Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Develop the least squares estimated regression equation. What is the coefficient of determination? x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2
Answers
Answer:
Step-by-step explanation:
Hello!
Given the independent variable X and the dependent variable Y (see data in attachment)
The regression equation is
^Y= b₀ + bX
Where
b₀= estimation of the y-intercept
b= estimation of the slope
The formulas to manually calculate both estimations are:
[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }[/tex]
[tex]b_0= \frac{}{y} - b*\frac{}{x}[/tex]
n=7
∑X= 42
∑X²= 292
∑Y= 49
∑Y²= 403
∑XY= 249
[tex]\frac{}{y} = \frac{sumY}{n} = \frac{49}{7} = 7[/tex]
[tex]\frac{}{x} = \frac{sumX}{n} = \frac{42}{7} = 6[/tex]
[tex]b= \frac{249-\frac{42*49}{7} }{292-\frac{42^2}{7} }= -1.13[/tex]
[tex]b_0= 7- (-1.13)*6= 13.75[/tex]
^Y= 13.75 - 1.13X
Using the raw data you can calculate the coefficient of determination as:
[tex]R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]}[/tex]
[tex]R^2= \frac{(-1.13)^2[292-\frac{(42)^2}{7} ]}{[403-\frac{(49)^2}{7} ]}= 0.84[/tex]
This means that 84% of the variability of the dependent variable Y is explained by the response variable X under the model ^Y= 13.75 - 1.13X
I hope this helps!
Related Questions
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function h(t)= -4.9t^2 + 9.8t + 1. How long does it take for the baseball to reach its maximum height? What is the maximum height obtained by the baseball?
Answers
Answer:
Step-by-step explanation:
max can be found by the formula:
t=-b/2a
t=-9.8/2*(-4.9)
t=-9.8/-9.8
t=1
1 sec
to find maximum height obtained we find the vertex:
plug in 1 for t and simply solve:
h(t)= -4.9t^2 + 9.8t + 1
h(t)= -4.9*1^2 + 9.8*1 + 1
h(t)= -4.9*1 + 9.8 + 1
h(t)= -4.9 + 10.8
h(t)= 5.9
height is 5.9
2) A bike racer completed a 20.0 kilometer race. She pedaled the first 5.0 kilometers with an average speed of 20.0 km/hr. She pedaled the next 5.0 kilometers (which were uphill) at an average speed of 10.0 km/hr. She completed the next 5.0 kilometers (which were downhill) at an average speed of 25.0 km/hr and the final 5.0 kilometers she covered at an average speed of 20.0 km/houra) (2point) How long did it take the biker to complete the race
Answers
Answer:
Step-by-step explanation:
Time = distance/speed
Considering the first stage,
Speed = 20km/hr
Distance = 5km
Time = 5/20 = 0.25 hour
Considering the second stage,
Speed = 10km/hr
Distance = 5km
Time = 5/10 = 0.5 hour
Considering the third stage,
Speed = 25km/hr
Distance = 5km
Time = 5/25 = 0.2 hour
Considering the third stage,
Speed = 20km/hr
Distance = 5km
Time = 5/20 = 0.25 hour
Therefore, the time it took the biker to complete the race is
0.25 + 0.5 + 0.2 + 0.25 = 1.2 hours
Fill out the tables for each scenario and answer the question that follows. Use $7.25 as the minimum wage and remember that employees in the United States must be paid time-and-a-half (1.5 times the normal hourly rate) for each hour worked over 40 hours per week
Answers
Answer:
see below for the table valuesUS labor cost: $115275 per yearStep-by-step explanation:
The labor charge is for (6 days/week). In Mongolia, the charge per laborer is then ...
(6 days/week)($1.10/day) = $6.60/week
The three laborers working 50 weeks/year will have a labor cost of ...
(3 laborers)($6.60/week/laborer)(50 weeks/year) = $990/year
__
In the US, the labor charge per person per week is ...
(14 hr/day)(6 day/week) = 84 hr/week
That's 40 hours of straight pay and 44 hours of overtime pay, or ...
7.25(40 +1.5(44)) = 7.25(106) = 768.50
For 150 person-weeks per year, the total US labor charge is ...
($768.50/person/week)(3 persons)(50 weeks/year) = $115,275/year
__
The materials cost for a year is ...
($50/rug)(12 rugs/year) = $600/year
__
The revenue is ...
($2000/rug)(12 rugs/year) = $24,000/year
Profit is the difference between revenue and the total of costs:
profit = $24,000 -($990 +600 +10000) = $12410 . . . made in Mongolia
__
So, the table gets filled as follows:
(labor, material, fixed cost, revenue, profit)
Mongolian-made
($990, $600, $10000, $24000, $12410)
US-made
($115275, $600, $10000, $24000, -$101,875)
The US labor cost would be $115,275.
_____
Comment
For the given selling price, the break-even labor cost is about $1.06 per hour (on average). At US labor rates, the break-even selling price is about $10,490 per rug.
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. Assume that the population standard deviation for Compound 1 is 4414 miles, while the population standard deviation for Compound 2 is 2368 miles. Determine the 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.
Answers
Answer:
THEREFORE THE CONFIDENCE INTERVAL from the Z table = ±1.645
Step-by-step explanation:
Confidence level = 95% = 0.95
compound 1
Number of samples ( n1 ) = 243
Average brake life ( x1 ) = 37866 miles
standard deviation ( ∝ ) = 4414 miles
compound 2
number of samples ( n2 ) = 268
Average brake life ( x2 ) = 45789 miles
standard deviation ( ∝ ) = 2368 miles
Determine the 95% confidence interval for the true difference between average lifetimes
significance level (β) = 1 - confidence level = 1 - 0.95 = 0.05
standard error = [tex]\sqrt{\frac{\alpha1^2 }{n1} + \frac{\alpha2^2}{n2} }[/tex] = [tex]\sqrt{}[/tex]( 4414^2/243) + (2368^2/268) =
critical value = 0.05/2 =Z 0.025 = 1.645
THEREFORE THE CRITICAL VALE from the Z table = ±1.645
A tire manufacturer wants to estimate the average number of miles that may be driven in a tire of a certain type before the tire wears out. Assume the population is normally distributed. A random sample of tires is chosen and are driven until they wear out and the number of thousands of miles is recorded, find the 97% confidence interval using the sample data.
Answers
Answer:
97% confidence interval for the average number of miles that may be driven is [26.78 miles, 33.72 miles].
Step-by-step explanation:
We are given that a random sample of tires is chosen and are driven until they wear out and the number of thousands of miles is recorded;
32, 33, 28, 37, 29, 30, 22, 35, 23, 28, 30, 36.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample average number of miles = [tex]\frac{\sum X}{n}[/tex] = 30.25
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 4.71
n = sample of tires = 12
[tex]\mu[/tex] = population average number of miles
Here for constructing a 97% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.
So, 97% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.55 < [tex]t_1_1[/tex] < 2.55) = 0.97 {As the critical value of t at 11 degrees of
freedom are -2.55 & 2.55 with P = 1.5%}
P(-2.55 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.55) = 0.97
P( [tex]-2.55 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.55 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.97
P( [tex]\bar X-2.55 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.55 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.97
97% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.55 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.55 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]30.25-2.55 \times {\frac{4.71}{\sqrt{12} } }[/tex] , [tex]30.25+2.55 \times {\frac{4.71}{\sqrt{12} } }[/tex] ]
= [26.78 miles, 33.72 miles]
Therefore, 97% confidence interval for the average number of miles that may be driven is [26.78 miles, 33.72 miles].
What is the solution to this equation? 4x+x-15+3-8x=13
Answers
Answer:
x = -25/3
Step-by-step explanation:
The equation simplifies to -3x - 25 = 0, so
-3x = 25 =>
x = -25/3
find the quotient of (5+4i)/(6+8i) ans express in simplest forms
Answers
Answer:
Your correct answer is 31/50 + -4/25 i
Step-by-step explanation:
5+4i/6+8i = 31/50 + -4/25 i
wow I can't start typing the message an open cylindrical container has a base radius of 3.5 cm if the ratio of the area of its base to that of its curved surface is 1:6, calculate the height of the container
Answers
Answer:
height = 10.5 cm (for open-top container)
Step-by-step explanation:
The area of the base is ...
A = πr²
The lateral area is ...
A = 2πrh
We want the ratio of these to be 1:6, so we have ...
πr²/(2πrh) = 1/6
6πr² = 2πrh . . . cross multiply
h = 3r . . . . . . . divide by 2πr
h = 3(3.5 cm) = 10.5 cm
The height is 10.5 cm.
4 - (-5) + 04−(−5)+0
Answers
Answer:
18
Step-by-step explanation:
4 - (-5) + 04 - (- 5)+0
Negative times negative cancels.
4 + 5 + 4 + 5 + 0
Add the terms.
9 + 9 + 0
= 18
Answer:
Step-by-step explanation:
4-(-5)+04-(-5)+0
4+5+04+5+0
14+04
if you meant 0.4 then, it would be 14.4
if you mean 04 then, it would be 18
Which equation is the inverse of y = x2 + 16? y = x2 – 16 y = plus-or-minus StartRoot x EndRoot minus 16 y = plus-or-minus StartRoot x minus 16 EndRoot y = x2 – 4
Answers
Answer:
[tex]\pm \sqrt{x-16}[/tex] is the inverse of [tex]y = x^2 + 16[/tex]
Step-by-step explanation:
Given that:
[tex]y = x^2 + 16[/tex]
Let us proceed step by step to calculate the inverse:
Step 1: Put [tex]y = f(x)[/tex]
[tex]f(x) = y=x^2 + 16[/tex]
Step 2: Interchange [tex]x[/tex] and [tex]y[/tex]:
[tex]x = y^2 + 16[/tex]
Step 3: Solve the equation to find the value of [tex]y[/tex]:
[tex]y^2 =x- 16\\\Rightarrow y =\pm \sqrt{x- 16}[/tex]
Step 4: Replace [tex]y[/tex] with [tex]f^{-1}(x)[/tex]:
[tex]\Rightarrow y =f^{-1}(x)=\pm \sqrt{x- 16}[/tex]
So, the inverse of [tex]y = x^2 + 16[/tex] is [tex]\pm \sqrt{x- 16}[/tex].
The equation which is the inverse of y = x2 + 16 is; f-¹ = y = ±√(x -16)
To evaluate the inverse of the function, y = x2 + 16.
We must first make x the subject of the formula and swap x and y as follows;
x = ±√(y - 16)y = ±√(x - 16)Therefore, the inverse function is;
f-¹ = y = ±√(x -16)Read more on inverse function:
https://brainly.com/question/14391067
You find 20 coins consisting only of nickels, dimes, and quarters, with a face value of $2.65. However, the coins all date from 1929, and are worth considerably more than their face value. A coin dealer offers you $7 for each nickel, $5 for each dime, and $20 for each quarter, for a total of $221. How many of each type of coin did you find
Answers
Answer:
8 nickels, 5 dimes and 7 quarters
Step-by-step explanation:
Each nickel is $0.05, each dime is $0.10 and each quarter is $0.25.
So, if we have n nickes, d dimes and q quarters, we can write the system of equations:
[tex]n + d + q = 20\ (eq1)[/tex]
[tex]0.05n + 0.1d + 0.25q = 2.65\ (eq2)[/tex]
[tex]7n + 5d + 20q = 221\ (eq3)[/tex]
If we multiply (eq2) by 140 and (eq1) by 7, we have:
[tex]7n + 14d + 35q = 371\ (eq4)[/tex]
[tex]7n + 7d + 7q = 140\ (eq5)[/tex]
Now, making (eq4) - (eq3) and (eq5) - (eq3), we have:
[tex]9d + 15q = 150\ (eq6)[/tex]
[tex]2d - 13q = -81\ (eq7)[/tex]
Multiplying (eq7) by 4.5, we have:
[tex]9d - 58.5q = -364.5\ (eq8)[/tex]
Subtracting (eq6) by (eq8), we have:
[tex]73.5q = 514.5[/tex]
[tex]q = 7[/tex]
Finding 'd' using (eq6), we have:
[tex]9d + 15*7 = 150[/tex]
[tex]9d = 150 - 105[/tex]
[tex]d = 5[/tex]
Finding 'n' using (eq1), we have:
[tex]n + 5 + 7 = 20[/tex]
[tex]n = 8[/tex]
So we have 8 nickels, 5 dimes and 7 quarters.
Harriet has a square piece of paper. She folds it in half again to form a second rectangle (the high is not a square). The perimeter of the second rectangle is 30cm. What is the area of the original piece of paper?
Answers
Answer:
The area of the original piece of paper is 60cm
Answer:
the answer is 60
hope it helps :D
Step-by-step explanation:
According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value of 12/5
Answers
Answer:
Tangent
Step-by-step explanation:
if the angle in question is the bottom of the ladder and the ground, then tangent is opposite over adjacent... or 12/5
Hope this is right
Let P(x) be the open sentence "x has three sides," where the domain for x is the set of all squares. Provide a translation of the statement for all x space P (x ).
Answers
Answer:
The statement translate to 'Every square has three sides'
Step-by-step explanation:
Since P(x) is an open sentence and the domain for x is the set of all squares, its means that whatever that is applicable to one square also applicable to others
wich of the following properties was used for 3(x+2)=3x+6
Answers
Answer:
you will want to have a good understanding of these properties to make the problems in ... Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. ... “three times the variable x” can be written in a number of ways: 3x, 3(x), or 3 · x. ... Use the distributive property to evaluate the expression 5(2x – 3) when x = 2.
y
The distributive property tells us that if were given an expression such as 3(x + 2), we can multiply the 3 by both the x and the 2 to get 3x + 6.
Please answer this correctly
Answers
Answer:
4 because 6th floor has no office
Answer:
5 floors
Step-by-step explanation:
Fewer than 80 makes it 0-79
So,
0-79 => 5 floors
Scores on a recent national statistics exam were normally distributed with a mean of 82.2 and a standard deviation of 5.If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award
Answers
Answer:
The lowest score eligible for an award is 92.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 82.2, \sigma = 5[/tex]
If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award
The lowest score is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975. So X when Z = 1.96. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 82.2}{5}[/tex]
[tex]X - 82.2 = 5*1.96[/tex]
[tex]X = 92[/tex]
The lowest score eligible for an award is 92.
How many cubes with side lengths of end fraction 1/2 cm does it take to fill the prism? btw anyone who answers this first will be marked the brainiest answer and get a thanks from me :)
Answers
Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 6x and C(x) equals = 0.002x^2+2.2x+40, find each of the following. a. p(x) b.p(100) c. P'(x) d.P'(100)
Answers
Answer:
[tex]a.\ P(x) = - 0.002x^2+3.8x-40[/tex]
b. 320
[tex]c.\ P'(x) = -0.004 x + 3.8[/tex]
d. 3.76
Step-by-step explanation:
Given that:
Revenue function:
[tex]R(x) = 6x[/tex]
Cost Function:
[tex]C(x) = 0.002x^2+2.2x+40[/tex]
We know that,
Answer a: Profit = Revenue - Cost
[tex]\Rightarrow P(x) = R(x) - C(x)\\\Rightarrow P(x) = 6x - (0.002x^2+2.2x+40)\\\Rightarrow P(x) = - 0.002x^2+3.8x-40[/tex]
Answer b:
P(100) = ?
Putting value of x as 100 in above equation:
[tex]P(100) = - 0.002\times 100^2+3.8 \times 100-40\\\Rightarrow P(100) = -20+380 -40\\\Rightarrow P(100) = 320[/tex]
Answer c:
P'(x) = ?
Differentiating the equation [tex]P(x) = - 0.002x^2+3.8x-40[/tex]
[tex]P'(x) = -2 \times 0.002 x^{2-1} + 3.8 + 0\\P'(x) = -0.004 x + 3.8[/tex]
Answer d:
P'(100) = ?
Putting x = 100 in equation [tex]P'(x) = -0.004 x + 3.8[/tex]
[tex]P'(100) = -0.004 \times 100 + 3.8\\P'(100) = -0.4 + 3.8\\P'(100) = 3.76[/tex]
Which expressions are equivalent to –9
(2/3x+1)? Check all that apply.
Answers
Answer:
-18/3x - 9
Step-by-step explanation:
-9(2/3x + 1)
Expand.
-18/3x + -9
Which is most likely the correlation coefficient for the set of data shown
Answers
Answer:
The correct answer to the following question will be "0.19".
Step-by-step explanation:
A correlation seems to be a statistical measure of how well the evidence matches the best comment. The better or larger the correlation, the stronger the match, through to 1.0 or -1.0. A positive relationship between the two indicates a growing statistical model, although a negative correlation or confidence interval suggests a down set of data.Value varies from -1.0 to 1.0. A significance level of 0.05 indicates less than -1.0 indicates that there had been a mistake throughout the calculation of correlation.So that the above seems to the right answer.
a dock is 5 feet above water. suppose you stand on the edge of the dock and pull a rope to a boat at a constant rate of 2 ft/s. assume the boat remains at water level. at what speed is the boat approaching the dock when it is 4 feet from the dock
Answers
Answer:
The boat is approaching the dock at a speed of 3.20 ft/s when it is 4 feet from the dock.
Step-by-step explanation:
The diagram of the situation described is shown in the attached image.
The distance of the boat to the dock along the water level at any time is x
The distance from the person on the dock to the boat at any time is y
The height of the dock is 5 ft.
These 3 dimensions form a right angle triangle at any time with y being the hypotenuse side.
According to Pythagoras' theorem
y² = x² + 5²
y² = x² + 25
(d/dt) y² = (d/dt) (x² + 5²)
2y (dy/dt) = 2x (dx/dt) + 0
2y (dy/dt) = 2x (dx/dt)
When the boat is 4 ft from dock, that is x = 4 ft,
The boat is being pulled at a speed of 2 ft/s, that is, (dy/dt) = 2 ft/s
The speed with which the boat is approaching the dock = (dx/dt)
Since we are asked to find the speed with which the boat is approaching the dock when the boat is 4 ft from the dock
When the boat is 4 ft from the dock, x = 4 ft.
And we can obtain y at that point.
y² = x² + 5²
y² = 4² + 5² = 16 + 25 = 41
y = 6.40 ft.
So, to the differential equation relation
2y (dy/dt) = 2x (dx/dt)
when x = 4 ft,
y = 6.40 ft
(dy/dt) = 2 ft/s
(dx/dt) = ?
2 × 6.40 × 2 = 2 × 4 × (dx/dt)
25.6 = 8 (dx/dt)
(dx/dt) = (25.6/8) = 3.20 ft/s.
Hope this Helps!!!
Which expression is equivalent to negative 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4?
Answers
Answer:
-4*4^7
Step-by-step explanation:
Answer:
-65536
Step-by-step explanation:
I do not think I understand the question but -4*4*4*4*4*4*4*4=-65536
I think there may be missing information like if the question is multiple choice.
Hope that helps
what set of Reflections and rotations could carry ABCD onto itself?
Answers
Reflect over y-axis,reflect over the X axis ,rotate 180°
Option D is the correct option.
Explanation:
Let's take point A which is (4,-1)
Reflection over y- axis will make this point (4,1)
Then, reflection over X axis will make this point (4,-1)
After rotation of 180 degree we will get (-4,1) .
Please see the attached picture....
Hope it helps...
Good luck on your assignment...
Answer: d) reflect over the x-axis, reflect over y-axis, rotate 180°
Step-by-step explanation:
A reflection over the x-axis and a reflection over the y-axis is the SAME as a rotation of 180°. Together they make a rotation of 360°, which results in the image staying at the same place.
Reflection over the x-axis changes the sign of the y-coordinate
Z = (x, y) → Z' = (x, -y)
Reflection over the y-axis changes the sign of the x-coordinate
Z' = (x, -y) → Z'' = (-x, -y)
Rotation of 180° changes the signs of both the x- and y-coordinates
Z'' = (-x, -y) → Z''' = (x, y)
PLEASE ANSWER!!!!!!!! Which system of equations does this graph represent? Linear graph and parabola. They intersect at 2, negative 1 and negative 3, 4 (1 point)
A. y = x2 − 5 y = −x + 1
B. y = x2 − 5 y = −x − 1
C. y = x2 + 5 y = −x + 1
D. y = x2 + 5 y = −x − 1
Answers
Answer:
Option (A)
Step-by-step explanation:
For equation of the line,
Let the equation is, y = mx + b
Slope 'm' of the line passing through two points (-3, 4) and (2, -1),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4+1}{-3-2}[/tex]
= -1
y-intercept of this line, b = 1
Now we substitute these values in the equation,
y = -x + 1
Let the equation of the parabola is,
y = a(x - h)² + k
Here, (h, k) is the vertex of the parabola,
Since vertex of the given parabola is (0, -5),
then the equation will be,
y = a(x - 0)²- 5
y = ax² - 5
Since a point (2, -1) lies on this parabola,
-1 = a(2)² - 5
5 - 1 = 4a
a = 1
Equation of the parabola will be,
y = x² - 5
Therefore, Option (A) will be the answer.
Surface area of a cylinder: S = 2ar+2arh , solve for h.
Answers
Answer:
[tex]h = \frac{s - 2ar}{2ar} \\ [/tex]
Step-by-step explanation:
[tex]s = 2ar + 2arh \\ s - 2ar = 2arh \\ \frac{s - 2ar}{2ar} = \frac{2arh}{2ar} \\ h = \frac{s - 2ar}{2ar} [/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
Select the correct answer from each drop-down menu. Month____ Balance ($) January 45 February 10 March -15 April -35 May -5 The table shows the balance in David’s bank account for the first five months of the year. David’s balance was highest in ____ , and his debt was highest in _____
Answers
Answer:
end
January
April
1st blank might also be (account)
Answer:
January and April
Step-by-step explanation:
eric has practiced more than 40 hours with his band. Write an inequality to express this situation. On the graph below, graph Erics situation
Answers
Answer:
We can call the variable e. "more than" is denoted by > so the inequality is e > 40. To graph it, draw a circle on the tick mark that has 40 underneath it but don't fill in the circle. Then, draw a continuous line to the right of the circle and draw an arrow at the end of it to show that it goes on forever.
A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with four different members. There are 13 qualified​ candidates, and officers can also serve on the committee. A. How many different ways can the officers be​ appointed?B. How many different ways can the committee be​ appointed?
C. What is the probability of randomly selecting the committee members and getting the four youngest of the qualified​candidates?
Answers
Answer:
A) 715 ways
B) 715 ways
C) (1/715)
Step-by-step explanation:
This is a permutation and combination problem.
Since we want to select a number of people from a larger number of people, we use combination as the order of selection isn't important now.
A) How many different ways can the officers be appointed?
There are 4 officer positions.
There are 13 people in total.
We want to select 4 people from 13
Number of ways to select 4 people from 13 = ¹³C₄ = 715
B) How many different ways can the committee be appointed?
Number of committee members = 4
Total number of people available = 13
Number of ways to select 4 people from 13 = ¹³C₄ = 715
C) What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates?
Selecting a group of the youngest candidates is just 1 amongst the total number of ways the 4 committee members can be picked,
Hence, the required probability = (1/715)
Hope this Helps!!!
URGENT! WILL GIVE BRANLIEST!!! THX TO THOSE WHO ARE WILLING TO TAKE A LOOK. :) 3 QUESTIONS
2. Write a similarity statement comparing the two triangles
FIRST IMAGE
A) LNM-ONP
B) NML-NOP
C) MLN-PNO
3. For GH in triangle GHJ, what is the corresponding segment in triangle HIJ?
SECOND PICTURE
A) HG
B) HI
C) IJ
4. JH is the geometric mean of which two segments?
SECOND PICTURE JUST LIKE THE QUESTION ABOVE
A) GH AND HI
B) GJ AND GH
C) JI AND HI
Answers
Answer:
2. A) LNM-ONP
3. B) HI
4. A) GH AND HI
Step-by-step explanation:
2. corresponding sides of similar triangle are proportional and corresponding angles are congruent
3. it seems that triangles are 45-45-90 so GH correspondents with HI
4. JH is geometric mean of line segment making hypotenuse
so JH = [tex]\sqrt{GH*HI}[/tex]