Answer: 165.78 < μ < 180.22
Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.
A confidence interval is calculated as
x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]
z is z-score for 99% confidence, which is: z = 2.58
Then, the estimate is
173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]
173 ± 2.58*2.8
173 ± 7.224
lower limit: 173 - 7.224 = 165.78
upper limit: 173 + 7.224 = 180.22
The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.
Simplify the Expression(20 points)-
-m - 7m
Answer:
-8m
Step-by-step explanation:
Combine like terms
−
−
7
{\color{#c92786}{-m}}{\color{#c92786}{-7m}}
−m−7m
−
8
{\color{#c92786}{-8m}}
−8m
I need help answering that I’m lost and it’s a 3 step problem
1. Sherrys age is nine less than six times Fred's age. Write an equation and find Sherrys age if Fred is ten years old.
2. A bicycle was originally priced at $102 and is on sale for 30% off. What is the discounted price?
Answer:
1. x= 10x6-9 Sherry is 51 apparently
2. $71.40
Step-by-step explanation:
(29-(-7):
= =a
Look at picture
Answer:
Four
Step-by-step explanation:
29 plus 7 = 36 divided by 4= 9
Peter is calculating the interest earned on a
deposit of $275 in an account that earns 8%
simple interest after 12 years.
Answer:
a) He substituted 0.8 instead of 0.08.
b) $264
Step-by-step explanation:
The full question is: a. What did Peter do incorrectly? b. What is the correct amount of interest?Using the equation [tex]I=prt[/tex], we can substitute the given values.I = 275 x 0.08 x 12I = 264What is 2x2 plus 3 times y and it equals b?
Answer: The answer is 7-b=-y
Step-by-step explanation: You subtract b from one side to the other, and then do the same with y
write in slope-intercept form 3x-9=7y+8
Answer:
y = 3 /7 x − 17 /7
Step-by-step explanation:
Which number is a solution of the inequality? 8
Answer:
i need more info or i cannot help
Answer: -1
Step-by-step explanation:Solve: 8(7−x)<64.Divide both sides by 8.7−x<6487−x<8Subtract 7 from both sides.−x<8−7−x<1Multiply both sides by −1. This will reverse the inequality.x>−1
a contracter charges 1,200 for 1,100 square feet installed? It costs$ to have 1,100 feet
Answer:
$1,200
Step-by-step explanation:
Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.
Answer:
[tex]a = -6, b = - 8[/tex]
Remaining factor = [tex]x+4[/tex]
Step-by-step explanation:
Given that:
Two polynomials:
[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]
[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].
To find:
The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.
Solution:
Let us first of all, factorize [tex]x^{2} -x-2[/tex].
[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]
There are two factors of the given quadratic equation.
These two factors must also be factors of the cubic equation as well.
Putting [tex]x = 2[/tex]:
[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]
Putting [tex]x = -1[/tex]:
[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]
Subtracting (2) from (1):
[tex]3a = -18\\\Rightarrow a = -6[/tex]
From equation (1):
[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]
Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:
[tex]x^3 +3 x^2 -6x -8[/tex]
Dividing the cubic equation with quadratic, we get:
[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]
What is the value of the expression below?
Answer:
-19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
3² + (9 - 16)(4)
Step 2: Evaluate
Exponents: 9 + (9 - 16)(4)(Parenthesis) Subtract: 9 + (-7)(4)Multiply: 9 - 28Subtract: -19Answer:
Step-by-step explanation:
BODMAS=bracket
O=of
D=division
M=multiplication
A=addition
S=subtraction
3*3=9
9+(9-16)(4)
9+(7)(4)
9-28
-19
Find the unit rate
a. 5 movie tickets for $25.00
b. mowed 5 yards for $35.00
c. 6 calculators cost $240.00
d. 8 dollars for 2 cans of tuna
Answer:
A. $5
B. $7
C. $40
D. $4
Step-by-step explanation:
To find the unit rate, you need to divide the cost by the amount.
A. $25/5 = $5 for a movie ticket
B. $35/5 = $7 for one yard
C. $240/6 = $40 for a calculator
D. $8/2 = $4 for a can of tuna
A jar contains 42 red marbles numbered 1 to 42 and 36 blue marbles numbered 1 to 36. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions. (a) The marble is red. P(red)= Correct (b) The marble is odd-numbered. P(odd)= Correct (c) The marble is red or odd-numbered. P(red or odd) = Incorrect (d) The marble is blue or even-numbered. P(blue or even) =
Answer: See explanation
Step-by-step explanation:
Number of red marbles = 42
Number of blue marbles = 36
Total number of marbles = 42 + 36 = 78
There are 21 odd numbers between 1 - 42.
There are 18 odd numbers between 1 - 36.
(a) Probability that the marble is red will be:
P(red)= 42 / 78 = 7 / 13
(b) Probability that the marble is odd-numbered will be:
= 39 / 78 = 1/2
(c) Probability that the marble is red or odd-numbered will be:
P(red or odd) = P(red) + p(odd) - P(odd and red)
= (42/78) + (39/78) - (21/78)
= 60/78
= 10/13
(d) Probability that the marble is blue or even-numbered.
= P(blue) + P(even) - P(blue and even)
= 36/78 + 39/78 - 18/78
= 57/78
= 19/26
What is 5[cos(Pi/4) + I sin (pi/4)] raised to the 3rd power?
Answer: The answer is C on edge
Step-by-step explanation:
A feather fell from a bird's nest in a tree from a height of 25 feet. The leaf fell at a speed of 3 feet per second. Choose all the equations below that correctly describes the relationship between t, the time in seconds, and h, the feathers height in feet?
A) h=25-3t
B) h=3t-25
C) h=-3t-25
D) h+3t=25
Answer:
A and C
Step-by-step explanation:
Please help and give details :)
7x+4y-28=0 is the answer
Samantha created part of a table to show her savings. She saved at the same rate each week. Which graph shows this relationship?
Answer:
The answer is B
Step-by-step explanation:
because it is going up by 6 so graph B is the only graph going up by 6.
The correct graph is with $6, $12, $18, $24.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
As, from the given graph
The saving increases each week at the same rate therefore saving increases from 3rd to 4th week is 6$. this means that saving increases $6 each week.
Hence, option to is correct with $6, $12, $18, $24.
Learn more about graph here:
https://brainly.com/question/17267403
#SPJ6
Write the expanded form of the expression
r(−3−5t)
Which point below is a solution to the equation y = 2x + 3?
A (145, 291)
B (78, 163)
C (37, 77)
Answer:
C (37, 77)
Step-by-step explanation:
Option A:[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]
Option A is not a solution.
Option B:[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]
Option B is not a solution.
Option C:[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]
Option C is a solution.
Hope this helps.
Answer:
C
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution
A (145, 291 )
y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution
B (78, 163 )
y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution
C (37, 77 )
y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation
SOMEONE HELP PLZ!!!!!!
Answer:b
Step-by-step explanation:
HELP!! (20-30 points) and brainlist
Answer:
82.8
Step-by-step explanation:
Formula
multiply the length value by 36
Which ordered pair does NOT represent a point located in IV Quadrant ?
A (0.001, -0.001)
B (0, -5)
C (0.5, -8.75)
D (9, 999, -9, 999)
Answer:
B
Step-by-step explanation:
If a point is on the line of origin it doesn't count as being in any quadrant.
please i need this done in an hour
i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year
Complete question :
i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year
Answer:
100 + v
Step-by-step explanation:
Given that:
Interest yearly = v%
Amount deposited = principal = $100
Amount earned at the end of the year:
A = P(1 + rt)
A = 100(1 + 0.01v)
A = 100 + v
Where A = final amount
Final amount at the end of the year = 100 + v
Math question can you please help and can you breakdown how you got your answer
Answer:
8
Step-by-step explanation:
AB=DC
BC=AD
BA=CD
CB=DA
a force of 12N acts for 5 s on a mass of 2 kg. What is the change in momentum of a mass of 10kg under the same condition
Answer:
The change in momentum is: 60 N.s
Step-by-step explanation:
By Newton's second law:
F = ∆p / ∆t
Given that
∆t = 5sF = 12NUsing the formula to determine the change in momentum
F = ∆p / ∆t
∆p = F × ∆t
= 12 × 5
= 60 N.s
Therefore, the change in momentum is: 60 N.s
z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32
George earns commission as a percentage of his tuxedo sales. On Tuesday, he sold $750 worth of tuxedos and earned $60
commission. What is George's commission rate?
Answer:
8%
Step-by-step explanation:
1% of 750 is 7.50
So 60 divided by 7.5 is 8
what is
4.1 - 1.25 over 0.005
Answer:
Step-by-step explanation:
4.1-1.25=2.85
lets divide
2.85/0.005=570
Answer:
2.85/0.005=570
Step-by-step explanation:
Hope this helped have an amazing day!
An athlete runs 8 miles in 50 minutes on a treadmill at this rate how long will it take the athlete to run 9 miles
Answer:
56.25 minutes
Step-by-step explanation:
1 mile is 6.25 minutes
9 miles is _____?
6.25 minutes x 9 miles =
56.25 minutes
Find Unit Rate to help solve
Hope this helps :)