Find one factor
[tex](x-2)(x^{2} +2x-3)[/tex]
Find one factor
[tex](x-2)(x-1)(x+3)[/tex]
[tex]solution:(x-2)(x-1)(x+3)[/tex]
Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.
Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]
The interval is (10.15, 12.45).
A similar problem is given at https://brainly.com/question/24232455
What is the unit rate of 124 pages and 2 hours
Answer:
62 pages per hour.
Step-by-step explanation:
Divide 124 ÷ 2.
In a multiple choice test, a candidate gets 3 marks for a correct answer and one mark is deducted for an incorrect answer. If Ayobi answers all 30 questions and scores 30 marks, how many questions did
she get wrong?
Reason too
Answer:
30/3 = 10
Step-by-step explanation:
Divide 30 by 3 to get your answer which is going to be 10
The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Answer:
18 °F
Step-by-step explanation:
Simply multiply 3 and 6
One hour is 3 °F
Two hours is 6 °F
Three hours is 9 °F
Four hours is 12 °F
Five hours is 15 °F
Six hours is 18°F
Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.
Step-by-step explanation:
Evaluate:
-[-1⅘ ÷ 0.3(1.2)] - 5/6
⇛-[- 20/5 ÷ 0.3(1.2)]-5/6
⇛- [-20/5 ÷ 0.36] - 5/6
⇛-[-20/5 ÷ 36/100] - 5/6
Here I have changed in expression decimal point into fraction by putting 100 in Denominator.
⇛-[-20/5 × 100/36] - 5/6
⇛-[(-20 × 100)/(5×36)] - 5/6
⇛-[-2000/180]-5/6
Remember (-) × (-) = +.
⇛2000/180 - 5/6
Now, LCM of the denominator 6 and 180 is 180.
⇛(2000 - 150)/180
⇛1850/180
Now, reduce the fraction by extracting and cancaling out by 2.
⇛825/80
Again reduce the fraction by extracting and cancaling out by 5.
⇛165/16 Ans.
Hope this helps!!
I NEED HELP WITH THIS PLSSS
Answer:
B
Step-by-step explanation:
I'm just hungrey ahhaahhaahhahahahahahahahahahahhahahahahahahahahahhahahahahagahaha
please help me with this sum
Step-by-step explanation:
2667
1884
1953
782
2046
3105
8559
5368
963
3367
Answer:
381 x 7 = 2667
471 x 4 = 1884
651 x 3 = 1971
391 x 3 = 1173
341 x 6 = 2046
Hope its help full
I'm thinking of 2 numbers. Both numbers have the same absolute value. What number must be true about the 2 numbers?
Answer: they have the same number in them for example -4 and 4
Step-by-step explanation:
If you answer this question correctly I will give brainliest
Answer:
Final point:
(18,35)
Step-by-step explanation:
This is because the x=intercepts are increasing at a constant rate of 10.
Hope this helps :)
Subtract. (2/9)−(−1/3+5/9)
Answer:
0
Step-by-step explanation:
the answer is in the above
the answer is 0
or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?
Answer:
adult tickets x=88 and senior tickets y=52
Step-by-step explanation:We can take adult ticket as x and senior ticket as y.
Now we will form two equations
x + y = 140
13x + 10y = 1664
This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)
We will multiply first equation with (-10) and get
-10x-10y=-1400 Than we will add to second equation and get
3x=264 => x=264/3=88 => x=88
Now we will replace x in the first equation before multiplying and get
88+ =140 => y= 140-88= 52 => y=52
adult tickets x=88 and senior tickets y=52
Good luck!!!
In a figure, D and E are points on side BC of a△ ABC such that BD = CE and AD = AE. Show that △ABD ≅ △ACE
Step-by-step explanation:
AD=AE
BD=EC
D=E
....ABD=ACE
What is the midpoint of CD?
Answer:
The endpoints of the line segment CD are:
$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$
We find the midpoint using th
The graph of y=3+2x-x^2 is shown.
Please answer will mark BRAINELIST
Answer:
turning point: (1, 4)
Roots: (-1, 0), (3, 0)
Step-by-step explanation:
The turning point is the vertex of the parabola, which occurs at point (1, 4). The roots are the areas where the graph crosses the x-axis, referred to as the x-intercepts. The graph crosses the x-axis at points (-1, 0) and (3, 0).
F(x)=-(-1)^2+ 2(-1)-1
Answer:
f(x)=-4
I recommend this math site that could help you with these kind of problems
M
A
T
H
W
A
Y
.
C
O
M
Step-by-step explanation:
solve the equation 3/4x-5=x
give your answers correct to 2 decimal places
Given :
3/4x - 5 = xTo find :-
The value of x .Solution :-
Taking the given equation ,
3/4x - 5 = x x - 3/4x = -5 4x - 3x /4 = -5x/4 = -5x = -5*4x = -20Which of the following is the balance for a single $2,702 deposit in an account with an APR of 3% that compounds interest monthly and is invested for 37 years?
Answer:
the answer should be 6 if i am not wrong
Step-by-step explanation:
Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?
. . .Factor 2x2 + x - 1
Answer:
(2−1)(+1)
Step-by-step explanation:
22+−12x^{2}+{\color{#c92786}{x}}-12x2+x−122+2−−1
solve pls brainliest
Answer:
2 4/9
Step-by-step explanation:
1. To change an improper fraction to a mixed number, divide the numerator by the denominator. Then, write down the quotient as the whole number and the remainder (left over amount) as the numerator. Remember to NOT change the denominator.
2. Given the information above:
22 ÷ 9 = 2 R 4 2 4/9Therefore, 22/9 as a mixed number is 2 4/9.
(BRAINLIEST to best answer) - Write a linear equation that goes through (1, 3) and (2, 6).
Answer:
y = 3xStep-by-step explanation:
Using the given points find the slope and the y- intercept.
y = mx + bThe slope is:
m = (6 - 3)/(2 - 1) = 3/1 = 3The y- intercept is:
3 = 3*1 + b3 = 3 + bb = 0The line is:
y = 3xSlope
m=6-3/2-1m=3Equation in point slope form
y-3=3(x-1)y-3=3x-3y=3xwrite 1234 base 5 in powers of 5.
Answer:
Step-by-step explanation:
613 = 4x125 + 113 = 4x53 + 113
Hence the first digit (reading left to right) is a 4.
The remainder is 113 so how many 25's are there in 113?
113/25 = 4 with a remainder of 13
Thus
613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13
Hence the second digit (reading left to right) is also a 4.
The remainder is 13 so how many 5's are there in 13?
13/5 = 2 with a remainder of 3
Thus
613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3
Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore
613 written in base 5 is 4423
example
What is the slope of 3x+4y=−2?
Answer:
[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]
Please help! Will give brainliest if the answer is correct
Answer:
18+18√3
Step-by-step explanation:
We know that ,
Perimeter = 2(l + b)On substituting ,
P = 2 ( l + b ) P = 2 ( 2 + 5√3 + 7 + 4√3 ) P = 2 ( 9 + √3(5+4)) P = 2 ( 9 + 9√3) P = 18 + 18√3solve log2 base x + log4 base x + log8 base x = 12 ?
Answer:
Step-by-step explanation:
where is the circumvented of a right isoceles triangle located
Answer:
The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (i.e., the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (i.e. meeting at one point).
Step-by-step explanation:
I hope that helps you and the explanation is in this answer too
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
-5 -5
-3 -5
-5 -3
-3 3
Answer:
(-3,-5) .............................
I don't get it please help and show me how to do it
Answer:
Step-by-step explanation:
You plug in the given values and compute s:
s = ut + 1/2 at^2
s = 10*1/2 + 1/2*-2*(1/2)^2
= 5 + -1*1/4
= 4 3/4.
Draw a Graph y=3/2x+2
The answer is in the graph.
Answer:in the picture
Step-by-step explanation:
please give me a brainliest answer
In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century. It has three tenets:
1. Living organisms are made up of cells.
2. Cells are the basic structural/organizational unit of all organisms.
3. All cells come from pre-existing cells.
What technology had the greatest impact on cell theory?
Step-by-step explanation:
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells
What is cell theory?In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.
Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells.
This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.
To know more about cell theory follow
https://brainly.com/question/1594446