Answer:
p(x) = x^2 - 8x + 41
Step-by-step explanation:
If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.
p(x) = [x - (4 - 5i)][x - (4 + 5i)]
p(x) = [(x - 4) + 5i][(x - 4) - 5i]
Now it's a difference of two squares.
p(x) = (x - 4)^2 - (5i)^2
p(x) = x^2 - 8x + 16 + 25
p(x) = x^2 - 8x + 41
A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98 percent confidence interval for the population mean μ. The best point estimate for a confidence interval estimating the population μ is____ounces.
Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Martin says the area of a tile with a length of 1 foot by a width of 1 foot has an area of 1 square foot. And, to find 1/2 of this area, he would need to find 1/2 of the width and 1/2 of the length, and then multiply those two values. Unfortunately, his method is incorrect. Show at least one equation to show why this method would not work, and briefly state a method that will find 1/2 of 1 square foot.
I will mark brainliest if right really need help timed test.
Answer:
hvf yiuu Rex gghghhhhtctvuu122223850885bbbbbbbbygggggggggggggggggggggggh
5. The recursive formula NEXT = 3. NOW models the number of goldfish in a pond each year. If there are 36 goldfish in the pond after 3 years, how many goldfish will be in the pond after 6 years? A 324 B. 936 c. 972 D. 2,916
Answer:
B
Step-by-step explanation:
someone please help me answer this!!
Answer:
5.5 x 10 ^ 0
Step-by-step explanation:
What is the value of the expression below when x=7?
6x+ 10
A. 52
B. 67
C. 42
D.77
Answer:
52
Step-by-step explanation:
when a letter is next to a number like that and they tell u what the letter is u times it so 6x7+10=52 hope this helped :P
Eric's Dad asks him to figure out the tax on the meal his family just finished eating at their favorite restaurant. The total bill was 57.60 the tax is 7.5%. what is the amount of tax they will pay for this meal?
Answer:
7.5 percent of 57.60 is 4.32
I hope this helps. :D
PLEASE ANSWER FAST
15 POINTS WILL MARK BRAINLIEST
Which graph shows the result of dilating this figure by a factor of One-third about the origin?
A.) On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
B.) On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
C.) On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
D.) On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
I think the answer is A. Hope this helps!
Step-by-step explanation:
Item 16
Find the perimeter of the figure to the nearest hundredth. due today
Answer:
42.84 cm
Step-by-step explanation:
1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm
2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm
3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm
(2x2)+(8-6)
Whats the answer
Answer:
6
Step-by-step explanation
following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.
Hope this helps!
Answer:
the answer is six
Step-by-step explanation:
2×2=4
then
8-6=2
4+2=6
Janet bought 12 guavas and 16 apples. What is the ratio of guavas to apples?
12 : 16
divide by 4
3 : 4
that's it
The regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam. Homework scores are based on assignments that preceded the exam. The maximum homework score a student could obtain was 500 and the maximum midterm score was 350. The regression line that was obtained is given by y= -84.4+ .91x If a student had a homework score of 420, the midterm score would be predicted to be:_______
Answer:
294
Step-by-step explanation:
Given the regression equation :
y= -84.4+ .91x
The value of the x axis is the independent variable which is the homework score ; the predicted variable is the mid term score, which is the values represented on the y - axis :
. Hence, For a student whose homework score, x = 420 ; the predicted mid term score will be :
y= -84.4+ .91(420)
y = - 84.4 + 378
y = 293.6
y = 294
Mike ordered the extra large pizza pitched below, which has an area of 144π square inches.
If james orders a pizza that is 1/2 the radius of mike's pizza what is the area of jame's pizza?
Answer:
72 pie square inches
Step-by-step explanation:
size of Miles pize=144 pie square inches
james pize is half of Mike=144 pie square inches/2
=72 pie square inches
Helpppppppppppppppppppppp
Answer:
5250
Step-by-step explanation:
I’m not quite sure but I believe you are adding the 5% to the original 5000. 5000*(1.05) is 5250
what is the slope of the line ?
Answer:
Slope would be -1/3
Step-by-step explanation:
Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Answer:
I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)
4. Triangle PSV is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers. What is the slope of PV?
Answer:
-4,1
Step-by-step explanation:
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
If the coordinates of each of the vertex on the coordinate grid:
P = (2, 4)
S = (3, 4)
V = (3, 0)
The slope of PV is -4.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Triangle PSV:
The coordinates of each of the vertex on the coordinate grid:
P = (2, 4)
S = (3, 4)
V = (3, 0)
The slope of PV:
Choose any two coordinates from the line PV.
V = (3, 0) = (A, B)
P = (2, 4) = (C, D)
The slope of PV:
= (D - B) / (C - A)
= (4 - 0) / (2 - 3)
= 4 / -1
= -4
Thus,
If the coordinates of each of the vertex on the coordinate grid:
P = (2, 4)
S = (3, 4)
V = (3, 0)
The slope of PV is -4.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ6
heeeeeeeeeeeeelp meeeeeeeeeeeeeeeee
Answer:
7
Step-by-step explanation:
You have to multiply all of them with 8
The lateral surface area is _ square centimeters.
Answer: 24
Step-by-step explanation:
Can somebody pls help me :<
Answer:
True.
We can see that the line goes through (0, 0), however, the line is not dotted, therefore that point is included. (0,0) also coincides with the other inequality, which means that (0, 0) is a solution.
Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origin along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?
Answer:
The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].
Step-by-step explanation:
The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:
[tex]A(x,y) = P(x,y) + \vec v_{PA}[/tex] (1)
[tex]P(x,y)[/tex] - Absolute coordinates of point P.
[tex]A(x,y)[/tex] - Absolute coordinates of point A.
[tex]\vec v_{PA}[/tex] - Vector to point A relative to point P.
If we know that [tex]P(x,y) =(6,4)[/tex] and [tex]\vec v_{PA} = (-2, 2 )[/tex], then the absolute coordinates of point A are:
[tex]A(x,y) = (6,4) +(-2,2)[/tex]
[tex]A(x,y) = (4,6)[/tex]
The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].
siny dy/dx=cosy (1-xcosy)
Step-by-step explanation:
hope it helpe...............
Value of x
Give reasons
Answer:
50 degrees
Step-by-step explanation:
Ege saat 21.30da yattı ertesi sabah 7.15'te uyandı.Ege kaç saat kaç dakika uyudu
ACİLLLLLLL LAZIM!!!!!!!!!!!!!
Answer:
ega caava 68=46
Step-by-step explanation:
tura pu ka dakkia chu la
A farmer knows that a grocery store will reject a shipment of his vegetables if more than 4% of the vegetables contain blemishes. He inspects a large truckload of tomatoes to determine if the proportion with blemishes (p) exceeds 0.04. He selects an SRS of 150 tomatoes from the more than 2,000 tomatoes in the truck. Suppose that 8 tomatoes sampled are found to have blemishes. Which of the assumptions for inference about a proportion is violated, if any?
a. Large Counts: np > 10
b. Large Counts: n(1 – p) > 10
c. The sample is a random sample of the entire population.
d. 10% condition: the sample size is less than 10% of the population.
e. There do not appear to be any violations.
Answer:
Assumption A is violated
Step-by-step explanation:
x = number of blemishes = 8
n = sample size = 150
proportion = x/n = 8/150 = 0.0533
1. large counts: np> 10
= 150 * 0.0533 >10
= 7.995 > 10
this assumpton is obviously violated. 7.995 is not greater than 10
2. Large Counts: n(1 - p) > 10
150(1-0.0533)>10
150-7.995 > 10
142.005> 10
there is no violation. The assumption is satisfied
3. This assumption is satisfied. this is because the tomatoes were selected using simple random sampling.
4. 10% of the population = 0.1 * 2000 = 200
the sample size = 150
150 < 200
this assumption is satisfied
Please show your work
Answer:
9(3+c+4)=
27+9c+36=
63+9c=
Step-by-step explanation:
9(3+c+4)=
27+9c+36=
63+9c=
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5
Step-by-step explanation:
Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.
We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.
Two numbers are in the ratio 2:3 and have sum of 25...
What are the numbers?
Answer:
Use this as an example.
Step-by-step explanation:
a/b = 2/6 = 1/3
a/b = 1/3
b = 3a
a + b = a + 3a = 192
4a = 192
a = 192/4 = 48
b = 3a = 3(48) = 144
How can you write the expression 7(b-2) in words?
A. two subtracted from the quotient of seven divided by b
B. seven added to difference of b minus two
C.the quotient of seven divided by b minus two
D. two subtracted from seven times b
E. the product of seven and the difference of b minus two
Y= 5x +8
Write a real-world problem that can be represented by the following equation.
Answer:
caca
Step-by-step explanation:
Write 66,610 in scientific notation.