The value of the probability P(x > 2) is 0.8369
How to evaluate the probability?The given parameters are:
n = 5
p =0.7
The probability is calculated as:
[tex]P(x) = ^nC_x *p^x * (1 - p)^x[/tex]
Using the complement rule, we have:
P(x > 2) = 1 - P(0) - P(1) - P(2)
Where:
[tex]P(0) = ^5C_0 *0.7^0 * (1 - 0.7)^5[/tex]
P(0) = 1 *1 * (1 - 0.7)^5 = 0.00243
[tex]P(1) = ^5C_1 *0.7^1 * (1 - 0.7)^4[/tex]
P(1) = 5 *0.7^1 * (1 - 0.7)^4 = 0.02835
[tex]P(2) = ^5C_2 *0.7^2 * (1 - 0.7)^3[/tex]
P(2) = 10 *0.7^2 * (1 - 0.7)^3 = 0.1323
Recall that:
P(x > 2) = 1 - P(0) - P(1) - P(2)
So, we have:
P(x > 2) = 1 - 0.00243 - 0.02835 - 0.1323
Evaluate
P(x > 2) = 0.83692
Approximate
P(x > 2) = 0.8369
Hence, the value of the probability P(x > 2) is 0.8369
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What is a value plus 8, in algebraic expression
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\texttt{Yes, there's a local maximum at -9,} [/tex] [tex] \texttt{and it is 9} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
By Observing the graph, we can easily conclude that there's a local maxima at -9
[tex] \textsf{And f(-9) = 9} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Janet is fencing a triangular portion of her yard, which has measurements as shown. She needs fencing for the two sides of the yard that do not include the house. She also needs fencing for the third side of the yard, except for the portion taken up by the house.
The picture shows a rectangle touching the base of a triangle. The width of a rectangle is 100 ft. The angle of the left and right vertex of a triangle is 45 degrees. The length of the left line of a triangle is 100 ft. marked as a house
What is the approximate length of fencing she needs?
A.
441 ft
B.
273 ft
C.
341 ft
D.
241 ft
The approximate length of fencing she needs will be 41.42 feet. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Janet is fencing a triangular portion of her yard, which has measurements as shown.
She postulates fencing for the two sides of the yard that do not include the house.
She also requires fencing for the third side of the yard, except for the portion taken up by the house.
Then the approximate length of fencing she needs will be
Let x be the length of fencing.
Then we have
⇒ x + 100 + 100
Then we have
x = c – 100
Then the value of c is given by the Pythagoras theorem. Then we have
c² = 100² + 100²
c² = 10000 + 10000
c² = 20000
c = 141.42 ft
Then the value of x will be
x = 141.42 – 100
x = 41.2 feet ≈ 41 feet
Then we have
⇒ 41 + 100 + 100
⇒ 241
Then the correct option is D.
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Account earns 8.5% interest. If you invest $6,609 now how much interest will you earn in 5years
Answer:
simple interest is $281(nearest whole number)
Step-by-step explanation:
S. I=PXTXR
100
P=$6609
T=5
R=8.5 or 85/10
S. I=6609X5X85
100X10
=280.8825
=281
Which is the graph of f(x) = 100(0.7)?
I assume you meant [tex]f(x)=100(0.7)^{x}[/tex]. The graph is shown in the image below.
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
Answer these 10 questions for 30 points. serious answers only or report and low rating
Answer:
11. always
12. always
13. always
14. never
15. never
16. always
17. always
18. sometimes
19. sometimes
20. never
Step-by-step explanation:
11. A line can be defined by at least two points
12. A plane can be defined by at least three points
13. If two planes intersect, then they form a line at the intersection.
14. If two lines intersect, then they form a point at the intersection (not a segment).
15. A line does not have any endpoints (infinite in both ways).
16. If two planes are not parallel they will always intersect.
17. If two lines are not parallel they will always intersect.
18. Two points are sometimes collinear. It depends on where they are.
19. Two points are sometimes coplanar. It depends on where they are.
20. Ray MN and NM are not the same ray because the end points are different.
hello, please help me match these!
Answer:
1)x+1
2)x-1
3)x+1,R-1
Step-by-step explanation:
please mark me as brainlest
A coin tossed 5 times. What is the probability of getting
i) All heads?
ii) All tails?
iii) Exactly 2 heads
iv) Exactly 3 tails
v) Exactly 1 head
vi) At least two heads
umm....... I think it was exactly 2 head
A paramedic maintains a time card for hours she works on the rescue squad. How many hours did she work per week ?
39 hours; she works per week if the paramedic maintains a time card for hours she works on the rescue squad.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A paramedic maintains a time card for the hours she works on the rescue squad shown in the table:
We can write a mixed fraction in a fraction:
6 1/2 = 13/2
8 1/2 = 33/2
7 3/4 = 31/4
8 1/12 = 97/12
8 5/12 = 101/12
Adding all the fractions:
[tex]=\rm \dfrac{13}{2}+\dfrac{33}{4}+\dfrac{31}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]
[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]
[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{198}{12}[/tex]
[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{33}{2}[/tex]
[tex]=23+\dfrac{64}{4}[/tex]
= 39 hours
Thus, 39 hours; she works per week if the paramedic maintains a time card for hours she works on the rescue squad.
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In a recent international sport competition the top three countries country A country B and country C won a total of 120 medals. country B won 11 more medals than country C .country A won 38 more medals than the total amount won by the other two . how many medals did each of the top three countries won.
An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,
1.) The top three countries country A, country B, and country C won a total of 120 medals.
A + B + C = 120
2.) Country B won 11 more medals than country C
B = C + 11
3.) Country A won 38 more medals than the total amount won by the other two.
A = B + C + 38
A - 38 = B + C
Substitute the value of B+C form the last equation to the first equation,
A + A - 38 = 120
A = 79
Now, Substitue the value of A and B(from second equation) in the first equation,
79 + C + 11 + C = 120
C = 15
Now, substitute the value of C in the second equation,
B = C + 11
B = 15 + 11
B = 26
Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.
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A graph titled Janelle's Trip Home. The horizontal axis shows time (minutes) and the vertical axis shows distance from her home (miles). The line shows a decrease as time increases, a constant as time increases, and then another decrease as time continues.
Based on the graph, which statement could describe Janelle’s trip home from school?
Janelle waited for the bus, rode the bus, and then walked home.
Janelle walked the opposite direction from home to the library, rode the bus, and then walked to a friend’s house.
Janelle walked home at a constant speed.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home , Option D is the correct answer.
The missing graph is attached with the answer.
What is a Time -Distance Graph ?A graph which shows change in distance with respect to time is called Time- Distance Graph.
It is used to calculate velocity.
As in the graph we it can be seen that , The distance is decreasing at a constant speed ,
then the distance becomes constant with time
and then again decreases but with a lower rate
This means
Janelle rode the bus to the bus stop (distance to time rate is high)
talked with a friend (distance is constant with time)
and then walked home. (distance to time rate is low)
Therefore Option D is the correct answer.
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Answer:
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Step-by-step explanation:
(6.03)
What is the constant term in the expression 6x³y + 8x² + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
pls help how do i solve for x in this equation??
Answer:
x = -2
Step-by-step explanation:
1. Square both sides
x^2 +3x + 6 = x^2
2. Subtract x^2 from both sides
3x + 6 = 0
3. Subtract 6 from both sides and divide by 3
x = -2
Help help needed for composition of function
Answer:
[tex]\circledast \ \ f\circ f\left( x\right) = x[/tex]
[tex]\circledast \ \ g\circ g\left( x\right) =4x - 21[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{5}{2x}[/tex]
g(x) = 2x - 7
==============
[tex]f\circ f\left( x\right) =\frac{5}{2\left( f\left( x\right) \right) }[/tex]
[tex]=\frac{5}{2\left( \frac{5}{2x} \right) }[/tex]
[tex]=\frac{5}{\left( \frac{5}{x} \right) }[/tex]
[tex]=5\times\frac{x}{5}[/tex]
[tex]=x[/tex]
_____________
[tex]g\circ g\left( x\right) =2(g(x)) - 7[/tex]
= 2(2x - 7) - 7
= 4x - 14 - 7
= 4x - 23
Help me PLEASEEE!!! ASAP
Find the slope of the line
Answer:
3/2
Step-by-step explanation:
comparing the straight line with ax + bx + c = 0,
we get a = 3 and b = -2
we know,
slope of line = -a/b
= -3/-2
= 3/2
Hope it helped
The volume of a cone of height 4cm is 48cm². Find the radius (take π=22/7)
Answer:
22
Step-by-step explanation:
Is easy just multiple
you loaned a friend $100 and will charge him 5% annual simple interest when he pay it back
The amount of interest after 3 years will be $15.
The complete question is given below.
You loaned a friend $100 and will charge him 5% annual simple interest when he pay it back. What is the amount of interest after 3 years?
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The interest is given as
I = (P × R × T) / 100
Where, P is the initial amount, R is simple interest rate, and T is the time.
We have
P = $100
R = 5%
T = 3 years
Then the interest will be
I = (100 × 5 × 3) / 100
I = $15
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Daniel plays a shooting game in a funfair. He needs 48 points to get a skateboard. Each shot that hits the target will be given 6 points while 4 points will be deducted for every failed attempt. Daniel has already failed in three attempts. how many shots that are needed to hit the target for him to win the skateboard. (the answer is 10 points but can someone please tell me how to do it and pls explain why)
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If angle 1= 105°, angle 12= (3x + 15)°, and angle 7 = (8y-5)°, determine the values
of x and y?
The value of the variable x is 30° and the value of the variable y is 10°.
The missing diagram is attached below.
What is an angle?The angle is the distance between the intersecting lines or surfaces.
Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
If angle ∠1 = 105°, angle ∠12 = (3x + 15)°, and angle ∠7 = (8y-5)°.
∠1 = ∠5 = ∠9 = 105° (corresponding angles)
∠1 = ∠4 = 105° (Vertical opposite angles)
∠1 + ∠2 = 180° (linear angle)
∠2 = 75°
∠2 = ∠3 = 75° (Vertical opposite angles)
∠3 = ∠8 = ∠12 = 75° (corresponding angles)
Then the value of x and y will be
∠9 = ∠12
∠1 = ∠12
105° = (3x + 15)°
3x = 90°
x = 30°
∠6 = ∠7
75° = (8y – 5)°
8y = 80°
y = 10°
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5.7y-5.2=y/2.5 how to solve
5.7y-5.2=y/2.5
Add 5.2 to both sides:
5.7y = y/2.5 + 5.2
y/2.5 = 0.4y
5.7y = 0.4y + 5.2
Subtract 0.4y from both sides:
5.3y = 5.2
Divide both sides by 5.3:
y = 5.2/5.3
y = 0.98113
Answer:
y = 0.981
Step-by-step explanation:
Given expression:
5.7y-5.2=y/2.5Solution:
5.7y-5.2=0.4ySubtract 0.4y from both sides:
5.7y-5.2-0.4y=0.4y-0.4y5.3y - 5.2 = 0Add 5.2 to both sides:
5.3y-5.2+5.2 = 0+5.25.3y = 5.2Divide both sides by 5.3:
[tex] \cfrac{5.3y}{5.3} = \cfrac{5.2}{5.3} [/tex][tex]y = 0.981[/tex]Hence, y = 0.981.
Find all (a, b, c, d) in R4
such that the given set is orthogonal.
{(1, 2, 1, 0), (1, −1, 1, 3), (2, −1, 0, 1), (a, b, c, d)}
Answer:
[tex]\left[\begin{array}{}0&\\1&\\-2&\\1&\end{array}\right][/tex] t in R Correct option (B)
Step-by-step explanation:
Orthogonal vectors : We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.
Dot product : The dot product of two vectors is equal to the sum of the products of the individual components of the two vectors.
for the given vector (a, b, c, d) to be orthogonal its dot product with each vector must be 0
therefore (1, 2, 1, 0).(a, b, c, d) = 0
a + 2b+ c+ 0 = 0 -------- (i)
similarly (1, -1, 1, 3 ).(a, b, c, d) = 0
a - b + c + 3d = 0 -------- (ii)
(2, -1, 0, 1).(a, b, c, d) = 0
2a - b + 0 + d = 0 ---------- (iii)
subtracting equation (i) from (ii)
a - b + c + 3d - a - 2b - c - 0 = 0
-3b + 3d = 0
b = d
substituting b = d in (iii)
2a + b + 0 + b = 0
2a + 2b = 0
a = 0
substituting a = 0 , b = d in (i)
0 + 2d + c + 0 = 0
c = -2d
thus for any t ∈ R, vector(0, t, -2t, t) will make the given set orthogonal
the above vector can also be written as (0, 1, -2, 1)
therefor option B is correct
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What to do when forget the pasword to the account?
Answer:
usually at the login screen it gives you an option to reset your password if you forgot, it will appear in blue as "forgot password?" or "trouble logging in?"
The function G is defined by g (X) =X^2+2
Find g(4n)
Answer:
the answer is 4gn Puig IT in
A retailer purchases postcards for $0.50 and sells them for $0.70. What is the markup?
0.70 -0.50 = 0.20 cent mark up
0.20/0.50 = 0.40 = 40% markup
A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder
with a height of 7 cm and a radius of 2 cm. The paper label is wrapped around the can and covers only
the side of the can (not the top or bottom). The company uses, on average, 3612.64 cm² of paper
each minute making these labels. How many labels does the company make, on average, each
minute?
For your calculations, do not round any intermediate steps, and use the button on a calculator. Round
your answer to the nearest hundredth.
The company needs 41 labels on average, each minute.
What is the circumference of a circle?The perimeter of a circle (circumference): 2 π radius
Replacing with the values given:
C = 2 (3.14) 2 = 12.56 cm
So, the area of one label is:
Area of a rectangle: length x width = 12.56 x 7 = 87.92 cm sq.
Now, the number of label be n
87.92 x n = 3612.64 cm2
n = 3612.64 / 87.92
n = 41.09
Hence, The company needs 41 labels on average, each minute.
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15. This year Lucille weighs 106 lb 13 oz. A
year ago she weighed 101 lb 12 oz. How
much has she gained in the year?
Answer:
5 lbs 1 oz
Step-by-step explanation:
This year Lucille weighs 106 lb 13 oz. A
year ago she weighed 101 lb 12 oz. How
much has she gained in the year?
16oz = 1 lb
13 oz = 13/16 = .8125
12 oz = 12/16 = 3/4 = .75
106.8125 - 101.75
106.8125
-101.7500
---------------
5.0625 =
5.0625 = 5 1/16
1/16 of a pound is 1oz
5 lbs 1 oz
12, 3.1.52
If f(x) = x and g(x) = 2x³, find f[g(x)], and g[f(x)]
Given that [tex]f(x) = x[/tex] and [tex]g(x) = 2x^3[/tex], we have
[tex]f(g(x)) = f(2x^3) = 2x^3[/tex]
and
[tex]g(f(x)) = g(x) = 2x^3[/tex]
I need this asap. Would appreciate for y’all help
Answer:
-3/2, -1
Step-by-step explanation:
Each coordinate contains one [tex]x[/tex] value and one [tex]y[/tex] value, [tex](x,y)[/tex].
If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.
Let's take the [tex]x[/tex] values first. Our first [tex]x[/tex] value is -4 and our second [tex]x[/tex] value is 1. Imagine the integers between -4 and 1 laid out in a sequence:
[tex]-4, -3, -2, -1, 0, 1[/tex]
If you take the middle value of this sequence, you get the midpoint of the [tex]x[/tex] values.
In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is [tex]-\frac{3}{2}[/tex].
Now let's look at the [tex]y[/tex] values. Our first [tex]y[/tex] value is 2 and our second [tex]y[/tex] value is -4. Again, let's imagine those numbers laid out in a sequence:
[tex]2, 1, 0, -1, -2, -3, -4[/tex]
Here, the middle of these values is -1, and this is the midpoint of the [tex]y[/tex] values.
So if we put these two values in a coordinate, we get the midpoint of the line.
In this case, we get [tex](-\frac{3}{2} ,-1)[/tex].
Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection. Which function f represents the relationship between the number of stamps (s) and the number of weeks (w)?
A.
s = f(w) = 12 + 4w
B.
w = f(s) = 12s + 4
C.
s = f(w) = 12 + 4s
D.
w = f(s) = 12w + s
E.
s = f(w) = s – 12
The function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection.
The number of stamps is s and the number of weeks is w.
s = f(w) = 12 + 4w
Because Every week, he adds 4 more stamps to the collection
Thus, the function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.
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