Therefore, there are 37 race monitors in the entire 10-kilometer race.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It usually contains one or more variables, and the goal is to find the value of the variable(s) that satisfies the equation. An equation can be written in various forms, such as standard form, slope-intercept form, or general form, depending on the type of equation and the information given. Equations are used in many areas of mathematics, science, and engineering to model and solve problems.
Here,
There are race monitors every 0.25 kilometers, so we can divide the race into segments of 0.25 kilometers.
The first segment is from 1 kilometer to 1.25 kilometers. Since there are no monitors for the first kilometer, we only need to count the monitors from 1 kilometer to the finish line.
To find the number of monitors from 1 kilometer to the finish line, we can subtract 1 from the total distance of the race and then divide by 0.25 (since there is a monitor every 0.25 kilometers after the first kilometer):
(10 - 1) / 0.25 = 36
So there are 36 race monitors from 1 kilometer to the finish line. But since there are no monitors for the first kilometer, we need to add 1:
36 + 1 = 37
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a prediction equation for starting salaries (in $1,000s) and sat scores was performed using simple linear regression. in the regression printout shown below, what can be said about the level of significance for the overall model?
We can say about model is that the significance level for SAT indicates the slope is equal to zero. The correct answer is D.
The level of significance for the overall model is indicated by the "Significance F" value in the ANOVA table. In this case, the Significance F value is 2.42144E-05, which is very small (less than 0.05), indicating that the overall model is significant.
However, the significance level for the coefficient of SAT is 2.42E-05, which is also very small, indicating that SAT is a good predictor of starting salary and the slope is not equal to zero. The significance level for the intercept is 0.008324, which is also small, indicating that the intercept is very significantly different from zero. Therefore, option D is the correct answer.
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--The given question is incomplete, the complete question is given
" A prediction equation for starting salaries in $1,000s) and SAT scores was performed using simple linear regression. In the regression printout shown below, what can be said about the level of significance for the overall model? SUMMARY OUTPUT Regression Statistics Multiple R 0.935018123 R Square 0.87425889 Adjusted R Square 0.860287655 Standard Error 3.307295949 Observations 11 ANOVA df Regression Residual Total 1 9 10 SS MS F Significance F 684.4652324 684 4652 62.57564 2.42144E-05 98.44385847 10.93821 782 9090909 Intercept SAT Coefficients Standard Error Stat P.value Lower 95% -29.14060468 8.660080997 -3.36493 0.008324 -48.73108387 0.065443841 0.008273059 7.910476 2.42E-05 0.046728866 Select one: A. The significance level for the intercept indicates the model is not valid B. The significance level for SAT indicates the slope is not equal to zero. CSAT is not a good predictor for starting salety D. The significance level for SAT indicates the slope is equal to zero E None of the above"--
What is the value of the y-coordinate of the ordered pair that reflects (2-12) over the x-axis?
What exactly is a circle? How do we use circles to reason about distance without using a ruler?
A circle is a closed curve with all points equidistant from a fixed point called the center, characterized by a radius and diameter.
A circle is a two-dimensional geometric shape consisting of all points in a plane that are equidistant from a fixed point called the center. In other words, a circle is a closed curve that forms a perfect, continuous loop, where every point on the curve is the same distance from the center.
The distance between the center of the circle and any point on the curve is called the radius, which is denoted by the letter 'r'. The diameter of a circle is the distance across the circle passing through the center and is twice the length of the radius.
Circles have many important properties and are fundamental to many areas of mathematics, science, and engineering. They are often used in geometry to model real-world phenomena and are used in a wide range of applications, from constructing wheels to designing satellites.
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I have solved the question in general, as the given question is incomplete.
The complete question is:
What is circle?
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answer:
The radius of the circle is 3 units.
The center of the circle lies on the y-axis.
Step-by-step explanation:
The circle equation is :
x² + (y-1)² = 3²
center: (0, 1) The center of the circle lies on the y-axis.
Radius: 3 The radius of the circle is 3 units.
.
Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
A.
5 − 3x = -17
B.
|5 − 3x| = -17
C.
5 + 3x = -17
D.
|5 + 3x| = 17
Answer:
Step-by-step explanation:
The absolute value (or modulus) | 5 - 3x | of a real number 5 - 3x is the non-negative value of 5 - 3x without regard to its sign.
| 5 - 3x| + 2 = 19
| 5 + 3x | = 19 - 2
| 5 + 3x | = 17
Ans: D
the weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. refer to exhibit 6-3. what percent of players weigh between 180 and 220 pounds?
The approximately 57.62% of football players weigh between 180 and 220 pounds.
How to find percent of players weigh between 180 and 220 pounds using standard normal distribution?Since the weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds, we can use the standard normal distribution to find the proportion of players who weigh between 180 and 220 pounds.
We first need to convert the weights to standard units by using the formula:
z = (x - mu) / [tex]\Sigma[/tex]
where:
x = the weight we want to convert to standard units
mu = the mean weight of the players (200 pounds)
sigma = the standard deviation of the players' weights (25 pounds)
For the lower end of the range, we have:
z1 = (180 - 200) / 25 = -0.8
For the upper end of the range, we have:
z2 = (220 - 200) / 25 = 0.8
Now, using a standard normal distribution table or calculator, we can find the proportion of players between z1 and z2:
P(-0.8 < z < 0.8) = 0.7881 - 0.2119 = 0.5762
Therefore, approximately 57.62% of football players weigh between 180 and 220 pounds.
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The amount y (in dollars) of money in your
savings account after x months is represented by the equation y = 12.5x+100.
A Graph the linear equation
b. How many months will it take to save a total of $237.50
A. we can plot another point at (1, 112.5), and continue this pattern to draw the line. Linear equation graph
B. It will take 11 months to save a total of $237.50.
What is a graph?
In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).
a. To graph the linear equation y = 12.5x+100, we can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Comparing y = 12.5x+100 to y = mx + b, we can see that the slope is 12.5 and the y-intercept is 100.
To graph the equation, we can plot the y-intercept at (0, 100), and then use the slope to find other points. The slope of 12.5 means that for every increase of 1 in x (i.e. for every month), y increases by 12.5. So, we can plot another point at (1, 112.5), and continue this pattern to draw the line.
linear equation graph
b. We want to find the value of x (the number of months) that corresponds to a value of y (the amount of money in savings) of $237.50.
We can set y = 237.50 in the equation y = 12.5x+100, and solve for x:
237.50 = 12.5x+100
Subtracting 100 from both sides, we get:
137.50 = 12.5x
Dividing both sides by 12.5, we get:
x = 11
So, it will take 11 months to save a total of $237.50.
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Using a standard deck of playing cards, what is the probability of drawing a four, replacing the card, and then drawing a club?
Hence, the likelihood that this series of events will occur is 1 in 52, or around 0.019 or 1.9%.
what is probability ?A measure of how likely something is to happen is called probability. It is stated as a value between zero and 1, with 0 denoting impossibility and 1 denoting certainty of the event. An event has a higher likelihood of happening if it has a higher probability. Probability is used to represent and study random processes in a wide range of disciplines, such mathematics, statistics, science, and engineering.
given
Given that there are four fours in a regular 52-card deck, the likelihood of drawing a four is 4/52. Due to the fact that there are 13 clubs in the deck, the likelihood of drawing a club once the card has been replaced is 13/52.
As a result, the likelihood of drawing a four followed by a club is:
(4/52) x (13/52) = 1/52
Hence, the likelihood that this series of events will occur is 1 in 52, or around 0.019 or 1.9%.
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if you used this version of the equation (including your new conversion factor, how would this have changed the intercept of your log-log graph? what would its value have been?
The equation with the new substitutions and conversion factor is a'B'T' = (1/6) * (2/3)^(1/3) * a^(1/3) * d^(1/2)*a^6/6 where k is (1/6) * (2/3)^(1/3) * a^(1/3) * d^(1/2) The intercept value of the log-log graph would have been -1.108.
Starting with Equation 4: T = ka^6/6, we can substitute a = (d/k)^(1/6) and b = (2/3)^(1/2) * (d/k)^(1/3) to get
T = k[(d/k)^(1/6)]^6/6
T = k(d/k)^(1/2)/6
T = (k^(1/2)/6) * d^(1/2)
Now we can rearrange the equation so that a, b, and t are on the left side
a'B'T' = ka^6/6
(a/d)^(1/6) * b^(2/3) * T' = k[(a/d)^(1/6)]^6/6 * T'
(a/d)^(1/6) * (2/3)^(1/2) * (d/k)^(1/3) * T' = (k^(1/2)/6) * d^(1/2) * T'
(2/3)^(1/2) * (a/d)^(1/6) * d^(1/3) * T' = (k^(1/2)/6) * d^(1/2) * T'
(2/3)^(1/2) * (a/d)^(1/6) * d^(1/3) = k^(1/2)/6
k = [(2/3)^(1/2) * (a/d)^(1/6) * d^(1/3)]^2/6
k = (1/6) * (2/3)^(1/3) * a^(1/3) * d^(1/2)
With this new conversion factor, the intercept of the log-log graph would have changed. The intercept represents the value of T when a = 1 (since log(1) = 0). Using the new conversion factor, we have
T = (1/6) * (2/3)^(1/3) * d^(1/2) * a^(1/3)
T = (1/6) * (2/3)^(1/3) * d^(1/2)
log(T) = log[(1/6) * (2/3)^(1/3) * d^(1/2)]
log(T) = log(1/6) + log[(2/3)^(1/3)] + log(d^(1/2))
log(T) = log(1/6) + (1/3) * log(2/3) + (1/2) * log(d)
So the intercept of the log-log graph would be log(1/6) + (1/3) * log(2/3) = -1.108, assuming that d is held constant. This intercept represents the value of log(T) when log(a) = 0, or when a = 1. In other words, when a = 1, the predicted value of T would be 0.162 (or 16.2% of its maximum value).
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--The given question is incomplete, the complete question is given
" Plug the two substitutions into Equation 4 (T = ka^6/6)). Rearrange the equation so that a, b,t are on the left side of the equation and d remains on the right side, e.g. a'B'T' = ka^6/6 you will figure out what the "k" if you used this version of the equation (including your new conversion factor, how would this have changed the intercept of your log-log graph? what would its value have been?"--
Find the number of possibilities in each scenario .
Hw-22.2 -permutations with repetition
A group of 30 people are going to run a race.
The top three runners earn gold, silver, and
bronze medals.
By answering the presented question, we may conclude that Hence expressions there are 24,360 different methods to give gold, silver, and bronze medals to the top three runners from a group of 30.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator
A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases.
An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
Because the same individual cannot win more than one medal, we must compute the number of ways to give the medals using permutations and combination without repetition. There are 30 options to pick the gold medallist from 30 people, 29 ways to choose the silver medalist from the remaining 29 people, and 28 ways to choose the bronze medalist from the remaining 28 people. As a result, the total number of options is:
30 x 29 x 28 = 24,360
Hence there are 24,360 different methods to give gold, silver, and bronze medals to the top three runners from a group of 30.
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GEOMETRY: TRIGONOMETRIC RATIOS
Which of the following equations correctly represents the distance between points (1,-1) and (-2,2)
Answer:
Option 2
Step-by-step explanation:
Recall the distance formula:
[tex]\sqrt{(x^1-x^2)+(y^1-y^2)}[/tex]
(note that this formula can be switched around. x^1 and x^2 can be switched and y^1 and y^2 can be switched and you could put the y's parentheses in front of the x's parentheses)
If we insert our numbers into our question we can see that they match option 2. (remember, two negatives make a positive)
Therefore, the answer is option 2.
Jane takes her turn on the vine to practice her swing. As she swings, she goes back and forth across the river bank alternately over land and water. She has spent some time thinking about her motion and tells Tarzan to set the stopwatch to take measurements. Assume that her distance varies sinusoidally with the time of her swing. Tarzan finds that when time is 2 seconds, she is -30 feet over land. At time equals 6 seconds, she has crossed 20 feet of water.
The equation for the sinusoidal function that represents Jane's motion would be d(t) = 25 x sin(π/4 x (t + 4)) - 5
How to find the sinusoidal function ?Let d(t) be the distance Jane is from the bank (in feet) at time t (in seconds). Since Jane's motion is sinusoidal, we can express it as:
d(t) = A x sin(B x (t - C)) + D
We need to find the values of A, B, C, and D that satisfy these conditions.
Since the amplitude is half the peak-to-peak amplitude, we have:
A = 50 / 2 = 25
The vertical shift (D) is the average of the maximum and minimum distances:
D = (20 + (-30)) / 2 = -10 / 2 = -5
Since the sine function is -1 at 3π/2 (270 degrees), we have:
π/4 x (2 - C) = 3π/2
2 - C = 6
C = -4
So, the equation of the sinusoidal function representing Jane's motion is:
d(t) = 25 x sin(π/4 x (t + 4)) - 5
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The question is:
Find the sinusoidal function that represents Jane's motion.
A rectangular mural measures 890 centimeters by 2891
centimeters. Hailey creates a new mural that is 66 centimeters
longer
The perimeter of the rectangular mural after increasing the dimensions by Hailey is equal to 7826 centimeters.
Measures of rectangular mural are,
length = 890 centimeters
Width = 2891 centimeters
New mural is 66 centimeters longer.
The new dimensions of the rectangular mural will be,
New length = 890 cm + 66 cm
= 956 cm
New width = 2891 cm + 66 cm
= 2957 cm
The perimeter of the new mural can be calculated by adding up the lengths of all four sides,
Perimeter = 2(length + width)
⇒Perimeter = 2(956 cm + 2957 cm)
⇒Perimeter = 2(3913 cm)
⇒ Perimeter = 7826 cm
Therefore, the perimeter of Hailey's new mural will be 7826 centimeters.
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The above question is incomplete , the complete question is:
A rectangular mural measures 890 centimeters by 2891centimeters. Hailey creates a new mural that is 66 centimeters longer. What's is the perimeter of Hailey new mural?
Find the missing measure.
The missing angles in the given pair of lines AB and CD with transversals EF & GH intersecting at O & missing sides on the basis of similarity of triangles are:
∠IKF=w°=109°
JO=z=2.7 units
∠JLO=x°=39°
∠DLO=y°=141°
What is similarity?
If two forms or figures have an equal number of comparable sides and angles, they are said to be similar. Similar figures are those when two or more figures share the same shape but have varied sizes.
Given that
∠KIO=39°
∠IKO=71°
∠IOK=70°
IO=12 units
KO=8 units
LO=4 units
a)We know that ∠KIO=∠OLJ {alternate interior angles}
∠KIO=∠OLJ=39°
∴x° = 39°
b)We know that ∠OLJ+∠OLD=180° {linear pair}
x°+y°=180°
39°+y°=180°
y°=180-39
y°=141°
c)We know that ∠IKO+∠IKF=180° {angles on straight line}
71°+w°=180°
w°=180-71
w°=109°
d)In ΔOKI and ΔOJL, we can see that
∠OIK=∠OLJ=39°
∠OKI=∠OJL=71°
∠KOI=∠JOL=70°
as the angles are congruent, we can say that ΔOKI and ΔOJL are similar.
∴Sides will be in same ratio
[tex]\frac{OI}{OL}[/tex] = [tex]\frac{OK}{OJ}[/tex] = [tex]\frac{KI}{JL}[/tex]
Taking [tex]\frac{OI}{OL}[/tex] = [tex]\frac{OK}{OJ}[/tex]
[tex]\frac{12}{4} = \frac{8}{z}[/tex]
3z = 8
z =2.667
z≈2.7 units
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the value of r-squared always falls between ________ and ________, inclusive.
The value of r-squared always falls between 0 and 1, inclusive, as it represents the proportion of the variation in the dependent variable that is explained by the independent variable(s).
The value of R-squared, also known as the coefficient of determination, is a measure of the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a linear regression model.
The value of R-squared ranges from 0 to 1, with 0 indicating that the model does not explain any of the variance in the dependent variable, and 1 indicating that the model explains all of the variance in the dependent variable. Thus, the value of R-squared always falls between 0 and 1, inclusive. A higher value of R-squared indicates a better fit of the model to the data.
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The value of r-squared, also known as the coefficient of determination, always falls between 0 and 1, inclusive.
R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that is
explained by the independent variable(s).
It ranges from 0 to 1, where 0 indicates that the independent variable(s) does not explain any of the variation in the
dependent variable, and 1 indicates that the independent variable(s) explain all of the variation in the dependent
variable.
An R-squared value of 1 is therefore a perfect fit of the model to the data.
therefore, The value of R-squared always falls between 0 and 1, inclusive.
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Hey I need help with my math homework, anyone willing to help me please! I can't understand it thanks.
1. Sam bought 1/2 pound of cheese. The cheese costs $3.58 a pound. He also bought three energy bars. Each energy bars costs $1.25. What was the total cost?
2. Toothpaste costs $2.69. Dental floss costs $1.29. Soap costs $.49 a bar. Elvin bought one of each item. He has $10 and a 50 cent coupon for the toothpaste. How much does he have left?
3. Jana won $100 in a contest. She decided to spend some of the money on a new camera. She put's the rest in savings. She bought the camera for $49.00, three packs of film for $4.39 each, and a camera case for $19.89 How much did she put in savings?
4. Justin wanted to buy five notebooks for $2.89 each, a protractor for $3.25, and a mechanical pencil for $3.50 He has $20. How much more did he need.
5. Pens cost $3.75 for three. Pencils are $2.50 a dozen. Paper is $4.39 a box. Marie bought one pen, a dozen pencils, and a box of paper. What was the total cost?
I know these are many to solve, and I am new to brainly, my classmate reccomended this app. Thanks for taking the time to solve! and Im wasting all my points on this homework help so please guy's solve it asap!
Answer:
1- $5.54
2- $6.03
3- $17.94
4- $1.20
5- $8.14
Step-by-step explanation:
1. 3.58 a pound a cheese
3.58/2 =1.79 half a pound
1.25x3 =3.75
3.75+1/79= $5.54
total cost was then $5.54
2. 2.69-0.50coupon= 2.19 toothpaste
2.19+0.49+1.29= $3.97
10-3.97= $6.03
He has a total of $6.03 left
3. 4.39x3= 13.17
49+13.17+19.89= 82.06
100-82.06= 17.94
She put $17.94 in her savings
4. 2.89x5= 14.45
14.45+3.25+3.50= 21.2
21.2-20= 1.20
He needed $1.20 more
5. 3.75/3= 1.25
1.25+2.50+4.39= 8.14
The total was $8.14
1. $5.50 in total
2. $6.03 money left
3. $17.94 money put in her savings
4. $1.20 dollars needed
5. $8.14 total cost
1. $3.58 ÷ 2 = $1.75 of the cheese
$1.25 × 3 = $3.75 of energy bars
$1.75 + $3.75 = $5.50 in total
2. $2.69 - $0.50 = $2.19
$2.19 + $1.29 + $0.49 = $3.97
$10 - 3.97 = $6.03 money left
3. $4.39 × 3 = $13.17
$49.00 + $13.17 + $19.89 = $82.06
$100 - $82.06 = $17.94 money put in her savings
4. $2.89 × 5 = $14.45
$14.45 + $3.25 + $3.50 = $21.20
$21.2 - $20 = $1.20 dollars needed
5. $3.75 ÷ 3 = $1.25
$1.25 + $2.50 + $4.39 = $8.14 total cost
Hope this helps! ^-^
Which answer choice best describes the domain and range of the function for this
situation?
A.
Domain: All real numbers greater than or equal to 0 and less than or equal
to 100
Range: All real numbers greater than or equal to 0 and less than or equal
to 50
B.
Domain: (-2)
Range: (100)
Domain: All real numbers greater than or equal to 0 and less than or equal
to 50
Range: All real numbers greater than or equal to 0 and less than or equal
to 100
D.
Domain: (100)
Range:{-2)
D for balls
Step-by-step explanation:
trust the process
Which of the following are alternate interior angles
Answer:
there is no data provided to provide an answer
Which statement is true about the ordered pair (3 , 4)?
To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. So correct option is C.
Describe Ordered Pairs?In mathematics, an ordered pair is a pair of mathematical objects or values, written in a specific order. The two objects can be numbers, coordinates, points, or any other mathematical entity. An ordered pair is written in parentheses, separated by a comma. For example, (3, 5) is an ordered pair of two numbers, where 3 is the first element and 5 is the second element.
The order of the elements in an ordered pair is important, as it indicates which element represents the first coordinate or value, and which element represents the second. In many cases, ordered pairs are used to represent points in a coordinate plane, where the first element represents the x-coordinate and the second element represents the y-coordinate. For example, the ordered pair (3, 5) represents a point that is 3 units to the right on the x-axis and 5 units up on the y-axis from the origin.
To plot the ordered pair (3,4) on a coordinate plane, we need to move 3 units to the right on the x-axis and 4 units up on the y-axis from the origin (0,0). Therefore, the correct statement is:
C. To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
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The complete question is:
Which statement is true about the ordered pair (3 , 4)?
A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.
B. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.
C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
D. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.
if you flip a fair coin 10 times, what is the probability of obtaining as many heads as you did or less? 0.0107 0.9453 0.0321 0.7769
To calculate this probability, we need to use the cumulative binomial probability formula:
P(X ≤ k) = Σ(i=0 to k) (n choose i) p^i (1-p)^(n-i)
Where:
- X is the number of heads obtained
- k is the number of heads we want to calculate the probability for (in this case, the same number of heads obtained)
- n is the total number of coin flips (10 in this case)
- p is the probability of getting heads on a single flip (0.5 for a fair coin)
- (n choose i) is the binomial coefficient, which represents the number of ways to choose i heads out of n flips
For this problem, we want to calculate P(X ≤ 10), since we're interested in the probability of obtaining as many heads as we did or less. Plugging in the values, we get:
P(X ≤ 10) = Σ(i=0 to 10) (10 choose i) 0.5^i 0.5^(10-i)
= (10 choose 0) 0.5^0 0.5^10 + (10 choose 1) 0.5^1 0.5^9 + ... + (10 choose 10) 0.5^10 0.5^0
= 0.00098 + 0.00977 + 0.04395 + 0.11719 + 0.20508 + 0.24609 + 0.20508 + 0.11719 + 0.04395 + 0.00977 + 0.00098
= 0.9453
Therefore, the probability of obtaining as many heads as we did or less when flipping a fair coin 10 times is 0.9453.
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HELP VIEW PICTURE!! Thanks
The company should charge the person $240.
How to obtain the expected value of a discrete distribution?The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability.
For a 40 year old person, the distribution of the company earnings are given as follows:
P(X = -200,000) = 0.00085.P(X = x) = 1 - 0.00085 = 0.99915.For an expected value of 70, the value of x is obtained as follows:
-200000(0.00085) + 0.99915x = 70
x = (70 + 200000(0.00085))/0.99915
x = $240.
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Instructions:
Select all the correct answers.
Which equations have one solution?
A) 1/3x+3=26+6/19x-23
B) x+3+3x=-3+4x+6
C) 2(1/5+1/4x)-2x=x-1
D) 4. 3x+2. 5-2. 2x+2. 2-2. 1x=0
E) 2(4x+3)+2x=5(2x+3)
F) 2/5x+10+3/5x=2x+5
The equations have one solution are
A) 1/3x+3=26+6/19x-23
B) x+3+3x=-3+4x+6
C) 2(1/5+1/4x)-2x=x-1
D) 4. 3x+2. 5-2. 2x+2. 2-2. 1x=0
E) 2(4x+3)+2x=5(2x+3)
F) 2/5x+10+3/5x=2x+5
Let's look at each equation given and determine which ones have one solution:
A) 1/3x+3=26+6/19x-23
To solve this equation, we need to isolate the variable x on one side of the equation. After performing the necessary operations, we get x = -38. This equation has only one solution.
B) x+3+3x=-3+4x+6
Simplifying both sides of the equation, we get 2x + 3 = 3x + 3, and after further simplification, we get x = 0. This equation has only one solution.
C) 2(1/5+1/4x)-2x=x-1
Expanding and simplifying both sides of the equation, we get -19x - 10 = -10, which simplifies to 19x = 0. Therefore, x = 0. This equation has only one solution.
D) 4.3x+2.5-2.2x+2.2-2.1x=0
Simplifying both sides of the equation, we get -0.1x + 4.7 = 0, which simplifies to x = 47. This equation has only one solution.
E) 2(4x+3)+2x=5(2x+3)
Simplifying both sides of the equation, we get 14x + 6 = 13x + 15, and after further simplification, we get x = 9. This equation has only one solution.
F) 2/5x+10+3/5x=2x+5
Simplifying both sides of the equation, we get -8/5x = -5, which simplifies to x = 25/8. This equation has only one solution.
The equations that have only one solution are A, B, C, D, E, and F.
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Find the circumference of each circle with a radius of 8.6 yd. Use 3.14 for the value of Pi. Round your answer to the nearest tenth. IM IN 7TH GRADE!
The circumference of the circle is approximately 54.1 yards.
Describe circumference ?Circumference is a term used to describe the distance around the edge of a circular object. It is a measurement of the total length of the circle's perimeter. The circumference of a circle is calculated by multiplying its diameter by the mathematical constant pi (π), which is approximately equal to 3.14.
The formula for calculating circumference is C=πd or C=2πr, where C represents the circumference, d represents the diameter, and r represents the radius of the circle. The diameter is the distance across the circle, passing through its center, while the radius is the distance from the center to the edge.
Circumference is a fundamental concept in geometry and is used to solve various real-world problems, such as calculating the distance traveled by a rotating wheel or finding the length of a wire needed to make a circular ring. Additionally, many physical phenomena, such as the movement of planets and the orbits of electrons, can be described using the concept of circumference.
The circumference of a circle with a radius of 8.6 yards can be found using the formula:
C = 2πr
where r is the radius and π is the mathematical constant approximately equal to 3.14.
Substituting the given value of the radius, we get:
C = 2 × 3.14 × 8.6
C = 54.088
Rounding this to the nearest tenth, we get:
C ≈ 54.1 yards
Therefore, the circumference of the circle is approximately 54.1 yards.
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6. The speed of the last 10 pitches thrown by a pitcher: {90, 92, 85, 88, 94, 86, 93, 90, 88, 95}
Best Center:
Why?
The best center of the speed of the last 10 pitches thrown by a pitcher is the mean
Calculating the best centerFrom the question, we have the following parameters that can be used in our computation:
{90, 92, 85, 88, 94, 86, 93, 90, 88, 95}
The possible measure of centers are
MeanMedanModeIn this case, we use the mean
This is because the data values do not have any outlier present in them
Hence, the center is the mean
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Find a congruence transformation that maps triangle RST to triangle UVW
A congruence transformation that maps triangle RST to triangle UVW is a reflection along the line y = 1, followed by a translation 2 units right and down by 1 units.
A congruence transformation that maps triangle RST to triangle UVW is a rotation of 180°, followed by a translation 2 units left and down by 5 units.
What is a transformation?In Mathematics and Geometry, a transformation is the movement of a point from its initial position to a new location. This ultimately implies that, when a geometric figure or object is transformed, all of its points would also be transformed;
What is a reflection?In Mathematics and Geometry, a reflection can be defined as a type of transformation which moves every point of the geometric figure such as a triangle, by producing a flipped, but mirror image of the geometric figure.
By critically observing the geometric figures, we can reasonably infer and logically deduce that the pre-image underwent a sequence of congruence transformation to produce the image.
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how many three-digit numbers less than 700 can be made using the digits 9, 7, 5, and 3 at most once? assume digits cannot be reused.
There are 24 three-digit numbers less than 700 that can be made using the digits 9, 7, 5, and 3 at most once. They are:
395, 379, 357, 593, 597, 537, 573, 935, 937, 957, 975, 375, 735, 753, 793, 359, 539, 579, 953, 973, 357, 537, 573
Calculate the surface area of each pyramid with the following values. (P = perimeter, b = one side of the base, s=side, h=height). Number of sides is given in each problem. The first two have hints to let you know what the shape of the base is…..
1. P = 12 ft, s = 4 ft, b = 4 ft, h=2 ft, 3 sides (base is a triangle)
2. b = 4 in, P = 16 in, s = 12, 4 sides (base is a square)
3. P = 48 m, b = 12 m, s=12, 4 sides
4. P = 45 yds, b = 15 yds, s=15, h=12, 3 sides
5. b = 6 ft, P = 24 ft, s=6, 4 sides
6. P = 15 ft, b = 5 ft, s=5 ft, h= 4, 3 sides
7. b = 4 in, P = 16 in, s=11, 4 sides
8. P = 40 m, b = 10 m, s=10, 4 sides
9. P = 45 yds, b = 15 yds, s=10, h=8, 3 sides
10. b = 16 ft, P = 64 ft, s=8, 4 sides
11. b = 5 ft, P = 20 ft, s=7, 4 sides
12. P = 45 ft, b = 15 ft, s=10, h=8, 3 sides
13. b = 13 in, P = 52 in, s=11, 4 sides
14. P = 28 m, b = 7 m, s=8, 4 sides
15. P = 27 yds, b = 9 yds, s=30, h=25, 3 sides
The surface area is given below:
18.9282ft^2112 inches ^2432m^2367.425 yards^2What is a Surface Area?Surface area refers to the total area that the surface of an object occupies. It is a measure of how much-exposed area there is on the outside of the object.
The surface area of an object can be calculated by adding up the areas of all of its faces or surfaces.
The formula for surface area varies depending on the shape of the object. For example, the surface area of a rectangular prism can be calculated by adding up the areas of all six of its faces, while the surface area of a sphere can be calculated using a different formula.
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please help me…i’ll give brainliest
The cone have measures for the base, lateral, and surface areas as 77.6 mm², 330 mm², and 408.6 mm² respectively.
How to evaluate for the areas of the coneThe formula for the surface area of a cone is:
A = πr² + πrs
Where: A = surface area r = radius of the base s = slant height of the cone
Base area = 22/7 × 5 mm × 5 mm
Base area = 78.6 mm²
Lateral area = 22/7 × 5 mm × 21 mm
Lateral area = 330 mm³
Surface area = 78.6 mm + 339 mm²
Surface area = 408.6 mm²
Therefore, the cone have measures for the base, lateral, and surface areas as 77.6 mm², 330 mm², and 408.6 mm² respectively.
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Find the exact value of sin a, given that cos a=-5/9 and a is in quadrant 3
Okay, here are the steps to solve this:
1) cos a = -5/9. This means cos a is negative, so the angle a lies in the 2nd or 3rd quadrant. Since the question specifies that a is in quadrant 3, we can take a as lying in the 3rd quadrant.
2) In the 3rd quadrant, cos a is negative and sin a is positive.
3) We know: cos a = adj/hyp. Here, adj = -5 and hyp = 9. So in a right-angled triangle with hypotenuse 9, the adjacent side is 5.
4) Use the Pythagorean theorem: a^2 + b^2 = c^2. Here, 5^2 + b^2 = 9^2.
So b^2 = 64 and b = 8.
5) Now sin a = opp/adj = b/hyp = 8/9.
6) Therefore, the exact value of sin a is 8/9.
Does this make sense? Let me know if you have any other questions!
Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 1/4 pounds, and Nathan picked 3 3/4 pounds. How many pounds did they pick altogether?
8 pounds
8, 1/2, pounds
7 1/2 pounds
7 pounds
Answer:
8 pounds
Step-by-step explanation:
Simply add the fractions. Think of mixed fractions as whole numbers + fractions.
[tex]4\frac{1}{4} =\\4+\frac{1}{4} \\\\\\3\frac{3}{4} =\\3+\frac{3}{4}[/tex]
Now, add all the terms together:
[tex]4+\frac{1}{4}+3+\frac{3}{4} =\\\\ 7+\frac{4}{4}[/tex]
4/4 can be rewritten as 1, so we have:
[tex]7+\frac{4}{4} =\\\\ 7+1= \\\\8[/tex]
Thus, Sarah and Nathan picked 8 pounds of strawberries altogether.
