Answer:
total balls in the Machine = 7+5+4 = 16
Step-by-step explanation:
METHOD-1
Probability of First ball to be Blue = 7/(7+5+4) = 7/16
Probability of Second ball to be Green = 5/(15) = 5/15 [15 balls remaining after one being taken out in Step 1]
Probability of Third ball to be red = 4/(14) = 4/14 [14 balls remaining after Two being taken out in Step 1&2]
But this can happen in any order so the orders in which it can happen = 3!
i.e. Final Probability that machine dispenses one gumball of each color = (7/16)*(5/15)*(4/14)*3! = 1/4
Answer: Option E
METHOD-2
The total ways in which three balls can be Picked out of a total of 16 balls (with orders) = 16*15*14 = 840
The ways in which three balls of different colors can be taken out (with orders) = 7*5*4*3! = 3360
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 840 / 3360 = 1/4
Answer: Option E
METHOD-3
The total ways in which three balls can be Picked out of a total of 16 balls (without orders) = 16C3 = 560
The ways in which three balls of different colors can be taken out (with orders) = 7C1 * 5C1 *4C1 = 140
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 140 / 560 = 1/4
Answer: Option E
Debra wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 15 inches by 7 inches by 9 inches. She has 1 square yard of fabric. Can she completely cover the footrest? Explain.
Answer:
Yes, she can.
Step-by-step explanation:
We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.
The surface area of a rectangular prism is given as:
A=2(wl+hl+hw)
where w = width, l = length, h = height
The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:
A = 2[(7 * 15) + (9 * 15) + (9 * 7)]
A = 2[105 + 135 + 63]
A = 2 * 303 = 606 square inches
1 square inch = 0.000771605 square yards
=> 606 square inches = 606 * 0.000771605 = 0.468 square yards
Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.
Judy just calculated the standard deviation for a project she is working on. The value for the standard deviation is a small number. What does this represent?
The data is spread far from the mean.
The data is spread close to the mean.
The data is spread equal to the mean.
None of these choices are correct.
Answer: b) The data is spread close to the mean
Step-by-step explanation: Theoretically, when the standard deviation of a statistical data is large or high, it simply means that the values in such statistical data set are farther away from the mean, On the other hand when the standard deviation is small or low, it simply means that the values of such statistical data are close to the mean of those data on average.
Therefore Judy's low standard deviation for her project simply indicates that her statistical data set is spread close to the mean.
Which of the following are solutions to |x + 3|=4x-7 check all that apply
Answer:
3.333333
Step-by-step explanation:
4x-x=3+7
3x=10
x=3.33333
Which algebraic expression is equivalent to the expression below?
3(5x + 7) – 6(4 – 2x)
270 - 3
27r - 12
12r + 3
12. + 27
ha
Answer:
[tex] \boxed{27x - 3} [/tex]
Step-by-step explanation:
[tex] = > 3(5x + 7) - 6(4 - 2x) \\ \\ = > (3 \times 5x) + (3 \times 7) - (6 \times 4) - (6 \times ( - 2x)) \\ \\ = > 15x + 21 - 24 - ( - 12x) \\ \\ = > 15x - 3 + 12x \\ \\ = > 27x - 3[/tex]
Answer: 27x=3
Step-by-step explanation: 3(5x+7) -6(4-2x) = 3(5x+7) + (-6)(4+(-2x)) = 15x + 21 + (-24) + 12x =15x + 12x + (-24) + 21 =27x + (-3) =27x-3 hope this helps
Keisha solved the following equation:
4x − 2x + 8 = 6(x + 4)
Step Work Justification
1 2x + 8 = 6(x + 4) Combine like terms
2 2x + 8 = 6x + 24 Associative Property of Multiplication
3 −4x + 8 = 24 Subtraction Property of Equality
4 −4x = 16 Subtraction Property of Equality
5 x = −4 Division Property of Equality
Which step has an incorrect justification?
A: 1
B: 2
C:3
D: 5
Answer:
No 4 I think not to sure tho
Answer:
The Second One
Step-by-step explanation:
It's Supposed to be distributive Property because it's distributing the
6 into x and 4
it includes multiplication in this process so it might be confusing
Hope this helps
Can I have brainlist?
what is the definition for congruent arcs
Answer:
"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"
Step-by-step explanation:
Use FOIL and the distributive property to derive (a-b)^3
Answer:
(a-b)^3 = [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
Step-by-step explanation:
(a-b)^3 = (a-b)(a-b)(a-b)
According to the perfect cube formula (a-b)^3 = [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
And there you have it! The perfect cube formula already solved your equation!
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
-8/3
Step-by-step explanation:
find slope
(-1,5) ( 2,-3 )
(-3 -5)/( 2-(-1)) = -8/3
What are the coordinates of the hole in the graph of the function?
f(x)=x2−3x−10/x−5
Enter your answer in the boxes.
Answer:
Given function f(x) = x + 2
The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)
Step-by-step explanation:
Given function
[tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]
let [tex]y = f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]
The Factor [tex]x^{2} - 3 x - 10[/tex]
x ² - 5 x + 2 x - 10
x ( x -5) + 2 (x-5)
[tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5} = \frac{(x-5)(x+2)}{x-5} = x +2[/tex]
y = x +2
The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)
what is the side length of a cube with a volume of 166 yd^3
Answer: 5.5 yd
Step-by-step explanation:
To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.
166=x³
In order to get x alone, we have to cube root both sides.
x≈5.5 yd
PLEASE HELP!! WILL MARK BRAINIEST !!
Select the correct answer. If f(x)=2x^2+3x and g(x)=x-2 what is (f+g)(2)
A.)16
B.)14
C.)12
D.)10
E.)8
Answer:
(f+g)(2) = 10
Step-by-step explanation:
f(x)=2x^2+3x
g(x)=x-2
(f+g)(x) will be sum of f(x) and g(x)
(f+g)(x) = 2x^2+3x + x - 2 = 2x^2+4x - 2
we have to find (f+g)(2), for that we will put x = 2
(f+g)(x) = 2x^2+4x - 2
[tex](f+g)(2) = 2*2^2+2*2 - 2\\(f+g)(2) = 2*4+4 - 2\\(f+g)(2) = 8+4 - 2 = 10[/tex]
Thus, (f+g)(2) is 10.
If m<2 BOE = 130° and m< COB = 80º,
find the measure of the indicated arc
in circle 0.
mCBE =
Answer:
The answer is 210°.
Step-by-step explanation:
Given that ∠BOE = 130° and ∠COB is 80°. So in order to find ∠CBE, you have to add up together :
∠CBE = ∠BOE + ∠COB
∠CBE = 130° + 80°
∠CBE = 210°
(Correct me if I am wrong)
please see the attached picture...
Hope it helps...
Good luck on your assignment...
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
Find S20 of the series whose first terms are:
30, 22, 14, 6, ...
Answer:
- 920
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = 22- 30 = 14 - 22 = 6 - 14 = - 8
This indicates the sequence is arithmetic with sum to n terms given by
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 30 and d = - 8 , thus
[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × 30) + (19 × - 8) ]
= 10(60 - 152)
= 10 × - 92
= - 920
1. Find the volume of the cylinder
height: 8m
radius: 3 m
with the explanation if possible <3
Answer:
226.19
Step-by-step explanation:
V=π•r^2•h
V=π•3^2•8
v=72π
V=226.19
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 543
Answer:
Step-by-step explanation:
I use 84+ CE
stat edit, then fill in the #s
then
vars 5
then
2'nd stat plot, on
then, click stat
Click arrow 1 time to the left to get to Calc
then click (4)(LinReg(ax+b))
then click enter 5 times
(y=-25.31428571x+1000.285714
y=-25.3x+1000.3
now, lets use computer:
y=-25.31(543)+1000.3
y=-12743.03
round to the biggest whole number )
this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing
now I get
y=-25.31428571x+51603.54286
y=-25.3x+51603.5
now, lets use computer:
y=-25.3(543)+51603.5
y=37865.6
round to the biggest whole number:
y=37866
so, year 37866
Using the line of best-fit, it is found that:
The linear regression model is [tex]y = -25.31x + 1000[/tex]The estimate is that the number of cases would reach 543 in the year of 2026.---------------------
The line of best-fit is given by:
[tex]y = bx + a[/tex]
The slope is:[tex]b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}[/tex]
After the slope is found, using the means for x and y, the coefficient a is found.---------------------
The means are given by:
[tex]\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5[/tex]
[tex]\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937[/tex]
---------------------
The sums are:
[tex]\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)[/tex]
[tex]\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)[/tex]
Using a calculator:
[tex]\sum (x - \overline{x})(y - \overline{y}) = -443[/tex]
[tex]\sum (x - \overline{x})^2 = 17.5[/tex]
Thus, the slope is:
[tex]b = -\frac{443}{17.5} = -25.31[/tex]
And
[tex]y = -25.31x + a[/tex]
---------------------
Using the means to find a:
[tex]y = -25.31x + a[/tex]
[tex]937 = -25.31(2.5) + a[/tex]
[tex]a = 1000[/tex]
Thus, the linear regression model is:
[tex]y = -25.31x + 1000[/tex]
---------------------
The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:
[tex]y = -25.31x + 1000[/tex]
[tex]543 = -25.31x + 1000[/tex]
[tex]25.31x = 1000 - 543[/tex]
[tex]x = \frac{1000 - 543}{25.31}[/tex]
[tex]x = 18.1[/tex]
2008 + 18 = 2026
The estimate is that the number of cases would reach 543 in the year of 2026.
A similar problem is given at https://brainly.com/question/21826199
Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?
A) 1.00
B) 0.55
C) 0.10
D) 0.45
Answer:
B) 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Step-by-step explanation:
Explanation:-
Given Event A and Event B are mutually exclusive.
Given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A
P( A⁻ ) = 1 - P( A)
= 1 - 0.45
= 0.55
Final answer:-
The probability of the complement of Event A = 0.55
The probability of the complement of Event A is equal to 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Given Event A and Event B are mutually exclusive.
We have given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A.
What is the formula for the compliment of the event?P( A⁻ ) = 1 - P( A)
Use the given value in the above formula we have,
= 1 - 0.45
= 0.55
The probability of the complement of Event A is equal to 0.55.
To learn more about the probability visit:
https://brainly.com/question/24756209
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I need the answer for this: 7y+4/y+2=4/3
Answer:
Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?
3x+4+3=40 i need help very fast
Answer:
x = 11
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
3x11 = 33
4+3 = 7
33 + 7 = 40
The probability of an event is 1. What do you know about the event?
The probability of another event is 0.
What do you know about this event?
Answer: A probability of 1 means the event is certain to happen. A probably of zero means the event is certain not to happen.
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed points
which best explains whether a triangle with side lengths 5cm 13cm and 12 cm is a right triangle
Answer: the awnser is 0 jk its not
Step-by-step explanation:
i just want point repete dkmkmkrfnjrjnnfrfr
Answer:
Yes, it can make a right triangle.
Step-by-step explanation:
We can use the Pythagorean Theorem to determine if the sides make a right triangle.
[tex]a^2+b^2=c^2[/tex]
We are given the side lengths: 5cm, 13cm, and 12 cm.
13cm is the longest, so it would be 'c'.
5cm and 12cm will be 'a' and 'b'.
Let 5 be 'a', 12 be 'b', and 13 be 'c':
[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]
5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.
Find the measurement which is most accurate to 45.76 kg.
A. 45.77 kg
B. 45.78 kg
C. 45.79 kg
D. 45.81 kg
Answer:
A. 45.77 kg
Step-by-step explanation:
The measurement with the smallest difference from 45.76 is 45.77 kg.
Please Answer ASAP! will give 5 star and brainliest
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6
Answer:
Step-by-step explanation:
Use the possibility diagram to calculate the probability that the product of the two numbers is
A prime number
Sample Space: 64
Prime Number:8
Probability: 8/64 = 1/8
Not a perfect square
Sample Space:64
Not a perfect square:56
Probability: 56/64 = 7/8
A multiple of 5
Sample Space:64
A multiple of 5: 16
Probability: 16/64 = 1/4
Less than or equal to 21
Sample Space:64
Less than or equal to 21:24
Probability: 24/64 = 6/16 = 3/8
Divisible by 4 or 6
Sample Space:64
Divisible by 4 or 6:32
Probability: 32/64 = 1/2
A school records the number of pupils that were late each month
Answer:
Colin is wrong
Explanation given below..
Hope it helps!
Step-by-step explanation:
No he's is not correct because the number of pages in January was 30 while the number of pages in March was 20. 20 is not half of 30 and hence it can be concluded that Colin is wrong. For the statement to be correct the number of lates in march should be 30/2 that is equal to 15.
A baker needs a total of cups of flour to make four batches of cookies. How much flour, in cups, does she need for each batch of cookies? Write and solve an equation to find the answer.
Answer:
She needs cups of flour for each batch of cookies.
Step-by-step explanation:
Step-by-step explanation:
A baker needs a total cups of flour to make four batches of cookies.
We have to calculate how much flour she needs for each batch of cookies.
Let the flour needed for one batch be f, so the expression would be
f × 4 =
First we convert mixed fraction to proper fraction.
f × 4 =
f =
= × =
Now we convert this proper fraction to mixed fraction.
=
She needs cups of flour for each batch of cookies.
Answer:
she needs 3 1/3 of a cup
Step-by-step explanation:
I have finished the test
EDGE 2021
why is x^2-8x+20 always positive?
Answer:
cause it is
Step-by-step explanation:
it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?
I will mark you brainliest!!! Select the answer that includes the correct explanation.
Answer:
Linear. The choice A is correct.
Step-by-step explanation:
How is the product of 4 and 2 shown using integer tiles? 4 positive tiles and 2 positive tiles. 4 negative tiles and 2 negative tiles. 4 sets of 2 positive tiles. 4 sets of 2 negative tiles. Plz i need help
Answer: 4 sets of 2 positive tiles.
Step-by-step explanation:
We have the product of 4 and 2.
We can represent this as:
4 is equivalent to 4 positive tiles.
if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.
Another example is using 2 positive tiles to represent the 2.
So when we multiply it by 4, we end with 4 sets of 2 positive tiles.
This is because the order of the factors does not change the product.
Then, from the given options, the correct one is:
4 sets of 2 positive tiles.
Answer:
C on edge 2021
Explanation:
4 groups of 2
[+] [+] [+] [+] [+] [+] [+] [+]
Which question should you expect to be answered with variable data?
How many seventh graders are at school today?
How tall is the Empire State Building?
What is the age of my science teacher?
In what months were my family members born?
Answer:
The correct answer is the last one.
Step-by-step explanation:
Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.
The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).
The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.
Hope this helps!
the answer is D.
here is proof
What is the value of x in the equation −6 + x = −1? (5 points)
a
−5
b
−7
c
7
d
5
Answer:
5
Step-by-step explanation:
Add 6 to both sides. The answer is 5.
Answer:
5
Step-by-step explanation
since we are looking for the value of x,we have to make it the subject of the formula(stand alone).
Therefore,-6 would cross over the equality sign and it would become =6.
NOTE:when a negative number crosses the equality sign,it becomes a positive number.
This implies that x= -1+6
NOTE:when you come across - + +(minus plus plus),u would have to minus.
and to know the sign that would be at the front of the answer,just take a look at the sign the bigger number holds.At this point it is plus.
Therefore,x= -1 +6
x=5(u could have stated it was +5 but it isnt necessary since there is an invisible plus sign at the front of a number as long as minus is not there
