Answer:
Step-by-step explanation:
I don't know what the answer is if I am not given choices, but here is one possibility.
2(x^2 - 12x - 7)
You could factor what is inside the brackets.
2(x - 12.557) (x + 0.557)
Answer:
Step-by-step explanation:
since it is in the form of quadration equation , we can use quadratic formula . In quadratic equation we get the two values of x . one will be positive and another will be negative.
I need help help help
Answer:
use app Gauthmath its will give you the answer
What is the standard form of y - 8 = 2(x + 3)
Answer:
y=2x+14
Step-by-step explanation:
y=2x+2.3+8=2x+14
Elysia has 2 apples she gives 1 to her friend so how many does she have?
Answer:
One Apple.
Step-by-step explanation:
This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1
One apple.
Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given that, Elysia has 2 apples she gives 1 to her friend,
To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,
Number of apples Elysia left with = 2-1 = 1
Hence, Elysia will have one apple.
Learn more about subtraction, click;
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Give the domain and range of the quadratic function whose graph is described. Maximum = - 4 at x = 10 The domain of the function is . (Type your answer in interval notation)
Answer:
it is a parabola with max of -4
so domain (-∞,∞)
Step-by-step explanation:
Two triangles have the same area. One triangle has a base of 4 cm and a height of 7 cm. If the height of the other triangle is 14 cm, then what is its base length?
3 cm
2 cm
4 cm
5 cm
Answer:
x = 2
Step-by-step explanation:
→ Work out the area of the first triangle
0.5 × 4 × 7 = 14
→ Set up an equation for the second base
0.5 × x × 14 = 14
→ Simplify
7x = 14
→ Divide both sides by 7
x = 2
Answer:
option B = 2cm
Step-by-step explanation:
[tex]Area \ of \ first \ triangle = \frac{1}{2} \times base_1 \times height_1 \ [ \where base_1 = 4\cm \ height_1 \ = 7cm \ ][/tex]
[tex]=\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2[/tex]
Given area of second triangle is same as first.
[tex]Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2 \ [ \ where \ height _ 2 = 14cm \ ][/tex]
[tex]14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm[/tex]
For each of the studies described, explain whether the study was an observational study or a randomized experiment.
a. A group of 100 students was randomly divided, with 50 assigned to receive vitamin C and the remaining 50 to receive a placebo, to determine whether or not vitamin C helps to prevent colds.
b. A random sample of patients who received a hip transplant operation at Stanford University Hospital during 2000 to 2010 will be followed for 10 years after their operation to determine the success (or failure) of the transplant.
c. Volunteers with high blood pressure were randomly divided into two groups. One group was taught to practice meditation and the other group was given a low-fat diet. After 8 weeks, reduction in blood pressure was compared for the two groups.
Answer:
B
Step-by-step explanation:
B
Name two characteristics of the Fibonacci Series that you observed.
Answer:
See the answers below
Step-by-step explanation:
Name two characteristics of the Fibonacci Series that you observed.
If we take a closer look at the Fibonacci series, we will notice the following characteristics
1.The next number is the sum of the two preceding numbers
2. Another interesting characteristic is evidenced in the convergence of the sequence
HELP PLEASE 20points!!!
At a high school, 9th and 10th graders were asked whether they would prefer
robotics or art as an elective. The results are shown in the relative frequency
table.
Answer:
61%
Step-by-step explanation:
We can see that out of all the people that were surveyed, 54% were 10th graders. Since 33% out of all the ones surveyed were 10th graders that chose robotics, the fraction would be 33/54 which is 0.611.
This is 61% approx.
Answer:
61%
Step-by-step explanation:
A P E X
√25 + √ 81 = ? Heheeh
Answer:
14
Step-by-step explanation:
sqrt(25) = 5
sqrt(81) = 9
5 + 9 = 14
Answer:
5.83095189485
Step-by-step explanation:
Its so long
A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean, µ for the probability distribution.
x P(x)
-500 0.076
-250 0.191
0 0.265
250 0.316
500 0.152
Answer:
The mean is [tex]\mu = 69.25[/tex]
Step-by-step explanation:
We are given the following distribution:
P(x = -500) = 0.076
P(x = -250) = 0.191
P(x = 0) = 0.265
P(x = 250) = 0.316
P(x = 500) = 0.152
Find the mean, µ for the probability distribution.
To find the mean, we multiply each outcome by its probability. So
[tex]\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25[/tex]
The mean is [tex]\mu = 69.25[/tex]
The following data represent the weights in pounds of a sample of 25 police officers:
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
Required:
a. Determine the location and value of the lower quartile of the weights
b. Determine the location and value of the upper quartile of the weights.
c. Find the interquartile range of the weights.
Given:
The data values are:
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
To find;
a. Lower quartile.
b. Upper quartile.
c. Interquartile range.
Solution:
We have,
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, 171.
Arrange the data values in ascending order.
134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157, 162, 163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177.
Divide the data values in two equal parts.
(134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177)
Divide each parentheses in two equal parts.
(134, 137, 140, 145, 146, 148), (151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169), (171, 172, 173, 174, 174, 177)
a. Location of lower quartile is:
[tex]Q_1=\dfrac{1}{4}(n+1)\text{th term}[/tex]
[tex]Q_1=\dfrac{1}{4}(25+1)\text{th term}[/tex]
[tex]Q_1=\dfrac{26}{4}\text{th term}[/tex]
[tex]Q_1=6.5\text{th term}[/tex]
The lower quartile of the weights is:
[tex]Q_1=\dfrac{148+151}{2}[/tex]
[tex]Q_1=\dfrac{299}{2}[/tex]
[tex]Q_1=149.5[/tex]
Therefore, the location of the lower quartile of the weights is between 6th term and the 7th term. The value of the lower quartile is 149.5.
b. Location of upper quartile is:
[tex]Q_3=\dfrac{3}{4}(n+1)\text{th term}[/tex]
[tex]Q_3=\dfrac{3}{4}(25+1)\text{th term}[/tex]
[tex]Q_3=\dfrac{3\cdot 26}{4}\text{th term}[/tex]
[tex]Q_3=19.5\text{th term}[/tex]
The upper quartile of the weights is:
[tex]Q_3=\dfrac{169+171}{2}[/tex]
[tex]Q_3=\dfrac{340}{2}[/tex]
[tex]Q_3=170[/tex]
Therefore, the location of the upper quartile of the weights is between 19th term and the 20th term. The value of the upper quartile is 170.
c. The interquartile range of the given data set is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=170-149.5[/tex]
[tex]IQR=20.5[/tex]
Therefore, the interquartile range of the weights is 20.5.
Write 6.7 multiple 10 in expanded form
Answer:
(6×10) + (0.7×10)
60+7=67
The diameter of a £1 coin is 22.5 mm. Work out its circumference to the nearest centimetre.Required to answer. Single choice.
(2 Points)
68
70
7
11
Answer:
7
Step-by-step explanation:
Circunference:
The circunference of a circle with diameter d is given by:
[tex]C = d\pi[/tex]
The diameter of a £1 coin is 22.5 mm.
Each mm has 0.1 cm, so the diameter, in cm, is of d = 2.25. Then
[tex]C = 2.25\pi = 7[/tex]
The circunference is of 7 centimeters.
A rectangular. Garden bed measures 8 x 6 feet a water faucet is at one corner of the bed hose must be long enough to reach opposite corner when stretched straight. Find required length of hose
Answer:
10 ft
Step-by-step explanation:
The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2
8^2 = 64 and 6^2 = 36
64 + 36 = 100.
the square root of 100 is 10 so the length of the hose is `10.
6. (15 points) Lucy can mow her yard in 3 hours and 15 minutes. Her brother Will
can mow the same yard in 4 hours and 45 minutes. How long will it take them to
mow the lawn together?
How to solve?
Answer:
1 hour 56 minutes
Step-by-step explanation:
Given :
Time taken by Lucy = 3 hours 15 minutes = 3.25 hours
Time taken by brother = 4 hours 45 minutes = 4.75 hours
Rate = 1 / time taken
Lucy's rate = 1 / 3.25
Brother's rate = 1 / 4.75
Combined rate = Lucy's rate + brother's rate
Combined rate = 1/3.25 + 1/4.75
Combined rate = 0.5182186
Time taken if they work together = 1/ combined rate
= 1 / 0.5182186
= 1.9296 hours
= 1 hour (0.9296 * 60) minutes
= 1 hour 56 minutes (approximately)
For each of the following properties write down a matrix that has this property or explain why there is no such matrix (Hint: Check first whether the dimensions add up)
(a) The column space contains (1,0,0)T, (0,0,1)T while the row space contains (1,1)T and (1, 2)T.
(b) The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T
(c) The column space is R4 and the row space is R3.
Answer:
a) A = [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2
b) attached below ( Matrix dose not exist )
c) attached below ( Matrix does not exist )
Step-by-step explanation:
a) Matrix
A = [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2
From the matrix ; Column 1 and Column 2 Belong to COL(A)
while : (1,1)^T = ( 1,0 )^T + ( 0,1 )^T i.e. (1,1)^T ∈ Row( A )
and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T i.e. (1, 2)^T ∈ Row( A )
Hence ; all requirements are fulfilled in Matrix A
b) The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T
Matrix is Non-existent because condition is not met
attached below
c) Rank | A |
dimension of column space= 4 , dimension of Row space = 3
Given that ; column space ≠ Row space
Hence Matrix does not exist
Which of the following graphs show a
proportional relationship?
Choose all answers that apply:
Help me please I only have 20min left to do this
Answer:
A
Step-by-step explanation:
Maria made $273 for 13 hours of work. at the same rate, how many hours would she have to work to make $189?
Answer:
9 hours
Step-by-step explanation:
$273/13 hours=$21 per hour
$189/$21 =9 hours
It costs $21.50 to enter an amusement park and $0.50 to ride a ride. You have $24. Write an equation that represents the number r of rides you can ride.
Answer:
$24.00=$21.50+r*$.50
Step-by-step explanation:
total cost= entrance fee + r (number of rides) * $0.50 (cost of rides)
$24.00=$21.50+r*$.50
2.50=r*.50
2.5/.5=r
r=5
C
What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
SER
O y=-*x+33
y=-*x+36
O y =
O y = 4x - 16
O y = 4x + 16
Mark this and retum
Save and Exit
Nex
Submit
9514 1404 393
Answer:
y = 4x + 16
Step-by-step explanation:
You can replace the point coordinates in the given point-slope form to get ...
y - 32 = 4(x -4)
Then rearrange to put this into slope-intercept form.
y = 4x -16 +32 . . . . eliminate parentheses, add 32
y = 4x +16 . . . . . . . . simplify
. year or once a year Your reading material illustrates a typical example of what happens if you pay just the minimum monthly payment every month on a credit card balance. In this example, approximately how long will it take to pay off the original debt completely? a. b. 2 years 5 years 12 years The debt will never be completely repaid. C. d.
Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 6)
Answer:
-5 =x
Step-by-step explanation:
0 = In(x + 6)
Raise each side to base e
e^0 = e^ ln (x+6)
1 = x+6
Subtract 6 from each side
1-6 = x
-5 =x
A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise,
Find the expected winnings for this game.
The expected winnings for this game are
(Round to the nearest hundredth.)
1
m
21
m
se
?
Enter your answer in the answer box.
Answer:
$3.50
Step-by-step explanation:
Given:
$10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise
P(6) = 1/6 ; p(5) = 1/6 ; p(4) = 1/6 ; p(1,2or3) = 3/6 = 1/2
P(x) ____ 1/6 _____ 1/6 _____1/6 _____1/2
x______ 10 _______ 7 _____ 4 _______ 0
Expectwd value ; E(x)
Σx*p(x) = (1/6 * 10) + (1/6 * 7) + (1/6 * 4) + (1/2 * 0)
E(x) = 3.50
Will mark brainliest if CORRECT
55
3. Patrick paid $20 for 5 peaches. How much did he pay per peach? Show
your work!
Answer:
Step-by-step explanation:
LA EDUCACION ES IMPIRTANTE YA QUE PROMUEVE UN MEJOR DESARROLLO DE LOS NIÑOS,NIÑAS Y ADOLESCENTES QUE LOS HACE FOMENTAR UN VINCULO MUY ESPECIAL CON SUS MAESTROS,COMPAÑEROS QUE LOS HACE SENTIR QUE SON PARTE DE SU FAMILIA ADEMAS ELLOS PASAN LA MAYORIA DE TIEMPO EN LA ESCUELA QUE LOS HACE SENTIRSE MÁS CÓMODOS COMO SI FUERA SU PROPIO HOGAR
Answer:
4 peaches
Step-by-step explanation:
$20/5 = 4 peaches
Mummy is 32 years older than her daughter, Aliyah. However, she is 8 years younger than daddy. The total age of the three of them is 144. What is daddy's age? 6
Answer:
Father's age = 64 years
Step-by-step explanation:
Given:
Mummy's age = Aliyah's age + 32
Father's age = Mummy's age + 8
Tota age = 144
Find:
Father's age
Computation:
Assume;
Aliyah's age = a
So,
Mummy's age = a + 32
Father's age = a + 32 + 8
Father's age = a + 40
Aliyah's age + Mummy's age + Father's age = Total age
a + a + 32 + a + 40 = 144
3a + 72 = 144
3a = 144 - 72
3a = 72
a = 24
Father's age = a + 40
Father's age = 24 + 40
Father's age = 64 years
A professor wants to estimate the average time it takes his students to finish a computer project. Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours. He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
Answer:
A sample size of 3 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.
This means that [tex]\sigma = 3.6[/tex]
He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
The sample size needed is of n, and n is found when M = 5. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5 = 2.054\frac{3.6}{\sqrt{n}}[/tex]
[tex]5\sqrt{n} = 2.054*3.6[/tex]
[tex]\sqrt{n} = \frac{2.054*3.6}{5}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2[/tex]
[tex]n = 2.19[/tex]
Rounding up:
A sample size of 3 is required.
identify the 3D shape :)thank you
If you folded the figure up, you would have a prism where the parallel bases are right triangles. Each lateral face is a rectangle.
It might help to imagine a room where the floor and ceiling are triangles (they are identical or congruent triangles). Each wall of this room is one of the rectangles shown.
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
Solution:-[tex]\sf{Set\:y = 0. Thus, }[/tex]
[tex]\sf\rightarrow{0 = x2 – 3x + 2} [/tex]
[tex]\sf\rightarrow{0 = ( x – 2) ( x – 1)}[/tex]
[tex]\sf\rightarrow{x – 2 = 0 or x – 1 = 0} [/tex]
[tex]\sf{Then\:x = 2\:and\:x = 1}[/tex]
Answer:-The zeros of y = x² – 3x + 2 are 2 and 1.=====================#CarryOnLearning
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5.3x-4=15.61 solve for x please
Answer:
x = 3.7
Step-by-step explanation:
15.61 + 4 = 19.61
19.61 divided by 5.3 = 3.7
Therefore, x = 3.7
Also because it syas "5.3x", it means you have to times that number and x to get the total number; so we can do the equation.