So the best actor's age deviates from the mean, he receives the award at the most extreme age.
What is defined as the z score?The z-score of a way of measuring X in a set with mean and standard deviation is given by: z = (x - μ)/σ.The Z-score indicates how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value connected with this z-score. This p-value represents the probability also that measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the probability that measure's value is greater than X.In response to this question:
Whichever z-score does have the highest absolute value, such that, the one that deviates the most from the mean, has a most extreme age.
Best actor: 31 years old, so.
The mean age of the best actors is 42.2 years, with a standard deviation of 8.2 years.
z = (x - μ)/σ
Put the values;
z = (31 - 42.2)/ 8.2
z = -1.36
Best actress:
So, at the age of 42,
The mean of the best actresses is 31.6 years, with a standard deviation of 10.3 years.
z = (x - μ)/σ
Put the values;
z = (42 - 31.6)/10.3
z = 1.01
Thus, Because the best actor's age is further from the mean, he has the most extreme age when receiving the award.
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1.
Solve the Decimal Division Application. Round to the nearest tenth if needed.
There is approximately 0.16 square inches in 1 square centimeter. Determine
how many square centimeters are in 64 square inches.
40,000 square centimeters
10.2 square centimeters
400 square centimeters
4,000 square centimeters
Answer:
c, 400
Step-by-step explanation:
64 square in. = 412.902 square cm
412.902 rounded equals 400
hope that helps <3
Ellen's living room is 5 meters wide and 7 meters long. She wants to install indigo carpet that costs $10.00 per square meter. How much will it cost to buy enough carpet for the living room?
It will cost $350.00 to buy enough carpet for the living room.
What is an area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of the three-dimensional object.
Now it is given that,
Length of room,l =
Width of room, w =
So, area of the room = l*w = 7*5
⇒ area of the room = 35 square meter
Since, indigo carpet costs $10.00 per square meter
Thus, total cost to install the carpet = area of the room*carpet costs
⇒ total cost to install the carpet = 35*10
⇒ total cost to install the carpet = $350
Thus, It will cost $350.00 to buy enough carpet for the living room.
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PLEASE HELP
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
2 x 102
2 x 103
0.7 x 101
6.67 x 102
The amount of times that the the bacterial cell is smaller than the amoeba cell is; 150 times
How to use law of indices?
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.
We are given;
Length of a bacterial cell = 3 * 10⁻⁶ m
Length of an amoeba cell = 4.5 * 10⁻⁴ m
Thus, to get the amount of times that the bacterial cell is smaller than the amoeba cell, we need to convert the Length of a bacterial cell to have same exponent as that of the Length of an amoeba cell before dividing.
Thus;
Length of a bacterial cell = 3 * 10⁻⁶ m
Length of an amoeba cell = 450 * 10⁻⁶ m
Thus, the amount of times that the the bacterial cell is smaller than the amoeba cell is;
(450 * 10⁻⁶)/(3 * 10⁻⁶) = 150 times
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Se desea estimar el ingreso familiar medio de los padres de familia de un barrio
de Arequipa con un error no exceda a 10 nuevos soles. ¿Qué tamaño, como
mínimo, debe tener la muestra para que la media sea estimada con una precisión
del 95%, si se sabe que la desviación estándar de los salarios mensuales es de 50
nuevos soles?
Using the z-distribution, it is found that a sample size of 97 is required.
What is a z-distribution confidence interval?The confidence interval is as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is given by the following rule:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.For this problem, considering a margin of error of 10, the parameters are given by:
[tex]M = 10, \sigma = 50[/tex]
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Then we take the margin of error equation and solve for n as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{50}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 50 \times 1.96[/tex]
[tex]\sqrt{n} = 5 \times 1.96[/tex]
[tex](\sqrt{n})^2 = (5 \times 1.96)^2[/tex]
n = 96.04
Rounding up, as a sample size of 96 results in M > 10, we have that:
A sample size of 97 is required.
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how much would $500 invested at 4% interest compounded monthly be worth after 7 years ? A(t)=P*e^nt
The worth of the investment is $1.51 * 10^39
How to determine the compound amount?The given parameters are
Principal, P = $500
Rate, r - 4%
Time, t = 7 years
Number of times, n = 12
So, we have:
A(t)=P*e^nt
This gives
A(12) = 500 *e^(12 * 7)
Evaluate
A(12) = 1.51 * 10^39
Hence, the worth of the investment is $1.51 * 10^39
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use whole numbers and decimals to write 19.06 in expanded form
Answer:
19 + 0.06
taking out the whole number leaves you with 0.06
or you could do 10 + 9 +0.06
if you want to split it up more
The expanded form of the number 19.06 is 1×10 + 9×1 + 0/10 + 6/100.
What are the standard form and expanded form of numbers?Numerology can be expressed in a variety of ways. Word form is a means of expressing numbers verbally. Numbers can be written in expanded form by indicating the value of each digit. The digits 0 through 9 are used to write numerals in standard form, and each digit has a place value.
Given, A number in a decimal form which is 19.06.
This can be written as,
1×10¹ + 9×10⁰ + 0/10¹ + 6/10².
1×10 + 9×1 + 0/10 + 6/100.
Each digit has a face value and a place value.
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Find an equation of the line that has a slope of 5 and a
y
-intercept of
(
0
,
8
)
. Write your answer in the form
y
=
m
x
+
b
.
how far would the plane fly in 3 hours? in 3.5 hours?
A bakery is 12 meters wide and 19 meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $23.37 per meter. How much will the baker's shelf cost?
The cost of the baker's shelf is $1,448.94
How to calculate the cost of the baker's shelf ?
The length of the bakery is 12 meters
The width of the bakery is 19 meters
The wooden shelf costs £23.37 per meter
The cost can be calculated as follows
2(12+19) × 23.37
= 2(31) × 23.37
= 62 × 23.37
= 1,448.94
Hence the cost of the baker's shelf is $1,448.94
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4x-2y=20 x+y=-1
ayuda!!!!es urgente!!!!!!!!!
Answer:
Step-by-step explanation:
Seven times the sum
of a number,n, and four
Answer:
7(n + 4) or 7×(n + 4)
Step by step explanation:
A city in Texas started the day at -5 degrees Fahrenheit. The temperature increased by 15.1 degrees by nightfall. What is the final temperature at nightfall?
Step-by-step explanation:
Add 15.1 to -5-5 + 15.1 = 10.1Answer:
The final temperature is 10.1 degrees Fahrenheit
The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of people in the pool.
0123456201614434285574697888
median =
years (Do not round)
The median is 16.
What is the median?A stem-and-leaf plot is a table that is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.
Median can be described as the number that occurs in the middle of a data set that is arranged either in ascending or descending order.
The median of 21 numbers would be the 11th number. The 11th number is 16.
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Which expression are equivalent to X+2y+x+2
A)2(x+y+1)
B)2x+4y+4
C)none of the above
A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 16 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 4 minutes. If we assume that attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Lower Limit:
Upper Limit:
Using the t-distribution, the limits of the 95% confidence interval are given as follows:
Lower: 30.9.Upper: 35.1.What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 16 - 1 = 15 df, is t = 2.1315.
The other parameters are given as follows:
[tex]\overline{x} = 33, s = 4, n = 16[/tex]
Hence the bounds of the interval are given as follos:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 33 - 2.1315\frac{4}{\sqrt{16}} = 30.9[/tex][tex]\overline{x} + t\frac{s}{\sqrt{n}} = 33 + 2.1315\frac{4}{\sqrt{16}} = 35.1[/tex]Which are the lower and the upper bound, respectively.
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Refer to the number line. Find the coordinate of point C that’s is 7/8 of the distance from M to J
Answer:
C = 16
Step-by-step explanation:
Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.
DistanceThe distance from M to J is the difference of their coordinates:
J -M = 18 -2 = 16
7/8 of that distance is ...
(7/8)(16) = 7(16/8) = 7(2) = 14
You are being asked for the coordinate of the point that is 14 units from M in the direction of J.
PointTo find the coordinate of C, we add the desired distance to the coordinate of M:
C = M +14
C = 2 +14 = 16
The coordinate of point C is 16.
Three times the number m plus five equals fourteen.
Answer:3
Step-by-step explanation:
3m+5=14
-5
3m=9
m=3
what is the linear equation that has a y-intercept of -4 and a x-intercept of -5
The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
Equation of a lineThe equation of a line in slope intercept form is expressed y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:
Slope = y₂-y₁/x₂-x₁
Slope = 4/-5
Slope = -4/5
Determine the equation
y = -4/5x + (-4)
y = -4/5x - 4
Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
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The breadth of the rectangular garden is 2
3
of its length. If its perimeter is 40 cm, what are its
dimensions.
Answer:
Length = 12cm
Width = 8cm
Step-by-step explanation:
Let the length be x
Let the width be 2/3x
Perimeter = 2 (l+b)
Length = 2 (x+2/3x) = 40
= x + 2/3x = 40/2
= x + 2/3x = 20
= x/1 + 2/3x = 20
LCM = 3
= 3x + 2x = 20
______
3
= 3x + 2x = 20 x 3
= 5x = 60
= x = 60/5
= x = 12
Width = 2/3 of 12
= 2/3 × 12
= 8
Which expression is the completely factored form of x³ + 8y6 ?
O (x+2y²) (x² - 2xy² + 4y¹)
○ (x+2y²) (x² + 4yª)
○ (x+2y²)³
(x − 2y²) (x² + 2xy² + 4y¹)
-
Attached is the Correct Answer Please verify yours.
[tex](x + 2 {y}^{2} )( {x}^{2} - 2x {y}^{2} + 4 {y}^{4} )[/tex]
larger of two numbers is 13 more than twice the smaller number. the sum of the numbers is 52. find each number
Answer:
13 and 39
Step-by-step explanation:
let the smaller number be n then the larger number is 2n + 13 , so
n + 2n + 13 = 52
3n + 13 = 52 ( subtract 13 from both sides )
3n = 39 ( divide both sides by 3 )
n = 13
2n + 13 = 2(13) + 13 = 26 + 13 = 39
then smaller number is 13 and larger number is 39
(-4c³d)²
someone answer this asap i’ll make it the brainiest please
The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?
Solve the proportion StartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFraction to answer the question. Explain your steps.
Answer:3/4 teaspoons Trust me it is correct
The number of teaspoons of pepper required for beef is ( 3 / 4).
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes the number of teaspoons required for 9 potatoes will be calculated as below:-
3 potatoes = ( 1 / 4 ) teaspoon
1 potato = ( 1 / 12 ) teaspoon
9 potatoes = 9 / 12 teaspoon
9 potatoes = 3 / 4 teaspoon
Therefore, the number of teaspoons of pepper required for beef is ( 3 / 4).
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Whats the value for w?
Hey there!
|6w - 18| = 12
You can say:
|6w - 18| = 12
6w - 18 = 12 or 6w - 18 = -12
First let’s solve for: 6w - 18 = 12
6w - 18 = 12
ADD 18 to BOTH SIDES
6w - 18 + 18 = 12 + 18
SIMPLIFY IT!
6w = 12 + 18
6w = 30
DIVIDE 6 to BOTH SIDES
6w/6 = 30/6
SIMPLIFY IT!
w = 30/6
w = 5
Second let’s solve for: 6w - 18 = -12
6w - 18 = -12
ADD 18 to BOTH SIDES
6w - 18 + 18 = -12 + 18
SIMPLIFY IT!
6w = -12 + 18
6w = 6
DIVIDE 6 to BOTH SIDES
6w/6 = 6/6
SIMPLIFY IT!
w = 6/6
w = 1
Therefore, your answer should be:
w = 5 or w = 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
if keiths Baseball game this year, the ratio of times he has gotten on base to the times he has been at bat is 4/14. select 3 ratios that are equivalent to 4/14
The three equivalent ratios to 4/14 are:
b) 2/7c) 8/28d) 6/21.What is an equivalent ratio?Equivalent ratios are ratios having the same proportion to each other when they are put in their simplest forms.
Ratios are how much a variable is in relation to the whole. Ratios are the same as proportions or portions of the whole variable
Ratios can be shown as decimals, fractions, percentages, or with the ratio sign (:).
Data and Calculations:For instance, 2/5 = 0.4 or 40%
2/7 = 4/14 (2 x 2/7) or 0.2857
8/28 = 4/14 (4/14 x 2) or 0.2857
6/21 = 4/14 (4/14 ÷ 2 x 3) or 0.2857
3/4 = 0.75
Thus, the three equivalent ratios to 4/14 are b) 2/7, c) 8/28, and d) 6/21.
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Question Completion:a) 2/5
b) 2/7
c) 8/28
d) 6/21
e) 3/4
During an experiment, the temperature of a mixture changes from 12 1/4°F to 15 3/5°F. What is the percent of the increase in the temperature of the mixture? I need an answer to the as a percent rounded to the nearest hundredth.
During the experiment the temperature changes slightly. Hence
the percentage increase in the temperature of the mixture is 27.35%.
Given, the temperature of the mixture changes from 12 1/4°F to 15 3/5°F
we are asked to determine the percentage of increase in the temperature of the mixture.
Initial temperature = 12 1/4°F
convert it into proper fraction.
= 48+1/4
= 49/4°F
Final temperature = 15 3/5°F
convert it into proper fraction.
= 75+3/5
= 78/5
Therefore, percentage increase:
= Final temp - Initial temp/Initial temp × 100
% Increase = (78/5 - 49/4)/49/4 × 100
% Increase = (78×4 - 49×5/5×4)/49/4 × 100
% Increase = 312-245/5×49 × 100
as 4 gets cancelled from numerator and denominator.
% Increase = 67×100/249
% Increase = 6700/249
% Increase = 27.346%
we need to round it off to the nearest hundredth.
% Increase = 27.35%
Hence the percentage increase in the temperature is 27.35%.
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The reciprocal of 2/19 is
(Type an integer or a fraction.)
Answer:
-19/2
Step-by-step explanation:
If you want the reciprocal you need to change the sign to the opposite and flip the numbers.
Angle Z and Angle X on intersecting lines are vertical angles. If Angle Z is 63°, what is Angle X?
The measure of angles X if Angle Z and Angle X on intersecting lines are vertical angles is 63 degrees
Vertical anglesVertical angles are a pair of opposite angles formed by intersecting lines. In vertical angles, the angles meet at point X.
Given the following parameters
angle Z = 63degrees
If the angleZ and angle X are vertical angles, hence <X = <Z
Therefore;
<X = 63 degrees
Hence the measure of angles X if Angle Z and Angle X on intersecting lines are vertical angles is 63 degrees
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Let f(x)=12(4)x−1. Evaluate f(3)
Answer: f(3)=143
Step-by-step explanation:
f(x)=12(4)x−1
f(x)=48x−1
f(3)=48(3)−1
f(3)=144−1
f(3)=143
Solve for x: −7 < x − 1 < 8 (1 point)
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
The value of x in the inequality is: D. -6 < x < 9
How to Solve an Inequality?Given the inequality, −7 < x − 1 < 8, solve for the possible values of x as shown below:
−7 < x − 1
Add 1 to both sides
-7 + 1 < x - 1 + 1
-6 < x
or
x − 1 < 8
Add 1 to both sides
x - 1 + 1 < 8 + 1
x < 9
Combining both inequalities together, the value of x is: D. -6 < x < 9
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Answer:
98 Glass pitchers.
Step-by-step explanation:
You can determine this is the answer due to multiplying the sum and the product together, making the final answer 98 Glass pitchers. Hope this helped! :D
