Answer:
8 (or 8.4)
Step-by-step explanation:
First, the problem states the words: Distinct and positive.
That means that the smallest number we can use is 0.
We can make 10 blanks for 10 numbers for us to fill in.
_ _ _ _ _ _ _ _ _ _
Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.
In this case, our two numbers are the 5th and 6th blank.
Any two numbers can be used, as long as they are the same actual value from 10.
Let us first put in the numbers we can, which are the numbers before the two middle blanks.
0,1,2,3, _ _ _ _ _ _
To find the median between two numbers, we can do:
(a+b) divided by 2 = median
We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.
Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.
4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.
Now let's place the other numbers in for these two equations.
0,1,2,3,4,16,17,18,19,20
0,1,2,3,9,11,12,13,14,15
If we add the numbers of each together, we get:
0,1,2,3,4,16,17,18,19,20=100
0,1,2,3,9,11,12,13,14,15= 80
If we now divide each sum by 10 (to find the average) we get:
10
8
Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.
Since the smaller answer we got was 8, the answer must be 8.
(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process
The cpi is currently 153. if a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent? a. $20.85 b. $21.20 c. $26.60 d. $48.81
its C
One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.
It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.
What is CPI?It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'
The formula for finding the CPI:
[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]
Where [tex]\rm c_t[/tex] is the cost in the current market
[tex]c_0[/tex] is the cost at the given period.
We have in the question:
[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]
Putting these values in the CPI formula, we get:
[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]
Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.
Learn more about the CPI here:
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The perimeter of a quarter circle is 3.57
yards. What is the quarter circle's radius?
P = 3.57 yd
Given -
The perimeter of a quarter circle is 3.57yards. ie, P = 3.57 ydTo find -
the quarter circle's radiusSolution -
We know to find the perimeter of the quarter of a circle we use the formula,
1/4 × circumference of the circle
= 1/4 × 2πr
= 1/4 × 2×3.14×3.57
= 2.8 yards
PLEASE HELP
If you have a graph of two lines, explain how to find the solution to the system of equations.
Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
will give brainliest, pls help ASAP!
Step-by-step explanation:
2 × 10⁸ - 7 × 10⁷
= 200,000,000 - 70,000,000
=130,000,000
= 1.3 × 10⁸
Answer:
130 million
Step-by-step explanation:
200 million in N
70 million in F
200-70 = 130 million
Hope this helps have a great day
A pharmaceutical company has developed a new drug for people with psoriasis, a skin condition. Researchers would like to estimate the proportion of users who saw improvement in their skin after using the drug. Let p represent the true proportion of users whose skin improved. Which of the following is the smallest number of users the researchers can survey to guarantee a margin of error of 0.05 or less at
the 99% confidence level? (Use p^ = 0.5)
a. 600
b. 650
c. 700
d. 750
======================================================
Explanation:
At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.
We're given that [tex]\hat{p} = 0.5[/tex] as the sample proportion and E = 0.05 is the desired error.
The min sample size n is:
[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\[/tex]
Always round up to the nearest integer.
Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.
Use the graph that shows the solution to f(x)=g(x).
f(x)=−(x+2)(x−2)
g(x)=2|x+2|
What is the solution to f(x)=g(x)?
Select each correct answer.
−2
0
2
4
Answer: -2, 0
Step-by-step explanation:
The graph this represents this system is the second graph since the vertex of the absolute value function is at x=-2.
So, to find the solutions, we can find the intersection points. These are at x=-2 and x=0.
Pls help i am extremly stressed with this question
Answer:-7/8>-0.60
C is not true
When 3 + 3x − 5 − 8x is simplified, the result is:
-5x − 2.
-5x − 8.
-11x − 15.
6x − 13x.
Answer: -5x - 2
Step-by-step explanation:
Combine like terms: (3x - 8x) + (3 - 5) → -5x - 2 :)
Math homework pls helps!!
12
Step-by-step explanation:
[tex] \sqrt{ - 72k} \\ \\ = \sqrt{ - 72( - 2)} \\ \\ = \sqrt{144} \\ \\ = 12[/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
=12
Nathan is going to invest in an account paying an interest rate of 4. 9% compounded continuously. How much would Nathan need to invest, , for the value of the account to reach $34,000 in 9 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$34000\\ P=\textit{original amount deposited}\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ t=years\dotfill &9 \end{cases} \\\\\\ 34000=Pe^{0.049\cdot 9}\implies 34000=Pe^{0.441}\implies \cfrac{34000}{e^{0.441}}=P\implies 21875.35\approx P[/tex]
21b-32+7b-20b=?
Tell fast pls
21b-32+7b-20b=
21b + 7b - 20b - 32
8b - 32
Hello!
21b-32+7b-20b=
21b +7b -20b -32
= 28b -20b - 32
= 8b -32
Please help me I will mark brainliest to whoever answers
Step-by-step explanation:
All Natural Number (1,2,3,4,5...) are integers
All Whole numbers (0,1,2,3,4...) are not natural numbers (1,2,3,4...)
All integers are rational numbers
All real numbers are not irrational numbers as real nimber contain both rational and irrational numbers hence it is false.
Hence statement 1 and statement 3 are true
Answer:
The answeris D
Step-by-step explanation:
All whole numbers are natural numbers; natural numbers are numbers we use for counting 1, 2, 3....and so on, so that makes them whole because thay have no fraction, or decimils.
A package of chocolates contains 3 caramel-
filled pieces, 3 raspberry-filled pieces and 4
fudge-filled pieces. What is the probability that
someone will reach in and select a caramel-filled
piece, keep it, and then select a raspberry-filled
piece?
Answer: 3 out of 19
Step-by-step explanation:
Answer:
P(caramel) = 3/10
P(raspberry) = 1/3
Step-by-step explanation:
Given:
Caramel chocolates = 3Raspberry chocolates = 3Fudge chocolates = 4⇒ Total chocolates = 3 + 3 + 4 = 10
[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
[tex]\sf \implies P(picking \ caramel \ chocolate) = \dfrac{3}{10}[/tex]
If the picked caramel chocolate is NOT replaced then:
Caramel chocolates = 3 - 1 = 2Raspberry chocolates = 3Fudge chocolates = 4Total chocolates = 10 - 1 = 9[tex]\sf \implies P(picking \ raspberry \ chocolate) = \dfrac39=\dfrac13[/tex]
Elizabeths school is selling 100 raffle tickets to raise money for a new gymnasium. The grand prize is a ten speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys all the tickets
The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.
What are the chances that Elizabeth will win the raffle?If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.
In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.
Find out more on likely events at https://brainly.com/question/7130419.
Need some help with this. It says to find x.
Answer:
x= 5
Step-by-step explanation:
Since RQ= PQ,
3x= 15
Divide both sides by 3:
x= 15 ÷3
[tex]\textcolor{red}{x = 5}[/tex]
[tex]\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}[/tex]
Let SP= x
RS= SP= x (given)
Let SQ= y
Applying Pythagoras' Theorem,
In triangle QRS
(RQ)²= (RS)² +(SQ)²
(RQ)²= x² +y²
[tex]RQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
In triangle QPS
(PQ)²= (SP)² +(SQ)²
(PQ)²= x² +y²
[tex]PQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
Thus, RQ= PQ.
Answer:
Step-by-step explanation:
3x = 15
3x/3 = 15/3
x = 5
3(5) = 15
The perimeter of the big wheel of a bicycle is 9 cm longer than the perimeter of the front wheel. On the road of 120 cm, the big wheel does 12 less rotations than the front one. Find the perimeters of each wheel.
PLEASE HELP I'VE BEEN STUCK ON THIS FOR WEEKS!!!
Answer:
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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.
Easy
Solution
verified
Verified by Toppr
Radius of the wheel =r=
2
60
=30 cm
Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
Distance covered in 1 revolution =
7
1320
cm
Distance covered in 140 revolutions =
7
1320
×140=26400 cm=264 m=
1000
264
km
Distance covered in one minute = Distance covered in 140 revolutions =
1000
264
km
Distance covered in 1 hour =
1000
264
×60=15.84 km
Hence, the speed with which the boy is cycling is 15.84km/hr.
Can someone not just tell me the answer but how to do it pls!!!
Answer:
B
Step-by-step explanation:
The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
x-intercept
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
y-intercept
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
Additional comment
Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answer:
2 eggs
Step-by-step explanation:
Use a proportion.
48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.
48/8 = 12/x
Reduce the left fraction.
6 = 12/x
Multiply both sides by x.
6x = 12
Divide both sides by 6.
x = 2
Answer: 2 eggs
what is the measurement of DA (parallelogram)
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4. Which statement is true for a preimage and its rotated image in the coordinate plane?
A.They are congruent.
B. They are exactly 4 units apart in the coordinate plane.
C. They were rotated around the origin since that is the only point in the plane you can use as the center of rotation.
D. They are two different sizes.
Answer:
C, they are congruent.
Step-by-step explanation:
Rotation only changes the position of the image, not the size. :)
Answer:
C. They were rotated around the origin since that is the only point in the plane you can use as the center of rotation.
explanation:
when you think about it and look at the other problems, they are all going around the center of the grid when rotated, specifically the key word is when rotated, when they are translated they go anywhere they want.
Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the second one chose action?
1/27
4/7
18/28
1/14
Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X Show
all work for full credit.
hurry please im running out of time
ill give brainliest
Answer:
Step-by-step explanation:
16 ticks, the pointer is on 12. there fore it is the second answer.
2 3/4 lb
NEED ASAP:
A photographer needs a frame for an 8 x 10 inch picture, such that the total area is 168 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?
Answer:
Step-by-step explanation:
the area of this rectangle is
(10 + 2x)(8 + 2x) = 168
80 + 20x + 16x + 4x² = 168
4x² + 36x = 88
Step-by-step explanation:
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is A.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the width of the frame be represented by x. Therefore, the length and the breadth of the photographer be represented by (10+2x) inches and (8+2x) inches. Therefore, the total area of the photograph can be written as,
Area = Length × Breadth
168 inches² = (10+2x) inches × (8+2x)inches
168 = (10+2x)(8+2x)
168 = 80 + 20x + 16x + 4x²
0 = 80 + 20x + 16x + 4x² - 168
0 = 4x² + 36x - 88
4x² + 36x - 88 = 0
4x² + 36x = 88
Hence, the following quadratic equations that would be used when solving the width of the frame is 4x² + 36x = 88.
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
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Find x 20 and 15 geometric mean
Answer: 17.320508075689
Step-by-step explanation:
How do you multiplying or dividing a fractions to obtain equivalent
what is -12 divided by 3
Answer:
-4
Step-by-step explanation:
if you divide a negative number by a positive number, you will get a negative number
Answer:
-4
Step-by-step explanation:
-(4×3)/3
by crossing both 3 out
-(4) remains
What is the shape of the cross section taken perpendicular to the base of a cylinder?
Circle
Rectangle
Ellipse
Triangle
Answer:
rectangle
Step-by-step explanation:
the question is asking what the shape of the cross section would be if it was perpendicular to the base. imagine a cylinder that you could slide a piece of paper into. what would be inside the cylinder? perpendicular to the base, it would be a rectangle. if it was parallel to the base, you'd then have a circle.
The ratio of acrobats to dancers was 13 to 15. If there were 247 acrobats, how many dancers were there?
Answer:
im terreb.le at math
Step-by-step explanation:
Answer:
285 dancers
Step-by-step explanation:
[tex]\frac{acrobats}{dancers}[/tex] = [tex]\frac{13}{15}[/tex] = [tex]\frac{247}{x}[/tex]
After cross-multiplication:
13x = ( 15 )( 247 )
13x = 3705
x = 285 dancers
X-4/4=8 Solve this variable on this equation
Answer:
x=9
Step-by-step explanation:
divide 4 by 4 to get 1
x-1=8
9-1=8
Hey there!
x - 4/4 = 8
x - 1 = 8
ADD 1 to BOTH SIDES
x - 1 + 1 = 8 + 1
CANCEL out: -1 + 1 because it give you 0
KEEP: 8 + 1 because it give you the x-value
NEW EQUATION: x = 8 + 1
SIMPLIFY IT!
x = 9
Therefore, your answer is: x = 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)