Answer:
P (X≤1) = 0.000
Step-by-step explanation:
Data given:
p = 79% = 0.79
q = 1 - 0.79 = 0.21
n = 16
P (no more than 1 in 16 adults) = P (X≤1)
P (X≤1) = P (X=0) + P (X=1)
We can find the probability by using binomial functions:
[tex]P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]
P(X=0):P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶
Use calculator to solve:
P(X=0) = 0.000000000798
P(X=1):P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵
Use calculator to solve:
P(X=1) = 0.000000034506
P(X≤1)P (X≤1) = P (X=0) + P (X=1)
P (X≤1) = 0.000000000798 + 0.000000034506
P (X≤1) = 0.00000003530
P (X≤1) = 0.000
As 1 is a very low number, its probability is very small
A new car worth $27,000 is depreciating in value by $3,000 per year.
Complete parts
a. through b. below.
a.Write a formula that models the car's value, y, in dollars, after x years.
y= 0
Answer: Y=24000-3000x
9000=24000-3000x
-15000=-3000x
x=5 years
first we need to set the equation
at plug in all the information we have. In our case, we know cars value or y =9000, we need to find what is the x value
2
we need to subtract 24000 on both sides, and then divide by -3000 on both sides, and find out for x in years
Step-by-step explanation:
The model of the car's value, y, in dollars, after x years is:
y = -3000x + 27000
The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of years and y represent the value in dollars.
Since the new car worth is $27000, hence b = 27000. Also it depreciating in value by $3,000 per year, hence m = -3000. The car value is given by:
y = -3000x + 27000
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Here is a scale drawing of a garden. Kim wants to plant a tree in the garden according to the following rules: It must be 7 m from A and 4 m from C. Place a cross where Kim can plant the tree.
Answer:
If the scale is 1 or more cm to every meter you can count 7 from A
if it is 2cm to every meter you can count 6cm and count this as 3 meter so that when you extend another 6cm you have 3m +3m = 6 meters it would just be 2 more cm to count for 1 m to equal it has 7m.
Repeat for 4m for C which is 4 groups of cm depending what the scale is.
The two should meet at a cross the same as counting one direction from 7 and counting across for 4 in another direction.
Step-by-step explanation:
On the scale drawing of the garden, the point to plant the tree is 3.5cm from point A and 2cm from point C
The scale factor is given as: 1 cm represents 2 m
From the question, we understand that the point to plant the tree is 7m from point A and 4 m from point C
Using the scale factor, the location of the point is calculated as follows:
[tex]\mathbf{A = \frac{7cm}{2}}[/tex]
[tex]\mathbf{A = 3.5cm}[/tex]
[tex]\mathbf{C = \frac{4cm}{2}}[/tex]
[tex]\mathbf{C = 2cm}[/tex]
This means that the point is 3.5cm from point A and 2cm from point C
Read more about scale factors and dilations at:
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1 cm = 500km the ratio is 1 to
Answer:
1:500
Step-by-step explanation:
Since it has already given you the conversion factor, the ratio is 1:500, where every 1 cm is 500 km.
Answer:
1:500
Step-by-step explanation:
If 1 is the ratio number for 1 cm we can easily tell that 500 with be in the ratio Too.
question 135 I feel ashamed that i dont know maf or how to spel
Answer:
k = 3
Step-by-step explanation:
=> 4.5 + 1.5 k = 18 - 3k
=> 1.5 k + 3k = 18 - 4.5
=> 4.5 k = 13.5
Dividing both sides by 4.5
=> k = 3
Answer:
k = 3
Step-by-step explanation:
4.5 + 1.5k = 18 - 3k
Add 3k to both sides.
4.5 + 4.5k = 18
Subtract 4.5 from both sides.
4.5k = 13.5
Divide both sides by 4.5
k = 3
Write an equation for the line parallel to y = 2/3 x + 5 , passing through the point (3, 2).
Answer: y=2/3x+5
Step-by-step explanation:y
=
2
3
x
+
5
Using the slope-intercept form, the slope is
2
3
.
m
=
2
3
To find an equation that is parallel to
y
=
2
3
x
+
5
, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(
0
,
0
)
m
=
2
3
Using the point-slope form
y
−
y
1
=
m
(
x
−
x
1
)
, plug in
m
=
2
3
,
x
1
=
0
, and
y
1
=
0
.
y
−
(
0
)
=
(
2
3
)
(
x
−
(
0
)
)
Solve for
y
.
y
=
2
3
x
URGENT PLEASE HELP IM BEGGING YOU
In this activity, you will find and interpret the average rate of change of a polynomial function.
Part A
The polynomial function y = -0.00584 +0.05x3 -0.086x2 - 0.04x + 2.52 represents the fluctuating gas price in dollars per
gallon) in a city over the course of 6 years. Calculate the average rate of change from year 0 to year 2, and then calculate
the average rate of change from year 3 to year 6.
Answer:
The average rate of change from year 0 to year 2 is
[tex]change = -0.0585[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = -0.0129[/tex]
Step-by-step explanation:
The average rate of change describes the average rate at which gas price in dollars per gallon is changing with respect to time (years)
The given polynomial function is
[tex]y = -0.0058x^4 +0.05x^3 -0.086x^2 - 0.04x + 2.52[/tex]
Calculate the average rate of change from year 0 to year 2.
For year x = 0
[tex]y = -0.0058(0)^4 +0.05(0)^3 -0.086(0)^2 - 0.04(0) + 2.52 \\\\y = 2.52[/tex]
For year x = 2
[tex]y = -0.0058(2)^4 +0.05(2)^3 -0.086(2)^2 - 0.04(2) + 2.52 \\\\y = -0.0928 + 0.4 - 0.344 - 0.08 + 2.52 \\\\y = 2.403[/tex]
The average rate of change from year 0 to year 2 is
[tex]change = \frac{y(2) - y(0)}{x(2) - x(0)} \\\\change = \frac{ 2.403- 2.52}{2 - 0} \\\\change = \frac{-0.117}{2} \\\\change = -0.0585[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
The average rate of change from year 3 to year 6 is
For year x = 3
[tex]y = -0.0058(3)^4 +0.05(3)^3 -0.086(3)^2 - 0.04(3) + 2.52 \\\\y = -0.4698 + 1.35 - 0.774 - 0.12 + 2.52 \\\\y = 2.506[/tex]
For year x = 6
[tex]y = -0.0058(6)^4 +0.05(6)^3 -0.086(6)^2 - 0.04(6) + 2.52 \\\\y = -7.5168 + 10.8 - 3.096 - 0.24 + 2.52 \\\\ y = 2.4672[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = \frac{y(6) - y(3)}{x(6) - x(3)} \\\\change = \frac{ 2.4672- 2.506}{6 - 3} \\\\change = \frac{-0.0388}{3} \\\\change = -0.0129[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
Complete question:
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
A. likely
B. certain
C.unlikely
D.impossible
Answer:
C. unlikely
Step-by-step explanation:
If the probability that Sarah will score a point on her next turn is 1 which is 100%, then it will be certain that she will score a point on her next turn.
Again, If the probability that Sarah will score a point on her next turn is ¹/₂ which is 50%, then it will be likely that she will score a point on her next turn.
Also, If the probability that Sarah will score a point on her next turn is ¹/₃ which is 33%, then it will be unlikely that she will score a point on her next turn.
Furthermore, If the probability that Sarah will score a point on her next turn is 0 which is 0%, then it will be impossible that she will score a point on her next turn.
Thus, the correct statement for the given question is "unlikely"
Find the value of x. If necessary, round to the nearest tenth.
Answer:
3
Step-by-step explanation:
Note that cos 45 degrees = (hypotenuse / (adjacent side), and so
adjacent side = hypotenuse / cos 45 degrees, or
x = adjacent side = (3sqrt 2) / (1/sqrt 2) = 3
Side x has length 3.
If anyone is great in math and can help me with this I would appreciate so much
Answer:
104.25
Step-by-step explanation:
11x19=206
206/2=104.5
Answer:
A
Step-by-step explanation:
The formula of area of a triangle is bh/2
Base=19
Hight=11
If you multiply them together you get 209 sq. units. Next, you must divide by 2.
209÷2=104.5
I hope this helped answer your question!
A Canadian dollar is worth about $0.85 in
Answer:
B) $412 U.S Dollars
Step-by-step explanation:
350 divided by 0.85 = 411.7 and then round
Answer:
d. $298 U.S. dollars
Step-by-step explanation:
$1 Can = $0.85 US
Divide both sides of the equation by $1 Can
1 = ($0.85 US)/($1 Can)
$350 Can * ($0.85 US)/($1 Can) = $297.50 US
Answer: d. $298 U.S. dollars
The next term in a sequence Comes from adding the
previous two terms. Find the missing terms below.
2,
,9
, 25,
66
Answer:
Step-by-step explanation:
Each new term is the sum of the two preceding terms. Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x. Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9. Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16. Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25: 2, 7, 9, 16, 25. And so on.
whats the answer???
Answer:
idk
Step-by-step explanation:
K
i
n
k
y
SELECT ALL THAT APPLY
Which equations could you use to solve the following problem?
Seventy-eight is 55% of what number?
1. 78 = (0.55)w
2. p = (0.85)78
3. x/78 = 55/100
4. 78/x = 55/100
Answer:
The answer I THINK was the best is the fourth one !
Step-by-step explanation:
I think because before you calculate, you have To put 78 / with an x because you still don't know what is the number !
And after you have To equal this with 55/100 To know the answer !
I hope i helped you !
Answer:
the first one and last one.
Step-by-step explanation:
i had he same question!!! hope this helps
A man dropped his keys into the sea and watched them fall to a depth of −8 meters before landing on a rock. How far are the keys from the surface of the sea?
Answer:
8 meters
Step-by-step explanation:
Use absolute value to figure this out.
please mark me brainliest!
HURRY PLS!!!
which expression is equivalent to 3(b+ c) using only the distributive property?
3bc
3(c+b)
3b+3c
(b+c) • 3
Answer:
3b + 3c
Step-by-step explanation:
hope this helps you
Answer:
3(c+b)
Step-by-step explanation:
3(b+c) is essentially 3 times B+ 3 times c
and 3(c+b) is 3 times c + 3 times B
Which statement is true?
The transformation is rigid because corresponding side
lengths and angles are congruent.
The transformation is rigid because corresponding side
lengths are congruent and corresponding angles are not
congruent.
The transformation is nonrigid because the two
triangles have different names.
The transformation is nonrigid because the three sides
and the three angles in each triangle have different
measures.
Answer:
Option A
Step-by-step explanation:
The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.
Option A should be the correct answer.
Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.
The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.
How to determine the true statement?From the figure, we have the following highlights
Corresponding angles are congruentCorresponding sides are congruentThe above means that the transformation from one triangle to the other is a rigid transformation
Hence, the true statement is (a)
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If you had a block of each type of wood with the same dimensions, how would their weights compare? Explain.
Answer:
Same dimensions
Step-by-step explanation:
Since they have the same dimensions, they have the same volume. At the same volume, the denser wood has a higher mass, and hence a higher weight.
Answer: The would still be different weight depending on factors
Step-by-step explanation:
Even though the dimentions are similar, there could be an issue because for example you have TWO 3D peices of wood, one is firewood and one is redwood. The firewood is larger than the redwood but is still 3D dimension.
So dimentions do not afftect weight
I tried my best, if this helps please mark me as brainliest :)
The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2
Answer:
B.y=-2(x+3)2-2
Step-by-step explanation:
A if false beacuse you have to put (-3,-2) into all of your equations
B is correct
C is false
D is also false
PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answer:
15
Step-by-step explanation:
30/2 = 15
Answer:
7
Step-by-step explanation:
Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.
The diameter of a circle is 15in. Find the circumference to the nearest tenth (urgent)
Answer:
I believe it is 47.1
Answer:
Answer is 47 inches.
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \: \\ diameter \: of \: circle \: = 15 \: in \\ we \: know \: that \: \\ circumference \: of \: circle \: = d\pi \\ on \: substitutig \: d \: = 15 \: in \: \\ in \: the \: formula \: we \: get \\ circumference \: of \: circle \: = 15\pi \\ substitute \: \pi = 3.14 \\ = 5 \times 3.14 \\ = 47.123 \\ when \: the \: answer \: is \: rounded \: to \ \\ the \: nearest \: tenth \: we \: \\ get \: 47 \: in \: as \: the \: answer.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Order the side lengths from least to greatest
Answer:
BC < CE < BE < ED < BD
Step-by-step explanation:
In the triangle BCE,
m∠BEC + m∠BCE + m∠CBE = 180°
m∠BEC + 81° + 54° = 180°
m∠BEC = 180 - 135
m∠BEC = 45°
Order of the angles from least to greatest,
m∠BEC < m∠CBE > mBCE
Sides opposite to these sides will be in the same ratio,
BC < CE < BE ----------(1)
Now in ΔBED,
m∠BEC + m∠BED = 180°
m∠BED = 180 - 45
= 135°
Now, m∠BDE + m∠BED + DBE = 180°
11° + 135°+ m∠DBE = 180°
m∠DBE = 180 - 146
= 34°
Order of the angles from least to greatest will be,
∠BDE < ∠DBE < ∠BED
Sides opposite to these angles will be in the same order.
BE < ED < BD ----------(2)
From relation (1) and (2),
BC < CE < BE < ED < BD
The first term of an arithmetic progression is 30 and the common difference is -1.5. Find the value of the 25th term
Answer:
[tex]-6[/tex]
Step-by-step explanation:
[tex]a_1=30[/tex]
[tex]d=-1.5[/tex]
[tex]-1.5n+31.5[/tex]
[tex]-1.5(25)+31.5[/tex]
[tex]-37.5+31.5[/tex]
[tex]=-6[/tex]
Answer:
the answer to this is
-6
Solve x+ y = 5 and 2 x - y = 3
Answer:
[tex] x=\frac{8}{3}\: \: y=\frac{7}{3}[/tex]
Step-by-step explanation:
Add the two equations:
$ x+y +(2x-y)=5+3$
$\implies 3x=8$
$\implies x=\frac{8}{3}$
Use this value in the first equation:
$\frac{8}{3}+y=5$
$\implies y=\frac{15-8}{3}=\frac{7}{3}$
Answer:
x + y = 5 Equation 1
2x-y = 3 Equation 2
Add both Equations
y will be eliminated so it will be
3x = 8
x = 8/3
Substitute x into equation 1
8/3 + y = 5
y = 5 - 8/3
y= 7/3
x = 8/3 y = 7/3
A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9
Answer:
Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9
Step-by-step explanation:
x variable represents total megabytes of data used
y variable represents total monthly charges
The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.
The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.
With these two points, the slope is computed as follows:
(245 - 155)/(200 - 100) = 0.9
Answer:
the correct answer is
Step-by-step explanation:
Second option: Draw a graph that joins the points 100 and 135 500 and 375 and has a slope of 0.6
or if you have the other problem its
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
help please!
30 POINTS!
Answer:
210
Step-by-step explanation:
so the four Smallest Primes :
2, 3, 5, 7
When the number is Divided by 2, 3, 5 & 7 Leaves remainder 1
so N = 2a + 1
N = 3b + 1
N = 5c + 1
N = 7d + 1
-> N - 1 = 2a = 3b = 5c = 7d
N - 1 = 2 * 3 * 5 * 7
-> N - 1 = 210
-> N = 211
Next N - 1 = 2(210)
-> N - 1 = 420
-> N =421
Difference = 421 - 211 = 210
Solve the following for the specified variable
Z=s/2(P+p); for P
Answer:
[tex] \boxed{\sf P = \frac{2Z}{s} - p} [/tex]
Step-by-step explanation:
[tex]\sf Solve \ for \ P: \\ \sf \implies Z = \frac{s}{2} (P + p) \\ \\ \sf Z = \frac{s}{2} (P + p) \ is \ equivalent \ to \ \frac{s}{2} (P + p) = Z: \\ \sf \implies \frac{s}{2} (P + p) = Z \\ \\ \sf Divide \ both \ sides \ by \ \frac{s}{2} : \\ \sf \implies P + p = \frac{2Z}{s} \\ \\ \sf Substrate \ p \ from \ both \ sides: \\ \sf \implies P = \frac{2Z}{s} - p[/tex]
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answer:
4512 handshakes
Step-by-step explanation:
We are told in the question, that there are
96 people in the room = 48 couples
Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once
This means
48 couples will shake 94 people because they are excluded
This is calculated as
48 × 94 = 4512 handshakes
Fill in the blank to this mathematics question
Answer:
x = 24 makes the original equation true
Step-by-step explanation:
2 < x ≤ 24
2 < x signifies x cannot be equal to 2
x≤24 signifies x can be equal to 24.
The height of a wall is 8 feet. What is the height of the wall in inches?
Answer:
1 feet = 12 inches
8 feet = 12 × 8
= 96 inches
The number 22 has exactly four factors. Since 22 is a multiple of 11, which must be true of 11?
