Answer:
0.0485 = 4.85% probability that you miss the bus.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We have to find the distribution for the difference in times between when you arrive and when the bus arrives.
You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:
[tex]\mu = 0 - 5 = -5[/tex]
The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So
[tex]\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?
You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - (-5)}{\sqrt{13}}[/tex]
[tex]Z = \frac{6}{\sqrt{13}}[/tex]
[tex]Z = 1.66[/tex]
[tex]Z = 1.66[/tex] has a pvalue of 0.9515
1 - 0.9515 = 0.0485
0.0485 = 4.85% probability that you miss the bus.
If someone makes as many slices of toast as possible in 4 minutes and 40 seconds, how many slices do think they can make
Answer:
If they can do x slices per second, they could do 280x slices
Step-by-step explanation:
4 min 40 sec -> 280 secs
280 * 5 = 1400
find the circumference of the circle to the nearest tenth
Answer:
34.6
Step-by-step explanation:
Answer:
It will be 34.6 by my opinion
please please help me I will mark brainlist !!
Answer:
9. B. 32 millimeters
10. C. 7 inches
11. C. 56.24 millimeters
13. B. 14.13 square feet
Step-by-step explanation:
9. Radius of a circle or any circular shape = ½ of its diameter
Diameter of the disk = 64 millimeters
Radius of the disk = ½(64) = 32 millimeters
10. Width of the cooler = 6 in.
Length = 8 in.
Volume = 336 in.³
Height = ?
Formula for volume of a rectangular prism = L*W*H
Plug in the values
336 = 8*6*H
336 = 48*H
Divide both sides by 48
336/48 = H
H = 7 inches
11. A dime has a circular shape
The circumference of the dime = circumference of a circle = πd
Where,
d = 17.91 millimeters
π = 3.14
Plug in the values
C = 3.14 × 17.91 = 56.2374
≈ 56.24 millimeters (nearest hundredth)
12. Area of the top of the desk = area of semicircle = ½ × πr²
Where,
r = ½(6) = 3 ft
π = 3.14
Plug in the values
Area = ½ × 3.14 × 3² = ½ × 3.14 × 9
Area = 14.13 square feet
the 20% tip on a $8 sandwich
Answer:
Tip of $1.60
The total is $9.60
Step-by-step explanation:
(20% × $8) + $8
$1.60 + $8
$9.60
What makes a circle a special kind of geometric figure?
Answer:
it is unlike other shapes
Step-by-step explanation:
it has no egdes,vertices etc.
Let f(x) = x-9
Find (f o f)(x) and its domain
(f o f)(x) =
Answer:
Step-by-step explanation:
PLEASE HELP ;(
If x varies directly as y, find
x when y = 8.
x = 11 when y = -3
X =
Answer:
1638 or 1368!
Step-by-step explanation:
Find the value of x
Answer:
x=80
Step-by-step explanation:
(x+30)=110 because they are vertically opposite angles.
x+30=110
x=110-30
x=80
Answer:
x = 80 degrees
Step-by-step explanation:
x + 30 = 110
- 30 = -30
x = 80 degrees
A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes per month). Studies have shownthat 80% of the people who were Low users one month will be Low users the nextmonth, and that 70% of the people who were High users one month will be Highusers the next month.
(a) Set up the 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions
(b) Suppose that, during the month of January, 50% of the customers were Low users. What percent of the customers will be Low users in February? In March? (Type an integer or decimal for each matrix element.)
1. The stochastic matrix for the given transitions is:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
2. 40.0% people in February and 32.0% people in March will be the low users if there are 50% low users in January.
It is given that,
80% of the people who were Low users one month will be Low users the next month.
That means for the transition low-low (L-L)
p = 0.80
So, for Low-high transition (L-H)
p = 1-0.80 = 0.20
It is also given that 70% of the people who were High users one month will be High users the next month.
That means, p = 0.70 for the transition high-high (H-H)
Then for H-L transition, p = 1-0.70 = 0.30
(a) The 2x2 stochastic matrix for these transitions is:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
(b) Given that 50% users are the low users in month of January.
[tex]\text{Percent of the customers will be Low users in February}= (\text{low users in month of January} \times \text{Probability of L-L transition.}) \times 100\%[/tex]= (0.50 x 0.80)x100%
= 0.4x 100%
=40.0%
Now, the percentage of people who will be low users in the month of march = (low users in February x probability of L-L transition)x100%
=(0.40x0.80)x100%
=0.32x100%
=32.0%
Hence, the percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.
Therefore, the results are:
1.2x2 stochastic matrix for the transitions is as:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
2. The percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.
Learn more about stochastic matrix here:
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WILL MARK BRAINLIEST
The number of students in 10 kindergarten classes is shown below
20, 18, 21, 18, 22, 24, 18, 23, 23, 24,
What is the median number of students in the kindergarten classes?
What number of students describes the first quartile
what number of students describes the third quartile
what number of students describes the interquartile range
22 (what number is in the middle one you put it in ascending order)
18 (the first quartile is the first quarter of the sorted list)
23 (the third quarter, the number in between the last number and the median)
5 (the range between quartile 1 and quartile 3)
Have a great day <3
A store gives customers a markup of 13%. If the store sells a belt for $25, what was the wholesale price paid for the belt by the store?
Answer:
$22.12
Step-by-step explanation:
Let x be the wholesale price (the price before adding the markup).
The markup is 13%, so 13% of x is added to x.
x + 13%x = $25
x + 0.13x = 25
1.13x = 25
x = 25/1.13
x = 22.12
What is the value of the discriminant? 3y2 = 8y + 2
−40
56
72
88
Answer:
88
Step-by-step explanation:
a = 3
b = -8
c = -2
(-8)² 4(3)(-2) = 64 + 24
in the diagram below given that XY = 30cm, XZY =30° and YZ = x, is it possible to solve for x using the theoram of pythagoras
Answer:
No, you need to know another angle to prove that it is a right triangle to use the Pythagorean theorem.
If you did have an additional side length, that needed angle could be calculated and then use the Pythagorean to prove.
express y as a function of x.
I keep getting hairy answers and I'm not sure I'm doing this correctly
Answer:
[tex]y = 7x - \frac{2}{6}[/tex]
Step-by-step explanation:
In y = (1)/(2) (3x+4) - (1)/(3) (x+7)
y = 7x-2/6 (Solving for y)
x = 6y/7 + 2/7
Answer:
4 ln y = 1/2 ln (3x + 4) - 1/3 ln (x + 7) + ln C4 ln y = ln [C*(3x + 4)[tex]^{1/2}[/tex]/(x + 7)[tex]^{1/3}[/tex]]ln y = 1/4 ln [C*(3x + 4)[tex]^{1/2}[/tex] / (x + 7)[tex]^{1/3}[/tex]]ln y = ln [C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]]y = C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]or
y = [tex]\sqrt[24]{C^6(3x + 4)^3/(x + 7)^2}[/tex]Find the slope of the line.
Answer:
1/3 is the slope
Step-by-step explanation:
hope this helps
Consider the point on the polar graph below.
Represent the point's location in the polar form (r,θ) where 0≤r<50 and 0≤θ<2π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and 2π≤θ<4π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and −2π≤θ<0.
(r,θ)=
J0IN G00GLE MEET GIRL$
wnp-hxru-ipf
according to the Michigan DNR, the wolf population on Beaver Island can be modeled by the equation P= 1300(.87)^x. Is the population increasing or decreasing, and by what percent?
Answer:
The population is decreasing by 13%.
Step-by-step explanation:
The standard exponential equation can be modeled by:
y = A(1 ± r)^x
please help me asap
Answer C
Step-by-step explanation:
Find each angle measure
Answer:
angle 1 = 63°
angle 2 = 117°
angle 3 = 63°
Step-by-step explanation:
angle 2 = 117° (vert.opp.angles)
angle 1 = angle 3 (vert.opp.angles)
angle 1 + angle 2 + angle 3 + 117° = 360°
angle 1 + 117° + angle 3 + 117° = 360°
angle 1 + angle 3 = 360° - 117° - 117°
angle 1 + angle 3 = 126°
angle 1 = 63°
angle 3 = 63°
How are land parcels valued?
What is the range of this function?
{(-2,3), (0,1), (1, -2), (2,5)}
Answer:
3,1,-2,5
Step-by-step explanation:
The range means the y number of the domain (x)
Answer:
Hi! The answer to your question is {3,1,-2,5)
Step-by-step explanation:
The Domain is a set of all the values of x. The Range is a set of all the values of y.
Hope this helps **™
- Brooklynn Deka
❣❣❣
Graph the function f(x)= -³√x+2.
Answer:
Step-by-step explanation:
Please help! What is the area of this figure?
Answer and explanation please! <3
Answer:
19 units²
Step-by-step explanation:
Divide into three shapes:
Large rectangle BEFA
Large triangle - BCE
Small triangle - CDE -
BEFA = 4x3 = 12
BCE = 1/2x4x2 = 4
CDE = 1/2x3x2 = 3
12+4+3=19
1 Jack checked out the price of a particular music system at five different stores. $370, $475, $445, $465, $380 What is the mean price of the music system? A. $445 B. $427 C. $475 D. $370
Answer:B. $427
Step-by-step explanation:
370+475+445+465+380=2135
2135/5=427
Answer:
430
Step-by-step explanation:
I did the measure of center thing
Convert 360°F to °C, rounded off to the nearest 10°C.
Answer:
360 Fahrenheit is equal to 182.222 Celcius, round it to 182
Step-by-step explanation:
PLEASE HELP!!
Solve for m
m+7=3+m+4
Answer:
M = -7
Step-by-step explanation:
It makes sense if you replace it in for M! Hope this helps and have a great day!
5 times a number plus 4
Answer:
29
Step-by-step explanation:
5 x 5+4
=25+4 =29
Can you help me, please?
Answer:
The first one is two over four
Step-by-step explanation:
HELP PLEASE THIS IS DUE IN 15 MIN!!!!!!!!!!!
look at the picture
Answer:
c reflexive property
if you look at it it's reflecting
=============================================================
Explanation:
For statement 1, we'll have angle O congruent to angle M. This is visually given by the angle arcs that are the same.
For statement 2, we'll have segment OL congruent to segment LM. This is also given because of the tickmarks on the segments to show they are the same length.
In statement 3, angle KLO is congruent to angle MLN. The reason for this is they are vertical angles. So if your teacher was asking about what goes for reason 3, then you would be correct in selecting choice A.
The actual answer is choice B) ASA because we have two pairs of congruent angles (refer to statements 1 and 3 mentioned earlier); between those angles for each triangle we have a pair of congruent segments (refer to statement 2). So that's why we go for ASA. As you can probably guess, "A" stands for "angle" and "S" stands for "side". The order matters. The side must be between the angles in question. This means AAS is slightly different than ASA.
Side note: The reflexive property is the idea that any segment or angle is congruent to itself. It's not used at all here, but it's useful in other situations.
Another side note: CPCTC stands for "corresponding parts of congruent triangles are congruent". It basically means that if two triangles are congruent, then the pieces that match up together are congruent as well.
A ball is thrown into the air with an upward velocity of 24 ft/s. It’s height H in feet after T seconds is given by the function h=-16t^2+24t+6. How long does it take the ball to reach its maximum height? What is the balls maximize? Round to the nearest hundredth, if necessary
A. 0.75s;12 ft
B. 0.75s;33 ft
C.1.5 s;6 ft
D. 0.75 s; 15 ft
Answer:
D
Step-by-step explanation:
You can graph this function on a calculator and and find its max by finding the peak of the parable and the x value at the point