Answer:
$941.65
Step-by-step explanation:
Salex tax:We have to find the sales tax of the camera.
tax rate = 9.5%
listed price = $859.95
\(\sf Sales \ tax = tax \ rate * listed \ price\)
= 9.5 % * 859.95
= 0.095 * 859.95
= $81.70
To find the total cost, add the sales tax to the listed price.
Total cost = 859.95 + 81.70
= $941.65
Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form.
Answer:
work is shown and pictured
Assume production time per unit is normally distributed with a mean 40 minutes and standard deviation 8 minutes. Using the empirical rule, what percent of the units are produced in MORE than 32 minutes?
Answer:
84%
Step-by-step explanation:
We find the z-score here
z= x-mean/SD = 32-40/8 = -1
So the probability we want to find is;
P(z>-1)
This can be obtained using the standard score table
P(z>-1) = 0.84 = 84%
Jim started reading at 6:45. He read for 1 hour and 20 minutes. When did Jim stop reading?
Jim stopped reading at 8:05, after reading for 1 hour and 2 minutes when we started at 6:45.
How do we add time?In time problems, we need to know the relations between seconds, minutes, hours, and days.
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds.
How do we solve the given question?We are informed that Jim starts reading at 6:45.
He reads for 1 hour and 20 minutes.
We add this time to the time he starts reading to find the time when Jim stops reading.
First we add hours, 6 + 1 = 7 hours.
Now we add minutes, 45 + 20 = 65 minutes. But we know 60 minutes = 1 hour, so we can say 65 minutes = 1 hour and 5 minutes.
So when we calculate the total time, we get,
Jim stopped reading at 7 + 1:05 = 8:05.
∴ Jim stopped reading at 8:05, after reading for 1 hour and 20 minutes when we started at 6:45.
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Select the correct answer. A linear function on a coordinate plane passes through (minus 3, 3), (0, 2), and (3, 1) In the function above, the slope will be multiplied by -9, and the y-value of the y-intercept will be increased by 2 units. Which of the following graphs best represents the new function? A linear function on a coordinate plane passes through (minus 1, 3), (0, 0), and (1, minus 3) W. The graph shows a linear function passes through (0, 4), (1.2, 0), and (3, minus 5) X. The graph shows a linear function passes through (0, 4), (minus 1.2, 0), and (minus 3, minus 5) Y. A linear function on a coordinate plane passes through (1, 3), (0, 0), and (minus 1, minus 3) Z. A. W B. X C. Z D. Y
The graph which best represents the new function is: Y. a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).
How to determine the graph of the new function?First of all, we would determine the slope of the linear function as follows:
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{2\;-\;3}{0\;-\;(-3)}\)
Slope, m = -⅓.
Multiplying by -9, the new slope is:
Slope = -⅓ × -9
Slope = 3.
For the equation of this line, we have:
y - y₁ = m(x - x₁)
y - 3 = -⅓(x - (-3))
y - 3 = -⅓x - 1
y = -⅓x - 1 + 3
y = -⅓x + 2
Increasing the y-value by 2, we have:
y + 2= -⅓x + 2
y = -⅓x + 2 - 2
y = -⅓x.
Therefore, we would have a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).
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please help! What is the exact volume of the cylinder?
Enter your answer, in terms of π, in the box.
\(\pi \: {r}^{2} h\)
\( \frac{22}{7} \times \: {5}^{2} \times 15\)
\(1178.09725\)
Please look at the photo for the question. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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2x-5/3+x/4=1 ?????????
Answer:
X= 32/27
Step-by-step explanation:
..................that much only..........
Flying Home for the Holidays
Does the airline you choose affect when you'll arrive at your destination? The dataset Arrival Times contains the difference
between actual and scheduled arrival time from 1000 randomly sampled December flights for two of the major North American
airlines, Delta Air Lines and United Air Lines. A negative difference indicates a flight arrived early. We are interested in testing
whether the average difference between actual and scheduled arrival time is different between the two airlines.
Answer:
i think its they are diffrent scheduleds
Step-by-step explanation:
What is 86% of 950? *
Answer:86%of 950= 817
Step-by-step explanation:
Answer:
817
Step-by-step explanation:
Look at this set of 7 numbers. 3275951 by how much would the median decrease if the number 3 were added to the set? Hurry pleaseeeeee
determine whether the statement describes a population or a sample. the number of times the students on your floor order fast food in a week.
The number of times the students on your floor order pizza in a week, population.
A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.
A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.
A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.
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The complete question is:
Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Contestants A, B, C, D, and E are in a 10K race. How many different ways can a race with 5 runners be completed? (Assume there is no tie.)
In how many ways can B finish first and D finish second?
What is the probability that B finishes first and D finishes second? Enter a reduced fraction or decimal.
The race with 5 runners can be completed in 120 ways. The number of ways in which B finish first and D finish second is 6 ways. The probability that B finishes first and D finishes second is 0.01667
A permutation is referred to as the number of ways in which linear elements can be arranged in an orderly manner. It is usually expressed by the formula:
\(\mathbf{_nP_r = \dfrac{n!}{(n-r)!}}\)
The number of different ways in which a race with 5 runners can be completed can be estimated by using permutation.
\(\mathbf{_nP_r = \dfrac{5!}{(5-5)!}}\)
\(\mathbf{= \dfrac{5!}{1!}}\)
= 120 ways
If we fix B at first and D at second, then, the number of ways in which B and D can finish first and second respectively is:
\(= \mathbf{3P_3 = 3!}\)
= 6 ways
We know that the total number of ways A, B, C, D, and E can finish the race = 5!
The total number of ways B and D finish first and second is = 2!
∴
The probability that B and D finish 1st and 2nd respectively can be computed as:
\(\mathbf{P( B \ and \ D) = \dfrac{2!}{5!}}\)
\(\mathbf{P( B \ and \ D) =0.01667}\)
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Find the selling price.
Cost to store: $75
Markup: 35%
Answer:
101.25
Step-by-step explanation:
75.00 x 35% = 26.25
26.25 + 75.00 = 101.25
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.
Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
Look for a pattern. What are the next two terms in the sequence?
55, 44, 33, 22, ...
This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
Given:
Sequence is 55, 44, 33, 22, ...
We need to find the next two terms in the sequence.
According to the question,
Now, calculating the common difference of arithmetic sequence.
d1 = 44 - 55 = -11
d2 = 33 - 44 = -11
Hence, the common difference d is -11.
Now, calculating the next two terms of given sequence.
We know that,
\(a_n = a+ ( n-1) \times d\)
\(a_5 = 55 + ( 4) \times (-11)\\\\a_5 = 55 -44\\\\a_5 = 11\)
\(a_6 = 55 + ( 5) \times (-11)\\\\a_6 = 55 -55\\\\a_6 = 00\)
Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.
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For time 0≤t≤10 , water is flowing into a small tub at a rate given by the function F defined by F(t)=arctan(π/2−t/10). For time 5≤t≤10 , water is leaking from the tub at a rate given by the function L defined by L(t)=0. 03(20t−t^2−75). Both F(t) and L(t) are measured in cubic feet per minute, and t is measured in minutes. The volume of water in the tub, in cubic feet, at time t minutes is given by W(t).
(a) At time t=3 , there are 2. 5 cubic feet of water in the tub. Write an equation for the locally linear approximation of W at t=3 , and use it to approximate the volume of water in the tub at time t=3. 5.
(b) Find W′′(8). Using correct units, interpret the meaning of W′′(8) in the context of the problem.
(c) Is there a time t , for 5
(d) The tub is in the shape of a rectangular box that is 0. 5 foot wide, 4 feet long, and 3 feet deep. What is the rate of change of the depth of the water in the tub at time t=6 ?
(a) W(3.5) ≈ 2.5 + 0.483(0.5) ≈ 2.7625 cubic feet.
(b) W''(8) ≈ -0.0397 - (-0.6) ≈ 0.5603 cubic feet per minute per minute.
(c) We can solve for t numerically using a graphing calculator or other numerical method. One possible solution is t ≈ 5
What is the quadratic equation?
The quadratic equation is a formula used to solve quadratic equations of the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable.
(a) To find the locally linear approximation of W at t=3, we first need to find W(3) and W'(3).
We know that at time t=3, the volume of water in the tub is 2.5 cubic feet. Therefore, W(3) = 2.5.
To find W'(3), we need to use the fact that the rate of change of the volume of water in the tub is equal to the rate of water flowing in minus the rate of water leaking out.
So, W'(t) = F(t) - L(t).
At time t=3, we have F(3) = arctan(π/2 - 3/10) ≈ 1.383 cubic feet per minute, and L(3) = 0.03(20*3 - 3² - 75) = 0.9 cubic feet per minute. Therefore, W'(3) = 1.383 - 0.9 = 0.483 cubic feet per minute.
The locally linear approximation of W at t=3 is given by:
W(t) ≈ W(3) + W'(3)(t-3)
W(t) ≈ 2.5 + 0.483(t-3)
To approximate the volume of water in the tub at time t=3.5, we plug in t=3.5 into the above equation:
W(3.5) ≈ 2.5 + 0.483(0.5) ≈ 2.7625 cubic feet.
(b) To find W''(8), we first need to find an expression for W'(t). We know that:
W'(t) = F(t) - L(t)
Taking the derivative with respect to t:
W''(t) = F'(t) - L'(t)
We know that F(t) = arctan(π/2 - t/10), so F'(t) = -1/(10π/4 - t²/100 + t/5²) * (1/5), where we used the chain rule and the derivative of arctan(x) = 1/(1+x²). Evaluating this expression at t=8, we get F'(8) ≈ -0.0397 cubic feet per minute.
We also know that L(t) = 0.03(20t - t²- 75), so L'(t) = 0.03(20 - 2t). Evaluating this expression at t=8, we get L'(8) = -0.6 cubic feet per minute.
Therefore, W''(8) ≈ -0.0397 - (-0.6) ≈ 0.5603 cubic feet per minute per minute.
Interpreting the meaning of W''(8), we see that it represents the rate of change of the rate of change of the volume of water in the tub at time t=8. Specifically, W''(8) tells us how quickly the volume of water in the tub is changing with respect to time at time t=8 is changing.
(c) Yes, there is a time t for which the volume of water in the tub is neither increasing nor decreasing. This occurs when the rate of water flowing into the tub is equal to the rate of water leaking out. That is, we need to find a value of t such that F(t) = L(t).
We can solve for t numerically using a graphing calculator or other numerical method. One possible solution is t ≈ 5
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Best and correct answer gets BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).
Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)
Only B goes up 4 and over 3 (has the slope of 4/3)
Answer: B
1-
-5-4-3-2-11₁
H
5
4
3
2
Mark this and return
-2+
-3+
AWN
-4
-5
]
[
C
1 2 3 4 5 x
]
What is the range of the function on the graph?
all the real numbers
O all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3
The range of the function on the graph is C. all the real numbers greater than or equal to –3 .
How to get the range?We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .
So, the range contain all the real numbers greater than or equal to –3 .
Therefore, the range contain all the real numbers greater than or equal to –3 .
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Cheeseburgers to go has advertised for counter help. If you take the job, you will be working 18 hours
a week for $69.20 per week. How much would you make an hour?
Answer:
about $3.84
Step-by-step explanation:
you do 69.20 divided by 18
can you help me find this solution if you can explain it to me please also
Solve for x!!! HELP!!!
I require someone to answer this question for me ASAP please?
Answer:
x has to be less than 3
Step-by-step explanation:
Answer:
x < 3
I hope this helps!
The variables y and x have a proportiurial relationship, and y = 28 when x = 21.
What is the value of x when y = 42?
x= 14
x = 18 2/3
x= 31 1/2
x=56
Answer:
x = 31 1/2
Step-by-step explanation:
If y = 42, that means the original y = 28 was multiplied by 1.5, so we have to multiply x = 21 by 1.5 to find the answer.
21 * 1.5 = 31.5 A.K.A 31 1/2
WILL MARK BRAINLIST
Put in slope intercept form, then give the slope and y-intercept below
*92 + 4y = – 16*
The slope is: ?
The y-intercept is: ?
Answer:
slope= 0
y intercept= -27
Step-by-step explanation:
4y= -108
y= -27
slope= 0
y intercept= -27
since this line will always have -27 as its y value.
asap i need help with my missing homework
The area of a rectangular picture frame is 4 1/3 square inches. The length of the frame is 3 1/2 inches. Find the width of the frame.
Answer:
13/14
Step-by-step explanation:
Area of a rectangle = l * b
=> 4 1/3 = 3 1/2 + b
=> (4 1/3) / (3 1/2) = b
=> (13/4) / 7/2 = b
=> 13/4 * 2/7
=> 13/2 * 1/7
=> 13/14
Therefore the width = 13/14
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Thank you!!
Find the sum of the measures of the interior angles of the figure.
Answer:
\(\huge\boxed{\sf 900}\)
Step-by-step explanation:
Sides of the figure = n = 7
Formula for measuring the interior angles of a polygon:(n - 2)×180
Where n is the number of sides in the polygon
So,
Measure of interior angles in the figure:= (n - 2) × 180
= (7 - 2) × 180
= 5 × 180
= 900
\(\rule[225]{225}{2}\)
Answer: 720°
Step-by-step explanation:
- Assuming this is a regular hexagon, all the sides are equal and all the angles are equal
- One of the properties of a regular hexagon is that the sum of all the interior angles is 720°
- Since the sum of all the interior angles is 720°, this means each interior angle is 120°
hope this helps :)
3) You roll a number cube what's the probability of
rolling a number higher than 4 and then a 2?
Answer:
1/18
Step-by-step explanation:
Probability of getting a number higher than 4=1/3
Probability of getting 2=1/6
Probability of rolling a number higher than 4 and then a 2=(1/3)*(1/6)=1/18
Archaeology: Tree Rings. At Burnt Mesa Pueblo, the method of tree-ring dating gave the following years A.D. for an archaeological excavation site: 1189, 1271, 1267, 1272, 1268, 1316, 1275, 1317, 1275. Find a 90% confidence interval for the mean of all tree ring dates from this archeological site.
After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)
What is standard deviation?A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.
Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):
t = t(0.05, 8) = 1.860
Now we can calculate the lower and upper bounds of the confidence interval:
Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)
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