I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.
Answer: either 5, 5, 14
First, we know the median is 5. Thus, the middle value of the data is 5, so the set can now be read x, 5, y. Then, because the mode is 5 and the set is not trimodal, either x or y must be 5. Thus, the set could either be 5, 5, 14, or
-4, 5, 5. However, because it must contain only positive number, the answer is 5, 5, 14
Hope it helps <3
The three positive numbers will be 5, 5 and 14.
Mode is the number that occurs most in a setMedian is the number that occurs in the middle.The Range is the difference between the highest and the lowest number.In this case, we've been given 2 of the numbers to be 5.
Then, the last number will be:
x - 5 = 9
x = 9 + 5
x = 14
Therefore, the three positive numbers are 5, 5 and 14.
Read related link on:
https://brainly.com/question/24429956
Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6
Answer:
B:-1
Step-by-step explanation:
-3-(-2)=-3+2=-1
Answer:
-1Step-by-step explanation:
[tex] - 3 - ( - 2)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] - 3 + 2[/tex]
Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.
Calculate:
[tex] - 1[/tex]
Some rules:
[tex]( + ) \times ( + ) = ( + )[/tex]
[tex]( + ) \times ( - ) = ( - )[/tex]
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex]( - ) \times ( + ) = ( - )[/tex]
Hope this helps..
A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)
Answer:
[tex]g(x) = (x-6)(2x-1)[/tex]
Step-by-step explanation:
[tex]g(x)[/tex] intercepts the x-axis at these 2 points:
[tex](6,0) ;(1/2,0)[/tex]
⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.
[tex]g(6) = g(1/2) = 0[/tex]
now in order for 0 to appear we should have [tex]x-6[/tex]
now in order for 0 to appear we should have [tex]x-1/2[/tex]
but [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:
[tex]2(x-1/2) = 2x-1[/tex]
Therefore the function;
[tex]g(x) = (x-6)(2x-1)[/tex]
Answer:
b
Step-by-step explanation:
Use the diagram to answer the question. Triangle D E F. Segments E F and D F measure 11 units. Angle F is a right angle. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E?
Answer:
m<E = 45
Step-by-step explanation:
We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.
To know which trigonometric ratio formula to apply, note the following:
Opposite side = adjacent side = 11 units.
Therefore, we use the following to find <E:
[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]
[tex] tan E = 1 [/tex]
[tex]E = tan^{-1}(1)[/tex]
[tex] E = 45 [/tex]
Mandy works construction. Shes knows that a 5 meter long metal bar has a mass of 40 kg.Mandy wants to figure out the mass (w) of a bar made out of the same metal that is 3 meters long and the same thickness.
Answer:
24 kg
Step-by-step explanation:
40/5 = 8 and 3x8 = 24
Answer:
24 kg
Step-by-step explanation:
[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answer:
15.62 = x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10 ^2 + 12^2 = x^2
100 +144 = x^2
244 = x^2
Take the square root of each side
sqrt(244) = sqrt(x^2)
15.62049935 = x
Rounding to the nearest hundredth
15.62 = x
Answer:
15.62
Step-by-step explanation:
We can use the Pythagorean Theorem.
10^2+12^2=c^2
100+144=c^2
244=c^2
15.62=c, or x=15.62
Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each. Design component Number of options Primary color 888 Secondary color 888 Sole color 888 Lace color 555 How many different shoe combinations can Arturo create?
Answer:
2560
Step-by-step explanation:
Answer:
2,560
Step-by-step explanation:
To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.
8 x 8 x 8 x 5 = 2560
Hope this helps!! ;)
Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish
Answer:
9 tomato and 23 radish
Step-by-step explanation:
r - number of radish seeds
t - number of tomato seeds
$1.75r + $2.50t = $62.75
1.75 (23) + 2.50 (9) = 62.75
40.25 + 22.5 = 62.75
$62.75 = $62.75
The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.
Hope that helps.
Answer:
9 tomato and 23 radish
Step-by-step explanation:
Dylan opened a savings account with $1,250. How much simple interest will he earn if he leaves the money in the account for three years at an interest rate of 0.03? Use the formula i = prt. $112.50 $1,125.00 $37.50 $75.00
Answer:
$112.50
Step-by-step explanation:
So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.
So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer
Thank you for helping
Answer:
The answer is option B
Step-by-step explanation:
Using BODMAS the expression in the bracket
that's
( 9 + 3) must be solved first
Hope this helps you
What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
A. 8.1
B. 9.1
C. 23
D. 3
Answer:
A - 8.1
Step-by-step explanation:
This is an example of similar shapes.
The length of MO is 18, and PO is 5.
So length of MP is 13. (18 - 5)
We need to separate this large triangle into 2 triangles:
Triangle NMP Triangle NPOIn problems including similar shapes, our unknown needs to be on top of the fraction in an equation.
NP (h) /
[tex]{\frac{NP}{MP}[/tex] = [tex]\frac{PO}{NP}[/tex]
[tex]\frac{h}{13}[/tex] = [tex]\frac{5}{h}[/tex]
Cross multiply
h² = 65
h = √65
h = 8.06
h = 8.1 (rounded)
Drawn out explanation below.
Hope this has answered your question.
pls help me if you can
Answer:
v=lwh
Step-by-step explanation:
which is length×width×height.
?help..........thanks you for helping me
Answer:
Step-by-step explanation:
cost of one box = RS20
IT IS 20 TIMES MORE THAN COST OF ONE BOX
Answer:
The cost of 1 small box of mixed organic vegetables is $20. The cost of 20 small boxes of vegetables is $380 more than the cost of 1 small box.
Step-by-step explanation:
Since the cost of 9 small boxes is $180, we can divide both by 9 to get the price of one small box. 180/9=20. The cost of 20 small boxes is 20 boxes multiplied by 20 dollars, which is 400 dollars. $400-$20=$380.
i neeed help i want help i will mark brainlisst if i can do that
Answer:
1/4
Step-by-step explanation:
there are 12 options, and only three are correct. 3/12 simplifies to 1/4
Answer:
1/4
Step-by-step explanation:
There are 12 possible outcomes
The ones that have a head and an even number are H2 H4 H6
P( head and even number) = head and even number/ total outcomes
= 3/ 12
=1/4
Which of the following equations have exactly one solution? Choose all answers that apply: (Choice A) -6x-6=-6x-103 (Choice B) -103x-6=-6x-103 (Choice C) -6x-6=103x-103 (Choice D) 103x-6=103x-103 I'll put the brainliest, if its the right ans.
Answer:
c but no step by step sorry
Answer: B and D
Step-by-step explanation:
Complete this item. Identify angle1 and angle2. Select all that apply off the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.
Answer:
Angles 1 and 2 are both obtuse and adjacent.
Step-by-step explanation:
We can go about this systematically.
Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.
Right: Greater than 90°, not equal, so not right.
Obtuse: Greater than 90°, so it's obtuse.
Adjacent: The angles are next to each other, so they are adjacent.
Vertical: They share a vertex, but they are not opposite to each other.
Complementary: They do not form a right angle together.
Supplementary: They do not form a straight angle together.
---
I hope this helps, let me know if you have any questions.
Correct Answers:
right
vertical
supplementary
I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.
Help please Name the quadrant or axis where each point lies.
Answer:
x-axis.3rd Quadrant4th Quadrant.2nd QuadrantIf 6 is subtracted from 3 times a certain number, the result is 84. Find the number.
Answer:
30
Step-by-step explanation:
So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct
algebra 1 help the answers are on the bottom please help me
Answer:
Answer b is correct!
Inequality Form: x <1 /2 or x > 1
Interval Notation: (-infinity, 1/2) U (1, infinity)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps :)
Find the number: 25% of a number is z lb.
Answer:
Depends on the number.
Step-by-step explanation:
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answer:
y = |x - 1|
Step-by-step explanation:
This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.
s25=625, s13=169 find an
Answer:what!?
Step-by-step explanation:
Crystal earns $5.50 per hour mowing lawns. A. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.B. How much does Crystal earn if she works 3 hours and 45 minutes?
HELP PLEASE 40 POINTS The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year. A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 21 at increments of 3, and the y-axis scale is shown from 0 to 168 at increments of 24. A straight line joins the ordered pairs 3, 24 and 6, 48 and 9, 72 and 12, 96 and 15, 120 and 18, 144. Previous Year Number of Bushels Price of Corn (dollars) 3 21 6 42 9 63 12 84 Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. AND IT IS NOT QUESTION AND ANSWER PLEASE LOOK AT THE GRAPH AND READ THE PARAGRAPH
Answer:
see below
Step-by-step explanation:
Part A
Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels
24/3 = 8 dollars/ bushel
Part B
Previous Year Number of Bushels Price of Corn (dollars)
3 21
6 42
9 63
12 84
We can find the rate of change for the previous year by using the slope formula
m = (y2-y1)/(x2-x1)
m = (84-63)/(12-9)
=21 / 3
= 7
The previous year was 7 dollars per bushel
The increase was 8-7 = 1 dollar per bushel
Answer:
Part A: 8 dollars/brushel
Part B: 1 dollar/brushel
Step-by-step explanation:
Without reading the question you can already conclude that this is a linear equation. Also, we can easily get the linear function:
[tex]f(x)=8x[/tex]
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.
We know that a linear function has a constant rate of change, and that is called SLOPE.
In order to calculate the slope of the linear function:
[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{48-24}{6-3}= \frac{24}{3} = 8$[/tex]
Therefore, the rate of change of a bushel of corn in the current year is 8
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.
Previous Year Number of Bushels Price of Corn (dollars)
Ordered pairs:
[tex](3, 21); (6, 42); (9, 63); (12, 84)[/tex]
Let's calculate the slope again.
[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{42-21}{6-3}= \frac{21}{3} = 7$[/tex]
The difference is 1 dollar/brushel.
The picture shows a triangular island:
Which expression shows the value of q?
A. r cos 550
B. r sin 550
C. sin over 55°
D. cos over 55°
Answer:
I think the answer is C but I'm not 100% sure
Answer:
C.
Step-by-step explanation:
Follow this Phrase, Soh-Cah-Toa.
To find q we will be using Sin.
Sin uses the opposite leg and hypotenuse
the problem will be set up like this:
Sin(55)=r/q
Write an equation of a line that has a y-intercept at (0, -6)
Answer:
[tex]y=x-6[/tex]
Step-by-step explanation:
First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.
So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].
Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]
Can you guys please help me with this? It’s for tomorrow
Help plz help I need help
Answer:
Step-by-step explanation:
There is a 1/20 chance of getting a 1.
This is a 5% chance.
I would say it's highly unlikely.
If this helped, please mark brainliest :D
Answer:
highly unlikely
Step-by-step explanation:
It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.
What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Probability.
Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,
Event favourable and Not Favourable.
the Sum of both always end up as 1.
thus sum of the probability distribution is 1.
The sum of the probabilities in a uniform probability distribution is 1.
Hence, option C is the right choice.
What is a uniform probability distribution?A uniform distribution is a probability distribution in which all events have the same probability.
Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.
How do we solve the given question?The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x ≤ b.
To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).
[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]
The sum can also be found using the graph attached, calculating the area of the red rectangle.
∴ The sum of the probabilities in a uniform probability distribution is 1.
Hence, option C is the right choice.
Learn more about uniform probability distribution at
https://brainly.com/question/20411994
#SPJ2
someone help please lol I’m stuck !!!!!
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▹ Answer
2√15
▹ Step-by-Step Explanation
[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
[tex]\mathrm{A.}[/tex] 2√15
Step-by-step explanation:
√4 × √3 × √5
Apply rule √a·√b·√c= √(abc)
√(4 × 3 × 5)
√60
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The highest perfect square is 4.
One of the pair factors of 60 is 4 and 15.
60 can be written as a product of 4 and 15.
√(4 × 15)
√4 × √15
√4 = 2
2 × √15