The median of the given data is 4.5
How to find the median of data?The median of data are values in the middle after rearrangement. Since we are not given a set of data, let us use the following data
2, 3, 5, 9, 4, 5, 3, 11
Arrange the given data
2, 3, 3, 4, 5, 5, 9, 11
From the arranged data , 4 and 5 are at the middle. Take the average
Average =(4+5)/2
Average = 9/2 = 4.5
Hence the median of the given data is 4.5
Learn more on median here: https://brainly.com/question/26151333
(Easy) Are these ratios equivalent?
23 staff members to 1 camper
35 staff members to 2 campers
Answer:
no
Step-by-step explanation:
2 does not go into 35 but one goes into anything
hope this helps :)
Fill in the blank.
The light from a lamp casts a shadow of a man standing 10 feet away from
the lamppost. The shadow is 5 feet long. The angle of elevation from the tip
of the shadow to the lamp is 50°. To the nearest foot, the lamppost is _________
feet tall.
Answer: x ≈ 18 ft
Step-by-step explanation:
We will use our trig knowledge to solve this.
The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.
We can set up a simple trig equation of: tan(50) = x/15
x being the height of the lamppost.
Now we solve.
tan(50) = 1.1918
1.1918 *15 = x
x = 17.876
Now round to the nearest foot.
x ≈ 18 ft
Find the surface area of the cylinder in terms of pi
Answer:
the answer is A≈1639.91
Answer:
A≈1639.91
Step-by-step explanation:
Shape: Cylinder
Solved for surface area
Radius: 9
Height: 20
Total surface area formula: =2πrh+2πr2
R is the radius
H is the height
So for this question H is 20 and R is 9in
Answer: A≈1639.91
Hope this helps.
PLS ANSWER!!!!! ILL GIVE BRAINLIEST!!!
If the function m(x) has the point (1, 9) on its graph name a point that would be on the function 17n(x) + 2.
Answer: if we want to find a point of 17*m(x) + 2, one is (1, 155)
Step-by-step explanation:
I guess you want to know a point in the function
h(x) = 17*m(x) + 2
we know that m(1) = 9 (because m(x) has the point (1, 9) in it's graph)
then h(1) = 17*m(1) + 2 = 17*9 + 2 = 155
so this function has the point (1, 155)
find the measure of angle B. Show work please
Answer:
c. 54.6°
Step-by-step explanation:
The Law of Cosines can be used to find the first of the unknown angles in a triangle with only three side lengths given.
b² = a² +c² -2ac·cos(B)
Solving for B, we have ...
2ac·cos(B) = a² +c² -b²
B = arccos((a² +c² -b²)/(2ac)) = arccos((10.4² +21.9² -18²)/(2(10.4)(21.9)))
B = arccos(0.579053) ≈ 54.6° . . . . . matches choice C
Answer:
C 54.6°
Step-by-step explanation:
Using cosine law:
18² = 10.4² + 21.9² - 2(10.4)(21.9)cosB
cosB = 2029/3504
B =54.6160711
can someone please help me answer this
Answer:
Step-by-step explanation:
5) Perimeter = 15 + 21 + 15 + 21 = 72 cm
6) diameter = 12 cm
Radius r = 12/2 = 6 cm
Circumference = 2πr
= 2 * 3.14 * 6
= 37.68 cm
8) Distance around the track = 2 *circumference of semi circle + 80 + 80
= circumference of circle + 80 + 80
= 2 * 3.14 * 10 + 80 +80
= 62.8 +80 +80
= 222.8 cm
Simplify. Remove all perfect square root of, 98, end square root, equals
Answer:
[tex]7\sqrt{2}[/tex]
Step-by-step explanation:
98=49x2
7x7=49
98=[tex]7\sqrt{2}[/tex]
The whole is 1,000,000 50,000 is what percent of that
532−308532, minus, 308 is the same as
- ~ 300− 300minus, space, 300.
532-308 is the same as 524-300
Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the water is modeled by the equation d(t) = −16t2+96t + 112, where t represents time in seconds.
Answer: a. 112 feet, b= 3 seconds, c= 256 feet, d = 6 seconds
Step-by-step explanation:
Here is the complete question:
Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the water is modeled by the equation d(t) = −16t2+96t + 112, where t represents time in seconds.
Find the actual value(s) now to each question. Use the solution from the previous question to assist you with what you are actual solving for.
(a) From what height was the quarter tossed?
The quarter was tossed at 112 feet.
(b) How long does it take the quarter to reach its maximum height?
It will take ________ seconds for the quarter to reach its maximum height.
(c) What is the maximum height of the quarter?
The maximum height of the quarter is ________ feet.
(d) How much time does it take for the quarter to hit the water?
It will take ______ seconds for the quarter to hit the water.
a. Since the function is
d(t) = −16t² + 96t + 112,
The coin is tossed at 112 feet. This is because it is the the initial value of the function. It is the constant term and does not depend on any other variable.
b. To calculate the maximum height, we have to find vertex of the function, that has coordinates of h,k and,
h = -b/2a and k = f(h).
From the question, we are aware that,
a = -16, b = 96, c = 112
Using the values, the vertex will be:
h = -b/2a
= -96/(2 × -16)
= -96/-32
= 3
k = f(3)
= 16t² + 96t + 112
= -16(3)² + 96(3) + 112
= -144 + 288 + 112
= 256
The maximum height is therefore 256 feet, and time needed to reach the height will be 3 seconds.
c. The maximum height has been calculated and it is 256 feet.
d. The time it take for the quarter to hit the water will be:
= 3 seconds × 2 = 6 seconds
Since the maximum height took 3 seconds, it would take another 3 seconds to hit the water. This makes it 6 seconds
Is ABC~DEF? If /so, identify the similarity postulate or the theorem that applies, A. similar- AA B. similar-SSS C. similar- SAS D. cannot be determined
Answer: Similar - AA
Just took the quiz, Its Similar AA not sure why just trust me homie
The two triangles are similar triangles by AA similarity theorem (Option A).
What is the Angle-angle Similarity Theorem (AA)?The AA similarity theorem proves that if two triangles have two pairs of angles that are congruent, then they are similar triangles.
The two triangles shown in the figure have two pairs of corresponding angles that are congruent to each other, therefore, they are similar triangles by AA similarity theorem (Option A).
Learn more about AA similarity theorem on:
https://brainly.com/question/2166570
Find the volume of a cone with a radius of 9 inches and a height of 12 inches.
Answer:
1017.88 in^3 to the nearest hundredth.
Step-by-step explanation:
Volume = 1/3 * π r^2 h
= 1/3 * π * 9^2 * 12
= 1017.88 in^3.
I have 27 apples to make a fruit salad for picnics I divide the apples equally among three bowls then I cut each apple into 8 pieces how many pieces are in each Bowl?
Answer:
72
Step-by-step explanation:
you start with 27
27 divided by three is 9
9 apples cut into 8 pieces each would be
72
A large box P containing 15 cans of biscuits weighs 23 kg and weighs 500g when empty. A box containing 8 cans of the same biscuits Q weighs 12.3kg. Box Q What is the mass when the box is empty?
Answer:
300 g
Step-by-step explanation:
weight of a can of biscuits= (23- 0.5)/15= 1.5 kg
weight of 8 cans= 1.5 * 8= 12 kg
mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g
Answer:
300 g or 0.3 kg
Step-by-step explanation:
23 kg - 500g = 22.5 kg
each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg
if the box Q weighs 12.3kg when there's 8 box of biscuits then
8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight
What are the coordinates of the point on the directed line segment from (3, 3) to (7,−5) that partitions the segment into a ratio of 5 to 3
Answer:
The coordinates of the point is (5.5, -2)
Step-by-step explanation:
Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3
Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;
Let’s call the point dividing the line in the given ratio z.
The coordinates of Z is;
{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}
In this question (x1,y1) = (3,3)
While (x2,y2) = (7,-5)
while a:b = 5:3
Substituting these values into the coordinate equation for point z, we have ;
{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}
= {44/8 , -16/8} = {5.5, -2}
Helpppppppppppppp ASAP helppp
Answer:
You can use a calculator to find all the tan, sin, cos values! Simply enter the number, for example, 52, then press the tan button! For question d, you are finding what number that decimal is the tangent of. Press the 2nd function on your calculator, and you can see that -1 beside the tan. Enter the decimal then use that button to find the reverse tangent.
tan52 = 1.2799
sin19 = 0.3256
cos34 = 0.8290
tan-1(0.9876) = 44.6426
To solve the conveyor belt problem, you'll have to use the sine of 15. (remember, sine = opposite/hypotenuse). Set up an equation:
sin15 = ?/12m
Use a calculator to find sin15, then you can solve it like algebra.
sin15 = ?/12m
sin15*12m = ?
0.2588*12m = ?
3.1056m = ?
Hope this helped :)
A cone with radius 333 units is shown below. Its volume is 575757 cubic units. Find the height of the cone. Use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.
Answer: 6.05 units
Step-by-step explanation:
Correct question is:
A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.
Hi, to answer this question we have to apply the next formula:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
57 = 1/3x 3.14 x (3)^2 (h)
Solving for h
57 = 1/3 x 3.14 x 9 (h)
57 =9.42h
57/9.42 =h
h= 6.05 units
Feel free to ask for more if needed or if you did not understand something.
Answer:
6.05 units
Step-by-step explanation:
Which expression has a positive value?
-4+(-5)(-6)+(-3)
8/10- (2)
3(-84-8) +28
-21-5)(-3) -10
Answer:
fourth one = 780
Step-by-step explanation:
-4-30-3 =-37
8/10-2 = -6/5
3(-92)+28 = 248
-26* -30 = 780
Which of the following is the product of the rational expressions shown below? 3/x+2 ⋅ 7/2x
Answer:
[tex]\frac{21}{2x^{2} +4x}[/tex]
Step-by-step explanation:
[tex]\frac{3}{x+2} \times \frac{7}{2x}[/tex]
[tex]\frac{7 \times 3}{2x(x+2)}[/tex]
[tex]=\frac{21}{2x^{2} +4x}[/tex]
Help me find these angles ASAP
Answer:
49°
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
let x be the other exterior angle then sum and equate to 360
37 + 84 + 49 + 38 + 35 + 68 + x = 360
311 + x = 360 ( subtract 311 from both sides )
x = 49
The other exterior angle = 49°
log base3 27= 3 write in exponential form pls
Answer: 3^3 = 27
Step-by-step explanation:
The formula is:
[tex]log_{3} 27=3[/tex] is just [tex]a^c=b\\a=logbase\\b=number\\c=answer\\\\3^3=27[/tex]
Answer:
[tex] {3}^{3} = 27 \\ [/tex]
Step-by-step explanation:
[tex] log_{a}(c) = b[/tex]
[tex] log_{3}(27) = 3[/tex]
so,
[tex] {3}^{3} = 27[/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
The common ratio of a geometric series is \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction and the sum of the first 444 terms is 170170170.
Answer:
The common ratio of a geometric series is \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170
The first term is 128
Step-by-step explanation:
The common ratio of the geometric series is given as:
[tex]r = \frac{1}{4}[/tex]
The sum of the first 4 term is 170.
The sum of first n terms of a geometric sequence is given b;
[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]
common ratio, n=4 and equate to 170.
[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]
[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4} \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2} \\\\\frac{1}{256} a_1 = \frac{1}{2} \\\\ a_1 = \frac{1}{2} \times 256\\\\a_1 = \frac{1}{2} \times 256 \\\\= 128[/tex]
Answer:
The first term is 128
When a number is decreased by 25%, the result is 22. What is the original number to the nearest tenth?
The decrease is 25% so this means that 22 is 75% of the original number (100% - 25% = 75%)
Divide 22 by 75%:
22/ 0.75 = 29.3
The answer is 29.3
Jahnay is following this recipe to make cakes.
Jahnay uses 720 g of flour.
How many cakes is Jahnay making?
Recipe: Makes 1 Cake
90 g sugar
120 g butter
240 g flour
3 eggs
Answer:3
Step-by-step explanation:720 (the amount he uses) and divide it by 240 (which is the amount to make one cake) and it gives you 3
mary has walked 8km, which is 55% of the total distance she will walk. How much father does mary need to walk?
Answer:
she needs to walk 6.5 kilometers more.
Step-by-step explanation:
8km/0.55 = 14.5454 - 8 = 6.5454 = 6.5km
Simplify, using the distributive property and then combining like terms. 4(2x+y)-3(x+y)
Answer:
5x + y
Step-by-step explanation:
4(2x + y) - 3(x + y) = 4*2x + 4y - 3x - 3y = 8x - 3x + 4y - 3y = 5x + y
Hello!
Answer::[tex]\boxed{ \bf The~answer~is~5x~+~y}[/tex]
___________________________________Explanation:4(2x+y)-3(x+y)
Multiply everything inside the brackets by the number outside.
= 8x + 4y - 3x - 3y
Next, combine like terms.
= 8x - 3x + 4y - 3y
= 5x + y
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot.
Student Enrollment at East Valley High School
1530
1500
(2013, 1492)
1470
1440
.
Students
1410
1380
1350
(2009, 1330)
1320
1290
1260
2008 2009 2010 2011 2012 2013
Year
Complete Question:
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot. Student Enrollment at East Valley High School (1st picture)
Which is the equation of the line of best-fit for this scatterplot? (2nd picture)
Answer:
D) y = (81/2)x - (160,069/2)
Step-by-step Explanation:
From the scatter plot in the graph attached below, we are given the ordered pairs of the coordinates (2009, 1330), (2013, 1492), we can derive the equation of the line of best-fit for the scatter plot using the slope-intercept formula.
Thus, the slope-intercept formula is y = mx + b, where m is the slope of the line; and b is the y-intercept.
We need to find m, and then b to input into the formula to get our equation of the line.
==> Finding m using the two sets of coordinate given on the graph [ (2009, 1330) and (2013, 1492) ]:
slope (m) = (y2 - y1)/(x2 - x1)
m = (1492 - 1330)/(2013 - 2009)
= 162/4
m = 81/2
Next is to find b, which is the y-intercept
Recall, y = mx + b
Using one of the coordinates given (2009, 1330), we can find b by inputting 1330 for y, 2009 for x, and 81/2 for m in the slope-intercept formula:
Thus, we would have ==>
1330 = (81/2 * 2009) + b
1330 = (162,729/2) + b
1330 - 162,729/2 = b
(2,660 - 162,729)/2 = b
- 160,069/2 = b
Having known the values of m, and b, let's input their values to get the equation of the line.
Thus, using the slope-intercept formula y = mx + b, the equation of the line of best-fit for the scatter plot would be
==> y = (81/2)x +(-160,069/2)
y = (81/2)x - (160,069/2)
Answer:
d
Step-by-step explanation:
Im getting it very easily now thanks to you guys please could you help me on this and how would they work it out?
Answer: 14, 16, 13,3.5, 50
Step-by-step explanation:
Basically, what you do is find half of each number in the number of customers column and yeah that's it.
Somebody please help
Answer:
A.
Step-by-step explanation:
The volume is LWH
L = 16
W = 9
H = 12
16 * 9 * 12 = 1728
Choose the kind(s) of symmetry: point, line, plane, or none.2
