Answer:
28.24500
Step-by-step explanation:
Shen bought a desk on sale for $218.40. This price was 72% less than the original price. What was the original price?
Answer:
780
Step-by-step explanation:
In this example we will call Original Price = y
72%=0.72
218.40=0.72*y
1-0.72=0.28
218.4÷0.28=780
Triangle ABC has vertices (−,),(,−), (−,−). What are the coordinates of the vertices of △′′′ for each reflection?
cu ochii iesiti din orbite propozitie dau coroana
Answer:
idfk lol hehe hope this helps
Step-by-step explanation:
The highest scorer of the women's basketball championship was Jessica Bradley. She scored 146 more points than Tina Harner, her teammate. Together, Bradleyand Harner scored 1592 points. How many points did each player score during the championship?
Let Tina Harner's point be represented by 'x'.
Also, let Jessica Bradley's point be
\(x+146\)Therefore,
\(x+x+146=1592\)Evaluate for x
\(\begin{gathered} 2x+146=1592 \\ 2x=1592-146 \\ 2x=1446 \\ x=\frac{1446}{2}=723 \\ \therefore x=723points \end{gathered}\)Then, Jessica Bradley's point is
\(x+146=723+146=869\)Final answers
\(\begin{gathered} Tina\text{ Harner=723points} \\ Jessica\text{ Bradley=869points} \end{gathered}\)Help again you know me
A car left Town A at 9:30 a.m. and reached Town B at 11:30 a.m. Its average speed was 60 km/h. Find the distance between Town A and Town B.
Answer:
120 km
Step-by-step explanation:
its average speed was 60 km an hour and it took 2 hours from town a to town b so 60km + 60km = 120
\({\large {\orange{\underline {\underline {\mathcal {♡AnSwER♡⤵}}}}}}\)
Left Town A at 9:30 am
Reached town B at 11:30 a.m
Therefore, Time taken by the car is =( 11:30 - 9:30) hrs =2 hrs
The speed of the car =60 km/h
So, the distance between Town A and B is = (Speed × Time) =( 60 × 2 )km =120 km.
The distance between Town A and B is 120 km. (Ans)
Hope it helps you
\(\red{\rule{200pt}{5pt}}\)
\(\bold{Thank ~you~:)}\)
Lesson 11 exit ticket 4.5
Answer:
i dont know what you want here but hi explain the question
Step-by-step explanation:
Answer:
There is no way anyone will understand this question, so here you go. Enjoy.
Aisha organized her books for 5 hour and her coin collection for 3 hour. 7 What is the best estimate for the total time Aisha spent organizing?
Answer:
about 8 hours
Step-by-step explanation:
8 hours. It is Five hours plus Three hours.
g Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Complete question is;
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher at ODU decides to randomly sample 15 female college students. Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Answer:
σ = 1.77
Step-by-step explanation:
We are told that 70% stated that they plan to graduate with a STEM degree.
This means that probability of success is; p = 70% = 0.7
A sample of 15 female college students were randomly selected, this means that number of trials is;
n = 15
Now,in binomial distribution formula for standard deviation is;
σ = √(np(1 - p))
Plugging in the relevant values, we have;
σ = √(15 × 0.7 × (1 - 0.7))
σ = √(15 × 0.7 × 0.3)
σ = √3.15
σ ≈ 1.77
Suppose that the functions fand g are defined as follows.
f(x)=(4+x)(6+x)
g(x) = 1+x
Find (f/g)(-5)
Find all values that are NOT in the domain of f/g
(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.
To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).
Given:
f(x) = (4+x)(6+x)
g(x) = 1+x
Substituting -5 into the functions:
f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1
g(-5) = 1+(-5) = -4
Now, we can calculate (f/g)(-5):
(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4
Therefore, (f/g)(-5) equals 1/4.
Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.
To find the values that make the denominator zero, we solve the equation:
1 + x = 0
Subtracting 1 from both sides, we get:
x = -1
So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.
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Let f(x) = x ^ 2 g(x) = sqrt(x - 1) and h(x) = 2x + 3 Express each function k as a composite of two out of these three functions.
k(x) = sqrt(x ^ 2 - 1)
We can write k(x) as the composition of g(x) and f(x).
k(x) = g(f(x))
How to express k(x) as a composition?A composition of two functions means that we need to evaluate one function in the other one.
Here we have the functions:
f(x)= x²
g(x) = √(x - 1)
h(x) = 2x + 3
And we know that:
k(x) = √(x² - 1)
So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:
k(x) = g(f(x))
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The average low temperatures in international falls minnesota are shown in the graph f(x) represents the function that contains these points find each of the following
The Relative Maximum will be (7, 50) and minimum is (12, 0).
We have the graph showing average low temperatures in international falls minnesota.
From the graph the maximum y coordinate is 50.
So, the Relative Maximum will be (7, 50).
and, the minimum y coordinate is 0.
So, the Relative minimum is (12, 0)
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Plz help I need help plz
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
1/4 is the scale factor from Figure A to Figure B.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size
Figure A is original so figure B is new object.
Scale factor=14/56=7/28=16/64
=1/4
Hence, 1/4 is the scale factor from Figure A to Figure B.
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can anyone help please...........????
Answer:
112 Degrees
Step-by-step explanation:
The other angle is inverse making X also 112 Degrees
Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for r(t) are measured in tonnes (metric tons) per second. Note that r(t) is increasing over the interval [0, 6]. t 0 1 2 3 4 5 6 r(t) 28 18 34 48 54 60 (a) Give upper and lower estimates (in tons) for the total quantity Q(6) of erupted materials after six seconds. (Use six equal subintervals.) lower estimate Q(6) tons upper estimate tons = 016) (b) Use the midpoint rule to estimate Q(6) (in tons). (Use three equal subintervals.) Q(6) = tons Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table. t(h) 0 2 4 6 8 10 r(t) (L/h) 8.6 7.5 6.7 6.4 5.7 5.1 Find lower and upper estimates for the total amount of oil in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.) lower estimate upper estimate
Lower estimate obtained would be = 35.4 liters
Upper estimate obtained would be = 35.4 liters
What is Estimate?
Estimation finds an estimate or approximation.
An approximation is a value, amount, or size closest to the true value found by rounding off.
To find upper and lower estimates for the total quantity of erupted materials after six seconds using six equal subintervals, we can use the left endpoints and the right endpoints of the subintervals to find the estimates.
The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. Since there are six subintervals, we have:
lower estimate = (28 + 18 + 34 + 48 + 54 + 60) * (6/6) = 324 tons
The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval. We have:
upper estimate = (18 + 34 + 48 + 54 + 60 + 60) * (6/6) = 324 tons
To use the midpoint rule to estimate Q(6) using three equal subintervals, we need to find the midpoints of the subintervals. The subintervals are [0,2], [2,4], and [4,6]. The midpoints are 1, 3, and 5. The value of r(t) at these points is 18, 48, and 54 respectively. The midpoint rule estimate is given by:
Q(6) = (18 + 48 + 54) * (6/3) = 180 tons
To find lower and upper estimates for the total amount of oil leaked over the interval [0, 10] using five equal subintervals, we can again use the left endpoints and the right endpoints of the subintervals to find the estimates. The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval.
The subintervals are [0,2], [2,4], [4,6], [6,8], and [8,10]. The left endpoints are 0, 2, 4, 6, and 8, and the right endpoints are 2, 4, 6, 8, and 10. The lower estimate is obtained by using the left endpoints:
lower estimate = (8.6 + 7.5 + 6.7 + 6.4 + 5.7) * (10/5) = 35.4 liters
The upper estimate is obtained by using the right endpoints:
upper estimate = (7.5 + 6.7 + 6.4 + 5.7 + 5.1) * (10/5) = 35.4 liters
Hence, The Lower estimate obtained would be = 35.4 liters and
Upper estimate obtained would be = 35.4 liters
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3- -27x'yó
SOMEONE HELP ASAPPP
Answer:
24. 18.2360564556
Step-by-step explanation:
i don't have any thing
For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
Exercise 1 (7 points)
The following data represent the scores of students in an Inferential
Statistics examination 5-12-8-14-11.
1. Determine the mean, variance and standard deviation of this population
2. How many simple random samples of size 2 can be constructed in an
exhaustive manner?
3. The sampling distribution of the sample means is studied, determine
the mean, variance and standard error of this sampling distribution.
4. Determine the variance of this sampling distribution.
5. This is considered to be data from a simple random sample, determine a
point estimate of the population mean and variance.
Answer: 1.To find the mean, we sum up all the scores and divide by the number of scores:
Mean = (5 + 12 + 8 + 14 + 11) / 5 = 50 / 5 = 10
To find the variance, we first find the deviation of each score from the mean:
5 - 10 = -5
12 - 10 = 2
8 - 10 = -2
14 - 10 = 4
11 - 10 = 1
We square each deviation and sum them up:
(-5)^2 + 2^2 + (-2)^2 + 4^2 + 1^2 = 26
Then, we divide by the number of scores to find the variance:
Variance = 26 / 5 = 5.2
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √5.2 = 2.28
2. To construct a simple random sample of size 2, we can choose any two scores from the population. The number of ways to do this is given by the combination formula:
C(5,2) = 5! / (2! * (5 - 2)!) = 10
Therefore, there are 10 simple random samples of size 2 that can be constructed.
3.The mean of the sampling distribution of the sample means is equal to the population mean, which we found to be 10. The variance of the sampling distribution is equal to the population variance divided by the sample size:
Variance of sampling distribution = Variance / Sample size = 5.2 / 2 = 2.6
The standard error of the sampling distribution is the square root of the variance:
Standard error = √2.6 = 1.61
4.The variance of the sampling distribution is 2.6, as we found in part
5. Since this is considered to be data from a simple random sample, we can use the sample mean as a point estimate of the population mean. Therefore, the point estimate of the population mean is 10.
Similarly, we can use the sample variance as a point estimate of the population variance. However, we need to correct for the bias in the sample variance by dividing by (n-1) instead of n:
Point estimate of population variance = Variance * (n / (n-1)) = 5.2 * (5 / 4) = 6.5
Step-by-step explanation:
This diagram shows the blue prints a contractor drew for a ramp. In order for the ramp to meet safety regulations, the angle created by the bottom of the ramp and the ground should be no more than 18°.
How many degrees should the contractor lower the ramp by in order to meet safety regulations?
Enter your answer, rounded to the nearest tenth, in the box.
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
We have,
To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.
In the given triangle, the height is 6 ft and the base is 16 ft.
The angle we want to find is opposite the height (let's call it θ).
The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.
sin(θ) = opposite/hypotenuse
sin(θ) = 6/16
sin(θ) = 0.375
To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:
θ = arcsin(0.375)
θ ≈ 22.62°
To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:
22.62° - 18° ≈ 4.62°
Thus,
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
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PLS ANSWER PLS PLS I HAVE A TEST PLS the function d(t)=1/2 at x 2 can be used to estimate the distance that a dropped object falls into the t seconds. the constant a has a value of 4.8m/s x 2. how far, to the nearest tenth of a meter, does an acorn fall 2.25 secs. 2(2.2)=_____ meters
the acorn falls approximately 12.15 meters (to the nearest tenth of a meter) in 2.25 seconds.
what is gravity ?the natural force that makes things fall to the ground when you drop them.
The given function is:
d(t) = (1/2)a\(t^2\)
where a = 4.8 m/\(s^2\) is the acceleration due to gravity.
To find the distance an acorn falls in 2.25 seconds, t = 2.25 seconds
d(2.25) = (1/2)(4.8)\((2.25)^2\)
= (1/2)(4.8)(5.0625)
= 12.15 meters (rounded to two decimal places)
Therefore, the acorn falls approximately 12.15 meters.
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Using the information found in Part A, which class could Mrs. Smith report had the more consistent performance on the unit test? Explain what this means in terms of the situation.
A flagpole casts a shadow that is 14 feet long. At the same time, a person standing nearby who is 5 feet 6 inches tall casts a shadow
that is 42 inches long. How tall is the flagpole?
Flagpole:
feet
Answer:
22 feet
Step-by-step explanation:
As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:
14 ft = 14 × 12 = 168 inches5 ft 6 in = 5 × 12 + 6 = 66 inchesTherefore:
Flaghole height = h inFlagpole shadow = 168 inPerson height = 66 inPerson shadow = 42 inDraw a diagram using the given information (see attachment).
From the diagram, we can see that the flagpole and the person are parallel. Therefore, the two triangles are similar.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, set up a ratio of height to shadow length and solve for h:
\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)
\(\implies \sf h:168=66:42\)
\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)
\(\implies \sf h=\dfrac{66}{42} \cdot 168\)
\(\implies \sf h=\dfrac{11088}{42}\)
\(\implies \sf h=264\;inches\)
Convert the height into feet by dividing by 12:
\(\implies \sf h=\dfrac{264}{12}=22\;feet\)
Therefore, the height of the flagpole is 22 feet.
The sum of two numbers is −45. One number is 9 more than the other. Find the numbers
Answer:
-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
c) A human resource analyst wants to know if the applicants this year score, on average, higher on their placement exam than the 52.5 points the candidates averaged last year. She samples 50 recent tests and finds the average to be 54.1 points. She fails to reject the null hypothesis that the mean is 52.5 points. At the end of the year, they find that the candidates this year had a mean of 55.3 points. Choose the correct answer below. A. The analyst did not make an error. The actual value was 55.3 points, which is close to 52.5. B. The analyst made a Type I error. The actual value was 55.3 points, which is greater than 52.5. C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5. D. The analyst made a Type II error. The actual value was 55.3 points, which is close to 52.5. E. The analyst made a Type I error. The actual value was 55.3 points, which is close to 52.5.
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
Answer:
Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Step-by-step explanation:
The null hypothesis was the applicants last year score, on average was 52.5 points.
Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.
At the end of the year, they find that the candidates this year had a mean of 55.3 points.
A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3 points, which is greater than 52.5
Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute long video
The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.
What is the time taken by Mabel to edit the hour?According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.
On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.
Hence, the time taken to edit the 15minute long video is; 20 hours.
hi
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Identify 2 congruent angles
Look at picture for reference
In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.
Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.
However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.
Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.
Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:
∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees
Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:
∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees
Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.
Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.
In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
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The sum of two numbers is 12. The difference of the two numbers is 6. What are the two numbers?
Answer:
3 and 9
Step-by-step explanation:
x+y=12
y-x=6
y-x=6
+x. +x
y=6+x
x+(6+x)=12
6+2x=12
-6. -6
2x=6
/2. /2
x=3
3+y=12
-3. -3
y=9
Hopes this helps please mark brainliest
elaciona las columnas com lindas
rturo ha hecho una tabla de la dieta que seguirá, pero empezó por las calorías que ingerirá
quiere saber la cantidad de gramos que puede consumir por alimento.
220 gramos
65.6 calorias de pera
80 gramos
957 calorias de carne
350 gramos
3500 calorias de pan
875 gramos
840 calorias de queso
Answer:
6,887.6
Step-by-step explanation:
220+ 65.6+ 80+ 957+ 350+ 3500+ 875+ 840= 6,887.6
The amount of grams he can consume per food are:
65.6 calories pear is 220 grams.957 calories of meat is 350 grams.3500 calories of bread is 875 grams.What is a calorie?A calorie can be defined as a standard unit which is used for the measurement of the total quantity of energy contained in a particular food.
Based on the given information, the amount of grams he can consume per food in accordance with the standard set by the Food and Drugs Administration (FDA) are:
65.6 calories pear is 220 grams.957 calories of meat is 350 grams.3500 calories of bread is 875 grams.840 calories of cheese is 80 grams.Read more on calorie here: brainly.com/question/11460467
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Donna went for a drive in her new car. She drove at a speed of 53 miles per hour for 169.6 miles . For how many hours did she drive?
\(\tt v=\dfrac{d}{t}\)
\(\tt t=\dfrac{d}{v}=\dfrac{169.6}{53}=3.2~h\)