Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the mean absolute deviation is calculated as:
[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]
Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:
[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]
If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
Paula kitten weighs 3 1/2 pounds write this weight in the boxes using pounds and ounces.
Answer:
Step by step explanation
First, we have to convert 3 1/2 into a decimal, so we have to do the following:
1/2 = 1 divided by 2 3 1/2 = 3 + (1÷2) = 0.5 (1 ÷ 2 done by long division)
Then we add the whole number.
3 + 0.5 = 3.5
Next, we multiply
3.5 x 16 = 56 ounces.
Answer:
3 pounds and 8 ounces
Step-by-step explanation:
1 pound (lbs) = 16 ounces (oz)
Using both pounds and ounces, the problem is asking us to eliminate the decimal and substitute it for the number of ounces (a smaller unit than pounds)
So we know it is 3 pounds, but what is half a pound equal to in terms of ounces?
Remember 1 lb = 16 oz, so 1/2 of a lb = half of 16 oz
Half of 16 (or 16 ÷ 2) equals 8
Therefore, half a pound equals 8 ounces
Combining the two units together means the boxes weigh 3 pounds and 8 ounces
Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.
a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.
Answer:
Paired or Independent Samples
Quantities Samples
a. Paired Samples because the heights of the identical twins are dependent on each other.
b. Independent Samples; the height of men and women are independent of the other.
c. Independent Samples; rents in two different cities are not expected to be dependent on each other.
d. Paired Samples; rent in a certain town between this year and last year are dependent on each other.
Step-by-step explanation:
Paired Samples are used when there is a natural or matched coupling such that a data set is generated in which each data point in one dependent sample is uniquely paired to a data point in the second dependent sample. In this case, the two samples are dependent on each other.
Independent Samples are used when there is a random selection of samples because their observations are independent.
Find the area of the composite figure?
Answer:
400
Step-by-step explanation:
25*35=700
10*30=300
700-300=400
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to
-10 feet -
1 foot
3 feet
7 feet
3 feet
7 feet
2 feet
09 cubic feet
O 10 cubic feet
0 98 cubic feet
0 107 cubic feet
The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of every three dimensional objects.
In given problem, we have two rectangular prisms
One has sides (1 feet, 3 feet, 3 feet)
Another one has sides (2 feet, 7 feet, 7 feet)
Volume of a rectangular prism = Length×Height×Width
Volume of a rectangular prism 1 = 3×1×3 = 9
Volume of a rectangular prism 2 = 7×2×7 = 98
Total Volume = 107
Hence, Total dirt required 107 cubic feet
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A statement and a proposed negation are given below. Statement: The product of any irrational number and any rational number is irrational. Proposed negation: The product of any irrational number and any rational number is rational. Which of the following correctly describes the relation between the statement and the proposed negation? The proposed negation is correct. The proposed negation is not correct. A possible correct negation would be: There is not an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There does not exist an irrational product of any irrational number and any rational number. The proposed negation is not correct. A possible correct negation would be: There is an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There exists an irrational product of an irrational number and a rational number.
Answer:
The proposed negation is not correct. A possible corect negation woulld be: There is an irrational number and, a rational number whose product is rational.
Step-by-step explanation:
From the given information above:
STATEMENT: "The product of ANY irrational number and ANY rational number is irrational".
From the above statement, the word "ANY" is very vital. Let assume we choose an element x from a particular set X of irrational numbers, as well as an element y from the set Y of a rational number, therefore, the statement has a use case and applies to every x and y element. Thus, in an effective mathematical way, the statement typically implies "for all x in set X and for all y in set Y, the product x*y is irrational.
However; from the negation of the "for all" statement is "there exists" (any text in discrete arithmetic will assist you to become fully aware of this fact). Any ramifications in the statement is likewise negated, i.e; if the statement infers that the resulted product of x and y is irrational, at that point the negation(invalidation) infers that the item isn't irrational. For example, it is rational. At the point when we set up every one of these facts, we get:
"There exist an element x in the set X, in addition to that; there exists an element y in set Y; x*y is rational".
If we express that into the option given; the right option is:
"There exist an irrational number and a rational number whose product is rational"
] 1) Convert the number 2,371,875,908 to scientific notation.
Answer:
2.3718759×10^9
Step-by-step explanation:
Its the answer
Answer:
2.371875908 × 109 is ur answer.
Step-by-step explanation:
hope this helps!
~mina
A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex] = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
Solve for pizza in the pie chart!
Answer:
24
Step-by-step explanation:
30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24
Answer:
The answer is 24 students
Step-by-step explanation:
The pizza section of the pie chart is 30% and the total amount of students is 80 so you just have to find 30% of 80. You find this by multiplying 80 times .3 . Then you will get 24.
does anyone know 7-10 ??
Answer:
Step-by-step explanation:
7.18/9 divide 9 and that would equal 2/1 so its 2
8.24/40 divide 8 and that would equal 3/5
9.7/21 divide 7 and that would equal 1/3
10.9/1 stays the same so its 9
Find the area of the shape shown below. 2 4 1. 2 2 2 2 units
9514 1404 393
Answer:
10 square units
Step-by-step explanation:
The shape is a trapezoid with bases of 2 units and 8 units. Its height is 2 units, so its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(2 +8)(2) = 10
The area of the shape is 10 square units.
A line with a slope of 4 passes through
the point (2, 1). What is the equation of
this line?
Answer:
y = 4x - 7
Step-by-step explanation:
Slope = 4 ; x1 = 2 , y1 = 1
Slope point form: y -y1 = m(x -x1)
y - 1 = 4(x - 2)
y - 1 = 4x - 2*4
y -1 = 4x - 8
y = 4x - 8 +1
y = 4x - 7
A store is having a sale on jelly beans and almonds. For 2 pounds of jelly beans and 3 pounds of almonds, the total cost is $11. For 4 pounds of jelly beans and 8 pounds of almonds, the total cost is $25. Find them cost for each jelly beans and each pound of almonds.
ye I don’t so any of y’all got the answer?
Find Angel C !!!
Thank you
Answer:
c = 24
Step-by-step explanation:
Angle c is supplementary to 146 and their sum is 180
c + 146 = 180 subtract 146 from both sides
c = 34
5+6(2x-1)
i need this like now pls
Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
Alexis has a bag of starbursts. After giving half of the candy to her best friend, she ate 6 starbursts.
Now, she only has 10 starbursts left. How many starbursts did Alexis start with?
Answer: 22
Step-by-step explanation:
Class intervals in a grouped frequency distribution are given as 4−11, 12−19, 20−27, 28−35, 36−43. Write the next two class intervals.
i) what is the each class interval?
ii) write the class boundaries of all classes?
iii) what are the class marks of each class?
Answer:
{44-55}{52- 59 } are the last two interval sStep-by-step explanation:
To get the class boundaries deduct 0.5 from the first number and add 0.5 to the second number = 4-0.5 = 3.5 = 11.5 + 0.5 = 11.5 = 3.5 -11.5 as in the fish class boundary .same for all other boundariesx/-7 +14 >/ 16
show your work
include a number line
9514 1404 393
Answer:
x ≤ -14
Step-by-step explanation:
We assume you want to solve ...
x/(-7) +14 ≥ 16
Subtract 14, then multiply by -7.
x/(-7) ≥ 2 . . . . subtract 14
x ≤ -14 . . . . . . multiplying by a negative number reverses the inequality
The solution is shown on the number line below.
Expand. Put the boxes in order to show the correct expansion.
Response 4 should be + or -
loga z5y3 =
:: log
:: logi
:: logs
:: logs
:: 5
:: 3
:: 4
:: y3
Answer:
Box-4 → (+)
Step-by-step explanation:
To find the value in the 4th box, we will expand the given logarithmic expression.
log₄x⁵y³ = log₄x⁵ + log₄y³
= 5log₄x + 3log₄y
Therefore, each box will have the values as,
Box-1 → 5
Box-2 → log₄
Box-3 → x
Box-4 → (+)
Box-5 → 3
Box-6 → log₄
Box-7 → y
There is the (+) sign in Box-4.
Determine whether the System of equations 3x+y=-5; 3y+15=-9x
Answer:
Infinitely many solutions.
Step-by-step explanation:
The given system of equations are :
3x+y=-5 ...(1)
3y+15=-9x
y+5 = -3x
or
3x+y = -5 ....(2)
Here, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]
It means, two lines are coincident. It means they have infinitely many solutions.
Find the value of Y helpppp
Answer:
y = 4
Step-by-step explanation:
Both the triangles are congruent by SSS postulate.
Therefore,
[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]
An exam has 40 multiple-choice questions, each with 5 choices. Only 1 of the 5 choices for each
question is correct. If you used a table of random digits to randomly choose your answer on all
questions, about how many answers would you expect to get correct?
Select one:
O
a. 40
O
b. 0
0
C. 20
d. 8
e. 5
I will give a brilliant if the answer was correct
Please helppp
Answer:
D.8
Step-by-step explanation:
Since your chance of success is only 1 out of 5 or rather, 20%, so
40 divided by 5 equals 8, so the answer is D.
(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)
Expected number of answers to be correct = 8.
What is probability?Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.
Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (Event) = Favorable Outcome/Total Outcome = x/n
Given,
Number of questions = 40
One of 5 choices is correct
then, probability of getting correct option = 1/5
Number of correct answers = 40 × 1/5 = 8
Hence, 8 answers are expected to be correct.
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using the figure below complete the proof. Which of the following sequence of reasons may be used to fill the blanks in the two-columns proof above?
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
I just did the math nation and I go that question correct
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
i got it right
HELP ASAP!! I will give brainlist!! THANK YOU!
Answer:
dont trust me but i think its subtraction or division
Step-by-step explanation:
SALE
75% off
original price!
The original price of a red clay pot is $40. What is the sale price?
A class sets up 40 chairs. There 8 chairs in each row. How many rows of chairs are there?
Answer:
5 chairs
Step-by-step explanation:
because 40 divided by 8 is 5
Answer:
there are 5 rows
Step-by-step explanation:
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.
Part A
Which equation will help you find x, the number of boxed lunches Janie ordered?
a 4.25x = 60.75
b 4.25 + 7x = 53.75
c 4.25x + 7 = 53.75
d 4.25(x + 7) = 53.75
Part B
Solve the equation from Part A to find x.
x = _____
Answer:
Part A: c. 4.25x+7=53.75
Part B: 11
Step-by-step explanation:
4.25x+7=53.75
4.25x=46.75
x=11
The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters
Answer:
B
Step-by-step explanation:
The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88
Answer:
B
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius (half the diameter).
2r is then the diameter.
so, in our case the circumference is
42×pi = 42 × 3.14 = 131.88 mm
Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
The solution to the matrix equation ...
[tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]
is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]