A) Answer:
[tex] - 44[/tex]
B) Answer:
[tex]39[/tex]
C) Answer:
[tex] - 69[/tex]
D) Answer:
[tex] - 27[/tex]
Sorry, I don't think the last one is an equation.
I think you didn't wrote the number that comes after that.
A vegetable garden is in the shape of a triangle with a base of b = 25 ft and a height of h = 9 ft. find the area of the vegetable garden.
Answer:
Step-by-step explanation:
Formula
Area = 1/2 b* h
Givens
b = 25
h = 9
Solution
Area = 1/2 * 25 * 9 Substitute givens into formula
Area = 1/2 * 225 Combine
Answer
Area = 112.5 ft^2
A triangle on a coordinate plane has three vertices A(2 , 3), B(5, 4), and C(3, 6). Use this description to do the following transformations (if needed, draw this triangle on a sheet of paper):
a. Dilation 1: What would be the new coordinates if this triangle were dilated to a scale factor of 2 with the center of the dilation at the origin? How did you determine these points?
b. Dilation 2: What would be the new coordinates if this triangle were dilated to a scale factor of 2 with the center of the dilation at the point (6, 8)? How did you determine these points?
c. What series of transformations would carry dilation 1 onto dilation 2? Compare Dilation 1 to Dilation 2. Explain what conclusions you can draw about the scale factor, difference in area, and center of dilation.
d. What is the proportion of the side lengths from Dilation 1 to Dilation 2? What is the proportion of their angle measures? Explain your answer.
The dilation by a scale factor of 2 of the points A(2, 3), B(5, 4), C(3, 6) gives;
a. A'(4, 6), B'(10, 8), C'(6, 12)
b. A'(-2, -2), B'(4, 0), C'(0, 4)
c. The transformation that would carry dilation 1 onto dilation 2 is T(-6, -8)
The area of dilation 1 and 2 are the sameThe center of dilation does not change the aread. The proportion of the side length of Dilation 1 and Dilation 2 is 1:1
The angle measures are the sameHow can the new coordinates be found?The general formula for finding the coordinates of the image of a point following a dilation is presented as follows;
[tex]D _{(a , \: b)k}(x, \: y) = (a + k \times (x - a) , \: b+ k \times (y - b))[/tex]
Where;
(a, b) = The center of dilation
k = The scale factor of dilation
(x, y) = The coordinate of the pre-image
The given points are;
A(2, 3), B(5, 4), C(3, 6)
a. The scale factor of dilation = 2
The center of dilation = The origin (0, 0)
Therefore;
[tex]D _{(0 , \: 0)2}(2, \: 3) = (0 + 2 \times (2 - 0) , \: 0+ 2 \times (3 - 0)) = (4, \:6)[/tex]
Therefore dilation about the origin, with a scale factor of 2 gives;
A(2, 3) → A'(4, 6)Similarly
B(5, 4) → B'(10, 8)C(3, 6) → C'(6, 12)b. With the center of dilation at (6, 8), we have;
[tex]D _{(6 , \: 8)2}(2, \: 3) = (6 + 2 \times (2 - 6) , \: 8+ 2 \times (3 - 8)) = (-2, \:-2)[/tex]
A(2, 3) → A'(-2, -2)[tex]D _{(6 , \: 8)2}(5, \: 4) = (6 + 2 \times (5 - 6) , \: 8+ 2 \times (4 - 8)) = (4, \:0)[/tex]
B(5, 4) → B'(4, 0)[tex]D _{(6 , \: 8)2}(3, \: 6) = \mathbf{(6 + 2 \times (3 - 6) , \: 8+ 2 \times (6 - 8))} = (0, \:4)[/tex]
C(3, 6) → C'(0, 4)c. The difference between the coordinates of the points on dilation 1 and 2 is a shift left 6 places and a shift downwards 8 places
Using notation, we have;
Dilation 1 T(-6, -8) → Dilation 2The area of the images of dilation 1 and 2 are equal given that the scale factor is the same.
The location of the center of dilation does not change the area of the imaged. From the above calculation, given that the difference between pre-image point and the center is multiplied by the scale factor followed by the addition of the x and y-values, the lengths of the sides of dilation 1 and 2 are the same, such that we have;
The proportion of the side lengths is 1Given that the side lengths are the same, by AAA congruency postulate, we have;
The angle measures are the same.Learn more about dilation transformation here:
https://brainly.com/question/12561082
#SPJ1
Answer:
The angle measures are the same.
Step-by-step explanation:
can someone solve this for me ?
Answer: 113.1 ft^3
Step-by-step explanation:
We know the radius is 3 so substitute it in the formula like this...
V = 4/3 π (3)^3
Solve for (3)^3 which is 27.
Next multiply 4/3 by π. Which equals 4.1887....
Then multiply that answer by 27.
And your answer is 113.1 ft^3.
Answer:
[tex]V=108ft^{3}[/tex]
Step-by-step explanation:
[tex]V=\frac{4}{3}(3)(3)^{3}[/tex]
[tex]V=\frac{4}{3}(3)(27)[/tex]
[tex]V=\frac{4}{3} (81)=\frac{324}{3}[/tex]
[tex]V=108[/tex]
Hope this helps
what is the length and width
Answer:
Step-by-step explanation:
144,72
Answer:
If you cut the rectangle in half, you have two squares of area 144 ft², or side length 12 ft.
The length of the rectangle is 24 ft; its width is 12 ft.
Use the diagram to complete the following tasks.
Given: S is the midpoint of QT.
Finish the following statement: AQRS = A_
Identify the congruent Zs.
Justify your answer.
The given statements:
1) ΔQRS ≅ ΔSTU (according to the ASA axiom)
2) The congruent ∠S: ∠RSQ ≅ ∠UST (Vertical angles)
What does the ASA axiom state?The ASA axiom states that "two triangles are said to be congruent if two pairs of corresponding angles and the sides between these angles are equal".
Finding the given tasks:It is given that,
S is the midpoint of QT.
So, SQ ≅ ST <S>
Since ∠S is at the intersection of two transversal lines, ∠RSQ ≅ ∠UST <A>. This is beacuse they are vertically opposite.
And QT is the transverse line for the parallel lines, QR║UT. So, the alternate angles(interior) are congruent. I.e., ∠SQR ≅ ∠UTS <A>.
From this, the given triangles have two equal corresponding angles and congruent sides in between them.
So, ΔQRS ≅ ΔSTU according to ASA axiom.
Therefore, ΔQRS ≅ ΔSTU and ∠RSQ ≅ ∠UST.
Learn more about the ASA axiom here:
https://brainly.com/question/24858837
#SPJ1
To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win
Using the combination formula, the probability that a person with one combination of five numbers will win is:
[tex]\frac{1}{1,221,759}[/tex]
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For this problem, 5 numbers are taken from a set of 45, hence the number of combinations is:
[tex]C_{45,5} = \frac{45!}{5!40!} = 1,221,759[/tex]
Hence the probability is:
[tex]\frac{1}{1,221,759}[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
See photo for problem, please help
Considering the given functions in the graph, we have that:
(f + g)(3) = 4.(f - g)(1) = -2.How to find (f + g)(3) looking at the graph?We look at the graph, and find f(3) and g(3), then add them. Hence:
g(3) = 4.f(3) = 0.Then the addition is:
(f + g)(3) = f(3) + g(3) = 0 + 4 = 4.
As for (f - g)(1):Same logic, at the graph we have that:
f(1) = -1.g(1) = 1.Hence:
(f - g)(1) = f(1) - g(1) = -1 - 1 = -2.
More can be learned about functions at https://brainly.com/question/25950034
#SPJ1
Drag each expression to the correct location on the table. Simplify each exponential expression using the properties of exponents and match it to the correct answer. 3². (33) ².3-8 3 (32) (2-3)-3 2-3 (2-¹)(3- (3-5 1-2) -2)* 3 1 25-35.6-5 (23) (2-3)-¹ 22 113
3 2 1
The expression has been dragged the correct location on the table.
What is an exponential expression?It should be noted that an exponential expression simply means a way to write Lowe's in short form.
In this case, the expression has been dragged the correct location on the table.
This is attached below.
Learn more about exponential on:
brainly.com/question/12940982
#SPJ1
A box contains 65 balls numbered from 1 to 65. If 11 balls are drawn with replacement, what is the probability that at least two of them have the same number?
Using the binomial distribution, there is a 0.265 = 26.5% probability that at least two of them have the same number.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the values of the parameters are:
p = 1/65 = 0.0154, n = 65.
The probability that at least two of them have the same number is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
P(X < 2) = P(X = 0) + P(X = 1)
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{65,0}.(0.0154)^{0}.(0.9846)^{65} = 0.3647[/tex]
[tex]P(X = 1) = C_{65,1}.(0.0154)^{1}.(0.9846)^{64} = 0.3703[/tex]
So:
P(X < 2) = P(X = 0) + P(X = 1) = 0.3647 + 0.3703 = 0.735.
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.735 = 0.265[/tex]
0.265 = 26.5% probability that at least two of them have the same number.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
Which equation is equivalent to
f(x) = 16x4 -81 = 0?
✓(4x² +9)(4x² - 9) = 0 ✓
COMPLETE
Select all of the zeroes of the function.
O
2/3
DONE
The given equation is equivalent to (4x²+9)*(4x²-9) or (4x²+9)*(2x-3)*(2x+3). And the zero of the function are: [tex]\pm \frac{3}{2}[/tex] and [tex]\pm \frac{3}{2}i[/tex].
What is a Quadratic Function?The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
For solving a quadratic function you should find the discriminant: D=b²-4ac and after that use this variable in the formula: [tex]x=\frac{-b\pm\sqrt{D} }{2a}[/tex].
FactoringIn math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: [tex]16x^4-81=0[/tex], you can factor this equation. See below.
(4x²+9)*(4x²-9)
(4x²+9)*(2x-3)*(2x+3)
Therefore, you should choose one of options: (4x²+9)*(4x²-9) or (4x²+9)*(2x-3)*(2x+3).
Next step is to solve the given equation. Solving for (4x²+9)*(2x-3)*(2x+3)=0, then:
For 2x-3=0
x=3/2
For 2x+3=0
x= -3/2
For 4x²+9=0
4x²=-9
x²= -9/4
x = [tex]\pm \sqrt{\frac{-9}{4} }[/tex]
x =[tex]\pm \frac{3}{2}*\sqrt{-1 }\\ \\ \pm \frac{3}{2}*i[/tex]
Read more about complex number here:
https://brainly.com/question/18328250
#SPJ1
In order to avoid double counting, statisticians just count the __________________.
In order to avoid double counting, statisticians just count the final goods and services.
According to the statement
we have to find the procedure which is used by statisticians to avoid the double counting.
final goods and services are the type of way which is used to avoid the double counting.
In other words, statisticians count only the final results rather than the efforts.
So, In order to avoid double counting, statisticians just count the final goods and services.
Learn more about the STATICS here https://brainly.com/question/24756209
#SPJ4
Gavin made a patio area out of square blocks that are by . The area of his patio is and the length is . a) Determine the width of his patio. b) Determine the number of blocks Gavin used to make his patio.
The width of his patio is 19.5 feet based on the information about the area given.
How to calculate the width?Area = Length × Width
175.5 = 19.5 × w
Width = 175.5/19.5
Width = 9 feet
The width of his patio is 19.5 feet.
The number of blocks that were used will be:
= 175.5/(1.5 × 1.5)
= 175.5/2.25
= 78 blocks
Learn more about area on:
brainly.com/question/25292087
#SPJ1
Complete question
Gavin made the patio area out of square block that are 1.5 by 1.5 feet. The area of the patio is 175.5 ft² and the length is 19.5ft.
a. Determine the width of his patio.
b. Determine the number of blocks Gavin used to make his patio.
21+21+7+7+7+7+8+8+8+8+9+9
Answer:
21+21+7+7+7+7+8+8+8+8+9+9
Step-by-step explanation:
amswer is 120
Answer:
Step-by-step explanation:
21+2=42.There are four sevens-which is 7x4=28.There are four eights meaning it is 8x4=32+28=60+42=102+(9+9)=102+18=120
James has $0.50 more than his brother John. The sum of their money is $2.50. how much money does John have
Answer:
Step-by-step explanation:
John has $1.25
James has $1.75
i think
Answer:
$1.00
Step-by-step explanation:
James has $0.50 more than John.
When they put their money together, they have a combined total of $2.50.
[tex]2.50-0.50=2.00[/tex]
[tex]2.00\div2=1.00[/tex]
[tex]1.00+1.50=2.50[/tex]
[tex]=2.50[/tex]
John has one dollar.
Hope this helps.
I need help with cancelling units please
Answer:
D
Step-by-step explanation:
You are looking for what you would need to cancel the yards in 800 yards.
800 yards (1 mile/ 1760 yards). You have yards in the numerator of your original measurement. You will cross cancel out the yard on the the top and the yards on the bottom.
Marty wants to watch two fireworks shows at the same
time. The best view is from a point that is between and
equidistant from each of them. If the shows are located
at the park and the highschool shown, at which point
would Marty get the best view?
Answer:
(8 , 5)
Step-by-step explanation:
• Marty would get the best view ,if he stood at the midpoint
of the line that connect the park to the high school .
• On the coordinates plane ,the park is located at (-4 , -11)
and the high school is located at (20 , 21) .
•• Calculating the midpoint (best position) :
Let M(x , y) be the midpoint.
[tex]x=\frac{-4+20}{2} =8[/tex]
[tex]y=\frac{-11+21}{2} =5[/tex]
Answer:
(8, 5)
Step-by-step explanation:
Given points:
High School = (20, 21)Park = (-4, -11)To find the point that is between and equidistant from the High School and the park, use the formula for midpoint between two points.
Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
Define the endpoints:
[tex]\textsf{Let }(x_1,y_1)=(20,21)[/tex]
[tex]\textsf{Let }(x_2,y_2)=(-4,-11)[/tex]
Substitute the endpoints into the formula:
[tex]\implies \textsf{Midpoint} =\left(\dfrac{-4+20}{2},\dfrac{-11+21}{2}\right) = (8,5)\end{aligned}[/tex]
Therefore, the point at which Marty would get the best view is (8, 5).
Learn more about midpoints here:
https://brainly.com/question/27962681
Sophia for the exponential function f left parenthesis x right parenthesis equals 5 times 2 to the power of x, what is the value of f left parenthesis 3 right parenthesis?
The value of f left parenthesis 3 right parenthesis is 45.
According to the statement
We have given that the F(x) = 5(x)^2
and we have to find the value when Sophia have a 3 right parenthesis.
So, Parenthesis are used in mathematical expressions to denote modifications to normal order of operations.
And now we have to find the value for 3 right parenthesis
And for this purpose we have to put the value X= 3 in the f(x) then
F(x) = 5(x)^2
F(3) = 5(3)^2
F(3) = 5*9
F(3) = 45.
here the value of 3 right parenthesis is 45.
So, The value of f left parenthesis 3 right parenthesis is 45.
Learn more about PARENTHESIS here https://brainly.com/question/1473593
#SPJ4
Keisha devised a week-long study plan to prepare for finals. On the first day, she plans to study for 1 hour, and each successive day she will increase her study time by 30 minutes. How many hours will Keisha have studied after one week
Answer:
17.5 hours
I hope this helps and you can give a brainliest!
Step-by-step explanation:
Given: time spent per day follows the arithmetic sequence 1,1.5,2... (for 7 terms) with first term 1 and common difference 0.5 (in hours)
Concept used: the total study time is the partial sum S7of the given arithmetic series.
Calculation: As the number of terms is small, it can be calculated by hand.
S7 = 1+1.5+2+2.5+3+3.5+4
S7= 17.5 hours
Conclusion: Total time spent after one week is 17.5 hours
Answer:
17 and 1/2 hours.
Step-by-step explanation:
this is an arithmetic series with common difference 0.5 hours.
Number of hours after 7 days
= (n/2)[2a + (n -1)d]
= (7/2)(2*1 + (7-1)0.5)
= 3.5 * 5
= 17.5 hours
20% of a number is 17 . find the number
Answer:
x = 85Step-by-step explanation:
20% of a number is 17 . find the number
divide 17 by 20 and you find 1%, multiply by 100 and you get 100%
x = 17 : 20 * 100
x = 0.85 * 100
x = 85
f(x) = 7x
g(x) = 7x + 6
Which statement about f(x) and its translation, g(x), is true?
The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}.
The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}.
The asymptote of g(x) is the asymptote of f(x) shifted six units down.
The asymptote of g(x) is the asymptote of f(x) shifted six units up.
The statement which is true about the translation is; The asymptote of g(x) is the asymptote of f(x) shifted six units down.
Which statement is true about the translation?Since it follows from the task content that the function g(x) represents a 6 units vertical shift downward, it can then be concluded in the same regard that The asymptote of g(x) is the asymptote of f(x) shifted six units down.
Therefore, the true statement is; the asymptote of g(x) is the asymptote of f(x) shifted six units down.
Read more on translation;
https://brainly.com/question/1046778
#SPJ1
Compute a value for t that satisfies the equation below. "-2/3" t - 2 = - 3
Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
Solve the quadratic equation 2x2-1 = 7 x. write your answer correct to two decimal places
Answer:
Step-by-step explanation:
You have 2 x's. I think the first one is for multiplication and the second one is a variable.
2x2 -1 = 7x
4-1 = 7x (first multiple 2x2)
3=7x (second 4-1)
0.428571429 = x (Divide both sides by 7. On the left side, 3/7 is 0.428571429 and 7x/7 is just x because the 7s cancel out.
Since the answer needs to be to two decimal places, I have to decide if 0.428571429 is closer to 0.42 or 0.43 Since the digit after the 2 in the answer is 8, that makes the number closer to 0.43 than 0.42. So, the final answer is 0.43
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is
°C higher than the average daily minimum temperature.
By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.
What is the difference between the average daily maximum temperature and the average daily minimum temperature?
Herein we must find the difference bewteen the two temperatures, defined as the subtraction of the minimum temperature from the maximum temperature:
x = 21.85 °C - (- 4.7 °C)
x = 26.55 °C
By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.
To learn more on differences: https://brainly.com/question/1927340
#SPJ1
PLS HELP IM STUCK PLS
Answer:
See below
Step-by-step explanation:
Slope, m of given line = - 1/2
perpendicular slope is = -1/m = -1 / (-1/2) = +2
Point (6,9) slope form of line
y -9 = 2(x-6) expand and simplify
y - 9 = 2x -12
y = 2x -3
Which expression is equivalent to?
3/2
Answer:
D
Step-by-step explanation:
simplified is 1 1/2, 1.5 or 3/2
If the graph of f(x) = 4 ^ x is shifted 6 units up, then what would be the equation of the new graph?
The equation of the new graph g(x) is expressed as g(x) = 4^x + 6
Exponential equationThe standard exponential equation is expressed as y = ab^x. Exponential equation is inverse of logarithmic equation.
Translation of coordinatesTranslations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the function f(x) = 4^x
If the function is shifted 6 units up, the function g(x) is derived by adding 4 to the function f(x). The resulting function is given as;
g(x) = f(x) + 6
g(x) = 4^x + 6
Hence the equation of the new graph g(x) is expressed as g(x) = 4^x + 6
Learn more on translation here: https://brainly.com/question/1046778
#SPJ1
POSSIBLE OUTCOMES!!!
A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles.
a. Find the probability of tossing a head and drawing a red marble. Explain your reasoning.
b. Find the probability of drawing two blue marbles if the first marble is not replaced. Explain your reasoning.
The probability of drawing two blue marbles if the first marble is not replaced is 1/5
How to determine the probabilities?The probability of tossing a head and drawing a red marble
The given parameters are:
White = 1
Blue =3
Red = 2
Total = 6
The probability of a head is
P(Head)= 1/2
The probability of drawing a red marble is
P(Red)= 2/6 = 1/3
The required probability is
P = P(Head) * P(Red)
This gives
P = 1/2 * 1/3
P =1/6
The probability of drawing two blue marbles if the first marble is not replaced.
Here, we have:
P(B1) = 3/6 = 1/2
P(B2) = 2/5
The required probability is
P = P(B1) * P(B2)
This gives
P = 1/2 * 2/5
P =1/5
Hence, the probability of drawing two blue marbles if the first marble is not replaced is 1/5
Read more about probability at:
https://brainly.com/question/24756209
#SPJ1
Find the polynomial function in standard form that has the zeros listed. i and -i
The polynomial function in standard form that has the zeros listed. i and -i is x² +1 = 0.
What is polynomial function?A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions.
The values of x that fulfil the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.
Calculation for the polynomial function-
The general two degree/quadratic equation is given by-
ax² + bx + c = 0
Where a ≠ 0
If the two roots of the equation are x1 and x2.
Then the relation between roots and coefficients of the polynomial are -
The sum of the roots = (- coefficient of x)/(coefficient of x²)x1 + x2 = (-b)/a
The multiplication of the roots = constant/coefficient of x²x1.x2 = c/a
From the above two relation the general equation can be written as-
x² -(x1 - x2)x + x1.x2 = 0
Lets say x1 = i and x2 = -i
Substitute the values of x1 and x2 in the general equation
x² -(i - i)x + (i).(-i) = 0
x² - i ² = 0
x² + 1 = 0
Therefore, the polynomial function in standard form that has the zeros listed. i and -i is x² + 1 = 0.
To know more about Polynomial Function, here
https://brainly.com/question/10918240
#SPJ4
The fitness center held a weight loss competition in which 128 people participated. The amount of weight loss was normally distributed with a mean of 18 pounds and a standard deviation of 5.4 pounds. Approximately how many people lost at least 15 pounds?
Select one:
a. 72
b. 78
c. 84
d. 90
Answer:
d. 90
Step-by-step explanation:
z = (x - mean)/SD = (15 - 18)/5.4 = - 3/5.4 = -0.55555555... ≈
≈ -0.56
remember the z-table represents the rounded values.
the z-table at -0.56 gives us the p-value of 0.28774.
that is the probability to the left of 15 pounds, so, the probability to have lost 15 pounds or less.
to have lost at least 15 pounds, we have to get the right side of 15 pounds in the bell curve.
and that is 1 - 0.28774 = 0.71226
so, the probability to have lost at least 15 pounds is therefore 0.71226.
how many people are that ?
well, there were in total 128 people (with the total probability of 1 representing everything).
the number of people that lost at least 15 pounds are the proportionate share of 0.71226 of 1 (the whole) :
128 × 0.71226 = 91.16928...
so, the closest answer option is d. 90
please help me im in a rush
Answer:
7.6
Step-by-step explanation:
mean = [weights] / amount of weights
m = 10 + 7 + 6 + 10 + 13 + 10 / 6
m = 46 / 6
m = 7.66666666 (recurring)
m = 7.6