The breadth and error margin of the confidence interval will rise when the confidence level is raised from 95% to 98%.
We are more certain that the genuine population mean falls inside the interval if the confidence level is larger. The range of feasible values for the population means will be broader since we need to widen the interval in order to reach this higher degree of confidence.
Since the margin of error equals half of the interval's breadth, it is directly proportional to the interval's width. The margin of error will therefore expand as the confidence level does as well.
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Describe and correct the error in simplifying the expression.
(2e^-3x)^4= 1/16e^12x
The correct solution of the expression is,
⇒ 16 / e¹²ˣ
We have to given that;
The value of Expression is,
⇒ (2e⁻³ˣ)⁴
Now, We can simplify as;
⇒ (2e⁻³ˣ)⁴
⇒ 2⁴ × e⁻¹²ˣ
⇒ 16e⁻¹²ˣ
⇒ 16 / e¹²ˣ
Thus, The correct solution of the expression is,
⇒ 16 / e¹²ˣ
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Which of the following is a statistical question that can result in numerical data?
A- How many miles do you travel to get to school each week?
B-How many hours do the students in your class study each week?
C- Who is the doctor at Pediatric Specialists?
D- How many cars do your grandparents have?
Answer: D
Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?
What is a statistical question?
A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.
looking for answer and explination
1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98
Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.
for the above prompt , we have to use the formula:
l (x) = f(a) + f' (a) (x-a)
where (a) is the value fo the function at point a
and f' (a) is the derivative of the function evaluated at point a.
Using a = 1, f(a) becomes:
f(1) = 2 (1) ⁵ - 8 (1) + 5
f (1) =-1
f(x) = 10x⁴ -8
So f' (1 ) when evalutated will give us the slope of the tangent line at x =1
Thus,
f (1 ) = 10 (1)⁴ -8
= 2
Hence substituting all the values into th e linearization formula we get:
l(x) = f( 1) + f '(1) (x-1)
= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3
This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3
b) Given the l(x) above, f(1.01) gives us:
l(x) = 2x -3
= 2 (1.01) -3
= - 0.98
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a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answer:
10 dollars
Step-by-step explanation:
5 + 5
Find the indicated vector
Answer:
(d) 5i -j
Step-by-step explanation:
You want the value of the expression 2u -v where u=3i and v=i+j.
SubstitutionUse the given definitions of u and v, and simplify in the usual way.
2u -v = 2(3i) -(i+j)
= 6i -i -j . . . . . . . . . eliminate parentheses
= 5i -j
__
Additional comment
The unit vectors i and j can be treated as though they were variables. The usual properties of equality and (scalar) arithmetic apply.
Rewrite the following in the form log(c). log(5) + log(2)
Answer:
log(10)
Step-by-step explanation:
We can use the product property for logarithms:
log(a)+log(b)=log(ab)
In our case, a=5 and b=2. We can multiply a and b now to get the new number we're taking the logarithm of.
log(2)+log(5)=log(2×5)=log(10)
Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+4cos(θ)+6=0
Select all that apply:
1.07
3.96
0.31
2.32
1.68
2.43
Answer:correct answers are 3.96
2.32
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
-7u^2 + 4u + 6 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -7, b = 4, and c = 6. Substituting these values, we get:
u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)
u = (-4 ± sqrt(136)) / (-14)
u = (2 ± sqrt(34)) / 7
Therefore, either:
cos(θ) = (2 + sqrt(34)) / 7
or:
cos(θ) = (2 - sqrt(34)) / 7
Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:
θ = arccos((2 + sqrt(34)) / 7)
θ = arccos((2 - sqrt(34)) / 7)
Using a calculator, we find:
In a jar of lollies there are 6 more orange lollies than green ones and there is only one red lolly. If there are 47 lollies in the jar, how many orange ones are there?
Answer:
Let's use "g" to represent the number of green lollies in the jar.
According to the problem, there are 6 more orange lollies than green ones, so the number of orange lollies is "g + 6".
We also know that there is only one red lolly.
The total number of lollies in the jar is 47, so:
g + (g + 6) + 1 = 47
Simplifying the equation:
2g + 7 = 47
Subtracting 7 from both sides:
2g = 40
Dividing by 2:
g = 20
So there are 20 green lollies in the jar.
And since there are 6 more orange lollies than green ones, there must be:
g + 6 = 20 + 6 = 26 orange lollies in the jar.
Step-by-step explanation:
Give the equation of the circle centered at the origin and passing through the point (0, 6).
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%
The probability in percentage form is P(divisor of 54) = 29.6%
How to find the probability?The divisors of 54 are:
2, 3, 6, 9 (in the range we care)
Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.
So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:
P(divisor of 54) = 16/54
P(divisor of 54) = 0.296
To write it as a percentage just multiply it by 100%.
P(divisor of 54) = 0.296*100% = 29.6%
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Find the value of x,y and z in the rhombus below
Answer:
-10x - 8 + 98 = 180
-10x + 90 = 180
-10x = 90
x = -9
-y - 5 = 98
-y = 103
y = -103
-2z + 8 + 98 = 180
-2z + 106 = 180
-2z = 74
z = -37
If csc(x) = 2, for 90° < x < 180°, then
sin(x/2)=
cos(x/2)=
tan(x/2)=
Después de analizar un conjunto de datos se encontró que la desviación estandar es igual a 9, se requiere conocer
ahora, el valor de la varianza
The variance of the data-set in this problem is given as follows:
81 units squared.
How to obtain the variance of the data-set?The standard deviation for the data-set in this problem is given as follows:
9 units.
The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.
Hence the variance of the data-set in this problem is given as follows:
(9 units)² = 81 units².
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a certain forest covers an area of 1700km^(2). Suppose that each year this area descreases by 7.5%. What will the area be after 11 years?
Answer: y= 1700 (1- .0325) ^15= 1700(.9675) ^15=1700(.60920660)= 1035.65 km Hope this helps!
Step-by-step explanation:To calculate the area of the forest after 5 years, we need to use the formula:
A = A0 * (1 - r/100)^t
PLEASE MARK BRAINLIST
Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists
Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.
Therefore option A is correct.
What is a college degree?The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.
With reference to the table, the occupations that do not require a college degree are:
Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicuristsWe were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.
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Will give Brainliest and points.
A fair, 6-sided die is rolled 60 times. Predict how many times it will land on a number greater than 2.
60
40
20
two thirds
What is the area of this polygon?
Answer:
78
Step-by-step explanation:
(5+8)×12/2=78
(5+8)×12/2=78
What are the coordinates of point c?
(-2.5, 0)
(0, -2.5)
(0, -3)
(-3, 0)
Answer:
0, -2.5
Step-by-step explanation:
First find the latitude coordinate (N-S)
=0
2nd find the longitude coordinate (W-E)
=-2.5
since it's between -3 and -2, we'll put a decimal 5 (.5)
plot the point whose polar cord are (3, -135 degrees) pick graph below
The plot of the given point must be at.
the third circle and at the 9th ray clockwise from the positive x-axis.
How to plot the point in polar coordinates?Here we want to plot the point (3, -135°).
Remember that a point whose polar coordiantes are (R, θ) must be ploted along the circumference of a circle of radius R, at the angle θ measured counterclockwise from the positive x-axis.
Then here we need to have a circle of radius of 3 units, and plot the point at -135° from the positive x-axis.
Now, each of the rays has 15° on it, then the point should be graphed on the third circle (radius of 3 units) and at the 9th ray clockwise from the positive x-axis (clockwise because the angle is negative, and 9th ray because 9*15 = 135)
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What is the amount of your employer's contributions if the company matches 50% of the first 4% of your salary, and you make $72,000 a year?
O $1,440.00
O $1,000.00
O $2,880.00
O $36,000.00
Find the value of x 30 degrees and 50 degrees
Answer: I think its 1500x
Step-by-step explanation: I multiplied them both.
Hope it helped :D
Answer:
1500000000000
Step-by-step explanation:
i don't know how but the answer is pretty easy but I don't feel like it so yeah there's
11 zero s
where does the food go when you eat
Answer:
down your esophagus into your stomach
Step-by-step explanation:
After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.
PLEASE HELP ME SOLVE THIS FOR BRAINILEST
Answer:
Point B and Point G are opposite rational numbers because they are the same distance away from 0
Step-by-step explanation:
-4/3 and 4/3 are almost the same number, except that -4/3 is a negative rational number, while 4/3 is a positive rational number
The answer essential relates to the absolute value (how far a number is away from 0; always a positive value
We can see that -4/3 and 4/3 are both the same distance away from 0 using the number line
-4/3:
-4/3 is -4/3 units to the left of 0. To get back to 0, you have to move 4/3 units to the right so it is 4/3 units away from 0, even though it's a negative number
4/3:
4/3 is 4/3 units to the right of 0. To get back to 0, you have to move 4/3 units to the left, but the value remains positive even though you're moving to the left. Thus, 4/3 is simply 4/3 units away from 0:
full method please
-8+27÷(-3)-(-2)
The solution of the expression -8+27÷(-3)-(-2) is determined by applying the rule of BODMAS as -35.
What is the solution of the expression?
The solution of the expression is calculated by applying the following formula as shown below;
BODMAS;
B - stands for bracketO - stands for ofD - stands for divisionM - stands for multiplicationA - stands for AdditionS - stands for subtractionBased on the rule of BODMAS, we solve the bracket first, then division, before addition and subtraction.
-8+27÷(-3)-(-2) = -8+27÷ -1
-8+27÷ -1 = -8 - 27
-8 - 27 = - 35
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The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
We have,
The real exchange rate represents the relative price of goods and services between two countries.
It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.
To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.
1800 rupees / 90 rupees per dollar = $20
The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.
The real exchange rate (RER) is calculated as:
RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price
RER = (90 rupees per dollar * 1800 rupees) / $25
RER = 6480 / $25
RER = 259.2
The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.
Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.
The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.
In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.
This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.
Therefore,
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
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Rectangle LMNP is similar to rectangle WXYZ.
The length of LM is 19 in, the area of rectangle LMNP is 140.6 in2, and the length of XY is 2.22 in.
What is the difference between the perimeters of the two rectangles?
A. 31.96 in
B. 36.96 in
C. 15.84 in
D. 41.96 in
The required, difference between the perimeters of the two rectangles is,
⇒ 46.03 in.
Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.
Then, We get:
k = XY / LM
k = 2.22 / 19
To find the value of k, we can divide 2.22 by 19:
k ≈ 0.117
Hence, The area of rectangle LMNP is given as,
140.6 in².
We can use this to find the length of NP:
LM x NP = area of LMNP
19 x NP = 140.6
NP ≈ 7.4 in
Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:
XY / YZ = LM / NP
2.22 / YZ = 19 / 7.4
YZ ≈ 1.167 in
Now we can calculate the perimeters of both rectangles:
Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in
Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in
Thus, The difference between the perimeters is:
52.8 - 6.77 = 46.03 in
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Please anwser this is all the points I have :)
Check the picture below.
so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?
[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]
Answer: Large
Step-by-step explanation: Hope it helps Good luck!!!
Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering
class must have a greater mean IQ score than that of entering classes from previous years. The
administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score
is 114, with a standard deviation of 15. The college records indicate that the mean IQ score for entering
students from previous years is 113.
Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ,
of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's
entering class are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
(If Rococcan consult a list of
Answer: The answer is B and im 100% correct
Step-by-step explanation:
Given X = [b a / 4 a] , Y = [c d / a b] , and Z= [a c / 16 b]
What is Y if X-2Y=Z?
[2 -4/ -6 -2]
[4 -8/ -12 -4]
[-4 8/ 12 4]
[12 0/ 12 -12]
Answer:
[2 -4/ -6 -2]
Step-by-step explanation:
To solve for Y, we need to rearrange the equation X-2Y=Z to isolate Y.
X - 2Y = Z
2Y = X - Z
Y = (X - Z)/2
Now we substitute the given matrices for X and Z, and solve for Y:
X =
[b a
4 a]
Z =
[a c
16 b]
X - Z =
[b-a a-c
-12 a-b]
Y = (X - Z)/2 =
[(b-a)/2 (a-c)/2
-6 (a-b)/2]
So the answer is Y = [ (b-a)/2, (a-c)/2 / -6, (a-b)/2 ].
Therefore, the answer is (a) [2 -4/ -6 -2].
The calculated value of the matrix Y is [tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]
Calculating the matrix YFrom the question, we have the following parameters that can be used in our computation:
The matrix definitions
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as
[tex]Y = \left[\begin{array}{cc}c&d\\b&a&\end{array}\right][/tex]
So, we have
[tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]
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Which function represents the graph of f(x) = -4 lxl after it is translated 3 units down?
A.g(x) = -4 lxl + 3
B. g(x) = -4 lxl - 3
C. g(x) = -4 lx + 3|
D. g(x) = -4 lx - 3l
Answer:
B
Step-by-step explanation:
When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.
We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.
Answer B.