The probability that the sample mean would be less than 40.6 dollars will be 0.534.
What is a normal distribution?The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is given as
z = (x – μ) / σ
The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.
If a sample of 51 bags of shrimp is randomly selected.
Then the probability that the sample mean would be less than 40.6 dollars will be
z = (40.6 – 40) / 7
z = 0.0857
Then the p-value will be
P(x < 40.6) = P(z < 0.0857)
P(x < 40.6) = 0.534
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Select the correct answer.
x
f(x)
2.0 2.8
2.5 1.1
3.0 –0.8
3.5 –1.2
4.0 –0.3
4.5 0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
A.
between 2.0 and 2.5 and between 4.0 and 4.5
B.
between 2.5 and 3.0 and between 4.0 and 4.5
C.
between 2.0 and 2.5 and between 3.5 and 4.0
D.
between 2.5 and 3.0 and between 3.5 and 4.0
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The correct option is B.
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.
Example:
x² + 3x + 5
In order to find the values at which the given polynomial will have zeros of the function, we need to find the values at which f(x) changes from positive to negative or vice versa. Since this is the range at which the function must have crossed the x-axis on the graph.
As per the given table, the value of f(x) is changing from negative to positive and positive to negative are between 2.5 and 3.0 and between 4.0 and 4.5.
Hence, the correct option is B.
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The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options.
{n | n < 3}
{n | n ≥ 3}
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.
(3, ∞)
The correct representations of this solution is {n | n > 3} an open circle appears at positive 3.
Solution to inequality expressionInequalities are expressions not separated by an equal sign. Given the inequality
6 + 2n > 12
Subtract 6 from both sides
2n > 12 - 6
2n >6
Divide both sides by 2
2n/2 >6/2
n >3
Hence the correct representations of this solution is {n | n > 3} an open circle appears at positive 3.
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a.The product of two integers is -20.Find the largest possible sum of the two integers?b.The product of two integers is -30.Find the largest possible sum of the two integers.c.Can you generalize the result of a and b?
Step-by-step explanation:
first express the second function in terms of the other and find the critical point(which is the point that makes the graph to have a slope of 0). then you get the first number.
Find the range of the function.
f(x) = 10-x²
a. [5,00)
c. (-∞0, 10]
b. (-∞, -1) U [0, 00)
d.
Please select the best answer from the choices provided
(-∞, -1) U [∞o, 10)
Answer: hard to tell but I think D is correct (−∞,10],{y| y ≤ 10}
Step-by-step explanation:
Range:
(−∞,10] or {y| y ≤ 10}
because there is a vertex at (0, 10)
(found this by using -b/2a giving us 0 for x coord and plugging in 0 to 10-x² giving us (0, 10)
Then understanding since -x² is negative, the parabola goes down. And we know that the range is anything less or equal to 10
You invest $1000
in an account at 2.5% per year simple interest. How much
will you have in the account at the beginning of the 4th year? Round your
answer to the nearest whole dollar.
A. $1075
B. $1163
C. $3250
• D. $1088
i dont speak English 3456
It takes to complete 200 rotations in 1 minute. How long does it take to complete 300 rotations? How many times does it rotate in half minute?
Answer:
1.5 min
100 rotations
Step-by-step explanation:
to find 300 rotations time duration use the half-minute,
to find half of a minute divide the amount in one minute (200) by 2
200/2 = 100
then mutiply the 100 times 3 to find the time
100 * 3 = 300
therefore 30 sec (100 rot.) and 3 (3 times)
30 * 3 = 90
90 seconds minus 60 (one minute) is 30
so then it is equal to 1.5 minutes aka 1 min. 30 sec.
How long does it take to complete 300 rotations? 1.5 minutes (1 min. 30 sec.)
How many times does it rotate in a half minute? 100 rotations
hope this helps:)
What is the distance in units between the points (-1, 5) and (-1,
-3)?
Answer:
8 [units].
Step-by-step explanation:
if to see the given coordinates, then it is clear the x-coordinates are equal. It means, the required distance can be calculated:
d=5+3=8 [units].
The Pythagorean Identity states that: (sin x)^2 + (cos x)^2 = 1
Given cos 0 = 5/3, find sin 0
sin 0 = ?/?
Simplify the fraction.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:sin(\theta) = \cfrac{2}{3} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \cos {}^{2} ( \theta) + \sin {}^{2} ( \theta) = 1[/tex]
[tex]\qquad \tt \rightarrow \: {\bigg( \cfrac{ \sqrt{5}}{3} \bigg) }^{2} + \sin {}^{2} ( \theta) = 1[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{5}{9} + \sin {}^{2} ( \theta) = 1[/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = 1 - \cfrac{5}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = \cfrac{9 - 5}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{2} ( \theta) = \cfrac{4}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \sqrt \cfrac{4}{9} [/tex]
[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \pm \cfrac{2}{3} [/tex]
Generally, only positive value is taken :
[tex]\qquad \tt \rightarrow \: \sin {}^{} ( \theta) = \cfrac{2}{3} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
four big water bottles can hold 8 gallaons how much can 10 big water gallons hold
Which relation below is NOT a function?
A. {(-2, 4), (1,3), (0,4)}
B. {(5,5), (4,4), (3,3) }
C. {(-4,0), (-7,0), (11, 0)}
D. {(1,4), (2,5) (1,7)}
The relation {(1,4), (2,5) (1,7)} is not a function because there is two mirror image of y for a single value of x option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we know for every single value of x there should be only one image in y set.
If there are multiple images are there for a single value of x then the relation is not a function.
In a set of relations:
D. {(1,4), (2,5) (1,7)}
There is two mirror image of y for a single value of x:
Thus, the relation {(1,4), (2,5) (1,7)} is not a function because there is two mirror image of y for a single value of x option (D) is correct.
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Uniform Distibution
The mail arrival time to a department has a uniform distribution over 0 to 60 minutes. What is the probability that the mail arrival time is more than 20 minutes on a given day? Answer: (Round to 2 decimal places.)
Step-by-step explanation:
Let X be the mail arrival time to a department that follows uniform distribution over 0 to 60 minutes.
The probability function of X is:
f
(
x
)
=
1
60
,
0
<
x
<
60
Now, the probability that the mail arrival time is more than 40 minutes on a given day is calculated below:
P
(
X
>
40
)
=
∫
60
40
1
60
d
x
=
[
x
60
]
60
40
In a vacancy for a position of animal breeder in an organization, then criteria of selection were work experience, entrance exam, and interview results. The relative importance of these criteria was regarded to be different. The weights of these criteria and scores obtained by 3 candidates (out of 100 in each criterion) are given in the following table. In addition, the selection of a candidate is based on the average result on these criteria, (full question attached)
Answer:
To determine the most suitable candidate we will calculate their total scores and see who's the best.
first for mr X
work experience = 70
score = work experience x wieght = 70 x 4 = 280
Entrance = 78
score = 78 x 3 = 234
Interview = 70
score = 70 x 4 = 210
total score = 280 + 234 + 280 = 794
for mr Y
Work experience = 89
score = 89 x 4 = 356
Entrance = 83
score = 83 x 3 = 249
Interview = 89
Score = 89 x 4 = 356
Total score = 356 + 249 + 356 = 961
for mr Z
work experience = 85
score = 85 x 4 = 340
Entrance = 89
Score = 89 x 3 = 267
Interview = 85
Score = 85 x 4 = 340
Total score = 340 + 267 + 340 = 947
So as we can see Mr Y has best score therefore I think he's the best for the job.
Explanation:
[tex]\sf Average \ Result : \dfrac{sum \ of \ value \ of \ scores}{sum \ of \ weight}[/tex]
Workout:
[tex]\sf For \ candidate \ X = \dfrac{70 \ \cdot \ 4 \ + 78 \ \cdot \ 3 \ + 70 \ \cdot \ 4 }{4 + 3 + 4} = 72.18 \ \ average \ score[/tex]
[tex]\sf For \ candidate \ Y = \dfrac{89 \ \cdot \ 4 \ + 83 \ \cdot \ 3 \ + 89 \ \cdot \ 4 }{4 + 3 + 4} = 87.36 \ \ average \ score[/tex]
[tex]\sf For \ candidate \ Z = \dfrac{85 \ \cdot \ 4 \ + 89 \ \cdot \ 3 \ + 85 \ \cdot \ 4 }{4 + 3 + 4} = 86.09 \ \ average \ score[/tex]
Conclusion:
Among all of them, candidate Y has the best average score of about 87.36 whereas candidate Z has second best score of 86.09 average score and candidate X has the least average score of 72.18.
Candidate Y is the appropriate candidate for this position on the criteria.
Question 10 of 10
Rewrite the following linear equation in slope-intercept form. Write your
answer with no spaces.
v+2=4(x-3)
Answer here
Superman needs to save lois from the clutches of lex luthor. It take superman 5 seconds to get to Lois who is 210 feet away. What is supermans rate?
Answer:
42 ft/s
Step-by-step explanation:
if superman travels 210 feet in 5 seconds, he will travel a fifth of 210 ft in 1 second
a fifth of 210ft is 210/5=42
hence 42ft/s is his rate.
help me pls i dont understand it
Answer:
Step-by-step explanation:
x×4=2x²(x-1)
2x³-2x²-4x=0
2x(x²-x-2)=0
x≠0
x²-x-2=0
x²-2x+x-2=0
x(x-2)+1(x-2)=0
(x-2)(x+1)=0
x=2
or
x=-1 (rejected)
Answer:
Step-by-step explanation:
Formula
The following relationship exists between the parts of each chord.
(x - 1)(2x^2) = 4*x
Solution
The easiest way to start is to divide both sides of the equation by x.
(x - 1)(2x^2)/x = 4x / x Divide by x
( x-1)(2x) = 4 Remove the brackets
2x^2 - 2x = 4 Subtract 4 from both sides
2x^2 - 2x - 4 = 4 - 4 Combine
2x^2 - 2x - 4 = 0 Pull out the common factor
2(x^2 - x - 2) = 0 Divide by 2
x^2 - x - 2 = 0 Factor
(x - 2)(x + 1)
Answer:
x can be 2 or x can be - 1 on paper. The x on the upper right prohibits that. A line can't have a length of - 1. So - 1 is called an extraneous solution.
The answer is x = 2
What formula should be entered in A3 to compute A1 times B1?
A =A1 B1
B =A1/B1
=B1*83
=A1*B3
123
2
A B
2
10
8
8458
U375
C
The formula that should be entered in A3 is = A1 * B1
How to determine the formula?The question implies that:
A3 = A1 times B1
In mathematics, the term "times" means *
So, we have:
A3 = A1 * B1
Remove the variable A3
= A1 * B1
Hence, the formula that should be entered in A3 is = A1 * B1
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Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. The doctor recommends rest if the patient has the flu. The doctor recommends rest. not possible The patient does not have the flu. If the doctor recommends rest, the patient has the flu. The patient has the flu.
The doctor recommends rest if the patient has the flu. Then the correct option is A.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Read the following two statements.
Then, if possible, use the Law of Detachment to draw a conclusion.
Then the correct option is A.
The doctor recommends rest if the patient has the flu.
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1
2
3
5
10
Two runners are saving money to attend a marathon.
The first runner has $110 in savings, received a $45 gift
from a friend, and will save $25 each month. The
second runner has $50 in savings and will save $60
each month.
After how many months will both runners have the
same amount of money?
02
O 3
Answer:
3 months
Step-by-step explanation:
The first runner: $110 + $45 = $155 starting out, plus 25x for $25 each month.
The second runner: $50 starting out, plus 60x for $60 each month.
To find out when both runners have the same amount of money, we will set the expressions equal to each other and solve.
155 + 25x = 60x + 50
105 = 35x
x = 3
Brainliest, please :)
What are the solutions to the equations y= 4x^2+5x-6
Answer:
D. x = -2; x = 3/4
Step-by-step explanation:
Read the values of a, b, and c from the quadratic equation: a is the number in front of x^2, b is the number in front of x, c is the number at the end. In our case: a = 4,b = 5,c = −6 The formula for the roots is = [tex]\frac{-b +-\sqrt{b^{2}-4ac } }{2a\\}[/tex]A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of the hyperbola in standard form?
quantity x minus 7 end quantity squared over 16 minus y squared over 9 equals 1
quantity x minus 7 end quantity squared over 25 minus y squared over 16 equals 1
y squared over 16 minus quantity x minus 7 end quantity squared over 9 equals 1
y squared over 25 minus quantity x minus 7 end quantity squared over 16 equals 1
Based on the calculations, the equation of this hyperbola in standard form is: A. [tex]\frac{x\;-\;7}{16} + \frac{y}{9} = 1[/tex].
How to determine the equation of a hyperbola?Mathematically, the equation of a hyperbola in standard form is given by:
[tex]\frac{x\;-\;h}{a^2} + \frac{x\;-\;k}{b^2} = 1[/tex]
Given the following data:
Center (h, k) = (7, 0)
Vertex (h+a, k) = (7, 4)
Focus = (h+c, k) = (7, 5)
Also, we can deduce that the value of a and c are 4 and 5 respectively.
For the value of b, we would apply Pythagorean's theorem:
c² = a² + b²
b² = c² - a²
b² = 5² - 4²
b² = 9.
Substituting the parameters into the standard equation, we have:
[tex]\frac{x\;-\;7}{4^2} + \frac{y\;-\;0}{3^2} = 1\\\\\frac{x\;-\;7}{16} + \frac{y}{9} = 1[/tex]
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find the slope of the line that passes through (3,10) and (1,17)
Answer:
[tex]m=- \frac{7}{2}[/tex]
Step-by-step explanation:
The slope of a line passing through the two points [tex]\displaystyle{\large{{P}={\left({x}_{{1}},{y}_{{1}}\right)}}}[/tex] and[tex]\displaystyle{\large{{Q}={\left({x}_{{2}},{y}_{{2}}\right)}}}[/tex] is given by [tex]\displaystyle{\large{{m}=\frac{{{y}_{{2}}-{y}_{{1}}}}{{{x}_{{2}}-{x}_{{1}}}}}}[/tex].
We have that [tex]x_1=3[/tex], [tex]y_1=10[/tex], [tex]x_2=1[/tex], [tex]y_2=17[/tex].
Plug the given values into the formula for slope: [tex]m=\frac{\left(17\right)-\left(10\right)}{\left(1\right)-\left(3\right)}=\frac{7}{-2}=- \frac{7}{2}[/tex]
Answer: the slope of the line is [tex]m=- \frac{7}{2}[/tex].
Answer:
slope = - [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{x_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 10 ) and (x₂, y₂ ) = (1, 17 )
m = [tex]\frac{17-10}{1-3}[/tex] = [tex]\frac{7}{-2}[/tex] = - [tex]\frac{7}{2}[/tex]
yo
24
yx
SECTION B
(a) Identity element;
(b) Inverse of 3 and -5 under *
Range y
[30 marks]
Answer all the questions in this section. All questions carry equal marks.
1. A binary operation is defined on the set of real numbers, R, by x + y = x + y + 10.
Find the:
The inverse of 3 and _ 5
Answer:
Sorry I don't know the answer
Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.
A linear equation that represents the model is: x + 6 = 10; x = 4
How to solve linear equations?Let us first define the variables based on the attached image of the ball balance:
Let x = number of balls that contains the square.
On the left side, we have; square + 6 balls
On the right side, we have; 10 balls
To balance this, we have;
x + 6 = 10
x = 10-6
x = 4
Thus, a linear equation that represents the model is:
x + 6 = 10; x = 4
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Which of the following terms best fits this definition?
The angle between two sides of a triangle.
Select one:
AAS Theorem
SAS Postulate
Included Side
ASA Postulate
HL Congruence Theorem
Included Angle
SSS Postulate
Step-by-step explanation:
hope you can understand
Jakub wants to build a new shed.
The area of the shed is 37 m².
The width of the shed is 5 m.
What is the length of the shed?
3
Answer:
74 mStep-by-step explanation:
Jakub wants to build a new shed.
The area of the shed is 37 m².
The width of the shed is 5 m.
What is the length of the shed?
to find the side, having the area, you need to use the inverse formula Area = W * L
so
L = A: W
L = 37 : 5 = 7.4 m
If the area of the shed is 37 m²,width of the shed is 5 m as a result the length of the shed will be 7.4 m.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, the area of the shed is 37 m². The width of the shed is 5 m.
Since the shed is rectangular. The length of width is found as,
Area = length × width
A = l × w
l=A/w
l=37/5
l=7.4 m
Thus, if the area of the shed is 37 m², the width of the shed is 5 m as a result the length of the shed will be 7.4 m.
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A woman passed gas silently. I said "it stinks", and she said "I apologize. Excuse me". Why did she say both of those things?
Answer:
one possible way was because she knew what she did and started playing innocent
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the parking lot?
By solving a system of equations, we will see that the parking lot is 210ft by 200ft.
How to get the dimensions of the parking lot?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = L*W
Here we know that the perimeter is 820 ft and the area is 42,000 ft²
Then we can write the two equations (ignoring units).
820 = 2*(L + W)
42,000 = L*W
We can isolate L in the first equation to get:
820/2 = L + W
410 - W = L
Now we can replace that in the other equation:
42,000 = (410 - W)*W = 410*W - W^2
Now we want to solve the quadratic equation:
-W^2 + 410*W - 42,000 = 0
The solutions are given by:
[tex]W = \frac{-410 \pm \sqrt{410^2 - 4*(-1)*(-42000)} }{-2} \\\\W = \frac{-410 \pm 10 }{-2}[/tex]
Then the solutions are:
W = (-410 + 10)/(-2) = 200
W = (-410 - 10)/2 = 210
If we take W = 200, then:
L = 410 - W = 410 - 200 = 210
So we can conclude that the parking lot is 200ft by 210ft.
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Answer: C, 210 ft
Step-by-step explanation: edge :)
If $5000 is invested at a rate of 3% interest
compounded quarterly, what is the value of
the investment in 5 years? (Use the formula
A = P (1 + =)",
, where A is the amount accrued, P
is the principal, r is the interest rate, n is
the number of times per year the money is
compounded, and t is the length of time, in years.)
The value of the investment in 5 years is $5805.9
What is Interest ?Interest is the amount earned over years for the amount invested.
It is given that
Principal = $5000
Rate = 3%
Compounded Quarterly
Time = 5 years
Amount = ?
The Amount is given by the formula
Amount = P( 1 + (r/n))ⁿˣ
Here n = t = time period for which the investment has been done.
Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵
Amount = 5000 (1.16)
Amount = $ 5805.9
Therefore , The value of the investment in 5 years is $5805.9
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what is the ratio of the radius of circle a to the radius of circle b?
Answer:
3:1
Step-by-step explanation:
Assuming that the edges of the circle are supposed to line up with the dotted lines of the graph, all you have to do is count how many lines are between the middle of the circle and the edge (either directly vertical or horizontal due to the graph we are using). We can see that the radius of circle A is approximately 3 units, while the radius of circle B is approximately 1 unit. So the ratio of the radius of circle A to the radius of circle B is 3:1.
Answer:
3:1
Step-by-step explanation:
because once count the radius of the big circle that is 3 unit and the radius of small circle is 1 unit
Which of the following best describes the expression below when i = √-1?
3+4i
A. Complex number
B. Real number
C. Irrational number
D. Rational number
The answer is A. Complex number