Answer:
45
Step-by-step explanation:
just add them but why is there a I
Answer:
41+5i
Step-by-step explanation:
Combine like terms; 9+11+21.
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.
, 52, 24, 5, 72, 49, 529
Find the range of the data set.
[tex]range=524.[/tex]
Step-by-step explanation:
[tex]range \: is : max - min \\ the \: range \: is \: : 529 - 5 = 524. \\ regards \\ ♨Rage♨[/tex]
The range of the given data set comes to be 524.
The given data set is: 52, 24, 5, 72, 49, 529
What is the range of a data set?The range of a data set is the difference between the maximum and minimum value of that data set.
The maximum value of the given data set = 529
The minimum value of the given data set = 5
The difference between the maximum and minimum value of that data set=529-5 =524
So, the range of the data set =524
Therefore, the range of the given data set comes to be 524.
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A man and a woman agree to meet at a certain location about 12:30 PM. Suppose the man arrives at a time uniformly distributed between 12:15 and 12:45. Suppose the woman independently arrives at a time uniformly distributed between 12:00 and 1 PM. Find the probability that the man arrives first.
Answer:
The probability that the man arrives first is 0.50.
Step-by-step explanation:
Let X denote the arrival time of the man and Y denote the arrival time of the woman.
It is provided that:
[tex]X\sim U[15,45]\\\\Y\sim U[0,60][/tex]
The pdf of X an Y are:
[tex]f_{X}(x)=\frac{1}{45-15}=\frac{1}{30};\ 15<X<45\\\\f_{Y}(y)=\frac{1}{60-0}=\frac{1}{60};\ 0<Y<60[/tex]
It is provided that X and Y are independent of each other.
Then the joint pdf of X and Y is:
[tex]f_{XY}(x,y)=f_{X}(x)\times f_{Y}(y)\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{30}\times \frac{1}{60}\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{1800};\ 15<X<45,\ 0<Y<60[/tex]
Compute the probability that the man arrives first as follows:
[tex]P(X<Y)=\int\limits^{45}_{15} {\int\limits^{60}_{x} {\frac{1}{1800}} \, dy } \,dx[/tex]
[tex]=\frac{1}{1800}\times \int\limits^{45}_{15} y|^{60}_{x} \,dx\\\\=\frac{1}{1800}\times \int\limits^{45}_{15} {60-x} \,dx\\\\=\frac{1}{1800}\times |60x-\frac{x^{2}}{2}|^{45}_{15}\\\\=\frac{(1687.5-787.5)}{1800}\\\\=\frac{900}{1800}\\\\=\frac{1}{2}\\\\=0.50[/tex]
Thus, the probability that the man arrives first is 0.50.
help help help help help
Answer:
X=28 and <EBC= 62º
Step-by-step explanation:
2x+6+x=90
3x+6=90
3x+6-6=90-6
3x=90
3x/3=90/3
x=28
90-28=62
or
2(28)+6
56+6
<EBC= 62
On average, Claire drinks į of an 12-ounce glass of water in 24 hours. How many
glasses of water does she drink in one hour? Enter your answer as a whole number,
proper fraction, or mixed number in simplest form.
Help me please Brainliest to you
Answer:
1/2
Step-by-step explanation:
12÷24 = 0.5 = 1/2
What is negative 4 and 4 twenty fifths as a decimal?
Answer:
Negative 4.16 will be the answer
What is elevation of tammys house
L
At a carnival, Boris bought 14 packs of 9 tickets each. He also found 7 more tickets on the ground. How many tickets did Boris have in all?
A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs). How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg
Answer:
5 capsules
Step-by-step explanation:
A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).
Step 1
We convert the capsules form grams to milligrams
1 gram = 1000 milligrams
0.250grams = x
Cross Multiply
x = 0.250 × 1000 milligrams
x = 250 mg
Hence, 1 capsule = 250 mg
How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg
The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).
The child weighs 69 pounds
1 pound = 0.453592 kg
69 pounds = x kg
Cross Multiply
x kg = 69 × 0.453592kg
x kg = 31.297848kg
Hence,
1 kg= 40.0 mg
31.297848 kg = x
x = 31.297848 × 40.0mg
x = 1251.91392mg
Therefore, the child would take 1251.91392 mg
From the first calculation we know that:
1 capsule = 250 mg
250mg = 1 capsule
1251.91392 mg = x capsules
250mg × x = 1251.91392 mg × 1 capsule
x = 1251.91392 mg/250mg
x = 5.00765568 capsules
Approximately = 5 capsules
Hence, a child that weighs 69 pounds takes 5 capsules of keflex
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.4. What is the probability that no more than a fourth of the entry forms will include an order
0.1998 is the probability that no more than 4 of the entry forms will include an order.
Given the following information:
Treat subscription order with an entry form as a success.
P(subscription order with an entry form) = 0.4
Then the number subscription order with an entry form follows a binomial distribution, where
[tex]P(X = x) = nC_xp^x(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
Here, n = 16
[tex]P (x \leq 4) = P(x = 0) + P (x = 1) + P(x = 2) + P(x = 3)[/tex]
= [tex]16C_00.4^0(1-0.4)^{16} + 16C_10.4^1(1-0.4)^{15} + 16C_20.4^2(1-0.4)^{14}+ 16C_30.4^3(1-0.4)^{13}[/tex]
= 0.00028 + 0.0030 + 0.150 + 0.0468
= 0.1998
0.1998 is the probability that no more than 4 of the entry forms will include an order.
Know more about binomial distribution,
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0.04 is 10 times as much as?
Answer:
0.004
Step-by-step explanation:
10*0.004=0.04
hope this helps
Answer:
0,004 i think
Step-by-step explanation:
Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 100 times. The probability that the average transport time was bigger than 27 minutes is
Answer: 0.9772
Step-by-step explanation:
Let X be a random variable that represents the transport time .
We assume X is normally distributed with a mean [tex]\mu=28\text{ minutes}[/tex] and a standard deviation [tex]\sigma=5\text{ minutes}[/tex].
Sample size : n= 100
The probability that the average transport time was bigger than 27 minutes:
[tex]P(\overline{X}>27)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{27-28}{\dfrac{5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-1}{\dfrac{5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>-2)=P(Z<2)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.9772\ \ \ [\text{By p-value table}][/tex]
Hence, the required probability =0.9772
A 9-meter by 11-meter rectangular garden has a one-meter wide walking path all around it (outside the garden). What is the area of the walking path?
The table shows the cost of long distance calls
Answer:
nnnvvg
Step-by-step explanation: mm
The scores on a psychology exam were normally distributed with a mean of and a standard deviation of . About what percentage of scores were less than . The percentage of scores that were less than was
Complete Question
The scores on a psychology exam were normally distributed with a mean of 59 and a standard deviation of 6. About what percentage of sores were less than 53. The percentage of scores that were less than 53 was %. (Type an integer or a decimal.
Answer:
The value is [tex]P(X < 53) = 0.15866[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 59[/tex]
The standard deviation is [tex]\sigma = 6[/tex]
Generally the percentage that were less than 53 is mathematically represented as
[tex]P(X < 53) = P(\frac{X - \mu }{\sigma } < \frac{ 53 - 59 }{ 6 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(X < 53) = P(Z < -1 )[/tex]
Generally the probability of (Z < -1 ) is
[tex]P(Z < -1 ) = 0.15866[/tex]
=> [tex]P(X < 53) = 0.15866[/tex]
45 books in 5 shelves =per books
Answer:
in total there are 225 books if that's what you're asking?
pls I rly need help LOOL
Answer:
90mph
Step-by-step explanation:
15 times 6, will u answer my question on my page
is -57.25 a rational number
The perimeter of a rectangle shown below 23 feet what is the missing side length
Answer:
[tex]n = 7\frac{1}{4}[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have:
[tex]Length = 4\frac{1}{4}ft[/tex]
[tex]Width = n[/tex]
[tex]Perimeter = 23fr[/tex]
Required
Determine n
Perimeter is calculated as:
[tex]Perimeter = 2(Length + Width)[/tex]
Substitute in values
[tex]23 = 2(4\frac{1}{4} + n)[/tex]
Convert to decimal
[tex]23 = 2(4.25 + n)[/tex]
Open Bracket
[tex]23 = 8.5 + 2n[/tex]
Collect Like Terms
[tex]2n = 23 - 8.5[/tex]
[tex]2n = 14.5[/tex]
[tex]n = 14.5/2[/tex]
[tex]n = 7.25[/tex]
[tex]n = 7\frac{1}{4}[/tex]
0.6667 into a fraction?
The measure of an angle’s supplement is 84° more than the angle. Find the measure of
the angle and its supplement
Answer:
angle = 48 supplement = 132
Step-by-step explanation:
Answer:
angle 48 and supplement 132
I'm giving away a free brainliest to the hardest question ever (or just a question I don't know the answer to). I do Kumon so I'm pretty good at math (forgot to mention it has to be a math question) so good luck! Instead of typing questions in the chat, please type the question by answering this. :) Have fun! and good luck!
Answer:
Step-by-step explanation:[tex]8000000^{9090}[/tex] +98989898989
(If you don't think this is legit, just search up Chinese math question)
If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?
To answer this question correctly would truly be an accomplishment.
Hope this helps, if not, comment down below please!!!
(cast your answer down below pls)
:L
2) The perimeter of a rectangle is 52 feet.
The length and width are represented by
two consecutive even integers. Find the
dimensions of the rectangle .
Answer:
12 feet and 14 feet
Step-by-step explanation:
Let a and b be the length and width of a rectangle
a and b are consecutive even integers
a=x, b=x+2
perimeter=52
2*(a+b)=52
2*(x+x+2)=52
2x+2=26
2x=24
x=12
a=12
b=x+2=14
Answer:
dimensions of the rectangle are 12 ft by 14 ft
Step-by-step explanation:
Let's name our unknowns :
width = x and therefore, the length according to the information given will be of size x + 2 (consecutive even integer).
Then the perimeter (addition of all four sides of the rectangle) will be the sum:
x + (x + 2) + x + (x + 2) = 52
combining like terms:
4 x + 4 = 52
subtracting 4 on both sides
4 x = 52 - 4
4 x = 48
x = 48 / 4
x = 12
so the width is 12 feet and the length must be 2 feet larger, that is: 14 feet
Then the dimensions of the rectangle are 12 ft by 14 ft.
A whole foods company sends an email survey to all customers who purchase a certain brand of vitamins each month. The previous month, 523 people purchased this brand of vitamins.
Surveys were sent to 112 of these people, chosen at random, and 96 people responded to the survey. Identify the population and the sample. (1 point)
The population is 112 and the sample is 96.
The population is 523 and the sample is 96.
The population is 523 and the sample is 112.
The population is 112 and the sample is 523.
O
Answer: The population is 523 and the sample is 112.
Step-by-step explanation:
In statistical parlance, a population is referred to as all the entire individuals or subject which makes up a certain group of interest. In the scenario above, the group of interest refers to the consumers who buys the vitamin brand each month. Hence, the population encompasses all the buyers for for a particular month which sums up to 523 customers.
The sample is a subset culled from the population. It refers to a smaller group of individuals or subject which are chosen by a sampling method from the entire population. In the scenario above, the number of randomly selected consumers who were sent surveys are the sample. The fact that not all those who were sent surveys responded does not change the fact that they were randomly selected from the larger population pool and will hence be considered to be a part of the sample.Hence the sample is 112.
Point A(9,-6) is translated using the rule (x+3, y-7) then it is reflected across the x-axis. What are the coordinates of its final image?
Answer:
The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].
Step-by-step explanation:
From Linear Algebra, we define reflection across the x-axis as:
[tex](x',y') = (x, -y)[/tex], [tex]\forall \,x,y\in\mathbb{R}[/tex]
According to the statement of problem, the following operation of translation:
[tex](x',y') = (x+3, y-7)[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]
Where:
[tex](x,y)[/tex] - Original point, dimensionless.
[tex](x',y')[/tex] - Translated point, dimensionless.
If we know that [tex]A(x, y) = (9, -6)[/tex], we proceed to make the abovementioned operations:
Translation
[tex](x', y') = (9+3,-6-7)[/tex]
[tex](x',y') = (12, -13)[/tex]
Reflection
[tex](x'', y'') = (x',-y')[/tex]
[tex](x'', y'') = (12, 13)[/tex]
The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].
Flying against the jetstream, a plane travels 3,132 miles in 9 hours. The same plane flying with the jetstream travels 1.5 times the distance it traveled going against the jetstream. If the plane travels 435 miles per hour, what is the speed of the jetstream?
Answer: 87
Step-by-step explanation:
3,132/9 = 348
348x1.5 = 522
522-435 = 87
i think?
Race the Turtles. Then complete the following statements. The speed of a turtle can be found by _____distance by time. The speed of the winning turtle was _____the speed of the other two turtles.
Options for first blank
Adding
Subtracting
Multiplying
Dividing
Options for blank two
Slower than
The same speed as
Faster than
Answer:
1. dividing
2. faster than
Step-by-step explanation:
Edge 2020
Answer:
The speed of a turtle can be found by distance by time.
adding
subtracting
multiplying
✔ dividing
The speed of the winning turtle was the speed of the other two turtles.
slower than
the same speed as
✔ faster than
1) Find the ratios for sin A, cos A, and tan A for the triangle below.
C
6
A
sin A=
8
10
COS A =
B
tan A =
Answer:
Sin A = 8/10 or 4/5
Cos A = 6/10 or 3/5
Tan A = 8/6 or 4/3
−3(4r − 8) = −36 What is happening to my variable?(In order)
Answer:
r = 5
Step-by-step explanation:
-12r + 24 = -36
-12r = -36 - 24
12r = 60
r = 5
Hope this helps!
Have a nice day!
If you find this helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
The time it takes a printer to print a job is an Exponential random variable with the expectation of 15 seconds. You send a job to the printer at 4:00 pm, and it appears to be forth in line. What is the probability that your job will be ready before 4:01 pm
Answer:
0.56652
Step-by-step explanation:
Given that :
1 job takes 15 seconds
x jobs will take 60 seconds
15x = 60
x = 4
4 jobs take 60 seconds
μ = 4
Job is 4th in line :
Find the probability of ;
P(x ≥ 4) = 1 - [P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)]
P(μ, x) = [(e^-μ) * (μ^x)] ÷ x!
Using the poisson distribution calculator :
P(x< 3) = 0.19537
P(x< 2) = 0.14653
P(x< 1) = 0.07326
P(x< 0) = 0.01832
Hence,
P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)
= 1 - (0.19537 + 0.14653 + 0.07326 + 0.01832)
= 1 - 0.43348
= 0.56652
options are A, B, C, E, H
WHICH ONES ARE CORRECT?
Answer:
A or C
Step-by-step explanation:
