Answer:
21
Step-by-step explanation:
his mean is already 21
but if he has to score then 21
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).
Answer:
22ft^2
Step-by-step explanation:
I am not sure if this is the correct answer since there were no numbers to the question you wrote out.
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.
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:
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.
write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind only 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step
Answer:
The speed of plane = 40 m/s
The speed of the wind = 300 m/s
Step-by-step explanation:
Let the speed of the plane = Y
And the speed of the wind = X
If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,
X + Y = 340 ..... ( 1 )
Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,
X - Y = 260 ..... ( 2 )
Solve the two equations simultaneously by addition. That will eliminate Y
X + Y = 340
X - Y = 260
2X = 600
X = 600/2
X = 300 m/s
Substitutes X in equation (1)
300 + Y = 340
Make Y the subject of formula by collecting the like terms
Y = 340 - 300
Y = 40 m/s
Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.
The monthly salary of a salesman of a departmental store is Rs 12,500 and an additional payment of 0.5 % on the total monthly sale is provided as commission.
i) Calculate his total income in a month if he makes a total sale of Rs 7,20,000 in that month.
ii) What should be his total sale in the next month so that he can receive a total income of Rs 20,000 in the month?
Answer:
i. [tex]Total\ Income = Rs\ 16,100[/tex]
ii. [tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
Step-by-step explanation:
Given
[tex]Salary = Rs\ 12,500[/tex]
Commission = 0.5% of Monthly Sales
Calculating his total income is total sales is Rs 720,000
[tex]Total\ Income = Salary + Commission[/tex]
Substitute (0.5% of Monthly Sales) for Commission
[tex]Total\ Income = Salary + (0.5\%\ of\ Monthly\ Sales)[/tex]
Substitute Rs 720,000 for Monthly Sales and Rs 12,500 for Salary
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ of\ Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ * Rs\ 720,000[/tex]
Convert % to decimal
[tex]Total\ Income = Rs\ 12,500 + 0.005\ * Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + Rs\ 3,600[/tex]
[tex]Total\ Income = Rs\ 16,100[/tex]
Calculating his total sales if total income = Rs 20,000
Recall that;
[tex]Total\ Income = Salary + Commission[/tex]
Substitute Rs 20,000 for Total Income; Rs 12,500 for Salary and (0.5% of Monthly Sales) for Commission
[tex]Rs\ 20,000 = Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
Subtract Rs 12,500 from both sides
[tex]Rs\ 20,000 - Rs\ 12,500 = Rs\ 12,500 - Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ *\ Monthly\ Sales[/tex]
Divide both sides by 0.5%
[tex]\frac{Rs\ 7,500}{0.5\%} = \frac{0.5\%\ *\ Monthly\ Sales}{0.5\%}[/tex]
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
Convert % to decimal
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
[tex]\frac{Rs\ 7,500}{0.005} = Monthly\ Sales[/tex]
[tex]Rs\ 1,500,000 = Monthly\ Sales[/tex]
[tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
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:
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
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.
Point D is on segment BC, Segment BC measures Bx
units in length
What is the length of segment BC?
units
Answer:
144 units
Step-by-step explanation:
3x + 8 + 4x + 10 = 8x
7x + 18 = 8x
8x - 7x = 18
x = 18
8x is length of BC
8 × 18 is length of BC
144 units
Answer:
What is the length of segment BC?
144 units
explanation:
<3
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
Does anyone know this need help please!!!!!!! Hurry thanks
Answer:
Add the two equations: 5y=5 so y=1, therefore x=3-2y=1.
What did you mean by Dx? If it's the determinant for x then it's:
| 3 2 |
| 2 3 | = 9-4=5
Dy is:
| 1 3 |
| -1 2 | = 2-(-3)=5
And D is:
| 1 2 |
| -1 3 | = 3-(-2)=5
x=Dx/D=5/5=1 and y=Dy/D=5/5=1
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST
THNXX :)
In circle Y, what is m∠1? 6° 25° 31° 37°
Answer:
option c (31)
Step-by-step explanation:
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + __ x = __
Answer:
x² + -6x = -13
Step-by-step explanation:
8x² - 48x = -104
x² - 6x = -13
The quadratic equation can be written as x² + (- 6x) = - 13
Quadratic equations are algebraic expressions which the highest value of x in its second degree. It is usually expressed in the form: ax² + bx + c
From the given information, the objective is to simplify the quadratic equation in terms of ax² + bx + c
∴
ax² + bx = cGiven that:
8x² - 48x = -104We need to divide through by (8)
[tex]\mathbf{\dfrac{8x^2}{8} - \dfrac{48x}{8} = -\dfrac{104}{8}}[/tex]x² + (- 6x) = - 13Learn more about quadratic equations here:
https://brainly.com/question/1214333
which statements are true for the function g(x)=x^2 and h(x)=-x^2? check all tht apply
Answer:
where are the statements...
mention the statements first
What is the difference between a Rate and a Ratio? Explain *
Answer:
Step-by-step explanation:
A ratio is a comparison of two numbers. A ratio can be written using a colon, 8:12 , or as a fraction 8/12 . A rate is a comparison of two quantities which can have different units. For example 8 miles per 4 hours is a rate.
3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle?
Answer:
the smallest possible perimeter is 6
Step-by-step explanation:
since the smallest possible prime number is 2 it would make since if each side is 2 which makes the smallest perimeter possible. i really hope this helped :)
Answer:
6
Step-by-step explanation:
the smallest possible number will be 2.
2 inches/centimeters of each 3 sides of the triangle
phillp asked 100 students they favourite crisps out of ready salted, cheese and onion, and salt and vinegar. 35 students are boys 12 of these boys liked cheese and onion the best 9 girls liked ready salted the best 25 out of 41 students woh liked salt and vinger the best were girls work out the total number of students who liked ready salted the best.
Answer:16 students liked ready salted
Step-by-step explanation:
35 students = boys
65 students = girls
Boys:
12/35 like cheese and onion
16/35 like salt and vinegar
7/35 like ready salted
Girls:
9/65 like ready salted
25/65 like salt and vinegar
31/65 like cheese and onion
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
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]
Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays 12% interest how much did he invest in each account if he earned a total of $600 in an interest in one year
Answer:
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the investment = $ 8,000
Interest rate of the first account= 6% simple
Interest rate of the second account= 12% simple
Interest of the accounts in a year = $ 600
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
8,000 - x = Amount invested in the second account
0.06x + 0.12 * (8,000 - x) = 600
0.06x + 960 - 0.12x = 600
-0.06x = 600 - 960 (Subtracting 960 at both sides)
-0.06x = -360
x = -360/-0.06
x = 6,000 ⇒ 8,000 - x = 2,000
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
PLEASE HELP The number of bagels sold daily for two bakeries is shown in the table: Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. 1 Mean for both bakeries because the data is symmetric 2Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric 3 Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric 4 Median for both bakeries because the data is not symmetric
Answer:
4
Step-by-step explanation:
its unclear what the standard for "symmetric" is though both data points have large and small numbers ranging from the 10-40+ thus, the data range is large and the mean will not accurately represent the data well. Thus median would be best
oops i did something wrong last question cuz it accidentally showed my email
Answer:
A, D and E
Step-by-step explanation:
Option B is an inequality while Option C is an Equation. However, Rest of the options are expressions because they don't have any equality (=) sign or any inequality (<,>,≥,≤). So, they are expressions.
Question 8 Multiple Choice Worth 1 points)
(03.08 MC)
Two different plants that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the height of the
f(x) plant exceed that of the g(x) plant?
Month (x) f(x) = 3* g(x) = 5x + 12
1
3
17
2.
9
22
O Month 3
O Month 4
O Month 5
O Month 6
Answer:
Option B.
Step-by-step explanation:
Note: The function f(x) is not in correct format it must be [tex]f(x)=3^x[/tex].
It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).
Let as consider the two functions,
[tex]f(x)=3^x[/tex]
[tex]g(x)=5x+12[/tex]
Now, table of values is
Month(x) [tex]f(x)=3^x[/tex] [tex]g(x)=5x+12[/tex]
1 3 17
2 9 22
3 27 27
4 81 32
From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).
In month 3, heights are equal.
In month 4, height of the f(x) plant exceed that of the g(x) plant.
Therefore, the correct option is B.
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!! ;)
Let P(A)=35 and P(B|A)=89. What is the probability of events A and B occurring?
I'm assuming you meant to say P(A) = 3/5 and P(B|A) = 8/9.
If so, then we multiply the probabilities to get P(A and B)
P(A and B) = P(A)*P(B|A)
P(A and B) = (3/5)*(8/9)
P(A and B) = (3*8)/(5*9)
P(A and B) = 8/(5*3)
P(A and B) = 8/15
Answer: 8/15Please help and explain!! I really don't get this
(will mark brainliest if correct)
Answer:
A = 27π
P =
Step-by-step explanation:
Well if it follows the same proportions as a square then the dotted line is 6 cm.
Triangle
So the area of a triangle is b*h / 2
b = 6
h = 6
6*6 = 36
36 / 2 = 18
A = 18cm^2
So to find the missing side or c we do 6^2 + 6^2 = c^2,
36 + 36 = c^2
72 = c^2
≅8
6 + 6 + 8
= 20cm
Half circle
Now the area of a semicircle is,
pi r^2 / 2
So if the diameter is 6 then the radius is 3.
So we do 3*3 = 9
9 * pi = 9π^2
Perimeter: 6π
____________________________________________________________
Thus,
the area is 27π and the perimeter 26π.
Hope this helps :)