Answer:
a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02
Expected frequency of losses per semester = 11.7 losses per semester
b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02
Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378
Variance = 35.61
c. As losses equal $60, expected losses per semester = 11.7*$60 = $702
d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500
4. Solve this equation for x. Please show work. 4√x + 3 + 3 = 15
Answer:
i don't know sorry b a b y g i r l
Step-by-step explanation:
y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6
Answer:
y=54+7
Step-by-step explanation:
What is the equation of the circle with a radius of 4 and a center at (3, 2) ?
Answer:
(x - 3)^2 + (y + 2)^2 = 16
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
r = radius
(h, k ) is center of circle.
The center of the circle is (3, 2) and r is 4.
(x - 3)^2 + (y + 2)^2
16
Best of luck :3
The relationship is “hours multiplied by
equals the number of dogs.”
Answer:
3
Step-by-step explanation:
Answer:
The relationship is “hours multiplied by
3
equals the number of dogs.”
Step-by-step explanation:
determine the 1st term of the first 21 term of an arithmetic series if the sum of the three middle term is 126 and the sum of the three last terms is 288
Answer:
- 18
Step-by-step explanation:
arithmetic sequences are in form:
a(n)=a(o)+d(n-1)
sum are in form:
s(n)=[a(0)+a(n)](n/2)
three middle terms is:
10th, 11th, 12th term
How to think: 21 = 10+1+10 --> middle 3 is 10,11,12
sum of these 3 terms:
a(10)+a(11)+a(12)
=a(o)+9d+a(0)+10d+a(0)+11d
=3a(0)+30d=126
a(0)+10d=42 ......(equation 1)
Last three terms is:
19th, 20th, 21th
a(19)+a(20)+a(21)
=a(0)+18d+a(0)+19d+a(0)+20d
=3a(0)+57d=288
a(0)+19d=96 ......(equation 2)
now you have
a(0)+10d=42 ......(equation 1)
a(0)+19d=96 ......(equation 2)
solve and gives
d=6
a(0)= -18
please help i need help
Answer:
(9×3÷4)+y
Step-by-step explanation:
(9×3÷4)+y = y+9 × 3/4
3/4 = 3:4
9× 3/4 = 9×3÷4
there is y+ (9× 3 ÷ 4)
What is the difference in length between the longest meteor and the shortest meteor? (4 points)
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
a
one and five eighths inches
b
two and one eighth inches
c
five and one eighth inches
d
five and five eighths inches
Answer:
the answer is one and five eights
Step-by-step explanation:
1 7/8 - 2/8 = 1 5/8
Answer:
The answer is A
Step-by-step explanation:
1 7/8 - 2/8 = 1 5/8
pls mark me as brainlest
Twenty-five less than the product of three and ten and five tenths.
Answer:
On the left side is "13", that is the whole number part. There are two digits on the right side, the 7 is in the "tenths" position, and the 6 is the "hundredths" position. So, 13.76 is "13 and 7 tenths and 6 hundredths".
Step-by-step explanation:
Answer:
3 x 10 x .5 - 25
Step-by-step explanation:
Is your expression
there are only two lines of symmetry in a circle true or false
Answer:False
Step-by-step explanation: a circle has infinite lines of symmetry an oval has two
Is 17—6x a expression or Equation
Answer:
expression because an equation has to have a plus +×÷ or divsion sign to be an equation
What is 14 2/7 x 4 3/10=
Answer:
430/ 7
Step-by-step explanation:
yess this is the correct answer
There are 85 sixth grade students in Mr. Green’s math class. This makes up 34% of the students in 6th grade in the school. What is the total amount of students in 6th grade?
Answer:
250
Step-by-step explanation:
Take the part (85) and put it over 34% like a fraction.
85 x
34 100
Then do 85 times 100
8500
Then divide it by your percent (34)
8500/34=250
An exponential distribution is formed by the waiting times for a patient in the emergency room. The average waiting time for this distribution is 38 minutes. Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes? Round your answer to three decimal places.
Answer:
0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes
Step-by-step explanation:
To solve this question, we should understand the exponential distribution and conditional probability.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
The average waiting time for this distribution is 38 minutes.
This means that [tex]m = 38, \mu = \frac{1}{38} = 0.0263[/tex]
Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?
Event A: Taking more than 37 minutes.
Event B: More than 37 + 41 = 78 minutes.
Probability of taking more than 37 minutes:
[tex]P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221[/tex]
More than 37 minutes and more than 78 minutes:
The intersection is more than 78 minutes, so:
[tex]P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286[/tex]
The probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207[/tex]
0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes
Consider the factored form equation of parabola y = 2(x - 3) * (x + 1)
Answer:
a= x= 3, -1
b= x=1
c= (1, -8)
Step-by-by-step explanation:
For the show your work, you have to create the graph of the parabola. (attached image)
PLEASE HELP WITH THE FOLLOWING. WILL GIVE BRAINLIEST. THANK YOU
Answer:
50.8°Step-by-step explanation:
First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.
2√15² = 2√6² + b²
60 = 24 + b²
Subtract 24
36 = b²
b = 6
Now, that we have all three sides, we will use the law of cosines to figure out the angle.
c² = a² + b² - 2abCosC°
Substitute the values in.
6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°
36 = 60 + 24 - 2(37.947331922)CosC°
36 = 60 + 24 - 75.894663844CosC°
36 = 84 - 75.894663844CosC°
Subtract 84
-48 = -75.9CosC°
0.63241106719 = CosC°
Arccos (0.63241106719) = 50.77176844°
The largest acute angle is approximately 50.8°
•) Zeeshaan bought 12 kilograms of wheat seeds and 18 kilograms of rice seeds. How many kilograms of seeds did he buy ?
An organization published an article stating that in any one-year period, approximately 10.2% of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.
1. Calculate the following.
a. x =
b. p' =
c. n =
2. Calculate σx.
3. Find the p-value.
Answer:
W21221
Step-by-step explanation:
What is the answer plz
Answer:
A = 180m²
Step-by-step explanation:
To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.
what fraction is 15 minutes of 1 hour
Answer:
1/4
Step-by-step explanation:
Convert 1 hour to minutes
1 hour = 60 minutes
Then you can find the fraction
15/60
simplifies to 1/4
15 minutes is 1/4 of 60 minutes/1 hour
9.85xs;s=4
help me. please
Answer:
39.4
Step-by-step explanation:
9.85 * (4) = 39.4
patterns A and B are generated using these rules pattern a start with 12 and add six pattern be start with 4 and add 2
PLEASE HELP
Mrs Joseph had 4/5 kg of butter. She used 1/8 kg if he butter to bake a cake. What was the greatest number of such caked she could bake?
Answer:
6
Step-by-step explanation:
4/5=80%
1/8=12.5%
80÷12.5=6.4
Allison had 310 rocks in the rock collection after three months, her collection increases by 40% how many rocks does she have now?
Answer:
434
Step-by-step explanation:
310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434
what is the shape and direction of f(x)=(x+7)(x+11)
Given:
The function is
[tex]f(x)=(x+7)(x+11)[/tex]
To find:
The shape and direction of the given function.
Solution:
We have,
[tex]f(x)=(x+7)(x+11)[/tex]
It can be written as
[tex]f(x)=x^2+11x+7x+77[/tex]
[tex]f(x)=x^2+18x+77[/tex]
It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.
The leading coefficient is positive so the parabola opens upward.
Therefore, the given function is a vertical parabola that opens upward.
help me please
bddbdbbdbd
calculate the variance and standard deviation for the following samples set of data. 83.6,92.3,56.5,43.8,77.1,66.7. (Do not round intermediate calculation. Round your final answers and the nearest tenth.)
Answer:
Variance: 322.4479999999996
Standard Deviation: 17.956837137981722
Josiah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries? 1 pound = 1 pound= 16 ounces 16 ounces Before you try that problem, answer the question below. How many ounces of strawberries did Josiah buy?
Answer:
$0.30 per ounce
Step-by-step explanation:
16 ounces per pound
16 x 2 = 32 ounces per 2 pounds
9.60/32 = $0.30 per ounce
What is the slope of the line X=-3?
Answer:
undefined
Step-by-step explanation:
Answer:
The slope is undefined
Step-by-step explanation:
Please!!!!! help!!!!!
Answer:
유퓨요ㅛㅜㅑㅑㅅ재 내 8 ㅓㅕ를펴 16 ㅐㅏ?
Step-by-step explanation:
Because of bad weather, the number of days next week that the captain of a charter fishing boat can leave port is uncertain. The following probability distribution for the number of days that the boat is able to leave port per week was determined based on historical data when the weather was poor: The number of days the boat can leave port per week Probability 0 0.20 1 0.05 2 0.05 3 0.05 4 0.15 5 0.10 6 0.15 7 0.25 Based on the probability distribution, what is the expected number of days per week the captain can leave port. Group of answer choices 3.55 4.00 3.50 4.05 2.85
Answer:
The expected number of days per week the captain can leave port is 4.05.
Step-by-step explanation:
We are given the following distribution:
[tex]P(X = 0) = 0.2[/tex]
[tex]P(X = 1) = 0.05[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = 0.05[/tex]
[tex]P(X = 4) = 0.15[/tex]
[tex]P(X = 5) = 0.1[/tex]
[tex]P(X = 6) = 0.15[/tex]
[tex]P(X = 7) = 0.25[/tex]
What is the expected number of days per week the captain can leave port.
We multiply each outcome by its probability. So
[tex]E = 0*0.2 + 1*0.05 + 2*0.05 + 3*0.05 + 4*0.15 + 5*0.1 + 6*0.15 + 7*0.25 = 4.05[/tex]
The expected number of days per week the captain can leave port is 4.05.