Answer:
Mode = 1
Step-by-step explanation:
Relation between the Central Measures of Tendency
Mean, Median, and Mode are commonly referred to as the Central Measures of TendencyThe formula between the three is given by :⇒ Mode = 3Median - 2Mean or Mode + 2Mean = 3MedianSolving
We know that :Median = 5Mean = 7Therefore,
Mode = 3(5) - 2(7)Mode = 15 - 14Mode = 1[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
We know the relation between mean, Median and mode. that is :
[tex]\qquad \sf \dashrightarrow \:mode = 3 \: median - 2 \: mean[/tex]
now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \:mode = 3(5) - 2(7)[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 15 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 1[/tex]
Hence, value of mode is 1
A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The conditions for inference are met. The test statistic is t = –2.74 and the P-value is between 0.005 and 0.01. What conclusion should be made at the significance level, Alpha?
Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Fail to reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Fail to reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
The answer is: Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
If s = 1 over 4 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answer:
A = 1 square unit
Step-by-step explanation:
Given:
[tex]\sf s=\dfrac14[/tex][tex]\sf A=16s^2[/tex]To find A, substitute the value of s into the equation for A and solve:
[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]
[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]
[tex]\sf \implies A=\dfrac{16}{16}[/tex]
[tex]\sf \implies A=1[/tex]
Therefore, A = 1 square unit
[tex]\\ \rm\rightarrowtail A=16s^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]
[tex]\\ \rm\rightarrowtail A=1units^2[/tex]
what is the measurement for x? anwer fastpls
Answer:
137°
Step-by-step explanation:
90+47= 137°
the sum of two interior angles is equally to the further exterior angle.
A cylinder-shaped container has a radius of 20 centimeters and a height of 100 centimeters.
What is the approximate volume of the cylinder?
Enter your answer in the box. Use 3.14 to approximate pi.
Answer: The volume of the cylinder is 125, 600 cm^3
Step-by-step explanation:
Volume = 3.14 x Radius^2 x Height
Volume = 3.14 x 20^2 x 100
Volume = 3.14 x 400 x 100
Volume = 125,600 cm^3
Mrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown below. She plans to cover each one with bulletin board paper for a project. What is the minimum amount of paper she will need?
Answer: 12,888 in^2 (inches squared)
Step-by-step explanation:
Simplify and write in scientific notation (5.6 * 10 ^ 5)/(1.4 * 10 ^ - 2)
Answer:
4.0x10^7
Step-by-step explanation:
5.6÷1.4=4
10^(5-(-2))
=10^7
=4.0x10^7
What is the run of a 50% slope with a rise of 50 feet?
a
Answer: 25
Step-by-step explanation: because 50% of 50 is 25
PLEASEE answerrrrrr
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $ 200,000. What was the leading brands sales? Show your work.
Answer: $40000
Step-by-step explanation:
200000(0.2) = $40000
Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are
blue. How many blue marbles does he have
A student solves this problem by writing an equation. Which strategy could help check the student's answer?
final answer
Answer:
Add 12 and 15 to their X value.
Step-by-step explanation:
X = 28, but they could check by adding 12 and 15 to see if it adds to 55.
Answer:
15
+12
=27
55
-27
=28
28 of the marbles are blue
Sam’s teacher asked him to make observations about animals at the zoo. sam went to the zoo and filled in these two charts that the teacher gave him. what is the main difference between the species in group 1 and group 2? question 3 options: group 1 has small organisms, group 2 has large organisms. group 1 are endothermic, group 2 are exothermic. group 1 are vertebrates, group 2 are invertebrates. group 1 has exoskeletons, group 2 has soft bodies.
The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.
What are vertebrates?Vertebrates are those animals that have a spinal cord.
Invertebrates are those who do not have a spinal cord or vertebrae.
The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.
The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.
Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.
Learn more about vertebrates
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Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k2 − 16ck − 40k
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
✿————✦————✿————✦————✿
The answer is: 2(k2−4k)(2c+5)
✿————✦————✿————✦————✿
Step:
* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.
* Factor out the common term 2c+5 by using the distributive property.
* Rewrite the complete factored expression.
✿————✦————✿————✦————✿
Answer:
2(k2−4k)(2c+5)
Step-by-step explanation:
The blue dot is at what value on the number line?
Answer:
17
Step-by-step explanation:
✌
The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.
The dimensions of the reduced rectangle are 5(length) and 4(width).
The original length of the rectangle= 20
The original width of the rectangle=16
What is a scale factor?It is the factor by which the size or dimension of an object is dilated.
Reduced length/Original length = 0.25
Reduced length = 0.25 * original length
Reduced length = 0.25 * 20
Reduced length = 5
Reduced width/Original width = 0.25
Reduced width = 0.25 * original width
Reduced width = 0.25 * 16
Reduced width = 4
Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).
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Help me pleaseeeeeee
Answer:
926% and I'm pretty sure the other one is 0.7
Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %
Does anyone know this?
Answer:
9
Step-by-step explanation:
y= mx+b
m is slope
b is y-int
Explain three key differences between index funds and mutual funds
The three main differences are management style, investment objective and cost — and index funds are the clear winner.
Sure hope this helps you and pls mark me brainiest!
The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.
What is index funds?"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."
What is mutual funds?"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "
"If a mutual fund is active, then it has high fees than index fees."
"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."
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hi anyone can help me :) i have no idea how to do it . pls help me thx
Explanation:
The first column is nothing but "2"s.
The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.
So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.
The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.
How many pairs of corresponging angles are formed when a transeversal is cut by 2 parallel lines?
Answer: 4
Step-by-step explanation:
There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,
What are parallel lines?Parallel lines are the lines that do not intersect or meet each other at any point in a plane.
They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.
When a line is cut by a transversal, 4 angles are formed,
2 angles are >=90° while 2 are <=90°
So when we take 2 parallel lines, 4 pairs are formed.
Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,
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Trey decides to raise the price of his tomatoes from $5 a basket to $6 a basket. What is the percent of the increase?
Answer:
(6-5)/5=20% increase
Step-by-step explanation:
help me please I will mark as brainlist
Answer:
[tex] \frac{ \alpha + \beta + \gamma }{ - d} [/tex]
Step-by-step explanation:
If we simplify that fraction, we get
[tex] \frac{ \alpha + \beta + \gamma }{ \alpha \beta \gamma } [/tex]
Keep that in mind.
If y, a ,b are zeroes of the cubic polynomial, then that means
[tex](x - \alpha )(x - \beta )(x - \gamma )[/tex]
make up the polynomial.
Notice that leading xoeffeicent will be 1, so the roots will multiply to
[tex] - d[/tex]
so
[tex] \alpha \beta \gamma = - d[/tex]
which gives us
[tex] \frac{ \alpha + \beta + \gamma }{ - d} [/tex]
Proof:
Consider the function
[tex](x - 2)(x - 3)(x - 5)[/tex]
The roots are 2, 3, 5.
D is -30 so we get
Using the value,
[tex] \frac{2 + 3 + 5}{ 30} = \frac{1}{3} [/tex]
If we use the orginal equation, we get
[tex] \frac{1}{6} + \frac{1}{10} + \frac{1}{15} = \frac{10}{30} = \frac{1}{3} [/tex]
Answer:
Hey,mate
Notice that leading xoeffeicent will be 1, so the roots will multiply to
The roots are 2, 3, 5.
[tex]\sqrt{2} \sqrt{3} \sqrt{5}[/tex]
D is -30
What is the angle measure θ in degrees such that cos(θ) = 2/16? Round your answer to the nearest degree.
Answer: 83 degrees
Step-by-step explanation:
In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:
[tex]cos(x)=\frac{2}{16} =\frac{1}{8}[/tex]
[tex]arccos(cos(x))=arccos(\frac{1}{8} )=x[/tex]
Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:
[tex]x=arccos(\frac{1}{8} )[/tex]
[tex]x=83[/tex]
Need help on this question ASAP please please !!
SHORT EASY QUESTION PLS HELP)
Find the exact volume if the radius is 7 inches and the height is 18 inches.
Answer:
V≈2770.88Step-by-step explanation:
The radious is 7 inches, that means the diameter is 14 inches.
The height is 18 inches. so...
V=πr2h=π·72·18≈2770.88472
So hence, your answer is
V≈2770.88-------------------------------------------------------------------------------------------------------------
Always keep more than 2 smiles so that you can share! Me happy! You happy! EVERYONE HAPPY!
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Have a great day!
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The diameter of a wheel from a bicycle is 66 cm about how far will the wheel travel in one complete turn.
since the diameter is 66 cm, then its radius is half that or 33 cm.
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]
3x-6y=-12
6x+6y=30
What is the value of x and y
Answer:
(2,3) or x=2 and y=3
Step-by-step explanation:
find x...
3x-6y= -12
3x = 6y-12
x = 2y-4
plug x into the other equation
6(2y-4) + 6y = 30
12y-24 +6y = 30
18y = 54
y = 3
Plug y into an equation to find x
3x-6(3) = -12
3x-18= -12
3x=6
x=2
[Answer] y=3 and x=2 or (2,3)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
James has 3 blue candies and 3 green candies. 3 people come in and take 2 candies. What is the probability that they do not take 2 candies of the same color?
~ pls solve, i'm really confused
Answer:
33.3333333333
Step-by-step explanation:
we see that there are 6 candies in total
we also see that there is a 50% chance that someone will take out 3 candies of the same color,
50/3 = 16.66666666666667
so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333
I hope I could help
What is a formula for the nth term of the given sequence?
16,8, 4...
Answer:
Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide
Step-by-step explanation:
Geometry shapes I need help asap
Ay, help?
What is the measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠P=
°
Answer:
P=67.38
Step-by-step explanation:
All three sides are given. You can use any one of the the three major functions on your calculator to g
Adjacent = PQ = 5
Hypotenuse = PR = 13
Cos(P) = Adjacent / Hypotenuse
Cos(P) = 5/13
Cos(P) = .3846
Now you need to use the inverse cos to get P
P = cos-1(.3846)
P =67.38
=====================================
Now we'll try the tangent
Tan(P) = opposite / adjacent
Tan(P) = 12/5
Tan(P) =2.4
P = Tan-1(2.4)
P = 67.38
Both functions give the same thing
[tex]\\ \rm\Rrightarrow cosP=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cosP=\dfrac{5}{13}[/tex]
[tex]\\ \rm\Rrightarrow cosP=0.38[/tex]
[tex]\\ \rm\Rrightarrow P=cos^{-1}(0.38)[/tex]
[tex]\\ \rm\Rrightarrow P=67.67°[/tex]