The probability that a randomly selected finishing time is greater than 80 seconds is 0.84.
How to calculate the probability?Mean = 87
Standard deviation = 7
We convert this to standard normal as
P( X < x) = P( Z < x - Mean / SD)
Since, 80 = 87 - 7
80 is one standard deviation below the mean.
Using the empirical rule, about 68% of data falls between 1 standard deviation of the mean. So, 32% is outside the 1 standard deviation of the mean, and 16% is outside to either side.
We have to calculate P( X > 80) = ?
That is probability of all values excluding lower tail of the distribution.
P(X > 80) = 68% + 16%
= 84%
= 0.84
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Please help explanation if possible
Answer:
N=18
Step-by-step explanation:
Hope it will help you
If it does pls give me Brainlest
Have a nice day
Answer:
18
Step-by-step explanation:
use the concept of similarity and enlargement.
[tex] \frac{15}{n} = \frac{5}{6 } [/tex]
[tex]n = \frac{15 \times 6}{5} [/tex]
[tex]n = 18[/tex]
An urn contains 5 blue marbles and 4 yellow marbles. One marble is removed, its color noted, and not replaced. A second marble is removed and its color is noted.
(a) What is the probability that both marbles are blue? yellow?
(b) What is the probability that exactly one marble is blue?
Answer:
(a)The probability that both marbles are blue=5/18
The probability that both marbles are yellow=1/6
(b)The probability that exactly one marble is blue=5/9
Step-by-step explanation:
Blue marbles=5
Yellow marbles=4
Total marbles=5+4=9
(a)
Probability of drawing first blue marble=5/9
Probability of drawing second blue marble without replacement=4/8
The probability that both marbles are blue
[tex]=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}[/tex]
Probability of drawing first yellow marble=4/9
Probability of drawing second yellow marble without replacement=3/8
The probability that both marbles are yellow
[tex]=\frac{4}{9}\times \frac{3}{8}=\frac{1}{6}[/tex]
(b)
The probability that exactly one marble is blue
=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)
The probability that exactly one marble is blue
=[tex]\frac{5}{9}\times \frac{4}{8}+\frac{4}{9}\times \frac{5}{8}[/tex]
=[tex]\frac{5}{18}+\frac{5}{18}[/tex]
=[tex]\frac{10}{18}=\frac{5}{9}[/tex]
What is the value of |-6|-|6| -(-6)
Answer:
6
Step-by-step explanation:
Solve the absolutes: |-6| becomes 6
and |6| doesn't change and still is 6
Substitute: 6-6-(-6)
- * - = +
6-6+6 = 6
Write 33/100 in a decimal
Answer:
it is .33
Step-by-step explanation:
take 33 and for each 0 move the decimal point like so
33.
3.3
.33
keep learning (:
If DF =61 and EF = 18 find DE
Answer: DE = 79
Concept:
Here, we need to know the idea of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
**Disclaimer** I assume that points D, E, F are collinear, thus they would form a segment and F would be the point between D and E. If it was, you may refer to my answers. If it was not, you may tell me and I will redo it.
Given information
DF = 61
EF = 18
Given expression deducted from the segment addition postulate
DE = DF + EF
Substitute values into the expression
DE = (61) + (18)
Simplify by addition
[tex]\boxed{DE=79}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
26) What is the perimeter of a rectangle whose
lengths are 9x + 5 and widths are 7x + 2?
Answer:
32х+14
Step-by-step explanation:
[tex]2(9x + 5 + 7x + 2) \\ 18x + 10 + 14x + 4 \\ 32x + 14[/tex]
Answer:
32x + 14
Step-by-step explanation:
The opposite sides of a rectangle are equal, so
perimeter = 2(9x + 5) + 2(7x + 2) ← distribute parenthesis
= 18x + 10 + 14x + 4 ← collect like terms
= 32x + 14
How many degrees must the flyswatter pass through before it is horizontal?
Answer:
90°
Step-by-step explanation:
assuming it's upright and you swat it down it will go down by 90°
En la tira están escritos los números de 1 a 40. Corta la tira en pedazos, de tal forma gue en cada uno de ellos queden a lo más dos números primos , Icośntos contes hiciste
Se debe realizar 6 cortes sobre la tira.
Una Tira es una pieza de papel cuya longitud es mucho mayor que su anchura. Un Número Primo es un Número Natural que solo es divisible por 1 y por sí mismo, mientras que un Número Compuesto se compone de Números Primos y es divisible además por otros números, tanto Primos como Compuestos.
Realizamos el ejercicio siguiendo las siguientes consideraciones:
1) Escribimos los primeros 40 Números Naturales en orden ascendente.
2) El primer número del primer segmento de tira es el 1 y contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.
3) El resto de segmentos de tira comienza con un Número Primo, contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.
Los números primos entre 1 y 40 son 3, 5, 7, 11, 13, 17, 19, 21, 23, 29, 31, 33, 37.
Los segmentos de tira son los siguientes:
1) 1, 2, 3, 4 (1 número primo)
2) 5, 6, 7, 8, 9, 10 (2 números primos)
3) 11, 12, 13, 14, 15, 16 (2 números primos)
4) 17, 18, 19, 20 (2 números primos)
5) 21, 22, 23, 24, 25, 26, 27,28 (2 números primos)
6) 29, 30, 31, 32 (2 números primos)
7) 33, 34, 35, 36, 37, 38, 39, 40 (2 números primos)
El número de cortes ([tex]n[/tex]) se determina mediante la siguiente fórmula:
[tex]n = s - 1[/tex] (1)
Donde [tex]s[/tex] es el número de segmentos de tiras.
Si sabemos que hay 7 segmentos de tiras, entonces se debe realizar 6 cortes.
Preguntas relacionadas: https://brainly.com/question/1885560
Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean
(a) Find endpoints of a t-distribution with 5 % beyond them in each tail if the sample has size n = 12.
(b) Find endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20.
Answer:
a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.
b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.
Step-by-step explanation:
Here the answer is given as follows,
Nhà trường muốn đánh giá tỉ lệ chăm học của sinh viên (trong một tuần). Khảo sát 236 sinh viên thì thấy có 32 sinh viên chăm học. Hãy ước lượng khoảng đối xứng cho tỉ lệ sinh viên chăm học của trường với độ tin cậy 95%
Answer:
can't understand the language
If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two years
Answer:
Solution given;
principal [P]=$125,000
depreciated rate[R]=7.5%
time[t]=2 years
worth price of house [A]=???
we have
Worth price[A]=[tex]\large \bold P(1-\frac{R}{100})^{t}[/tex]
=[tex]125,000(1-\frac{7.5}{100})^{2}[/tex]
=125,000*0.925²
=125,000*0.855625
=106953.125
its worth price is $106953.125PLEASE HELP!!!
Evaluate each expression.
(252) =
Answer:
1/5
Step-by-step explanation:
Complete the remainder
Answer:
-14 is the answer for the second term (?)
Find the numerical value of the area under the normal curve given the following information:
less than z = -0.06
enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234
Answer:
.4761
I have a feeling that you are not quite getting the concept of these questions
a "Z" table "maps" a value (x-mu/sigma) to a number on a z-table chart
Your calculator has the function but the chart is simple for this questions
the numbers IN the chart represent "the percent UNDER THE NORMAL CURVE"
a z =0 is the MIDDLE so it is 50%
your questions is negative so it is to the left of the "middle"
all you have to do is find the z number on the chart and that is the answer to this question
Step-by-step explanation:
Which function has a domain and range that includes all real values?
Answer:
the third one
the line extends in both ways forever
Betadine solution is a 10% povidone-iodine solution. Express this strength both as a fraction and as a ratio.
Step-by-step explanation:
Fraction =
[tex] \frac{10}{100} = \frac{1}{10} [/tex]
Ratio is 1 : 10
The radius of a circle is increasing at the rate of 0.1 cm/sec. At what rate is the area
increasing at the instance when r=5cm?
Answer:
3.1416
Step-by-step explanation:
A=pi*r^2, differentiate with respect to t both sides
dA/dt=2*pi*r*dr/dt
dA/dt=2*pi*5*(0.1)
dA/dt=pi=3.1416 cm^2/sec
Step-by-step explanation:
since the user is listed as beginner, I was wondering, if (while correct) the answer should be based on differentiation (rather advanced topic).
I thought originally this would be about sequences.
and I wondered about the start value.
in any case, here a different view.
the area of a circle is
Ac old = pi × r²
now, r is increasing by 0.1
Ac new = pi×(r+0.1)² = pi×(r² + 0.2r + 0.01) =
= pi×r² + pi×0.2r + pi×0.01 =
= Ac old + pi×0.2r + pi×0.01
so, the increase of the area is
pi×0.2r + pi×0.01
for r=5
pi×0.2×5 + pi×0.01
pi×1 + pi×0.01 = pi + p×0.01 = pi×(1 + 0.01) =
= pi×(1 + (radius change)²)
now, it depends on what your teacher wants to see here.
a "digital stair case" 0.1 by 0.1 increase/sequence approach ?
in this case you might also want to calculate the above with r=4.9 (as only with the last 0.1 step r reaches 5).
and either the r=4.9 (result a tiny bit less than pi) or r=5 (result a tiny bit larger than pi) is correct, of simply the value in the middle (practically pi).
or it was meant to be a continuous increase (not step by step).
in which case we need then to calculate the limit with "radius change" going to 0. which delivers pi as rate result (as with the differentiation).
Luisa and Rachelle are competing for employee of the month. It is the last week, and the employee who processes the most client accounts will win. Luisa processed 15 accounts Monday, 22 accounts Tuesday, and 17 accounts Wednesday. Rachelle processed 24 accounts Monday, 18 accounts Tuesday, and 11 accounts Wednesday. Who has processed the most accounts this week, and by how many
Answer:
Luisa processed the most accounts this week, by 1.
Step-by-step explanation:
Luisa:
15 on Monday, 22 on Tuesday and 17 on Wednesday.
So a total of 15 + 22 + 17 = 54.
Rachelle:
24 on Monday, 18 on Tuesday, 11 on Wednesday.
So a total of 24 + 18 + 11 = 53.
Who has processed the most accounts this week, and by how many?
54 - 53 = 1, so Luisa processed the most accounts this week, by 1.
What is the end behavior of the function f(x)=54x2?
9514 1404 393
Answer:
as x → ±∞, f(x) → ∞
Step-by-step explanation:
The function is of even degree, so the end behavior is the same for x → ±∞. The leading coefficient is positive, so the end behavior is f(x) → +∞.
A Circuit has a 5000 V power supply(AC), A load resistance of 4 ohms and open switch how much Current will flow in a circuit as it is ?
Answer:
1250 amps
Step-by-step explanation:
V = 5000 V
R = 4 ohms
Use ohms law: V = IR
5000 =I(4)
I = 1250 amps
the perimeter of a square is less than or equal to 50 find the range of the value of the length of the square
Answer:
12.5 ≥ s >0
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
50 ≥ 4s
Divide each side by 4
50/4 ≥ 4s/4
25/2 ≥ s
12.5 ≥ s
Use the Pythagorean theorem to find the missing lengths in the diagram below.
Answer:
anser b
Step-by-step explanation:
i had it
Answer:
x = √74
y = √17
Answered by GAUTHMATH
find lub and glb of the following set E={0.2, 0.23, 0.234, 0.2343, 0.23434, 0.234343,.....}
The lub is 0.23[tex]\mathbf{\overline{43}}[/tex], while the glb is 0.2
The given set is presented as follows;
E = {0.2, 0.23, 0.234, 0.2343, 0.23434, 0.234343,...}
The least upper bound, lub, of a set, E, is known as the supremum of the set which is the number B such that all x ∈ E are of the value x ≤ B, while there all y ∈ E has a x ∈ E such that t < x
Therefore;
The supremum, lub of the given set is 0.23[tex]\overline{43}[/tex]
The greatest lower bound, glb, b, also known as the infimum, is defined as follows;
b is the greatest lower bound if for all x ∈ E then x ≥ b
Given that b < t, then where x ∈ E, there exist a x < t
The glb of the given set is 0.2
Learn more about lub, supremum, glb, infimum, here;
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The question is in the screenshot
Answer:
AC is about 4.29
Step-by-step explanation:
we need to use simple trigonometry for this problem
the tangent of an angle is the ratio between the opposite side and the adjacent side
so the tangent of the angle 35º is BC / AC
tan(35) is about 0.7
this means that BC / AC = 0.7
we know BC is 3
so 3 / AC = 0.7
3 = 0.7(AC)
AC is about 4.29
Use the function below to find f(3).
f(x) = 3.4^x
Step-by-step explanation:
Hey there!
[tex]f(x) = 3. {4}^{x} [/tex]
Then;
[tex]f(3) = 3. {4}^{3} [/tex]
[tex]f(3) = 192[/tex]
Therefore, f(3) = 192.
Hope it helps!
what value of x is in the solution set of 8x-6>12+2x
Answer:
x>3
Step-by-step explanation:
8x - 2x > 12+ 6
-> 6x > 18
-> x > 3
[tex] \: \: \: \huge \rm{answer: \blue{ \boxed{ \rm{ \pink{x > 3}}}}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge \blue{ \boxed{ \pink{\boxed{ \rm{ \blue{armed }\: account}}}}}[/tex]
➙[tex] \huge \rm8x-6>12+2x \\ \rm \huge8x-2x>12+6 \\ \huge\rm6x>18 \\ \huge \boxed{\rm{x>3}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Step-by-step explanation:
[tex] \huge \boxed{ \boxed{\rm{Hope \: this \: helps}}}[/tex]
construct thruth table for each of the following Statement
Rhonda I just got home from
Solve for x
Answer options:
4
5
8
3
2
Answer:
But the answer is 42
I did I got 42 .
:(
Does the graph represent a function and if so, why?
A) Yes, there is more than one ordered pair in this list.
B) Yes, no two sets of ordered pairs occupy the same location.
C) No, some of the ordered pairs in this list have the same second element.
D) No, some of the ordered pair in this graph have the same first element.
Answer:
D
Step-by-step explanation:
if you draw any vertical line through a function it should have a max of one intersection point so if the graph, reading from left to right doubles back on itself, it is not a function
17. A hospital trauma center is going to be built equidistant from three cities. Positioned on a grid, the cities would be located at (1, 5), (2, -2), and (-6, -2). What are the coordinates of the location where the trauma center should be built? A (-2, -1) C (2, -1) B (-2, 1) D (2.1)
9514 1404 393
Answer:
B (-2, 1)
Step-by-step explanation:
The trauma center will be located at the circumcenter of the triangle. That is the point of intersection of the perpendicular bisectors of the sides. Once the points are graphed, it is pretty easy to see where that will be. It is on the line x=-2, above the x-axis. Only one answer choice is appropriate:
(-2, 1)
_____
Line AC has a slope of 1. Those points are separated by 7 units horizontally and vertically, so the midpoint is 3.5 units horizontally and vertically from either point, at (-2.5, 1.5). The perpendicular line with slope -1 through that point will intersect x=2 at y=1.
