Answer:
[tex]X ≤ P(119) \rightarrow P(X < 119.5)[/tex]
Step-by-step explanation:
Given:
n = 504
p = 0.27
To Approximate:
P(x≤119) usimg normal distribution
Solution:
We know that,
[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]
let's find the mean,
[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]
let's calculate standard deviation,
[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]
Rewriting the equation using continuity correction,
[tex] P(X ≤ n) \rightarrow P(X < n + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119 + 0.5) \\ P(X ≤ 119) \rightarrow P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]
Some more things you must need to know,
standard score is an important part of statistics,
can be derived using formula
[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]
Thanks for joining brainly community!
Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?
Answer:
12ft trim
Step-by-step explanation:
assuming that she wants to use the same size on each side (3ft) of the window, we know that the window is a square
and a square has 4 sides
3 + 3 + 3 + 3 = 12ft
She needs 12 ft trim
A spherical ball has a radius of 2 ft what is the volume in cubic feet of the ball
The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]
r --> length of radius --> 2ft
Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]
The volume is 33.51 cubic feet
Hope that helps!
What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3
Answer:
-27.3 is the ans without decimal its -27-1/3
Answer:
-49 and 1/3
Step-by-step explanation:
− (-4 x -6) − (10 + 15) − 1/3
− (24) − (25) − 1/3
− 24 − 25 − 1/3
−49 − 1/3
-49 and 1/3
BRAINLIEST please if this helped!PLEASE HELP PLEASE PLEASE HELP
Answer:
[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%
Step-by-step explanation:
Find the value of (9/16) ^ - 1/2
Answer:
4/3
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}[/tex]
From the law of exponent:
[tex]\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}[/tex]
Convert to the form above:
[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}[/tex]
Therefore, the solution is 4/3
Help plssssssssssssssssssss I NEED THIS TODAY!! PLS
Answer:
The first 1 is the answer (a)
Step-by-step explanation:
For which inequality is x = 5 a solution
Answer:
4<x<6
Step-by-step explanation:
4 is smaller than x
and x is samller than 6
so its 5
HELP PLSS I NEED TO TURN IN RIGHT NOW!!!!
Mr. Foster wants to put a new carpet on the floor of his rectangular playroom. The playroom is 27 ft long and 18 ft wide. He has found an inexpensive carpet that is priced $14 per sq yd. What would be a reasonable price for enough carpet to cover the floor of his playroom?
Answer: $756
Step-by-step explanation:
convert feet to yards
1 yard = 3 feet
27 ft = 9 yards
18 ft = 6 yards
carpet represents area
area = length x width
area = 9 x 6
area = 54 yards^2
$14 for 54 yards^2 = 14 x 54
14 x 54 = 756
$756
Evaluate
A)9
B)-9
c) 729
d) -729
The correct option is c) 729
Explanation :-
[tex] \frac{1}{ {3}^{ - 2} {x }^{ - 4} {y}^{2} } [/tex][tex] = \frac{ {3}^{2} {x}^{4} }{ {y}^{2} } [/tex]Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.
[tex] ⇢ \frac{ {3}^{2} {(3)}^{4}}{ {( - 1)}^{2} } [/tex][tex] = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 3}{( -1) \times ( - 1)} [/tex][tex] = \frac{729}{1} [/tex][tex] = \underline { \boxed{ 729}}[/tex]
6. If 2 cards are drawn from a standard deck with replacement, find the probability of drawing a face card and an even number.
Answer:
15/169
Step-by-step explanation:
There are 52 cards in a standard deck. Of those 52 cards, 12 are face cards and 20 are even numbered. To find the probabily in this situation, we multiply 12/52 by 20/52. This gives us 240/2704. This can be reduced to 15/169.
! PLS HELP ! In a raffle, one thousand tickets are sold. There
is a grand prize of $4000, a second prize of
$500, and a third prize of $100. What ticket
price would make this game fair?
Answer:
$4.60
Step-by-step explanation:
A recent survey found that 5% of the population of the United States is unemployed. If Charlotte, North Carolina, has 30,850 unemployed, what is the population of Charlotte?
The population of Charlotte, North Carolina is approximately_____?
Answer:
617000
Step-by-step explanation:
Division reverses multiplication.
If the total population of Charlotte which we'll call 'x' follows
x * 0.05 = 30850, then
30850 / 0.05 = x
x = 617000
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
There is not crest given so use distance between troughs
Period (T):-
Distance between two troughs|3-(-3)|6Frequency:-
[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]
[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]
IM CONFUSED CAN SOMEBODY HELP ME SOLVE THE EQUATION
Answer:
y = - ½(x - 2)² + 3
Step-by-step explanation:
I NEED HELP ASAP
Solve.
4x + 2(3x – 9) = x
A.
x = –2
B.
x = 1.8
C.
x = 2
D.
x = 18
Answer:
x=2
Step-by-step explanation:
[tex]4x+2(3x-9)=x\\\\\implies 4x +6x - 18 -x =0\\\\\implies 9x = 18\\\\\implies x = \dfrac{18}9 = 2[/tex]
which term describes the point where the three medians of a triangle intersect?
Answer: It is the centroid of a triangle or A. Centroid
Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)
The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.
The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.
The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.
What is the surface area of this prism?
Answer:
Step-by-step explanation:
front side: 6x3 = 18
back : 6x3 = 18
right:6x2 = 12
left:6x2 = 12
top: 3x2 =6
bottom: 3x2 =6
18 + 18 + 12 + 12 + 6 + 6
= 72
PLEASE HELP ASAP
Reginald Wallace's gross weekly salary is $515. His weekly federal withholding is $55. The Social Security tax is 6.2% of the first $97,500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week he pays $12.40 for medical insurance. How much is deducted from Reginald's weekly wages for state tax and Medicare tax?
Answer:
$15.20
Step-by-step explanation:
Had the same question last year and found the answer in some flashcards. You can browse the question too.
100 points! asap! Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answer:
A) A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)
Step-by-step explanation:
Given equations:
[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]
[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]
Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:
[tex]\implies 2x+2=-2x+14[/tex]
[tex]\implies 4x=12[/tex]
[tex]\implies x=3[/tex]
Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:
[tex]\implies y=2(3)+2=8[/tex]
Therefore, the solution to the system is (3, 8).
This is the point of intersection of the two lines.
Identify the type of polynomial
3x2 + 2x +1
Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 =3(cos 15 14π +isin 15 14π ) and z_2=3\sqrt{3}\big(\cos \frac{11\pi}{15} +i\sin \frac{11\pi}{15}\big)z 2 =3 3 (cos 15 11π +isin 15 11π ), express the result of z_1z_2z 1 z 2 in rectangular form with fully simplified fractions and radicals.
The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5.
How to determine the product of two complex numbers
Let be two numbers of the form z = a + i · b, where i = √-1, the product of two of these numbers in rectangular form is described by the following formula:
z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c) (1)
If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:
z₁ · z₂ = 7.794 - i · 13.5
The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5. [tex]\blacksquare[/tex]
Remark
The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:
Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.
To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853
help pplease i need help
Answer:
15/2 min/m
Step-by-step explanation:
Minuters per meter = min/m
4.5 min/(3/5) m
4.5 x 5/3 = 7.5
7.5 = 15/2
Hope this helps!
Please help me solve these problems
From the dots the parabola’s are the same size just transitioned to different locations.
blue = y = x^2 + 3
Green = y = (x-4)^2
Orange = y = x^2 - 3
Purple = y = (x+4)^2
Please help with this guys please I’d appreciate it
Answer:
annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52Step-by-step explanation:
The amount of an investment P compounded n times per year at annual rate r for t years is ...
A = P(1 +r/n)^(nt)
This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.
__
Continuously compounded interest results in an account balance computed using the formula ...
A = Pe^(rt) . . . . where the variables have the same definitions as above.
For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...
A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars
Help me please !!!!!!
Answer; hi sisters daddy chill
Step-by-step explanation:
A plant nursery receives shipments of soil in containers as shown below
( a picture of a cube that has 3 numbers - The heigh = 1 1/4 the base =2 . The width= 1 1/2
Part a- what is the volume of the soil in each container in cubic yards
(I put my answer as 3 3/4 which is right I think )
Part b - if a cubic yard of soil weighs 2000 pounds of soil does each container hold?
***I need help with part b pls
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the three dimensional shape is:
Volume = length * width * height = 1 1/4 * 1 1/2 * 2 = 3.75 yd³
1 yd³ = 2000 pounds
3.75 yd³ = 2000 pounds * 3.75 yd³ = 7500 pounds
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
Find out more on volume at: https://brainly.com/question/12410983
Circumference of the circle
Answer:
37 5/7
Step-by-step explanation:
use formular it will be 2pie -22/7 ×radius
since we have been given only radius it will be
2×22/7×6=37 5/7
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex] \qquad \tt \dashrightarrow \: 2\pi{r}^{} [/tex]
where, r = radius
Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: c = 2×\pi{}^{}×6 [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 12\pi\: \: m[/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: c = 12 \times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 37.68\: \: m[/tex]
[tex] \qquad \tt \dashrightarrow \: c \approx 37.7\: \: m[/tex]
¿Qué significa un punto en el diagrama de líneas?
un punto en un gráfico de líneas es un valor específico que normalmente es un valor de entrada y salida (x)
Hellp me please DDDDDDDDDDD:
Answer:
238 mm
Step-by-step explanation:
11x5 = 55
11x4=44
11x5=55
11x4=44
4x5=20
4x5=20
______(Add all up)
= 238 mm
Hope this helps :)
If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?
[Give the answer as a fraction in simplest form.]
Answer:
The probability is 1/9
Step-by-step explanation:
1 - 8/9 = 1/9