Answer:
Mode = none, Median = 2.5, Mean= 2.5
Step-by-step explanation:
Hope this helps! :)
Step-by-step explanation:
the mode is the data item that occurres the most often.
but in 4, 5, 0, 2, 3, 1 every number appears only once. so, the mode is 0, 1, 2, 3, 4, 5 (as special case this average number can have more than one value - like in our case here).
the median is the value in the data set that lies directly in the middle between the other values (half of them are higher, the other half is lower).
if our data set has an even number of data points, or there is no unique middle value for other reasons, then the median is the mean value of the 2 middle values.
in our case 2 and 3 are the 2 middle values, so the median is (2+3)/2 = 2.5
the mean value is directly the average value across the whole data set : the sum of all values divided by the number of values.
(0+1+2+3+4+5)/6 = 15/6 = 2.5
the range is the difference between the highest and the lowest value in the data set : 5 - 0 = 0
What is x in this equation?
Answer:
x = 6.08 units
Step-by-step explanation:
For a right triangle
sin = opp leg / hyp
for this triangle sin 34 = 3.4 / x re-arrange to
x = 3.4 / sin34 = 3.4 / .5591 = 6.08
An amount of 47,000 is borrowed for 12 years at 8.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$121,683.79
Step-by-step explanation:
A= P(1+ r)^t
A= Amount, P = Principal, r = Rate (decimal form), t= time
A = 47000(1+0.0825)^12
A = 47000(1.0825)^12
A = 47000(2.589016751)
A = 121683.7873
Rounded Answer = $121,683.79
(If there is meant to be no cents then $121,684). Good luck :)
Write an eqaution in slope-intercwpt form for the line with slope -5 and y-intercept 9
Answer:
y = -5x + 9
Step-by-step explanation:
Slope-intercept form of an equation is:
y = mx + b
Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!
Fill in the slope for the m. Fill in the y-intercept for the b.
y = -5x + 9
25 Points! Please tell me how to answer this.
Answer: ....
Ok done. Thank to me :>
What is 4,321,109,432 rounded to the nearest billion?
Answer:
I think 4000000000
Answer: 4,321,109,432 rounded to the nearest billion is 4,000,000,000
Step-by-step explanation:
First, you find the billions place which is right here:
4,321,109,432
Look to the number to the right of it. Is it greater or less than 5? Since it's less, you round down to 0, leaving a 4 and 3 sets of 3 zeroes.
A bag contains 15 beads that are either red or yellow.
The probability of randomly removing a red bead is 20%.
What is the probability of randomly removing a yellow bead?
The probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have the probability P(R) of randomly removing a red bead is 20%.
Let's suppose the number of red beads is n(R)
[tex]\rm P(R) = 20\% \Rightarrow 0.20\\\\\rm \frac{n(R)}{15} = 0.20[/tex]
n(R) = 15×0.20
n(R) = 3
Number of yellow beads = 15 -3 = 12
The probability randomly removing a yellow bead:
[tex]=\rm \frac{12}{15}[/tex]
= 0.8 or 80%
Thus, the probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
A boat is heading towards a lighthouse, where Meena is watching from a vertical
distance of 120 feet above the water. Meena measures an angle of depression to the
boat at point A to be 18º. At some later time, Meena takes another measurement and
finds the angle of depression to the boat (now at point B) to be 44º. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.
Answer:
245 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right triangle in which Meena's height is the side opposite the angle of depression, and the distance to the boat is the side adjacent to the angle of depression. The mnemonic SOH CAH TOA reminds us of the relation ...
Tan = Oppsite/Adjacent
__
The more useful trig function for this problem is the inverse of the tangent function, the cotangent. Using that function, we have ...
cot(angle) = (distance to boat)/(Meena's height)
Then the distance to the boat is ...
distance to boat = (Meena's height)×cot(angle)
The change in distance from A to B is then ...
A -B = (120 ft)(cot(18°) -cot(44°))
= (120 ft)(3.0777 -1.0355) ≈ 245.06 ft
The distance from point A to point B is about 245 feet.
The product of 4 and 3 is raised to the 5th
power. Which expression shows this?
A (4 X 3) 5
B(4/3)5
C 4 X 35
D 4/35
What is the probability that someone doesn’t eat breakfast?
1/2
hope it helps..!!!!!
Paul has a car that is 8 years old and has 126,000 miles on it. Even though he couldn't get more than $2,000 if he sold it, he still pays $350 per year for collision insurance to pay him up to the value of his car if it were damaged. If Paul decides to drop his collision insurance coverage, how is he handling that risk? A. Reducing it B. Transferring it C. Assuming it D. Avoiding it
Answer:
Assuming
Step-by-step explanation:
If he has a wreck he will ASSUME the risk....his loss
Find the slope of the line passing through the points , 2−6 and , −9−6
I will assume that we are trying to find the slope between (2,-6) and (-9,-6)
The slope's equation ⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
Let's set the variables:
(x1, y1) --> (2, -6)
(x2, y2) --> (-9, -6)
Now let's plug them in:
[tex]Slope = \frac{-6--6}{-9-2} =\frac{0}{-11} =0[/tex]
Thus the slope of the line is 0.
Hope that helps!
Noah writes the equation 3(x+7)=57 to represent the situation. Use the distributive property to write this equation another way.
Answer:
3x+21=57
Step-by-step explanation:
When we use distributive property we do
[tex]3*x[/tex] and [tex]3*7[/tex] which will like this when rewritten [tex]3x+21=57[/tex]
Check answer:
[tex]3x+21=57\\-21=-21\\3x=36[/tex] [tex]\frac{3x}{3} =\frac{36}{3}[/tex]
x=12 3(12)+21=57
36+21=57
Why is it wrong to draw y=ln(2x-5) this way?
well because he did not do it
Notice how
2x-5 = 2x - 2*2.5 = 2(x-2.5)
This means we can replace x with x-2.5 in the second step, in the "wrong way" column.
So,
y = ln(2x)
y = ln( 2(x-2.5) )
y = ln( 2x - 2*2.5 )
y = ln( 2x - 5 )
In the second step, the x-2.5 tells the reader to shift the curve 2.5 units to the right. Therefore, the 1/2 = 0.5 would shift to 0.5+2.5 = 3 as indicated by the correct graph.
Which description most accurately describes the motions for the calculation -5+ (-37)?
The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
The expression -5+ (-37) can be solved using a number line. The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.
Find out more on equation at: https://brainly.com/question/2972832
Answer:
small movement to the left followed by a large movement to the left.
Step-by-step explanation:
I hate math. Can someone pls help me?
Answer:
∠s = 158
Step-by-step explanation:
Since lines a and b are parallel,
∠s and 158 are alternate exterior angles.
Alternate exterior angles are equal if two lines are parallel.
So,
∠s = 158
Answer: 22°.
Step-by-step explanation: We're given the angle 158°, which is all we need. Angle u and 158°, have to add up to 180°. 180° - 158° = 22°, which is the angle measure of u. You're probably wondering how this will help us. The answer to that is it gives us the measurement of angle t, which is 158°. Now, we'll do the same thing we did with angle u, which was to make angle u add up with 158° to make 180°. We'll apply this to angle t and angle s. We already know that angle t is 158°, so angle s has to be 22° in order to add up to 180°. Therefore, your answer is 22° for angle s.
Let me know if this is right! :)
Predicted distance traveled in 10 minutes: 3 km
(b) Lena is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
4
8
9
Cost (in dollars)
36
64
72
O The cost for each person is not always the same.
O The cost for each person appears to be the same.
Predicted number in group for a cost of $80:
Explanation
Check
Answer:
Cost for person is not always the same
For 80 dollars predicted would be 10 people
Step-by-step explanation:
4 people 36 dollars = 9 each
8 people 64 dollars = 8 each
9 people 72 dollars = 8 each seems to flatten at 8 dollars each
NEED HELP ASAP!!!!
A) 12 sq. cm.
B) 6 sq. cm.
C) 12 cm
D) 6 cm
Answer:
its B- 6 sq. cm.
Step-by-step explanation:
1/2 times base times height
1/2 x 4 x 3
6
Answer:
The answer is given below
Step-by-step explanation:
[tex]area = \frac{1}{2} \times base \times perpendicular[/tex]
[tex]area = \frac{1}{2} \times 3 \times 4[/tex]
Area = 1/2 * 12
Area = 6
Henry has 1.20 pounds of cat food. He uses 0.15 pound of cat food to feed one cat. How many cats can Henry feed with the cat food he has?
Katie has these 2 boxes shaped likerectangular prísms. How do the volumes of the two bones compare?
A. Box 2 and Box 1 have the same volume.
B. Box 2 has 3 times the volume of Box1
C. Box2 has 9 times the volume of Box 1.
cm
D. Box 2 has 27 times the volume of Box1.
2 cm
1.5 cm
1.5cm
25
25 am
Box1
Box 2
Answer:
Box 2 has 3 times the volume of Box 1....
Which of the following best describes a circle?
A. The set of all points in a plane at a given distance from a given
point
O B. The set of all points in a plane that are equidistant from two points
C. The set of all points in a plane that are equidistant from a given
point and a given line
D. The set of all points smaller than or equal to a given distance from
a given point
is planetarium showing programs about the night sky has a shape of a hemisphere. The diameter of the planetarium is 50 ft what is the volume to the nearest cubic foot of the planetarium use 3.14 for pi
Answer:
32,708.3 cu. ft
Step-by-step explanation:
First we find the volume of a sphere with the same dimensions
is the formula for the volume of a sphere
substitute the radius with 25 because radius is half the diameter and use 3.14 for pie. The answer to that formula is 65,416.6
Since you're finding the volume of a hemisphere, divide the volume of the sphere in half
65,416.6/2= 32,708.3
Complete the following sentence.
13 cm
8 cm
8 cm
The composite figure is made up of a rectangular prism and a
Answer:
Triangular prism
Step-by-step explanation:
There is one rectangular prism at the bottom and one triangular prism at the top.
Answer:
It is a square pyramid
Step-by-step explanation:
Help me please permutations and computations?
Answer:
i think it's 14c5 sincce theres 5 colors to choose from .
what is approximate distance between (-1, 3) and (2, -4)
Answer:
d= 7.62
Step-by-step explanation:
(-1,3)(2,-4)
the formula of distance is-
[tex]d=\sqrt{((x_{2}-x_{1})^2 + (y_{2}-y_{1})^2)} \\\\d=\sqrt{(2+1)^2+(-4-3)^2}\\ d=7.62[/tex]
Elizabeth bought a cheese pizza. It was served on a metal tray with a diameter of 22 centimeters. What is the tray's area?
The Area of the tray ≈380 cm
Solution:We are given the diameter of the tray, which is equivalent to 22 cm.We are asked to find the area of the tray.Remember the formula:Area of a circle = πr²Whereπ -> pi (3.14...)r -> radiusNotice that we aren't given the radius. We're given the diameter only.No reason to panic. We can easily find the radius by dividing the diameter by 2.The radius is equal to 11 cm.Now, plug the values into the formula:A=π(11)²A=121πA≈380 cmHope it helps.
Do comment if you have any query.
What is the ratio of the radius to the circumference of any circle, using 3.14 for pi?
Answer:
1 : 6.28Step-by-step explanation:
The circumference formula is
C = 2πr orC = 2(3.14)r = 6.28rThe ratio of the radius to the circumference is
r/C = 1/6.28or
r : C = 1 : 6.28r : C = 1 : 6.28
Formula's:
circumference of any circle: 2πr
radius: r
Their ratio:
radius : circumference
r : 2πr
r : 2(3.14)r
1 : 6.28
3x⁵. 2xy - x²y. 4x⁴ simplified
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:(3 {x}^{5} \times 2xy) - ( {x}^{2} y \times 4 {x}^{4} )[/tex]
[tex]\qquad \tt \dashrightarrow \:6 {x}^{6} y - 4 {x}^{6} y[/tex]
[tex]\qquad \tt \dashrightarrow \:2 {x}^{6} y[/tex]
= (3x^5× 2xy) — (x^2y × 4x^4)
= 6x^6y - 4x^6y
= 2x^6y
∣_7x+4∣=<18 absolute value
Step-by-step explanation:
|7x+4|≤18
7x+4≤ 18. 7x+4≥-18
x≤2. x≥-22/7
2≤x≤-22/7
Write each quadratic equation in general form.
I need help direly
Answer:
9. 3x² +x -2y +5 = 0
10. 4x² +x -y +4 = 0
11. 9x² -6x -3y -12 = 0
Step-by-step explanation:
"General form" of a polynomial equation is ...
f(x, y) = 0
where the terms are arranged in lexicographical order and decreasing degree. That is, for terms of the same degree, x-terms are listed before y-terms, and xy terms are listed before y-only terms.
The leading coefficient can be positive or negative, your choice. (Positive is generally preferred.) For linear equations, "standard form" has the coefficients mutually prime. Making that happen for a general form polynomial would be your choice.
__
9.The highest-degree term is 3x². If we keep the leading coefficient positive, we can get general form by subtracting the expression on the left side of the equal sign.
3x² +x -2y +5 = 0
__
10.Subtracting the right side gives ...
4x² +x -y +4 = 0
__
11.Subtracting the left side gives ...
9x² -6x -3y -12 = 0
or
3x² -2x -y -4 = 0 . . . . . . remove a common factor of 3
Help me with this question about vectors.
Answer:
parallelogram
Step-by-step explanation:
sr/pq=sp/rq
ab/dc=ad/bc
Answer:
Proven.
Step-by-step explanation:
So, fasten your seatbelts, we're about to go on a long ride(◠‿・)—☆
» In a parallelogram, opposite sides are equal in length.
This can be represented (in the vector way) by
'QR = '-SP = 'PS and 'RS = 'QS (let “'” represent a vector)
'QR + 'SP= 0 and 'RS-'QS = 0
Note the signs. The signs are determined by the arrows in the diagram. [A reminder: If you walk from a point A to a point B, your displacement vector is 'AB. If you walk back, that is, from B to A; your displacement vector is 'BA which is also equal to '-AB.]
This means: to prove that PQRS is a parallelogram, we must prove that
'QR + 'SP= 0 and/or 'RS-'QS = 0.
In this solution, we will only work on the first equation.
Permit me to remove this ' sign.
QR = QC+CR ...1
QR= QB+BA+AD+DR...2
ADD 1 TO 2
2QR= QC+CR+QB+BA+AD+DR
[LOOK CLOSELY, QC+QB=0 ; CR+DR=0. This is because BQ+QC = BC
BUT, BQ=QC= (BC)/2
QC-BQ= 0
AND, -BQ= QB
QC+QB= 0 ;)]
2QR= BA+AD...3
★
SP = SA+AP...4
SP= SD+DC+CB+BP...5
ADD 4 TO 5
2SP = SA+AP+SD+DC+CB+BP
[AGAIN, SA+ SD = 0 ; AP+ BP = 0]
2SP= DC+CB...6
3+6
2QR+2SP= BA+AD+DC+CB
[ BA+AD+DC+CB, IN A SIMPLE WAY, MEANS:
you start from B, and move to A (BA); from A to D (AD); from D to C (DC); and from C to B (CB). Therefore, you have gone from B to B (from your starting point and back). Hence, your total DISPLACEMENT is zero (you haven't changed your position).
2(QR+SP) = 0
'QR+'SP= 0
PROVEN
You can work out the other equation, but it is evident that PQRS is a parallelogram.