Complete Question
A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.
Answer:
The value of the 16th percentile is [tex]x = 20[/tex]
The range for the middle 3 standard deviation is [tex]10 \to 40[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 25[/tex]
The median is [tex]m = 24[/tex]
The mode is [tex]n = 26[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
Generally the 16th percentile is mathematically represented as
[tex]P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/te
Generally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )[/tex]
So
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = 0.16[/tex]
Now from the normal distribution table the z-score of 0.16 is
z = -1
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = P(Z \le -1 )[/tex]
=> [tex]\frac{x- 25}{5} = -1[/tex]
=> [tex]x- 25 = -5[/tex]
=> [tex]x = 25-5[/tex]
=> [tex]x = 20[/tex]
The range for the middle 3 standard deviation is mathematically represented
[tex]\mu - 3\sigma \to \mu + 3\sigma[/tex]
[tex]25 - 3(5 ) \to 25 + 3(5 )[/tex]
[tex]10 \to 40[/tex]
The number 35 is decreased to 33. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
The answer is
[tex]5.7 \: \%[/tex]Step-by-step explanation:
To find the percentage at which the number decreased we use the formula
[tex]Percentage \: change (\%) = \frac{change}{original \: quantity} \times 100\% \\ [/tex]From the question
The original number is 35
To find the change subtract the smaller number from the larger number
That's
Change = 35 - 33 = 2
Substitute the values into the above formula and solve.
That's
[tex]\% \: change = \frac{2}{35} \times 100 \\ = 5.714285[/tex]We have the final answer as
5.7 % to the nearest tenthTherefore the number decreased by 5.7%
Hope this helps you
Answer:5.7
Step-by-step explanation:
Hope that helps
A small publishing company is planning to publish a new book. The production cost will include one-time fixed cost such as editing and variable costs (such as printing) There are two production method it could use. With one method, the one time fixed cost will total $57,641, and a variable cost will be $10 per book. With the other method, the one time fixed cost will total $16,682 and a variable cost will be $19.25 per book. For how many books produces will the costs from the two methods be the same?
Answer:
4,428 books
Step-by-step explanation:
make the equation 57,641+10x=16,682+19.25x
(you’re using that equation because the numbers have to be equal at the end. also “x” is the variable) after that subtract 16,682 from both sides that should give you (40,959+10x= 19.25x) after that subtract 10x from both sides, that should give you (40,959 = 9.25x) Lastly divide both sides by 9.25 and you should get x=4,428.
I don't get this pls help
Answer:
d, e
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
In this case, it means the product is ...
(6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36
__
The 6 without an exponent is equivalent to 6^1, an exponent of 1.
The sum of the exponents is -2.
Add the exponents to simplify the expression.
The value of the expression is 1/36.
An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).
__
Only the last two choices, d and e, apply.
3. If tangents PA and PB from a point P to a circle with centre O are inclined to each other
at angle of 80°, then Z POA is equal to
Answer:
∠POA= ∠POB = 50°
Step-by-step explanation:
The diagram of the given question has been drawn in the attachment.
From the diagram
Δ PAO is congruent to Δ PBO.
as PO is common in Δ
∠ PAO = ∠PBO = 90°
PA =PB [ tangent from an external point]
⇒∠POA= ∠POB
Also, ∠APB+ ∠AOB = 180°
⇒ 80° + ∠AOB = 180°
⇒∠AOB = 100°
⇒ ∠POA= ∠POB = 50°
a companies division registered a loss of -$2480 while producing 80 identical parts what was the last per part
Answer:
the loss per part was - $31
Step-by-step explanation:
If the total of losses was $2480 for 80 identical parts, then the loss per part is the division of $2480 by 80:
$2480/80 = $31
So the loss per each part was $31
which normally will be given with a negative sign in front indicating loss:
- $31
Solve by substitution 4y=2x and 2x+y=x/2+1
Answer:
x=1/2 y=1/4
Step-by-step explanation:
Get simplify the first equation to get x alone
4y/2=2x/2
2y=x
Plug x into the second equation
2(2y)+y=(2y)/2 +1
4y+y=y+1
4y+y-y=y-y+1
4y=1
y=1/4
Now plug the y-value into one of the equations and solve for x
4(1/4)=2x
2x=1
x=1/2
Check by plugging both the x- and y-values into the other equation and solving to make sure both sides are equal
2(1/2)+(1/4)=(1/2)/2 +1
1+1/4=1/4+1
5/4=5/4
The values are correct!
Is anyone good at math? That can be my tutor? College Math to be exact.
Answer:
Of course, there is
Step-by-step explanation:
I'm sure there are a lot of smart people here on brainly that can be of good help. You can message any of them for help. At the mean time, you can post your maths problems here on brainly and we'll try as much as possible to help out where and when we can. Thank you, and good luck.
Find the three trigonometric function values for the angle ø shown.
sin ø =
cos ø =
tan ø =
Answer:
at ∠A sin Ф = 180 + (2 / [tex]\sqrt{22}[/tex] )
at ∠B cos Ф = 180 + (3[tex]\sqrt{2}[/tex] / [tex]\sqrt{22}[/tex] )
at ∠C tan Ф = 180 + (2 / 3[tex]\sqrt{2}[/tex] )
Step-by-step explanation:
let (a) = 3[tex]\sqrt{2}[/tex]
let (b) = 2
let (c) = r
to get the value of hypotenuse (r) use pythagorean theorem
a² + b² = c²
2² + (3[tex]\sqrt{2}[/tex] )² = c²
c = [tex]\sqrt{22}[/tex]
use the law of sines to get the value of angle A (point origin)
sin Ф = opp / hyp
cos Ф = adj / hyp
tan Ф = opp / adj
at ∠A
sin Ф = 180 + (2 / [tex]\sqrt{22}[/tex] )
at ∠B
cos Ф = 180 + (3[tex]\sqrt{2}[/tex] / [tex]\sqrt{22}[/tex] )
at ∠C
tan Ф = 180 + (2 / 3[tex]\sqrt{2}[/tex] )
The definition of a circle uses the undefined term _______
Answer:
plane because i know what it is
Answer: plane
Step-by-step explanation: I just did it
Write an equation, in slope-intercept form using the given info.
(5, 4) m= -2/3
Answer:
y = -2/3x + 22/3
Step-by-step explanation:
An equation is written in slope-intercept form when it is written as:
y = mx + b, where m is the slope of the line and b is the y-intercept.
Therefore, because we are given m and a coordinate pair of the line, we can use the point-slope formula to make the equation.
The point-slope formula is [tex]\boxed{y-y_{1}=m(x-x_{1})}[/tex].
Because we are given only one coordinate pair, it is labeled as [tex](x_{1}, y_{1})[/tex].
Now, just plug in this information and solve the equation.
y - 4 = -2/3(x - 5) Distribute the -2/3 throughout the terms.
y - 4 = -2/3x + 10/3 Add 4 to both sides of the equation.
y = -2/3x + 22/3
Find the domain and range of following using interval notation
Answer:
Domain: [- ∞, 4.5],
Range: [0.5, ∞]
Step-by-step explanation:
One approach is a graphical representation to solving the problem, which you can see as the two attachment's below. Clearly the domain would be on the interval [- ∞, 4.5] and the range would be on the interval [0.5, ∞]. There is another approach to this though,
We can determine the domain by finding what value for p makes the function undefined
Given : h(p) = (p + 3) / (2p - 9),
Value for p where denominator = 0 :
2p - 9 = 0,
2p = 9,
p = 9 / 2 = 4.5
And to determine the range we have to determine the set of values that corresponds with the domain. In this case it's p = 0.5.
Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost 9 2 3 4 2 5 9 10
Number 85 52 55 68 67 86 83 73
A.-0.071
B. 0.708
С. 0.235
D. 0.246
Answer:
B.) 0.708
Step-by-step explanation:
Given the following data :
Cost of advertising (in thousands of $) (x) :
9
2
3
4
2
5
9
10
Number of product sold (in thousands of $) (y) :
85
52
55
68
67
86
83
73
Using the pearson Coefficient of correlation calculator, the correlation Coefficient obtained for the data above is : 0.7077 = 0.708 (3 decimal places).
This depicts a strong positive correlation between the cost of advertising and the number of product sold as the correlation Coefficient is both positive and close to 1. This means payibg a high cost for advert will almost usually result in a corresponding increase in the number of products sold.
(1b) Using the equation, evaluate the function. Find f (0) - f(-4)
f(x)
3x - 4 if x <-6
-*-1 if-6x<-1
4 if x 2-1
Answer:
Hey there!
f(-4)=-4-1, or -5.
f(0)= 4
4-(-5)
9
Let me know if this helps :)
Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost 9 2 3 4 2 5 9 10
Number 85 52 55 68 67 86 83 73
A.-0.071
B. 0.708
С. 0.235
D. 0.246
Answer:
(B) 0.708
Step-by-step explanation:
The table, representing details of this information and all that are necessary to calculate the linear correlation coefficient r, has been attached to this response.
With all details well represented on the table, we can now find the linear correlation coefficient r using the relation attached to this response:
From the relation;
n = sample size = 8
∑xy = 3347
∑x = 44
∑y = 569
∑x² = 320
∑y² = 41681
Substitute these values into the relation as follows;
[tex]r = \frac{3347 - \frac{44* 569}{8} }{\sqrt{(320 - \frac{44^2}{8} )(41681 - \frac{569^2}{8} ) } }[/tex]
[tex]r = \frac{217.50}{307.32}\\[/tex]
r = 0.7077
r = 0.708 to 3 decimal places
Therefore, the value of the linear correlation coefficient is 0.708
Sydney has 24 coins that are a mixture of nickels and dimes that are worth $1.95. How many dimes does she have?
Answer: 15 dimes
Step-by-step explanation:
Nickels are 5 cents and dimes are 10 cents and since they are a total of 1.95 coins in total we can set up the two equations and solve for how much there are for each of the money.
x + y = 24
0.05x + 0.10y = 1.95 so solve for y and x is the number of nickels while y is the number of dimes.
x+y=24
-y -y
x = -1y +24
0.05(-1y +24) + 0.10y = 1.95
-0.05y + 1.2 + 0.10y = 1.95
0.05y + 1.2 = 1.95
-1.2 -1.2
0.05y = 0.75
y = 15
Suppose your parents are traveling on a work-related trip for a whole week. They left you P10,000 as allowance for the week to be divided fairly among you and your two younger siblings. How would you divide the money, assuming that the amounts should be in whole pesos and with no spare change? Explain how you came up with your division in one sentence.
Answer:
The divison would be:
My two yonger siblings: P3000 Each
Me: P4000.
This idea came about due to the fact that, the eldest an the youngest siblings are not meant to receive equal amount of anything when it is shared among them.
Step-by-step explanation:
This is the only logical way in which the P10,000 can be shared between me and my younger siblings in-order to obtain a whole pesos division and with no fractions. Anything aside this, would give room to involve spare change.
The amount each person gets from P10,000 in whole pesos and with no spare change is P4,000, P,3000 and P3,000 respectively.
Total amount given as allowance = P10,000
Number of people to share it = 3
1 older and 2 younger siblings
Let
the older sibling get P4,000
Each younger sibling gets P3,000
Each person gets a whole value of pesos without a remainder in the total allowance given.
Therefore, the amount each person gets from P10,000 is P4,000, P,3000 and P3,000
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My friend makes $7.50 an hour and a combined total of $1500 dollars has made up all of her income from that job. She's curious how much she would have if she was making $8.50 but doesn't wanna go recount her hours herself. Any quick/easy way to find out?
Answer:
use conects thats the best for any math problem including word problems
Answer:
$1500/$7.50 = 200 hours
Step-by-step explanation:
Divide the amount she made by how much she makes an hour.
[tex]\frac{1500}{7.50}[/tex] = 200 hours
Isolate x: 1 + Ax-B=0
Answer:
x=(-1+B)/A
Step-by-step explanation:
1+Ax-B=0
Ax-B=0-1
Ax=0-1+B
x=(0-1+B)/A or 0/A-1/A+B/A
:)
If the candidate only wants a 0.2% margin of error at a 95% confidence level, what size of sample is needed?
Answer:
n = 22
Step-by-step explanation:
Using
n = p(1-p)(Zc/E)²
From table E = 0.2 while p= 0.37
So substituting
We have n= 22.4
Thats a sample size of approximately 22
A data set that includes the years in which your hometown team won championships would be classified as what type of data
Answer:
Interval
Step-by-step explanation:
The interval scale is guageable and data following this scale can be added and subtracted.
Years are values we can either subtract or minus so they fall under the interval scale.
Also, they have no absolute zero, which is a characteristic of the interval scale.
Which rigid motion verifies the triangles are congruent by SAS?
Answer: Reflection.
Step-by-step explanation:
In the image, we can see that the right angles share a common side. In this common side, we can see that the right angles of the triangles are next to each other (because we have a straight line cut by a perpendicular one) and the same case for the top angle.
Then if we do a reflection over this common line of one of the triangles, the result will be the other triangle.
Then the correct option is a reflection
The rigid motion that verifies the triangles are congruent by SAS is reflection.
The angle of reflection simply means the angle that's formed between the normal ray and the reflected ray. It's the line that's perpendicular to the resulting surface at the point of incidence.
According to the law of reflection, the angle of reflection must be equal to the angle of incidence. Therefore, the rigid motion that verifies the triangles are congruent by SAS is reflection.
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https://brainly.com/question/17296106
5. The number of service calls received by a local fire department is between 0 and 5. The probabilities are 0.10, 0.15, 0.30, 0.20, 0.15, 0.10, respectively. a. Write the probability distribution for the number of service calls in a given day. b. What is the expected number of service calls per day in this fire department
Answer:
2.45
Step-by-step explanation:
1. Probability distribution shows us sample space(number of calls) and their probabilities
Number of calls. Probability
0. 0.10
1. 0.15
2. 0.30
3. 0.20
4. 0.15
5. 0.19
2. We are to find expected number of calls
(0x0.1) + (1x0.15) + (2x0.30) + (3x0.20) + (4x0.15) + (5x0.10)
E(X) = 0 +0.15 + 0.6 + 0.6 + 0.6 + 0.5
= 2.45
The expected number of Service calls per day is 2.45
Thank you!
What can be concluded of the graphed polygon?
•The slope of side a is -3/5.
•The opposite sides of the polygon are parallel.
•The adjacent sides of the polygon are perpendicular.
•The polygon is a rectangle.
Answer: the slope of side -3/5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the equation of a line that is parallel to -6x+3y=3 and passes through the point (5,4).
[tex]\[\begin{array}{l} - 6x + 3y = 3\\y = 2x + 1\\f(x) = 2x + b\\f(5) = 4\\4 = 2 \cdot 5 + b\\ - 6 = b\\f(x) = 2x - 6\end{array}\]\\[/tex]
Which of the following would indicate an improvement in a company's financial position, holding other things constant?
a) The DSO decreases.
b) The inventory and total assets turnover ratios both decline.
c) The debt ratio increases.
d) The ROA decreases.
e) The MV/BV ratio increases.
Answer:
a) The DSO decreases.
Step-by-step explanation:
DSO is short for Days Sales Outstanding and it is a measure of how quickly a company can convert its accounts receivable to cash. A company is described as strong when it has enough cash flow and this can be achieved by reducing the length of days within which accounts receivable can be converted to cash.
For the company to achieve a lowered DSO, it must ensure that customers with bad or low credit ratings are not allowed, or reasonably reduced in the business. The accounting and payment procedures must also be checked to be expedient so that delays in payment procedures would be reasonably reduced.
Susana has four times as much money as Cristina. Also the money of both adds $ 540 How much money does Cristina have?
Answer: Cristina has $135
Step-by-step explanation:
Since Susana has 4 times as much money as Cristina, just multiply 135 x 4 and you’ll get 540. Susana has 405, add 135 + 405 and you’ll get 540.
Answer:
Step-by-step explanation:
C= Cristina
S= Susana
4C =540
C= 540/4
C=135
So Cristina has $135.
135 X 4 =540
An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many people per 100 spelled each word correctly. a. Estimate the number of people per 100 who spelled weird correctly Round to the nearest 5 b. In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate a. The approximate number of people per 100 who spelled were correcily is (Type a whole number
Answer:
60 ; 5220
Step-by-step explanation:
A) From the horizontal bar chart provided, it could be inferred that 85 people spell the word 'weird' correctly. The graph is scaled on a fixed interval of 10. Hence, the midpoint of 10 = 5
(80 + 5) = 85
B) In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate
From the graph :
85 per 100 could spell weird correctly while,
About 25 per 100 could spell inoculate correctly.
Difference In number per 100 people
(85 - 25) = 60 people per 100
We could round 8719 to the nearest 100 = 8700
Number of 100's in 8700 = 8700/100 = 87
(87 × 60) = 5,220 people
Plz help!
1/8 x 2/3 = ?
Lowest terms ????
Answer:
Normal form = 1/12
Decimal form: 0.0833
Using your understanding of analytic and synthetic geometry, which of the following figures does not belong?
Answer:
Pyramid
Step-by-step explanation:
Figures in the diagram:
Triangle formed by 3 line segmentsPlane (intersecting the prism)PyramidThe first two have two dimensions and the third one has three dimensions
Therefore pyramid does not belong
A_____is a set of assumptions about how sample data are selected and about the population from which the sample data are selected.a. random sampling.
b. statistical model.
c. descriptive statistics.
d. probability sampling.
Answer: probability sampling
Step-by-step explanation:
Probability sampling is used as a sampling method in which the researcher chooses samples from a large population using a method which is based on the theory of probability. For an item to be qualify as a probability sample, that item must be selected using a random selection. An example is the selection of 2 girls from a group of 20 students where 12 are girls and 8 are boys.