It will take about 711.12 minutes or approximately 11.85 hours to test all 400 units.
To find out how long it will take to test 400 units, we need to use the information given in the problem. We know that the quality expert can test 18 units in 32 minutes. We can use this information to find out how long it will take to test one unit.
First, we need to find out how many units can be tested in one minute:
18 units / 32 minutes = 0.5625 units per minute
This means that the quality expert can test 0.5625 units per minute. To find out how long it will take to test one unit, we can divide 1 by 0.5625:
1 / 0.5625 = 1.7778 minutes per unit
So it takes about 1.7778 minutes to test one unit. To find out how long it will take to test 400 units, we can multiply this value by 400:
1.7778 minutes per unit * 400 units = 711.12 minutes
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A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 12% are pennies and 34% are dimes. There are 3 more nickels than pennies. How much money does the bag contain?
Answer:
i think the bag contains $3.56
Step-by-step explanation:
what is the answer? compute the following integral.
The integral for this problem has the result given as follows:
[tex]\int_2^5 -8f(x) dx = 168[/tex]
How to solve the integral?The integral over the largest region for this problem is given as follows:
[tex]\int_2^9 f(x) dx = -14[/tex]
The integral can be divided into two smaller regions, as follows:
[tex]\int_2^9 f(x) dx = \int_2^5 f(x) dx + \int_5^9 f(x) dx[/tex]
Hence the integral from x = 5 to x = 9 is given as follows:
[tex]-14 = \int_2^5 f(x) dx + 7[/tex]
[tex]\int_2^5 f(x) dx = -21[/tex]
Multiplying -21 by -8, the result of the integral is given as follows:
[tex]\int_2^5 -8f(x) dx = 168[/tex]
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What is -2 - 1 3\7 please help
Answer:
Step-by-step explanation:
To solve this expression, we need to first combine the integer part of -2 and -1, which gives us -3. Then, we need to combine the fractional parts of -1 and 3/7.
To do this, we find a common denominator, which is 7, and convert -1 to an equivalent fraction with denominator 7 by multiplying both the numerator and denominator by 7, which gives us -7/7.
Now we can add -7/7 and 3/7 to get -4/7.
Therefore, -2 - 1 3/7 = -3 - 4/7, which can also be written as -3 4/7 or -23/7 in improper fraction form
The probability that Rosie goes to the beach after school is 6 11 If she does go to the beach, then the probability that she does her homework is ) If she does not go to the beach, then the probability that she does her homework is 3 4 Work out the probability that Rosie does her homework. Give your answer as a fraction in its simplest form.
The probability that Rosie does her homework is: 27/44
How to find the conditional probability?Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.
Thus, we can solve this probability as:
(6/11 * 1/2) + ((1 - (6/11) * 3/4)
= (3/11) + (5/11 * 3/4)
= (3/11) + 15/44
= 27/44
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Which expression is equivalent to (4.3x + 4)(−1.8x)?
A. −4.14x2 + 0.08x
B. −7.74x2 − 7.2
C. −7.74x2 − 7.2x
D. −7.74x2 + 7.2x
The expression that is equivalent to (4.3x + 4)(−1.8x) is -7.74x² -7.2x (optionC)
What is equivalent of expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value.
For example, 2a+6 is equivalent to 2(a+3) and will surely have thesame value when a value is substituted for a.
Similar (4.3x + 4)(−1.8x) can be simplified by multiplying -1.8x with both 4.3x and 4
= -7.74x²-7.2x
therefore the equivalent of (4.3x + 4)(−1.8x) is -7.74x²-7.2x.
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Solve for x, in terms of y: 23 x + 15 y = 2
MAKE BRAINLYST AND 100
To solve for x in terms of y in the equation 23x + 15y = 2, we can start by isolating the term with x on one side of the equation. We can do this by subtracting 15y from both sides of the equation to get 23x + 15y - 15y = 2 - 15y, which simplifies to 23x = 2 - 15y.
Next, we can solve for x by dividing both sides of the equation by 23 to get 23x/23 = (2 - 15y)/23, which simplifies to x = (2 - 15y)/23.
Therefore, the solution for x in terms of y is x = (2 - 15y)/23.
A boy has 30 spellings to learn.
12 words included an 5, 16 a T and 18 an E.
10 words had an E and a T, 6 words had an Sand aT and 5 words had an E and an S.
4 words had all three.
Probability that?
A • the first two spellings in the test both included only one of the three letters?
C• the first two spellings in the test both had an E and at least one other letter
Answer:
A
Step-by-step explanation:
pls answer asap
A traveler has 9 pieces of luggage.
How many ways can the traveler select 3 pieces of luggage for a trip?
Responses
84
84
504
504
60,480
60,480
362,880
Answer:
84
Step-by-step explanation:
Trust me
Answer:
84
Step-by-step explanation:
There are 9 pieces of luggage.
We can select the first piece 9 different ways, the second piece 8 different ways, since there are only 8 pieces left. The third piece can be selected 7 different ways.
9*8*7
504
But order doesn't matter since we are taking 3 pieces.
Divide by (3*2*1)
504/6 = 84
There are 84 different combinations of luggage
Virginia earns $69,500 per year at her job as a speech pathologist, and she is paid every two weeks. Her most recent paycheck included the following deductions: FICA $200.20 Federal income tax $180.65 State income tax $72.00 Health insurance $110.00 Retirement savings $250.00 Considering her deductions, what percentage of her gross pay did Virginia take home? 71.65% 62.34% 69.59% 68.55%
She takes 69.5% as gross pay at take home,
Hence option (c) is correct.
Given that,
The amount of earning = $69500
From the given table total deduction = 812.85
Since she pay deductions in every two weeks
Therefore,
The gross earning per year = 69500 - 812.85
= $ 48388
There are 365 days in a year
So earing per day = 69500/365 = 4190.411
So gross earing per day = 48388 /365 = 132.569
SO the gross percentage = (132.5/190.5)x100
= 69.5 %
Hence the required percentage is 69.5%
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A radioactive isotope has a half-life of 1,920 years. Let f(t)
be the amount of isotope, in milligrams, that is present after t years. If the sample originally contained 21 milligrams, write an equation modeling this situation.
F(t)=
The equation that models the given situation is: f(t) = 21e^(-0.000361)t
How to solve an exponential decay function?We can model this situation with an exponential decay function.
f(t) = Pe^(rt)
Where:
f(t) = amount of isotope
P = starting amount
r = growth rate
t = time
Let's assume that there is 1 mg of our isotope. Thus,in 1920 years, we will have 1/2 mg. Thus:
(1/2) = (1)e^(1920r)
Take the natural log of both sides to bring the exponent down and to cancel out the e
ln(1/2) = ln(e^(r(1920))
ln(1/2) = r(1920)
ln(1/2)/1920 = r
r = -0000361
Thus, we have:
f(t) = Pe^(-0.000361)t
Plug in 21 for P to get:
f(t) = 21e^(-0.000361)t
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Question 12: The base and height of the rhombus are given. Apply a formula to find the area of the rhombus
2. If 15% of the first digit equals 21% of the second digit, then what percentage of the second digit equals 25% of the first digit?
Answer:
35%
(I replaced the 1st digit by a and the second digit by b)
Write the parametric equations.
x=5t−1,y=1−3t
as a function of x in Cartesian form.
y=
Riley runs a stable that boards a range of horses.
white 3
bay 2
palomino 9
black 1
Considering this data, how many of the next 20 horses that come to board should you expect to be white horses?
_____ white horses
Since there are 3 white horses in a total of 15 horses, the ratio of white horses, to the total number of horses are 1 : 5 So for 20 total number of horses, the number of white horses should be 4. The ratio of white horses to the total number of horses is 4 : 20 which is 1: 5
Therefore, 4 of the next 20 horses that come to board should you expect to be white horses
71
Linda organized one of her desk drawers as shown below.
Paper
Pens
Pens
Pens
She put paper in of her drawer and pens in of the drawer.
Part A: Write and solve an expression to represent the fraction of
her drawer that has paper and pens in it.
The solution is, that the answer to your question would be that the subject(s) of the sentence is/are the following one/s: Tablet, pens. That is, the correct option would be B.
In this sentence, the PP indicating the location of the tablet of paper and the pens appears in initial position in the sentence.
The sentence sounds odd and is not grammatically correct because in these cases an existential there is introduced.
Take a,
a) In the desk drawer, there are a tablet of paper and some pens
b) *In the desk drawer, are a tablet of paper and some pens
The NP "a tablet of paper and some pens" would function as the subject complement and the existential there acts as grammatical subject filler(a).
Hence, The solution is, that the answer to your question would be that the subject(s) of the sentence is/are the following one/s: Tablet, pens. That is, the correct option would be B.
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Suppose that the local government of Corpus Christi decides to institute a tax on soda consumers. Before the tax, 30 million liters of soda were sold every month at a price of $11 per liter. After the tax, 25 million liters of soda are sold every month; consumers pay $14 per liter (including the tax), and producers receive $6 per liter.
The amount of the tax on a liter of soda isper liter. Of this amount, the burden that falls on consumers isper liter, and the burden that falls on producers isper liter.
True or False: The effect of the tax on the quantity sold would have been larger if the tax had been levied on producers.
True
False
False. The effect of the tax on the quantity sold would not have been larger if the tax had been levied on producers.
What is Algebraic expression ?
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It may contain one or more terms, with each term separated by a plus or minus sign. Algebraic expressions are used in algebra to represent mathematical relationships and formulas.
The tax incidence (the division of the burden of a tax between buyers and sellers) does not depend on which side of the market the tax is levied on, but rather on the relative elasticities of supply and demand. In this case, we don't have information about the elasticities of supply and demand, so we cannot determine the tax incidence. However, we can infer that the tax on consumers did reduce the quantity sold (from 30 million liters to 25 million liters), so it's unlikely that a tax on producers would have had a larger effect.
Therefore, False. The effect of the tax on the quantity sold would not have been larger if the tax had been levied on producers.
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h(x) = 2x + 3
Complete the function table.
X. H(x)
-4
0
1
2
3
Answer:
X H(x)=2x+3
-4 -5
0 3
1 5
2 7
3 9
HELP ASAP PLEASE 20 POINTS!!
The calculated value of the surface area of the cylinder is 138π square inches
Calculating the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Height, h = 5 1/2 inches
Diameter, d = 12 inches
Using the above as a guide, we have the following:
SA = 2πr(r + h)
Where
Radius, r = d/2
r = 12/2
r = 6
Substitute the known values in the above equation, so, we have the following representation
SA = 2 * π * 6(6 + 5 1/2)
Evaluate
SA = 138π
Hence, the surface area of the cylinder is 138π square inches
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A typewriter says that he can write 50 pages under 60 minutes. You selected 24 cases for these 50 pages, and found that it takes 63.2 (in minutes) and its standard deviation is 7.7 (in minutes). The test statistic for this test is equal to
a.
t = 2.04
b.
Z = 1.79
c.
t = 1.79
d.
t = 2.04
Answer: To determine the correct answer, we need to calculate the t-test statistic using the given information.
The formula for the t-test statistic for a one-sample t-test is:
t = (x - μ) / (s / sqrt(n))
where x is the sample mean, μ is the hypothesized population mean (which is not given in this question), s is the sample standard deviation, and n is the sample size.
Here, x = 63.2 minutes, s = 7.7 minutes, and n = 24 cases. We are not given a hypothesized population mean, so we cannot calculate the exact t-test statistic. However, we can use the sample mean as an estimate of the population mean for the purposes of this question.
Plugging in the values, we get:
t = (63.2 - 60) / (7.7 / sqrt(24))
t = 2.04
Therefore, the correct answer is (a) t = 2.04.
A good rule of thumb is to save 10 percent of what you earn, and have at least three months' worth of living expenses saved up in case of an emergency.
False
True
Answer:
False
Step-by-step explanation:
you have to save at least 20 percent
A research study indicated a negative linear relationship between two variables: the number of hours per week spent exercising (exercise time) and the number of seconds it takes to run one lap around a track (running time). Computer output from the study is shown below.
Assuming that all conditions for inference are met, which of the following is an appropriate test statistic for testing the null hypothesis that the slope of the population regression line equals 0 ?
The appropriate statistic for testing the null hypothesis is given as D (-2.20/0.07)
How tp get the statisticCoefficient for slope variable (Exercise time) = -2.20
Standard error of coefficient = 0.07
Therefore, the test statistic value to verify whether or not there is an apparent slope on a population regression line can be estimated as follows.
Test statistic = Coefficient for slope variable/Standard error of coefficient = -2.20/0.07
Therefore its correct answer is D (-2.20/0.07)
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Bentley invested $670 in an account paying an interest rate of 6 7/8% compounded
quarterly. Camden invested $670 in an account paying an interest rate of 7 3/8%
compounded annually. To the nearest hundredth of a year, how much longer would
it take for Bentley's money to triple than for Camden's money to triple?
It will take 15.03 years for Bentley's money to triple.
How longer for Bentley's money to triple than Camden's?For Bentley:
We have
Principal (P) = $670
Interest rate (r) = 6 7/8% = 0.06875 (compounded quarterly)
Time (t) = unknown
Amount after t years (A) = [tex]P(1 + r/4)^{4t}[/tex]
For Camden:
We have
Principal (P) = $670
Interest rate (r) = 7 3/8% = 0.07375 (compounded annually)
Time (t) = unknown
Amount after t years (A) = [tex]P(1 + r)^t[/tex]
We have to find t such that 3P_Bentley = Camden.
[tex]2010 = 2010(1 + r/4)^{4t} / (1 + r)^t[/tex]
Simplifying, we get:
[tex](1 + r/4)^{4t} / (1 + r)^t = 1/3[/tex]
Taking natural logarithm:
4t ln(1 + r/4) - t ln(1 + r) = ln(1/3)
4 ln(1 + r/4) - ln(1 + r) = ln(1/3) / t
t = (4 ln(3.88356) - 4 ln(16)) / ln(3)
Solving for t, we get:
t = 15.034752564
t = 15.03 years.
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A landscaper worded 8-1/2 hours on Monday, 3-1/3 hours on Tuesday and 6-1/4 hours on Wednesday. How many total hours did she work?
If landscaper worked 8-1/2 hours on Monday, 3-1/3 hours on Tuesday and 6-1/4 hours on Wednesday then total of 18.08 hours worked.
To find the total number of hours worked, we need to add up the hours worked on each day.
On Monday, the landscaper worked for 8-1/2 hours, which is the same as 8.5 hours.
On Tuesday, the landscaper worked for 3-1/3 hours, which is the same as 3.33 hours
On Wednesday, the landscaper worked for 6-1/4 hours, which is the same as 6.25 hours.
To find the total hours worked, we add the hours worked on each day:
Total hours worked = 8.5 + 3.33 + 6.25
Total hours worked = 18.08
Therefore, the landscaper worked a total of 18.08 hours.
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Please help with this one as well,,,
The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.
How to draw a whisker plot?A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.
To create a whisker plot, follow these steps:
Collect the data you want to represent and arrange it in order from smallest to largest.Find the median, which is the middle value of the data set. If the data set has an even number of values, the median is the average of the two middle values.Find the lower quartile (Q1), which is the median of the lower half of the data set.Find the upper quartile (Q3), which is the median of the upper half of the data set.Calculate the interquartile range (IQR), which is the difference between Q3 and Q1.Learn more about whisker plots in https://brainly.com/question/2742784
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Hurry I’m running out of time helpppppp
Trey's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make aluminum balls that have a radius of 7.5 in. If
aluminum costs $0.12 per in, how much will the aluminum cost to make one ball?
Use 3.14 for x, and do not round your answer.
Thus, Cost of making 1 solid aluminium ball is found as $211.95.
Explain about the spherical shape:Something spherical is similar to a sphere in three dimensions in that it is round, or somewhat round. Even though they are never exactly round, oranges and apples are both spherical. Since an asteroid is frequently spheroidal—nearly round but lumpy—it has an approximately spherical form.
radius of solid aluminium balls r = 7.5 in.
Cost of of aluminium = $0.12 per cu. in.
Volume of sphere = 4/3 * π * r³
Volume of sphere = 4/3 * 3.14 * 7.5³
Volume of sphere = 1766.25 cu. in.
Cost of making 1 solid aluminium ball = 0.12 * 1766.25
Cost of making 1 solid aluminium ball = $211.95.
Thus, Cost of making 1 solid aluminium ball is found as $211.95.
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how many times greater is 4x10^2 than 10^4
Answer:
well 10^4 is 10000, and 4x10^2 is 1600 and if we divide 10000 by 1600 we can find out how many times greater 10000 is than 1600, and the anwser is 6.25
Step-by-step explanation:
find the inverse given T(y)=6.056y+601.39
Answer:
5 (100y -601.39)
3028
Step-by-step explanation:
Select all the correct answers.
If the measure of angle 0 is 2n/3, which statements are true?
The statements that are true are ;
1. tan(tetha) = -√3
2. the measure of the reference angle is 60°
What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The value of each angle depends on the quadrant it falls on.
First quadrant = 0-90°
second quadrant = 91° -180°
third quadrant = 181-270°
fourth quadrant = 271° - 360°
pi is measurement of angle in radians which is equivalent to 180°
therefore;
2π/3 = 2 × 180/3 = 360/3
= 120°
120 falls on the second quadrant,
tan60 = √3
tan 120 = -√3
the reference angle is 60° i.e
180-120 = 60°
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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
Answer:
2,090. because Sarah has long distances and wanted to go home
Solve for x. Round to the nearest tenth, if necessary.
8.69 is the length of the right angle.
Let's call the length you are trying to find x.
Using trigonometry, we know that:
cos(75) = x/9
Solving for x:
x = 9sin(75)
The sine function (sin) is a mathematical function commonly used in trigonometry. It relates the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse.
Using a calculator to find the cosine of 75 degrees:
x ≈ 8.69
Therefore, the length you are trying to find is approximately 8.69.
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