Answer:
10.9
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]9.1^2+6^2=c^2[/tex]
[tex]82.81+36=c^2[/tex]
[tex]c^2=118.81[/tex]
[tex]c=\sqrt{118.81} =10.9[/tex]
Seventeen individuals are scheduled to take a driving test at a particular DMV office on a certain day, nine of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of al parameters)? 17 hx;6, 9, 17) O h(x; 6,? 17 bx; 6, 9,17) (x; 6, 9, 17) 17 (b) Compute P(X = 4), P(X S 4), and P(X PLX = 4) 0.2851 PX S 4)-13946X RX24) -0.1096 X 4). (Round your answers to four decimal places.) (c) Calculaethe mean value and standard deviation of X. (Round your answers to three decimal places.)
Answer:
a) h(x; 6, 9, 17).
b) P[X=2] = 0.2036
P[X ≤ 2] = 0.2466
P[X ≥ 2] = 0.9570.
c) Mean = 3.176.
Variance = 1.028.
Standard deviation = 1.014.
Step-by-step explanation:
From the given details K=6, n=9, N=-17.
We conclude that it is the hypergeometric distribution:
a) h(x; 6, 9, 17).
b)
[tex]P[X=2]=\frac{(^{g}C_{2})^{17-9}C_{6-2}}{^{17}C_{6}\textrm{}}[/tex]
P[X=2] = 0.2036
P[X ≤ 2] = P(x=0)+ P(x=1) + P(x=2)
P[X ≤ 2] = 0.2466
P[X ≥ 2] = 1-[P(x=0)+P(x=1)]
P[X ≥ 2] = 0.9570.
c)
Mean= [tex]n\frac{K}{N}[/tex]
= 3.176.
Variance = [tex]n\frac{K}{N}( \frac{N-K}{N})(\frac{N-n}{n-1} )[/tex]
= 2.824 x 0.6471 x 0.5625
= 1.028.
Standard deviation = [tex]\sqrt{1.028}[/tex] = 1.014.
Can someone please help me thank you !!!!!
i need help. i will give brainiest as soon as possible
Answer:
B
Step-by-step explanation:
Let me know if you need an explanation.
Answer:
B
Step-by-step explanation:
4x^3+x^2+5x+2
4x^3 cannot cancel with others= 4x^3
4x^2-3x^2= x^2
5x cannot cancel with others= 5x
-3+5= 2
4x^3+x^2+5x+2
Which property was used to simplify the expression 4(b+2)=4b+8
Answer: distributive property
Step-by-step explanation: the 4 is multiplied by everting in the parenthesis
Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y=2/3x - 2
Answer: The image shown in your question as well as the one I provided is the correct answer
Step-by-step explanation:
a line with a slope of 2/3 must mean that the "m" is 2/3
y = mx + b
y = 2/3x + b
The question calls for the y-intercept to be equal to that of y=2/3x - 2
using the given equation, we easily figure out -2 is the y-intercept
so the line must go through (0,-2).
Question 4 of 10
If A = (-1,-3) and B = (11,-8), what is the length of AB?
A. 12 units
B. 11 units
C. 14 units
D. 13 units
SUBMIT
Step-by-step explanation:
AB = square root of [(xA-xB)^2+(yA-yB)^2]
AB=Squarerootof(-1-11)^2 +(-3-(-8))^2=Squarerootof(-12)^2+(5)^2)
AB=Squarerootof((144)+25)= Squarerootof(169)=13 the answer is 13 units
The choice D is the right one
On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).
What is the domain of the function on the graph?
Answer:
Option D
Step-by-step explanation:
correct answer on edge :)
Answer:
D <3
Step-by-step explanation:
Which point is a solution to y equal greater than or less too
4x + 5?
Answer:
4x+ 4
Step-by-step explanation:
Help please. There’s a 4th option just couldn’t fit it in the photo
Answer:
Line A
Step-by-step explanation:
graph it
Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at random and without replacement from the box and note the two numbers observed. The sample space S consists of the three equally likely outcomes {(1, 2), (1, 3), (2, 3)} (disregarding order). Let X be the sum of the two balls selected. What is the mean of X
Step-by-step explanation:
a) X is a discrete uniform distribution. As the number of outcomes is only 3.
b) sum is at least 4
X ≥ 4--------
i.e (1,3) or (2,3)
probability of X ≥ 4 is 2/3
2/3= 0.667
66.7 % is the probability of the outcome to have a sum at least 4.
c) The 3 likely outcome of X
(1,2) where X ; 1+2=3
(1,3) where X ; 1+3=4
(2,3) where X ; 2+3=5
Mean = 3+4+5/ 3
Mean = 4
Feel free to ask any uncleared step
Hello, please help ASAP. Thank you!
Answer:
23) No
24) No
25) Yes
Step-by-step explanation:
Question 23)
We want to determine if a zero exists between 1 and 2 for the function:
[tex]f(x)=x^2-4x-5[/tex]
Find the zeros of the function. We can factor:
[tex]\displaystyle 0 = (x-5)(x+1)[/tex]
Zero Product Property:
[tex]x-5=0\text{ or } x+1=0[/tex]
Solve for each case. Hence:
[tex]\displaystyle x = 5\text{ or } x=-1[/tex]
Therefore, our zeros are at x = 5 and x = -1.
In conclusion, a zero does not exist between 1 and 2.
Question 24)
We have the function:
[tex]f(x)=2x^2-7x+3[/tex]
And we want to determine if a zero exists between 1 and 2.
Factor. We want to find two numbers that multiply to (2)(3) = 6 and that add to -7.
-6 and -1 suffice. Hence:
[tex]\displaystyle \begin{aligned} 0 & = 2x^2-7x + 3 \\ & = 2x^2 -6x -x + 3 \\ &= 2x(x-3) - (x-3) \\ &= (2x-1)(x-3) \end{aligned}[/tex]
By the Zero Product Property:
[tex]2x-1=0\text{ or } x-3=0[/tex]
Solve for each case:
[tex]\displaystyle x=\frac{1}{2} \text{ or } x=3[/tex]
Therefore, our zeros are at x = 1/2 and x = 3.
In conclusion, a zero does not exist between 1 and 2.
Question 25)
We have the function:
[tex]f(x)=3x^2-2x-5[/tex]
And we want to determine if a zero exists between -2 and 3.
Factor. Again, we want to find two numbers that multiply to 3(-5) = -15 and that add to -2.
-5 and 3 works perfectly. Hence:
[tex]\displaystyle \begin{aligned} 0&= 3x^2 -2x -5 \\ &= 3x^2 +3x - 5x -5 \\ &= 3x(x+1)-5(x+1) \\ &= (3x-5)(x+1)\end{aligned}[/tex]
By the Zero Product Property:
[tex]\displaystyle 3x-5=0\text{ or } x+1=0[/tex]
Solve for each case:
[tex]\displaystyle x = \frac{5}{3}\text{ or } x=-1[/tex]
In conclusion, there indeed exists a zero between -2 and 3.
To make a committee 4 men are chosen out of 6 candidates. What is the probability that 2 certain people will serve on that committee
Answer:
The probability that 2 certain people will serve on that committee is 11.11%.
Step-by-step explanation:
Since to make a committee 4 men are chosen out of 6 candidates, to determine what is the probability that 2 certain people will serve on that committee the following calculation must be performed:
4/6 = 2/3
1/3 x 1/3 = X
0.333 x 0.333 = X
0.1111 = X
Therefore, the probability that 2 certain people will serve on that committee is 11.11%.
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
6 groups, and 4 certain people
6
C
4
[tex]\frac{6!}{(6-2)!(2!)}[/tex]
1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2
1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2
5 × 6/ 1 × 2
30/2 = 15
15 possible combinations
4 people, and 2 specific ones
4
C
2
[tex]\frac{4!}{(4-2)!(2!)}[/tex]
1 × 2 × 3 × 4/1 × 2 × 1 × 2
1 × 2 × 3 × 4/1 × 2 × 1 × 2
12/2 = 6
[tex]\frac{6}{15}=\frac{\frac{6}{3} }{\frac{15}{3} } =\frac{2}{5}[/tex]
If the cost of a 2.5 meter cloth is $30.5. What will be the cost of 22 meters ?
Answer:
268.40
Step-by-step explanation:
We can write a ratio to solve
2.5 meters 22 meters
----------------- = --------------
30.5 dollars x dollars
Using cross products
2.5 * x = 30.5 * 22
2.5x =671
Divide each side by 2.5
2.5x / 2.5 = 671/2.5
x =268.4
A medicine bottle contains 8 grams of medicine. One dose is 400 milligrams. How many milligrams does the bottle contain?
Answer:
8×1000 milligrams
8000 milligrams
Using f(x)=2x+7 and g(x)=x-3, find f(g(-2))
[tex]i^0 +i^1+i^2+i^3+............+i^{2021} = ?[/tex]
Include work.
Answer:
1+i
Step-by-step explanation:
I do believe i to be the imaginary unit.
Let's write out some partial sums from power=0 to power=7 or whatever we need to see a pattern.
i^0=1
i^0+i^1=1+i
i^0+i^1+i^2=1+i+-1=i
i^0+i^1+i^2+i^3=i+i^3=i+-i=0
i^0+i^1+i^2+i^3+i^4=0+i^4=0+1=1
Hmmm.... we might see 1+i, then i, then 0 again.... let's see.
i^0+i^1+i^2+i^3+i^4+i^5=1+i
Coolness so we should see a pattern
Sum from power=0 to power=multiples of 4 will give us 1.
Sum from power=0 to power=remainder of 1 when final power is divided by 4 gives us 1+i.
Sum from power=0 to power=remainder of 2 when final power is divided by 4 gives us i.
Sum from power=0 to power=remainder of 3 when final power is divided by 4 gives us 1
0.
So 2021 divided by 4....
Since 2020 is a multiple of 4, then 2021 has a remainder of 1 when divided by 4.
So the answer is 1+i.
Put these lengths in order of size starting with the smallest.
54 mm
4.5 cm
0.04 m
51 mm
Answer:
0.04m, 4.5cm, 51mm, and 55mm
Step-by-step explanation:
Let's put all measurements into mm because we already have two there.
4.5cm * 10mm/cm = 45mm
0.04m * 1000mm/m = 40mm
40<45<51<55
So the order is 40mm, 45mm, 51mm, 55mm
Convert the two measurements we changes back to their regular form and:
0.04m, 4.5cm, 51mm, and 55mm
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
60, 58, 64, 64, 68, 50, 57
On the eighth day, she drinks 82 ounces of water. Select all the true statements about the effect of the eighth day's amount on Joanna's daily amount distribution.
PLZ HELP ME I NEED AN ANSWER ASAP WILL NAME BRAINLIEST
(a) Data with the eight day's measurement.
Raw data: [60,58,64,64,68,50,57,82],
Sorted data: [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean = 62.875
median = (60+64)/2 = 62
1st quartile = (57+58)/2 = 57.5
3rd quartile = (64+68)/2 = 66
IQR = 66 - 57.5 = 8.5
(b) Data without the eight day's measurement.
Raw data: [60,58,64,64,68,50,57]
Sorted data: [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean = 60.143
median = 60
1st quartile = 57
3rd quartile = 64
IQR = 64 -57 = 7
Answers:
1. The average is the same with or without the 8th day's data. FALSE
2. The median is the same with or without the 8th day's data. FALSE
3. The IQR decreases when the 8th day is included. FALSE
4. The IQR increases when the 8th day is included. TRUE
5. The median is higher when the 8th day is included. TRUE
Answer:
The Interquartile range increases when the 8th day is included.
The median is higher when the 8th day is included.
Step-by-step explanation:
i got it right. Hope this helps.
Determine the degree of the polynomial −65b+53x3y
Answer:
im pretty sure the degree is 4.
Step-by-step explanation:
Which of the following is equivalent to a real number?
A. (-46)^1/2
B. (-10596)^1/8
C. (-4099)^1/5
D. (-5403)^1/6
Answer:
C. (-4099)^1/5
Step-by-step explanation:
[tex]x^{\frac{1}{2} } = \sqrt{x}[/tex]
you can not take roots (real roots) of a negative number if the exponent is
even ... A,B,D have even exponents (in the denominator of the exponent.. in other words the index of the radical is even)...
the only odd index is in "B" (the 5 in the 1/5)
-28=7(x-7) what does x equal
Answer:
x=3
Step-by-step explanation:
7(x - 7) = -28
x - 7 = -4
x = 3
Answer:
x = 3
Step-by-step explanation:
Your goal is to isolate the x from the other numbers.
-28 = 7(x - 7)
Distribute the 7 to the (x - 7)
You will end up with:
-28 = 7x - 49
Add 49 to both sides of the equation to further isolate the x
21 = 7x
Finally, divide both sides by 7 so x is by itself
x = 3
What is the common difference between successive terms in the sequence?
0.36, 0.26, 0.16, 0.06, –0.04, –0.14,
A line has a slope of 7 and passes through the point (-2,-1) What is its equation in point-slope form?
Answer:
y + 1 = 7(x + 2).
Step-by-step explanation:
Point slope form:
y - y1 =m(x - x1).
Here m = 7 and (x1, y1) = (-2, -1)
So the answer is;
y - (-1) = 7(x - (-2))
The mode of 3 numbers is 6 and the
range is 4. Write down a possible set of
numbers.
Answer:
solution,
mode of 3 numbers is 6
range is 4
possible set of numbers are
{3,4,6,{} }
At the Fidelity Credit Union, a mean of 3.5 customers arrive hourly at the drive-through window. What is the probability that, in any hour, more than 5 customers will arrive? Round your answer to four decimal places.
Answer:
0.1423 = 14.23% probability that, in any hour, more than 5 customers will arrive.
Step-by-step explanation:
We have the mean, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A mean of 3.5 customers arrive hourly at the drive-through window.
This means that [tex]\mu = 3.5[/tex]
What is the probability that, in any hour, more than 5 customers will arrive?
This is:
[tex]P(X > 5) = 1 - P(X \leq 5)[/tex]
In which
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3.5}*3.5^{0}}{(0)!} = 0.0302[/tex]
[tex]P(X = 1) = \frac{e^{-3.5}*3.5^{1}}{(1)!} = 0.1057[/tex]
[tex]P(X = 2) = \frac{e^{-3.5}*3.5^{2}}{(2)!} = 0.1850[/tex]
[tex]P(X = 3) = \frac{e^{-3.5}*3.5^{3}}{(3)!} = 0.2158[/tex]
[tex]P(X = 4) = \frac{e^{-3.5}*3.5^{4}}{(4)!} = 0.1888[/tex]
[tex]P(X = 5) = \frac{e^{-3.5}*3.5^{5}}{(5)!} = 0.1322[/tex]
Finally
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0302 + 0.1057 + 0.1850 + 0.2158 + 0.1888 + 0.1322 = 0.8577[/tex]
[tex]P(X > 5) = 1 - P(X \leq 5) = 1 - 0.8577 = 0.1423[/tex]
0.1423 = 14.23% probability that, in any hour, more than 5 customers will arrive.
Which statement is true about the expression 12- 7 + 3?
Answer:
I don't see any statements here.
Anyway, the answer is 8.
[tex]12 - 7 + 3 = 8[/tex]
A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.
Given:
A line contains the points R(-1, 8), S(1, 4) and T(6, y).
To find:
The value of y.
Solution:
Three points are collinear if:
[tex]x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0[/tex]
A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.
[tex]-1(4-y)+1(y-8)+6(8-4)=0[/tex]
[tex]-4+y+y-8+48-24=0[/tex]
[tex]2y+12=0[/tex]
Subtract 12 from both sides.
[tex]2y=-12[/tex]
Divide both sides by 2.
[tex]y=\dfrac{-12}{2}[/tex]
[tex]y=-6[/tex]
Therefore, the value of y is -6.
Answer: The guy above me is right
Step-by-step explanation: I took the test and got it right
Jerry tosses a coin 17 times and makes one step forward with each toss. However, he makes three more steps forward if he gets heads. If he made 62 steps forward, how many heads did he get?
How many subsets of at least one element does a set of seven elements have?
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
For each subset it can either contain or not contain an element. For each element, there are 2 possibilities. Multiplying these together we get 27 or 128 subsets. For generalisation the total number of subsets of a set containing n elements is 2 to the power n.
total subsets
2^n2⁷128Help on this math question please
Answer:
3x² + x + 1
-3x² + x + 1
-54
Step-by-step explanation:
there is nothing complicated to it. you just use the requested pertain on the whole expressions of the functions, and the result is then the new function.
so,
r(x) = 3x²
s(x) = x + 1
what do you think s + r is ?
it is simply
(s+r)(x) = 3x² + x + 1
done. that is really all there is to this.
now the next (but consider the sequence due to the sign)
(s-r)(x) = x + 1 - 3x² = -3x² + x + 1
and the third
(s×r)(x) = 3x²(x+1) = 3x³ + 3x²
so, for x=-3
(s×r)(-3) = 3×(-3)³ + 3×(-3)²
remember, an even power of a negative number gives a positive result, an uneven power of a negative number gives a negative result.
(s×r)(x) = 3×-27 + 3×9 = -81 + 27 = -54