve for x?
Answer:
triangle VUW
angle V=75 degrees
angle U= 50 degrees
side VU= 13 ft
Step-by-step explanation:
Solve the equation. C- 12 = -16
Answer:
C = - 4
Step-by-step explanation:
C-12 = - 16
C = - 16+12
C=-4
*negetive bring to another side is positive
find the derivative: y={ (3x+1)cos(2x) } / e^2x
Answer:
[tex]\displaystyle y' = \frac{3cos(2x) -2(3x + 1)[sin(2x) + cos(2x)]}{e^{2x}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Quotient Rule: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[cos(u)] = -u'sin(u)[/tex]
eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{(3x + 1)cos(2x)}{e^{2x}}[/tex]
Step 2: Differentiate
[Derivative] Quotient Rule: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - \frac{d}{dx}[e^{2x}](3x + 1)cos(2x)}{(e^{2x})^2}[/tex][Derivative] [Fraction - Numerator] eˣ derivative: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{(e^{2x})^2}[/tex][Derivative] [Fraction - Denominator] Exponential Rule - Powering: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] Product Rule: [tex]\displaystyle y' = \frac{[\frac{d}{dx}[3x + 1]cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] Basic Power Rule: [tex]\displaystyle y' = \frac{[(1 \cdot 3x^{1 - 1})cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] (Parenthesis) Simplify: [tex]\displaystyle y' = \frac{[3cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] Trig derivative: [tex]\displaystyle y' = \frac{[3cos(2x) -2sin(2x)(3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] Factor: [tex]\displaystyle y' = \frac{e^{2x}[(3cos(2x) -2sin(2x)(3x + 1)) - 2(3x + 1)cos(2x)]}{e^{4x}}[/tex][Derivative] [Fraction] Simplify [Exponential Rule - Dividing]: [tex]\displaystyle y' = \frac{3cos(2x) -2sin(2x)(3x + 1) - 2(3x + 1)cos(2x)}{e^{2x}}[/tex][Derivative] [Fraction - Numerator] Factor: [tex]\displaystyle y' = \frac{3cos(2x) -2(3x + 1)[sin(2x) + cos(2x)]}{e^{2x}}[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
Can someone help me please, ASAP!! Thank you!
How to convert 12/25 to a decimal number.
Step-by-step explanation:
0.48 is the decimal form of 12/25
Answer:
0.48
Step-by-step explanation:
First you have to...
make the denominator to 100
25×4=100
multiply the numerator with that same number
12×4=48
So, it becomes...
48/100
And now you can convert it to a decimal number...
48/100= 0.48
Hope it helps you!!!
Find the perimeter of the following shape please I’ll give Brainly
Answer:
33 is the p
Step-by-step explanation:
Answer:
the perimiter of the shape is 36in
Match the expression with its name. 9X4 - 3x + 4
A. cubic binomial
B. quadratic monomial
C. not a polynomial
D. fourth-degree trinomial
Answer: D
Step-by-step explanation:
is 2/6 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
good luck, i hope this helps :)
Question
The figure shows the dimensions of two city parks, where ARST XYZ and YX YZ.A city
employee wants to order new fences to surround both parks. What is the total length of the fences
required to surround the parks?
R
х
230 ft.
T
Z
S
350 ft.
Y
The total length of fences needed to surround the parks is
feet.
Answer:
1860
Step-by-step explanation:
The triangles are reflections of each other and since YX=YZ we know that YZ=350
add 350+350+230=930
930×2=1860 - for both parks
ILL GIVE 50 POINTS AND BRAINLIEST!!!
A business assistant must leave more than $50 in the supply account. There is $175 in the account. The assistant needs to order x boxes of pens that cost $6.50 each.
What is the maximum number of boxes of pens the business assistant can buy? Please show your math work and justify your answer.
Find the volume of the pyramid below.
5.6 ft :
6 ft
3 ft
Answer:
this is the final answer
thankyou
Step-by-step explanation:
V=lwh
3
In a chemistry experiment, the temperature of a gas, in degrees Celsius, followed this pattern. Which of these expressions describes the pattern?
Answer:
Pretty sure its B.
Step-by-step explanation:
i feel like its B because the temperature, (t), subtracts 15 every second.
If sin(x) = 0.4, then what is tax (x)?
Answer:
0.43
Step-by-step explanation:
x = sin^-1(0.4)
x = 23.57
tan(23.57) = 0.436
help help help help
thanks
Answer:
3, each number is being multiplied by a factor of 3
Pl help it’s for a grade
A.
Hope this helps. :))))
Find the slope and the y-intercept of the line.
y= -5/4x+5
My question: Is the slope -5/4 and the y-intercept 5?
Answer:
yes, it is
Explantion:
slope intercept form: y=mx+b
y=-5/4+5
b= y-intercept which in this equation is 5
mx=slope which is -5/4
please help me the first person gets brainlest
Answer:
“Help with what?“
Step-by-step explanation:
Answer:
did you forget the pic?
Step-by-step explanation:
7 copies of the sum of 8 fifths and 4
Answer:
39 1/5 or 39.2Step-by-step explanation:
Sum of 8 fifths and 4:
8/5 + 4 = 1 3/5 + 4 = 5 3/57 copies of the of sum of 8 fifths and 4:
7 × 5 3/5 =7( 5 + 3/5) = 35 + 7(3/5) = 35 + 21/5 = 35 + 4 1/5 = 39 1/5 or 39.2The coordinates of the vertices of a polygon are shown below.M(–1, 3), N(–4, 0), O(–1, –3), P(3, –3), Q(4, 0), R(3, 3)What type of polygon is this figure? heptagon hexagon octagon quadrilateral
Answer:
Step-by-step explanation:
The six points are shown on the graph. I think I've put them in correctly.
There are 6 sides to this figure. So this is a hexagon. It is not a regular hexagon. You can print the figure out to convince yourself that it is a hexagon.
Answer:
hexagon
Step-by-step explanation:
8+y=18 как решить уравнения
Answer:
y=10
Step-by-step explanation:
8+y=18
(-8)
y=10
!!!!!!!!!!!
Answer:
ответ :y=10 я поставил объяснение