Answer:
JAR WITH MARBLES.
There's
5 Blue Marbles
3 Red Marbles
2 Yellow Marbles
Pr = No of desired outcome/No of Possible Outcomes
No of Possible Outcomes = 10.
1. Pr(yellow) = 2/10 = 1/5.
2. Pr(Red) = 3/10
3. Pr(Blue) = 5/10 = 1/2
4. Pr(Yellow and Red) = 2/10 x 3/10 = 6/100 = 3/50.
5.Pr(Blue and Red)= 5/10 x 3/10 = 15/100 = 3/20.
6.Pr( Yellow and Blue) = 2/10 x 5/10 = 10/100 = 1/10.
THE CHIPS ARE PLACED IN A JAR AND MIXED.
No of Possible Outcomes = 8.
The Numbers are 1,2,3,4,5,6,7,8.
There's
4 Even Numbers
4 Odd Numbers
1. Pr(Even) = 4/8 = 1/2
2. Pr(Odd) = 4/8 = 1/2
3. Pr(Chip with Biggest No) = 1/8.
Reason. There can only be one Number which Is the biggest amongst all. So the Probability of picking it is 1.
4.Pr(Smallest Number) = 1/8 (Same concept).
5.Pr(Prime Number)
The prime Numbers above are 2,3,5,7
Pr(Prime) = 4/8 = 1/2.
Hope this helps!.
The humidity is currently 56% and falling at a rate of 4 percentage points per hour. (a) Estimate the change in humidity over the next 20 minutes. (Round your answer to one decimal place.) -1.4 Incorrect: Your answer is incorrect. percentage points
Answer:
The change is of -1.3 percentage points.
Step-by-step explanation:
The humidity is currently 56% and falling at a rate of 4 percentage points per hour.
This means that after n hours the humidity is of:
[tex]H(n) = 56 - 4n[/tex]
Estimate the change in humidity over the next 20 minutes.
It currently is 56%.
20 minutes is 20/60 = 1/3 of an hours, so:
[tex]H(\frac{1}{3}) = 56 - 4\frac{1}{3} = 54.7[/tex]
Change:
54.7 - 56 = -1.3
The change is of -1.3 percentage points.
The change in humidity over the next 20 minutes falling at a rate of 4 percentage points per hour is -1.3.
The humidity is currently 56% and falling at a rate of 4 percentage points per hour.
What is the formula used to determine the change in humidity?The change is determined by the small about of humidity changes x to x+h, so the output of x+h is the value of f at x plus the approximate change in f, that is
[tex]\rm f(x+h) =f(x) + f'(x) \times h[/tex]
f(x)= 56%
20 minutes is 20/60 = 1/3 of an hours
So, The change in humidity is
[tex]f'(x) = 4 \times 1/3[/tex]
f'(x) = 1.3
Here, it is falling at the rate of 4% point per hour so we will take it as negative as -1.3.
Learn more about changes in humidity;
https://brainly.com/question/14363655
g(x) = -8x + 2, find
a. g(x+4)
b. g(x) + g(-2)
Answer:
g(x+4)= -8(x+4)+2
=-8x-32+2=-8x-30
g(x)+g(-2)=-8x+2+(-8(-2)+2)
=-8x+2+(16+2)
=-8x+20
a.=-8x-30
b.=-8x+20
Alex purchased
1/2
of a gallon of milk. He put
2/11
of the milk in a smoothie. How much of a gallon of milk did Alex put in his smoothie?
Answer:
1/11 of a gallon
Step-by-step explanation:
He used 2/11 of 1/2 gallon
2/11 * 1/2 = 1/11 of a gallon
Answer:
[tex]\frac{1}{11}[/tex]
Step-by-step explanation:
Step 1: Find how much of a gallon he used
[tex]\frac{2}{11} * \frac{1}{2} =\frac{2}{22}[/tex]
[tex]\frac{2}{22}=\frac{1}{11}[/tex]
Answer: [tex]\frac{1}{11}[/tex]
Hey guys so I need help with my math homework what is 4/5 to 1/6 one third away from
Answer:
0.16
Step-by-step explanation:
PLEASE ANSWER
For a parabola where p > 0, the curve will open
Options
To the left
Up
Down
To the right
Answer:
‼️D) To the right‼️
Explanation
There is an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.
is y=x^2 a proportional relationship?
is y=2+x a proportional relationship?
is y=2/x a proportional relationship?
is y=2x a proportional relationship?
Answer:
is y=x^2 a proportional relationship?
[tex]{ \sf{yes. \: constant \: of \: proportionality = 1}}[/tex]
is y=2+x a proportional relationship?
[tex]{ \sf{no. \: unless \: y \: is \: proportinal \: to \: (2 + x)}}[/tex]
is y=2/x a proportional relationship?
[tex]{ \sf{yes. \: where \: proportianality \: constant \: is \: 2}}[/tex]
is y=2x a proportional relationship?
[tex]{ \sf{yeah. \: constant \: is \: 2}}[/tex]
Geometry please help me!In the figure below, what value of x will satisfy the midsegment theorea? X=
Answer:
x=30.5
Step-by-step explanation:
Using midsegment 's theorea:
[tex]2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\[/tex]
Helppp!!!!!
Please!!!
{ is question #1 is right?? }
{ i need help with question #2 please }
Please!!
Helppp!!!!!
Answer:
fyi b's answer has imaginary numbers in it...
Imaginary: 1 +[tex]\frac{\sqrt{2i} }{2 }[/tex]
Imaginary: 1 - [tex]\frac{\sqrt{2i} }{2 }[/tex]
Step-by-step explanation:
[tex]2x^{2} - 4x -3 = 0[/tex]
[tex]\sqrt{-4^{2} -4(2)(3)}[/tex] = [tex]\sqrt{-8}[/tex] ... the negative root will produce imaginary solutions
9514 1404 393
Answer:
1a. -4, 3/4
1b. 1-0.71i, 1+0.71i
Step-by-step explanation:
The directions tell you to use the quadratic formula. Factoring may get you the solution somewhat more easily, but does not comply with the directions.
The quadratic formula tells you ...
[tex]\text{The solution to }ax^2+bx+c=0\text{ is given by }\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
__
1a. a=4, b=13, c=-12
[tex]x=\dfrac{-13\pm\sqrt{13^2-4(4)(-12)}}{2(4)}=\dfrac{-13\pm\sqrt{361}}{8}=\dfrac{-13\pm19}{8}\\\\x=\left\{-4,\dfrac{3}{4}\right\}[/tex]
__
1b. After adding 3 to both sides, a=2, b=-4, c=3
[tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(2)(3)}}{2(2)}=\dfrac{4\pm\sqrt{-8}}{4}=1\pm\dfrac{\sqrt{2}}{2}i\\\\x=\left\{1-\dfrac{\sqrt{2}}{2}i,1+\dfrac{\sqrt{2}}{2}i\right\}\approx\{1-0.71i,1+0.71i\}[/tex]
If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields
consecutive terms of a geometric sequence. What are the first three terms in the
geometric sequence?
Answer:
The first three terms in the geometric sequence are 18, 24, 32.
Step-by-step explanation:
A number when added to [tex]x,y,z[/tex] that yields consecutive terms of a geometric sequence is an unknown number [tex]t\in \mathbb{Z}[/tex]
Given
[tex]x = 1, y = 7, z = 15[/tex]
We know
[tex]\alpha _1 = 1+t[/tex]
[tex]\alpha _2 = 7+t[/tex]
[tex]\alpha _3 = 15+t[/tex]
Recall that a geometric sequence is in the form
[tex]\boxed{a_n = a_1 \cdot r^{n-1}}[/tex]
Therefore, once [tex]\alpha_1, \alpha_2, \alpha_1[/tex] are consecutive terms,
[tex]15+t = (1+t) r^{3-1} \implies 15+t = (1+t) r^2[/tex]
To find the ratio, for
[tex]\dots a_{k-1}, a_k, a_{k+1} \dots[/tex]
we know
[tex]\dfrac{a_k}{a_{k-1}} =\dfrac{a_k}{a_{k-1}} =r[/tex]
Therefore,
[tex]\dfrac{(7+t)}{(1+t)} =\dfrac{(15+t)}{(7+t)} \implies (7+t)^2 = (15+t)(1+t)[/tex]
[tex]\implies 49+14t+t^2=15+16t+t^2 \implies -2t=-34 \implies t=17[/tex]
The ratio is therefore
[tex]r=\dfrac{4}{3}[/tex]
Therefore, the first three terms in the geometric sequence are 18, 24, 32.
PLS HELP I DONT KNOW THIS ONE
Answer:
x+3
---------------
(x-3)(x-2)(x-4)
Step-by-step explanation:
x+4 x^2 -16
---------------÷ -------------
x^2 - 5x+6 x+3
Copy dot flip
x+4 x+3
--------------- * -------------
x^2 - 5x+6 x^2 -16
Factor
x+4 x+3
--------------- * -------------
(x-3)(x-2) (x-4)(x+4)
Cancel like terms
1 x+3
--------------- * -------------
(x-3)(x-2) (x-4)1
x+3
--------------- x cannot equal 3,2,4 -4
(x-3)(x-2)(x-4)
Determine whether each of the following is a proposition. If so, write its negation. You may use symbols to help organize your thinking, but each negation should be given in plain English. a. All dogs go to heaven. b. Do you have a Nintendo Switch or a PlayStation 5
Answer:
a). Not a proposition
b). Proposition
Step-by-step explanation:
A statement or a proposition is defined as a statement which is known to be true or it is known to be false. But a proposition cannot be both false and true.
If the sentence is not known to be true or false then the sentence is not considered to be a proposition or a statement.
a). All dogs go to heaven.
We do not have any idea that whether all dogs go to heaven or not. Since we do not know whether the sentence is true or false, hence it is not a proposition or a statement.
b). Do you have a Nintendo Switch or a PlayStation 5
In this sentence, I can have either a Nintendo Switch or a PlayStation 5. So the sentence can be either true or false. Since we know the sentence is can be either true or can be false, thus it is a proposition.
2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π
Answer:
x = π/4.
Step-by-step explanation:
3sin(2x) = 2sin(2x) + 1
3sin(2x) - 2sin(2x) = 1
1sin(2x) = 1
sin(2x) = 1
When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].
2x = π/2
x = π/4.
Hope this helps!
Which of the following functions has order 2 rotational symmetry about the same origin?
The answer is "Option B", and the further explanation can be defined as follows:
A rectangle is symmetrical in 2 ways. In particular, it has two-order rotational symmetry (RS2).If an object rotates 360 degrees, it's an ordering of symmetrical is the number of times it appears to be the same.There are three levels of matching: Order 2 if only two times, Order 3 if three matches are made, and so forth.The wrong choice can be defined as follows:
In option a and c, both are wrong because it has no rotational symmetry.In option d, it is wrong because it downs the diagram on the negative (x,y) axis.Therefore, "Option B" is correct and its diagram is defined in the attached file.
Learn more:
2 rotational symmetry: brainly.com/question/1531736
the x coordinates of the point 2y-x=10 intersect the line yaxis
Answer:
Point has co-ordinates, (0, 5)
Step-by-step explanation:
If they cut y-axis, then x = 0
[tex]2y - x = 10 \\ 2y - 0 = 10 \\ 2y = 10 \\ y = 5[/tex]
Evaluate the expression when a= 2 and c= -7. C-4a answer
Answer:
-15
Step-by-step explanation:
Let a = 2 and c = -7.
[tex]c-4a\\(-7)-4(2)\\-7-8\\-15[/tex]
we know that the value of a is 2 and c is -7
Expression-
c-4a
= (-7)-4×2
= (-7)-8
= -15
~Does the graph represent a function?
Answer:
Yes, the graph is a function.
Vertical line test proves so.
(x - 7)2 = x2 - 49
O True
O False
Answer:
False
Step-by-step explanation:
A computer system uses passwords that are exactly six characters and each character is one of the 26 letters (a–z) or 10 integers (0–9). Suppose that 10,000 users of the system have unique passwords. A hacker randomly selects (with replace- ment) one billion passwords from the potential set, and a match to a user’s password is called a hit. (a) What is the distribution of the number of hits? (b) What is the probability of no hits? (c) What are the mean and variance of the number of hits?
Answer:
The number of hits would follow a binomial distribution with [tex]n =10,\!000[/tex] and [tex]p \approx 4.59 \times 10^{-6}[/tex].
The probability of finding [tex]0[/tex] hits is approximately [tex]0.955[/tex] (or equivalently, approximately [tex]95.5\%[/tex].)
The mean of the number of hits is approximately [tex]0.0459[/tex]. The variance of the number of hits is approximately [tex]0.0459\![/tex] (not the same number as the mean.)
Step-by-step explanation:
There are [tex](26 + 10)^{6} \approx 2.18 \times 10^{9}[/tex] possible passwords in this set. (Approximately two billion possible passwords.)
Each one of the [tex]10^{9}[/tex] randomly-selected passwords would have an approximately [tex]\displaystyle \frac{10,\!000}{2.18 \times 10^{9}}[/tex] chance of matching one of the users' password.
Denote that probability as [tex]p[/tex]:
[tex]p := \displaystyle \frac{10,\!000}{2.18 \times 10^{9}} \approx 4.59 \times 10^{-6}[/tex].
For any one of the [tex]10^{9}[/tex] randomly-selected passwords, let [tex]1[/tex] denote a hit and [tex]0[/tex] denote no hits. Using that notation, whether a selected password hits would follow a bernoulli distribution with [tex]p \approx 4.59 \times 10^{-6}[/tex] as the likelihood of success.
Sum these [tex]0[/tex]'s and [tex]1[/tex]'s over the set of the [tex]10^{9}[/tex] randomly-selected passwords, and the result would represent the total number of hits.
Assume that these [tex]10^{9}[/tex] randomly-selected passwords are sampled independently with repetition. Whether each selected password hits would be independent from one another.
Hence, the total number of hits would follow a binomial distribution with [tex]n = 10^{9}[/tex] trials (a billion trials) and [tex]p \approx 4.59 \times 10^{-6}[/tex] as the chance of success on any given trial.
The probability of getting no hit would be:
[tex](1 - p)^{n} \approx 7 \times 10^{-1996} \approx 0[/tex].
(Since [tex](1 - p)[/tex] is between [tex]0[/tex] and [tex]1[/tex], the value of [tex](1 - p)^{n}[/tex] would approach [tex]0\![/tex] as the value of [tex]n[/tex] approaches infinity.)
The mean of this binomial distribution would be:[tex]n\cdot p \approx (10^{9}) \times (4.59 \times 10^{-6}) \approx 0.0459[/tex].
The variance of this binomial distribution would be:
[tex]\begin{aligned}& n \cdot p \cdot (1 - p)\\ & \approx(10^{9}) \times (4.59 \times 10^{-6}) \times (1- 4.59 \times 10^{-6})\\ &\approx 4.59 \times 10^{-6}\end{aligned}[/tex].
A population of deer in Florida grows according to a logistic model, with r = 0.17 and K = 10,000. At what population size is the per capita population growth rate the highest? Group of answer choices N = 1000 N = 5000 N = 8000 N = 10000
Answer:
N = 1000
Step-by-step explanation:
The population growth of species per capita of any geographical can be computed by using the formula:
[tex]\dfrac{dN}{dT}=rN (1 - \dfrac{N}{K})[/tex]
here;
N = population chance
T = time taken
K = carrying capacity
r = the constant exponential growth rate
From the given equation, we can posit that the value of r will be the greatest at the time the value of dN is highest:
As such, when the population chance = 1000
[tex]\dfrac{dN}{dT}=0.17 * 1000 (1 - \dfrac{1000}{10000})[/tex]
[tex]\dfrac{dN}{dT}=0.17 * 1000 (0.9)[/tex]
[tex]\dfrac{dN}{dT}= 153[/tex]
At N = 5000;
[tex]\dfrac{dN}{dT}= 85[/tex]
At N= 8000;
[tex]\dfrac{dN}{dT}= 34[/tex]
At N = 10000
[tex]\dfrac{dN}{dT}= 0[/tex]
A circle has a radius of 7ft. Find the radian measure of the central angle θ that intercepts an arc of length 6ft.
Answer:
49.09°
Step-by-step explanation:
c = circumference = 2×π×r
= 2× 22/7 ×7 = 44 ft
θ = 6/c × 360°
= 6/44 × 360° = 49.09°
rope price of length 45cm 25 cm and 81 cm have to be cut into same size pieces what is the smallest price length possible
= 2025
When you are told to find the smallest length possible, you perform L.C.M(Least common multiples)
For this, you divide the given lengths using the numbers that divides all through.
I have added an image to this answer. Go through it for more explanation
Using only the digits 5, 6, 7, 8, how many different three digit numbers can beformed
Answer:
totally 16 numbers can be formed
It is hard and the condition of repeat of number should be clear if you have formula ( it is obvious to have) you can use that.
X>70
y<45
What is the smallest whole number value of x - y?
Answer:
27
Step-by-step explanation:
x-y
We are subtracting and we want the smallest number
We want the smallest number for x and the largest number for y
The smallest number for x is 71
The largest number for y is 44
71-44
27
The table above shows some values of the functions f
and g. What is the value of f(g(1)) ?
A) 2
B) 3
C) 4
D) 5
Answer:
a
Step-by-step explanation:
g(1)=5
f(g(1))=f(5)
f(5)=2
Bridgette bought 1 pack of white T-shirts and 5 packs of blue T-shirts for her basketball team. The white T-shirts come in packs of 2, and the blue T-shirts come in packs of 6. How many T-shirts did Bridgette buy in all?
Work Shown:
1 pack of white = 2 shirts = A
1 pack of blue = 6 shirts
5 packs of blue = 5*6 = 30 shirts = B
A+B = 2 white shirts + 30 blue shirts = 32 shirts total
Answer:
32 T-shirts in total
Step-by-step explanation:
1 white has 2
1 blue has 6
1*2=2 white T
5*6=30 blue T
30+2=32
51: Y = 3: 5 value of Y
Answer:Y=25:3
Step-by-step explanation:
Answer:
51 : 85 = 3 : 5Step-by-step explanation:
51 : Y = 3 : 551 ÷ 17 = 3•To find the Y we should multiply 5 by 17 5 × 17 = 8551 : 85 = 3 : 5•Checking51 ÷ 17 = 3 ; 85 ÷ 17 = 5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Write the equation of the line that contains the point (2,1) and is parallel to the line 4x−2y=3
Answer:
y=2x-3
Step-by-step explanation:
4x-2y=3
-2y=3-4x
2y=4x-3
y=4x/2-3/2
y=2x-1.5 m1=2 (the number near x)
If the searched line is parallel to the line 4x−2y=3, m1=m2= 2
y=m2x+b - the searched line
1=2*2+b
b=-3
y=2x-3
Bryce drinks 3/4 pint of milk every day. How many pints of milk does Bryce in 7 days?
he drinks 5 1/4 pints of milk in 7 days
Step-by-step explanation:
3/4 × 7
=21/4
=5 1/4
Which is the same length as 4 kilometers?
Answer:
A. 4000 meters because
1 km = 1000 meters
and 4 km = 1000 × 4 = 4000
............
what is 5.5 feet in centimeters?
Answer:
167.64 cm
Step-by-step explanation:
I dont kno how to work it out