The probability that a randomly selected woman does not have red/green colorblindness is 0.98 (98%).
The probability of not having red/green colorblindness is the inverse of the probability of having colorblindness. The probability of having red/green colorblindness is given as 0.92%. To calculate the probability of not having red/green colorblindness, subtract the probability of having colorblindness from 1. 1 - 0.92 = 0.08. This means that the probability of not having red/green colorblindness is 0.08, or 8%. To convert this to a percentage, multiply by 100. 0.08 x 100 = 8%. The probability of not having red/green colorblindness is 8%. This can also be written as 0.98 (98%).
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explain why it is necessary to consider variability around the mean or nominal dimension as a measure of quality.
Variability around the mean or nominal dimension is a measure of quality because it helps to quantify the spread of data and the degree to which it deviates from the expected value.
By considering variability, manufacturers and designers can identify areas for improvement, determine tolerances for product specifications, and ensure consistency in production. Additionally, it helps to identify outliers and inconsistencies in the data which can be indicative of defects or issues in the production process. Furthermore, considering variability helps to assess the risk of non-conformance and predict the performance of a product in real-world scenarios. In short, considering variability helps to improve the overall quality of products and ensure they meet customer expectations.
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Sohail's autumn break lasted x days. Of these, he was out of station for 8 days. For the re-
maining days, his mother promised him Rs. 10 per day to clean up the whole house. At the
end of the break, she was so happy with his work, that she decided to square the amount due
to him. What is the amount that Sohail got?(1 Point)
The algebraic expression that represents the amount that Sohail got is given as follows:
[10(x - 8)]².
How to obtain the expression?His break lasted x days and he was out of station for 8 days, hence the number of days that Sohail worked is given as follows:
x - 8 days.
Each day he earned Rs 10, hence the total amount earned can be modeled as follows:
10(x - 8).
After the amount was squared, the expression is given as follows:
[10(x - 8)]².
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a positive correlation indicates that: as the value of one variable increases, the value of the other increases. as the value of one variable increases, the value of the other decreases. little or no relationship exists between two variables. one variable causes the other.
A positive correlation indicates that: the value of one variable increases, the value of the other increases.
There are many instances in daily life where we employ related variables, such as height and weight. Ice cream sales rise in tandem with rising temperatures. Therefore, we refer to two variables as being correlated when they are connected. There are 4 different kinds. i.e., a perfect correlation, a perfect correlation, a negative correlation, and no correlation.
The supplied two variables move in the same direction when there is a positive correlation (i.e increasing together o decreasing together). So, in this case, the correlation coefficient is positive. We may claim that as one variable rises, the other variable likewise increases since they are going in the same direction.
The necessary response is,
As the values of one variable increase, the values of the other variable also tend to increase.
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Complete question: Two variables have a positive association when
a. the values of one variable tend to increase as the values of the other variable increase.
b. the values of one variable tend to decrease as the values of the other variable increase.
c. the values of one variable tend to increase regardless of how the values of the other variable change.
d. the values of both variables are always positive
$1.76 Red Kidney Beans 400g, Can 1. $1.89 Red Kidney Beans 420g, Can 2. $1.00, Red Kidney beans, 125 g, Can 3. $2.40, Red Kidney Beans, 500g, Can 4. Which can of red kidney beans costs the least per gram?
Answer:
Can 3. $2.40, Red Kidney Beans, 500g, Can. This can costs $0.0048 per gram.
2 cos^2 x - 3 cos x +1 =0
Angle x's cosine is doubled in 2cosx, which ranges from [-2, 2]. The cosine of the angle 2x, or two times the angle x, is called cos 2x, and it lies between [-1, 1].
What makes 2cosx and cos2x different from one another?Trigonometric function cos 2 x is a cosine of angle that is twice as large as angle, whereas trigonometric function 2 cos x is twice as large as angle.
What is the equivalent of 2sinxcosx?Due to the fact that they contain an angle that is twice as large as the angle in their formulas, the identities and formulas of sin 2x, cos 2x, tan 2x, cot 2x, sec 2x, and cosec 2x are referred to as double angle formulas. 2sinxcosx is the sin 2x formula.
2•cos²(x) + cos(x) - 1 = 0
Factoring gives;
(2•cos(x) - 1)•(cos(x) + 1) = 0
2•cos(x) - 1 = 0
cos(x) = 1/2
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Laura has saved $1800 to use as a down payment on a new car. If she wants to continue saving $150 a month, which equation will determine how much money, y, Laura can save in x months?
1800 + 150x = y
150x is the money she makes a month
Y is the total
enjoy :D
A salesman sold 75 percent of his first shipment of 800 units. How many of his next shipment of 600 units must he sell in order to have sold 80 percent of all of the units?
To sell 80% of a total of 1400 units, the salesman must sell 1120 units, and he must sell 520 units from his next shipment of 600 units.
To solve this problem, we need to find out how many units the salesman must sell in order to have sold 80% of the 1400 units in total (800 units from the first shipment and 600 units from the next shipment).
The 80% of the total number of units is calculated as:
0.8 * 1400 = 1120 unitsTo find out how many units from the next shipment the salesman must sell, we subtract the number of units from the first shipment (800 units) from the total number of units that need to be sold (1120 units), which results in:
1120 - 800 = 320 unitsFinally, we subtract the number of units the salesman has already sold from the next shipment (600 units) from the number of units he still needs to sell (320 units), which results in:
320 - 600 = -280 unitsHowever, since the number of units sold cannot be negative, we must instead calculate the number of units the salesman must sell from the next shipment, which is:
600 - 320 = 520 units.Hence, the salesman must sell 520 units from his next shipment of 600 units.
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Raul is choosing from two plans at his gym. He can either pay a set price
for each visit, or he can buy a membership, which would have a lower
price per visit in addition to a membership fee. Which model could be
used to determine which plan would be less expensive based on the
number of visits he makes?
The linear model that could be used to determine which plan would be less expensive based on the number of visits he makes is given as follows:
Second graph (top right graph, where the two lines intersect).
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the initial amount.For the plan with the set price, we have that:
The slope is greater than for the other plan.The intercept is of zero.Hence it costs less for a lower number of visits.
For the plan with the set price plus the fee, we have that:
The slope is less than for the other plan.The intercept is greater than zero.Hence it costs less for a higher number of visits.
Meaning that the second graph is the correct graph in this problem.
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The graph below shows a system of equations:
Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5, 0. Draw a line labeled y equals x minus 1 by joining the ordered pairs negative 1, negative 2 and 5, 4
The x-coordinate of the solution to the system of equations is
___ (5 points)
The x-coordinate of the solution to the system of equations is 3.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Two lines are labeled on x-y coordinate y = - x + 5 and y = x - 1.
Now, Adding these two equations we have,
2y = 4. (x and - x cancells).
y = 2.
Now, Putting the value of 'y' in any of the equations we have,
2 = - x + 5.
x = 5 - 2.
x = 3.
so, The x-coordinate of the solution is 3.
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Calculate the pressure if there is 506 N of force spread out over the area of 9.1 m
The required pressure for the given information is 55.6 N/m².
How to find pressure using force and area?Pressure is defined as the force exerted per unit area. It can be calculated by dividing the force by the area over which it is spread. In this case, the force is 506 N and the area is 9.1 m², so the pressure can be calculated as follows:
Calculation for data:pressure = force / area
= 506 N / 9.1 m²
= 55.6 N/m².
The unit of pressure is N/m² or Pascal (Pa). Therefore, the pressure in this case is 55.6 Pa. This means that for every square meter of area, there is a force of 55.6 N acting on it. The pressure can be used to determine the force required to cause deformation of an object, the amount of gas in a container, and many other physical phenomena.
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Ian worked 25 hours at the grocery store last week and 36 hours this week. What is the percent change?
Since, Ian worked 25 hours at the grocery store last week and 36 hours this week. Therefore, the percent of change is a decrease of 44% in work efficiency.
Given that:
Last week working hour of Ian is 25 hours.
Current week working hour of Ian is 36 hours.
Now,
First, subtract to find the amount of change:
36 - 25 = 11.
Therefore, The decrease is 25.
Next, divide the amount of change by the original amount:
11 ÷ 25 = 0.44
Now, to change the decimal to a percent, multiply the number by 100:
0.44 x 100 = 44%
The answer is 16.7%.
Therefore, the percent of change, a decrease of 44% in working efficiency.
Complete Question:
Lan worked 25 hours at the grocery store last week and 36 hours this week.
What is the percent change?
O 44% Increase
O 44% Decrease
O 31% Increase
O 31% Decrease
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Help me please i just want to get ALEKS done for school :( PLEASE HELP
The measure of the side of the partial rectangle is 7 cm
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the perimeter of the rectangular figure be represented as P
Now , the equation will be
The length of the rectangle 1 = 12 cm
The width of the rectangle 1 = 6 cm
The length of the rectangle 2 = 15 cm
The width of the rectangle 2 = 5 cm
Now , let the unknown length be represented as A
And , A = length of the rectangle 1 - width of the rectangle 2
Substituting the values in the equation , we get
The unknown length A = 12 cm - 5 cm
On simplifying the equation , we get
The unknown length A = 7 cm
Hence , the unknown length of the rectangle is A = 7 cm
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please answer. much appreciated
Answer:
below
Step-by-step explanation:
The upper and lower horizontal lines are parallel
so y = 71° alternate angles with transverse line
then z = 180 - 71 - 65 = 44° ( interior angles of a triangle sum to 180 °)
Ethan is saving up to buy a new jacket. He already has $45 and can save an additional $6 per week using money from his after school job. How much total money would Ethan have after 5 weeks of saving? Also, write an expression that represents the amount of money Ethan would have saved in
$75 is the total money would Ethan have after 5 weeks of saving.
What is Expression?An expression is combination of variables, numbers and operators.
Given that Ethan is saving up to buy a new jacket.
He already has $45 and can save an additional $6 per week using money from his after school job
45+6x is the expression for total money.
Now let us find the total money for 5 weeks.
45+6(5)
45+30
$75
Hence, $75 is the total money would Ethan have after 5 weeks of saving.
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Find a formula for the tenth term in this arithmetic sequence: a1=28 a2=21 a3=14 a4=7
Answer:
an = - 7n+35
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is constant. To find this difference, we can subtract the first term from the second term and the second term from the third term, etc.
a2 - a1 = 21 - 28 = -7
a3 - a2 = 14 - 21 = -7
Since the difference between consecutive terms is the same, we can conclude that the difference is -7.
The nth term in an arithmetic sequence can be found using the formula: an = a1 + (n-1)d, where d is the common difference.
For this sequence, the nth term can be found as: an = 28 + (n-1)(-7) = 28 - 7(n-1) = 28 - 7n + 7 = 35 - 7n.
So, the formula for the nth term in this arithmetic sequence is an = - 7n+35
Which of the following are solutions to the equation below?
CHECK ALL THAT APPLY.
(image attched
The solutions to the quadratic equation x² - 10x + 25 = 17 are x = -√17 + 5 and x = √17 + 5.
What are the solutions to the quadratic equation?The quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown .
To find x, we use the quadratic formula;
x = (-b±√(b² - 4ac)) / (2a)
Given the quadratic equation in the question.
x² - 10x + 25 = 17
First, we rearrange in standard form
x² - 10x + 8 = 0
a = 1b = -10c = 8Plug these values into the quadratic formula above and solve for x.
x = (-b±√(b² - 4ac)) / (2a)
x = ( -(-10) ±√( (-10)² - 4×1×8)) / (2×1)
x = ( 10 ±√( 100 - 32 )) / 2
x = ( 10 ±2√17 ) / 2
x = 10/2 ± (2√17)/2
x = 5 ± √17
x = ±√17 + 5
x = -√17 + 5 and x = √17 + 5
Therefore, the solutions are x = -√17 + 5 and x = √17 + 5.
Option (B) and (F) are the correct answer.
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PLEASE HELP (will mark as brainlest)
The solution to the monomial in standard form is 0.04b^19.
What is a standard form of a polynomial?The term "polynomials in standard form" can also refer to a polynomial written in the decreasing order of the degree of the variable.
The degree of the polynomial is significant when writing it in its standard form since the terms are written in descending order of the power of x.
Given that:
= (-0.2b^6)^3*5b
Rewrite using the commutative property of multiplication
= 5(-0.2b^6)^3b
Apply the product rule to −0.2b^6
= 5(-0.2^3)(b^6)^3b
= 5(-0.008b^18)b
= 5(-0.008^19)
= 0.04b^19
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A Christian school had 25 students in the senior class. A total of 80% of these students went to college. How many students went to college?
Answer:
20 students went to college.
Step-by-step explanation:
In order to find a percent of a number you must do the number multiplied by the percent divided by 100. For example, the formula is (x*%) divided by 100. 25*80 = 2000. 2000/100 = 20 students. Hope I helped!
Answer:
80% of 25 students
80÷100 × 25 = 20
therefore , 20 students went to college.
Brian pays £466.98 a year on his car insurance.
The insurance company increases the price by 3.2%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
Answer:
£481.02
Step-by-step explanation:
To calculate, you can multiply the original cost by the increase percentage (expressed as a decimal) and add that to the original cost:
£466.98 * 1.032 = £480.9936
£480.9936 + £466.98 = £481.02
Rounding to 2 decimal places, the answer is £481.02.
5
Copy the diagram and write in the size of all the other angles.
Work out the unknown angles a, b and c
(It’s question 5)
On solving the provided question, we can say that angle a = 113
;angle b = 57;
angle c = 57
How do angles work?In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that converge at a center point known as the angle's vertex.
Two rays can create an angle in the plane where they are arranged. Additionally, when two planes collide, an angle is created. Dihedral angles are what they are called. An angle is a possible shape for two rays or lines with a common termination in planar geometry. The English term "angle" derives from the Latin word "angulus," which meaning "horn." The vertex is the common endpoint of the two rays, also known as the sides of the angle.
from the 3rd figure, we have -
angle a = 113 ( vertical opposite angle)
angle b = 180 - a (Corresponding angles)
180 - 113 = 57
b = 57
angle c = 57 ( vertical opposite angle)
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a cpa has decided to use probability-proportional-to-size (pps) sampling, sometimes called dollar-unit sampling, in the audit of a client's accounts receivable balances. the most likely reason this sampling method was chosen is that
The CPA selected the probability-proportional-to-size (PPS) sampling technique because it enables the selection of items in a population in proportion to the items' sizes. This technique yields a more accurate audit by precisely measuring the population of accounts receivable balances.
CPAs frequently employ the probability-proportional-to-size (PPS) sampling technique, also known as dollar-unit sampling, when examining the receivables balances of their clients. With this approach, it is possible to choose population members based on how big they are. The CPA can precisely gauge the population of accounts receivable amounts as a result, which is advantageous. A more accurate audit is made possible by the fact that the larger items in the population are more likely to be chosen than the smaller ones. Additionally, when the sample size grows, the audit's accuracy rises as well, which is another reason CPAs like to employ PPS sampling in their audits. This approach is advantageous because it ensures that the CPA is assessing the population of accounts receivable balances precisely and that the audit is carried out in a precise and trustworthy manner.
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PLEASE HELP!! (Click on Image for proper answer)
Copy the diagram and write in the size of all the other angles.
Work out the unknown angles a, b and c.
113°
(Questions 5 and 6)
Pedro tiene 42 años y 3 hijos. Las edades de sus hijos son divisores de su edad. Sabemos que la edad del mayor es un numero compuesto impar. La del segundo es un numero compuesto par que no es multiplo de 3 y la edad del tercero es un numero primo impar que es divisor del segundo. ¿Que edad tiene cada hijo?
Answer:
No se puede determinar la edad de cada hijo con la información proporcionada.
Step-by-step explanation:
justify your reasons by determining the postulates, definitions, theorems, and properties used
By alternating internal angles, angles 1 and 2 are equivalent.
What does the triangle's angle sum property entail?
According to the triangle's "angle sum property," the inner angles of a triangle add up to 180 degrees.
1. Angles 1 and 2 complement one another. Angles 2 and 3 compliment one another.
These angles are linear, hence their sum is 180 degrees.
2.m angle
Angle 1 + m2 Equals 90° Angle m2 + m3 = 90°
Equals makes a straight angle
3. m angle1 plus m angle2 equals m angle2 plus m angle3
= 180 degrees when the total of the two sides
4. m angle2 equals m angle
= The total of the two sides is equal
5. m angle1 = m angle3
= The total of the two sides is equal
6.Angle1 and Angle3 are congruent.
Alternate interior angles are what they are.
Angle 1 and Angle 3 are therefore equivalent based on the triangle's characteristics.
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Evaluate 2 + y + 1, when y = 12
Answer:
Step-by-step explanation:
Simply substitute for y in the equation if y = 12.
2 + y + 1 -> 2 + (12) + 1 = 15
Evaluate 1/5r + 9/20 when r = 1/4
1/5 ( blank) + 9/20 = blank + 9/20= Answer?
The value of the expression (1/5)r + 9/20 when r = 1/4 is 1/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(1/5)r + 9/20
For r = 1/4,
(1/5) x 1/4 + 9/20
= 1/20 + 9/20
= 10/20
= 1/2
Thus,
The value of the expression is 1/2.
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ASAP I NEED THIS ASAP
b. Measure the length of the side DF.
c. Measure the height of the triangle, XF.
d. Describe in words the locus of the point that is 2cm from E and draw this onto your diagram.
e. Use compasses to bisect the angle D. You must leave your construction arcs in.
Based on the information in the graph, the length of DF is 3.87 cm, the length of XF is 4.89 cm. The point 2cm from E is 5cm from X and the angle of D is 60°.
How to find the side length DF?To find the length of the side DF we must apply the Pythagorean theorem substituting the values that we know as shown below:
a² + b² = c²7² + b² = 8²49 + b² = 64b² = 15b = 3.87How to calculate side XF?To find the length of the side DF we must apply the Pythagorean theorem substituting the values that we know as shown below:
a² + b² = c²3² + 3.87² = c²9 + 14.97 = c²23.97 = c²4.89 = cThe point 2cm from E would lie on the line EX at 2cm from E and 5cm from X.
What is the angle of D?To calculate the angle of D we can use a compass, in this case, we know that the angle of X is 90°, so the other 90° that make up the triangle are distributed between point F and D. However, we know that F has a angle less than D so we can infer that F has an angle of 30° and D has an angle of 60° which we can check with a compass.
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a hand woven rectange rug measures x feet long and 2 4/5 feet wide. write an expression to represent the perimeter of the rug
Answer:
see below
Step-by-step explanation:
(x+ 2 4/5) * 2 = perimeter
so perimeter = 2x + 5.6
AP calculus...
Need answers...
The differentiation of the function would yield -e^-x.
How do you differentiate a function?Differentiation is the process of finding the derivative of a function. It measures the rate of change of a function at a given point. The derivative of a function can be found using the power rule, product rule, quotient rule, and chain rule. The derivative of a function can also be represented using the notation f'(x), where f'(x) represents the derivative of the function f(x) with respect to x.
For the exponential function that we have, the standard form of the derivative is that; dy/dx of e^nx = ne^nx.
Thus we have that the result is -e^-x
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f 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? 5 if 6 bottles are randomly selected, what is the probability that all of them are the same variety?
The probability of selecting all bottles of the same variety is P(A) = 6/46656 = 0.00013.
The probability of selecting two bottles of each variety when randomly selecting 6 bottles can be calculated using the formula P(A) = n(A) / n(S), where n(A) is the number of possible ways to select two bottles of each variety and n(S) is the total number of possible ways to select 6 bottles. In this case, n(A) is equal to 6! / (2!2!2!) = 90 and n(S) is equal to 6^6 = 46656. So, the probability of selecting two bottles of each variety is P(A) = 90/46656 = 0.0019.
The probability of selecting all bottles of the same variety when randomly selecting 6 bottles can be calculated using the same formula. In this case, n(A) is equal to 6, which is the number of ways to select 6 bottles of the same variety, and n(S) is equal to 46656. So, the probability of selecting all bottles of the same variety is P(A) = 6/46656 = 0.00013.
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