Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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What are the values of x, y, and z?
Answer:
x = 111 z = 76 y = 36
Step-by-step explanation:
At a meeting of musicians, 56 of the musicians play the piano but only 35 play the violin. What is the minimum number of people at the meeting who play both piano and violin?
Answer:
Hiii! the answer is 21
Step-by-step explanation:
you subtract
56-35= 21
338.08=8(0.07m+28.90+.30(28.90)
Answer:
m= - 396.253089
Step-by-step explanation:
hope this helps
I need this for math thanks
I’ll answer, but wait, do I send a picture of my work? or not? It says I have to make a table of values, so
sketch the curve with the given vector equation. indicate with an arrow the direction in which t increases. r(t)
Answer:Sketch the curve with the given vector equation. indicate with anarrow the direction in which t increases
r(t) = t2i +t4j +t6k
I have no idea how to go about drawing the vector. I knowthat
x=t2
y=t4
z=t6
and that a possible subsititution can be y=x2and z=x3
Step-by-step explanation:that is your answer
:)
Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is unknown? Choose the correct answer below. A. The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The P-value method, the traditional method, and the confidence interval method are equivalent and yield the same results. C. For a two-tailed hypothesis test with a 0.05 significance level, one must construct a 95% confidence interval. D. For a one-tailed hypothesis test with a 0.05 significance level, one must construct a 90% confidence interval.
Answer:
The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )
Step-by-step explanation:
The False statement about using the confidence interval method when testing a claim about μ when σ is unknown is ; The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results
This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.
Find angles A, B, C and D
Answer: a=101 b=79 c=83 d=97
f(g(2)) if f(x)=4x+8 and g(x)=5x
f(g(2))➡x=2➡
f(x)=4x+8
g(x)=5x
f(g(2))➡4(5x)+8➡20x+8
x=2
20(2)+8=48
I hope this helps!
A student borrows 4000 at 15% for 3 months to pay tuition find the total amount due using simple interest
Answer:
Step-by-step explanation:
\(A=p(1+rt)\\p=4000\\r=15 \%\\t=\frac{1}{3}years\\\)
∴ \(A=4000[1+(0.15\times\frac{1}{3})]\\A=4,000*0.05\\A= 4,200 (200\\)
Answer:
4,150
Step-by-step explanation:
find the area of the circle which is circumscribed about the right triangle with legs 6 and 8
The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
\(c^2 = a^2 + b^2\)
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Substituting the values:
\(c^2 = 6^2 + 8^2\)
\(c^2 = 36 + 64\\ c^2 = 100\)
Taking the square root of both sides:
\(c = \sqrt{100} \\ c = 10\)
Therefore, the length of the hypotenuse is 10 units.
Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.
Now we can calculate the area of the circle using the formula:
Area = π \(r^2\)
where r is the radius of the circle.
Area = π \(5^2\)
Area = π × 25
Area = 78.54 square units
Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
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You use a $100 gas card to pay for gas at $2 per gallon. You have y dollars left in your card after you fill x gallons of gas to your car.
Answer:
y= -2x +100
Step-by-step explanation:
the ____ of a triangle is the perpendicular segment from a vertex of a triangle to a line containing the opposite side
Solution
The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. Also, known as the height of the triangle, the altitude makes a right-angle triangle with the base.
Find the measure of the arc or angle indicated
Step-by-step explanation:
Let O be the center of the circle
We have Angle YOW = 125°
and Angle WOX = 121°.
Therefore Angle YOX = 360° - 125° - 121° = 114°.
(Sum of angles around a point is 360°)
Since Angle at Center = 2 * Angle at Circumference,
Angle YWX
= 0.5 * Angle YOX = 0.5 * 114° = 57°. (A)
Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digit can
repeat. What is the probability of choosing a random number that starts with 5 from this group? Enter a fraction or round your answer to
4 decimal places, if necessary.
Answer:
1/4 or 0.25
Step-by-step explanation:
The total possibilities of any 7 digit number using 0-9 is :
9×10×10×10×10×10×10=9000000
To work out the total possibilities in this question :
We look at the conditions :
The first digit can only be 5 numbers :
1 , 3 , 5 , 7 , 9
Now we subtract 5 from 9 :
9-5 = 4
Since no repeats for 2 , 3 , 4, 5, 6:
9 , 8 , 7 , 6 , 5,
5 possibilities for the last digit :
Total possibilities for this code :
4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400
If it begins with 5 that is only 1 possibility for the first digit
1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600
Now we make a fraction :
75600÷302400
Dividing top and bottom by 75600 gives you 1/4 or 0.25
Hope this helped and have a good day
Answer:
Step-by-step explanation:
Comment
The first digit and the last digit are both odd. That tells you that so far what you have is one of 5 digits for the first digit and and one of 4 for the last digit. 4 because you can't repeat the first digit.
5, , , , , ,4
2 digits are gone 8 remain.
5* 8 * 7* 6* 5* 4* 4 = 134400
Part 2
Only one number can go at the beginning, and that is a 5. Everything else remains the same.
1 * 8 * 7 * 6 *5 * 4 * 4 = 26880
P(picking a number beginning with a 5 is 25880 /13440) = 0.2
The heights, in feet, of 12 trees in a park are shown below.
8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47
Use the drop-down menus to explain the interquartile range of the data.
Click the arrows to choose an answer from each menu.
The interquartile range helps tell the center
median
Choose...
Y of the data around the
The interquartile range, which is 39
Y
of the heights of the trees.
feet, represents
The interquartile range of the heights is of 17, which represents the middle 50% of heights of the trees.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference between the third and the first quartile, and represents the middle 50% of the measures.For this data-set, we have that:
The first half of the data-set is 8, 11, 14, 16, 17, hence the first quartile is of 14. The second half of the data-set is 24, 27, 31, 43, 47, hence the third quartile is of 31.Then the IQR is:
IQR = 31 - 14 = 17.
The interquartile range is of 17, which represents the middle 50% of heights of the trees.
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Answer:
spread
median
14
middle 50%
The diagram shows a semi-circle inside a rectangle of length 120 m.
The semi-circle touches the rectangle at A, B and C.
Not to scale
A
C
120 m
Calculate the perimeter of the shaded region,
Give your answer correct to 3 significant figures,
(5 marks)
I
Answer:
Answer is 30 m
Step-by-step explanation:
First calculate the cricumfrance of the circle, then divide it by 4 and thats the edge of the shaded area and the radius is the other edjes im pretty sure
dont mind this question
Answer:
hello, there.
Step-by-step explanation:
General kanobi
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? A: 5n - 300 = 1,500 B: 5n + 300 = 1,500 C: 5n - 200 + 100n = 1,500 D: 5n - 100 - 200n = 1,500
Answer:
The answer should be B: 5n+300=1,500.
Step-by-step explanation:
The number of people to attend is going to vary and 300 is a set variable, so it won't change of be affected. Since the team doesn't know how many people will be able to attend in order to reach their goal, n is going to take the place for the amount of people.
If you were to solve this, the answer would be:
5n+300=1,500
5n=1,500-300
5n=1,200
n=240
So 240 people can attend the dance.
Answer:5n-300=1,500
Step-by-step explanation:
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled Net change with entries blank, + one-fourth. If you buy three of the ABC bonds with $10 commission for each, how much will it cost? a. $3142.50 b. $1047.50 c. $3172.50 d. $1077.50
Using expression (3 x Price per bond) + Commission, total cost of three ABC bonds would be $182.70.
What exactly are expressions?
In mathematics, an expression is a combination of one or more numbers, variables, and operators that can be evaluated or simplified to produce a value. Expressions can be as simple as a single number or variable, or they can be complex, involving multiple operations and functions.
Now,
The cost of three ABC bonds can be calculated as follows:
Total cost of three ABC bonds = (3 x Price per bond) + Commission
To find the price per bond, we need to use the current yield and the face value of the bond:
For bond A, current yield = 7.5, face value = 100, so price per bond = 100 x (7.5/100) = 7.50
For bond B, current yield = 8.4, face value = 100, so price per bond = 100 x (8.4/100) = 8.40
For bond C, current yield = 7.75, face value = 100, so price per bond = 100 x (7.75/100) = 7.75
So the total cost of three ABC bonds would be:
(3 x 7.50) + (3 x 8.40) + (3 x 7.75) + (3 x 10) = $104.25 + $25.20 + $23.25 + $30 = $182.70
Therefore, the correct answer is not listed.
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Jared bought a 15-pound bag of turkey for Thanksgiving. His family ate 6 ⅗ pounds of the food on the morning of Thanksgiving and 4 ⅘ for dinner. Jared decided to use ½ of the remaining turkey to make sandwiches for lunch. How much turkey, in pounds, did Jared use to make sandwiches?
Answer:
1 4/5 pounds
Step-by-step explanation:
15-6= 9
9-4=5
3/5+4/5=7/5 or 1 2/5
5-1=4
4-2/5=3 3/5
half of 3 is 1.5 or 1 5/10
3/5=6/10 half of 6/10 is 3/10
3/10+5/10= 8/10
simplify 1 8/10= 1 4/5
A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question
A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *
Answer:
y = 5x - 3
Step-by-step explanation:
The Slope of a Line
Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
We are given the points (-1,-8) and (3,12). Compute the slope:
\(\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5\)
The equation of the line now has one known value:
y = 5x + b
Let's use the point (3,12) to find the value of b:
12 = 5(3) + b = 15 + b
Solving for b:
b = 12 - 15 = -3
The required equation of the line is:
y = 5x - 3
6c.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
Now find g(3).
Answer:
7
Step-by-step explanation:
g(x)=4x-5
g(3)= 4(3)-5
=12-5
=7
Answer:
g(3)=4x-3
Step-by-step explanation:
put 3 into x
know g(3)=4x-3=4×3-1=12-1=11
11 will be the answer
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
help me plzzzzzz before 10:00 AM
Answer:
19) x=4
20) x=7
21) x=15.5
22) x= -7
23) x=9
24) x=5
25) x=-6 (Im pretty sure)
26)x=4
27)x=10
28) x=-9
Step-by-step explanation:
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Geometry question. Please help fast.
The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.
We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.
So, both the 1st and 4th points translate and reflect down the triangle A'B'C' which will be mapped according to the triangle ABC.
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Need help please guys
The subtraction of the two matrix is [31 6 12 -14 57 ]
[-19 -27 -18 18 27 ]
[ 47 14 -1 -40 9 ]
[10 12 -19 -15 -58]
[-14 -23 10 4 19]
What is the matrix subtraction?The subtraction of the two matrix is calculated as follows;
The result to 4 multiplied by D is calculated as;
4[D] = [28 -24 12 -32 -36]
[8 -36 -24 24 36]
[32 8 20 -40 -12]
[40 -12 -16 12 - 28]
[4 -8 16 -20 -8 ]
The result to 3 multiplied by B is calculated as;
3[B] = [-3 -30 -24 -18 21]
[27 -9 -6 6 9]
[-15 -6 21 0 -21]
[30 -24 3 27 30]
[18 15 6 -24 -27]
The subtraction of the two matrix is calculated as follows;
4[D] - 3[B] = [31 6 12 -14 57]
[-19 -27 -18 18 27 ]
[ 47 14 -1 -40 9 ]
[10 12 -19 -15 -58]
[-14 -23 10 4 19]
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(x+y)^2 where x= 4 and y= -3