The given figure with the 10 sides have the 5 lines of symmetry.
Explain about the lines of symmetry?A line that splits a form exactly in half is known as a line of symmetry. This indicates that both half of the object would perfectly match if you folded it along the line.
Similarly, the shape would not alter if a mirror were positioned along the line. As demonstrated below, a square has four lines of symmetry.
Take your face, for instance. The left and right sides of our faces are equally symmetrical whether we draw a line through the middle of our faces. In this, symmetry is defined. A figure is considered to have line symmetry if there is a line that splits it into two identical parts.In the given figure;
Draw line from each point of the figure.
This, will make 5 points from where line of symmetry can be drawn.
Thus, the given figure with the 10 sides have the 5 lines of symmetry.
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Answer:
5
Step-by-step explanation:
Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose that you study a simple random sample of 80 professional basketball games and find that 52 of them are won by the home team. Assuming that there is no home court advantage and that the home team therefore wins 50% of its games in the long run, determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Answer:
0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
The home team therefore wins 50% of its games
This means that \(p = 0.5\)
Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Sample of 80 means that \(n = 80\) and, by the Central Limit Theorem:
\(\mu = p = 0.65\)
\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{80}} = 0.0559\)
This probability is 1 subtracted by the pvalue of Z when X = 0.65. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.65 - 0.5}{0.0559}\)
\(Z = 2.68\)
\(Z = 2.68\) has a pvalue of 0.9963
1 - 0.9963 = 0.0037
0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Can someone explain the washer method in calculus and help me solve this problem?
Answer:
Step-by-step explanation:
lim (cosec 2x - xcosec³x)
x approaches 0
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
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A student’s course grades and their corresponding weights are given in the table.
What is the minimum grade needed on the final exam to earn an overall grade of 85% in the class?
The minimum grade needed to have overall grade of 85% in the class is 90%
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is represented by by the symbol %.
Percentage can also be said as per 100
For example if there are total of 100 students in a class and their are 40 girls, the percentage of girls in the class is
40/100 × 100
= 40%
For the student to have a overall grade of 85%, the minimum grade in exam is calculated as
(100+70+80+x)/4 = 85
250+x = 340
x = 340 - 250
x = 90%
Therefore the minimum graded needed is 90%
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THE RAFFLE QUEEN
1000 raffle tickets are sold for $3.00 each.
There is one grand prize for $750 and two
consolation prizes of $200 each. What is the
expected value of one ticket?
ST
co
W
Answer:
$1.15
Step-by-step explanation:
750 + 400 = 1,150
1/1000 * 1,150 = 1,150/1000 = $1.15 expected value of one ticket.
Since he paid more than $1.15 for the ticket he has a bad bet.
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
What is 2,443,802,280 rounded to the nearest ten million
Answer:2,440,000,000
Step-by-step explanation:
HELP!! I WILL give Brainly!! LINKS WILL BE REPORTED. THANK YOU!!
Answer:
E
Step-by-step explanation:
We can see that the graph is shifted up 3 units
to do this you need to add 3 to the equaton
it's E
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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please help me with this :D
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Which line represents a linear equation with a slope of 4 and a y-intercept of -3?
A. Line A
B. Line B
C. Line C
D. Line D
Please solve !!
Answer:
Line D.
1. These linear equations will be in the form y=mx+b. y is the y coordinate, m is the slope (rise/run), x is the x coordinate, and b is the y-intercept. The y intercept is where the y point is when x=0.
2. Plug in the slope and y-intercept of y=mx+b. If you put 0 for x, you'll be left with y=-3. This means that the only lines that can be the linear equation are either a,b, or d.
3. There's two ways to tell which line it is, one is algebraically, and one is visually. You can tell which line has a slope of 4/1, or you can plug in x coordinates to plot other points, creating the line.
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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Which step is not necessary when solving this system of equations by graphing?
Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.
Not necessary when solving this system of equations by graphing is
to determine the shaded area for each line. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.
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✎ READ AND ANSWER EACH PROBLEM
PLSS ANSWER IT THE QUESTION IS IN THE PICTURE ⬆︎⬆︎⬆︎⬆︎⬆︎
Answer:
2. 40
3. 10,500
4. 240
Step-by-step explanation:
The formula for volume is Length * Width * Height.
2. 5*2*4 = 40
3. 35*15*20= 10,500
4. 6*4*10=240
Please help!!
Using the linear equation: y-5= -2(x-6)
What is the slope of this line?_______
Convert the equation into Slope Intercept form. y =_______
What is the y-intercept of the equation? (0,____)
Answer:
I made it to this and I don't know what to do for the rest sorry.
Step-by-step explanation:
y-5=-2(x-6)
+5 +5
y=3(x-6)
y=3x-18
Blake thought of an even number and an odd number (both greater than 1), multiplied the two numbers together, added 6, divided by 5, and subtracted 3 to give an answer of 1. What was the odd number he started with?
Let the even and odd numbers be x and y respectively.
\(\begin{gathered} \text{From the question,} \\ x>1 \\ y>1 \end{gathered}\)Multiply the two numbers together gives
\(xy\)Added 6
\(xy+6\)Divided by 5
\(\frac{xy+6}{5}\)Subtracted 3 to give an answer 1
\(\frac{xy+6}{5}-3\text{ = 1}\)We solve for xy
\(\begin{gathered} \frac{xy+6}{5}=4 \\ xy+6=20 \\ xy=14 \end{gathered}\)The product of the even and odd number xy is 14.
In order to differentiate the even from the odd, we find the factors of 14
The possible factors of 14 are :
1 and 14 OR 2 and 7
From the factors, the odd number(y) can either be 1 or 7 but we were told that y>1.
Therefore, the odd number (y) we started with is 7
Find the value of x.
For Christmas you want to get your parents a framed family picture. At the framing store, there are 4 different styles each available in 5 different colors. You decide to use a blue mat board and there are 3 different shades of blue to choose from. How many different frames can you create?
The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,
Calculate the total number of frames, we can create as shown below,
The number of frames = different styles available for blue color × shades of blue
The number of frames = 4 × 3
The number of frames = 12
Thus, the number of frames you can create is 12.
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2 cm on a map is equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Answer:
12km in real life.
Step-by-step explanation:
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Solve for x.
5/25=9/(x+4)
Answer: x = 41
For x in the equation
5/25=9/(x+4)
5(x+4) =9(25)
5x + 20 = 225
5x = 205
x = 41
Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41
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In a village
The number of houses and the number of flats are in the ratio 9:5
The number of flats and the number of bungalows are in the ratio 10:3
There are 30 bungalows in the village.
How many houses are there in the village?
Note: please make sure your final answer clear by writing ... houses
The number of houses are 180, and the number of flats are 100.
It is given that the number of houses and the number of flats ratio is 9:5 the number of flats and the number of bungalows ratio is 10:3.
It is required to find the number of houses in the village if the number of bungalows is 30.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The ratio of the number of houses and the number of flats:
= 9:5 and
The ratio of the number of flats and the number of bungalows :
=10:3
It means we can write the ratio of the number of houses and the number of flats = 18:10
And the ratio of the number of:
Houses : Flats : Bungalows = 18:10:3
But the number of bungalows are 30.
Then the ratios are:
180:100:30
Thus, the number of houses are 180, and the number of flats are 100.
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What is the y intercept of the function f (x) = -2/9x + 1/3 ?? Please help ! :0 :)
y intercept of the function f (x) = -2/9x + 1/3
is
\( \frac{1}{3} \)
OPTION C
5) Add using Place-Value diagrams: 215 six + 43 six
As I understand, we want to perform the given sum by adding the correspondent place values.
Using this method, we will see that the value of the sum is 258.
First, we define the place values as the value that each "position" has, where the reference is the decimal point.
The first place at the left of the decimal points is the units digit.
The second is the tens digit, and so on.
With this, we can rewrite te twi given numbers as:
215 = 2*100 + 1*10 + 5*143 = 4*10 + 3*1Then the sum can be done as:
215 + 43
(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)
2*100 + (1 + 4)*10 + (5 + 3)*1
2*100 + 5*10 + 8*1 = 258
Then we have:
215 + 43 = 258
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Plsss help me with this math question!!!
Answer:
Option c.
Step-by-step explanation:
Volume = length * breadth *height
According to the question,
(3/2 * 1/2 * 2)ft^3
= 3/2ft^3
Hope this helped :)
6. Use common denominators for these fractions. Arrange them from smallest to largest.
Given the fractions:
\(\frac{9}{16},\frac{3}{8},\frac{1}{4},\frac{5}{8}\)We will arrange them from the smallest to the greatest using the common denominators
So, the common denominator for the fractions will be = 16
\(\begin{gathered} \frac{9}{16}=\frac{9}{16} \\ \\ \frac{3}{8}=\frac{2\cdot3}{2\cdot8}=\frac{6}{16} \\ \\ \frac{1}{4}=\frac{4\cdot1}{4\cdot4}=\frac{4}{16} \\ \\ \frac{5}{8}=\frac{2\cdot5}{2\cdot8}=\frac{10}{16} \end{gathered}\)So, the answer will be the arrange will be:
\(\begin{gathered} \frac{4}{16},\frac{6}{16},\frac{9}{16},\frac{10}{16} \\ \\ \frac{1}{4},\frac{3}{8},\frac{9}{16},\frac{5}{8} \end{gathered}\)
Is (1, -7) a solution of y=x-8?
Νο
Yes
hi die cry why guy shy fiy
Answer:
Yes
Step-by-step explanation:
You just plug in the values. \(-7 = 1-8\). You plug in 1 for x, and -7 for y
HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
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Is this correct? , if not can u help me
Answer:
Step-by-step explanation:
Yes that is absolutely correct according to me answer A
Answer: Yes, you are correct.
Step-by-step explanation:
A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40 years. The blood pressure readings were given to the nearest whole number. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 139 mm Hg inclusive?
Explanation
For the blood pressure reading between 110 and 139 mm Hg inclusive
we will have
Thus, we will have (0.35 + 0.25 +0.15) x 100% = 75%
Thus, Approximately 75% of the people aged 25-40 had a systolic blood pressure reading between 110 and 139 mm Hg inclusive