To determine the equation that best describe the data in the table, let us substitute the value of x given on the table into each equation and check for the equation that gives us the corresponding values of y;
for x = -2, y=-4; substituting x= -2 into each equation, we have;
[tex]\begin{gathered} a)y=x-2=-2-2=-4 \\ b)y=3x-4=3(-2)-4=-16 \\ c)y=x^2-8=-2^2-8=4-8=-4 \\ d)y=2x^2-3=2(-2)^2-3=5 \end{gathered}[/tex]From the first substitution, only equation a and c gave us the corresponding value of y.
Secondly, let's substitute another value of x into the two right right equaabove to confirm the best;
At x=1, y= -7; substituting x=1 into equation a and c we have;
[tex]\begin{gathered} a)y=x-2=1-2=-1 \\ c)y=x^2-8=1^2-8=-7 \end{gathered}[/tex]From the above only equation c gave us the corresponding value of y at x=1.
Since only equation c gave us the corresponding values of y for both substituttions. The equation that best describe the data on the table is equation cequatio
[tex]c\text{. }y=x^2-8[/tex]assuming that the population size is 1,000 people, the prevalence of smoking in epiland is 60% and the percentage of people drinking water with a high concentration of heavy metals is 30%, calculate the total number of cases of cancer x that could be prevented if each one of the exposures were eliminated. what would be your suggestion to the public health agencies if they asked you which one of the exposures would have a greater impact on reducing the prevalence of the disease if it was eliminated?
1. The total number of cases of cancer x that could be prevented if each one of the exposures were eliminated is 900.
2. The suggestion to the public health agencies if they requested the one exposure that would have a greater impact on reducing the prevalence of cancer x if eliminated is smoking.
What is the prevalence rate?The prevalence rate refers to the proportion of the population who have a particular disease or attribute or can be exposed to risks at a specified time or over a specified period.
The assumed population size in Epiland = 1,000
Prevalence of smoking in Epiland = 60%
The number of Epiland smokers = 600 persons (1,000 x 60%)
Percentage of people drinking water with a high concentration of heavy metals = 30%
The number of people drinking the water = 300 (1,000 x 30%)
The total number of people exposed to cancer x = 900 (600 + 300).
Thus, 90% of the population in Epiland is exposed to cancer x based on the prevalence rate of smoking and the high concentration of heavy metals in their drinking water.
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Jasmine, multiply your age by 3 and add 6. Thenmultiply this sum by 2. James, multiply your age by 2and add 4. Then multiply this sum by 3. I predict youwill both get the same number!») B. Choose 4 whole numbers for the twins' age and test eachexpression. Make a table to show the numbers you tried and theresults.
Same age
See explanation below
Explanation:Let the age of Jasmine = y
Multiplying Jasmine age by 3 and adding 6:
= (y × 3) + 6
= 3y + 6
Multiplyng the sum by 2:
2 × the sum = 2 × (3y + 6)
= 6y + 12
Let James age = z
Multiplying the age by 2 and adding 4:
James age × 2 = z × 2 = 2z
adding 4 = 2z + 4
Multiplying the sum y 3:
3 × the sum = 3 × (2z + 4)
= 6z + 12
Now since they are twins, they ae most likely same age
This means:
6y + 12 = 6z + 12
subtracting 12 from both sides:
6y = 6z
dividing both sides by 6:
y = z
Hence, Jasmine age is the same as James age
B) The expression for Jasmine = 2(3y + 6) = 6y + 12
The expression for James = 3(2z + 4) = 6z + 12
let the twin's age = 2, 3, 4, 5
when twin's age = 2
6y + 12 = 6(2) + 12 = 12 + 12 = 24
6z + 12 = 6(2) + 12 = 12 + 12 = 24
when twin's age = 3
6y + 12 = 6(3) + 12 = 18 + 12 = 30
6z + 12 = 6(3) + 12 = 18 + 12 = 30
when twin's age = 4
6y + 12 = 6(4) + 12 = 24 + 12 = 36
6z + 12 = 6(4) + 12 = 24 + 12 = 36
when twin's age = 5
6y + 12 = 6(5) + 12 = 30 + 12 = 42
6z + 12 = 6(5) + 12 = 30 + 12 = 42
Plotting the table:
Karl drove 40 miles in 50 minutes. Teresa drove 35 miles in 42 minutes. Who had a higher average speed?
The person that has the higher average speed is Teresa.
How to calculate average speed?The average speed is the total distance travelled by the object in a particular time interval.
Average speed measures the average rate of speed over the extent of a trip.
Therefore,
average speed = distance / time
Hence, Karl drove 40 miles in 50 minutes.
Therefore,
average speed of Karl = 40 / 50
average speed of Karl = 4 / 5 miles per minute
Teresa drove 35 miles in 42 minutes.
Therefore,
average speed of Teresa = 35 / 42
average speed of Teresa = 5 / 6 miles per minutes
Therefore, Teresa had the higher average speed.
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according to multiple studies, including those by the american association of university women and the pew research center, on average, women are paid approximately which percent of what men are paid? select one: a. 80 b. 100 c. 90 d. 70
Women are paid approximately 80 percent of what men are paid.
Multiple studies have been carried out to discuss the income inequality prevailing in United States. Pay inequity has been found as a corollary of the income inequality.
The women and men has different pay levels for the same work at certain work places. Income inequality is considered as an injustice and to put forward this issue may organizations are trying.
Hence according to multiple studies, including those by the American association of university women and the pew research center, on average, women are paid approximately 80 percent of what men are paid.
We can see the appreciable difference in the pay levels of women and men prevailing.
As a result several laws has been passed recently to have a solution for this injustice.
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What is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
Answer:
x = 4
Step-by-step explanation:
a line with an undefined slope is a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (4, 6 ) with x- coordinate 4 , then
x = 4 ← equation of line
solve (2x-3)²= 4x using the quadratic formula
Answer:
[tex]x = 2 \pm \frac12\sqrt7[/tex]
Step-by-step explanation:
Hello!
Expand the left-hand side of the equation:
(2x - 3)²(2x-3)(2x-3)(2x-3)(2x) +(2x-3)(-3)4x² - 6x - 6x + 94x² - 12x + 9Create the Equation:
4x² - 12x + 9 = 4x4x² - 16x + 9 = 0Solve using the quadratic formula:[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-16) \pm \sqrt{(-16)^2 - 4(4)(9)}}{2(4)}[/tex][tex]x = \frac{16 \pm \sqrt{256 - 144}}{8}[/tex][tex]x = \frac{16 \pm \sqrt{112}}{8}[/tex][tex]x = \frac{16 \pm 4\sqrt7}{8}[/tex][tex]x = 2 \pm \frac12\sqrt7[/tex]The roots of the equation are [tex]x = 2 \pm \frac12\sqrt7[/tex]
Did I get this right I need to know asp
Triangle xyz, z=61 degree, its nearest length If leg an is the missing side and xz=17.3 cm and xy=15.2 cm,
then change the equation to its original form when an is on one side and calculate the square root: a = √(c² - b²)
Leg b is undetermined if. For a missing hypotenuse c, the formula is b = (c2 - a2). c = √(a² + b²)
How do you calculate a triangle's third side?
Different Methods to Determine a Triangle's Third Side?
Use the Pythagorean Theorem while forming a right triangle. Use the isosceles triangle area formula to determine the area of a triangle. Use the law of cosines or the law of sines if you are familiar with some of the angles and other side lengths.
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The mean height of married american women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. the mean height of married men the same age is 68.5 inches, with standard deviation 2.7 inches. the correlation between the heights of husbands and wives is about r = 0.5. find the height of the husband without using least mean
Y'=33.67+0.54*X' .
For married couples in their early 20s, the regression equation and the prediction of a husband's height. In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.
What is the purpose of a regression equation?In statistics, a regression equation is used to determine whether or not there is a link between two sets of data. For instance, you might discover that a child grows roughly 3 inches a year if you measure their height each year. A regression equation can be used to model the three-inch growth tendency.
Detailed explanation:
r=0.5 \s x'=64.5 \s Sx=2.5 \s y'=68.5 \s Sy=2.7The slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x', according to the general regression line equation: Y'=a+b*X'The mean of the lowered by the slope and mean of x is the intercept with axis y.The following is the equation regression line:Y'=33.67+0.54*X'.To learn more about Regression equation refer to:
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Find the area. Pls help with 12-13
12. A = [tex]3x^3-21x[/tex]
A = lw
A = 3x * (-7x * x^2)
(distribute the 3x
A = -21x * x^3
A = [tex]3x^3-21x[/tex]
13. A = [tex]4x^3 -4x[/tex]
A = lw
A = 4x * (x^2 * -7x + 6)
(distribute the 4x)
A = 4x^3 * -28x +24x
A = [tex]4x^3 -4x[/tex]
Only 20 percent of the spectators left the contest discontented. If 6000 spectators left the contest contented,
how many left discontented?
There are 24000 spectators left the contest discontented.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Only 20 percent of the spectators left the contest discontented.
If 6000 spectators left the contest contented, then the contest left discontented are;
The spectators left the contest contented = 6000
20/ 100 x D = 6000
D = 6000 x 100/20
D = 30000
Now the contest left discontented are;
80 percent = 80/100 x 30000
= 24000
Hence, 24000 spectators left the contest discontented.
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Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
Answer:
tbh times them all by 15 and u should get the answers
Find the m
bisector.
Answer: [tex]50^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle FDE=25^{\circ}+25^{\circ}=50^{\circ}[/tex]
Find the unit rate of gallon to mile:
1/4 of a gallon to 3/10 mile
The unit rate of gallon to mile is calculated as: 5/6 gallon per mile.
How to Find the Unit Rate Between Two Variables?The unit rate between two variables is simply the ratio of the quantity of one variable to the quantity of the other variable, such that the the denominator of the will be equal to exactly 1.
We are given the variables gallons and miles, where 1/4 of a gallon is to 3/10 mile.
The unit rate between these two variables would be an amount of gallons per mile.
Thus, find the unit rate by dividing 1/4 by 3/10:
1/4 ÷ 3/10
= 1/4 × 10/3
= 10/12
= 5/6
The unit rate is therefore, 5/6 gallon per mile.
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Which of the following service providers may use credit reports and/or credit scores to decide whether a person can buy a service and/or what price he or she will pay?Group of answer choicesLandlordMortgage lenderCell phone companyAll of the aboveCredit card issuer
Answer:
All of the above
Explanation:
All the given options make use of credit scores and/or credit reports to decide whether a person can buy a service and/or to decide what price he or she will pay. landlords may use credit scores to decide if they will require a security deposit and, if so, how much it should be. Also, other service providers like Mortgage lender, Cell phone company and Credit card issuer makes use of credit scores and/or credit reports in making certain decisions.
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she ascended 61.9 feet. How many feet had she been below sea level, if she was 21.6 feet below sea level after she ascended?
The scientist was 83.5 feet below sea level while studying ocean life.
Given that:-
Distance the scientist ascended after studying the ocean life = 61.9 feet
Distance below sea level the scientist is after ascending = 21.6 feet
We have to find the distance by which the scientist was below sea level while studying the ocean life.
We know that,
Distance by which the scientist was below sea level while studying the ocean life = Distance the scientist ascended after studying the ocean life + Distance below sea level the scientist is after ascending
Hence, we can write,
Distance by which the scientist was below sea level while studying the ocean life = 61.9 + 21.6 = 83.5 feet.
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What number should be the exponent on the 10 so that the two numbers are equivalent? 75.6 - 10% = 0.00756 y = -3 C y = 3 c y y = 4 y = 4 =
Answer:
y = -4
Explanation:
Given the equation:
[tex]75.6\times10^y=0.00756[/tex][tex]\begin{gathered} 0.00756=7.56\times10^{-3} \\ =75.6\times10^{-4} \end{gathered}[/tex]Thus, the number is -4.
please help solve the attatched question pleasee
Using complementary angles, the numerical value of the given expression is as follows:
2.
What are complementary angles?Complementary angles are angles whose sum of the measures is of 90º.
The relevance of complementary angles in the context of this problem is that if a and b are complementary angles, then the sine of one angle is the cosine of the other angle, as follows:
sin(a) = cos(b).
Considering the angles of 40º and 50º in this problem, we have that:
sin(40º) = cos(50º).sin(50º) = cos(40º).Hence these following simplifications are applied:
sin²(40º) + sin²(50º) = sin²(40º) + cos²(40º) = 1.cos²(40º) + cos²(50º) = sin²(50º) + cos²(50º) = 1.sin(40º)cos(50º) = sin(40º)sin(40º) = sin²(40º).cos(40º)sin(50º) = cos(40º)cos(40º) = cos²(40º).Then the numerical value of the expression is given as follows:
1/1 + sin²(40º) + cos²(40º) = 1 + 1 = 2.
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Which of the following is NOT an expression?
A
3x + 1
B
4x^2
2
- 6
C
5b
D
6y + 1z = 7x - 3w
Answer:
they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B
4x ^ 2
2
- 6 it is not known because it is poorly written.
Step-by-step explanation:
Which of the following is NOT an expression?
A 3x + 1 (expression)
B 4x^2 2- 6 (unknow)
C) 5b (expeession)
D) 6y + 1z = 7x - 3w (Equation)
Can someone please help me
May's total profit given the revenue, fixed cost and variable cost is $250.
What is the total profit?
Profit is when the difference between revenue and total cost is positive. A loss is earned when the difference between revenue and total cost is negative.
Total cost is the sum of fixed cost and variable cost. Fixed cost is the cost that remains constant regardless of the level of output. Variable cost changes based on the level of output.
Total cost = variable cost + fixed cost
$9,000 + $300 = $9,300
Profit = revenue - total cost
$9,950 - $9,300 = $250
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A person has lost a card game and is counting the points left in his hand. He announces that he has five fours and five sevens. Write this statement as a number expression.
The statement as number expression is given by the total number of points are 55.
What is Mathematical expression?
An expression is a finite combination of symbol and numbers depending on the context
We are given that A person has lost a card game and he is counting the points left in his hand.
His cards were five fours and five sevens
And we have to write this statement as number expression
Now there are five fours that is [tex]5*4=20 points[/tex]
And five sevens that is [tex]5*7=35 points[/tex]
Hence the total number of points are 20+35=55 points.
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an engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 140 lbs. and 190lb. the new population of pilots has normally distributed weights with a mean of 158 lbs. and a standard deviation of 27.2 lb. find the probability that a pilot weight is between 140 lbs. and 190 lbs. the probability that the pilot weighs between 140 and 190 pounds is
The probability that the pilot weighs between 140 and 190 pounds is 0.6262.
When provided,
µ = 158
σ = 27.2
We must determine P(140 x 190).
P(140< x < 190) = P(x< 190) - P(x<140)
Locate P(x 190).
Z = (x - µ)/σ
Z = (190 - 158)/27.2
Z = 1.176471
P(Z<1.176471) = P(x<190) = 0.880297
[This probability can be determined using a z-table, Excel, Ti-83/84 calculator, software, etc. Z-table is less accurate than other methods in terms of value.]
Find P(x>140) now.
Z = (x - µ)/σ
Z = (140 - 158)/27.2
Z = -0.66176
P(Z<-0.66176) = P(x<140 ) = 0.254061
P(140< x < 190) = P(x< 190) - P(x<140)
P(140< x < 190) = 0.880297 - 0.254061
P(140< x < 190) = 0.626236
The necessary probability is 0.6262.
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Answer:
Step-by-step explanation:
0.626 is the probability that the pilot weighs between 140 and 190 pounds.
Mean (µ ) = 158
S.D(σ ) = 27.2
P(140 x 190)=?
P(140< x < 190) = P(x< 190) - P(x<140)
Find P(x 190).
Probability determined using Z-table.
Z = (x - µ)/σ
= (190 - 158)/27.2=1.176471
P(Z<1.176471) = P(x<190) = 0.88
Find P(x>140)
Z = (140 - 158)/27.2= -0.66176
P(Z<-0.66176) = P(x<140 ) = 0.254
P(140< x < 190) = 0.88 - 0.254
= 0.626
Therefore probability is 0.626.
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What’s the answer plsss
Answer:
8.5 cm
Step-by-step explanation:
See attached worksheet.
Opposite 63 is ML (we are not after that)
Adjacent is MN
Hypotenuse is 18.8
Choose adjacent + Hypotenuse to find MN
AH - CAH, cos
Cos63 = A/18.8
x18. 8
18.8 x Cos63 = A
8.535.... = A
So, MN = 8.5cm
Ans: C
Hope this helps!
A car, initially traveling east with a speed of 15 meters per second , is accelerated uniformly at 4 meters per second 2 east for 10 seconds along a straight line. what is the total distance the car travels during this 10 second interval?
Answer:
350m
Step-by-step explanation:
Vi = 15 m/s
A = 4 m/s^2
delta t = 10s
delta x = ?
delta x = (Vi)(delta t) + 1/2(A)(delta t)^2
delta x = (15m/s)(10s) + 1/2(4m/s^2)(10s)^2
delta x = 350 m
pls help me super confused on inequality
Find the area of the trapezoid shown above. [?] square inches The measurements are 36in the base. 20in the height. 30 in the top.
The dimensions given are as follows;
Base a = 36
Base b = 30
Height = 20
The area is derived as follows;
[tex]\begin{gathered} A=(\frac{a+b}{2})\times h \\ A=(\frac{36+30}{2})\times20 \\ A=(\frac{66}{2})\times20 \\ A=33\times20 \\ A=660in^2 \end{gathered}[/tex]The area therefore is 660 square inches
Kamal invest $6130 at a rate of r% per year compound interest the value of his investment at the end of 5 years is $6669
The rate which the investment is compounded annually is 1.7%
Compound InterestCompound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
The formula to calculate compound interest is given as
[tex]A = p(1 + \frac{r}{n})^n^t[/tex]
A = final amountp = principalr = rate n = number of times compoundedt = timesubstituting the values into the equation and solve for rate at which the investment is compounded
[tex]A = p(1 + \frac{r}{n})^n^t\\6669 = 6130(1+ \frac{r}{1})^1^*^5\\ r = 1.7[/tex]
The rate of the investment is 1.7%
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A wedding planner placed two orders with a flower shop. The first order was for 13 bunches of roses and 4 palms, totaling $487. The second was for 6 bunches of roses and 2 palms, totaling $232. The receipts do not list the item per price. What is the cost of one bunch of roses and one palm?
Let's call X the cost of one bunch of roses and Y the cost of one palm.
Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:
13X + 4Y = 487
Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:
6X + 2Y = 232
Then, solving for Y on the first equation, we get:
[tex]\begin{gathered} 13X+4Y=487 \\ 4Y=487-13X \\ Y=\frac{487-13X}{4} \\ Y=\frac{487}{4}-\frac{13}{4}X \\ Y=121.75-3.25X \end{gathered}[/tex]Replacing on the second and solving for X, we get:
[tex]\begin{gathered} 6X+2Y=232 \\ 6X+2(121.75-3.25X)=232 \\ 6X+2\cdot121.75-2\cdot3.25X=232 \\ 6X+243.5-6.5X=232 \\ -0.5X+243.5=232 \\ -0.5X=232-243.5 \\ -0.5X=-11.5 \\ X=\frac{-11.5}{-0.5} \\ X=23 \end{gathered}[/tex]Then, we can replace the value of X and calculated the value of Y as:
[tex]\begin{gathered} Y=121.75-3.25X \\ Y=121.75-3.25\cdot23 \\ Y=121.75-74.75 \\ Y=47 \end{gathered}[/tex]Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47
brainly 100!!! Which of the following functions is graphed below?
The function that is represented on the graph is (a) y = x^2 + 4, x < 2 and y = x + 4, x ≥ 2
How to determine the graphed function?The graph represents the given parameter
From the graph, we have the following function types
Whole graph: Piecewise functionQuadratic function to the leftLinear function to the rightUsing the options as a guide, we have the equations to be
Quadratic function: y = x^2 + 4Linear function: y = x + 4Next, we calculate the domain
The quadratic function stops at x = 2 with an open circle
So, the domain is x < 2
The linear function starts at x = 2 with a closed circle
So, the domain is x ≥ 2
Hence, the graphed function is (a)
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A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer,What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?(Type an integer or a simplified fraction)Help Me Solve ThisView an ExampleGet More HelpClear All
Answer:
1/2
Explanation:
If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:
[tex]\frac{4}{8}=\frac{1}{2}[/tex]Therefore, the answer is 1/2
The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.
What is the probability?The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
Given a shipment of 8 computers contain 4 with defects.
That means 8 -4 = 4 computers have no defect.
To find the probability;
we have 8 possible computers and 4 computers have no defect.
The probability;
= 4 /8
= 1/2
= 0.5
Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.
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A z-score of z = −2.00 indicates a position in a distribution __________.
A- above the mean by a distance equal to 2 standard deviations
B- below the mean by 2 points
C- below the mean by a distance equal to 2 standard deviations
D- above the mean by 2 points
Answer:
C- below the mean by a distance equal to 2 standard deviations
Step-by-step explanation:
The Z-score, or standard score, is the number of standard deviations a given data point lies above or below the mean.The z-score is positive if the value lies above the mean, and negative if it lies below the mean.So, a z-score of z = −2.00 indicates a position in a distribution below the mean by a distance equal to 2 standard deviations.