Answer:
The answer is "778"
Step-by-step explanation:
Given value:
[tex]\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84[/tex]
The formula for z-score:
[tex]\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778[/tex]
the solution of 3x+5=x+9 is ____
Answer:
x=2
Step-by-step explanation:
move x to the 3x side and move 5 to 9 side.
you get 2x=4
then you divide 2 from both sides and get 2
Answer:
x=2
Step-by-step explanation:
•Original Expression;
3x+5=x+9
•Group like terms;
3x-x=9-5
•Simplify
3x-x
=2x
Then
9-5
=4
Which is going to be;
2x=4
•Divide both sides by 2 to find x
4 can be divided by 2 two times so;
x=2
I WILL GIVE BRAINLIEST IF YOU CAN ANSWER THESE TWO QUESTIONS!!!!
2. Darwin believes that x + b is a factor of (x + b)3 + (x + c)2 – (b - c), while Eunju
believes it is not. Who is correct? Justify your response.
3. How can you prove that x2 + 5x + 6 is a factor of x* + 5x3 + 2x2 – 20x – 24, without
using long or synthetic division?
Answer:
2. Eunju is right
3. [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].
Step-by-step explanation:
Polynomial Remainder Theorem
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
As a consequence, if a polynomial is divisible by x-a, f(a)=0.
Part 1:
Let's make:
[tex]f(x)=(x+b)^3+(x+c)^2-(b-c)[/tex]
To find out if x+b is a factor of f(x), we find f(-b):
[tex]f(-b)=(-b+b)^3+(-b+c)^2-(b-c)[/tex]
Operating:
[tex]f(-b)=(-b+c)^2-(b-c)[/tex]
The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).
Part 2:
We must find out if [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex] without using long division or synthetic division.
We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:
[tex]x^2+5x+6 =(x+2)(x+3)[/tex]
Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.
Let's make:
[tex]f(x)=x^4+5x^3+2x^2-20x-24[/tex]
Find f(-2):
[tex]f(-2)=(-2)^4+5(-2)^3+2(-2)^2-20(-2)-24[/tex]
[tex]f(-2)=16-5*8+2*4+40-24 =16-40+8+40-24=0[/tex]
Find f(-3):
[tex]f(-3)=(-3)^4+5(-3)^3+2(-3)^2-20(-3)-24[/tex]
[tex]f(-3)=81-5*27+2*9+60-24[/tex]
[tex]f(-3)=81-135+18+60-24 =0[/tex]
Since both f(-2) and f(-3) are zero, [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].
If a car travels 180 miles in 4 hours, how many miles would it go in 6?
Answer:
270
Step-by-step explanation:
First, to find how far the car will go in one hour, you do 180 divided by 4. We already know that the car drives at a constant rate. If you do 180 divided by 4, you get 45. Then you multiply 45 by the amount of hours (6) to get 270
which following equal to forty and two hundred seventy four thousandsths?
A. 40.274
B.40.074
C.40.274
D.40.0274
Answer:
The answer to this question is C. 40.274.
Question 17 options:
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data.
sleep hours data.xlsx (8.6
8.3
7.6
6
7.1
5.6
5.1
6
Compute a 92% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 92 % confidence that the true mean time a student sleeps per night is between
Answer:
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
Step-by-step explanation:
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]
Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.
The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:
[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]
*Use a t-table.
Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
f(x)=2x^(2)-5x-20 find f(-9)
Answer:
187Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} - 5x - 20[/tex]
To find f(-9) , substitute the value of x that's - 9 into f (x). That is for every x in f(x) replace it with - 9
We have
[tex]f( - 9) = 2 ({ - 9})^{2} - 5( - 9) - 20 \\ = 2(81) + 45 - 20 \\ = 162 + 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 187 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
187Hope this helps you
1
222
2
599
3
209
Helpppopo
Answer:
∠1 = 36°
∠2 = 122°
∠3 = 122°
∠4 = 38°
Step-by-step explanation:
∠2 = 180°-58° (Supplementary angles add up to 180°)
= 122°
∠2 = ∠3 (Vertically opposite angles are equal)
= 122°
∠1 = 180°-122°-22° (Sum of angles in a triangle is 180°)
= 36°
∠4 = 180°-122°-20° (Sum of angles in a triangle is 180°)
= 38°
If the human brain operates at one billion billion calculations per second, why does a computer do maths faster than a person?
Don't answer, take the points.
Answer:
thanks bro
Step-by-step explanation:
Step-by-step explanation:
ggggggddfhhhjhhhjjjkkklllll
Estimate:
81 - 11.70 =
Answer:
the answer ur looking for
81 −11.7 ≈ 70
5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication
Answer:
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140
HOPE THIS HELPS TOUCH THANK FOR ME PLEASEA bus driver drives 147 miles on her route each day. She drove the bus 23 days last month. How many miles did the bus driver drive the bus last month?
A: 3,381
B: 3,161
C: 2,381
D: 2,161
Answer:
Step-by-step explanation:
147 x 23 = 3381
=>
Answer:
B: 3381
Step-by-step explanation:
147 X 23 = 3,381. if she drove 147 miles for 23 days that's 3381 miles in one month
What is proportional reasoning and how does it help you solve percent equations?
Answer:
We can't set up a proportion to solve for x in a percent equation. For example, 34/100=5/x
Step-by-step explanation:
You have 12 blue marbles, 6 yellow marbles and 2 green marbles. What is the ratio of blue marbles to total marbles?
awnser
12;8
Step-by-step explanation:
i belive its that if its not then its prolly 12;20 if you get it wrong i will give you points-
Find the slope of UV.*
Ау
S(1, 4)
4
T(5, 3)
V-1, 2)
U(3, 1)
-2.
N.
4
6 x
Answer:
The slope of UV = 4
Step-by-step explanation:
Given the points
U(3, 1)V(-1, 2)Finding the slope of UV
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-3\right)[/tex]
[tex]m=\frac{-3-1}{-2-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of UV = 4
|There is 1/2 of a liter of soda left after a class party. The 3 students on the clean-up crew are going
to split the soda equally. How many liters of soda does each student get?
Answer:
Each student will get 1/6 liters of soda.
Step-by-step explanation:
In order to do this, we need to divide 1/2 by 3.
All we had to do is multiply 2 by 3.
1/6 is smaller than 1/2, and because 6 is 2 x 3, it's 3 times smaller, or less.
Therefore, each student will get 1/6 liters of soda.
Hope this helps! :D
WHOS GOOD AT GEO PLEASE HELP ME!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?
A.
117
B.
433
C.
550
D.
883
Answer:
D
Step-by-step explanation:
From the total 1000 students, 450 are male, so 1000 - 450 = 550 students are female.
117 students are both [enrolled in extracurriculars] and [female].
The total number of [female] students is equal to the total number of [female AND enrolled] students plus the total number of [female AND not enrolled] students. The events of being enrolled in extracurriculars and not being enrolled are mutually exclusive. So if x is the number of female students not enrolled in extracurriculars, then
550 = x + 117
x = 550 - 117
x = 433
and the answer is B.
The Steelers have won 6 out of 8 Super Bowl games. What is the fraction for games won
Answer:
6/8
Step-by-step explanation:
what is the BEST ANSWER for the slope of the line that contains the following points:
(14, 5) and (54, 12)
Answer:
7/40
Step-by-step explanation:
12-5=7
54-14=40
7/40
Since mode is the most frequently occurring score, it can be determined directly from a frequency distribution or a histogram.
A. True
B. False
Answer:
A
Step-by-step explanation:
The mode describes the most frequently occurring score or observation in a distribution. The tallest bar would describe the most frequently occurring score. Hence, the mode can be inferred directly from a histogram.
A frequency distribution would have the frequency of the scores or observation on the vertical axis. Hence, the height of the bars can be used to infer which score has a greater frequency.Hence, the frequency distribution or histogram could be used to directly deduce the mode of a distribution.
Learn more : https://brainly.com/question/16785562
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
What is the value of 1 in 2.391
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
What is the value of this expression?
2+42 x 4 - 12
whats the answer
345 divided by 5, answer in standard form
Answer:
345 divided by 5, answer in standard form
69 ....
Answer:
69
Step-by-step explanation:
Standard: 69
word : sixty nine
Which table shows a proportional relationship between x and y?
х
7
14
o
28
35
у
2
4
5
X
1
4
7
o
3 5
у
2
CO
14
х
2.5
الم
5
6
o
y
5
6
10
15
1
2
3
4
O
4
10
12
у
16
The first table shows a proportional relationship between x and y.
Proportional relationshipA proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.
First tablex y
7 28
14 35
Second tablex y
1 2
4 4
7 5
The first table shows a proportional relationship between x and y, for every value of x, y increases by almost 2 times.
Learn more about proportional relationship here: https://brainly.com/question/2575222
a square number never end with 7 true or false
Step-by-step explanation:
true
hope it helps!
.......
5x+2(x+6)
A.7x+6
B.7x^2+12
C.7x+12
D.7x(x+6)
48 x 56 in area model
Answer:
2688
Step-by-step explanation:
Find the slope of the line (5,2) and (4,2)
Answer:
undefined
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
4-5/2-2
-1/0
When the denominator is 0, the slope is undefined.
Best of Luck!
Answer: There is no slope so 0
Step-by-step explanation:
Area model for division 427÷7
6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?
Answer:
0.92
Step-by-step explanation: