Given, z is a standard normal random variable, the area to the right of z is 0.9803. It implies the area to the left of z is `1 - 0.9803 = 0.0197`. So, the correct option is: -2.06.
Since z is a standard normal random variable. By using a standard normal table, we find that the z-value corresponding to the area 0.0197 is -2.06.
The standard normal random variable z-value for the given problem is `-2.06`. Therefore, the correct answer is: option -2.06.
Note: The standard normal table (also called the z-score table) shows the area under the standard normal distribution curve between the mean and a specific z-score.
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Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles.
Answer:
A&C are similar; others are not similar
Step-by-step explanation:
An easy way to check for similarity among rectangles is to look at their aspect ratio. The ratio of long side to short side for each rectangle is ...
A: 100/80 = 5/4
B: 120/100 = 6/5
C: 90/72 = 5/4
Rectangles A and C are similar. No other pair is.
Answer:
A and C
Step-by-step explanation:
In triangle ABC,the measure of angle A is 78° and the measure of angle B is 35° What is the measure of angle C
Answer:
č= 67°
Step-by-step explanation:
x + 78+35=180
x + 113=180
x= 180-113
x= 67 degrees
Use point-slope form to write the equation of a line that passes through the point
(-1, 3) with slope-11/6
Answer:
y-3= -11/6(x+1)
Step-by-step explanation:
y-3 = -11/6(x-(-1)
y-3 = -11/6(x+1)
What is the median of 8, 7.5, 6, 5.75, 10.25, 13.75, 6.5, 8.75, 9, 8, 9.25, 10, 8.25, 8.25, 9.25, 11, 6.75, 7, 9.5, 8.5
Answer:
8.375
Step-by-step explanation:
5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75
8.25 + 8.5 = 16.75
16.75/2 = 8.375
you are ordering shirts for a club at your school. the function f(x)=8x+12 represents the cost of ordered x shirts how much would it cost to buy 32 shirts
The cost of ordering shirts for a club is 268 units.
Define Function.
A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.
This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).
The statement that f is a function from X to Y using the function notation f: X→Y
The function that represents the cost of the shirts(x) is f(x) = 8x+12
Now, for x = 32
f(x) = 8x+12
f(32) = 8(32) + 12
= 256 +12
f(32) = 268 units
.
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The director of marketing at Reeves Wholesale Products is studying monthly sales. Three independent variables were selected as estimators of sales: regional population, per capita income, and regional unemployment rate. The regression equation was computed to be (in dollars): y= 64,100 + 0.394 X1 + 9.6X2 - 11,600X3. What are the estimated monthly sales for a particular region with a population of 796,000, per capita income of $6,940, and an unemployment rate of 6.0%?
The regression equation for the monthly sales is given as:
y = 64,100 + 0.394X1 + 9.6X2 - 11,600X3
where:
y represents the estimated monthly sales in dollars
X1 represents the regional population in thousands
X2 represents the per capita income in dollars
X3 represents the regional unemployment rate as a percentage
To find the estimated monthly sales for a particular region with a population of 796,000, per capita income of $6,940, and an unemployment rate of 6.0%, we need to substitute these values in the regression equation and solve for y.
Substituting X1 = 796, X2 = 6,940, and X3 = 6.0 in the regression equation, we get:
y = 64,100 + 0.394(796) + 9.6(6,940) - 11,600(6.0)
y = 64,100 + 313.184 + 66,384 - 69,600
y = $60,297.184
Therefore, the estimated monthly sales for the particular region is $60,297.184.
The estimated monthly sales for the particular region, given a population of 796,000, a per capita income of $6,940, and an unemployment rate of 6.0%, would amount to approximately $149,190.
To calculate the estimated monthly sales, we substitute the values of the independent variables (population, per capita income, and unemployment rate) into the regression equation. The equation is as follows: y = 64,100 + 0.394X1 + 9.6X2 - 11,600X3.
Plugging in the values, we get:
y = 64,100 + 0.394(796,000) + 9.6(6,940) - 11,600(6.0)
= 64,100 + 313,624 + 66,624 - 69,600
= 374,748 - 69,600
= $305,148.
Therefore, the estimated monthly sales for the particular region would amount to approximately $305,148.
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What’s the answer someone please help
Answer:
Step-by-step explanation:
Ok:
1. This is a percent problem!
45/100*15=
675/100=
6.75
2. Subtract:
15-6.75=
8.25$
Answer: 8.25$
this is a super difficult math worksheet for me so please help ASAP
Answer:
Step-by-step explanation:
function notation
1) -13
2) -4
3) 7
4) 23
5) 13
6) -4
7) 14
8) -1
9) 15
10) 0
function operations
1) -3x^2 + 11x -4
2) 6x - 12
3) 3x^2 - 2x + 5
4) x^2 - 4x + 5
5) 27x^2 - 32x
6) 2x^5 + 4x^4 - 5x^3 - 10x^2
7) -6x^4 + 8x^3 + 15x^2 - 20x
8) 3x^4 - 2x^3 - 16x^2
2 is subtracted from a number,and rhen the difference is multiplying by 5. the result is 30.find the number
Answer:
8
Step-by-step explanation:
x-2= x x×5=30 (make x the subject).So x=30÷5=6x-2=6x=6+2x=8I need help with this question
Answer:
286 Degrees
Step-by-step explanation:
A circle is 360 degrees, and from the question, we know that it is asking for ACB, so it would be 360 - 74, which is 286 degrees
Brainliest Maybe?
9a-ab+5b
if a=2 and b=7
Answer:
39
Step-by-step explanation:
9a=18 ab=14 5b=35
18-14+35=39
Answer:
39
Step-by-step explanation:
9a-ab+5b
a=2 and b=7
we substitute the variables with their real numbers
9(2)-(2 x 7)+5(7)
from here we just simplify the equation
18-14+35=39
The stray dog population in a local city is currently estimated to be 1,000. The expected annual rate of increase is predicted to be 0. 7. What will the population be in 4 years? Round your answer to the nearest whole number
We have been given that the stray dog population in a local city is currently estimated to be 1,000. The expected annual rate of increase is predicted to be 0.7.
We are supposed to find out what the population will be in 4 years. We can calculate this using the exponential growth formula.The exponential growth formula is given by,P = P₀(1 + r)n
Where, P₀ is the initial population r is the annual rate of increase expressed as a decimal I
n is the number of years P is the population after n years
Substituting the given values, we get,P = 1000(1 + 0.7)⁴
On simplifying this expression, we get,
P = 1000(1.7)⁴
P = 1000 × 3.2856P
≈ 3286
Therefore, the population will be approximately 3286 in 4 years. Hence, option C is the correct answer.
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URGENT PLZ ANSWER QUICKLYYY
Answer:
x- number of seats in section Ay - number of seats in section BA group of at most 10 people:
x + y ≤ 10Don't want to spend more than $450 (they can spend $450 or less):
50x + 40y ≤ 450A graph is attached with three possible combinations included
Answer:mkl;o
k
Step-by-step explanation:
m
What is the value of x?
Responses
8
8√2
16√2
16
Answer:
the value of x in this question is 2
Step-by-step explanation:
first of all you will take 2 as your number to divide 8 then with the help of the square root you multiply 8 by 2 to get 16 and that is your answer
The graph of f(x) = x has been horizontally shrunk by a factor of 4. If no other transformations of the function have occurred, which point lies on the new graph?
(–1, –4)
(–4, –1)
(1, StartFraction one-fourth EndFraction )
(1, negative StartFraction one-fourth EndFraction )
Using translation concepts, the point that lies on the new graph is given by: (-1, -4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The equivalent translation to an horizontal shrink by a factor of a a function f(x) is given by:
f(ax).
Hence, in this problem, for the horizontal shrink by a factor of 4, the function will be given by:
g(x) = f(4x) = 4x.
Then when x = -1, the output is given by:
g(-1) = 4(-1) = -4.
The point that lies on the new graph is given by: (-1, -4).
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Which best explains why the given lines are or are not parallel y= -5 , y=3
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Answer:
umm is there a diagram for this?
Given that f(x) = x^2 - 8x + 12 and g(x) = -6, find (f/g)(x) and express the result in standard form
We are given the following two functions
\(\begin{gathered} f(x)=x^2-8x+12 \\ g(x)=-6_{} \end{gathered}\)We are to find (f/g)(x)
(f/g)(x) is basically the division of function f(x) by function g(x)
\((\frac{f}{g})(x)=\frac{f(x)}{g(x)}=\frac{x^2-8x+12}{-6}=\frac{x^2}{-6}-\frac{8x}{-6}+\frac{12}{-6}=-\frac{1}{6}x^2+\frac{2}{3}x-2\)Therefore, the function (f/g)(x) is
\((\frac{f}{g})(x)=-\frac{1}{6}x^2+\frac{2}{3}x-2\)What is system of linear equations with no solution
The system of equations with no solutions is the second one:
3x - 7y = 22
4.5x - 10.5y = 44
Which system of equations has no solutions?When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).
So we need to identify the system of linear equations where the lines are parallel.
If you look at the second system of equations, we have:
3x - 7y = 22
4.5x - 10.5y = 44
We can multiply the first equation by 1.5 to get:
1.5*(3x - 7y) = 1.5*22
4.5x - 10.5y = 33
Then the system is:
4.5x - 10.5y = 33
4.5x - 10.5y = 44
We can see that these lines are parallel,and thus, this system has no solutions.
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solve the equation v3 = 12
Answer: v= root[3] {12}=2.2894
Step-by-step explanation:
Answer:Your answer is V=4
Step-by-step explanation:Need brainliest award
Tina solved an equation incorrectly, as shown below:
Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16
Which statement best explains why Step 2 is incorrect in Tina's solution?
Answer:
Step 2 should be division, not subtraction.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
8x = 24
Step 2: Solve for x
Divide both sides by 8: x = 3We see that 8x is actually 8 times x. Therefore, we would need to use the Division Property of Equality to isolate x and get our answer.
a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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Alonzo split 3/4 pounds of candy among 4 people. What is the unit rate in pounds per person? Write your answer in simplest form.
(10 points, brainliest, thanks and 5 if correct! IF! also it is due today)
When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person
What is unit rate?The ratio of two measures, with one as the second of the item, is known as unit rate.
For the problem where Alonzo have to split 3/4 pounds of candy, the unit rate is solved by division.
In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate
The unit rate of candy in pounds per person
= 3/4 pounds / 4 persons
= 3/16 pounds per person
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Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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Brooke cooked a 4/1/3-pound lasagna in 1/1/3 hours. How many hours per pound did it take to cook the lasagna?
Answer:
4/13 hours
Step-by-step explanation:
Total pounds of lasagna = 4 1/3 pounds
Total time taken to cook = 1 1/3 hours
How many hours per pound did it take to cook the lasagna?
Hours per pound of lasagna = Total time taken to cook / Total pounds of lasagna
= 1 1/3 hours ÷ 4 1/3 pounds
= 4/3 ÷ 13/3
= 4/3 × 3/13
= 4/13 hours
It will take 4/13 hours to cook each pound of the lasagna
Mary has $311.75 to convert into yen. the currency exchange she is using charges a surcharge of 6% when converting currency. about how many more yen will mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate? a. ¥1,125 b. ¥1,513 c. ¥1,609 d. ¥1,706
Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.
What is the exchange rate?It is the factor by which currency conversion of two countries is done.
The most Favorable day is Friday because the exchange rate on Friday is the highest.
So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100
Mary will receive on Friday(a)=27168.788 Yen
The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.
So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100
So, Mary will receive on Wednesday(b)= 25,656.2949 Yen
Difference between (a) and (b) = 1512.4931 Yen
Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.
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Density of an aggregate particle is higher than the bitumen's density. True False Compaction and mixing temperature of asphalt mix depends on the bitumen type. O True False Stone Mastic Asphalt is a gap graded type of mixture. True False
Density of an aggregate particle is higher than the bitumen's density (False)
Compaction and mixing temperature of asphalt mix depends on the bitumen type (False)
Stone Mastic Asphalt is a gap graded type of mixture (True)
(1) The density of an aggregate particle is generally lower than the density of bitumen. Aggregates are typically composed of various types of rock materials, which have a lower density compared to the bitumen binder used in asphalt mixtures.
The aggregate particles are mixed with the bitumen to form asphalt, where the bitumen acts as a binder that holds the aggregates together. Due to the difference in density, the aggregates provide the necessary structural strength to the asphalt mix, while the bitumen fills the voids between the aggregates, providing cohesion.
(2) The compaction and mixing temperature of an asphalt mix do depend on the type of bitumen used. Bitumen is available in different grades or types, which have varying characteristics such as viscosity and temperature susceptibility. The type of bitumen selected for an asphalt mix influences its workability and performance.
The compaction temperature refers to the temperature at which the asphalt mixture can be adequately compacted during construction. Similarly, the mixing temperature is the temperature at which the bitumen and aggregates are combined to form the asphalt mix. The specific type of bitumen chosen will determine the ideal temperature range for achieving proper compaction and mixing of the asphalt mix.
(3) Stone Mastic Asphalt (SMA) is indeed a gap graded type of mixture. SMA is a specialized asphalt mix designed for high-stress applications, such as heavy traffic loads and extreme climates. It consists of a high content of coarse aggregates, a smaller amount of fine aggregates, and a relatively low amount of bitumen.
The gap-graded nature of SMA refers to the deliberate omission of intermediate-sized aggregates, creating voids or gaps between the larger aggregates. These gaps are then filled with a specially formulated mastic, which is a mixture of fine aggregates and bitumen. The gap-graded structure of SMA enhances its durability, rut resistance, and skid resistance, making it suitable for demanding pavement conditions.
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Aship leaves port on a bearing of 34 0 and travels 13,5 mi. The ship then turns due east and travels 3.7 mi. How tar is the ship from port, and what is its bearing from port?
The ship is approximately 14.879 miles away from the port, and its bearing from the port is approximately 26.35°.
To find the exact values of the ship's distance from the port and its bearing from the port, we can perform the necessary calculations.
Ship's movement on a bearing of 34.0°:
Horizontal component = 13.5 mi * cos(34.0°) ≈ 11.1764 mi
Vertical component = 13.5 mi * sin(34.0°) ≈ 7.3564 mi
Ship's movement due east:
Horizontal component = 3.7 mi
Vertical component = 0
Vector addition:
Horizontal displacement = 11.1764 mi + 3.7 mi ≈ 14.8764 mi
Vertical displacement = 7.3564 mi + 0 ≈ 7.3564 mi
Distance from the port:
Distance = √(Horizontal displacement² + Vertical displacement²)
= √(14.8764 mi² + 7.3564 mi²)
≈ √(221.142 m²)
≈ 14.879 mi
Bearing from the port:
Bearing = arctan(Vertical displacement / Horizontal displacement)
= arctan(7.3564 mi / 14.8764 mi)
≈ 0.4601 rad (in radians)
≈ 26.35° (in degrees)
The ship is approximately 14.879 miles away from the port. The ship's bearing from the port is approximately 26.35°.
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--The given question is incomplete, the complete question is given below " Aship leaves port on a bearing of 34.0° and travels 13.5 mi. The ship then turns due east and travels 3.7 mi. How tar is the ship from port, and what is its bearing from port?"--
how do I show work for 1/3 (y+7) = 3 (y-1)
Answer:
1/3(y+7)=3(y-1)
(y+7)/3=(3y-1)
by cross multiplying
3(3y-1)=(Y+7)
9y-3=y+7
take like terms
9y-y=7+3
8y=10
y=10/8
read the picture plsssssssssss