Answer:
56.52 units²Step-by-step explanation:
Given, Radius ( r ) = 6 units
Area of semi-circle = ?
Now, let's find the area of semi-circle:
[tex] \frac{1}{2} \pi \: {r}^{2} [/tex]
plug the values
[tex] = \frac{1}{2} \times 3.14 \times {6}^{2} [/tex]
Evaluate the power
[tex] = \frac{1}{2} \times 3.14 \times 36[/tex]
Calculate
[tex] = 56.52 \: [/tex] units²
hope this helps...
Best regards!!
Answer:
56.52
Step-by-step explanation:
6^2*3.14=113.04
113.04/2=56.52
For you, I am just going to give a small explanation but not too much
Please solve this: Also show work.... Please help me.. Will give brainly
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{6x+1}{3}+1=\frac{x-3}{6}[/tex]
To make things simple, multiply everything by the LCM of the denominator. In this case, the LCM of 3 and 6 is 6.
[tex]6(\frac{6x+1}{3}+1) =6(\frac{x-3}{6}) \\6(\frac{6x+1}{3})+6(1)=(x-3) \\ 2(6x+1)+6=x-3[/tex]
Now, simplify and solve for x:
[tex]12x+2+6=x-3\\12x+8=x-3\\11x+8=-3\\11x=-11\\x=-1[/tex]
Image attached: some sort of triangle stuff
Answer:
C
Step-by-step explanation:
On edg 2020
Monica tosses a fair 6-sided die. If the roll is a prime number, then she wins that amount of dollars (so that, for example, if she rolls 3, then she wins 3 dollars). If the roll is composite, she wins nothing. Otherwise, she loses 3 dollars. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent.
Answer:
Expected win = $15.17 to the nearest cent.
Step-by-step explanation:
Expected win = (1/6)*(1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) = 15.167 or $15.17 to the nearest cent.
The positive expected value means that Monica wins 1.17 dollars on average for each roll.
==================================================
Explanation:
The sample space is {1,2,3,4,5,6} to represent the outcomes of the die.
Of that list, {2,3,5} are prime numbers. Note that 1 is not a prime number. It's not composite either. So Monica will lose money when she rolls a 1. If she rolls {4,6} then she wins 0 dollars.
For any single roll, the probability of landing on that value is 1/6
Multiply 1/6 by each winning amount. Then add up the products
(1/6)*(-3) + (1/6)*(2) + (1/6)*(3) + (1/6)*(0) + (1/6)*(5) + (1/6)*(0)
-3/6 + 2/6 + 3/6 + 5/6
(-3+2+3+5)/6
7/6
1.17 approximately
Monica will get about 1.17 dollars per roll on average. She only loses money on average if the expected value was negative.
May I know what is the final answer ?
Answer:
( x + y )² = 32
Step-by-step explanation:
So far, I can tell that your calculations are incorrect. ( x + y )² is indeed x² + 2xy + y², which you can prove right by expanding the expression ( x + y )( x + y ). You simply swapped the positioning in this second step, and decided that the addition of x² + y² is x²y², but that is incorrect. You can't combine the two terms unless you multiply the two.
We should just be left with the expanded expression x² + y² + 2xy. Given that x² + y² = 17, and xy = 7.5, let's substitute and solve for the value of the expression.
17 + 2( 7.5 ) = 17 + 15 = 32,
( x + y )² = 32
Answer:
the other person is correct
Step-by-step explanation:
There are 5 oranges, three apples, 12 grapes, and 2 avocados in the fruit basket of Ms. Canton's refrigerator. Write a ratio of grapes compared to all of the fruit.
Answer:
6:11
Step-by-step explanation:
There are 12 grapes and 12 + 5 + 2 + 3 = 22 total fruits, so the ratio is 12:22 which simplifies to 6:11.
Step-by-step explanation:
Given:
Orange=5
Apple=3
Grape=12
Avocado=2
Formula:
Grape:Fruits
Answer:
Fruits= 5+3+12+2
Fruits=22
Grape/Avocado
12/2=6
Grape:Apple
12/3=4
Grape:Orange
12/5=2.4
Grape: All fruits
12/22=0.54
Hope it helps ;) ❤❤❤
In a word game, you choose a tile from a bag, replace it, and then choose another. If there were 8 vowels and 12 consonants, what is the probability you will choose a consonant first, then a vowel
Answer:
Fraction- 12/20 or 3/5
Percentage- 60%
Decimal-0.6
Step-by-step explanation: Add 8 and 12 together and that’s your denominator and top is 12 because those are many consonants there are. So the fraction is 12/ 20 an you can simplify it. Then you can change it into a decimal and percentage.
9. Find P(rolling 1 or 5) with one number cube.
Answer:
1/3
Step-by-step explanation:
There are 6 possible outcomes when rolling 1 die
1,2,3,4,5,6
P ( 1 or 5) = number of times 1 or 5 happens / total outcomes
= 2/ 6
= 1/3
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best dea 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?). And this one too Graph the system of equations. (Show your x/y tables) **Use a ruler or your answer will not come out correctly** or Slope- intercept simulation copy and paste And this one too What is the point of intersection on your graph? What does this mean? And this one tooo Which restaurant would you go to? Why?
Answer:
(golden corral) 11 + 1x = y. Western Sizzlin 9 +2x= y. These equations will be linear because these equations have the structure of y=mx+b, also when these equations are plotted on the graph they point upward. (I can't show a table, but I provided a pic of the graph so u can plot the points). The point of intersection is 2,13. The point of intersection means when the prices for both restaurants are equal to each other I would go to golden corral because if I have a lot of drinks it would be cheaper in the long run.
Step-by-step explanation:
Use desmos for problems like this it will save your life.
Rectangle JKLM is rotated 90° clockwise about the origin. On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1). What are the coordinates of J’? J’(–1, –4) J’(4, –1) J’(1, 4) J’(4, 1)
Answer:
(4,-1)
Step-by-step explanation:
The required coordinate of J is (1, 4). Hence the option c is correct.
Rectangle JKLM is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1).
Rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.
While rotating the rectangle about origin clock wise, the new coordinates forms of rectangle J K L M has points ( 4, 1), (1, 1), (negative 1, 1), (negative1 , 4).
Thus, the required coordinate of J is (1, 4).
Learn more about rectangles here:
https://brainly.com/question/16021628
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The fourth and fifth graders at Jackson Elementary had a competition to see who could
recycle the most newspaper in a 3-day period. Use the chart to answer the question,
The students at Lee Elementary collected 3 times as much as the students at Jackson. How
many pounds did the students at Lee recycle?
Answer: the elementary 45
Step-by-step explanation: if you need anything else let me know
What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3
:o help (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
Answer:
no
Step-by-step explanation:
the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.
Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has. A. 5 B. 6 C. 8 D. 9 E. 10
Answer:
A. 5
Step-by-step explanation:
6d+15<50
subtract 15 from both sides
6d<50-15
6d<35
divide both sides by 6
d<35/6
d<5 5/6
So he can only rent it for 5 days. If he rented for 6, it would be $51, which is too much.
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6
help!!!
the number of new cars purchased can be modeled by the equation, c=20t^2+135t+3050, where C is the number if new cars and t=0 corresponds to the number of new cars purchased in 1998. in what year will the number of new cars purchased reach 15,000
Answer:
In the year 2019 the number of new cars purchased will reach 15,000.
Step-by-step explanation:
t = 0 corresponds to the number of new cars purchased in 1998. If that is so, we can determine t ( time ) by making our quadratic equation here equal to 15,000 - considering that we want the year the number of cars reaches this value. t here is only the number of years to reach 15,000 cars, so we would have to add that value to 1998, to see the year that the cars will reach 15,000.
The " set up " should look like the following quadratic equation -
20t² + 135t + 3050 = 15,000 - Isolate 0 on one side,
20t² + 135t - 11950 = 0 - From here on let us solve using the quadratic equation formula,
[tex]t=\frac{-135+\sqrt{135^2-4\cdot \:20\left(-11950\right)}}{2\cdot \:20}:\quad \frac{-27+\sqrt{38969}}{8}[/tex],
[tex]t=\frac{-135-\sqrt{135^2-4\cdot \:20\left(-11950\right)}}{2\cdot \:20}:\quad -\frac{27+\sqrt{38969}}{8}[/tex] ... now as you can see we have two solutions, but time can't be negative, and hence our solution is the first one - about 21.3 years. 1998 + 21.3 = ( About ) The year 2019. Therefore, in the year 2019 the number of new cars purchased will reach 15,000.
Answer:
2019
Step-by-step explanation:
first you should change the statement into quadratic equation and replace c with 15000.
c=20t^2+135t+3050.
15000=20t^2+135t+3050
15000-3050=20t^2+135t
11950=20t^2+135t. then write the equation in standard quadratic form.
20t^2+135t-11950=0. after this you got 4 ways of solving the quadratic equation but I am just gone using quadratic formula:
-b+ - √b^2-4ac. a,b and C stand for the
2a. the coefficients
-135+ - √((135)^2-4(20)(-11950))
2(20)
-135+ - √(974225))
)) 40
-135 - 987 or -135+ 987
40. 40
-1122/40. or 852/40
- 28.05 or. 21.3
in this case we have to answer but time cannot be negative we take value 21.3(it is the approximate value)
so we add 21.3 to 1998 to find the year
>>21.3 + 1998 = 2019.3 but we write it as 2019 instead of 2019.3
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height Use the Pythagorean theorem to calculate the length of the diagonal of the trunk.
Answer:
The length of the diagonal of the trunk is 56.356011 inches
Step-by-step explanation:
According to the given data we have the following:
height of the trunk= 26 inches
length of the trunk= 50 inches
According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:
length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)
Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)
length of the diagonal of the trunk=√3176
length of the diagonal of the trunk=56.356011
The length of the diagonal of the trunk is 56.356011 inches
In the school election, votes were cast for Sam, Mary, and Bill in the ratio 4:3:2. If a total of 2178 votes were cast, how many votes did Mary receive?
Answer:
Step-by-step explanation:
Mary received 726 votes.
The vertex of the parabola is it 3,-2 when the xvalue is 4 the yvalue is 3 what is the coefficient of the squared term in the parabola equation
Answer:
5 = a
Step-by-step explanation:
Use the model y - k = a(x - h)^2, where (h, k) represents the vertex. Here we have:
y + 2 = a(x - 3)^2
Now substitute 4 for x and 3 for y:
3 + 2 = a(4 - 1)^2, or 5 = a
Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?The circumference of a circle is given by the formula , where d is the diameter.Because the diameter is twice the radius, .If equally sized central angles, each with a measure of , are drawn, the number of sectors that are formed will be equal to _____.The arc length of each sector is the circumference divided by the number of sectors, or .Therefore, the arc length of a sector of a circle with a central angle of is given by or ... help please
Answer:
[tex]\frac{360}{n}[/tex]
Step-by-step explanation:
Given:
The above statements
Required
Complete the above statements
Considering the third statement in the question;
First, it should be noted that a circle is a full sector that measures 360 degrees
Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;
[tex]\frac{360}{180} = 2\ sectors[/tex]
Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;
[tex]\frac{360}{90} = 4\ sectors[/tex]
Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;
[tex]\frac{360}{n}[/tex]
Hence, from the list of given options; [tex]\frac{360}{n}[/tex] fills the gap correctly
Answer:
360/n
Step-by-step explanation:
Charley sold 12 fruit baskets fir the school fund raiser. Maria sold 15 and Paul sold 18. If each fruit basket cost $18, how much money did they raise altogether
Answer:
$810 total raised
Step-by-step explanation:
Charley:
12 * $18 = $216
Maria:
15 * $18 = $270
Paul:
18 * $18 = $324
Total:
$324 + $270 + $216 = $810
Answer:
pls appreciate my efforts by markinf my answer as the brainliest......
Step-by-step explanation:
Charley raised = 12 *18 =$216
Maria raised =15*18 = $270
Paul raised = 18*18 = $ 324
total amount raised = $ 810
The interior ages of a triangle have measure
55,25", and x find the value of
these 3 problems ty
Answer:
See below in bold.
Step-by-step explanation:
1. The 3 angles in a triangle add up to 180 degrees.
So x = 180 - (55 + 25)
= 180 - 80
= 100 degrees.
2. The 4 angles in a quadrilateral add up to 360 degrees,, so
3x + 127 + 54 + 119 = 360
3x + 300 = 360
3x = 360 - 300
3x = 60
x = 20 degrees.
3. Exterior angle
= 94 + 42
= 136 degrees.
Please help and explain!! I really don't get this
A 5cm x 11cm rectangle sits inside a circle with radius of 12 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answer:
Step-by-step explanation:
area of shaded region = 3168/7 - 55 = 397.5cm^2 (app)= 0.397cm^2 ( since we have to round to nearest hundredth
Answer:
The answer is
397.40 cm²Step-by-step explanation:
To find the area of the shaded area first find the area of both the rectangle and the circle and subtract the smaller one from the larger one.
that's
For the rectangle
Area of rectangle = length × width
From the question
length = 5cm
width = 11 cm
So we have
Area of rectangle = 5cm × 11cm = 55cm²
For the circle
Area of a circle = πr²
where r is the radius
From the question
r = 12 cm
Area of circle = π (12)²
= 144π
= 452.40 cm²
Area of shaded figure
Since the area of the rectangle is smaller than that of the circle we subtract the area of the rectangle from the circle
That's
452.40 cm² - 55cm²
= 397.40 cm² to the nearest hundredth
Hope this helps you
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. A medical center observed that about 60% of its morning appointments were with elderly patients. The table shows the results of a simulation used to represent the scenario. The numbers 0 to 5 represent appointments with elderly patients, and the numbers 6 to 9 represent appointments with other patients.
Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;
[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]
[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105
[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016
[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062
[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432
Answer:
Step-by-step explpointsanation:
If your good in math pls help me I’m not that great and I’m ineed of help !
Answer:
The base is 2
Step-by-step explanation:
Exponents or powers are on top of the base.
[tex]2^x[/tex]
x is the exponent and the base is 2.
how to convert 3mm into cm
Answer:
0.3 cm
Step-by-step explanation:
1 cm = 10 mm
1) Using proportion:
1 cm ----- 10 mm
x cm ----- 3 mm
x = 1 cm * 3 mm/10 mm = 0.3 cm
2) 3 mm * 1cm/10mm = 0.3 cm
Answer:
3mm = 0.3 cm
Step-by-step explanation:
1 cm = 10 mm
3mm = 3/10 = 0.3cm
I NEED THIS ASAP, PLEASE HELP ME!!!! WILL MARK BRAINIEST IF CORRECT!!!
Write a real-world situation that includes a data set with 12 values.
Is your data set symmetric, left-skewed, or right-skewed? Explain.
Answer:
sure
Step-by-step explanation:
I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph
ASAP 25 POINTS NEED TO KNOW NOW PLEASE
Variable x is 7 more than variable y Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y?
A:x= 11
X = y + 7
B:X= y + 7
X = y - 1
C:y = x + 8
y=x-1
D:y = 7x
y = x + 1
Answer:
x = y+7
x = y -1
Step-by-step explanation:
Variable x is 7 more than variable y
is means equals
x = y+7
Variable x is also 1 less than y
x = y -1
Please help me
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(a) passes both exams.
%
Answer: 60%
Step-by-step explanation:
75% passed the math exam
80% of 75% passed both exams
0.80(0.75) = 0.60
Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each. Design component Number of options Primary color 888 Secondary color 888 Sole color 888 Lace color 555 How many different shoe combinations can Arturo create?
Answer:
2560
Step-by-step explanation:
Answer:
2,560
Step-by-step explanation:
To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.
8 x 8 x 8 x 5 = 2560
Hope this helps!! ;)
what's four to the six power times four to the seventh power
Answer:
67,108,864 or 4^13
Step-by-step explanation:
4^6*4^7=4^13 you basically just add the exponents since the base is the same.
Since these two powers have the same base of 4, you can multiply
them together by simply adding their exponents to get 4¹³.
This idea is called the product rule.
A common mistake in this problem would be to multiply
the bases together and give an answer of 16¹³.
It's important to understand however that the 4's in this problem can't
be multiplied together because they're not coefficients, they're bases.
When applying your exponent rules, your base will never change.