Answer:
0.0100925147183
Step-by-step explanation:
Answer:
48/4,756= 0.010
Step-by-step explanation:
During a particular week, the art museum had 1,600 visitors, and that was 40% of the total number of visitors for the month. How many total visitors did the art museum have that month?
Answer:
4000
Step-by-step explanation:
this can be found by using the equation
1600/x = 40/100
cross multiply
40x = 160000
simplify
x= 4000
To find the total number of visitors the art museum had in the month, divide 1,600 by 0.4.
Explanation:To find the total number of visitors the art museum had in the month, we can use the given information. We know that 1,600 visitors represents 40% of the total number of visitors for the month. To find the total number of visitors, we can set up the following equation:
1,600 = 0.4 * total number of visitors
To solve for the total number of visitors, we divide both sides of the equation by 0.4:
total number of visitors = 1,600 / 0.4 = 4,000
Therefore, the art museum had a total of 4,000 visitors that month.
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Solve the following inequality for n. Write your answer in simplest form.
4 + 3(10n+6) ≤ - 3 - 10
Answer:
the answer to this is -7/6
what is the value of f(x)=6
Answer:
f(x)=6
Step-by-step explanation:
By Substitution
f(x or coefficient of x)
=6 since X doesn't exist in question above
Final answer:
The value of f(x) is 6, indicating a constant function where the output is the same irrespective of the input. For constant functions, the total differential is zero as there is no change in the function value with varying x.
Explanation:
The question is asking for the value of f(x) when f(x) is equal to 6. This is a type of question that involves understanding how functions work. In this particular case, the question seems to be abstract, suggesting that f(x) = 6 for all x, indicating a constant function. A constant function is one where the output value is the same no matter what the input value is.
Considering this, without additional context or a specific function definition besides f(x) = 6, we presume that the student is being asked to recognize this as a constant function. Therefore, the value of f(x) is always 6, regardless of the value of x.
However, if we are considering a function that changes with respect to x, the total differential would be involved to find infinitesimal changes in f(x) as x changes. For a constant function like this one, the differential would be zero since the function's value does not change as x changes.
estimate 196 divided0.499
Answer:
392
Step-by-step explanation:
round 0.499 up to 0.5, then divide 196 by 0.5 and your answer is 392.
What is the answer to
–3x2+7=-2x
Step-by-step explanation:
-6 + 7 = 2x
1 =2x
If you have to find the value of x then
1/2 = x
1. What is the circumference of the circle
below?
11 cm
A few years ago, a total of 26812681 thousand people lived in the metropolitan areas of Las Vegas, Nevada, and Sacramento, California. Sacramento had 277277 thousand more residents than Las Vegas. What was the population of each metropolitan area?
Answer:
The population of Lasvegas = 1202000.
Population of Sacramento = 1479000
Step-by-step explanation:
Let the population of each be
Las Vegas Nevada = L
and
Sacramento, California = S
Initially L + S = 2681 000 people
Sacramento had 277 thousand more residents than Las Vegas
This mean that:
L = Population of Las Vegas
L+ 277,000 = population of Sacramento
2,681,000=L+(L+277,000)
2,681,000=2L + 277,000
2,681,000-277,000=2L
2,404,000=2L
2,404,000/2=L
1,202,000=L
The population of Lasvegas = 1202000.
1,202,000+277,000=1,479,000
Population of Sacramento = 1479000
Check base on the question.
2,681,000=1,202,000+1,479,000
2,681,000=2,681,000
Final answer:
To solve the problem, we used algebra to define variables for the population of Las Vegas and Sacramento, set up an equation based on the given information, and solved for the populations of both metropolitan areas.
Explanation:
The question involves solving a basic algebra problem to find the population of Las Vegas and Sacramento metropolitan areas when given the total combined population and the difference in populations between the two areas.
Let x represent the population of Las Vegas. Then, Sacramento's population would be x + 277277 thousand.
Solving the equation x + (x + 277277) = 26812681 will give us the populations of both areas.
Combine like terms to get 2x + 277277 = 26812681.
Subtract 277277 from both sides to get 2x = 26535404.
Divide both sides by 2 to find the population of Las Vegas, x = 13267702 thousand.
To find Sacramento's population, add 277277 to Las Vegas' population to get 13544979 thousand.
Therefore, the population of the Las Vegas metropolitan area was 13267702 thousand, and Sacramento's metropolitan area had a population of 13544979 thousand.
In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 86 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life ( 150,000 miles of driving) of the vehicle. NOX + NMOG emissions over the useful life for one car model vary Normally with mean 80 mg/mi and standard deviation 4 mg/mi. (a) What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.)
Answer:
probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG = 0.8668
Step-by-step explanation:
mean, μ = 80 mg/mi
Standard deviation, [tex]\sigma = 4 mg/mi[/tex]
probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG
[tex]P(X > x ) = P(z > \frac{x - \mu}{\sigma})[/tex]
[tex]P(X > x ) =1 - P(z < \frac{x - \mu}{\sigma})[/tex]
[tex]P(X > 86 ) =1 - P(z < \frac{86 - 80}{4})[/tex]
P(X > 86) = 1 - P(z < 1.5)
From the standard normal table, P(z < 1.5) = 0.9332
P(X > 86) = 1 - 0.9332
P(X > 86) = 0.0668
Jenny has a gift box shaped like a triangular prism. Each side of the base is 12 cm. The triangular base has a height of 10.4 cm. The prism is 68 cm tall. Find the amount of the gift wrap needed to cover the box
The total surface area will be 1360.2 square centimeters.
To find the amount of gift wrap needed to cover Jenny's gift box shaped like a triangular prism, we first need to calculate the surface area of the prism.
The box has two triangular bases and three rectangular sides.
Therefore,
Calculate the total surface area of the triangular prism: 2(base area) + (base perimeter * prism height)
Substitute the values:
= 2(1/2 * base side * base height) + (base side * 3base side + prism height)
Solve to find the total surface area:
= 2(1/2 * 12 cm * 10.4 cm) + (12 cm * 3 * 12 cm + 68 cm)
= 1360.2
After calculations, the total surface area will be 1360.2 square centimeters.
The amount of gift wrap needed to cover the box is 4,958.4 cm² or approximately 4.96 square meters.
To find the amount of gift wrap needed to cover a triangular prism, we need to calculate the total surface area of the prism.
Given information:
- Each side of the base is 12 cm.
- The triangular base has a height of 10.4 cm.
- The prism is 68 cm tall.
Calculate the area of the triangular base.
Area of a triangle = (1/2) × base × height
Area of the triangular base = (1/2) × 12 cm × 10.4 cm
Area of the triangular base = 62.4 cm²
Calculate the perimeter of the triangular base.
Perimeter of a triangle = sum of all sides
Perimeter of the triangular base = 12 cm + 12 cm + 12 cm = 36 cm
Calculate the area of the rectangular faces.
Area of a rectangle = length × width
Area of each rectangular face = 36 cm × 68 cm = 2,448 cm²
Total area of the rectangular faces = 2 × 2,448 cm² = 4,896 cm²
Calculate the total surface area of the triangular prism.
Total surface area = Area of the triangular base + Area of the rectangular faces
Total surface area = 62.4 cm² + 4,896 cm²
Total surface area = 4,958.4 cm²
Therefore, the amount of gift wrap needed to cover the box is 4,958.4 cm² or approximately 4.96 square meters.
Samir bought 3 pounds of cement to repair the cracks in his sidewalk. Each crack needs to be filled with 2 ounces of cement. Part A How can he convert 3 pounds to ounces? Use the drop-down menus to explain. 3 by . Part B How many cracks can he repair? Enter your answer in the box. cracks
Answer:
24 cracks will be filled
Step-by-step explanation:
Here, the first question asks how to convert 3 pounds to ounces.
we can do this using a mathematical approach. To convert pounds to ounces, we need to know that there are 16 ounces in a pound. so to convert pounds to ounces, we just need to multiply the number of pounds we have by 16 to get the equivalent number of ounces.
The second question asks to give the number of cracks that be repaired.
From the question, we were made to know that each of the cracks would eat up 2 pounds of cement to be filled.
Let’s calculate the amount of cement we have. That would be 3 * 16 = 48 ounces of cement.
The amount of cracks to be filled is thus 48 ounces/2 ounces = 24 cracks
A research firm conducted a survey of 49 randomly selected Americans to determine the mean amount spent on coffee during a week. The sample mean was $20 per week. The population distribution is normal with a standard deviation of $5. What is the point estimate of the population mean? Using the 95% level of confidence, determine the confidence interval for μ.
The point estimate of the population mean is $20 per week. The 95% confidence interval, using a z-score of 1.96, ranges from $18.20 to $21.80.
Explanation:The subject of this question deals with the statistical concept of confidence intervals. The point estimate of the population mean is simply the sample mean, which is $20 per week. To calculate the confidence interval for the population mean (μ), we first need to understand that for a 95% level of confidence, the z-score (standard score) is 1.96. This is derived from statistical tables or a z-distribution.
The confidence interval is then calculated with the formula:
(sample mean - (z-score * (standard deviation/√sample size)), sample mean + (z-score * (standard deviation/√sample size))
Substituting the known values in, the 95% confidence interval for μ is ($18.20, $21.80).
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The point estimate of the population mean is the sample mean of $20 per week. Using the given standard deviation and applying the formula for a 95% confidence interval, we determine the confidence interval for the population mean to be ($18.6, $21.4).
The point estimate of the population mean ( μ) is the sample mean which is $20 per week. To calculate the confidence interval, we can use the formula for a 95% confidence interval when the population standard deviation ( σ) is known:
CI = Y ± Z*( σ/ √n)
Given that σ = $5, n = 49, Z for a 95% confidence level is approximately 1.96. Plugging these values into the formula, we get the confidence interval:
CI = 20 ± 1.96*(5/√49)
CI = 20 ± 1.96*(5/7)
CI = 20 ± 1.96*(0.714)
CI = 20 ± 1.4
CI = (18.6, 21.4)
Therefore, the 95% confidence interval for the population mean ( μ) is ($18.6, $21.4).
Find the 39th term of the arithmetic sequence
–66, - 68, – 70, ..
Answer:
Preview
Enter a mathematical expression (more..)
a boln. Video
Answer:
-142
Step-by-step explanation:
You seem to have an arithmetic sequence with first term -66 and common difference (-68-(-66)) = -2. The general term of such a sequence is given by ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
We want to evaluate this equation for a1 = -66, d = -2, n = 39:
a39 = -66 -2(39 -1) = -66 -76 = -142
The 39th term is -142.
The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot. She simulated 50 5050 trials of three-point shots where each shot had a 0.2 0.20, point, 2 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot.
Complete Question: Check the file attached to this document to see the complete question
Answer:
P(X < 7) = 0.76
Step-by-step explanation:
Counting properly from the diagram attached to the question,
number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38
The total number of trials she made = 50
Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)
P(X < 7) = 38/50
P(X < 7) = 0.76
Answer:
0.76
Step-by-step explanation:
Find the volume of a cylinder that has a radius of 7 and a height of 16. Leave your answer in terms of
π.a0
Step-by-step explanation:
volume =π r*2 h
sub r=7, h =16,
volume = 49(16)π
=784π
square root of 48 plus square root of 3
Answer:
2313
Step-by-step explanation:
Use the formula for continuously compounded interest, A = Pert, to find the annual interest rate for an $8000 investment that earns $410.17 in one year.
a. 7%
b. 6%
c. 5%
d. 4%
Answer:
c 5%
Step-by-step explanation:
8000 + 410.7 = 8000 e^(r)
e^r = 1.05127125
r lne = ln1.05127125
r = 0.05006316309 × 100
5%
Answer:
C 5%
Step-by-step explanation:
I hope this is what you need
The two cones are congruent
A
Determine the unknown measures of the cones,
units
units
units
5.2
B
units 3
6.2
V242 units
VD units
Answer: if you’re talking about the one on edge it’s:
3.1
4.2
5.2
42
Step-by-step explanation:
The cones are congruent so just copy the other cone and find the radius (dividing the diameter by 2)
Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minute.
Machine B makes 16 parts every 17 minuets.
On Monday
Machine A makes parts for 12 hours.
Machine B makes parts for 10 hours.
Work out the total number of parts made by two machines on Monday. Show your working
Answer:
Machine A=504 parts in 12h
Machine B=564 parts in 10 h
Step-by-step explanation:
please find the attached picture for steps
Answer:
Part A is 504
Part B is 564.7
Step-by-step explanation:
Rates given
A=7 parts every 10 minutes
We know its 1 hour for every 60 minutes
12 hr x 60 min\1 hr is 720 minutes
720 min times 7 part divide by 10 minutes is 504 parts
B= 16 parts every 17 minutes
10 hr times 60 min divide by 1 hour is 600 minutes
600 min times 16 parts divide by 17 minutes is 564.7 parts
A man drove his car 396 miles on Monday and 476 miles on Tuesday. How many miles did he drive altogether?
Please help me!!
2(5– x)3 – 11=151
Answer:
x = -22
Step-by-step explanation:
2(5– x)3 – 11 = 151
(10 - 2x)3 - 11 = 151
30 - 6x = 162
-6x = 132
x = -22
A circle has a circumference of 28.26 units. What is the diameter of the circle?
Answer:
Diameter of circle is 9 units.
Answer:
2 x radius
Step-by-step explanation:
Please help me!!!!! How do you get 67.3 and 112.7 from .9228
I attached the problem with the answer but not all the work.
In will make the first answer the brainlyest
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines: [tex]\frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}[/tex].
Here, when we use the Law of Sines, we have: [tex]\frac{28}{sin(63)}=\frac{29}{sinB}[/tex].
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin ([tex]sin^{-1}[/tex]):
[tex]sin^{-1}(sinB)=sin^{-1}(0.9228)[/tex]
The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
Answer:
67.3° , 112.7°
Step-by-step explanation:
sinx = 0.9228
Take inverse of sin, you get:
x = 67.3389176683
Since sin is positive in first two quadrants, second angle is:
180 - 67.3389176683
= 112.6610823317
round your answer to the nearest hundredth
Answer:
8.54
Step-by-step explanation:
3*3=9
8*8=64
9+64=73
Square root of 73= 8.54
What is the total number of outcomes when choosing water, milk, juice,
or tea; with or without ice: served in a glass or plastic cup? *
The total possible outcomes of a serving would be 16.
Step-by-step explanation:
Given that,
The total number of beverages = b = 4 ( water, milk, juice,
or tea)
Ice options = i = 2 (with or without ice)
Serving options = s = 2 (glass or plastic cup)
We have to find the total possible outcome x, that can be calculated using
x = b x i x s
Putting the values in the equation, we get
x = 4 x 2 x 2
x = 16
Hence, the total possible outcomes of a serving would be 16.
What is AB? There’s an image of the triangle above
Please help me with the Square Root problems, Part 3. Please Show and Check the work.
[tex]9. \sqrt{x+12} +\sqrt{x} = 6\\\\10. 2\sqrt{x} = 1 - \sqrt{4x-1} \\\\11. 2x = \sqrt{4x-1} \\\\12. \sqrt{4x-1} = 2 - 2x[/tex]
Answers and Step-by-step explanations:
9. Subtract root x from both sides: [tex]\sqrt{x+12} =6-\sqrt{x}[/tex]
Square both sides: x + 12 = 36 - 12[tex]\sqrt{x}[/tex] + x
Subtract x and 36 from both sides: -24 = -12[tex]\sqrt{x}[/tex]
Divide both sides by -12: 2 = [tex]\sqrt{x}[/tex]
Square both sides again: x = 4
10. Switch the places of the two root expressions: [tex]\sqrt{4x-1} =1-2\sqrt{x}[/tex]
Square both sides: 4x - 1 = 1 - 4[tex]\sqrt{x}[/tex] + 4x
Subtract 4x and 1 from both sides: -2 = -4[tex]\sqrt{x}[/tex]
Divide by -4 from both sides: 1/2 = [tex]\sqrt{x}[/tex]
Square both sides again: x = 1/4
11. Square both sides: 4x^2 = 4x - 1
Move all the terms to one side: 4x^2 - 4x + 1 = 0
Factorize: (2x - 1)(2x - 1) = 0 ⇒ x = 1/2
12. Square both sides: 4x - 1 = 4 - 8x + 4x^2
Move all the terms to one side: 4x^2 - 12x + 5 = 0
(2x - 5)(2x - 1) = 0 ⇒ x = 5/2 or x = 1/2
Hope this helps!
Answer:
9. x = 4
10. x = ¼
11. x = ½
12. x = ½
Step-by-step explanation:
9. sqrt(x + 12) = 6 - sqrt(x)
Square both sides
x + 12 = 36 - 12sqrt(x) + x
12sqrt(x) = 24
sqrt(x) = 2
x = 4
10. 2sqrt(x) = 1 - sqrt(4x - 1)
Square both sides
4x = 1 - 2sqrt(4x - 1) + 4x - 1
-2sqrt(4x - 1) = 0
sqrt(4x - 1) = 0
4x - 1 = 0
x = ¼
11. 2x = sqrt(4x - 1)
4x² = 4x - 1
4x² - 4x + 1 = 0
4x² - 2x - 2x + 1 = 0
2x(2x - 1) - (2x - 1) = 0
(2x - 1)(2x - 1) = 0
x = ½
12. sqrt(4x - 1) = 2 - 2x
4x - 1 = (2 - 2x)²
4x - 1 = 4 - 8x + 4x²
4x² - 12x + 5 = 0
4x² - 2x - 10x + 5 = 0
2x(2x - 1) - 5(2x + 1) = 0
(2x - 1)(2x - 5) = 0
x = ½ , 5/2
x = 2.5 is rejected because it doesn't satisfy the equation
* when solving equations involving radicals, make sure to verify your answers by plugging in the values in the initial equation
A cube has an edge lenght of 9 centimeters.
If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?
A 72cm
B 72cm^2
C 108cm
D 108cm^2
Answer: A
Step-by-step explanation:
Took quiz
Answer:
The correct answer is A on edg
Step-by-step explanation:
Laura retired from her job recently, and she has saved about $414,731.00 over the course of her career. She plans to withdraw $2,224.00 each month to pay for living expenses. After a certain amount of time, the balance in Laura's account is $381,371.00. How many months have passed since Laura retired
Approximately 140 months have passed since Laura retired.
Explanation:To find the number of months that have passed since Laura retired, we need to calculate the total number of months Laura's retirement savings can cover her living expenses, and then subtract that from the balance in her account.
First, we calculate the number of months Laura's retirement savings can cover her living expenses by dividing her total savings by the monthly withdrawal amount: $414,731.00 ÷ $2,224.00 = 186.41 months.
Then, we subtract the number of months from the balance in Laura's account to find the number of months that have passed since Laura retired: 186.41 - X = $381,371.00, where X is the number of months. So, X = 186.41 - $381,371.00 = 140.41.
Therefore, approximately 140 months have passed since Laura retired.
A triangle has a perimeter of 20 cm. It is dilated by a scale factor of 4/5. What is the perimeter of the dilation?
Answer:
i believe it to be 16. Im not sure though
Step-by-step explanation:
A student rolled 8 number cubes and counted the total amount of even numbers to simulate the number of questions she might guess correctly on a true/false test with 8 questions. The dot plot below shows the results of one hundred trials. Based on this data, which number of correct answers is most likely?
Answer:
The number of correct answers most likely is 3
Step-by-step explanation:
A Dot Plot is a histogram form of chart used to represent small amount of data in which the values are small discrete countable variables. It is a graphical display of data using dots and graph like scales to show count (relationships) within a group or a category.
Here from the box plot, we have that the number with the highest frequency is 3. Therefore, the number of correct answers most likely is 3.