Answer:
58.0
Step-by-step explanation:
Given the data:
56 65 62 53 68 58 65 52 56
Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68
Median = 1/2(n + 1) th term
n = sample size = 9
Hence,
Median = 1/2(9 + 1)th term
Median = 1/2(10)th term
Median = 5th term
5th term in the reordered data = 58
Hence, median age is 58
Find the Indicated term of the sequence by repeatedly multiplying the first term by the common ratio.Use a calculator.
2-10,50, 6th term
The 6th term of the sequence is____
Answer: -6250
Step-by-step explanation: The common ratio is -5. By multiplying the terms by this ratio, the sixth term is -6250.
Use similar triangles to calculate the height, h cm, of triangle ABE.
Answer:
h=24cm
Step-by-step explanation:
∠DBC=∠ABE (vertically opposite angles)
∠CDB=∠AEB (alternate angles)
∠DCB=∠BAE (alternate angles)
Therefore the triangles DBC and ABE are similar.
That means that the triangles are in ratio to each other.
CD:AE
10:20
1:2
This means that the height of DBC is half the height of BAE.
Since the sum of their heights is 36, h is 2/3 of 36.
The height , h of the traingle is 24 cm.
What are Similar Triangles ?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In other words, similar triangles are the same shape, but not necessarily the same size.
In the question , from the figure it is clear that
ΔDBC and ΔABE are similar with AAA Similarity as
∠DBC=∠ABE (vertically opposite angles)
∠CDB=∠AEB (alternate angles)
∠DCB=∠BAE (alternate angles)
According to the theorem if the triangles are similar their sides are in ratio to each other.
CD : AE = 10 : 20 = 1 : 2
This means that the height of DBC = half the height of ABE.
h+h' = 36
h+h/2 = 36
h= 24 cm
Therefore height of ΔABE is 24 cm .
To know more about similar triangles
https://brainly.com/question/25882965
#SPJ2
If 7(p + 3) = – 28, then p = ? F. 4 G. 1 H. – 1 J. – 4 K. – 7
The answer to this problem will be -7
The scale on a map is
1 inch
250 miles
On the map, the distance from Nashville, TN to Los Angeles, CA is 8.02 inches.
What is the actual distance from Nashville to Los Angeles?
Answer:
2005 miles from Nashville to Los Angeles
Step-by-step explanation:
1 250 x 8 = 2000
0.02 is equal to 2%
2% of 250 is
well 1% of 250 is 2.50 multiplied by two that's 5
What is the multiplicative rate of change of the
function?
Answer:
the multiplicative rate of change for the exponential change is 3
Step-by-step explanation:
Lily and violet live 30 miles apart on a trail. They both start running towards each other with a plan to meet. Lily is moving at 4 miles per hour while violet runs 6 miles per hour. How long does it take for them to meet?
Answer:
3 hours
Step-by-step explanation:
A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.
Answer:
y=15x+35
Step-by-step explanation:
15 every month and 35 for instant charge
What is the sum of
1
8
+
5
16
+
3
8
?
A.
9
32
B.
13
32
C.
9
16
D.
13
16
Answer:
18 + 516 + 38 = 572
Answer:
0.8125 =13/16
Step-by-step explanation:
1/8 +5/16 +3/8= 0.8125
0.8125 as a fraction is 13/16
Tania Ramirez purchases 25 hanging file folders for $6.99. What is the price
per folder?
An airplane is heading due south with an airspeed of 196 miles per hour (mph). A wind from a direction of
N 58°E is blowing at 14 mph. Determine the bearing of the airplane by computing the magnitude and
direction of the resultant vector. Round the angle to the nearest degree.
(A)S 88°W
(B) S 87W
(C)S 2º W
(D)S 3W
Answer:
d
Step-by-step explanation:
Let f(x) = 2x and g(x)=2^x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x) = g(x)? x = □ or x = □. ( I posted a picture of the whole problem also.) Will Mark Brainliest. Need ASAP.
Answer:
Therefore, x is 1 and 2.
Step-by-step explanation:
As you plot both equations on the same graph, you will get something like this, shown in the graph.
Then, you have to find the x solutions where they intersect.
So, both equations intersect at x = 1 and 2.
The measure of the distance an object travels in a certain length of time is the objects
Answer:
speed
Step-by-step explanation:
hope this helps
A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at an angle above the horizontal. Is it a home run
Complete Question
A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at 115 an angle 50 above the horizontal. Is it a home run?
Answer:
[tex]t=5.40sec[/tex]
Step-by-step explanation:
From the question we are told that
Height on hit [tex]H_h=3ft[/tex]
Height of center field fence [tex]H_f=10ft[/tex]
Distance from home plate [tex]D=400ft[/tex]
Initial speed [tex]v_0=115[/tex]
Angle [tex]\theta=50[/tex]
Generally the Parametric equation of the trajectory of a projectile are mathematically represented as
[tex]x=(v_0cos\theta )t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Therefore
[tex]x=(v_0cos\theta )t[/tex]
[tex]x=(115cos50\textdegree )t[/tex]
[tex]x=74t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Initial co_ordinates (0,3)
[tex]y=3+(115sin50\textdegree )t-\frac{1}{2} 32t^2[/tex]
[tex]y=3+88t-16t^2[/tex]
Generally its a home run when Y>10 and x=400
Time when x=400 is
[tex]t=\frac{400}{74}[/tex]
[tex]t=5.40sec[/tex]
Which of the following is a linear function?
y = x^3 + 1
five over six x = y − 4
y = 8x^2
y = one over five x
Answer:
Which of the following is a linear function?
y = x^3 + 1(5/6)x = y − 4y = 8x^2y =(1/5)x2. (5/6)x = y − 4 and 4. y =(1/5)x are the right answers.
Step-by-step explanation:
Linear function is in the form y=ax+b.
13.5 x 12.1 what does it equal
Answer:
163.35
Step-by-step explanation:
13.5 x 12.1 = 163.35
Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
In a study of pain relievers, 100 people were given product A, and 71 experienced relief. In the same study, 50 people were given product B, and 31
experienced relief.
Fill in the blanks of the statement below to make the statement the most reasonable possible.
Product? performed worse in the study because only % got relief with this product, whereas % got relief with Product?
Answer:
Product B performed worse
Step-by-step explanation:
71% experienced relief with Product A
31/50, which is 62%, got relief with Product B
144 ÷ a = 16
Find the value of a.
Answer:
9
Step-by-step explanation:
Move the variable to the other side of the equation
144 ÷ 16 = a
9 = a
Check:
144 ÷ a = 16 (Correct)
What are the coordinates of the point on the directed line segment from (5,5) to
(8,-4) that partitions the segment into a ratio of 1 to 2?
Answer:
[tex](x,y) = (6,2)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (5,5)[/tex]
[tex](x_2,y_2) = (8,-4)[/tex]
[tex]m:n = 1:2[/tex]
Required
Determine the coordinate of the partition
This is calculated using:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
Substitute values for m,n,x's and y's
[tex](x,y) = (\frac{1 * 8 + 2 * 5}{1+2},\frac{1*-4 + 2*5}{1 + 2})[/tex]
[tex](x,y) = (\frac{18}{3},\frac{6}{3})[/tex]
[tex](x,y) = (6,2)[/tex]
20 pts for free ig I'd just need an awnser
Answer:
No
Step-by-step explanation:
4 : 7 = 2 : 3.5, not 2 : 3
Answer:
No
Step-by-step explanation:
4/2=2
2 x 2 = 4
3 x 2 = 6
4:7 and 4:6 is not equal.
Ricardo works as a real estate agent. he earns 6% commission for every how he sells. last month, Ricardo sold two homes. One sold for $135,000 and the other sold for $160,000. how much did Ricardo earn by selling these two homes?
Add the two houses together:
135000 + 160000 = 295,000
Multiply the total by the percentage:
295,000 x 0.06 = $17,700
He earned $17,700
Could anybody help me with this ♀️
Answer:
For A), put a dot at -2, 7, -5, and 1 on the number line.
For B=), put a dot at 9, -4, 3, and -8.
Step-by-step explanation:
Order these numbers from least to greatest.
7.987, 8.4082, 8.8, 8.48
Answer:
7.987, 8.4082, 8.48, 8.8
Step-by-step explanation:
there u go
Answer:
7.987, 8.4082, 8.48, 8.8
Step-by-step explanation:
7 is less than 8 (7 < 8) so it would be first. The first place after the decimal, also known as the tenths place decides the numbers that come after. 8.4082 and 8.48 seem similar but are pretty different. When you round 8.4082 it becomes 8.41 which is less than 8.48. That leaves just 8.8 which is your highest number.
If there is 60 runners and they each get 8 oz of water how many pounds of water do they get total
Cameron wanted to get both lines with one zap. They solved an equation to find the intersection point and figured out that x=10. How could Cameron find the y-value of the point of intersection?
For every 1000 hits a channel gets it makes £2.50 from ad revenue.
How many hits will the channel need to make £1
Please help!
if rstu is a rhombus, find m<uts
Answer:
[tex]\angle UTS = 40[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find [tex]\angle UTS[/tex]
From the attachment:
[tex]\angle RSU = 70[/tex]
Because it is a rhombus (all equal sides), then the following relationship exists between the angles
[tex]\angle RSU = \angle SUR = 70[/tex]
Considering triangle RSU.
[tex]\angle RSU + \angle SUR + \angle URS = 180[/tex]
This gives:
[tex]70 + 70 + \angle URS = 180[/tex]
[tex]140 + \angle URS = 180[/tex]
[tex]\angle URS = 180-140[/tex]
[tex]\angle URS = 40[/tex]
[tex]\angle UTS = \angle URS = 40[/tex] --- Opposite angle of a rhombus
Fosmine lounches a model rocket from a elift. The rocket goes up 16.8 feet above the cliff,
then it drops 28.1 feet into the ocean below.
Complete the statements to describe how to determine the change in height from the cliff to
the ocean below.
Answer: The final answer I got is -44.9
Step-by-step explanation: At the first chose I put Positive, then at the second choise I put negative, at the third choose I put 16.8-(-28.1), and at the last choice I put -44.9.
Graph -3x+ 5y = -27 HELP ASAP
Answer:
Step-by-step explanation:
I added a screenshot of the graph hope it helps
177 is what percent of 300? Round your answer to the nearest tenths.
Answer: 59%
Step-by-step explanation:
Hope this helps have a great day. :)
Answer:
59%
Step-by-step explanation:
I would solve this through proportions
177 x
300 100
Cross multiply
177 x 100 = 17700
And then divide
17700/300 = 59
The answer is 59%