Answer:
265
Step-by-step explanation:
Each number has difference of 6 and can be normally calculated. The upper 5th or zero count with 6*44 will find it.
A survey found that the american family generates an average of 17. 2 pounds of glass garbage each year. Assume the standard deviation of the distriution is 2. 5 pounds. Find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds
The probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.
How to solve for the probabilityσ_sample = σ / sqrt(n)
σ_sample = 2.5 / sqrt(55)
σ_sample ≈ 0.336
Now, we can standardize the values of 17 and 18 pounds using the Z-score formula. This will tell us how many standard deviations away from the population mean these values are:
Z = (X - μ) / σ_sample
Z_17 = (17 - 17.2) / 0.336 ≈ -0.595
Z_18 = (18 - 17.2) / 0.336 ≈ 2.381
Now we will use the standard normal distribution (Z-distribution) to find the probabilities corresponding to these Z-scores. You can use a Z-table, statistical software, or an online calculator to find these probabilities.
P(Z < -0.595) = 0.2760
P(Z < 2.381) = 0.9915
To find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds, we will find the difference between the probabilities corresponding to the two Z-scores:
P(17 < X < 18) = P(Z < 2.381) - P(Z < -0.595)
P(17 < X < 18) = 0.9915 - 0.2760
P(17 < X < 18) ≈ 0.7155
So, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.
Read more on probability here:https://brainly.com/question/24756209
#SPJ4
Help!!!!
Given log73≈0.5646 and log716≈1.4248, evaluate the expressions.
Answer:
a) 0.356
b) 1.1397
Step-by-step explanation:
a) log₇2
log(2) / log(7)
0.356
b) log₇ (¹⁴⁷/₁₆)
log (¹⁴⁷/₁₆)
log (7)
1.1397
can someone help please
When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.
To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.
The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.
When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.
Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.
Therefore, the water will be approximately 7 inches deep in the larger container.
For more such questions on container
https://brainly.com/question/29398973
#SPJ8
Rewrite the problem using substitution and simplify the expression using order of operations and show your work.
3. Evaluate:
Suppose you want to buy something for $60, and you have $15 saved up so far. Then your grandmother calls and says she will chip in for your purchase. She doesn’t tell you the amount of money she will give you yet, so you just consider it x dollars.
The algebraic expression for the scenario is 15 + x = 60
How to evaluate the algebraic expression for the statement?From the question, we have the following parameters that can be used in our computation:
Amount saved up = $15
Cost of item = $60
Amount gifted by your grandma = x
The above parameters means that the mathematical statement is an equation statement
So, we have the following representation
Amount saved up + Amount gifted by your grandma = Cost of item
Substitute the known values in the above equation, so, we have the following representation
15 + x = 60
Hence, the algebraic expression is 15 + x = 60
The question does not require that the equation be solved
However, when it is solved, we have:
15 + x = 60
Subtract 15 from both sides
x = 45
So, the amount is 45
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
All above -the line adjustments that do not have corresponding input lines on Schedule 1 ( Form 1040 are indicated as
A. Write -in adjustment
B. Write -in deductions
C. Miscellaneous adjustments
D. Miscellaneous deductions
The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.
All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment.
When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.
Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).
Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.
To know more about corresponding visit:-
https://brainly.com/question/12454508
#SPJ11
Plz help!!! I’ll give 10 points to the first person to give me a correct answer...I need to get my grade up before the end of the semester
Answer:
A= 30
B= 60
C= 90
Step-by-step explanation:
A is already shown.
B has a right angle making it 90 degrees.
A triangle is 180 degrees 30+90= 120
180-120=60
I got 11.9 am I right???
Film studios make a commission from every ticket sold. The movie tickets at Carbob Theatres cost $8.50. The studios earn a 40% commission. What amount of the movie ticket do they earn?
Answer:
I don't think so
Step-by-step explanation:
The studio earns $3.40 on commision because thats 40% of $8.50
The theater earns $5.10 because that would be the rest of the money
We determined that f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere, is a valid joint probability density function. (a) Find the marginal density function for Y1.
From the given density function, we see that f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere. Therefore,f1(y1) = ∫0
Given that the joint probability density function of y1 and y2 is f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere. The task is to find the marginal density function for Y1.The marginal probability density function for Y1 can be found as follows:The marginal probability density function for Y1 is obtained by integrating the joint probability density function over all possible values of Y2.
Thus we can write f1(y1) as follows:f1(y1) = ∫f(y1, y2)dy2From the given density function, we see that f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere. Therefore,f1(y1) = ∫0.
To know more about function visit:-
https://brainly.com/question/21426493
#SPJ11
please help assaapsapspaspaspapspaspapappspappspapsapsapsapsp
Answer:
I want to say C
Figure jkl is simular to fugure jkl :)
Express the ratio below in its simplest form
12:6
Answer:
12/6 simplified to lowest terms is 2/1.
Step-by-step explanation:
Divide both the numerator and denominator by the HCF
12 ÷ 6
6 ÷ 6
Reduced fraction:
12/6 simplified to lowest terms is 2/1.
Answer: 2:1
Step-by-step explanation:
12:6
Both left and right can be divided by 6, like a fraction, reduce.
= 2:1
Answer please and thank you
Step-by-step explanation:
16a^2-56a+49
used the an app to find it
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
calculate the average lateness using the earliest due date criterion to determine the schedule for these five jobs. job process time due date a 2 7 b 8 16 c 4 4 d 10 17 e 5 15
A 3
B. 124
C. 10
D. 14
Therefore, the average lateness using the earliest due date criterion is 2. The corect option is not one of the given options (A, B, C, or D).
To calculate the average lateness using the earliest due date criterion, we need to first determine the sequence in which the jobs should be processed. The earliest due date (EDD) criterion schedules jobs in the order of increasing due dates, so we will arrange the jobs in this order:
c, a, e, b, d
The table below shows the processing time, due date, and completion time of each job, as well as the lateness (completion time - due date) for each job:
Job Processing Time Due Date Completion Time Lateness
c 4 4 4 0
a 2 7 6 -1
e 5 15 11 -4
b 8 16 19 3
d 10 17 29 12
To calculate the average lateness, we add up the lateness values for all jobs and divide by the total number of jobs:
Average lateness = (0 + (-1) + (-4) + 3 + 12) / 5
= 2
To know more about average lateness,
https://brainly.com/question/31966566
#SPJ11
A cylinder has a height of 10 centimeters. Its volume is 9,074.6 cubic centimeters. What is the radius of the cylinder?
Answer:
MONKE
Step-by-step explanation:
MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE
-BOB THE MF BUILDER WAS HERE
A rectangular piece of paper measures
10 centimeters wide by 17 centimeters long. What
is the length of the paper's diagonal to the nearest
centimeter?
To the nearest centimeter, the length of the paper's diagonal would be C. 20 cm.
How to calculate the paper's diagonalTo calculate the length of the paper's diagonal, we would employ the Pythagoras theorem where the square of the longest side is equal to the square of the smaller sides.
The diagonal in this instance is the hypotenuse. So,
\(d^2 = 10^2 + 17^2\)
= 100 + 289
389
The square root of 389 is 19.7 cm and when we approximate this length to the nearest centimeter, we would have 20 cm.
Learn more about diagonals here:
https://brainly.com/question/23008020
#SPJ4
HELP ME PLEASE ILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Answer:
91.7 inches to 1 decimal place
Step-by-step explanation:
We will use Pythagoras's theorem to find the height of the pyramid.
The height of the Pyramid forms a right-angled triangle with half of the base and the slant height.
We can get half the length of the base by dividing the length of one side of the base = 20.4 by 2 = 10.2in
slant height = 92.3in
Therefore height = \(\sqrt{92.3^{2} -10.2^2} =91.73in\)
The height of the pyramid is 91.73inches to 1 decimal place
A triangle has a sides (x) feet, (x+3) feet, and (x+5) feet. The perimeter is 99.5 feet What is the measure for the largest side?
Answer:
35.5 feet
Step-by-step explanation:
x + x + 3 + x + 5 = 99.5
3x + 8 = 99.5
3x = 91.5
x = 30.5
Largest side = (x+5)
30.5 + 5 = 35.5 feet
Question 4 Given: csc 55° =, find tan 145° A. 514 B. - D. C. 2/ 314413 E. - / 6 pts
tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct. cotangent is the reciprocal of the sine function.
To find the value of tan 145°, we can use the relationship between tangent and cotangent:
tan x = 1 / cot x
Since cotangent is the reciprocal of the sine function, we can rewrite the given equation as:
csc 55° = 1 / sin 55°
To find the value of sin 55°, we can use the fact that sin x = cos (90° - x):
sin 55° = cos (90° - 55°)
= cos 35°
Now, we need to find the value of cos 35°. We can use a trigonometric identity:
cos (90° - θ) = sin θ
cos 35° = sin (90° - 35°)
= sin 55°
Substituting this value back into the equation, we have:
csc 55° = 1 / sin 55°
= 1 / cos 35°
Now, let's find the value of tan 145° using the relationship between tangent and cotangent:
tan 145° = 1 / cot 145°
Since cotangent is the reciprocal of the sine function, we can rewrite the equation as:
tan 145° = 1 / sin 145°
To find the value of sin 145°, we can use the fact that sin x = sin (180° - x):
sin 145° = sin (180° - 145°)
= sin 35°
Now, we have:
tan 145° = 1 / sin 145°
= 1 / sin 35°
Since we previously found that csc 55° = 1 / cos 35°, we can substitute this value into the equation:
tan 145° = 1 / sin 35°
= csc 55°
Therefore, tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct.
Learn more about reciprocal here
https://brainly.com/question/29863935
#SPJ11
how many pattern block triangles would create 3 hexagons
If you draw all the diagonals of a normal hexagon, there are 3*6=18 possible triangles; however, three of those are identical (the equilateral triangles), leaving us with 18-3=15 triangle possibilities.
In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. A hexagon has six angles and six vertices. Hexa and gonio both denote the number six. A hexagon can be found in the shapes of a honeycomb, a football, a pencil face, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular hexagon has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.
To know more about hexagon here:
brainly.com/question/15424654
#SPJ4
an electric iron is rs 300 including 10% VAT find the price before the VAT was added
Answer:
270 is the price before vat has added .
Step-by-step explanation:
300-10%of300
300-10/100*300
300-30
270#
What will be the value stored in the variable x after the execution of the following code snippet?
int a = 10;
int b = 20;
int c = 2;
int x = b / a /*c*/;
a) 1
b) 2
c) 4
d) The code has a syntax error
The value stored in the variable x after the execution of the following code snippet will be b) 2.
The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.
Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.
To learn more about code snippet: https://brainly.com/question/29845639
#SPJ4
what is the median of these numbers 17 12 54 36 71 28 31 55
Answer:
The median is 33.5
Step-by-step explanation:
In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.
The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.
What is the median of a set of numbers?The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.
If there are an even number of numbers, the median is the average of the two middle values. If there is an odd number of numbers, the median is the middle number.
To find the median of the given numbers, we first need to arrange them in ascending order:
12 17 28 31 36 54 55 71
Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.
To find the average, we add the two numbers and divide by 2:
(31 + 36) / 2 = 67 / 2 = 33.5
Therefore, the median of the given numbers is 33.5.
Learn more about median of numbers in https://brainly.com/question/26177250
#SPJ11
A biker rode 3.75 miles in 0.3 hrs
A) how fast is she going?
B) how long will it take her to go 4.5ml?
bike ride is 3.75 miles, or 4.5ml is
3.75/.3 (or 4.5/x.36) (or x 1).
Timing is 0.3 hours.
Speed = Distance / Time Speed = 3.75 x 0.3 = 12.5 mph.
2) Speed is 12.5 mph, and the distance is 4.5 miles.
Time = Distance * Speed.
Time = 4.5 * 12. 5 = 0.36 hours.
It takes 0.36 hours to travel 4.5 miles.
How is the speed per hour determined?
Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed. The units in this example will be meters per second (m/s), since the distance is measured in meters (m) and the time is measured in seconds (s).
to learn more about speed refer to:
https://brainly.com/question/11309911
#SPJ13
how to determine if a function is even or odd algebraically
If f(-x) = -f(x), the function is odd. and if f(-x) = f(x), the function is even.
What are functions?A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.
We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x).
If f(-x) = f(x), the function is even.
If f(-x) = -f(x), the function is odd.
In order to "determine algebraically" whether a function is even, odd, or neither, you take the function and plug − x in for x, simplify, and compare the results with what you'd started with.
If you end up with the exact same function that you started with (that is, if f (− x) = f (x), so all the signs are the same), then the function is even; if you end up with the exact opposite of what you started with (that is, if f (− x) = − f (x), so all the signs are switched), then the function is odd.
If the result is neither exactly the same nor exactly opposite (that is, nor having all the same terms but with all the signs reversed), then the function is neither even nor odd.
Learn more about functions, click;
https://brainly.com/question/12431044
#SPJ1
Which statements could he include in his explanation? select two options. the domain of both functions is all real numbers. the domain of f(x) is x > 5. the domain of g(x) is x > 5. the range of f(x) is y > 0. the range of g(x) is y > 0.
The correct option is 'The domain of both functions is all real numbers'.
According to statement
Here, functions are f(x) = 5x and g(x) =5x
Since the domain of f(x) is, D= { x : x belongs to all real numbers.}
Therefore, Domain of f(x) is all real numbers.
Since f(x) and g(x) have the same value,
Therefore, Domain of g(x) is also the set of real numbers.
Now, range of f(x) is , R= { 5x : x belongs to all real numbers.}
Therefore, Range of f(x) is all real numbers.
Range of g(x) is also all real numbers.
So, we can say by the above explanation, only option (1) is correct.
DISCLAIMER: The question was incomplete. Please find the full content below.
QUESTION
Keshawn is asked to compare and contrast the domain and range for the two functions.
f(x) = 5x
g(x) = 5x
Which statements could he include in his explanation? Check all that apply.
1. The domain of both functions is all real numbers.
2. The domain of f(x) is x > 5.
3. The domain of g(x) is x > 5.
4. The range of both functions is y > 5.
5. The range of f(x) is y > 0.
6. The range of g(x) is y > 0.
Learn more about DOMAIN OF FUNCTION here https://brainly.com/question/1770447
#SPJ4
Question 4
4 pts
You roll 2 fair 6-sided dice. What is the probability of rolling a sum of 7 or more?
18/36 or 1/2
20/36 or 5/9
19/39
21/36 or 7/12
Answer:
here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.
Now, it is time to calculate the probability.
The required probability is,
p = (No. of cases favorable for the event)/(Total no. of cases)
=6/36 =
Step-by-step explanation:
Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is seven?
parallelogram calc: find p, b=n/a, a=n/a
Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
To find the perimeter (p) of a parallelogram, you need to know the length of all four sides. However, in this case, you are given the ratio of the base (b) to one of the sides (a), which is n/a.
Since a parallelogram has two pairs of parallel sides, the opposite sides are equal in length. Therefore, if the base is b, then the opposite side is also b. Using the given ratio, you can find the length of the other side (n) by multiplying a by n/a, which is n.
So, the length of the other side is also n, and the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
However, if given the ratio of the base to one of the sides, you can use this to find the length of the other side. For this problem, if the base is b, then the opposite side is also b, and the length of the other side is n (where n/a = b/a).
Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
To know more about multiplication visit:
https://brainly.com/question/1135170
#SPJ11
what is the probability that an integer in the set { 1 , 2 , 3 , … , 100 } is divisible by 2 and not divisible by 3 ? (a) 1 6 (b) 33 100 (c) 17 50 (d) 1 2 (e) 18 25
The probability that an integer in the set is divisible by 2 and not divisible by 3 is (d) 1/2.
The set { 1 , 2 , 3 , … , 100 } contains integers from 1 to 100, inclusive. To find the probability that an integer is divisible by 2 and not divisible by 3, we need to determine the number of integers that meet this condition and divide it by the total number of integers in the set.
The integers divisible by 2 are {2, 4, 6, ..., 100}. The total number of integers divisible by 2 is 50, as every other number is divisible by 2.
The integers divisible by 3 are {3, 6, 9, ..., 99}. The total number of integers divisible by 3 is 33.
To find the integers that are divisible by 2 and not divisible by 3, we can find the set difference between the two sets: {2, 4, 6, ..., 100} - {3, 6, 9, ..., 99}. This set is {2, 4, 8, ..., 98, 100}.
The total number of integers in this set is 50, the same as the number of integers divisible by 2.
Therefore, the probability that an integer in the set is divisible by 2 and not divisible by 3 is 50/100 = 1/2, which can be expressed as the fraction (d) 1/2.
Know more about probability here,
https://brainly.com/question/31828911
#SPJ11
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
Read more about area here:https://brainly.com/question/27440983
#SPJ1
Arielle has a collection of grasshoppers and crickets. She has 561 insects in all. The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has.
crickets and
grasshoppers
Answer:
Arielle has 374 grasshoppers and 187 crickets
Step-by-step explanation:
Let's set:
x = number of grasshoppers
y = number of crickets
Arielle has a collection of 561 insects, thus:
x + y = 561 [1]
The number of grasshoppers is twice the number of crickets, thus:
x = 2y [2]
Substituting [2] in [1]:
2y + y = 561
Simplifying:
3y = 561
Dividing by 3:
y = 561/3
y = 187
From [2]:
x = 2*187 = 374
x = 374
Arielle has 374 grasshoppers and 187 crickets