Answer:
[tex]\frac{1}{153}[/tex]
Step-by-step explanation:
There are a total of 7 + 9 + 2 = 18 balls in the vase, therefore, when not replacing the first ball, there would be 18 · 17 = 306 ways to pull 2 balls. There are 2 ways to choose the first black ball and then 1 way to choose the second black ball so there are 2 · 1 = 2 ways to choose 2 black balls. Therefore, the probability is 2 / 306 = [tex]\frac{1}{153}[/tex].
Which inequality is true for all real numbers? check all that apply. 1.a – b < a + b 2.ac ≥ bc 3.If a ≥ b, then a + c ≥ b + c 4.If c > d, then a– c < a – d 5.If a < b, then a < b + c
Answer:c and d
Step-by-step explanation:
Statements in the options 3 and 4 are true inequalities.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Here,
1) a - b < a + b
Here, the statement is not true.
2) ac ≥ bc
Here, the statement is not true.
3) If a ≥ b, then a + c ≥ b + c
Here, the statement is true.
4. If c > d, then a-c < a-d
Here, the statement is true.
5) If a < b, then a < b + c
Here, the statement is not true.
Therefore, options 3 and 4 are correct answers.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
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Marcus collected 5 fewer rocks than Esha
Part A
How many rocks did Marcus collect if Esha collected 22 rocks?
Answer:
Marcus has 17 rocks.
Step-by-step explanation:
Is the square root of 3,600 rational or irrational? Explain.
Answer:
Rational. the square root of 3600 is a real, rational number, 60.
Step-by-step explanation:
Answer: Rational
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is an integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
----------------------------------------------------------
Square root of 3600=60
60
It is an integer, which fits the first point
So, it is rationalHope this helps!! :)
Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a
Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b) [tex]\int\limits^a_b f({x}) \, dx[/tex]= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
Using the uniform distribution, we have that:
The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.An uniform distribution has two bounds, a and b.
In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].
The mean is:
[tex]E(X) = \frac{a + b}{2}[/tex]
Hence:
[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]
The variance is:
[tex]V(X) = \frac{(b - a)^2}{12}[/tex]
Hence
[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]
The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]
A similar problem is given at https://brainly.com/question/14767944
Evaluate 5^-4. Write your answer as a fraction in simplest form
Answer:
exact form = 1/625
decimal form = 0.0016
The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
From the question,
We are to evaluate 5^-4.
First, we will write the expression properly.
The given expression is 5⁻⁴
Now, we will write the expression as a fraction
From one of the laws of indices, we have that
[tex]a^{-x} =\frac{1}{a^{x} }[/tex]
Therefore,
[tex]5^{-4} =\frac{1}{5^{4} }[/tex]
In simplest form
[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]
Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
Learn more on simplifying expressions here: https://brainly.com/question/12985890
Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.
Answer: The infinite geometric series converges to 38.4
====================================================
Explanation:
Divide each term by its previous term
term2/term1 = 9.6/19.2 = 0.5
term3/term2 = 4.8/9.6 = 0.5
The common ratio is r = 0.5
Since -1 < r < 1 is true, this means the infinite geometric series converges.
It converges to...
S = a/(1-r)
S = 19.2/(1-0.5)
S = 38.4
Answer:
Top is right
Step-by-step explanation:
Is the open sentence8−4x=4x true or false when x = 0? A.True B.False
Answer:
b.False it equals x=1
convert to gallons 40 quarts
Answer:
10 gallons
Step-by-step explanation:
4 quarts is one gallon
so
40/4 is 10
Solve 3(x - 1) + 2 = 5x + 6, Answer is a decimal round to the hundredth (2 digits) or use / for fraction bar.
Answer:
x=-3.5
Step-by-step explanation:
3(x-1)+2=5x+6
3x-3+2=5x+6
3x-1=5x+6
3x-5x=6+1
-2x=7
[tex] - \frac{7}{2} [/tex]
x=-3.5
4.0 divided by 0.02=
Answer:
Step-by-step explanation:
please help, I've tried learning this multiple times but just can't get it down
Type an equation for the
following pattern.
What is the solution to the equation 4x = 52?
Answer:
x = 13
Step-by-step explanation:
4x = 52
x = 52/4
x = 13
Hope this helps!
What is the value of f^-1(0)?
Please help! It’ll be greatly appreciated!
Answer:
[tex]f^{-1}(0)=6[/tex]
Step-by-step explanation:
So, we have the graph y=f(x).
And we want to find:
[tex]f^{-1}(0)[/tex]
Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:
[tex]f^{-1}(0)=y[/tex]
This means that we have the point:
[tex](0,y)[/tex]
So, to find our solution, we will swap the x- and y-coordinates. This gives us:
[tex](x,0)[/tex]
So, simply need to find the x-coordinate such that y is 0.
From our graph, we can see the point (6,0). In other words:
[tex]f(6)=0[/tex]
So:
[tex]f^{-1}(0)=6[/tex]
And we're done!
Tutoring Services: Suppose that 40% of community college students never use tutoring services available at their college. Suppose we randomly select samples of community college students. For each sample we calculate the proportion who do not use tutoring. If we randomly sample 500 students at a time, what will be the mean and standard error of the sampling distribution of sample proportions
Answer: The mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.
Step-by-step explanation:
Formula : Mean of the sampling distribution of sample proportions
[tex]\mu_p= p[/tex]
Standard error of the sampling distribution of sample proportions
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]
, where p = population proportion
n= sample size
Here, p =0040
n= 500
So , Mean of the sampling distribution of sample proportions
[tex]\mu_p= 0.40[/tex]
Standard error of the sampling distribution of sample proportions
[tex]\sigma_p=\sqrt{\dfrac{0.40(1-0.40)}{500}}\\\\=\sqrt{\sdfrac{0.40\times0.60}{500}}\\\\=\sqrt{\dfrac{0.24}{500}}\\\\=\sqrt{0.00048}\\\\\approx0.0219[/tex]
Hence, mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.
Pls help!!!
Find the solution set of the inequality with the given replacement set:
20x - 4 > 24, x = {0, 1, 2, 3}
Answer:
{2,3}
Step-by-step explanation:
as when we solve we will get 7/5
that is 1.5
and x > 1.5
so answer is 2 and 3
plz mark as brainliest if it helps
If point p partitions line BA,what would be the part to whole ratio
Answer:
4 / 5
Step-by-step explanation:
From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:
Ratio = BP : PA = 4 : 1
Ratio = 4 : 1
The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5
Part to whole ratio = 4/5
What are the disadvantages of driverless cars? Check all that apply.
Answer:
2 3 and 4
Step-by-step explanation:
Answer:
They cannot tell the difference between people and other objects. They will wait for crossing pedestrians even if signaled to keep driving.Step-by-step explanation:
nobody can answer this by their own part 4
Answer:
28 days
Step-by-step explanation:
Day 1 = 3 m, day 1 end = 3 - 1 = 2 m
Day 2 end = 2 + 3 -2 = 3m
Day3 end = 3 + 3- 2 = 3 +1 = 4m
On 27th day end = 26+ 3 - 2 = 27 m
On 28th day =27 + 3 = 30 m
April has $3.65 in quarters and nickels in her car. The number of nickels is thirteen more than the numbers of quarters. How many of each type of coins does she have?
Answer:
hi
Step-by-step explanation:
Answer:
you multiple what April has
Mr.Salazar assigns the same Number of homework Question each
Answer:
ur question isnt complete... ?
Step-by-step explanation:
X- 3 = 9 workings pls
urgent answer fast"""""""
Answer:
the fifth number is 11
Step-by-step explanation:
8,11,13 and 17, x
the mean is =12 ( which means the sum of the terms divided by the numbers of terms )
to find the mean :
(8+11+13+17+x)/5 =12
5*12=49+x
60-49=x
x=11
7. Find all values of x, where
IxI=1/3
Answer:
[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Find the daily rate if the annual interest rate is 12%.
.
a. 0.0003287671
• b. 0.03287671
.
C. 0.23076923
.
d. 0.00230769
Answer:
B.) 0.03288%
Step-by-step explanation:
I hope this helps you :)
Answer:
Periodic Interest Rate (P)
(rate per compounding period)
0.03288%
Answer is B
Step-by-step explanation:
Ashley has already knit 2 centimeters of scarf, and can knit 2 centimeters each night. Write an equation that shows the relationship between the nights x and the length knit y.
Answer:
2+2x=y
Step-by-step explanation:
We start our equation with 2 since that is how much she aldredy knit then we do X*2 or 2x =y then we put the 2 so 2+2x=y
You are shopping for dinner for your family in a fast-food restaurant, but you are concerned about fat. An informative menu gives you the following information. Item Hamburger Chicken sandwich Fries Onion rings Grams of fat 24 13 30 25 How much total fat is in an order of hamburgers, chicken sandwich, orders of fries, and orders of onion rings
Answer:
Total amount of fat = 92 grams
Step-by-step explanation:
Given:
Item Amount of fat (in gram)
Hamburger 24
Chicken sandwich 13
Fries 30
Onion rings 25
Find:
Total amount of fat
Computation:
Total amount of fat = [Hamburger + Chicken sandwich + Fries + Onion rings]
Total amount of fat = [24 + 13 + 30 + 25] grams
Total amount of fat = 92 grams
X=4 y=0 z=4 x-9y/-z algebraic expression
Hope this helps!
djddc8y8fys9yv9uvsgosoyggysoyd
how many dollars will you get if you change
Answer:
Depends on what is the problem!
1
2
Read the sentence
Dancing is becoming a popular hobby.
Which statement correctly describes the verb function
in this sentence?
The word 'dancing' is a verb that functions as a
noun
The word "dancing" is a verb that functions as an
adjective
The word "becoming" is a verb that functions as a
noun
The word "becoming' is a verb that functions as an
adjective
Mark this and retum
Save and Exit
Next
Submit
Answer:
A
Step-by-step explanation:
edge