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.
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!
Write the expanded form of the expression
r(−3−5t)
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]
please i need this done in an hour
write in slope-intercept form 3x-9=7y+8
Answer:
y = 3 /7 x − 17 /7
Step-by-step explanation:
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
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
SOMEONE HELP PLZ!!!!!!
Answer:b
Step-by-step explanation:
What 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
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
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:
(29-(-7):
= =a
Look at picture
Answer:
Four
Step-by-step explanation:
29 plus 7 = 36 divided by 4= 9
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
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) $264
Step-by-step explanation:
The full question is: a. What did Peter do incorrectly? b. What is the correct amount of interest?Using the equation [tex]I=prt[/tex], we can substitute the given values.I = 275 x 0.08 x 12I = 264a contracter charges 1,200 for 1,100 square feet installed? It costs$ to have 1,100 feet
Answer:
$1,200
Step-by-step explanation:
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
HELP!! (20-30 points) and brainlist
Answer:
82.8
Step-by-step explanation:
Formula
multiply the length value by 36
I need help answering that I’m lost and it’s a 3 step problem
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
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
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 :)
Please help and give details :)
7x+4y-28=0 is the answer
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.
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
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
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:
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
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:
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
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