Answer:
a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .
probability distribution of outcomes
= (3/14*3/14), (3/14*4/14), (3/14*4/14), (3/14*3/14), (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14), (4/14 * 3/14 ), ( 4/14 *4/14 ), (4/14*3/14), ( 4/14 *4/14 ),
(4/14*3/14), (3/14 *3/14 ), (3/14*3/14), (3/14 *4/14 ), ( 3/14 * 4/14 )
b) 0.0459
c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )
Step-by-step explanation:
Total number of balls = 3 + 4 + 4 + 3 = 14 balls
3 Red balls = 3/14
4 blue balls = 4/14
4 green balls = 4/14
3 yellow balls = 3/14
a) Determine the sample space and probability distribution of outcomes
since ball is drawn with replacement
Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .
i.e. The sample space has 16 possible combination
probability distribution of outcomes
= (3/14*3/14), (3/14*4/14), (3/14*4/14), (3/14*3/14), (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14), (4/14 * 3/14 ), ( 4/14 *4/14 ), (4/14*3/14), ( 4/14 *4/14 ),
(4/14*3/14), (3/14 *3/14 ), (3/14*3/14), (3/14 *4/14 ), ( 3/14 * 4/14 )
b) Determine P( R and R )
P ( R and R ) = 3/14 * 3/14
= 9/196 = 0.0459
C) Determine probability of drawing two different balls
P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )
= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )
Classify the triangle
Answer:
Isosceles Triangle
Step-by-step explanation:
Triangles in which 2 sides are equal are called isosceles triangles
Answer:
1 it’s a triangle
2 it has sides and… jk
I don’t really know much especially because you didn’t give me much info but I know it’s an acute angle and it’s a polygon and it’s an isoscele triangle and… that’s all I know. But I’m sorry if I’m a waste of space but I tried my best and I hope i helped. ✌
Step-by-step explanation:
Byeeeeeee
sorry again if I didnt help…
I really tried really hard.
determine the missing angle.
The angle at the vertex of a rectangle is 90°
So, it means that,
= ? + 40 = 90
= ? = 90 - 40
= ? = 50
Answer:
50°
Step-by-step explanation:
x = ?°
x + 40° = 90°
x = 90° - 40°
x = 50°
The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:
500, 549, 569, 575, 585, 600, 630, 680, 705, 790, 845
The mean of these eleven rent prices is $638.91 ,and the standard deviation is $105.93 .
1. Determine the standard error of the sample mean.
2. Describe what the population mean µmeans in this context.
3. Determine a 95% confidence interval for µ.
4. Write a sentence interpreting what this interval means.
5. Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.
Answer:
Part 1
SE= 31.94
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes. out of 100 , 95 of the intervals will contain the true value of population mean u .
Step-by-step explanation:
Part 1
The standard error is calculated using the formula
SE = S/√n
where s is the standard deviation of the sample = $ 105.93
and n is the sample size= 11
Putting the values we get
SE= $ 105.93/ √11= 31.939
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
The z∝/2 value for 0.05 is ± 1.96
The 95 % confidence interval will be given by
x` ±z ∝/2 * s/√n
Putting the values
638.91 ± 1.96 * 31.94
638.91 ± 62.6006
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .
Or out of 100 , 95 of the intervals will contain the true value of population mean u.
Jenn can rake the yard in 4.75 hours. Kathy can do the raking job in 7 hours. How long will it both girls working together?
Answer:
4.75 hour
Step-by-step explanation:
This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
I need to know how to solve this equation
Answer:
D
Step-by-step explanation:
a
--- + 8 = 4
-2.1
a
---- =4 - 8
-2.1
a
--- = -4
-2.1
a= -4 × -2.1
a= 8,4
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
Plz help me solve this
Write a phrase for each expression.
Step-by-step explanation:
HERE
* 11x
Phrase= x times 11
Operation= times
* 8-y
Phrase= 8 minus y
Operation = minus
1- 7n
2- 4-y
3- 13 + x
4- x divided by 12
5- y times 10
6- c added to 3
write 0.824 as a fraction in the simplest form
I don’t know how to explain on why the student was incorrect
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0
Calculator
Problem
Find the area of the shape shown below.
Answer:
what shape?
you gotta give more lol
Can someone please answer this
Which triangle is both scalone and acuto?
9514 1404 393
Answer:
the answer shown is correct
Step-by-step explanation:
An acute triangle will have a largest angle that is less than 90°.
All angles and sides will have different measures in a scalene triangle.
The triangle shown in your picture is both scalene and acute.
What angle corresponds to 1/6 of a circle
What addition statement does this show? A. 5.2 + 6.4 = –11.6 B. –5.2 + 6.4 = –11.6 C. 5.2 + (–6.4) = –11.6 D. –5.2 + (–6.4) = –11.6
Answer:
A
Step-by-step explanation:
The sum or product of a non-zero rational number and an irrational number is always
rational.
irrational.
a repeating decimal.
a fraction.
Answer:
The sum or product of a non-zero rational number and an irrational number is always 1
Answer:
B
Step-by-step explanation:
URGENT!!!!
To decorate his new room, Mr. Caldwell bought some succulents for $2 each and
some mini cacti for $1 each. If he bought a total of 15 plants and spent a total of $23,
how many plants of each kind did he buy? Write and solve a system of equations. Show all work!
Answer:
Succulents=8
Cacti=7
Step-by-step explanation:
x will be how much succulents he bought and y would be how many cacti he bought.
x+y=15. Since he bought 15 plants.
2x+y=23
x=8
y=7
Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
answer in decimal
Answer:
0.5 I believe
Step-by-step explanation:
Whats the order of rotational symmetry for brainlest
Answer:
1Step-by-step explanation:
A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.
Any help to solve this one?
Answer:
Step-by-step explanation:
[tex]81^{1/2}[/tex]
[tex]3^4*{1/2}[/tex]
[tex]3^{4/2}[/tex]
[tex]3^{2}[/tex]
9
[tex]-16^{3/4}[/tex]
[tex](-2)^{4 *3/4}[/tex]
[tex](-2)^{12/4}[/tex]
[tex](-2)^{3}[/tex]
-8
What is the solution to the equation blow?
x + 6 = 24
In a class of 40 students. 12 entered a Mathematics competition, what percentage of the class is this?
Answer:
30%
Step-by-step explanation:
12 divided by 40 equals 0.30, which is 30%.
Answer:
30 %
Step-by-step explanation:
To find the percentage first find the fraction
12/40
Then decimal form
.3
Multiply by 100 to get the percent
.3 * 100
30 %
what is 1 6/9 +5 9/7
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct.
On a coordinate plane, the point (3, 0.75) is plotted.
How can he use the graph to find an equivalent ratio?
He can draw a straight line from the origin that passes through (0, 0.75).
He can draw a straight line from (3, 0.75) that passes through (6, 2).
He can draw a straight line from (3, 0.75) that passes through (6, 1).
He can draw a straight line from the origin that passes through (3, 0.75).
put it in the comments im out of answers
the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
How can he use the graph to find an equivalent ratio?He knows the relation:
3 cups of granola ⇒ 0.75 cups of raisins.
Assuming this is a proportional relation of the form:
y = k*x
Where k is a constant.
Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.
Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
If you want to learn more about proportional relationships:
https://brainly.com/question/12242745
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The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:
C = 125S + $3750
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported. C is the cost; S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
Show two different ways to divide the composite figure. Find the area both ways. Show your work (PLEASE HELP NO LINKS)
Answer:
2,799,360
Step-by-step explanation:
12x18x20x9x8x9=2,799,360
Area of complete figure in 1st way = 288 cm^2
Area of complete figure in 2nd way = 288cm^2
What is area of a rectangle ?
The area of a rectangle of length =l and breadth =b is length times its breadth . General formula of calculating area of rectangle is length * breadth
In first case we are dividing the figure horizontally
in which there occur an upper small rectangle of l = 12cm and breadth = 9 cm and a big rectangle of L 20cm and B= 9cm
area of 1st rectangle= l*b = 12 * 9 = 108 cm^2
area of 2nd rectangle = L*B = 20 * 9 = 180 cm ^ 2
area of complete figure in 1st way = area of 1st rectangle + area of 2nd rectangle
= 108 + 180 = 288 cm^2
In second case we are dividing the figure vertically
in which there occur an small rectangle of l = 8cm and breadth = 9 cm and a big rectangle of L =18cm and B= 12cm
area of 1st rectangle= l*b = 8 * 9 = 72 cm^2
area of 2nd rectangle = L*B = 18 * 12= 216 cm ^ 2
area of complete figure in 2nd way = area of 1st rectangle + area of 2nd rectangle
= 72 + 216 = 288cm^2
learn more about area of rectangle
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If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
Use the following property above to find the value. Substitute f(x) and g(x) in.
[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]
Evaluate/Combine like terms.
[tex] \large{2x + {x}^{2} - 5}[/tex]
This step is optional but it's the best to arrange the degree.
[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]
Answer
(f+g)(x) = x²+2x-5Let me know if you have any doubts!
