Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
Evaluate p(18,3) probability
Answer:
what?
Step-by-step explanation:
Numbers A set of 25 two digit numbers are listed below.
10 17 20 23 24 28 32 39 42 45 46 52 55
58 61 65 66 72 75 78 79 85 94 97 98
Choose one of these numbers at random. Find the probability of the following results.
The sum of the number's digits is odd??
Answer:
14/25
Step-by-step explanation:
The probability that the sum of the number digits is odd is 13/ 25.
What is probability?Probability is the possibility of the outcome of any random event.
We have,
Set A = 10, 17, 20, 23, 24, 28, 32, 39, 42, 45, 46, 52, 55, 58, 61, 65, 66, 72, 75, 78, 79, 85, 94, 97, 98
We have to see the number whose sum is odd.
10 = 1 + 0 = 1 (odd)
17 = 1 + 7 = 8 (even)
20 = 2 + 0 = 2 (even)
23 = 2 + 3 = 5 (odd)
24 = 2 + 4 = 6 (even)
28 = 2 + 8 = 10 (even)
32 = 3 + 2 = 5 (odd)
39 = 3 + 9 = 12 (even)
42 = 4 + 2 = 6 (even)
45 = 4 + 5 = 9 (odd)
46 = 4 + 6 = 10 (even)
52 = 5 + 2 = 7 (odd)
55 = 5 + 5 = 10 (even)
58 = 5 + 8 = 13 (odd)
61 = 6 + 1 = 7 (odd)
65 = 6 + 5 = 11 ( odd)
66 = 6 + 6 = 12 (even)
72 = 7 + 2 = 9 (odd)
75 = 7 + 5 = 12 (even)
78 = 7 + 8 = 15 (odd)
79 = 7 + 9 = 16 (even)
85 = 8 + 5 = 13 (odd)
94 = 9 + 4 = 13 (odd)
97 = 9 + 7 = 16 (even)
98 = 9 + 8 = 17 (odd)
We see that there are 13 numbers whose sum is odd.
The probability that the sum of the number digits is odd:
= 13 / 25
Thus the probability that the sum of the number digits is odd is 13/ 25.
Learn more about probability here:
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PLEASE HELP ITS URGENT
WRITE A SHORT STORY WITH A SYMBOL THAT IS A CENTRAL PLOT A CONFLICT AND A CONCLUSION MAKE SURE THE STORY HAS CHARACTERS, DIALOGUE AND SETTING
BE CREATIVE AND EXPLORE YOUR IMAGINATION MUST BE 3 PARAGRAPHS
Answer:
I don't believe this is a mathematics related question....
Step-by-step explanation:
Don't have someone write this for you though, this sounds like a fun assignment. If you need help with the terms
Central plot = what is happening. Is a king trying to fight off a dragon? A penguin trying to learn to hunt?
Conflict = what goes wrong to make the goal harder.
Conclusion = How it ends.
Characters = People or creatures in the story.
Dialogue = What people are saying.
Setting = When and where the story takes place.
B. 9.526 to the nearest tenth
C. 19.826 to the nearest whole number
what is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
you can convert all of these to fractions over a 100 to compare them. 6 percent is 6/100, 1/2 is 50/100, .6 is 60/100, and 6/5 is 125/100
The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the rectangle?
Answer:
2 units
Step-by-step explanation:
It's because the only whole number factor pair to 10 is 2x5 and luckily, it turned out that 5-3=2, so there are no decimals or fractions.
What percent is 45 of 72?
Answer:
32.4
32.4 is 45% of 72
Step-by-step explanation:
Solution:
What is 45% of 72?
Y is 45% of 72
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 45% * 72
Converting percent to decimal:
p = 45%/100 = 0.45
Y = 0.45 * 72
Y = 32.4
A game is packaged in a box. Each game cube has a side length of 2 inches.
How many games can be packed inside of a box whose dimensions are 1 foot by 1 foot by 2 feet?
3456 games
8 games
432 games
8 cubic inches
Answer:
432
Step-by-step explanation:
6 games x 6 games x 12 games = 432 games
Question 6
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Match the name of the sampling method descriptions given.
Situations
pulling 50 names from a hat
MI divide the population by age and select 5 people from each age
Vask all the students in your math class
Mi call every 15th phone number on every 5th page of the phone book
Sampling Method
a. Stratified
b. Systematic
c. Simple Random
d. Convenience
Answer:
C.
Step-by-step explanation
shes pulling RANDOM names. key word random, hope this helped
Kyler made 6 out of 8 free throws in his basketball game. What percentge of his free throws did he make?
Answer:
75 percent.
Step-by-step explanation:
your answer is 75 percent, because 8 divided by 6 is 0.75, and it ends up to be 75 percent.. hope this helped!
What is the value of X.
Answer:
x=5.25 or x=5 1/4
Step-by-step explanation:
These two angles are the same because they are vertical angles. We can write an equation to express this.
x+16=4x-5
Then solve.
x+16=4x-5
-x -x
16=4x-5
+5 +5
4x=21
x=5.25 or 5 1/4
Explain the attributes that make a rhombus different from a rectangle
Explain the attributes that make a square different from a rhombus
Answer:
Angles and sides are the main differences! In a rectangle, all angles will be 90 degrees. In a rhombus, opposite angles will always be congruent. And, all sides in a rhombus are congruent, while in a rectangle, opposite sides are congruent
Step-by-step explanation:
here
Which of the following'illustrates the truth value of the given conditional statement?
p: 10 > 7
q. 10 > 5
~p→q
Step-by-step explanation:
?I'm not sure what you are trying to say
please help PLEASE help
Answer:
14:1
Step-by-step explanation:
To find out how many kids go in each group, do 406 divided by 29, which gives you 14, therefore 14 students will go to each teacher, or 14:1
Answer: J 14 students over 1 teacher.
Step-by-step explanation:
divide 406 by 14 and you’ll get 29
Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make the greatest number of bags that have all three cookie flavors and the same number of each flavor per bag. How many bags can he make without having any cookies left over? How many vanilla cookies will be in each bag?
Answer:
48 bags max if all 3 flavors must be in the bag. One flavor each in the bag.
I don't understand the other questions since the number of cookies per is not given nor the flavor mix
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
By creating some crops that resist certain insects
Step-by-step explanation:
Answer:
Aww man i wasn't the earliest
Step-by-step explanation:
By creating some crops that resist certain insects
A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89. Quantitative Question 2a If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore
Answer:
Its associated z-score is -1.16.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.
This means that [tex]\mu = 12.01, \sigma = 0.89[/tex].
If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore
This is Z when X = 10.98. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10.98 - 12.01}{0.89}[/tex]
[tex]Z = -1.16[/tex]
Its associated z-score is -1.16.
during one year, a family made 4 trips to the water park. the distance from their house to the water park is 39 miles. how many miles did the family drive in 4 trips
Answer:
156 Miles in 4 trips.
Step-by-step explanation: 39*4=156
Answer:
156 Miles
Step-by-step explanation:
If they drove 4 trips and each trip is 39 miles you would multiply 4x39
Order the numbers from least to greatest -23, -10, -9, -7, -6, -4 ,-3, -2, -1 ,0, 1 ,2 ,3 ,5 ,8, 10, 11, 15, 22, 23
isn't it already in order
Answer:
-23, -10, -9, -7, -6, -4, -3, -2, -1, 0, 1, 2, 3, 5, 8, 10, 11, 15, 22, 23
Step-by-step explanation:
literally the question itself is the answer.
Need help on math question 20 points and brainlest
Answer:
Im pretty sure the answer is 3.75
Im im wrong im sorry
Answer:
3.75 cm
Step-by-step explanation:
find the area of a triangle with a base and height of 1/3 and 1/4
Answer: 1/12
Step-by-step explanation:
Multiply 1/3 by 1/4. Or just multiply 3 by 4.
3 x 4 = 12
Therefore, the answer is 1/12.
What is 33/88 in simplest form?
Answer:
3/8
divide both by 11
you get 3/8
The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.
Answer:
9.60 ; - 60.96
Step-by-step explanation:
Given the function :
F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.
x = 0
F(0)=6(0+1)/25 = 6/25 = 0.24
x = 1
F(1)=6(1+1)/25 = 12/25 = 0.48
x = 2
F(2)=6(2+1)/25 = 18/25 = 0.72
x = 3
F(2)=6(3+1)/25 = 24/25 = 0.96
x = 4
F(2)=6(4+1)/25 = 30/25 = 1.2
X ______0 _____ 1 ______ 2 ______ 3 ____ 4
P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2
Mean, μ = Σx*p(x) :
(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)
= 9.60
Variance : Σx²*p(x) - μ²
(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2
= 31.2 - 92.16
= - 60.96
Helpppp need it fast plz
Answer:
B
Step-by-step explanation:
4 is a lot less than the others
yez
A rectangle with an area of 47m² is dilated by a factor of 7. What is the area of the dilated rectangle? Enter your answer in the box. Do not leave your answer as a fraction.
?m²
Answer:
28m^2
Step-by-step explanation:
Answer:
28 square meters is correct for all future users.
Step-by-step explanation:
A CD costs $13.50 before tax. What is the total cost after a 8% sales tax is added?
Answer:
$14.58
13.50+1.08= $14.58
HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE GUYS I BEG YOU BRAINLIST AND 40 POINTS
ONE IMAGE AND ONE QUESTION
FIND X
84?Step-by-step explanation:
The Career Placement department at a university wants to administer a survey to determine student awareness of the resources offered. The department expects that student awareness of the Career Placement resources will vary significantly depending on how many years a student has attended the university, so they plan to randomly select 30 freshmen, 30 sophomore, 30 juniors, and 30 seniors. This type of sample can be best described as a: *
Answer:
This type of sample can be best described as a stratified sample
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
The students are divided into groups, according to how many years they have attended the university. Then, from each group, some(30) students are surveyed. This is an example of Statrified Sampling
As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?
B) if the SAT test is in 12 weeks who will score the highest?
Please show all work !!
Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
The solution are, a) 7 weeks
b) George's
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
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1. Circle the figure you would use to make the Escher‐like tessellation given,
Answer:
C.
Step-by-step explanation:
Answer:
I got C.
Step-by-step explanation:
(It's on my math paper)