Answers
Explanation
G(1)=-1-5
G(1)=-6
Related Questions
How to solve -2(x+2)^2=5 using the square root method.
Answers
1. The following sets of data shows the mean marks of 43 interviewees from a certain job interview that was conducted by a HR Consulting Firm in Mombasa: 23, 45, 79, 15, 47, 64, 33, 26, 34, 46, 31, 29, 49, 25, 45, 43, 39, 45, 22, 26, 28, 36, 42 Using the concept of sampling distribution, what sample size will give at least a 0.95 probability that the sample mean is greater than $8 of the population mean?
Answers
Using the Central Limit Theorem, it is found that a sample size of 13 is needed.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For this problem, using a calculator:
The mean is [tex]\mu = 37.9[/tex]The standard deviation is [tex]\sigma = 14.07[/tex]The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 14.07[/tex]
[tex]\sqrt{n} = \frac{14.07}{4}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]
[tex]n = 12.37[/tex]
Rounding up, a sample size of 13 is needed.
A similar problem is given at https://brainly.com/question/24663213
when randy started his job he earned $8.00 per hour now he makes $450 for working a 40-hour week how much more does he earn per hour than he did when he started
Answers
Answer:
3.25?
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
He now earns:
450/40 = 11.25 dollars per hour.
So he gets 11.25 - 8
= 3.25 dollars more.
Mr. Darson bought 6 boxes of nails from a shop. Each box had an equal number of nails. He gave 8 nails to each of his 38 students. He then had 26 nails left. Find the number of nails in each box.
Answers
Answer:55 nail boxes
Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304
when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.
to find out the number of nails in eadh box we divide 330/6=55
6.
5. ¿Qué número tiene el mismo
valor que l centena, 7 decenas?
Answers
Answer:
7 Decenas = 70 Unidades espero que te ayude
Step-by-step explanation:
685,327 round to the nearest thousand
Answers
Answer:
685,000
Step-by-step explanation:
Answer:
685327.000
Step-by-step explanation:
NEED HELP ASAP (ILL GIVE BRAINLIST)
Answers
Answer:
the answer is 33 9/11
Step-by-step explanation:
multiply the fractions
.
.
Answer:
33 9/11
Step-by-step explanation:
22 6/11 x 1 1/2
Convert into improper fractions.
248/11 x 3/2
Reduce the numbers with the greatest common factor 2.
124/11 x 3
Calculate
372/11
=33 9/11
Hope this helps :)
pls help. I am not very smart!
Which equation represents this statement?
3 1/3 is the same as the sum of −1/2 times a number and −3
3 1/3+(−1/2)=−3x
3 1/3=−1/2x+(−3)
3 1/3+(−1/2x)=−3
3 1/3=−1/2+(−3x)
Answers
Answer:
3 1/3=−1/2x+(−3)
Step-by-step explanation:
The equation for the given problem can be written as 1/3 = -1/2x + -3. The correct option is (B).
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The statement given in the problem is, " 1/3 is the same as the sum of −1/2 times a number and −3".
Suppose the unknown number be x.
Then, the equation for the given statement can be written as,
1/3 = -1/2x + -3
Hence, the equation that represents the given statement is 1/3 = -1/2x + -3.
To know more about linear equation click on,
https://brainly.com/question/11897796
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Translate the following word phrase into an algebraic expression: Nine times a number y.
Answers
Answer:
9×y
Step-by-step explanation:
the
answer
of
the
given
is 9y
Find the equation for the line that passes through ( – 7,5) that has slope 3.
Answers
y - Y1 = m(x - X1)
y - 5 = 3(x - (-7))
y - 5 = 3(x + 7)
y - 5 = 3x + 21
y - 5 - 3x - 21 = 0
y - 26 - 3x = 0
-3x + y - 26 = 0
please answer it fast .......^-^......
Answers
Answer:
990- YES, YES, NO,YES, YES, NO, YES, YES, YES
1586- YES, NO, NO, NO, NO, NO, NO, NO, NO
275- NO, NO, NO, YES, NO, NO, NO, NO, YES
6686- YES, NO, NO, NO, NO, NO, NO, NO, NO
639210- YES, YES, NO, YES, YES, NO, NO, YES,YES
429714- YES, YES, NO, NO, YES, NO, YES, NO, NO
2856- YES, YES, YES, NO, YES, YES, NO, NO, NO
3060- YES, YES, YES, YES, YES, NO, YES, YES, NO
406839- NO, YES, NO, NO, NO, NO, NO, NO, NO
Step-by-step explanation:
hope this helped<3
find the gradient of a line perpendicular to y=-3/4+6
Answers
Answer:
4/3
Step-by-step explanation:
Assuming your line is intended to be ...
y = -3/4x +6
The slope is the coefficient of x: -3/4.
The slope of a line perpendicular to it is the opposite of the reciprocal of this, so is ...
-1/(-3/4) = 4/3
The gradient of the perpendicular line is 4/3.
PLEASE HELP ME IN THIS, THIS ASSIGNMENT IS DUE IN 4 MINUTES, ITS A 6TH GRADER QUESTION
Answers
Answer:
3
Step-by-step explanation:
jesushhhh
.........
Write the equation of a sine or cosine function to describe the graph.
Answers
Answer:
Step-by-step explanation:
Average = (Ymax + Ymin)/2 = (4 + (- 2))/ 2 = 1
Amplitude = (Ymax - Ymin)/2 = (4 - (- 2))/ 2 = 3
y is at a maximum when x = 0, so cosine function is easy.
one cycle (2π radians) is completed in 2π/3
therefore
y = 1 + 3cos(2π(x /(2π/3))
y = 1 + 3cos(3x)
Answer(s):
[tex]\displaystyle y = 3sin\:(3x + \frac{\pi}{2}) + 1 \\ y = 3cos\:3x + 1[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{6}} \hookrightarrow \frac{-\frac{\pi}{2}}{3} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 3[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 3[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:3x + 1,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{6}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{6}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{6}} = \frac{-\frac{\pi}{2}}{3}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(3x + \frac{\pi}{2}) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{2}{9}\pi, -\frac{1}{2}],[/tex]from there to [tex]\displaystyle [\frac{4}{9}\pi, -\frac{1}{2}],[/tex]they are obviously [tex]\displaystyle \frac{2}{3}\pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \frac{2}{3}\pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Help plz I don’t understand how to do this math below
Answers
Find the angle measures. Justify your responses.
m
a
21
34
b
65
7/8
Given: a 1b, m_2=3x +20°,
m27=2x -10°
Find: m3, m26
mZ3 =
=
m26=
=
Answers
Answer:
m∠3 = 2x - 10° and m∠6 = 3x + 20
m∠3 = 58° ; m ∠6 = 122°
Step-by-step explanation:
a ║ b
m∠2 = m∠6 If ║ cut by a transversal, then corresponding angles
are ≅ and =
m∠7 = m∠3 If ║ cut by a transversal, then corresponding angles
are ≅ and =
m∠2 = 3x + 20 Given
m∠7 = 2x - 10 Given
m∠6 + m∠3 = 180° If ║ cut by a transversal, then each pair of same-side
interior angles (also called consecutive interior angles
are supplementary (sum = 180°) .
3x + 20 + 2x - 10 = 180°
5x + 10 = 180°
5x = 170°
x = 34°
Answer: m∠3 = 2x - 10° and m∠6 = 3x + 20
m∠3 = 2(34) - 10 ; m∠6 = 3(34) + 20
m∠3 = 58° ; m ∠6 = 122°
Find the lines of symmetry. Select all that apply. Thank you!
Answers
Answer:
l and n
Step-by-step explanation:
What is the value of w in the equation? 7w + 4 = 16 + 9 A.7 B.25 C.3 D.21
Answers
Answer: C
Step-by-step explanation:
16+9=25 so 25-4 is 21 and 7 times 3 is 21. This means that 7(3) + 4 is 25
hello is anyone on here please helpGive possible values for the measures of angles and if is an acute triangle.
Answers
Answer:
Step-by-step explanation:
An acute triangle is a triangle in which all three angles measure less than 90 degrees. If any angle measures 90 or more degrees, we no longer have an acute triangle.
Find x, y, and z such that x³+y³+z³
Answers
Answer:
x= -y-z
y= -x-z
z= -x-y
i think this is it
Answer:
complete the question pls
Step-by-step explanation:
Which of the following describes a similarity between a solid and a gas
Answers
Answer:
they are both states of matterthey are both made up of atoms, molecules and ionsthey both have volumethe length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?
Answers
Check the picture below.
Step-by-step explanation:
let's say a is length, and b is width:
a = 10 + b
after this, we can write:
2(a + b) = 72
2(10 + b + b) = 72
2(10 + 2b) = 72
20 + 4b = 72
4b = 72 - 20
4b = 52
b = 52 ÷ 4
b = 13
if b = 13, then a = 10 + b = 10 + 13 = 23
so: a = 23 and b = 13
2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).
Answers
a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.
Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.
b. Let n be even, so that n = 2k for some integer k. Then
n² = (2k)² = 4k²
so that n² ≡ 0 (mod 4).
Now let n be odd, so n = 2k + 1 for integer k. Then
n² = (2k + 1)² = 4k² + 4k + 1
so that n² ≡ 1 (mod 4).
Therefore n² is never congruent to 2 (mod 4).
What is the answer to :
2x (4+3) -5 x [4-(9-7)]
??
Answers
Answer:
8×+6×-5×{2}
8×+6×-10×
14×-10×
4×
calculation: 2x(4+3)-5x[4-(9-7)]
2x × 7-5x [4-(9-7)]
14x - 5x [4-(9-7)]
14x - 5x [2]
14x -5x × 2
14x - 10x
4x
A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.
A. 5.5%
B. 5.6%
C. 5.7%
D. 5.8%
Get 50 points for an answer and brainlyiest for explination
Answers
Answer:
B
Step-by-step explanation:
Can someone Please answer this question fast?
Answers
Answer:
It is impossible to convert in square form.
I make $20 an hour but I love 30% to taxes. How much do I take home each hour after taxes?
Answers
Answer:
$14
Step-by-step explanation:
We can make an equation
30%. . . . . .X
--------- = ---------
100. . . . . . .20
Now we cross multiply
100x = 600
x = 6
Now we subtract to find how much we will take home.
20 - 6 = $14 every hour will be made
Help help hekpngelpnheopbh kobgelp
Answers
Answer:
5
Step-by-step explanation:
3+2=5
x=3
What is the next number in the pattern
8.72, 8.52, 8.32 …
Answers
Answer:
3333
Step-by-step explanation:
3333
Answer:
8.12
Step-by-step explanation:
Because 0.20 is reduced after each number
8.72-0.20= 8.52
8.52-0.20=8.32
8.32-0.20=8.12
Which expression is equivalent to this polynomial expression?
(5ry2 + 3x2 – 7) + (3.272 – 142 + 3y2 + 4)
Answers
Answer:
Step-by-step explanation:
the answer is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps