Answer: Your going to have to correct your placing of your numbers.
-12 is value of b for equation 27x²+bx+8=0
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
Given,
One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.
We need to find the value of b.
Let one root is a and the other root is a².
(x-a)(x-a²)=0
x²-xa²-ax+a³=0
x²-x(a²+a)+a³=0
Now multiply by 2
x²-2x(a²+a)+2a³=0
x² + bx + 16=0
2a³=16
Divide both sides by 2
a³=8
a=2
27x²-2x(a²+a)+2a³=0
27x²-2x(4+2)+16=0
27x²-2x(6)+16=0
27x²-12x+16=0
b=-12
Hence, -12 is value of b for equation 27x²+bx+8=0
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An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?
Let d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course)d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course). Use a significance level of α=0.1 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.
Student 1 2 3 4 5 6 7
Score on first SAT 500 380 560 430 450 360 560
Score on second SAT 540 470 580 450 480 400 600
Required:
a. State the null and alternative hypotheses for the test.
b. Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
c. Compute the value of the test statistic. Round your answer to three decimal places.
d. Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to three decimal places.
e. Make the decision for the hypothesis test.
Answer:
Since the calculated value of t = -0.215 falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05.
e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.
Step-by-step explanation:
Student 1 2 3 4 5 6 7
Score on first SAT 500 380 560 430 450 360 560
Score on second SAT 540 470 580 450 480 400 600
Difference d -40 -90 -20 -20 -30 -40 -40 ∑ -280
d² 1600 8100 400 400 900 1600 1600 ∑14600
a. Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
The degrees of freedom = n-1= 7-1= 6
The significance level is 0.05
The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,6) = ±2.447
d`= ∑di/n= -280/7= -4
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/6[14600-(-4)²/7] = [14600-2.2857/6]= 2432.952
b. Sd= 49.3249= 49.325
Therefore
c. t= d`/ sd/√n
t= -4/ 49.325/√7
t= -4/18.6435 = -0.2145= -0.215
d. Since the calculated value of t = -0.215 falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05
e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.
Write an explicit formula for the sequence -13,-6,1,8, ...
A. an= -13n+7
B. an= -13+(n+7)
C. an= -13+7(n-1)
D. an= -13n+7
Answer:
7n-20 I believe
Step-by-step explanation:
hope this helps
Answer: A
lol need extra characters
i took the test btw
What is 1/4 times 24.80
Answer:
6.2 is the answer you are looking for
choir is selling Pringle chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches . Which equation can be used to find the volume of the container?
1,,,,,,,V=pi(9)
2,...... V=pi(9)^2(32)
3,........V=pi(4.5)^2(32)
4,........V=pi(4.5)(32)
Please does anyone know the answer?
Answer:it’s V=pi(4.5)^2(32)
Step-by-step explanation:
The equation which can be used to find the volume of the container of Choir who is selling Pringle chips, is
[tex]V=\pi (4.5)^2(32)[/tex]
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.
Volume of cylinder is the can be given as,
[tex]V=\pi r^2h[/tex]
Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.
Choir is selling Pringle chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
As the radius is half of the diameter. Thus, the radius of the container is,
[tex]r=\dfrac{9}{2}\\r=4.5\rm\; in[/tex]
As this container is in the shape of cylinder. Thus, the volume of container can be found out using the above formula as,
[tex]V=\pi (4.5)^2(32)[/tex]
Hence, the equation which can be used to find the volume of the container of Choir who is selling Pringle chips, is
[tex]V=\pi (4.5)^2(32)[/tex]
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does anyone have a good website to solve for pythagorean theorem???
Answer:
you can't solve for the pythagorean theorem
Step-by-step explanation:
tyhe theorem is a theorem not a math problem
but you can just do sqrt(a^2+b^2) to get c
use desmo, wolfrm, gegebra, symblab, mahway etc
What would you tip for a $22 meal if you wanted to leave 15%?
$18.70
$4.40
$3.30
$25.30
THIS IS 90 POINTS:
what is 15m+35 graphed?
Answer:
Factor
5
out of
15
m
+
35
.
5
(
3
m
+
7
)
Step-by-step explanation:
Help me please and thank you
Answer:
c=45 b=150 d=75 a=90
Step-by-step explanation:
because you can look at how big angels are
Which of the following expressions will help him determine the length of segment BE? BE = AD BE = CD BE equals CD times AD over AE BE equals CD times AB over AC
Answer:
BE equals CD times AB over AC
Step-by-step explanation:
took the test
Answer:
BE = CD times AB/AC
Step-by-step explanation:
I took the test. And also, we know that BE + CD. so, the only one that we can eliminate from that is BE =AD. That's about all the explanation I can give you, sorry, but that is the right answer.
In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%. How many robberies were there this year, to the nearest whole number?
Answer:
262
Step-by-step explanation:
From the Question, we know that:
In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%.
Step 1
Find the amount decreased
35% × 403
= 35/100 × 403
= 141.05
Step 2
The amount of robberies this year is:
= 403 - 141.05
= 261.95
Approximately to the nearest whole number = 262
The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds will it take the Math clubs car to make it around the track
Answer: it will take 7 seconds
Step-by-step explanation: 9 x 7 = 63
Which polynomial can be factored using the binomial theorem?
81x2 + 117x + 169
81x2 + 234x + 169
6,561x4 – 9,477x3 + 13,689x2 – 19,773x + 28,561
6,561x4 – 18,954x3 + 27,378x2 – 39,546x + 28,561
Answer:
B.) 81x2 + 234x + 169
Step-by-step explanation:
Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.
Step-by-step explanation:
Kindly make the question clearer for assistance
If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.
Answer:
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Step-by-step explanation:
Fundamental identities:
These following trigonometric identities are used to solve this question:
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
With the cossecant, we can find the sine. So:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]
[tex]11\sin{\theta} = 4[/tex]
[tex]\sin{\theta} = \frac{4}{11}[/tex]
With the sine, we find the cosine.
Since the tangent is negative, the cosine is negative. So
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]
[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]
[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]
[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Cotangent:
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Can some one plz help i will give BRAINLIEST.
If there is a 10% chance of a certain flower species having blue petals, then is it possible to observe only 85 flowers with blue petals in a field of 1000 flowers? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.
I NEED HELP THIS IS DUE IN THIRTY MINUTES
convert decimals to fractions
1.167
2.4
1.75
Answer:
1167/1000
24/10
175/100
Step-by-step explanation:
1.167
we consider the point is equal to 1. After that point, all numbers, we consider as zero.
so, the answer would become:
1167/1000
This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio of the number of laps to the number of swimmers.
The constant of proportionality is ___
Answer:
12
Step-by-step explanation:
We all hate school
Answer:
The answer that you're looking for is 12
Step-by-step explanation:
Help me out hereeeeeeeeeeeeeee
Answer:
it is the first one because you times the 9 because it says twice and divide it by 3 because you donate to 3 parks
Step-by-step explanation:
A sports drink bottle contains 20 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
Answer:
He drank 16 ounces
Step-by-step explanation:
Because you just make 80% a decimal 0.80. and you multiply that by 20. And you get 16
what is 100 x 1000? And Explain your reasoning for the brainliest.
Answer:
100000
Step-by-step explanation:
100,000 or one hundred thousand.
1000 = one thousand
If you have 100 one thousands then you will have one hundred thousand.
aka 100,000
so 100 x 1000 = 100,000
One hundred times one thousand equals one hundred thousand.
Answer all questions and the topic is about ordering decimals and don't answer if u do not know.
Answer:
31. 0.93, 0.9, 0.33
27. 6.13, 6.14, 6.31
28. 3.09, 3.19, 3.9
29. 12.96, 12.83, 12.8
25. 9.06, 9.6, 9.66
26. 0.09, 0.67, 0.86
Step-by-step exp
find the scalar product of two verton
Å - Git 3} and B-57-2} what is the
magnitude of vector product
This trip the family will spend $117.96. The next trip they will spend $119.27. This is an increase of ($117.96 − $119.27) or an increase of $1.31.
What is the percent of increase?
Round your answer to the nearest whole percent. Type your answer into the space.
Answer:
1.11055% increase
Select the correct answer.
Which equation is equivalent to the given equation?
-4(x-5)+8x=9x-3
Answer:
b, its the logical answer
Step-by-step explanation:
The value of the expression -4(x-5)+8x=9x-3 will be -5x = -23 The correct option is D.
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is -4(x-5)+8x=9x-3. The solution to the expression is given below:-
-4(x-5)+8x=9x-3
-4x + 20 + 8x= 9x - 3
4x - 9x = -20 - 3
-5x = -23
Therefore, the value of the expression -4(x-5)+8x=9x-3 will be -5x = -23 The correct option is D.
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After selling half their card collections, DeShawn and Stephanie each buy 9 new cards. What is the ratio of the number of cards DeShawn has to the number Stephanie has?
Answer:
54:27
Step-by-step explanation:
DeShawn already has 45 cards so 45+9=54
Stephanie already has 18 cards so 18+9=27
So ratio is : 54:27
please help but right answers
Answer:
51=-3x+6 -6
45=-3x ÷(-3)
-15=x
Step-by-step explanation:
prove me wrong
Answer:
r=-15
Step-by-step explanation:
51-(-3r+6)=0
3r-6+51=0
3r+45=0
3r=-45
r=-45/3
r=-15
Someone please help! What is the domain and range of the relation?
Answer:
The domain is the set of all first elements of ordered pairs (x-coordinates).
The range is the set of all second elements of ordered pairs (y-coordinates).
Only the elements "used" by the relation or function constitute the range.
During a basketball game, the coach needs to select a player to make the free throw after a technical foul on the other team. There is a 68% chance that the coach will select you and a 26% chance that the coach will select your friend. What is the probability that you or your friend is selected to make the free throw?
For the probability of you or your friend add the probability of each together:
68% + 26% = 94% (0.94 if you need it as a decimal)
Answer: there's an 42 percent chance that your friend might make a free throw.
Step-by-step explanation: if u subtract u will get your answer that's bow i got this answer.
The side opposite from the right angle is called
Answer:
The side opposite from the right angle is called the hypotenuse.
Which of these expressions equal 15 when x=1/2 and y=3? Circle all that apply. Please help with this my teacher need me to work out xy+3 1/2+20x Btw guys 3 1/2 are mixed numbers if your wondering
Answer:
15
Step-by-step explanation:
First you would replace the x and y's with 1/2 and 3.
So it would look like: (1/2) (3) + 3 1/2 + 20 (1/2)
Next, you go by PEMDAS (parenthesis, exponents, multiplications, division, addition, subtraction)
So you would first multiply and the parenthesis that I added mean multiplication.
1.5 + 3.5 + 10
So then all that is left to do is add because I multiplied everything out.
So it is 5 + 10 which is 15