Answer:
-(w-2)=w+2, 8m+4=2(4m-2) Is NOT correct
Step-by-step explanation:
because..... when we multiply -(w-2) we get -w+2. Peter forgot to multiply the negative sign. 8m+4=2(4m-2) is not correct because 2 x 4m is 8m but 2 x 2 is 4 NOT 2 x -2. 2 x -2 is -4.
I hope I helped! ✨
Solve for x.
1/3 (3/2x-3)=-5/6x
Answer: Hello
Step-by-step explanation: The answer is
1/3 (3/2 x -3) = -5/6x
Answer: x=3/4
Hope This Helps!
Answer:
x=3/4
Step-by-step explanation:
1/3 times 3/2 x is 1/2x
1/3 times -3 is -1
1/2x-1=-5/6x
1/2 is equal to 3/6
-1=-5/6x-3/6x
-1=-8/6x
x=6/8
x=3/4
Probability mathematic
Answer:
1/9
Step-by-step explanation:
Probability = Expected outcome/Total outcome
From the given pi chart,
Total outcome = 360degrees (since the total angle in a circle is 360 degrees)
Since we to find the probability of scoring a 5, we can see that the angle when he scores a 5 is 40degrees, hence;
Expected outcome = 40degrees
Pr(scoring a 5) = 40/360
Pr(scoring a 5) = 1/9
Hence the probability of scoring a 5 is 1/9
Answer:
1/9
Step-by-step explanation:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Divide the number of events by the number of possible outcomes.
In the context of chi square, which pattern of cell frequencies in a 2x2 table would indicate that the variables are independent? a. Only the cells in the top row of the table have cases in them b. There are no cases in any celf c. There are a different number of cases in each of the tour cells d. All cell trequencics are exactly the same
Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.
In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.
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A beehive contains 5 gallons of honey. A beekeeper removes 4 gallons, 1 pint, and 2 ounces. How much honey remains in the beehive?
Answer: 3 quarts and 14 ounces
Step-by-step explanation:
1 gallon = 4 quarts = 128 ounces,
1 quart = 2 pints,
1 pint = 16 ounces.
Therefore:
5 gallons - ( 4 gallons 1 pint 2 ounces ) =
= 5 * 128 - ( 4 * 128 + 1 * 16 + 2 ) = 640 ounces - 530 ounces = 110 ounces
110 ounces = 3 * 32 + 14
a player loses 40 points then wins 25 points
Find the direction of the
resultant vector.
(10,4)
Ө 0 = [ ? ]°
W
(−14, -16)
Round to the nearest hundredth
The direction of the resultant vector (10, 4) Ө 0 + (−14, -16) is approximately 108.43° W.
To find the direction of the resultant vector, we can use trigonometry. The direction is given by the angle that the resultant vector makes with the positive x-axis.
Given the vectors (10, 4) and (−14, -16), we can calculate the direction of the resultant vector.
First, let's find the x-component and y-component of the resultant vector by adding the corresponding components of the given vectors:
x-component: 10 + (-14) = -4
y-component: 4 + (-16) = -12
Next, we can calculate the magnitude of the resultant vector using the Pythagorean theorem:
Magnitude of the resultant vector = √((-4)^2 + (-12)^2)
= √(16 + 144)
= √160
= 12.65 (rounded to the nearest hundredth)
To find the direction, we can use the arctan function:
θ = tan^(-1)(y-component / x-component)
= tan^(-1)(-12 / -4)
= tan^(-1)(3)
≈ 71.57° (rounded to the nearest hundredth)
However, we need to determine the direction with respect to the west (W) direction.
To do that, we subtract the angle from 180°:
θ_W = 180° - 71.57°
≈ 108.43° (rounded to the nearest hundredth)
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Given the graph below, locate the points of the reflection over the x-axis.
Answer:
Answer:
A: (1,3)
A': (1,-3)
---
B: (5,1)
B': (5,-1)
---
C: (-2,2)
C': (-2,-2)
---
D: (-5,4)
D': (-5,-4)
The reflection of the given points over the x-axis is:
(-5, -4), (-2, -2), (1, -3), (5, -1)
What is Coordinate Geometry?By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given data:
We are given a graph, and we have to find the reflection of the points in the graph over the y-axis.
From the graph given, the points are as as follows:
Let's assume the points as A, B, C and D
A = (-5, 4)
B = (-2, 2)
C = (1, 3)
D = (5, 1)
The reflection over the x-axis are as follows:
A' = (-5, -4)
B' = (-2, -2)
C' = (1, -3)
D' = (5, -1)
Hence, the reflection of the given points over the x-axis is:
(-5, -4), (-2, -2), (1, -3), (5, -1)
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Sienna Rose received $3500 cash in graduation presents. She invests it in an account earning 3.35% interest compounded monthly. How long will it take for her money to grow to $5500 ?
Answer:
It will take about 13.5 years for the money to grow to $5,500
That would be about 13 years and 6 months
Step-by-step explanation:
The formula for accrued amount(principal + interest) is given by:
\(A = P\left(1 + \dfrac{r}{n}\right)^{nt}\quad(1)\\\)
where
P = Principal amount
r = R/100 where R is the annual interest rate as a percentage
n= number of times compounded per year
t = number of years
Given
A = $5,600
P = $3,500
R = 3.35% ==> r = 3.35/100 = 0.0335
n = 12 (since there are 12 months in a year)
We have to find out t
Plugging known values into equation (1)
\(5500 = 3500\left(1+ \dfrac{0.0335}{12}\right)^{12t}\\\\5500 = 3500 \left(1+ 0.002791\right)^{12t}\\\\5500 = 3500 (1.002791)^{12t}\)
Switch sides so unknown appears on the left side:
\(3500 (1.002791)^{12t} = 5500\)
Divide by 3500 both sides:
\((1.002791)^{12t} = \dfrac{5500 }{3500}\\\\(1.002791)^{12t} = 1.5714\\\\\)
Take logs on both sides:
\(\ln \left(1.002791^{12t}\right)=\ln \left(1.5714\right)\\\\\)
We have
\(\ln \left(1.002791^{12t}\right) = 12t\ln \left(1.002791\right)\\\\\)
Therefore we get
\(12t\ln \left(1.002791\right)=\ln \left(1.5714\right)\\\\t\ln \left(1.002791\right)=\ln \left(1.5714\right)\\\\\\\)
Dividing both sides by \(12\ln \left(1.002791\right)\) this works out to
\(t=\dfrac{\ln \left(1.5714\right)}{12\ln \left(1.002791\right)}\)
\(t = 13.51359\; years\)
Rounding to one decimal place
\(t = 13.51\; years\\\)
This would be roughly 13 years and 6 months
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
y = ex, y = x2 − 1, x = −1, x = 1
Find the area of the region.
The area of the region is rectangles
The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,
The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.
Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we
A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.
Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.
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Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
Answer:
around $9.0
Step-by-step explanation:
10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9
An equation is modeled. What value of x makes the equation true?
An equation is modeled. The value of x makes the equation true is -1.
Equation:
Conditional comparisons apply only to specific values of variables. An equation consists of two expressions joined by an equal sign ("="). Expressions for both sides of the equals sign are called the "left side" and the "right side" of the equation. Usually the right side of the equation is assumed to be zero. If this is accepted, it does not reduce the generality, since it can be done by subtracting the right side from the two sides.
According to the Question:
5x + 6 = 1
5x = -5
x = -1
Complete Question:
An equation is modeled. What value of x makes the equation true?
(1) 1
(2) 7
(3) -5
(4) -1
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Is (a-3)(2a^2 + 3a + 3) equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
==============================================
Work Shown:
Expand out the first expression to get
(a-3)(2a^2 + 3a + 3)
a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)
2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9
2a^3 + (3a^2-6a^2) + (3a-9a) - 9
2a^3 - 3a^2 - 6a - 9
Divide every term by 2 so we can pull out a 2 through the distributive property
2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)
This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
Answer:
yes
Step-by-step explanation:
(a-3)(2a^2 + 3a + 3) = a(2a^2 + 3a + 3) -3(2a^2 + 3a + 3)
= 2a^3 +3a^2 +3a -6a^2 -9a -9
= 2a^3 +a^2(3 -6) +a(3 -9) -9
= 2a^3 -3a^2 -6a -9
= 2(a^3 -1.5a^2 -3a -4.5) . . . . the form you're asking about
how to find the equation of a line that is parallel and passes through a point
Answer:
Step-by-step explanation:
Parallel line have the same slope. Put the reference line is y=mx+b format. m will be the slope. A parallel line must have the same m. Example:
y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0). Any line witrh the same slope will be parallel. So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap. Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:
y=2x+b
14=2*3+b
14=6+b
b=8
The parallel line to y=2x+5 is y=2x+8: It is parallel and goes through the point (3,14).
Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75. Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
x = number of appointments
y = total amount earned in dollars
The total earnings equation is y = 2x+40
The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.
She wants to earn at least $75. This means she wants to earn $75 or more.
This means,
\(y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5\)
Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.
If x = 17, then
y = 2x+40 = 2*17+40 = 34+40 = 74
which is not 75 or larger
But if x = 18, then
y = 2x+40 = 2*18+40 = 36+40 = 76
which is larger than 75, so we've cleared the hurdle.
We can say the solution set is \(x \ge 18\) where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.
In summary, she must schedule at least 18 appointments to earn $75 or more.
Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols
Mai drew the design shown below. Each
rectangle in the design has the same
area. Each rectangle is what fraction of
the area of the complete design?
Each rectangle is 1/3 of the area of the complete design.
What fraction of the area of the complete design?A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.
Looking at the design, you will be notice that the main (bigger) rectangle is divided to three smaller rectangles. Thus, each rectangle is one out of three rectangles i.e. 1/3.
Therefore, each rectangle is 1/3 of the area of the complete design.
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Complete Question
Check attached image
HOW FO I SOLVE THIS? ASAP!
Applying the centroid theorem, the measures in the triangle are:
x ≈ 4.1; AC = 9.1; AE = 13.5; CE = 4.4
How to Apply the Centroid Theorem?Since point C is the centroid of triangle ADF, the centroid theorem states that:
Length of AC = 2/3(length of AE)
Given the following:
AC = x + 5
AE = 5x - 7
Plug in the values:
x + 5 = 2/3(5x - 7)
Multiply both sides by 3
3(x + 5) = 3 * 2/3(5x - 7)
3x + 15 = 2(5x - 7)
3x + 15 = 10x - 14
Combine like terms:
3x - 10x = -15 - 14
-7x = -29
x ≈ 4.1
AC = x + 5 = 4.1 + 5 = 9.1
AE = 5x - 7 = 5(4.1) - 7 = 13.5
CE = AE - AC = 13.5 - 9.1 = 4.4
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please help we use y=mx+b
Answer:
Y=3x+10
Step-by-step explanation:
Take two point on the line (0,10) and (10,40)
so the slope of the line(m) = y₂-y₁/x₂-x₁
= 40-10/10-0 =30/10 = 3
hence, equation of megan's plan is
Y-y₁= m(X-x₁)
Y-10=3(X-0)
Y=3X+10
Which question can be answered by solving the inequality 7x < 50?
Answer:
The inequality 7x < 50 can be used to answer questions that involve finding the maximum value of x that satisfies the inequality. Specifically, we can solve this inequality to find the largest value of x such that 7x is less than 50.
For example, if x represents the number of hours you can work in a week and you are paid $7 per hour, then 7x represents your weekly earnings. If you want to earn less than $50 per week, the inequality 7x < 50 would be relevant. Solving this inequality would tell you the maximum number of hours you can work per week to earn less than $50.
Another example could be finding the maximum number of items you can purchase if each item costs $7 or less and you have $50 to spend. In this case, x would represent the number of items you can purchase, and 7x represents the total cost of the items. Solving the inequality 7x < 50 would give you the maximum number of items you can purchase while spending less than $50.
So, the question that can be answered by solving the inequality 7x < 50 depends on the context in which it is being used.
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NEED HELP ASAP Which is an equivalent expression for (52 • 34)3?
15 18
56 • 312
52 • 312
55 • 37
The expression that is equivalent to the expression given as (52 • 34)3 is 5^4 • 3^12
How to determine the equivalent expression?The expression is given as:
(52 • 34)3
Rewrite properly as:
(5^2 • 3^4)^3
Expand the expression
(5^2)^2 • (3^4)^3
Evaluate the products of the exponents
(5^4) • (3^12)
Remove the brackets
5^4 • 3^12
Hence, the expression that is equivalent to the expression given as (52 • 34)3 is 5^4 • 3^12
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Answer:
its 5^6 x 3^12
The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
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for a test concerning a mean, a sample of size is obtained from a normal population. the population variance is known. in testing versus , the test statistic is . what is your decision in this test?
For a test concerning a mean, a sample of size is obtained from a normal population. the population variance is known in testing versus the test statistic. Therefore, The Null Hypothesis is Rejected.
Mean:In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values (magnitude and sign) of a particular data set.
For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean.
Sample Size:Sample size is a term used in market research to define the number of subjects included in the sample size. Sample size means the group of subjects selected from the general population and considered representative of the actual population for this particular study.
For example, if you want to predict how a population of a certain age group will react to a new product, you can first test with a sample representative of your target group his size. In this case, the sample size is derived from the number of people interviewed in this age group.
Population Variance:Population variance is a measure of variance that determines how far each data point is from the population mean. Population variance can be defined as the average squared deviation from the mean of the data. Population refers to all observations within a finite group. Population variance is calculated based on the population. However, as the number of observations increases, some data points are selected that can represent the entire population. These specific data points form the sample, and the variance calculated from these data is called the sample variance. We can use the sample variance to estimate the population variance.
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im literally crying because im so stressed and i don't understand if you know the answer please help i will do anything :(
Answer: 9x + 45 = 9x + 45 Infinitely many
Step-by-step explanation: Use distributive property for the left and add like terms for the right
Answer:
9,45,9,45 and infinite
Step-by-step explanation:
ngl im probably wrong but i tried
3. Show how the half angle formula for sin A/2 can be used to find the exact value of sin (202.5°). Show all work (including reference triangles) to simplify your answer.
To use the half angle formula for sin A/2 to find the exact value of sin (202.5°), we first need to write 202.5° as a sum or difference of two angles whose sine values we know.
Since 202.5° is not a standard angle, we can use the fact that it is halfway between 180° and 225° to write:
sin (202.5°) = sin [(180° + 225°)/2]
Now we can apply the half angle formula for sin A/2:
sin (A/2) = ± √[(1 - cos A)/2]
where the sign depends on the quadrant of A/2. In this case, A = (180° + 225°)/2 = 202.5°, which is in the third quadrant where sine is negative. Therefore, we take the negative sign:
sin (202.5°) = -√[(1 - cos 405°)/2]
To find the value of cos 405°, we can use the fact that cos (360° + α) = cos α for any angle α. Therefore:
cos 405° = cos (360° + 45°) = cos 45° = √2/2
Substituting this into our formula for sin (202.5°), we get:
sin (202.5°) = -√[(1 - √2/2)/2]
To simplify this expression, we need to rationalize the denominator. Multiplying numerator and denominator by √2, we get:
sin (202.5°) = -√[2 - √2]/2
Now we can draw a reference triangle in the third quadrant with angle A/2 = 101.25°, opposite side √[2 - √2]/2, and hypotenuse 1. Using the Pythagorean theorem, we can find the adjacent side:
a² + (√[2 - √2]/2)² = 1²
a² = 1 - (2 - √2)/4 = (2 + √2)/4
a = ± √[(2 + √2)/4]
Since cosine is negative in the third quadrant, we take the negative sign:
a = -√[(2 + √2)/4]
Therefore, the exact value of sin (202.5°) is:
sin (202.5°) = -√[2 - √2]/2 = -a = √[(2 + √2)/4]
To find the exact value of sin(202.5°) using the half angle formula, we'll need to use the following formula:
sin(A/2) = ±√[(1 - cos(A))/2]
In this case, A = 202.5° x 2 = 405°. Now, we need to find the reference angle for 405°. Since it's 45° more than a complete circle (360°), the reference angle is 45°.
Next, we need to find the cos(45°). Using the 45-45-90 reference triangle, we know that cos(45°) = √2/2.
Now, we can plug this into the half angle formula:
sin(202.5°) = ±√[(1 - cos(405°))/2] = ±√[(1 - (√2/2))/2]
Since 202.5° is in the third quadrant where both sine and cosine are negative, we'll take the negative root:
sin(202.5°) = -√[(1 - (√2/2))/2]
Now, simplify the expression:
sin(202.5°) = -√[(2 - √2)/4]
This is the exact value of sin(202.5°).
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Sixty three is the product of nine and a number
Sixty three is the product of nine and a number which is seven
What is multiplication?Multiplying in math is the same as adding equal groups.
The number of items in the group grows as we multiply. Parts of a multiplication problem include the product, the two components, and the answer.
In the multiplication problem involving 63 as the product of 9 and another number
let the number be x
9 * x = 63
9x = 63
isolating x by dividing both sides by 9
9x / 9 = 63 / 9
x = 7
the number is 7
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..............help help please help please
Answer: interior angles
Step-by-step explanation:
Answer:
They are interior angles on the same side of the transversal
ang6 =>
180-61
=119
Hope it Helps
I don’t understand #6 question
Answer:
B. (10, 2000)
Step-by-step explanation:
5000 - 300t = 1400ft - 1200f
=> t = 10
10 => (5000 - 300t) = 2000
So the answer is B. (10, 2000)
HOPE THIS HELPS AND HAVE A NICE DAY <3
Find the indicated probability. Round to the nearest thousandth.
An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
a. 0.999
b. 0.100
c. 0.900
d. 0.001
The correct option is a. 0.999. The probability that there is at least one correct answer is 0.999.
The indicated probability that an unprepared student makes at least one correct answer on a quiz with ten true-false questions is:
Step 1: Find the probability of a random guess being correct for a single question. Since there are two choices (true or false), the probability of a correct guess is 1/2 or 0.5.
Step 2: Calculate the probability of guessing all ten questions incorrectly. The probability of guessing a single question incorrectly is
1 - 0.5 = 0.5.
Therefore, the probability of guessing all ten questions incorrectly is
0.5^10 = 0.0009765625.
Step 3: To find the probability of guessing at least one correct answer, we subtract the probability of guessing all questions incorrectly from 1:
1 - 0.0009765625 = 0.9990234375.
Step 4: Round the probability to the nearest thousandth: 0.999.
The indicated probability is option (a) 0.999.
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solve the equation for y7x + 4y = 8
To solve the equation for a variable we need to isolate the variable on the left side of the equation. The expression is:
\(7x+4y=8\)To start we need to subtract by "7x" on both sides of the equation.
\(\begin{gathered} 7x+4y-7x=8-7x \\ 4y=8-7x \end{gathered}\)We then need to divide both sides by 4.
\(\begin{gathered} \frac{4y}{4}=\frac{8-7x}{4} \\ y=\frac{8-7x}{4} \end{gathered}\)Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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According to the map on the left, Central Park is about 50 blocks long by 9 blocks wide. What is the approximate area of the park? Show your work.
In the given map, the approximate area of the Central Park is 450 blocks
Calculating the approximate area of the parkFroom the question, we are to determine the approximate area of the central park.
The park is a rectangular park and the approximate area of the park can be calculated by using the formula for calculating the area of a rectangle.
If Central Park is about 50 blocks long by 9 blocks wide, we can find its approximate area by multiplying the length and width:
Area = Length x Width
Area = 50 x 9
Area = 450
Hence, the approximate area of Central Park is 450 blocks.
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