Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.
Answer:
Diana's score is better.
Step-by-step explanation:
In Diana case :
Score = 92
Mean score , μ = 71
Standard deviation σ = 15
So,
P( x ≥ 92 ) = 1 - P( x ≤ 92 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )
= 1 - P( z ≤ 1.4 )
= 1 - 0.9192
= 0.0808 = 8.08 %
⇒P( x ≥ 92 ) = 8.08%
∴ we get
Diana score is > 91.92% other students in the class.
In Micheal case :
Score = 688
Mean score , μ = 493
Standard deviation σ = 150
So,
P( x ≥ 688 ) = 1 - P( x ≤ 688 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )
= 1 - P( z ≤ 1.3 )
= 1 - 0.9032
= 0.0968 = 9.68 %
⇒P( x ≥ 688 ) = 9.68%
∴ we get
Micheal score is > 90.32% other students in the class.
From both scores , we can conclude that
Diana's score is better.
How much is 20% off of $90.75?
Find the product (6x² + 2x)(x²+4x)
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²NEED HELP ASAP!!! for geometry class
Answer:
B) AAS
Step-by-step explanation:
B) AAS
Jay jogs daily for exercise. he hits faster than 3.5 miles per hour every day. which inequality representd Jay's jogging speeds s?
Answer:
B
Step-by-step explanation:
The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.
Which of the following is a composite number between 1 and 10? A. 5 B. 3 C. 7 D. 4
Answer:
b
Step-by-step explanation:
Answer:
Answer is D.
Step-by-step explanation:
I hope it's helpful!
There are 39 students in the gym, and there are an equal number of students in each class. If three classes are in the gym, how many students are in each dass?
What is -3(2x + 1) ?
- 6x - 3
- 6x + 3
- 6x - 6
Please help me on this
Answer:
61
Step-by-step explanation:
90 divided by 36 is 2.5 add 10 to the 90 then multiply 10 by 2.5 you get 25 then add 25 to 36 witch gives u 61. 90/36=2.5x10=25+36=61
/ is for division. Hope it helps.
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game, He actually spends $15. What is the percent error?
PLEASE ANSWER
Answer:
.........................................................................................................................................................................
Step-by-step explanation:
solving the systems of linear equations by substitution.
x+2y=6
5x+2y=18
Find mZB in the parallelogram.
B
С
51°
A
D
7
mZB=
Answer:
plzz show me the diagram otherwise I can't help you sorry!!!!
Determine whether the ratios are equivalent 6 : 10 and 12 : 20 ?
Answer:
Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.
PLEASE HELP I'LL GIVE BRAINLIEST!!!!!!!!! According to the Census Bureau, in 2014 California had an estimated population of 3.88 × 107 and Wyoming had a population of 5.84 × 105. Complete the following sentences.
3.8216 × 107 0.38216 × 107 3.8216 × 106 38.216 × 107 0.66 × 101
66.4 × 101 6.64 × 101
The population of California is __________ more than the population of Wyoming
Alternatively, the population of California is _________ times the population of Wyoming.
Answer:
The population of California is [tex]3.3216 * 10^{7}[/tex] more than the population of Wyoming.
Alternatively, the population of California is [tex]6.64 * 10^{1}[/tex] times the population of Wyoming.
Step-by-step explanation:
The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.
Not that we've done that, let's start with the first part of the problem.
"The population of California is __________ more than the population of Wyoming."
This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.
[tex]38,800,000 - 584,000 = 38,216,000.[/tex]
Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:
[tex]3.8216 * 10^{7} .[/tex]
Now for the second part.
"Alternatively, the population of California is _________ times the population of Wyoming."
This is a problem of division. The question is asking us to divide California's population by Wyoming's population.
[tex]\frac{38,800,000}{584,000} = 0.664383562 * 10^{2} .[/tex]
We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:
[tex]6.64 * 10^{1}.[/tex]
So, the answer to the question is:
1. [tex]3.8216 * 10^{7}.[/tex]
2. [tex]6.64 * 10^{1}.[/tex]
Hope this helped you, and I hope you get a perfect score!! :)
Answer:
The population of California is ( 3.8216 x 10⁶ ) more than the population of Wyoming.
Alternatively, the population of California is ( 6.64 x 10¹ ) times the population of Wyoming.
Step-by-step explanation:
I'm pretty sure this is what the other person was trying to say it was just very confusing.
Anyway I got this right on my mastery test.
so thx for the points
please i’ve been stuck on this for days i need help
Answer:
x=12, y=9, z=7, w=3
Step-by-step explanation:
My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.
Which expression shows an equivalent way to represent the total bill?
Answer:
(7+5.5)m + 5.5(2)
Step-by-step explanation:
Given:
Equation;
7m + 5.5(2+m)
Find:
Equivalent way
Computation:
7m + 5.5(2+m)
7m + 11 + 5.5 m
12.5m + 11
Or
(7+5.5)m + 5.5(2)
What does the enlargement look like and what are the coordinates?
Answer:
(-6, -3) (-3,-3) (-3,-6)
Step-by-step explanation:
Multiple all of the vertices by 1.5.
(-6, -3) (-3,-3) (-3,-6)
Hope I helped!
[enlargment will still be a triangle]
The sum of two numbers is 50. One number is 28 more than the other. Find the numbers.
Answer:
Step-by-step explanation:
28+22 is 50
Answer:
12+28=50
Step-by-step explanation:
3/8x5/4 Helpppppp pls
Answer:
9/25 or .36
Step-by-step explanation:
(This is fundamental Counting principle) choosing from 35 different flavors of ice cream; one, two or three scoops; and sugar or waffle cone.
Answer:
210
Step-by-step explanation:
35x3x2=210
Is a coin flip random? Why or why not, in your opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Hello Brainly pleas help
Answer:
can you take a better pick
Step-by-step explanation:
Help me please!...ffddfdf
Answer:
Radius:3.5 or 7/2
Diameter:7
Step-by-step explanation:
The diameter is given, and the radius is half of the diameter because it's from the middle of the circle to the edge. Divide 7 by two and you get radius
PLEASEEEEEEEEEEEEEEE answer below
6. Find the ICM of 60 and 400
Answer: it's 1200
Step-by-step explanation: please give me brainliest
400x3=1200
60x20=1200
Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer
Answer:
1/5 of a box of candy
Step-by-step explanation:
Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).
Ophelia reads 104 pages in 2 hours, how many pages will she read in 3 hours? REMEMBER TO INCLUDE THE UNIT OF MEASURE (PAGES)
IN YOUR ANSWER.
eb9th
m 12:00
Your answer:
Answer:
156 pages.
Step-by-step explanation:
Ophelia's reading speed is 104 pages / 2 hours = 52 pages/hour. So in 3 hours she will have read 3 * 52 = 156 pages.
its something about cookies
Answer:
huh????
Step-by-step explanation:
Answer:
cool. i like cookies.
HELP FAST PLS ILL LOVE U FOREVER <3 Angle ABC is 47 degrees. What is the the measure of angle CBD?
Answer:
43
Step-by-step explanation:
we know that ABC and CBD need to add up to 90 so we have
47+CBD=90
CBD=43
Answer:43Step-by-step explanation: if angle ABD is 90 degrees, and abc+cbd=ABD then ABD-ABC=CBD 90-47=CBD which is 43