Answer:
The graph of function g is the graph of function f shifted 6 units up.
Step-by-step explanation:
Given
[tex]f(x) = 2^x[/tex]
[tex]g(x) =2^x + 6[/tex]
Required
Compare g(x) to f(x)
Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]
[tex]g(x) = f(x) + 6[/tex]
This implies that f(x) is shifted 6 units upward to give g(x)
A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam. Which hypothesis is used to test the claim?
A. H_0: μ < = 3 vs. H_1: μ > 3
B. H_0: μ = 3 vs. H_1: μ ≠ 3
C. H_0: μ ≠ 3 vs. H_1: μ = 3
D. H_0: μ > = 3 vs. H_1: μ < 3
Answer:
D. H_0: μ > = 3 vs. H_1: μ < 3
Step-by-step explanation:
A professor of statistics at NCSU refutes the claim that the average student spends 3 hours studying for the midterm exam.
The claim is that the average student spends 3 hours studying, so the null hypothesis is that the mean is at least 3, that is:
[tex]H_0: \mu \geq 3[/tex]
At the alternative hypothesis, we test if the mean is less than 3, so:
[tex]H_1: \mu < 3[/tex]
This means that the correct answer is given by option D.
Which unit of measure would be appropriate for the area of a picture that is
20 centimeters tall and 15 centimeters wide?
A. Meters
B. Cubic centimeters
C. Square centimeters
D. Centimeters
Answer:
C: Square centimeters
Step-by-step explanation:
We are measuring length here, not volume, so recognize that this fact eliminates Answer B. The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C: Square centimeters.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP I WILL GIVE BRAINLIEST
need help again thank you
<3
a.
Answer:
240 cm^3
b.
Answer:
208cm^2
58% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
a) P(5)=
(b) P(x≥6)=
(c) P(x<4)=
Answer:
.216165788
.582225057
.417774943
Step-by-step explanation:
We need to use a binomial distribution here
A.
10C5*.58⁵*(1-.58)⁵= .216165788
B.
I honestly think the fastest way to solve this is adding the probabiblity of exactly 6,7,8,9,10
which means we write
10C6*.58⁶*(1-.58)⁴+10C7*.58⁷*(1-.58)³+10C8*.58⁸*(1-.58)²+10C9*.58⁹*(1-.58)+10C10*.58¹⁰= .582225057
C.
To solve this just take the compliment of answer B
1-.582225057= .417774943
10)
X + 80
700
B) 8
A) 5
C) -10
D) 7
I
Answer:
x+80=70°(exterior alternate angles)
x=70-80
x=-10
A committee must be formed with 2 teachers and 6 students. If there are 7 teachers to
choose from, and 15 students, how many different ways could the committee be
made?
Answer:
combination
Step-by-step explanation:
solution :
6C2 + 15C7
=6,450
Question 1 Multiple Choice Worth 5 points)
(03.08 LC)
What percentage of grocery store purchases are not planned purchases?
60%
20%
40%
10%
Answer:
60%
Step-by-step explanation:
is it FLVS right?
i hope this is right
enjoy
Jeff says the figure below is a rhombus. Is he correct? *
Answer:
yes it is
Step-by-step explanation:
it is quadrilateral
Answer:
yes
Step-by-step explanation:
just look up rhombus and then look at the pictures
một hộp đựng 11 tấm thẻ được đánh số từ 1 đến 11. tính số cách lấy ra 4 tấm thẻ từ hộp đó để tổng các số ghi trên 4 tấm thẻ ấy là một số lẻ
Answer:
16/33
Step-by-step explanation:
Tổng của cả 4 tấm thẻ là một số lẻ khi:
Có 1 thẻ là lẻ, 3 thẻ còn lại là chẵn, có: 6C1.5C3=60 cách
Có 3 thẻ là lẻ, 1 thẻ là chẵn, có: 5C1.6C3=100 cách
Suy ra có 160/11C4=16/33 cách
HELP‼️⚠️‼️⚠️‼️⚠️‼️⚠️‼️
Which polynomial is prime?
O 3x^3+3x^2-2x-2
O 3x^3-2x^2+3x-4
O 4x^3+2x^2+6x+3
O 4x^3+4x^2-3x-3
Answer:
There is either No Answer or
B See if the computer or your maker will take B, but the real answer is that there is no answer.
Step-by-step explanation:
Prime polynomials cannot be factored.
x^2 + 4 can't be factored.
x^2 - 4 can be factored and is not prime
x^2 - 4 = (x + 2)(x - 2)
A) is not prime
3x^2(x + 1) - 2(x + 1) x + 1 is a common factor
(3x^2 - 2)(x + 1)
B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.
C) 3x^2(x + 1) - 2(x + 1) x + 1 is a common factor. C is not the answer.
D D is done the same way that A and C are done.
4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.
So the answer might be B. It doesn't look like it factors the same way as the other three
Answer: D. 2x4+x3–x+2 is prime
Step-by-step explanation:
A prime polynomial is a polynomial that can't be factored. Hope I helped
2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the regression equation :
y = 31.6 + 10.9x
x = the number of years of study ;
y = the grade on the test.
The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test
The predictor variable is x, which is the independent variable, which is the number of years of study.
From. The regression output given ;
The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9
The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)
Mia cut a piece of felt into 3 equal
sections. She used 1 section for an art project. What fraction of the felt did Mia use for the art
project?
(1 Point)
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.
help me please with these questions
Answer:
17) option b
18) option b
19) option d
Step-by-step explanation:
17)
Cost of 25 burgers = $75
Therefore , cost of 1 burger:
[tex]\frac{75}{25} = 3[/tex]
18)
Area of rectangle = length x breadth
[tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]
19)
14.25
x 6.3
_________
4275
+ 8550
__________
89.775
___________
40 POINTS! Match each set of vertices with the type of triangle they form.
Answer:
#1 ((2, 0), (3, 2), (5, 1)) = right isoceles triangle ✔️
#2 ((4, 2), (6, 2), (5, 3.73)) = acute isosceles triangle ❌
so it is not part of graph
#3 ((-5, 2), (-4, 4), (-2, 2)) = Acute scalene triangle ✔️
#4 ((-3, 1), (-3, 4), (-1, 1)) = Right scalene triangle (or right triangle)✔️
#5 ((-4, 2), (-2, 4), (-1, 4)) = Obtuse scalene triangle ✔️
Step-by-step explanation:
the triangles are correct
Answer:
(2,0), B(3,2),C(5,1) is isosceles right angel
(-5,2), B(-4,4), C(-2,2) acute scalene triangle
(-3,1), B(-3,4), C(-1,1) right angel
(-4,2), B9-2,4), C(-1,4) obtuse scalene triangle
Step-by-step explanation:
What is the scale factor from Figure A to Figure B? (Please help)
Answer:
3
Step-by-step explanation:
You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
B. 489.8 ft²
Step-by-step explanation:
Lateral surface of the cylinder = 2πrh
Where,
radius (r) = 6 ft
height (h) = 13 ft
Let π = 3.14
Plug in the values into the formula
Lateral surface of the cylinder = 2*3.14*6*13
Lateral surface of the cylinder = 489.8 ft²
Find the value of unknown figure plz tell i will mark as brainliest
Answer:
1. [tex]2^{3}[/tex] x [tex]3^{6}[/tex]
ii. 18
b. -12
2. nth = a + (n - 1)d
ii. k = 103
3. [tex]x^{o}[/tex] = [tex]27^{o}[/tex]
4. Volume = 25.025 [tex]m^{3}[/tex]
Step-by-step explanation:
1. Prime factors of 5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3
= [tex]2^{3}[/tex] x [tex]3^{6}[/tex]
ii. [tex]\sqrt[3]{5832}[/tex] = 18
b. 2[tex]a^{2}[/tex] - 3[tex]b^{2}[/tex] + 3abc
a = 3, b = 2, c = -1
Thus,
2[tex](3)^{2}[/tex] - 3[tex](2)^{2}[/tex] + 3(3 x 2 x -1)
= 18 - 12 - 18
= -12
2. The required formula is;
nth = a + (n - 1)d
where: a is the first term, n is the number of terms in the sequence and d is the common difference.
b. kth term = 304, then
304 = -2 + (k - 1) 3
= -2 + 3k -3
= 3k - 5
3k = 304 + 5
3k = 309
k = [tex]\frac{309}{3}[/tex]
= 103
k = 103
3. Comparing <DAB and < EBC;
<DAB ≅ <EBC = [tex]x^{o}[/tex]
<BEC = [tex]90^{o}[/tex] (right angle property)
<C = [tex]63^{o}[/tex]
Thus,
<B + <C + <E = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]x^{o}[/tex] + [tex]63^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + 153 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] = 180 - 153
= 27
[tex]x^{o}[/tex] = [tex]27^{o}[/tex]
4. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h is the height of the cylinder.
Diameter = 3.5 m, h = 2.6 m
r = [tex]\frac{3.5}{2}[/tex]
r = [tex]\frac{7}{4}[/tex] m
So that,
Volume = [tex]\frac{22}{7}[/tex] x [tex](\frac{7}{4}) ^{2}[/tex] x 2.6
= [tex]\frac{22}{7}[/tex] x [tex]\frac{49}{16}[/tex] x [tex]\frac{13}{5}[/tex]
= 25[tex]\frac{1}{40}[/tex]
Volume = 25.025 [tex]m^{3}[/tex]
the following data represent the number of people aged 25-64 years covered by health insurance (private or government) in 2018. approximate the mean and standard deviation
Answer:
mean = find the total of people in such data by adding up all the totals of people represented by each age then divide that total by 2.
mean = with cumulative or frequency graphs if the numbers range individually like 25-30 and 30-35 etc and so on then you take the midpoint age and multiply it by the frequency number in new column add up both columns then divide by smaller total.
mean = histogram total number of data ie) from 270 people (80 x 0 = 0), (40 x 2 = 0) and so on multiplying the frequency. then add them all up in new column ie) 380 among 270 people = 1.4
mode = histogram highest box
median = histogram add up all data number divided by 2 and can draw this on graph as they sort of are in order ie) 15 to the left and 15 to the right
To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's
n = number of scores ie) = 50
Ex = then sum of x = would be the collective total ie) = 270
m = 270/50 = 5.4
Ex^2 = 270 x 270 = 72900 (the square of the total population)
SS = Sum of squares = 72,900 - ( 270^2 / 50) are all the variables.
is the formula = 71,442
the root of SS -1
S^2 = 270 / (50 -1) = 270/49 = 5.51
S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.
Standard Deviation on data example here shown is;
S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662 from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.
Just retrace and where 270 is change for total
Where 50 is put 64-25 = 39
and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.
As your very last formula is S = SS/n-1
Step-by-step explanation:
Need Help ASAP!!!!!!!!
Answer:
The last one the one with (-6,00) and Range (5,00)
zodwa needs R450550.00 to buy a house, the bank approved her loan for the full amount at an interest rate of 25% per year, compounded quarterly, the loan must be paid off in ten years time. determine the size of zodwas quarterly payments?
Answer:
I'll setup the problem and leave the computation to you
Step-by-step explanation:
The equation to calculate fixed payments
[tex]P = \frac{r(PV)}{1- {(1 + r)}^{ - n} } [/tex]
P= payments
r = interest rate for the period (which is a quarter )
PV = present value (or the amount borrowed)
n = number of periods
r = .25/4 (4 months = quarter of a year)
n = 4*10
PV = R450550.00
if you have questions, put them in the comment
(7x-2)-(x-9) {Pls Simplify this}
Answer:
6x + 7
Step-by-step explanation:
(7x - 2) - (x - 9)
7x - 2 - x + 9
6x + 7
I’ll mark brainliest
Answer:
B
Step-by-step explanation:
they said 2 hours for each final
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answer:
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Step-by-step explanation:
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Which of the following is true about the US federal government’s ability to borrow money
Select all the possible names for the following angle
Answer:
The answers are options d and e
If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).
Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9Combine like terms: (f + g)(x) = 5x + 3A store manager can spend at most $1,000 a day for operating costs and payroll. It costs $100 each day to operate the store and $30 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at MOST.
30x + 100 < 1000
A. X > 30
B. X > 33
C. X < 33
D. X < 30
Answer:
x < 30
Step-by-step explanation:
Given the inequality expression that denotes the statement as;
30x+100 < 1000
Subtract 100 from both sides
30x + 100 - 100 <1000 - 100
30x < 900
Divide both sides by 30
30x/30 < 900/30
x < 30
Hence the required solution is x < 30
The number of employee the manager can afford a day is x < 30.
The given parameters:
Amount spent a day for operating cost = $1,000The operating cost of the store, = $100 per dayAmount paid to the employee = $30 per dayThe inequality of the number of employee the manager can afford a day is calculated as follows;
30x + 100 < 1000
collect similar terms together;
30x < 1000 - 100
30x < 900
divide both sides of the equation by 30;
[tex]x <\frac{900}{30} \\\\x <30[/tex]
Thus, the number of employee the manager can afford a day is x < 30.
Learn more about solution to inequality here: https://brainly.com/question/24372553
Please helpppp me i
Answer:
y=-15/2 + 3x/4
Step-by-step explanation:
In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?
Answer:
90.5 hours or 90 hours and 30 minutes
Step-by-step explanation:
100-9.5=90.5
