Answer:
.4 is in the 10th place in a number so .4 is one tenth of 1
The given decimal is equivalent to the one tenth of 4.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given number in decimal form is 0.4.
In order to convert it in fraction, it can be written in the form of p/q as follows,
0.4 = 0.4/1
Multiply the numerator and denominator by 10 to obtain,
(0.4 × 10)/(1 × 10) = 4/10
Hence, the given number is one tenth of 4.
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Solve the equation for x and enter your answer in the box below.
x - 3x + 4 = 3 - 9
X = Answer
HINT
SUBMIT
th
Answer:
I think that it's either x= -2 or x= 0.5
Step-by-step explanation:
x=5 is the value of equation x - 3x + 4 = 3 - 9.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x - 3x + 4 = 3 - 9
x minus three times of x plus four equal to three minus nine
In the given equation x is the variable and we need to solve the value of x.
x - 3x + 4 = 3 - 9
Add the like terms
-2x+4=-6
Subtract 4 from both sidees
-2x=-10
Divide both sides by -2
x=5
Hence, x=5 is the value of equation x - 3x + 4 = 3 - 9.
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The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. Fixed cost =$ Number b. What is the cost of making 25 items? C(25)=$ Number c. Suppose the maximum cost allowed is $2300. What are the domain and range of the cost function, C(x)? When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000). Domain: Preview Range: Preview
Answer:
a). Fixed cost = $800
b). The cost for 25 items is $1050
c).Range = 150
Domain g(x) = 150
Step-by-step explanation:
The cost in dollars of making x item is given by the function C(x)=10x+800.
The fixed cost is when x= 0
Fixed cost
C(0)= 10(0) +800
C(0) = 0+800
C(0)= 800
Fixed cost = $800
The cost for 25 items
C(25) = 10(25)+800
C(25) = 250+800
C(25) = 1050
The cost for 25 items is $1050
If Maximum cost=$2300
C(x)=10(x) +800= 2300
Range of x
10(x) = 2300-800
10(x) = 1500
X= 1500/10
X= 150
Range = 150
Domain g(x) = 150
2x-10+x+x =180 find the value of x
Answer: 47.5
Step-by-step explanation:
Given
2x-10+x+x=180
combine like term x
4x-10=180
addition property of equality (add 10 on both sides)
4x=190
division property (divide 4 on both sides)
x=47.5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Answer:
your answer will be 47.5
which is greater, 3 over 4 or 11 over 16
Answer: 3/4 is greater
Step-by-step explanation:
3/4 and 11/16
#1 change to same denominator
the LCM (least common multiple) of 4 and 16 is 16
12/16 and 11/16
#2 compare numerator
12 > 11
this means 12/16>11/16
12/16=3/4, 3/4 is greater
Solve the equation 0.3 = -15z.
Answer:
z = - 0.02
Step-by-step explanation:
0.3 = -15z
0.3 / -15 = z
-0.02 = z
Answer:
Z= - 0.02
Step-by-step explanation:
0.3=-15 *Z
Z= 0.3 / - 15
Z= - 0.02
Alguien que me pueda ayudar? jeje
Answer:
21 ÷7 =3
3 x 4 =12
aye 12 globos azules
Plz help (URGENT) The data shows the number of bacteria in a culture after a given number of hours. Based on the data, which is closest to the number of hours it takes the culture to reach 12,000 bacteria? A) 16 hours B) 19 hours C) 22 hours D) 25 hours Hour Bacteria 1 2,215 2 2,235 3 2,360 4 2,680 5 3,075
Answer:
The number of hours it takes the culture to reach 12,000 bacteria is 41 hours.
Step-by-step explanation:
To predict the number of hours it takes to culture a certain number of bacteria form a regression equation of number of hours (y) based on the number of bacteria (x) using the provided data.
The general form of the regression equation is:
[tex]y=a+bx[/tex]
Compute the values of a and b as follows:
[tex]a=\frac{\sum Y\cdot\sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}=\frac{15\cdot 32109075 - 12565\cdot 39860}{5\cdot 32109075-(12565)^{2}}=-7.203\\\\b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}=\frac{5\cdot 39860- 12565\cdot 15}{5\cdot 32109075-(12565)^{2}}=0.004[/tex]
*Use the Excel data sheet attached.
The regression equation of number of hours based on the number of bacteria is:
[tex]y=-7.203+0.004x[/tex]
Compute the number of hours it takes the culture to reach 12,000 bacteria as follows:
[tex]y=-7.203+0.004x[/tex]
[tex]=-7.203+(0.004\times 12000)\\=-7.203+48\\=40.797\\\approx 41[/tex]
Thus, the number of hours it takes the culture to reach 12,000 bacteria is 41 hours.
Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius temperatures for select Fahrenheit temperatures. Table A C -10. 0 .10 .20 .30 F 14. 32. 50. 68. 86 Table B F .14 .32 .50 .68 .86 C.-10. 0. 10. 20. 30 The tables show that the two functions are ✔ inverses because the ordered pair (x, y) for one function is the ordered pair ✔ (y, x) for the other function.
Answer:
✔ inverses
✔ (y, x)
Step-by-step explanation:
The tables show that the two functions are inverses because the ordered pair (x, y) for one function is the ordered pair (y, x) for the other function.
How do you know if functions are inverses?Permit f be a characteristic. If any horizontal line intersects the graph of f more than as soon as, then f does now not have an inverse. If no horizontal line intersects the graph of f extra than once, then f does have an inverse.
Does every function have an inverse?No longer do all capabilities have inverses. people who do are known as "inverse." learn the way we can tell whether or not a function is inverse or now not. Inverse functions, inside the maximum preferred sense, are features that "reverse" every difference.
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Upon descent, at airplane is 15000 feet above the ground. The air traffic control tower is 250 feet tall. The angle of elevation from the top of the tower to the plane is 16°. Find the ground distance from the airplane to the tower. Round to the nearest foot.
Answer: 51,349 feet
Step-by-step explanation:
[tex]\tan \theta=\dfrac{opposite}{adjacent}\\\\\\\tan 16^o=\dfrac{14750}{x}\\\\\\.\qquad x=\dfrac{14750}{\tan 16^o}\\\\\\.\qquad x=\large\boxed{51439}[/tex]
7/10 divided by 5/10 Help 20 pts
Answer:
7/5
Step-by-step explanation:
4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C. Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.
Given that ∠ABC ≅ ∠DBE, which statement must be true?
∠ABC ≅ ∠ABD
∠ABD ≅ ∠CBE
∠CBD ≅ ∠DBE
∠CBD ≅ ∠ABC
Answer:
The Correct Answer Is: ∠ABD ≅ ∠CBE
Step-by-step explanation:
I just took the test
∠ABD≅∠CBE is the true statement of congruent angles as per the given condition ∠ABC ≅∠DBE.
What are congruent angles?" Congruent angles are pair of such angles which are equal in their measurements."
According to the question,
Given,
∠ABC ≅∠DBE ________(1)
As shown in the diagram drawn as per the given conditions we have,
'D' is the interior point of angle ABC.
Therefore,
∠ABC = ∠ABD + ∠CBD ______(2)
'C' is the interior point of ∠DBE.
Therefore,
∠DBE = ∠CBD + ∠CBE ______(3)
Substitute (2) and (3) in (1) to represent congruent angles we get,
∠ABD + ∠CBD ≅ ∠CBD + ∠CBE
⇒∠ABD ≅ ∠CBE (∠CBD is common in both)
Hence, ∠ABD≅∠CBE is the true statement of congruent angles as per the given condition ∠ABC ≅∠DBE.
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Help me please! These are due today.
Answer:
[tex] {x}^{2} + 3x[/tex]
Step-by-step explanation:
1.
Area of shaded region = Area of external rectangle - Area of internal rectangle
[tex] = 4x(x + 2) - x(3x + 5) \\ = 4 {x}^{2} + 8x - 3 {x}^{2} - 5x \\ = 4 {x}^{2} - 3 {x}^{2} + 8x - 5x \\ = {x}^{2} + 3x \\ [/tex]
2.
Let the width of the rectangle be x inches.
Therefore, length of the rectangle = (x + 3) inches
A.
Area of rectangle
[tex] =(x + 3)\times x\\
=x^2 + 3x\\[/tex]
B.
Width of rectangle = 4 inches
Length of rectangle = 4 + 3 = 7 inches
Area of rectangle = 7*4 = 28 square inches.
The functions fand g are defined as follows. 3 f (x) = 3x - 5 g(x) = – 4x-1
Find f(-2) and g(?).
Simplify your answers as much as possible.
f(-2)= []
g(2)= []
Answer:
see below
Step-by-step explanation:
f (x) = 3x - 5
g(x) = – 4x-1
f(-2)=
Let x =-2
f(-2) = 3*-2 -5 = -6-5 = -11
g(2)=
Let x=2
g(2) = -4(2) -1 = -8-1 = -9
Answer:
[tex]\huge \boxed{\mathrm{f(-2)=-11 }} \\\\\\ \huge \boxed{\mathrm{g(2)=-9 }}[/tex]
Step-by-step explanation:
[tex]\sf f (x) = 3x - 5 \\\\\\ g(x)=-4x-1[/tex]
The input value or x value for f(-2) is -2.
[tex]\sf f (-2) = 3(-2) - 5 \\\\\\ \sf f (-2) = -6 - 5 \\\\\\ f(-2)=-11[/tex]
The input value or x value for g(2) is 2.
[tex]\sf g(2)=-4(2)-1 \\\\\\ g(2)=-8-1 \\ \\ \\ g(2)=-9[/tex]
Find the square. (4x – 6y3)2
Answer:
16x^2 -48xy^3 +36y^6
Step-by-step explanation:
Use FOIL or the distributive property or the form of the square of a binomial to expand the square.
(4x -6y^3)(4x -6y^3) = 4x(4x -6y^3) -6y^3(4x -6y^3)
= (4x)^2 -(4x)(6y^3) -(6y^3)(4x) +(6y^3)^2
= 16x^2 -48xy^3 +36y^6
_____
The form referred to above is ...
(a +b)^2 = a^2 +2ab +b^2
Jocelyn walks her dog 5 days each week. Each walk is 24 miles long.
What is the total number of miles that jocelyn walks her dog each week? Move a number or a symbol to each blank to make the equation. If
there is no whole number, put a 0 in the first box after the equals sign.
II
0
Answer:
Total distance covered each week is [tex]11\frac{1}{4}\ miles[/tex]
Step-by-step explanation:
Given
Days = 5 days
Distance = [tex]2\frac{1}{4}[/tex] miles
Required
Determine the total distance covered in a week
To do this, we simply multiply distance by number of days.
[tex]Total\ distance = distance * days[/tex]
[tex]Total\ distance = 2\frac{1}{4} * 5[/tex]
Convert to improper fraction
[tex]Total\ distance = \frac{9}{4} * 5[/tex]
[tex]Total\ distance = \frac{9 * 5}{4}[/tex]
[tex]Total\ distance = \frac{45}{4}[/tex]
[tex]Total\ distance = 11\frac{1}{4}[/tex]
Hence, the total distance covered each week is [tex]11\frac{1}{4}\ miles[/tex]
Answer:
the answer is a
Step-by-step explanation:
1 step -a
2- a
∈∉State all possible names for the figure
Answer: C. quadrilateral
Step-by-step explanation:
Trapezoid means one side must be parallel, which does not exist in the image so A & D are ruled out.
Parallelogram means opposite sides are parallel which does not exist in this image so B is ruled out.
Quadrilateral means that the object contains 4 sides, which the image does so the answer is C.
Which trigonometric inequality has no solution over the interval 0<=x<=2 a. csc(x)1>0 b.cos(x)-1>0 c.cot(x)-1>0 d.tan(x)-1>0
Answer:
B
Step-by-step explanation:
a. csc x − 1 > 0
csc x > 1
sin x < 1
x = [0, π/2) U (π/2, 2]
b. cos x − 1 > 0
cos x > 1
x = no solution
c. cot x − 1 > 0
cot x > 1
tan x < 1
x = [0, π/4) U (π/2, 2]
d. tan x − 1 > 0
tan x > 1
x = (π/4, π/2) U (π/2, 3π/4)
Of the 4 options, only B has no solution.
The only inequality that does not have a solution with the range is option B; cos x − 1 > 0.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
A. csc x − 1 > 0
csc x > 1
sin x < 1
x = [0, π/2) U (π/2, 2]
B. cos x − 1 > 0
cos x > 1
x = no solution
C. cot x − 1 > 0
cot x > 1
tan x < 1
x = [0, π/4) U (π/2, 2]
D. tan x − 1 > 0
tan x > 1
x = (π/4, π/2) U (π/2, 3π/4)
Therefore option B is the only inequality that does not have a solution with the range.
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Which equation represents a linear function? Equation 1: y = 2x + 1 Equation 2: y2 = 3x + 1 Equation 3: y = 5x5 − 1 Equation 4: y = 4x4 − 1 Equation 1 Equation 2 Equation 3 Equation 4
Answer:
Equation 1
Step-by-step explanation:
It does not have an x value with an exponent of 2 or greater.
Answer: I would think that equation 1 represents a linear function as it fllows the y= mx +b formula.
Step-by-step explanation: Linear functions sometimes use slope intercept form which is y = mx + b in this equation 2x would be your slope and 1 would be your y intercept.
Which of the following is a function?
A. (-2,0),(6,-3),(6,22),(10,96)
B. (-2,0),(10,-3),(6,22),(10,96)
C. (-2,0),(1,-3),(6,22),(10,96)
D. (-2,0),(1,-3),(6,22),(1,96)
Answer: C
Step-by-step explanation:
In order to be a function, you canNOT have any duplicate x's.
A) x = -2, 6, 6, 10 --> 6 is used twice so it is not a function
B) x = -2, 10, 6, 10 --> 10 is used twice so it is not a function
C) x = -2, 1, 6, 10 --> all the x's are different. This is a function!!!
D) x = -2, 1, 6, 1 --> 1 is used twice so it is not a function
Answer:
C
Step-by-step explanation:
Relationship between independent variable and dependent variable: each x corresponds to only one y, but y can each correspond to multiple x (which is why there are multiple solutions of an equation, and a solution can only launch a counter-argument )
A, 6 -> - 3,22.6 (x) corresponding to the two y. C options and only one for each of x y.
lina packs 3 inch cups into boxes measuring 12 inches by 15 inches. How many cups fit in one box
20 cups
4 rows of 5 containing the 3 inch cups and 5 columns of 4 containing the 3 inch cups
Hey There!! ~
The answer to this is: 60 cups. Because, First you need to find the area of the box which would be
12in x 15in =180in
The second step would be to divide the area of the box by how tall the cups are .
180/3 = 60
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[tex]ItsNobody[/tex]~ (`~*>.^UwU^.<`~*)
What is the quotient of 8,592 ÷ 24
Answer:
358
Step-by-step explanation:
Answer:
358
Step-by-step explanation:
(See below for the picture of how to do it.)
Otto spent Three-fourths of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?
Answer: $64
Step-by-step explanation:
Let x be the amount of money he had before buying the video game
Given, 3/4 of x = 48
By cross-multiplying,
x = 64
Answer:
64
Step-by-step explanation: edge 2020
Probability & Statistics: The Quarantine Puzzle D You are stuck at home watching people walk down the street. Assuming half the people are wearing black shoes, 1/3 are wearing white shoes and 1/6 are wearing red shoes. What is the probability that you will see a person wearing black shoes before you see a person wearing white ones? a) 3/5 b) 1/2 c) 2/5 d) 2/3
Answer:
i think its a
Step-by-step explanation:
its A
Answer:A
Step-by-step explanation:
Imagine that Amy counted 60 numbers per minute and continued to count nonstop until she reached 19,000. Determine a reasonable estimate of the number of hours it would take Amy to complete the counting It will take Amy approximately hours to count to 19,000. (Type a whole number)
Answer:
It will take ≈5 hours (5.278)
Step-by-step explanation:
First we need to find how many number she counts in one hour. We know she counts 60 every one minute and there are 60 minutes in an hour. 60x60=3600
Now we divide 19,000 by 3600 to find how many hours it will take
19000/3600=5.278
It will take ≈5 hours (5.278)
Now write the numbers 1 through 10 using exactly four 4s.
Value
Expression using four 4s
1
I
2
3
4
5
6
7
8
9
10
Answer:
Step-by-step explanation:
This is an algebraic question type where we express the identity of each number using exactly four 4s method order of operation.
So, Expression using four 4s.
1 = (4 ÷ 4) ÷ (4 ÷ 4)
2 = ( 4 ÷ 4 ) + ( 4 ÷ 4)
3 = ( 4 + 4 + 4 ) ÷ 4
4 = 4 + 4 ( 4 - 4 )
5 = ((4 × 4) +4) ÷ 4
6 = 4 +( (4+4) ÷ 4)
7 = (4+4) - ( 4 ÷ 4 )
8 = (4 × 4) - 4 - 4
9 = 4 + 4 + ( 4 ÷ 4)
10 = ( 44 - 4 ) ÷ 4
Answer:
1 = (4÷4) + (4-4)
2= (4-4)+(4-
√4)
3= (4+4+4)÷4
4= (√4+√4)+(4 - 4)
5= (4+√4)-(4÷4)
6= (4-4)+(4+√4)
7= (4+4)+(4÷4)
8= (4*√4)-(4 - 4)
9= (4+4)+(4÷4)
10=(4 -√4)+(4*√4)
Step-by-step explanation:
The
√4 = 2 and that helps to most of the equations
ABCD is a parallelogram. If m∠CDA = 75, then what is m∠DAB? 95 75 105 115
Answer:
105 degrees.
Step-by-step explanation:
< DAB and <CDA are supplementary.
Therefore m < DAB = 180 - 75
= 105 degrees.
Answer:
105 degrees.
Step-by-step explanation:
What is -1 ⅓ × -⅖
Please explain your answer and show your work.
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
Change the mixed number into an improper fraction: -1 × 3 = -3, -3 + 1 = -2. Put -2 over 3: [tex]\frac{-2}{3}[/tex] Multiply -2/3 and -2/5: [tex]\frac{-2}{3}[/tex] × [tex]-\frac{2}{5}[/tex] = [tex]\frac{8}{15}[/tex]Therefore, the answer is [tex]\frac{8}{15}[/tex].
Rationalize the denominator of sqrt32/(sqrt16-sqrt2). The answer can be written as )AsqrtB+C)/D, where A, B, C, and D are integers, D is positive, and B is not divisible by the square of any prime. Find the minimum possible value of A+B+C+D.
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{32} }{\sqrt{16} - \sqrt{2} } = \frac{4\sqrt{2} }{4 - \sqrt{2} } ----------------- (1)[/tex]
It says it can be written in the form of
[tex]\frac{A\sqrt{B} + C }{D}[/tex]
where A, B, C and D are integers, D is positive and B is not divisible by square of any prime
Rationalize equation 1:
[tex]\frac{4\sqrt{2} }{4 - \sqrt{2} } X \frac{4 + \sqrt{2} }{4 + \sqrt{2}}[/tex]
in denominator, use (a + b)(a - b) = [tex]a^{2} - b^{2}[/tex]
After multiplying numerator and denominator you should get
[tex]\frac{16\sqrt{2} + 8}{14}[/tex]
this is in the form
[tex]\frac{A\sqrt{B} + C }{D}[/tex]
where A = 16, B = 2, C = 8, and D = 14
hope this helps you ^^
What is the sum of the sixth terms of the geometric series 2-6+18-54+
Answer: 122
Step-by-step explanation:
Since it is a geometric sequence, lets see the pattern below:
-6÷2=-318÷-6=-3-54÷18=-3From this, we can see that we multiply each number by -3 to get the next number.
Before we find the sum, we first find the next number.
-54×-3=162
So the whole sequence will be: 2, -6, 18, -54, 162
Find the sum
2+(-6)+18+(-54)+162
=2-6+18-54+162
=-4-36+162
=-40+162
=122
Hope this helps!! :)
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Weights and heights of turkeys tend to be correlated. For a population of turkeys at a farm, this correlation is found to be 0.64. The average weight is 17 pounds, SD is 5 pounds. The average height is 28 inches and the SD is 8 inches. Weight and height both roughly follow the normal curve. For each part below, answer the question or if not possible, indicate why not. A turkey at the farm which weighs more than 90% of all the turkeys is predicted to be taller than % of them. The average height for turkeys at the 90th percentile for weight is Of the turkeys at the 90th percentile for weight, roughly what percent would you estimate to be taller than 28 inches?
Answer:
a turkey at the farm which weighs more than 90% of all the turkeys is predicted to be taller than 79.37 % of them.
The average height for turkeys at the 90th percentile for weight is 34.554
Of the turkeys at the 90th percentile for weight, roughly the percentage that would be taller than 28 inches 79.37%
Step-by-step explanation:
The data given for the study can be listed as follows
For a population of turkeys at a farm, the correlation found between the weights and heights of turkeys is r = 0.64
[tex]\overline x[/tex] = 17 (i . e the average weight in pounds)
[tex]S_x[/tex] = 5 ( i . e the standard deviation of the weight in pounds)
[tex]\overline y[/tex] = 28 (i . e the average height in inches)
[tex]S_y[/tex] = 8 ( i . e the standard deviation of the height in inches)
The slope of the regression line can be expressed as :
[tex]\beta_1 = r \times ( \dfrac{S_y}{S_x})[/tex]
[tex]\beta_1 = 0.64 \times ( \dfrac{8}{5})[/tex]
[tex]\beta_1 = 0.64 \times 1.6[/tex]
[tex]\beta_1 = 1.024[/tex]
Similarly the intercept of the regression line can be estimated by using the formula:
[tex]\beta_o = \overline y - \beta_1 \overline x[/tex]
replacing the values, we have:
[tex]\beta_o = 28 -(1.024)(17)[/tex]
[tex]\beta_o = 28 -17.408[/tex]
[tex]\beta_o = 10.592[/tex]
However, the regression line needed for this study can be computed as:
[tex]\hat Y = \beta_o + \beta_1 X[/tex]
[tex]\hat Y = 10.592 + 1.024 X[/tex]
Recall that;
both the weight and height roughly follow the normal curve
Thus, the weight related to 90th percentile can be determined as shown below.
Using the Excel Function at 90th percentile, which can be computed as:
(=Normsinv (0.90) ; we have the desired value of 1.28
∴
[tex]\dfrac{X - \overline x}{s_x } = (Normsinv (0.90))[/tex]
[tex]\dfrac{X - \overline x}{s_x } = 1.28[/tex]
[tex]\dfrac{X - 17}{5} = 1.28[/tex]
[tex]X - 17 = 6.4[/tex]
X = 6.4 + 17
X = 23.4
The predicted height [tex]\hat Y = 10.592 + 1.024 X[/tex]
here; X = 23.4
[tex]\hat Y = 10.592 + 1.024 (23.4)[/tex]
[tex]\hat Y = 10.592 + 23.9616[/tex]
[tex]\hat Y = 34.5536[/tex]
So the probability of predicted height less than 34.5536 can be expressed as:
[tex]P(Y < 34.5536) = P( \dfrac{Y - \overline y }{S_y} < \dfrac{34.5536-28}{8})[/tex]
[tex]P(Y < 34.5536) = P(Z< \dfrac{6.5536}{8})[/tex]
[tex]P(Y < 34.5536) = P(Z< 0.8192)[/tex]
From the Z tables;
P(Y < 34.5536) =0.7937
Thus, a turkey at the farm which weighs more than 90% of all the turkeys is predicted to be taller than 79.37 % of them.
The average height for turkeys at the 90th percentile for weight is :
[tex]\hat Y = 10.592 + 1.024 X[/tex]
here; X = 23.4
[tex]\hat Y = 10.592 + 1.024 (23.4)[/tex]
[tex]\hat Y = 10.592 + 23.962[/tex]
[tex]\mathbf{\hat Y = 34.554}[/tex]
Of the turkeys at the 90th percentile for weight, roughly what percent would you estimate to be taller than 28 inches?
This implies that :
P(Y >28) = 1 - P (Y< 28)
[tex]P(Y >28) = 1 - P( Z < \dfrac{28 - 34.554}{8})[/tex]
[tex]P(Y >28) = 1 - P( Z < \dfrac{-6.554}{8})[/tex]
[tex]P(Y >28) = 1 - P( Z < -0.8193)[/tex]
From the Z tables,
[tex]P(Y >28) = 1 - 0.2063[/tex]
[tex]\mathbf{P(Y >28) = 0.7937}[/tex]
= 79.37%