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.
if the spinner is spun twice what is the probability that the spinner will stop on a vowel then a consonant?
Answer:
1/9 is correct
1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.
true or false please help thank you
Answer:
True.
See below for explanation.
Step-by-step explanation:
Reason 1
When we solve the equation by combining both equations in one, the variable will become 0.Proof
[tex] \begin{cases} y = 4x - 3 \\ y = 4x - 5 \end{cases} \\ 4x - 3 = 4x - 5 [/tex]
Combine like terms.
[tex]4x - 4x = - 5 + 3 \\ 0 = - 2[/tex]
See that the equation is false no matter which numbers you substitute in x-term.
Reason 2
Both graphs are parallel and don't have any intercepts to each others.See the attachment below for graphs.
Since both graphs do not really have intercepts, that means they do not provide any solutions. Hence, no solutions.
write an expression that is equivalent to 2(A+b)
Answer:
2A + 2b
Step-by-step explanation:
Distributive property
There are 12 negative charges and 8 positive charges. Which integer represents the total value of the charges?
Answer:
-4
Step-by-step explanation:
-12 + 8
-4
help help help help
thanks
Answer:
3, each number is being multiplied by a factor of 3
What is 4 copies of 1/5
Answer:
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Step-by-step explanation:
The 4 copies of the fraction 1/5 will be 4/5.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
As per the given,
4 copies of 1/5
The first copy of /5 = 1/5
Second one = 1/5
Third = 1/5
And fourth = 1/5
Collective all copies are 1/5 + 1/5 + 1/5 + 1/5
Take LCM as 5,
(1 + 1 + 1 + 1)/5 = 4/5
Hence "The 4 copies of the fraction 1/5 will be 4/5".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
2y = x - 12, solve for X
Plzz solve this easy calculus :')
Answer:
[tex] \sin \: x - \cos x \: + c[/tex]
Step-by-step explanation:
[tex] \int \frac{cos2x}{ \sqrt{1 - sin2x} } dx \\ \\ = \int \frac{ {cos}^{2}x - {sin}^{2}x } { \sqrt{ {sin}^{2}x + {cos}^{2}x - 2sinx \: cosx } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} { \sqrt{ {({cos}x - {sin}x )}^{2} } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} {{ {({cos}x - {sin}x )} } } dx \\ \\ = \int({cos}x + {sin}x)dx \\ \\ = \int{cos}x \: dx + \int{sin}x \: dx \\ \\ = \sin \: x - \cos x \: + c[/tex]
Writing and Evaluating an Algebraic Expression Try it five more than the product of two and a number, decreased by seven; evaluate when a = 8
Answer:
7
Step-by-step explanation:
dont trust me i dont know the answer sry
Answer:
ya
Step-by-step explanation:
round off 9.999 to the nearest 10
Answer:
the answer is 10 you round up a nine it keeps going to the end
Find the value of m. Quarts 0 1 2 e G 0 Gallons =0
if 2 quarts=1/2 galleon on the graph.
Then half of 2 quarts will be half of 1/2 galleons.
Therefore 1 quart=1/4 galleons.
Hope it helps!
What are the values of m and n in each right triangle
There are 35 boxes with 48 base balls in each box how many baseballs are there altogether
Answer:
35x48=1680
Step-by-step explanation:
1680
Find the value of tan Θ is sin Θ = 1/2 90° ≤ Θ ≤ 180°
a. -√3/2
b. -√3/3
c. √3/2
d. √3/3
9514 1404 393
Answer:
b. -√3/3
Step-by-step explanation:
From your knowledge of the values of trig functions of special angles, you know sin(30°) = 1/2. For an angle in the second quadrant, this means the reference angle is 30° and the actual angle measure is 180° -30° = 150°.
The corresponding value of the tangent function is -√3/3, negative in the second quadrant.
Answer:
sin theta=p/h=1/2 let p=1k and h=2k
tan theta=p/b=1k/(√(2k)²-k²)=1k/k√3=1/√3
=tan 30
therefore theta =30°
your answer is 1/√3=√3/3
PLS HELP ASAP PLS PLS
Answer:
It should be the third option.
Step-by-step explanation:
The second expression is 2(3x+1)
Just substitute 2 as x.
2(3(2) + 1)
2(6 + 1)
2(7)
14
Since both expressions are equal to 14, both expressions are equivalent.
8 grade solution plobem, first explantion gets brainest
Answer:
x=8
y=1/6x+4/6
y= 2
Step-by-step explanation:
40 ile 54 arasındaki asal sayıların toplamı acil!!!!!!!!!!
Answer:
Can you tell the question in english please
Answer:
46 47 48 49 50 51 52 53 54
In the image shown, Line n is a transversal cutting parallel lines and m.
< 3 = x + 50
< 7 - 2x + 20
What is the measure of < 3?
A)
70°
B)
75°
C)
80°
D)
85
Answer:B) . 75°
Step-by-step explanation:dfghjkjhgfdfgty
Answer:
its 80
Step-by-step explanation:
i did it on usa test prep
SOMEONE HELP PLZZZ ASAP
Answer:
Answer:
(2x−1)(2x−1)(2x−1)(2x−1)
Step-by-step explanation:
Factor 16x4−32x3+24x2−8x+1
16x4−32x3+24x2−8x+1
=(2x−1)(2x−1)(2x−1)(2x−1)
Rachelle bought x pounds of fruit for
$2 per pound and a gallon of milk for
$3.79. She spent a total of $17.29. Write
an equation that can be used to find
how many pounds of fruit she bought.
Step-by-step explanation:
step 1. 2x + 3.79 = 17.29. this is the answer.
Help me with this please 100 points if its done right
Answer:
[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]
Step-by-step explanation:
To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:
[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]
Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]
[tex]P=24\sqrt{x}[/tex]
To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height
The base is: [tex]9\sqrt{x}[/tex]
The height is: [tex]8\sqrt{x}[/tex]
Plug and chug:
[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]
[tex]A=\frac{1}{2} *72x\\A=36x[/tex]
n x 5 = I'm very Smart *wink wink* I could just search it up I'm not gonna though okay
Answer:
5n
Step-by-step explanation:
A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?
Answer:
15
Step-by-step explanation:
Answer:
21 ounces.Step-by-step explanation:
This is percentage increase.In order to find that, we simply do:
(100+25)% = 125%
100% = 12 ounces
125% = ?
12*125/100 = 9 ounces
Add it up to the original amount:
12+9 = 21 ounces
The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.
Find all the zeros of the equation.
-x^3-x^2=11x+11
Answer:
x= -1 , i(sqrt11) , -i(sqrt11)
Step-by-step explanation:
subtract 11x from both sides
-x^3 - x^2 - 11x = 11
subtract 11 from both sides
-x^3 - x^2 - 11x - 11 = 0
Factor the left side of the equation
- (x - 1)(x^2 + 11) = 0
Set both factors to zero and solve for x
x + 1 = 0 x^2 + 11 = 0
-1 -11
x^2 = -11
x = -1 x = +/- i(sqrt11)
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
Evaluate : xº + 3-1 - 32
Answer:
-29
Step-by-step explanation:
1+3-1-32
4-1-32
3-32
-29
anything raised to the power of 0 is on
please mark brainiest thank you
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
Which of the following is the slope of the line below?
O slope: m=1
O slope: m = 0
O slope: m = undefined
slope: m=3
PLEASE HELP WILL GIVE BRAINLIEST AND A LOT OF POINTS!
can somebody help me with my online homework?
Answer:
x = number of pies
$13.00 + (X -1)($10.00 per pie) = cost
Step-by-step explanation:
Number of pies = x
Total cost of = dollars = d
d = x + 10x
Hope that helps!