explain
...................
This is easy....
First, the frequency is how many times a number or certain value in a set of data appears...
So basically, its asking you for the number of times that a number in between 0 and 9 appears in the data set:
23, 15, 18, 11, 30, 32, 47, 5, 9, 10, 0, 34, 39, 49, 9
To make this easier, we can put them in numerical order.
0,5,9,9,10,11,15,18,23,30,32,34,39,47,49
Now, just single out the numbers before 10.
0,5,9,9
4 numbers, so its 4. The number of times a number between 0 and 9 appears in the data set is 4. That goes in the Frequency side...
Do you understand it better now?
Let me know if you need more help! :)
There are 165 concrete blocks available to make a retaining wall. The bottom 3
rows will all have the same number of blocks. The next six rows will each have 2
blocks fewer than the row below it. How many blocks are in each row?
Answer:
12
Step-by-step explanation:
The number of blocks in each row, from bottom to top, is: 23, 23, 23, 21, 19, 17, 15, 13, 11.
Step 1: Let's assume the number of blocks in each row of the bottom 3 rows is "x."
Step 2: The next six rows will each have 2 blocks fewer than the row below it. So, the number of blocks in each of these rows can be represented as:
x - 2, x - 4, x - 6, x - 8, x - 10, x - 12.
Step 3: Now, we can calculate the total number of blocks in all the rows.
For the bottom 3 rows, there are a total of 3 * x = 3x blocks.
For the next six rows, there are a total of (x - 2) + (x - 4) + (x - 6) + (x - 8) + (x - 10) + (x - 12) = 6x - 42 blocks.
Step 4: The total number of blocks in the wall is given as 165 blocks. So, we can set up an equation:
3x + 6x - 42 = 165
Step 5: Now, solve for x:
9x - 42 = 165
9x = 165 + 42
9x = 207
x = 207 / 9
x = 23
Step 6: Now that we have the value of x, we can find the number of blocks in each row:
The bottom 3 rows: x = 23 blocks each.
The next six rows:
x - 2 = 23 - 2
= 21 blocks,
x - 4 = 23 - 4
= 19 blocks,
x - 6 = 23 - 6
= 17 blocks,
x - 8 = 23 - 8
= 15 blocks,
x - 10 = 23 - 10
= 13 blocks,
x - 12 = 23 - 12
= 11 blocks.
So, the number of blocks in each row, from bottom to top, is: 23, 23, 23, 21, 19, 17, 15, 13, 11.
To know more about blocks:
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Consider the line – 2x - 5y= 2.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Slope of a perpendicular line:
Answer:
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP
Answer:
Step-by-step explanation:
the median is 26.5, but rounding that up the median will be 27. you can find this by determining the middle number of the data set.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS IF YOU DO THEN YOU GET REPORTED AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
Angle A=60
Step-by-step explanation:
If ABC is approximately equal to DEF, A=D.
So x+30=2x
x+30=2x -> 30=x
If A=x+30 and x=30 then 30+30=60.
How do the charges compare when two objects are charged through friction? The objects become oppositely charged and have equal amounts of charge. The objects become positively charged and have equal amounts of charge. The objects become negatively charged and have different amounts of charge. The objects become oppositely charged and have different amounts of charge.
Answer:
If both objects started with no charge, they would carry opposite charges of the same magnitude after rubbing.
Step-by-step explanation:
When one insulator is rubbed against another, some electrons on one insulator might travel to the surface of the other insulator. Electrons are neither lost nor created in this process- they are just moved from one surface to the other.
Let the two insulators in this question be denoted as [tex]A[/tex] and [tex]B[/tex]. Assume that both insulators were initially not charged.
Let [tex]{\rm e}[/tex] denote the fundamental charge. Each electron carries a negative charge of [tex](-1\; {\rm e})[/tex]. Assume that [tex]n[/tex] electrons are moved from insulator [tex]A\![/tex] to insulator [tex]B\![/tex]:
Insulator [tex]A\!\![/tex] would now have [tex]n\![/tex] fewer electrons than it used to do. Thus, the charge on insulator [tex]A\![/tex] would have been reduced by [tex]n \times (-1\; {\rm e})[/tex]. Since insulator [tex]A[/tex] started with no charge, it would now carry a charge of [tex]0 - n \times (-1 \; {\rm e}) = n\; {\rm e}[/tex].Insulator [tex]B[/tex] would now have [tex]n[/tex] more electrons than it used to do. The charge on insulator [tex]B\![/tex] would have increased by [tex]n \times (-1\; {\rm e})[/tex]. Since insulator [tex]B[/tex] started with no charge, it would now carry a charge of [tex]0 + n\times (-1\; {\rm e}) = (-n\; {\rm e})[/tex].In other words, the insulator that lost some electrons (which are negatively charged) now carries less negative charge and becomes positively charged. In contrast, the insulator that gained some electrons now carries more negatively charge becomes negatively charged.
The amount of electrons on the two objects combined stays unchanged. Thus, the amount of charge one insulator lost is equal to what the other insulator gained. Therefore, the sign of the charge on the two insulators would be different, but the magnitude (absolute value) of the charge would be equal.
Therefore, the two objects would be oppositely charged, with the magnitude of the charge on them being equal.
Find the area of the shaded region
Answer:
20.52 cm²
Step-by-step explanation:
[tex]\textsf{Area of a semicircle}=\sf \dfrac12\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
[tex]\textsf{Area of a triangle}=\sf \dfrac12bh \quad \textsf{(where b is the base and h is the height)}[/tex]
Given:
[tex]\pi[/tex] = 3.14r = 6 cmb = 12 cmh = 6 cm[tex]\begin{aligned}\implies \textsf{Shaded area} & =\sf \dfrac12\pi r^2-\sf \dfrac12bh\\ & = \sf \dfrac12 \cdot 3.14 \cdot 6^2-\dfrac12 \cdot 12 \cdot 6\\ & = \sf 56.52-36\\ ^& = \sf 20.52\:\:cm^2\end{aligned}[/tex]
Answer:
20.52cm^2
Step-by-step explanation:
from the picutre we can see that this is a semicircle with 2 right angle triangles inside it. to find the area we will solve for the semi circle then solve for the triangles and and subtract
circle area is [tex]\pi r^{2}[/tex] leaving the semicircle to be [tex]\frac{\pi r^{2} }{2}[/tex] for the semi circle
next we need the radius. since the diameter is given, we can solve for r by dividing it in two
12 ÷ 2 = 6
so the area of the semi circle is [tex]\frac{\pi 6^{2} }{2}[/tex]
this gives 18[tex]\pi[/tex]cm^2 if we simplify
next the triangles, since they are equal in size we can treat them as a square and stack them. this is because they have equal side lengths so when stacked they form a square:
base x height divided by 2 times 2 would be the normal process to find two equal triangles but you can see the division and multiplication cancel out
6x6= 36cm^2
finally subtracting the areas to find the shaded region and use 3.14 as pi
18[tex]\pi[/tex]cm^2 - 36cm^2 = 20.52cm^2
NO LINKS!!!
Movies generally lose 23% of it's audience for each week in the theatre. A movie STARTED with an audience of 196 people per viewing.
Answers:
a) The equation is [tex]y = 196(0.77)^x[/tex]
b) See image attachment below
c) See image attachment below
d) Week 10
=======================================================
Explanation:
a)
One common template for an exponential equation is [tex]y = a*b^x[/tex] where 'a' is the starting amount and b is the growth or decay factor.
a = 196 is the starting amount of people who saw the movie per showtime
b = 1-0.23 = 0.77 is the decay factor. If the view count goes down by 23%, then we keep the remaining 77%
Therefore we go from [tex]y = a*b^x[/tex] to [tex]y = 196(0.77)^x[/tex]
x = number of weeks
y = number of people, per viewing, who saw the movie for the particular week
--------------------
b)
Plug in x = 0 to find that y = 196
Plug in x = 1 to get y = 150.92 which rounds to y = 151 since we're talking about the number of people
Repeat for x = 2 all the way up to x = 9 to account for the first ten weeks. We stop at 9 instead of 10 because we started at x = 0.
The table is shown in the attachment below next to the graph.
I'm not sure why your teacher put a dollar sign over the second column of the table when it should be the number of people. It might be a typo. If they meant to do it, then there's missing information about ticket prices.
--------------------
c)
The graph is shown below. You can plot each (x,y) point on the same grid and then draw a curve through them. A much quicker way is to use software like GeoGebra (which is what I used) or Desmos or a pocket calculator. There are tons of many options to pick from. Feel free to choose your favorite.
The blue dashed segments on the graph visually help verify the result of part (d). We have y = 20 lead to an x value somewhere between x = 8 and x = 9. When submitting the graph to your teacher, you'll leave out the blue dashed segments.
--------------------
d)
Refer to the table we made in part (b). We have x = 9 lead to y = 19 approximately which is when y is below 20 people. Recall that x = 0 refers to week 1, so x = 9 refers to week 9+1 = 10. Week ten is where the view count drops below 20 people per showing.
If you wanted to use the graph in part (c), then you'd follow the blue dashed line mentioned earlier. Start at the y axis at y = 20. Trace the blue dashed line until reaching the curve. Then drop straight down to arrive somewhere between x = 8 and x = 9. Round up to x = 9. Then make the adjustment to go from x = 9 to week ten.
If you want an algebraic method, then follow the steps below.
Plug in y = 20 and solve for x. We'll need to involve logarithms to isolate the exponent.
[tex]y = 196(0.77)^x\\\\20 = 196(0.77)^x\\\\20/196 = (0.77)^x\\\\0.1020408 \approx (0.77)^x\\\\(0.77)^x \approx 0.1020408\\\\\text{Log}\left((0.77)^x\right) \approx \text{Log}(0.1020408) \\\\x*\text{Log}\left(0.77\right) \approx \text{Log}(0.1020408) \\\\x \approx \text{Log}(0.1020408)/\text{Log}\left(0.77\right) \\\\x \approx 8.7325564 \\\\[/tex]
This rounds up to x = 9 leading to week ten as the answer.
As confirmation
[tex]y = 196(0.77)^x = 196(0.77)^8 \approx 24.22 \approx 24\\\\y = 196(0.77)^x = 196(0.77)^9 \approx 18.65 \approx 19\\\\[/tex]
Answer:
Part (a)We can model this as an exponential equation.
General form of an exponential equation: [tex]y=ab^x[/tex]
where:
a is the initial valueb is growth factorx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
As the movie theatre lost 23% of its audience each week, the growth (decay) factor will be 100% - 23% = 77% → 0.77
Given:
a = 196b = 0.77x = times (in weeks)y = audience (in number of people)Substitute the given values into the formula to create the exponential equation:
[tex]y=196(0.77)^x[/tex]
Part (b)[tex]\begin{tabular}{| c | r |}\cline{1-2} \bf weeks & \bf audience \\\cline{1-2} 1 & 150.92\\\cline{1-2} 2 & 116.21\\\cline{1-2} 3 & 89.48\\\cline{1-2} 4 & 68.90\\\cline{1-2} 5 & 53.05\\\cline{1-2} 6 & 40.85\\\cline{1-2} 7 & 31.46\\\cline{1-2} 8 & 24.22\\\cline{1-2} 9 & 18.65\\\cline{1-2} 10 & 14.36\\\cline{1-2}\end{tabular}[/tex]
**all values rounded to 2 dp**
Part (c)see attached for graph
Part (d)Set y < 20 and solve for x:
[tex]\begin{aligned}196(0.77)^x & < 20\\\\(0.77)^x & < \dfrac{5}{40}\\\\\ln (0.77)^x & < \ln\left(\dfrac{5}{49}\right)\\\\x\ln (0.77) & < \ln\left(\dfrac{5}{49}\right)\\\\x & > \dfrac{\ln\left(\dfrac{5}{49}\right)}{\ln (0.77)}\\\\x & > 8.732555795\end{aligned}[/tex]
Therefore, the movie audience will fall below 20 people per viewing during the 9th week.
Which of the following ordered pairs is represented by a point located on the x-axis?
(-3, -3)
( - 6,6)
(5,0)
(0,5)
Answer:
(5,0)
Step-by-step explanation:
The # 5 is on the x axis and there is no value for the y since it is 0. This means that this ordered pair will be located on the x-axis.
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times
you will roll a five?
Please help me answer this
Answer:
option A is the correct answer
solve for x :)
i’m not sure how to solve this it’s from geometry lesson 10.2
Step-by-step explanation:
Angle of a circle = 360
x + 90 + 84 + 16 = 360
x + 190 = 360
x = 170°
a rectangular prism has length x, width x/2 and height x/3. Which expression represents the volume of the prism?
Answer:
x^3 / 6
Step-by-step explanation:
Multiply the three dimensions to get the volume
x * x/2 * x/3 =
The expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that, the length is x, width x/2, and height is x/3.
The volume of the rectangular prism is the product of the length, width, and height.
V= length × width × height
V=x × x/2 × x/3
Apply the multiplication operation in the fraction
Simply multiply the numerators to obtain the product's numerator and the denominators to obtain the product's denominator in order to multiply two fractions.
V=x³/6
Thus, the expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.
Learn more about the expression here:
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A bag has 1 red marble, 4 orange marbles, 2 green marbles, 6 blue
4
marbles, and 5 black marbles. You randomly pull a marble from the
bag, put it back, and then pull out another one.
What is the probability of not getting a black and then not getting a
green? Write your answer as a fraction.
Step-by-step explanation:
so first you must calculate the total amount of marbles there are, that being addition : 1+4+2+6+4+5 = 24 in total. now you want to make that into a fraction, 24/24 marbles, once again all together, so the probability of not getting a black marble is 5/24 and probability of not getting a green is 2/24.
True or false? Based only on the given information, it is guaranteed that
AD = BD
A
D
Given: ADI AC
DBI CB
ACE BC
B
O A. True
B. False
Answer:
True
Step-by-step explanation:
The triangles are both right triangles, meaning they can be used with pythagorean theorem. If the triangles CAD and CBD share the same "hypotenuse" (CD), and they have a pair of congruent sides, they other pair of sides must be able to fit into the pythagorean theorem/
How much sugar is in 200 grams of 5% sugar syrup
Answer:
10 grams
Step-by-step explanation:
200 x 5 = 1000
If we move the decimal over two places left we get :
10.00
That means that there are 10 grams of sugar in 200 grams of 5% sugar syrup
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Have a nice day.
Solve the equation for x.
X-7 = 7
Enter the number that belongs in the green box.
x = [?]
Answer:
14
Step-by-step explanation:
1. Add 7 to both sides
2. This leaves us with x=14
100 POINTS!!! Please help ^^ it’s urgent!!
Answer:
x=1 y=4
Step-by-step explanation:
5x+y=9
10x-7y=-18
-35x-7y=-63
-45x=-45
x=1
y=4
(10)-(28)=18
Brainliest would be appreciated
Answer:
x=1 y=4
Step-by-step explanation:
a
Question 2 of 21
In Accra, 30% of workers owns a car. In a sample of 10 workers, what is the probability that exactly three workers owns a car?
O A. 0.267
OB. 0.65
O C. 0.48
O D.0.73
Using the binomial distribution, it is found that the probability that exactly three workers owns a car is given by:
A. 0.267.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
30% of workers owns a car, hence p = 0.3.A sample of 10 workers is taken, hence n = 10.The probability that exactly three workers owns a car is given by P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.3)^{3}.(0.7)^{7} = 0.267[/tex]
Hence option A is correct.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
HELP PLEASEEEEEEEEEEEe
Answer:X + (2 and 1/2) - 3/4 = 5 and 1/4
X + 2 and 2/4 - 3/4 = 5 and 1/4 <--- common denominator
X + 10/4 - 3/4 = 21/4
X + 7/4 = 21/4
X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2
The distance between second base and third base on a regulation baseball field is 30 yards. Choose the word and number to complete the sentence correctly. To convert 30 yards to feet
Answer:
To convert 30 yards to feet, multiply by 3.
Step-by-step explanation:
We have to find out how many feet is in 1 yard and we have to multiply by 3 to find the answer. So the answer is multiply by 3
12 times a number, x, minus 5 is ninety-one
x=8
Solution:First, multiply 12 times x, like so:12xNow, subtract 5:12x-5This expression is equivalent to 91:12x-5=91Now, add 5 to both sides:12x=91+512x+96x=8Hope it helps.
Do comment if you have any query.
[tex]12x-5 = 91\\\\\implies 12x = 91+5\\\\\implies 12x = 96 \\\\\implies x= \dfrac{96}{12}\\\\\implies x = 8[/tex]
A triangle has one angle that measures 56° and one angle that measures 63º.
The measure of the triangle's third angle is degrees.
The solution is
Pls help easy math 2 pics
Answer:
in the problem 17 the answer is 30 becase you times 6 and 6 and you git 30.problem 18 you do the same thing
Step-by-step explanation:
hope this helps if not let me now
A $299.99 grill was discounted 25% for a labor day sale. When the sale ended, the sale price increased 25%. How much is the grill now?
Its a multiple choice, HELP IM BEGGING
Answer:
B)
E)
Step-by-step explanation:
translation Dilation
M(x,y) ——————>M”(x”,y”)=(x+5,y+8) ——————> M’(x’,y’)=(3x”,3y”)
S(-5,-8) ——————>S”(x”,y”)=(0,0) ——————> S’(x’,y’)=(0,0)
R(-7,-6) ——————>R”(x”,y”)=(-2,2) ——————> R’(x’,y’)=(-6,6)
Q(-8,-10) ——————>Q”(x”,y”)=(-3,-2) ——————> Q’(x’,y’)=(-9,-6)
One angle of a rhombus measures 110, and the shorter diagonal is 4 inches long. How long is the side of the rhombus?
side of rhombus: 2.44 inch
Use the sine rule:
[tex]\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}[/tex]
============= Let the side be "b"
[tex]\rightarrow \sf \dfrac{sin(110)}{4} = \dfrac{sin(35)}{b}[/tex]
[tex]\rightarrow \sf b = \dfrac{sin(35)*4}{sin(110)}[/tex]
[tex]\rightarrow \sf b = 2.441549178[/tex]
[tex]\rightarrow \sf b =2.44 \ in[/tex]
Answer:
3.5 in (nearest tenth)
Step-by-step explanation:
Properties of a rhombus:
Quadrilateral (four sides & four interior angles)Parallelogram (opposite sides are parallel)All sides are equal in lengthOpposite angles are equal in measureDiagonals bisect each other at right anglesInterior angles sum to 360°Adjacent angles are supplementary (sum to 180°)Diagonals bisect interior anglesTherefore, a rhombus is made up of 4 congruent right triangles.
** see attached diagram **
To find the side length of the rhombus, we need to calculate the hypotenuse of the right triangle.
As the shorter diagonal is 4 in, the base of the right triangle is 2 in
The angles that measure 110° are the angles by the shorter diagonal. Therefore, the base angle of the right triangle is 55°
Using cos trig ratio:
[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 55°A = 2H = x[tex]\implies \sf \cos(55^{\circ})=\dfrac{2}{x}[/tex]
[tex]\implies \sf x=\dfrac{2}{\cos(55^{\circ})}[/tex]
[tex]\implies \sf x=3.486893591...[/tex]
Therefore, the side of the rhombus is 3.5 in (nearest tenth)
A solid box with height 90cm, width 70cm and length 90cm needs to be painted.
The paint costs £0.02 per cm2.
How much will it cost to paint the outside of the box?
Answer:
£828
Step-by-step explanation:
The first step to solve this problem is to find the surface area of the solid box. The formula for surface area for a rectangular prism is [tex]2(wl+hl+hw)[/tex]where w is width, l is length, and h is height. Plugging values in gives [tex]2(90*90+70*90+70*90)=41400[/tex] cm^2.
Because each cm^2 of paint costs £0.02, a ratio can be created.
[tex]\frac{1}{0.02} =\frac{41400}{x}[/tex]
Cross multiplying gives: [tex]x=828[/tex], so to paint the whole outside of the box, it would cost £828.
order of operation 3×5+4×2-3
[tex]3\times 5 +4 \times 2- 3\\\\=15+8-3\\\\=12+8\\\\=20[/tex]
Express 0.10190 as a fraction.
Can U Guys Tell Me The Angle And Type?
Answer:
The angle is 90°, and the type of angle is a right angle.
Step-by-step explanation:
That is a right angle, the little box and the straight lines indicate that is one. A right angle will always be 90°.