Answer:
115 3/4
Step-by-step explanation:
[tex]\frac{1}{2} * \frac{1}{2}[/tex] Because d=1/2. 1/2*1/2=1/4
C=5 so, C^3=5x5x5
C=125
Next, b=9
Then, you put everything together.
1/4+125-9=125 1/4-9
115 3/4
115 3/4+9 1/4
9. Solve for the variable in 6/18=x/36
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What is 10+10
...........
Answer:
20
Step-by-step explanation:
Help please !
A rectangular paperboard measuring 22 in long and 14 in wide has a semicircle cut out of it, as shown below.
Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
231.07 in^2
Step-by-step explanation:
The radius of the semicircle is 14/2 = 7 in
22x14 - 3.14x(7^2)/2 = 231.07 in^2
Answer: 231.07 m^2
Step-by-step explanation:
Area of the remaining paperboard = Area of the entire paperboard - Area of semicircle
1. area of paperboard = l*b = 22*14 = 308 m^2
2. area of semi circle = 1/2 pi r^2 = 1/2*3.14*49/2
Therefore, area of remaining paperboard = 231.07 m^2
The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.
a.Construct a 90% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.
b.
Construct a 95% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.
c. Construct a 99% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation
Solution :
a). Given :
a = [tex]$0.1$[/tex],
chisquare with the [tex]$0.05$[/tex],
[tex]$df=11$[/tex] is [tex]$4.57$[/tex] (from the chisquare table)
Chisquare with the [tex]$0.95$[/tex], df = [tex]$11$[/tex] is [tex]$19.68$[/tex] (from chisquare table)
So 90% Cl is
[tex]$\left(\frac{v(n-1)\times s}{v19.68}, \frac{v(n-1)\times s}{v4.57}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{19.68}},\frac{\sqrt{11}\times 147.928}{\sqrt{4.57}}$[/tex]
[tex]$=(110.5947,229.5031)$[/tex]
b). Given :
a = [tex]$0.05$[/tex]
Chisquare with [tex]$0.025$[/tex]
df = [tex]$n-1=11$[/tex] is A, [tex]$3.82$[/tex]
Chisquare with [tex]$0.975$[/tex], df = 11 is [tex]$21.92$[/tex]
So, 95% Cl is
[tex]$\left(\frac{v(n-1)\times s}{v21.92}, \frac{v(n-1)\times s}{v3.82}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{21.92}},\frac{\sqrt{11}\times 147.928}{\sqrt{3.82}}$[/tex]
[tex]$=(104.7916,251.0239)$[/tex]
c). Given a = [tex]$0.01$[/tex], chisquare with [tex]$0.005$[/tex], df = [tex]$11$[/tex] is [tex]$2.6$[/tex]
Chisquare with [tex]$0.995$[/tex], df = [tex]$11$[/tex] is [tex]$26.76$[/tex]
So 99% CI is
[tex]$\left(\frac{v(n-1)\times s}{v26.76}, \frac{v(n-1)\times s}{v2.6}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{26.76}},\frac{\sqrt{11}\times 147.928}{\sqrt{2.6}}$[/tex]
[tex]$=(94.84265,304.2706)$[/tex]
The length of a rectangular field is 4 m longer than its breadth. If the perimeter of the field is 44 m calculate:
i) breadth
ii) the area of the field
Step-by-step explanation:
Breadth = 8m
Length = 8m + 4m = 12m
Area of the rectangle = length × breadth, 12m × 8m = 96m square.
Find the slope of the line that passes through (9, 8) and (4, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Step-by-step explanation:
90
Answer:
it's 2/5 (0.4)
Step-by-step explanation:
y-y1
-------
x-x1
8-6
----
9-4
2
--
5 = 2/5 =0.4
how do I find X thanks
Answer:
x = 60
Step-by-step explanation:
By applying mean ratio theorem in the given right triangles ΔABC and ΔBDC,
[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]
BD² = AD × DC
BD² = 36 × 64
BD = [tex]\sqrt{36\times 64}[/tex]
BD = 48
By applying Pythagoras theorem in right triangle ΔADB,
AB² = AD² + BD²
x² = (48)² + (36)²
x² = 3600
x = 60
10x + 4y < 12
8x - 3y > 20
Answer:
I've attached a pic how the graph will look like
Answered by GAUTHMATH
55% of the undergraduates or female. If 2695 women attend the college how many total undergraduates attend the college
Answer:
Step-by-step explanation:
2695f(100/55f)=4900 undergraduates.
Choose which scenario could be represented by the expression $14.99%
a) The cost if you purchase 14 t-shirts at a cost of x dollars each
b) The cost if you purchase x t-shirts at a cost of $14.99 each
C) The sum of 14.99 and x
d) T difference between 14.99 and x
Simplify to create an equivalent expression. 7(2 + 2x) + (x + 2) x 6 =
Answer:
20x + 26
Step-by-step explanation:
Rewrite the equation to make distributing easier:
7(2 + 2x) + (x + 2) x 6
7(2 + 2x) + 6(x + 2)
Distribute the 7 and 6 to each set of parentheses:
14 + 14x + 6x + 12
Add like terms:
20x + 26
So, the equivalent expression is 20x + 26
!!!!!!!!!!!!!!!!!!!nossa
A table of x and y values is shown. what is the ratio of y to x in the table?
Answer:
you didnt add a photo, we cant help you
Step-by-step explanation:
Ann runs 2/5 miles Kim runs 3/4 miles Who ran farther?
Answer:
kim
Step-by-step explanation:
2,5 is smaller
Answer:
Kim
Step-by-step explanation:
Compare them by having the same denominator.
5 x 4 = 20 (Denominator)
4 x 5 = 20 (Denominator)
If the denominator is multipled, the numerator also have to be multipled.
2 x 4 = 8 (Numerator)
3 x 5 = 15 (Numerator)
Ann = 8/20
Kim = 15/20
70PTS HELP ME OUT 2)
Answer:
ABCD is a cyclic quadrilateral in the circle.which sum of two opposite angle is 180
what is h−(−2.22)=−7.851 someone please help me
Answer:
h=-10.071?
Step-by-step explanation:
A form of radium decays exponentially with a half-life of 20 years. This means that 50% will be gone every 20 years. A human can only withstand an exposure of 5 grams of this radium but 150 grams has leaked into the air.
Part A: Write an equation to model the exponential decay of this 150 grams of this form of radium.
Part B: A scientist claims that the area will e safe for humans after 100 years. Do you agree? Verify your answer mathematically and explain why you agree.
the figure below shows a shaded rectangular region inside a large rectangle
(pic)
What is the probability that a point chosen inside the large rectangle is NOT in the shaded region
Answer:
42% i hope its right if not sorry
Step-by-step explanation:
sue has 20 biscuits in a tin
what is the product of 5x2 and(2×2)
Answer:
5 x 2 = 10 2 x 2 = 4
Step-by-step explanation:
5 twice is 10
2 twice is 4
A number of girls bought red, green and black ball pens. Three bought one of each colour. Of the girls who bought two colours, 3 did not buy red,5 not green and 2 not black. The same number of girls bought red only as bought red with other colours. The number bought black only as bought green only. More girls bought red and black but not green than bought black only but more girls bought green only than bought green and black but not red. How many girls were there?
Answer:
a number of girls bought red green yellow is 6
Find the 89th term of the arithmetic sequence 25, 35, 45, ...
Answer:
905
Step-by-step explanation:
arithmetic sequence are in form
a(n)=a(0)+d(n-1)
a(0)=25
common difference: d=35-25=10
a(n)=25+10(n-1)
a(89)=25+10(88)=905
What is the perimeter of the rectangle in the coordinate plane? y 36 units 15 147 38 units 13+ 12+ 65 units 117 O 70 units
Answer:
38 units
Step-by-step explanation:
14 * 2 = 28
5 * 2 = 10
28 + 10 = 38
Mark me as brainliest, I am trying to level up.
The area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring
Answer:
(3x-4) by (3x+2) or (-3x+4) by (-3x-2)
Step-by-step explanation:
To factor 9x^2-6x-8 we want to find the factors of 9 and the factors of -8 that when multiplied in sequence and then added give us -6.
factors of -8:
-8 & 1
8 & -1
-4 & 2
4 & -2
you might also want to remember that these can be flipped, so if you have -8 & 1 you can also have 1 &-8.
factors of 9:
9 & 1
-9 & -1
3 & 3
-3 & -3
So now we just need to find numbers where
a & b are factors of 9 and c & d are factors of -8 and a*c+b*d=-6,
if that is the case then (ax+c)*(bx+d)=9x^2-6x-8
guess: 3 & 3 and -4 & 2
3*(-4) + 3*2=-12 +6 = -6
so one factoring is (3x-4)*(3x+2)
This means that one of the possible dimensions of the blanket is (3x-4) by (3x+2)
guess: -3 & -3 and 4 & -2
(-3)*4+(-3)*(-2)= -12+6 = -6
so another factoring is (-3x+4)*(-3x-2)
So you could also have a blanket with dimensions (-3x+4) by (-3x-2) but this might not make sense to do because, if you input positive numbers for x you will get negative dimensions which in the real world don't exist for a knitted blanket.
p.s sorry for the late response.
PRETTY PLEASE HELP ME! this is 4 a test and i’m rlly struggling :/
What value of y makes the equation true?
-7/12 = y/-36
A -21
B 28
C -28
D 21
Answer:
D) 21
Step-by-step explanation:
y= -7/12× -36
or, y= -7×-3
or, y= 21
Answer:
D
Step-by-step explanation:
Given
[tex]\frac{-7}{12}[/tex] = [tex]\frac{y}{-36}[/tex] ( cross- multiply )
12y = 252 ( divide both sides by 12 )
y = 21 → D
Is x+y is an algebraic expression?
0.54 litres in cm ³
Answer:
540 cubic centimeters
Step-by-step explanation:
just move 0 on the other side
Hey there!
0.54 liters to ________ cm³
= 0.54 * 1,000
= 540
Therefore, your answer should be: 540 cm³
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A graduated cylinder is used to measure the volume of a
A. gas.
B. solid.
В.
C. liquid.
D. plasma.
Answer:
c
Step-by-step explanation:
liquid
Guys I need help plz! ( it would mean a lot if u help )
Answer:
━☆ﾟ.*･｡ﾟX>6
Step-by-step explanation:
Here,X is greater than 6
Answer:
x > 6
Hope this helped <3
Is anyone good at geometry if so can you help me please ?
And please do not play around this is very serious !
The arcs FA, AB, and BF make up the entire circle, so their measures sum to 360°:
arcFA + arcAB + arcBF = 360° → arcBF = 360° - 160° - 140° = 60°
By the inscribed angle theorem, angle BAF has measure equal to half of that of arc BF, so
angleBAF = 30°
By the secant-tangent theorem (not sure if there's an official name for it), the measure of angle ACF is equal to half the difference of the arcs it intercepts, namely BF and FA, so that
angleACF = 1/2 (arcFA - arcBF) = 1/2 (160° - 60°) = 50°
Now use the law of sines for solve for FA:
sin(angleACF) / FA = sin(angleBAF) / FC
sin(50°) / FA = sin(30°) / 10
FA = 10 sin(50°) / sin(30°) ≈ 15.3