Answer:
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Step-by-step explanation:
Given
[tex]p = 3\%[/tex] --- rate of hard disk drives failure
[tex]n = 4[/tex] --- number of hard disk drives
See comment for complete question
Required
[tex]P(Atleast\ 1)[/tex]
First, calculate the probability that the none of the 4 selected is working;
[tex]P(none) = p^4[/tex]
[tex]P(none) = (3\%)^4[/tex]
[tex]P(none) = (0.03)^4[/tex]
Using the complement rule, the probability that at least 1 is working is:
[tex]P(Atleast\ 1) = 1 - P(none)[/tex]
This gives:
[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]
[tex]P(Atleast\ 1) = 0.9999992[/tex]
At the movie theatre, child admission is $5.70 and adult admission is $9.50, 146 tickets were sold for a total sales of $1075.40. How many adult tickets were sold that day?
Answer:
x = number of children tickets sold = 82 tickets
y = number of adult tickets sold = 64 tickets
Step-by-step explanation:
Let
x = number of children tickets sold
y = number of adult tickets sold
x + y = 146 (1)
5.70x + 9.50y = 1075.40 (2)
From (1)
x = 146 - y
Substitute x = 146 - y into (2)
5.70x + 9.50y = 1075.40 (2)
5.70(146 - y) + 9.50y = 1075.40
832.2 - 5.70y + 9.50y = 1075.40
- 5.70y + 9.50y = 1075.40 - 832.2
3.8y = 243.2
y = 243.2/3.8
y = 64
Substitute y = 64 into (1)
x + y = 146
x + 64 = 146
x = 146 - 64
x = 82
x = number of children tickets sold = 82 tickets
y = number of adult tickets sold = 64 tickets
Si A es tu edad, la tasa de pulsos máxima que deberías mantener durante actividades aeróbicas es de 0.88 (220-A). ¿Cúal es la tasa de pulsos máxima que deberías mantener si tú estuvieras en el rango de los 20 años?
Respuesta:
176
Explicación paso a paso:
Dado :
La frecuencia máxima del pulso que se debe mantener durante las actividades aeróbicas viene dada por:
0,88 (220-A); donde A = edad
Para una persona de 20 años
Supongamos que la edad es de 20 años; A = 20
Poniendo A = 20 en la ecuación;
0,88 (220 - A); A = 20
Frecuencia de pulso máxima:
0,88 (220 - 20)
0,88 (200)
= 176
La frecuencia de pulso máxima es 176
WILL GIVE BRAINLIEST IF CORRECT!
Write an equation that represents the line. Use exact numbers.
Answer:
y=0.5x-3.5
Step-by-step explanation:
(-4)-(-5)=1
3-1=2
1/2=0.5
y=0.5x-3.5
Answer:
[tex]y=-2y-7[/tex]
Step-by-step explanation:
Coordinates plotted on the equation:
[tex](1,-4)[/tex]
[tex](4,-5)[/tex]
{check the image for your reference}
Find the slope of the line that passes through (6, 4) and (4, 1).
Answer:
[tex]1.5[/tex]
Step-by-step explanation:
[tex](6 \: \: \: \: \: 4)(4 \: \: \: \: \: 1) \\ m = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - 1}{6 - 2} \\ = \frac{3}{2} \\ = 1.5[/tex]
hope this helps you.
Clare has $150 in her bank account, She buys a bike for $200 whatsis Clare's balance now
Answer pls
Answer:
-50
Step-by-step explanation:
f(x) = x5 – 9x3 Choose all of the zeroes of f(x)
Answer:
[tex]x^{3} (x^{2} -9)[/tex]
[tex]x^{3} (x+3)(x-3)[/tex]
zeros at : 0,3,-3
Step-by-step explanation:
Rewrite 1/5 barrel and 1/2 as a Unit rate
Find the measure of the indicated angle
Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.
3 Nine children share out cqually the chocolates in a large tin and it
cight cach. If there were only six children, how many would each get
please help! I cant figure this out!
What is the distance between
(
−
5
,
−
5
)
(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and
(
−
9
,
−
2
)
(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?
Answer:
do you have a pic of the problem
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
the answer is the sqare rute of 25 which is 5
Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
The question is incomplete. The complete question is :
Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
Answer:
67.5 [tex]mm^3[/tex]
Step-by-step explanation:
Given that :
Cylinder A and cylinder B are similar.
Let volume of cylinder A = 20 [tex]mm^3[/tex]
We know the volume of a cylinder is given by V = [tex]$\pi r^2 h$[/tex]
where, r is the radius of the cylinder
h is the height of the cylinder
We have to find the scale factor.
The length scale factor is = [tex]$\frac{6}{4}$[/tex]
[tex]$=\frac{3}{2}$[/tex]
Area scale factor [tex]$=\left(\frac{3}{2}\right)^2$[/tex]
[tex]$=\frac{9}{4}$[/tex]
∴ Volume scale factor [tex]$=\left(\frac{3}{2}\right)^3$[/tex]
[tex]$=\frac{27}{8}$[/tex]
Therefore, the volume of cylinder B is [tex]$=20 \times \frac{27}{8}$[/tex]
= 67.5 [tex]mm^3[/tex]
Plz help me solve this ASAP and show the work thank you
Answer:
14
Step-by-step explanation:
The diagram is right angle triangle so we can use SOHCAHTOA
So in the diagram we have 62 degree opposite to x and the hypotenuse
Step 1
Sin62=x/16
Step 2
X=16sin62 by cross multiplication
Step 3
X=14.13
X=14
To indirectly measure the distance across a lake, Nachelle makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter
Answer:
207.68 m
Step-by-step explanation:
From the diagram,
ΔDEC is similar to ΔFGC
Therefore,
(DE)/(FG) = (DC)/(FC).............. Equation 1
make line DE the subject of the equation
DE = [(DC)(FG)/(FC)]................ Equation 2
From the diagram,
Given: DC = 190 m, FG = 142.1 m, FC = 130 m
Substitute these values into equation 2
DE = (190×142.1/130)
DE = 207.68 m
Hence the distance across the lake is 207.68 m
Applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
Recall:
The corresponding side lengths of two triangles that are similar are always proportional to each other.Thus:
ΔCDE and ΔCFG are similar to each other
FG = 142.1 m
FC = 130 m
DF = 60 m
DC = 130 + 60 = 190 m
Therefore:
DE/FG = DC/FC
SubstituteDE/142.1 = 190/130
Cross multiply[tex]DE = \frac{190 \times 142.1}{130} \\\\\mathbf{DE = 207.68 $ m}[/tex] (nearest hundredth).
Therefore, applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
Learn more about similar triangles here: https://brainly.com/question/11899908
What are the coordinates of the terminal point for 0 = 4pi/3
Answer:
I hope this helps. There is a link
b
So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.
Step-by-step explanation:
What is the area of this figure? Enter your answer in the box.
Answer:
Step-by-step explanation:
33
If US=52, ST=30, UT=40, VW=27, and XW=36, find the perimeter of ΔVWX. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
The perimeter is 109.8
Step-by-step explanation:
As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent
When two triangles are congruent, the ratio of their corresponding sides are equal
So we can get the scale factor here by looking at the sides facing each specific angle in both triangles
In the bigger triangle,
The side facing 34 degrees has a length of 30
In the smaller triangle,
The side facing 34 degree has a length of 27
So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9
Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36
So the ratio still stands at 36/40 = 9/10 or 0.9
In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger
The perimeter of the bigger is simply the sum of the side lengths
We have this as;
(52 + 30 + 40) = 122
so that of the smaller would be;
122 * 0.9 = 109.8
PLEASEEE HELPPPPPPP
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
What is the average rate of change of the function f(d) from d = 3 to d = 9, and what does it represent?
Answer:
0.4476
Step-by-step explanation:
What is the value of x to the nearest tenth?
A) 9.2
B) 7.2
C) 4.8
D) 12.0
Answer:
B. 7.2
Step-by-step explanation:
radius=24÷2= 12
other line =19.2÷2=9.6 because line from centre bisects chord and is perpendicular to it
Therefore: X²=√ 12²-9.6² ( theorem of Pythagoras)
X=7.2
Rewrite this function in equivalent forms to identify the key features of the quadratic function it models.
f(x) = 2x2 - 40 - 6
Type the correct answer in each box.
Key features:
y-intercept: 0,
axis of symmetry: z =
vertex: OD
x-intercepts: (-1,0) and ((,)
Answer:
y int = -6
x = 1 axis symmetry
vertex : (1,-8)
x int: (3,0),(-1,0)
Step-by-step explanation:
Find x
Help me please
Answer:
19
Step-by-step explanation:
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
FG has a midpoint at M(5, 7). Point G is at (9,5). Find the coordinates of point F. Write the coordinates as decimals or integers.
An angle in standard position measures 5п 8 radians. In which quadrant does the terminal side of this angle lie? O Quadrant I II Quadrant Quadrant IIT Quadrant IV
Answer:
I've attached a picture of a unit circle with the quadrant labeled.
Calculate the degree of 5п 8 radians:
[tex]\frac{5\pi }{8} =\frac{5*180}{8} =\frac{900}{8} =112.5[/tex]
Locate the general location of 112.5° on the unit circle:
It's between 120°([tex]\frac{2\pi }{3}[/tex]) and 90°([tex]\frac{\pi }{2}[/tex]).
Find the quadrant it lies in:
Quadrant II
quall o numero de diagonais de um poligono com 15 lados
Answer:
90 diagonais.
Step-by-step explanation:
[tex]n(n-3)/2=15(15-3)/2=15*6=90[/tex]
Leon needs to save more than $350 to buy a new bike. He has $130 saved so far, and he plans to save $20 each week until he has enough. The inequality below represents x, the number of weeks he must save to have the extra money needed.
Answer:
11 weeks
Step-by-step explanation:
350=X*20+130
220=X*20
11=x
Drag
the yellow point until an accurate "height" of the triangle is drawn. Afterwards, fill out the empty boxes below to determine the area of the triangle.
Answer:
I don't see a yellow point
Polynomial: 2x3 – x2 – 3x + 5; Divisor: x + 3
Answer:
x= 5/2= 2.500
x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)
x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((2 • (x3)) - 3x2) - 3x) - 5 = 0
STEP
2
:
Equation at the end of step
2
:
((2x3 - 3x2) - 3x) - 5 = 0
STEP
3
:
Checking for a perfect cube
3.1 2x3-3x2-3x-5 is not a perfect cube
Trying to factor by pulling out : 3.2 Factoring: 2x3-3x2-3x-5
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3x-5
Group 2: -3x2+2x3
Pull out from each group separately :
Group 1: (3x+5) • (-1)
Group 2: (2x-3) • (x2)
Bad news !! Factoring by pulling out fails :
Answer:
2x² + 5x – 18 Remainder 59
Step-by-step explanation:
2x³ – x² – 3x + 5 ÷ x + 3
2x² + 5x – 18
x + 3 √ 2x³ – x² – 3x + 5
– 2x³ – 6x²
0 + 5x² – 3x + 5
– 5x² + 15x
0 – 18x + 5
– –18x –54
0 + 59
2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59
how do I set it up for this?
Answer:
CF = 8.5
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
CF × DF = BF × EF , substitute values
CF × 14 = 7 × 17
14CF = 119 ( divide both sides by 14 )
CF = 8.5
-3x - 3y = 3, -5x + y =13
System of Equations
Answer:
([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Step-by-step explanation:
Hi there!
We are given the following system of equations:
-3x-3y=3
-5x+y=13
and we need to find the solution (the point at which the 2 lines intersect)
let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable
in the second equation, add 5x to both sides to isolate y by itself
y=5x+13
now substitute 5x+13 as y in -3x-3y=3
-3x-3(5x+13)=3
do the distributive property
-3x-15x-39=3
combine like terms
-18x-39=3
add 39 to both sides
-18x=42
divide both sides by -18
x=[tex]\frac{-7}{3}[/tex]
now we need to find y
remember: y=5x+13
substitute [tex]\frac{-7}{3}[/tex] as x in y=5x+13
y=5([tex]\frac{-7}{3}[/tex])+13
multiply
y=[tex]\frac{-35}{3}[/tex]+13
add
y=[tex]\frac{4}{3}[/tex]
So the answer is x=[tex]\frac{-7}{3}[/tex], y=[tex]\frac{4}{3}[/tex]. As a point, it's ([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Hope this helps! :)
