Answer: 1. sample mean = 97.7; sample standard deviation(s) = 9.9467; standard error (SE) = 2.2241
2. t-critical value = 2.861; margin of error (m) = 97.9 ± 6.363
3. Lower limits = 91.537; upper limit = 104.263
4. d. Sheila is 99% confident that the true population mean is between 91.537 points and 104.263 points.
Step-by-step explanation: Knowing that this sample has 20 individuals, which means n = 20:
1. Sample mean is the average of the data set:
mean = [tex]\frac{81+84+...+115+116}{20}[/tex] = 97.9
Sample standard deviation is the spread of the sample data set from the mean:
s = [tex]\sqrt{\frac{(81-97.9)^{2}+...+(116-97.9)^{2}}{20-1} }[/tex] = 9.9467
Standard Error shows how far the mean of the set is from the true popultaion mean:
SE = [tex]\frac{9.9467}{\sqrt{20} }[/tex] = 2.2241
2. The t-critical value (t) is the value you use to decide if you reject or accept the null hypothesis. It can be calculated by a calculator or found in the t-test table. To use the table:
Degrees of freedom for this set is: n - 1 = 19
Critical value (α) = 0.99. For the t-test: [tex]\frac{1-0.99}{2}[/tex] = 0.005
[tex]t_{19,0.005}[/tex] = 2.861
Margin of error (m) shows, in percentage, how different your results are from the real population value. It is calculated as:
m = 97.9 ± 2.861*2.2241 = 97.9 ± 6.363
3. Lower and Upper limits are the interval the true mean can assume with a determined certainty.
lower limit = 97.9 - 6.363 = 91.537
upper limit = 97.9 + 6.363 = 104.263
4. In this case, the statistics shows that the true population mean is between 91.537 and 104.263, 99% of the time.
A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three
Answer:
6
Step-by-step explanation:
nerd physics
Please answer this correctly
Answer:
3/20s
Step-by-step explanation:
Solve a two step equation and identify the steps to equals 2= -7/4+1/4 X
Answer:
x = 15
Step-by-step explanation:
Step 1: Write out equation
1/4x - 7/4 = 2
Step 2: Add 7/4 to both sides
1/4x = 15/4
Step 3: Divide both sides by 1/4
x = 15
Misty surgery lasted 2 1/4 hours. Convert the time to seconds
======================================================
Work Shown:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
1/4 hour = 15 minutes (divide both sides of the first equation by 4)
2 & 1/4 hours = 2 hours + 1/4 hour
2 & 1/4 hours = 120 minutes + 15 minutes
2 & 1/4 hours = 135 minutes
---------------------
1 minute = 60 seconds
135 minutes = 8100 seconds (multiply both sides by 135)
2 & 1/4 hours = 8100 seconds
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary.
1.26 0.98 1.07 0.97 1.28 0.89 1.14 0.58 1.42 0.59 0.96
The 5-number summary is :_______
Answer:
{ 0.58, 0.89, 0.98, 1.26, 1.42 }
Step-by-step explanation:
We are given the data set { 1.26, 0.98, 1.07, 0.97, 1.28, 0.89, 1.14, 0.58, 1.42, 0.59, 0.96 }, consisting of 11 elements, each the radiation of 11 cell phones.
To construct the " 5 - number summary " the first thing we want to do is arrange the numbers from least to greatest, to find the median of the data set,
{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }
The median of this data set is thus 0.98 W / kg. Mind you the units are not required here!
____
Now that we have the median, we can determine the first and third quartile, which are simply medians of the data set to the left and right of the median,
{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }
[tex]Q_1[/tex] = 0.89, [tex]Q_3[/tex] = 1.26
And of course the minimum and maximum of the data set are given to be 0.58, and 1.42
____
We have our 5 - number summary now! This includes the minimum, first quartile, median / second quartile, third quartile, and maximum values, in that order -
The 5 - number summary is { 0.58, 0.89, 0.98, 1.26, 1.42 }
And, your box and whisker plot is shown in the attachment below!
Answer quick! EASY! WILL GIVE YALL BRAINLIESTTT
Answer:
7
Step-by-step explanation:
:)
An exercise teacher wants each student in her class to have at least 48 square feet of space on the floor. What is the largest number of students she will allow in a classroom with a student exercise area of this size? A. 20 students B. 24 students C. 40 students D. 50 students
Answer:
D. 50 students
Step-by-step explanation:
First we find the area of the classroom which is worked out below and it is the shape of a rectangle;
Area of a rectangle = Length * Breadth
= 60 ft * 40 ft
= 2400 ft²
Now to find the number of students that she will allow in the classroom, we have to divide the area of the classroom which is 2400 ft²by the amount of space allocated to each student which will be;
= [tex]\frac{2400}{48}[/tex]
= 50
This means she will allow 50 students into her class.
Answer:
50
Step-by-step explanation:
20 pts marking brainliest
Use law of sines to prove the angle bisector theorem
Answer: Angle Bisector Theorem uses angle bisectors of triangles and states a relation between lengths of segments along the triangle.
Step-by-step explanation: Given any triangle ABC with point D on A C . Then Generalized Angle Bisector Theorem states that [tex]\frac{BD}{DC}= \frac{ABsin DAB}{ACsin DAC}[/tex]
Which graph represents a system of equations with no solution? On a coordinate plane, 2 lines intersect at one point. On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, a line has a positive slope. On a coordinate plane, 2 lines will intersect at one point.
Answer: On a coordinate plane, 2 lines are parallel to each other.
Step-by-step explanation:
The solution of the system of equations of two lines is the intersecting point where both lines intersect.
When two lines intersect at one point then, we say it has a unique solution.
When two lines coincide, then we say it has an infinite number of solutions.
But when two lines are parallel to each other then, we say it has no solution.
Hence, the graph represents a system of equations with no solution:
On a coordinate plane, 2 lines are parallel to each other.
On a coordinate plane, [tex]2[/tex] lines are parallel to each other.
A graph is a diagram that depicts the relationship between two or more variables measured along one of a pair of axes at right angles.
A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called [tex]y-[/tex]axis and a horizontal line called [tex]x-[/tex]axis.
A system of equations has no solution if the lines are parallel.
For more information:
https://brainly.com/question/17267403?referrer=searchResults
Calculate the annual interest for a $10,000 Treasury bond with a current yield of 3% that is quoted at 106 points.
Answer:
$318
Step-by-step explanation:
The treasury bond is $10,000
The current yield is 3%
= 3/100
=0.03
It is quoted at 106 points
The first step is to calculate the price of the bond
Price of the bond= $10,000×106/100
= $10,000×1.06
= $10,600
Therefore the annual interest can be calculated as follows
Annual interest= $10,600×0.03
= $318
Hence the annual interest is $318
What is the range of the graph of the equation y= k/x?
Answer:
all real number except 0
Step-by-step explanation:
Factor: 3d + 6d + 3.
Hey there! :)
Answer:
3(d + 1)²
Step-by-step explanation:
Given 3d² + 6d + 3:
Begin by factoring out '3' from each term:
3(d² + 2d + 1)
Factor terms inside of the parenthesis:
3(d + 1)(d + 1) or 3(d + 1)².
I'm not good ar graphs requesting assistance...
Answer:
Seven erasers cost $3.50
Hope this helps :)
Answer:
7 erasers cost 3.50
Step-by-step explanation:
11.Which word or words best complete the sentence? Two lines that lie in parallel planes _____ intersect. Sometimes Always Never
Answer:
never intersect
Step-by-step explanation
parallel lines do not intersect and neither do parallel planes
Multiply: –c2(3c – 2)
Answer:
3c^3+2c^2
Step-by-step explanation:
Answer:
3c^3 +2c^2
Step-by-step explanation:
–c^2(3c – 2)
Distribute
=c^2 * 3c - c^2 * -2
3c^3 +2c^2
How much dirt is in a hole that is 3 in by 3 in by 1 ft? Please give a detailed explanation for Brainliest.
Answer:
Well the best answer would be 1 0.75 cubic feet bag of dirt
Step-by-step explanation:
If f(7) = 8 find
f-1(8)
Answer:
34293
Step-by-step explanation:
because it 36 and 45. it is right
SNOG PLEASE HELP! (x-1)(y+8)
Answer:
xy + 8x - y - 8
Step-by-step explanation:
We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.
F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.
O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.
I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.
L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.
Adding all of these together, we get xy + 8x - y - 8 as our final answer.
Hope this helps!
Answer:
[tex]xy+8x-y-8[/tex]
Step-by-step explanation:
=> (x-1)(y+8)
Using FOIL
=> [tex]xy+8x-y-8[/tex]
Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵
Answer:
2^5
Step-by-step explanation:
The base is the same
2^3 * 2^2
We are multiplying, so we can add the exponents
2^3 * 2^2 = 2^(3+2) = 2^5
Answer: [tex]2^{5}[/tex]
Explanation: I have written this problem on the whiteboard.
For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.
So 2³ · 2² is just [tex]2^{5}[/tex].
A common mistake in this problem would
be for students to say that 2³ · 2² is [tex]4^{5}[/tex].
It's important to understand however that when applying your
exponent rules, your base in this case 2 will not change.
SOMEONE PLEASE HELP ME. WILL MARK BRAINLIEST
Answer:
Function
Step-by-step explanation:
The following is a one-on-one function since neither the domain nor the range is being repeated.
Answer:
Function
Step-by-step explanation:
A relation has a connection between the input and output.
You can determine whether each element of the domain is paired with exactly one element of the range.
A function can only have one y value for each x value, so you can't repeat the same x value.
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $34,000; second year, $76,000; third year, $80,000; fourth year, $100,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 1st Year 2nd Year 3rd Year 4th Year Preferred stock (dividends per share) $ 0.57 $ 0.63 $ 0.6 $ 0.6 Common stock (dividends per share) 0.00 0.09
Answer and Step-by-step explanation:
The computation of dividends per share on each class of stock for each of the four years is shown below:-
Particulars 1st year 2nd-year 3rd-year 4th year
Preferred dividend
paid a $34,000 $38,000 $36,000 $36,000
Number of preferred
stock b 60,000 60,000 60,000 60,000
Dividend per share
(a ÷ b) $0.57 $0.63 $0.60 $0.60
Dividend paid to common
stockholders c $0 $38,000 $44,000 $64,000
Number of common stock
shares d 410,000 410,000 410,000 410,000
Dividend per share
on common stock $0 $0.093 $0.11 $0.16
(c ÷ d)
Working note:
Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend
= 60,000 × $20 × 3%
= $36,000
Preferred stock
For 1st year
= $34,000
For 2nd-year
Dividend in year 2+ Dividend balance in year 1
= $36,000 + ($36,000 - $34,000)
= $38,000
For 3rd-year
= $36,000
For 4th year
= $36,000
Common stock dividend
Particulars 1 year 2 year 3 year 4 year
Total dividend paid $34,000 $76,000 $80,000 $100,000
Less:
Preferred stock
dividend $34,000 $38,000 $36,000 $36,000
Dividend paid to common
stockholders $0 $38,000 $44,000 $64,000
Please answer this correctly
4 cards. The probability of picking the 6 would be 1/4 ( 1 out of 4 cards)
After the first card is picked you have 3 cards left, 2 are less than 6, so you would have a 2/3 Probability.
The probability of both happening is:
1/4 x 2/3 = 2/12 = 1/6
The answer is 1/6
Find the pattern and fill in the missing numbers: 1, 1, 2, 3, 5, 8, __, __, 34, 55
Answer:
13, 21
Step-by-step explanation:
Fibonacci sequence-
Each number is added to the number before it.
1+1=2
2+1=3
3+2=5
5+3=8
Answer:
The missing numbers are 13, and 21.
The pattern given is the Fibonacci Sequence, where each number is the sum of the two numbers before it, starting with 0 and 1. (i.e. 5 is 2+3)
A normally distributed data set with a mean of 35 and a standard deviation of 5 is represented by the normal curve. What is the z–score corresponding to 45?
Answer:
The z–score corresponding to 45 is z=2.
Step-by-step explanation:
We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.
The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.
The z-score for X=45 can be calculated as:
[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2[/tex]
The z–score corresponding to 45 is z=2.
helpppppppp with this please will give bralienst
Answer:
n = 600
Step-by-step explanation:
To solve this equation:
1. Simplify all like terms: 5400/9 = 600 = n
2. The n cannot be simplified.
3. The answer is n = 600 because 5400/9 is 600 which is equal to n
The expression 3 × 7 – 4 × 8 + 2 is equivalent to which of the following?
Answer:
-9
Step-by-step explanation:
3 time 7
minus
4 times 8
21 - 32
-11+2= -9
I NEED HELP PLEASE, THANKS! :)
Find the angle θ between u = <7, –2> and v = <–1, 2>.
47.5°
42.5°
132.5°
137.5°
Answer:
Step-by-step explanation:
Cos θ = u*v
IuI *IvI
u * v = 7*(-1) + (-2)*2
= -7 - 4
= -11
IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]
= [tex]\sqrt{49+4}\\\\[/tex]
= [tex]\sqrt{53}[/tex]
I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]
= [tex]\sqrt{1+4}\\\\[/tex]
= [tex]\sqrt{5}\\[/tex]
Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]
= [tex]\frac{-11}{16.28}\\\\[/tex]
Cos θ = -0.68
θ = 132.5°
Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10 per week and originally borrowed $170. Write an equation for L,L, in terms of t,t, representing the amount Alexa owes her friend after tt weeks.
Answer:
[tex]L(t) = 170 - 10t[/tex]
Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:
[tex]L(t) = L(0) - bt[/tex]
In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly, [tex]b = 10, L(0) = 170[/tex]. So
[tex]L(t) = L(0) - bt[/tex]
[tex]L(t) = 170 - 10t[/tex]
We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 128 t + 320 . What is the highest altitude that the object reaches?
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be [tex]h(t) = -16\cdot t^{2} + 128\cdot t + 320[/tex], the first and second derivatives are, respectively:
First Derivative
[tex]h'(t) = -32\cdot t +128[/tex]
Second Derivative
[tex]h''(t) = -32[/tex]
Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:
[tex]-32\cdot t +128 = 0[/tex]
[tex]t = \frac{128}{32}\,s[/tex]
[tex]t = 4\,s[/tex] (Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:
[tex]h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320[/tex]
[tex]h(4\,s) = 576\,ft[/tex]
The highest altitude that the object reaches is 576 feet.
What is the volume of this aquarium?
Answer:
9,000 inches^3
Step-by-step explanation:
The first part is 20 x 20 x 20, which equals 8,000
The second part is 10 x 10 x 10, which is 1,000
1,000 + 8,000 = 9,000