Answer: The required sample size = 97
Step-by-step explanation:
If prior population standard deviation is known, then the minimum sample size can be computed as:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex]
,where z* = critical z-value
[tex]\sigma[/tex] = population standard deviation
E = Margin of error
As per given,
[tex]\sigma=20,\ E= 4[/tex]
Critical value for 95% confidence = 1.96
[tex]n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97[/tex]
Hence, the required sample size = 97
Evaluate f(x)= 4x-2 when x= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = -2, then substitute it into the given equation}[/tex].
[tex]\large\textsf{f(x) = 4(-2) - 2}[/tex]
[tex]\large\textsf{y = 4(-2) - 2}[/tex]
[tex]\large\textsf{4(-2) = \boxed{\bf -8}}[/tex]
[tex]\large\textsf{y = -8 - 2}[/tex]
[tex]\large\textsf{-8 - 2 = \boxed{\bf -10}}[/tex]
[tex]\boxed{{\large\text{y = \bf -10}}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf y = -10}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\quad\quad\quad\quad \tt{f(x) = 4x - 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = 4( - 2)- 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = ( - 8)- 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = - 10}[/tex]
Hence, the answer is -10.[tex]\quad\quad\quad\quad\boxed {\tt{\color{green}f( - 2) = - 10}}[/tex]
__________
#LetsStudy
Can yah help me with those two question please
:(
Solution 1 :-
Statement : corresponding angles in similar triangles must be congruent .
Answer : True
Solution 2 :-
Statement : The hypotenuse of a right angle triangle has to be opposite of 90 degree .
Answer : True
Reason : We know that the side opposite to largest angle in a triangle is largest . Since in a right angle triangle 90 degree is the largest angle and hypotenuse is the longest side therefore they must be opposite to each other .
solve the equation
2/3 x (−4/5)
Answer:
below is correct
Step-by-step explanation:
WILL GIVE BRAINLIST
MATH
CONVERT EACH MEASUREMENT
25FT TO YARDS
SHOW STEPS ALL HOW YOU GOT THE ANSWER
Answer:
8.333... Yards.
Step-by-step explanation:
To convert feet to yards, divide the feet by 3.
[tex]\frac{25}{3} = \frac{25}{3}/8.333...[/tex]
To check work
Multiply 8.333... by 3.
8.333 · 3 = 24.999...
It Is Not Exactly 25 Because The 3 Is Infinite But It Is Enough To Prove Your Answer.
Plz help me I mark you brainlylist and give point
Answer:
Step-by-step explanation:
part a ) Triangular prism
part b) 6
In ΔDEF, the measure of ∠F=90°, DF = 3, ED = 5, and FE = 4. What is the value of the tangent of ∠E to the nearest hundredth?
Answer:0.75
Step-by-step explanation:
trust me
factorise 4a-6ab-18ac
Answer:
Step-by-step explanation:
4a-6ab-18ac
=2a(2-3b-9c)
The required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
What is factorisation?In mathematics, factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given equation is,
4a-6ab-18ac
So factorising each term we have,
4a = 2*2*a
6ab = 2*3*a*b
18ac = 2*3*3*a*c
Thus the equation becomes,
4a-6ab-18ac = 2*2*a - 2*3*a*b - 2*3*3*a*c
taking 2*a common we get,
4a-6ab-18ac = 2a(2 - 3b - 3*3*c)
or, 4a-6ab-18ac = 2a(2 - 3b - 9c)
which is the the required factorisation of the equation.
Thus, the required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
To learn more about factorisation:
https://brainly.com/question/20293447
#SPJ2
Simplify using order of operations.
Answer:
64 ÷ 16 = 4
Step-by-step explanation:
Using PEMDAS, you first do the parenthesis, which equals 64. Then you do the exponents, which 4² equals 16. Then you divide 64 by 16, which equals 4.
An ice-cream shop uses 1/6 box of waffle cones each day they are open. The shop is open 5 days a week. Which equation shows the amount of a box of waffle cones the ice-cream shop uses in a week?
Answer:
5/6
Step-by-step explanation:
1/6 x 5=5/6
I need the answer fast pls
Find x if x : 10 = 10 : x
A) 10 B) 20 C) 16
Answer:
10 is the correct answer
Answer:
A) 10
Step-by-step explanation:
given,
x:10=10:x
x/10=10/xx²=100x=√100x=10hope it helps.
stay safe healthy and happy.Evaluate this expression
4cd
if
C = -4 and d = 3
Answer:
-48
Step-by-step explanation:
4(-4)(3)
-16(3)
-48
Answer:
4(-4) (3)
Step-by-step explanation:
put that in your calccalculator:)
Make congruent angles. Write down the ratios.
Answer:
Ratio=BG/RT=RA/BA=TA/AG
Step-by-step explanation:
PLS HELP 30 POINTS
If the dimensions of the following cylinder are tripled, what factor will the volume change by?
81
27
3
9
Answer: 27
Step-by-step explanation:
this is adding and subtracting of like and unlike terms
ab+bc=
Answer:
b(a+c) this is answer okay
Answer:
Step-by-step explanation:
ab+bc
b(a+b)
u can add two term only if they have same base.
320% of 69 is what number?
Answer:
220.8
Step-by-step explanation:
I believe 220.8
sorry if I am wrong.
Answer:
320×69÷100
answer * number is 220
Turkey costs $3.38 per pound. If you buy 2.5 pounds of turkey what is the cost of the turkey?
Answer: $8.45
Step-by-step explanation:
Please help me answer the question
2(x + _) = 2x + 10 Using the distributive property, what number would go in the blank in order for the given statement to be correct?
Answer:
10
Step-by-step explanation:
2
Answer:
2(x + 5) = 2x + 10
Step-by-step explanation:
2(x + A) = 2x + 10
2x + 2A = 2x + 10
Equating constant terms on both sides :
2A = 10
A = 5
Therefore , 2(x + 5) = 2x + 10
Helppppppppppppppp meeeeeeeeee
Answer: the forth one
Step-by-step explanation:
10 points will give brainliest
Answer:
A. 9/2 × 3/8
Step-by-step explanation:
______________
Identify each triangle based on angles. (Acute, Obtuse or Right)please I don’t understand this
Answer:
45
Step-by-step explanation:
Answer:
2. right
3.obtuse
hope this helps
have a good day :)
Step-by-step explanation:
Guys help me I need to write a function rule but the equation format is mx+b
Answer:
y = 4x + 4
Step-by-step explanation:
2 points:
(-1, 0) and (0, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-0)/(0+1)
m= 4/1
m= 4
Slope-intercept:
y - y1 = m(x - x1)
y - 0 = 4(x + 1)
y = 4x + 4
PLZ HELP Which of the following is a true statement?
A. Total Liabilities − Total Assets = Net Worth
B. Total Assets − Total Liabilities = Net Worth
C. Total Assets + Total Liabilities = Net Worth
D. None of these are true.
Answer:
B
Step-by-step explanation: Net worth is the total assets minus total liabilities of an individual or entity.
10 points! If correct you get brainliest.
Which one's apply?
Answer:
The answer is C and E
Step-by-step explanation:
Give m = -1/2 and n = -1/3 which statement is true?
Answer:
n
Step-by-step explanation:
5th grade work helpp
Answer:
C: 31
Step-by-step explanation:
15 x 15 = 225
16 x 16 = 256
256 - 225 = 31
Answer:
C) 31
Step-by-step explanation:
15 x 15 = 225
16 x 16 = 256
256 - 225 = 31
Please help!!!! I need this to pass my classs
Answer:
a. Maximum
b. (-1, 4)
c. -3, 1
d. x = -1
Step-by-step explanation:
a. There is a maximum value of the function (highest point) because the parabola opens downward.
b. The vertex is the turning point--the point where the maximum is.
c. The roots (or "zeros") are the values of x where the curve intersects the x-axis
d. The axis of symmetry is a vertical line which passes through the vertex.
Joey's sock drawer is unorganized and contains 7 black dress socks, 3 black ankle socks, 2 brown dress socks, and 4 brown ankle socks. What is the
probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock
Answer:
%37.5
Step-by-step explanation:
Compare using >, <, or =.
11 yards
51 feet
Answer:
11 yards is 33 feet
11 yards < 51 feet