The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).
Answers
Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.
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CHAPTER 22
Statistics and Central Tendencies
results are shown in the table below.
Number of visits
Number of people
1
6
2 3
119
5
7.
8
6
S
7.
4
(a) Find the median number of visits per person.
(b) Calculate the mean number of visits per person.
[ Jan., paper 1, No. 21
ling between two cities, 3/8 of the passengers ar
Fifty people visiting a museum were asked how many times they had visited the museum
Answers
Answer:
p
Step-by-step explanation:
The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answers
Answer:
a) 0.0977
b) 0.3507
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
Mean = 1395 grams
Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
(a) What proportion of broilers weigh between 1160 and 1250 grams?
For x = 1160
z = 1160 - 1395/300
= -0.78333
Probability value from Z-Table:
P(x = 1160) = 0.21672
For x = 1250 grams
z = 1250 - 1395/300
z = -0.48333
Probability value from Z-Table:
P(x = 1250) = 0.31443
The proportion of broilers weigh between 1160 and 1250 grams is
0.31443 - 0.21672
= 0.09771
≈ 0.0977
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
For x = 1510
= z = 1510 - 1395/300
z = 0.38333
Probability value from Z-Table:
P(x<1510) = 0.64926
P(x>1510) = 1 - P(x<1510) = 0.35074
Approximately = 0.3507
(c) Is it unusual for a broiler to weigh more than 1610 grams?
For x = 1610
= z = 1610 - 1395/300
z = 0.71667
Probability value from Z-Table:
P(x<1610) = 0.76321
P(x>1610) = 1 - P(x<1610) = 0.23679
No it is not unusual for a broiler to weigh more than 1610 grams
The weekly milk order for the Tranquility Hotel includes 40 gallons of low- fat milk and 15 gallons of chocolate milk. What is the ratio of chocolate gallons to low- fat gallons in Tranquility Hotel's weekly milk order?
Answers
Answer:
15:40
Hope it helps!
randma has 3 pounds of flour. She uses 1 pounds of flour to make rolls for
hanksgiving dinner. How much flour does Grandma have left over?
Answers
She uses 1, subtracts 1 pound
Now she has 2 pounds of flour
Answer:
2 pounds
Step-by-step explanation:
i feel like it's a trick question :/
The highest location in a certain country is 14,864 feet above sea level. The lowest point in the same country is 141 feet below sea level.
Find the difference of the two elevations.
A city is 7,642 feet above sea level. Is this elevation closer to the highest point or the lowest point?
Answers
Answer:
15,003 and Highest Point
Step-by-step explanation:
The highest point is at a positive 14,864 feet so we will use the number 14, 864.
The lowest is at a negative (below sea level) 141, so we will use the number -141.
The difference between them means that you subtract.
14,862-(-141)= x
Note that there is a double negative so it is positive.
14862+141=15,003 feet difference between them.
A city at 7642 above sea level is:
7642-14862=7222 feet away. The city is 7222 feet away from the highest point.
7642--141=7783 feet away. The city is 7783 feet away from the lowest point.
7222 is less than 7783, so the city is closest to the highest point.
Answer:
The difference is 15,005 and for the second part its closer to the highest point
Hope this helps!
Which number is NOT a common multiple of 4 and 6?
Answers
Answer:
8
Step-by-step explanation:
you can multiply 4 by another number to get 8
but you can’t multiply 6 by any whole number to get 8
Answer:
The answer is 8
Step-by-step explanation:
You can multiply 4 by two and get 8, but you can't multiply 6 by any whole number and get 8.
4 times 6= 24
6 times 4=24
4 times 3=12
6 times 2=12
4 times 15=60
6 times 10=60
Which expression is equivalent to 2cos^2(x/2)- cos(x)?
Edge 2020
Answers
Given:
The expression is
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
We know that,
[tex]\cos x=2\cos^2 (\dfrac{x}{2})-1[/tex]
Using this formula, the given expression can be written as
[tex]2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)[/tex]
[tex]=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1[/tex]
[tex]=1[/tex]
Therefore, the given expression is equivalent to 1.
Answer:
B
Step-by-step explanation:
otld7dlyzotzfkztkzk
Answers
The slope of the line is 1 and so is the gradient or “Steepness”.
Gradient is another word for "slope". The higher the gradient of a graph at a point, the steeper the line is at that point. A negative gradient means that the line slopes downwards. Same with a positive gradient.
How much does a 6-ounce apple weigh in grams?
I'll give brainiest
Answers
Answer:
169
Step-by-step explanation:
If the coordinate ( -12, 15 ) was translated according to (x+3, y-2), what would the new coordinate be?
Answers
Find the approximate area under the curve by dividing the intervals into n subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you n1and n2y = 2x underroot x^2 + 1 betwee x=0 and x=6 n1 and n2Find the exact area under the curve using integrationy = 2x underroot x^2 + 1 between x = 0 and x = 6
Explain the reason for the difference in your answers.
n1=12
n2=5
Answers
Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:
The function is [tex]2x\sqrt{x^{2}+1}[/tex], then the area under, with interval between 0 and 6 is:
[tex]\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx[/tex]
To solve this integration, use substitution method, in which:
[tex]u=x^{2}+1[/tex]
[tex]\frac{du}{dx}=2x[/tex]
du = 2xdx
Replacing into the integral:
[tex]\int\limits^a_b {\sqrt{u} } \, du[/tex]
Solving:
[tex]\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}[/tex]
Replacing it back to x:
[tex]\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}[/tex]
Substituing limits between 0 and 6:
[tex]= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ][/tex]
= 149.37
Area under the curve using Integration is 149.37 square units
Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.
The method is done by the following relation:
in which
i is the n, the number of subintervals the area is dividing into
Δx is width of each subintervals.
For the function f(x) = [tex]2x\sqrt{x^{2}+1}[/tex], interval between 0 and 6:
subinterval n1 = 12:[tex]\Delta x=\frac{6-0}{12}[/tex]
[tex]\Delta x=[/tex] 0.5
[tex]A=\Sigma f(x_{i}).\Delta x[/tex]
[tex]A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5[/tex]
[tex]A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5[/tex]
A = 131.575 square units
subinterval n2 = 5:[tex]\Delta x=\frac{6-0}{5}[/tex]
Δx = 1.2
[tex]A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2[/tex]
[tex]A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2[/tex]
A = 108.24 square units
Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.
I believe it is AAS but am not sure whether ASA could be true as well
Answers
Answer: Choice C) AAS
Nice work on getting the correct answer.
=======================================================
Explanation:
We're given that angle A = angle C. This is shown in green in the diagram below.
AB || DC so we can show that angle ABD = angle CDB by the alternate interior angle theorem. This is shown in red.
Finally, we know that BD = BD which is marked in blue.
Note how the blue segment is not between the red and green angle for any of the two triangles. So we use AAS instead of ASA. The order is important.
1+8 pls help me nowwwwww
Answers
Answer:
9
Step-by-step explanation:
The answer is 9. You can figure it out by counting up from 8!
7.15 divided by 65 what is the answer? I need help to solve this problem
Answers
Answer:
7.15/65 = 0.11
Borrowers choosing an adjustable-rate mortgage
pay a higher interest rate during the first few years.
are often forced to sell their homes after the first year.
often pay a lower interest rate during the first few years.
agree to accept no risk when borrowing money.
Answers
Answer:
Often pay a lower interest rate during the first few years
Step-by-step explanation:
Option c on edge. 2020
Answer:
C
Step-by-step explanation:
a+b+c=88
b+c=84
a=2xb
Help!
Answers
Answer:
C=84∘, a=2, c=7
Step-by-step explanation:
Answer:
Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82
what is 13x144 i don't know what it it im 2nd grade
Answers
Answer:
Step-by-step explanation: 1,872
Answer: 1,872
Step-by-step explanation:
Find the product of 3 1/5 and 5/8. Express your answer in simplest form
Answers
Answer:
8 4/5
Step-by-step explanation:
Answer:
this is the answer i hope it helps you 3 33/40
Which of the following statements are reasons for why we get electrical energy from a
battery. Select all that apply.
Answers
Eight friends share 12 pounds of
gold coins equally. How many
pounds of coins does each friend
get?
N
Answers
Answer: each person would get 1.5 pounds of gold
Step-by-step explanation:
12/8= 1.5
Answer:
1.5 pounds of gold
Step-by-step explanation:
You just do 12÷8 which gives you 1.5
Hope this helped!
the simple formula for price elasicity of demand is
Answers
Answer:
The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.
Examine the equation. 4(x – 3) = 4x – 12 Which of the following is true? (Check all that apply.) It is a true statement. Any input will result in an equivalent equation. It is equivalent to an equation of the form a = a. It has no solution. Only one input will result in a true statement.
Answers
Answer:
A, B, and C.
Step-by-step explanation:
We have the equation:
[tex]4(x-3)=4x-12[/tex]
Let’s distribute the left. This yields:
[tex]4x-12=4x-12[/tex]
Let’s add 12 to both sides:
[tex]4x=4x[/tex]
And subtract 4x from both sides:
[tex]0=0[/tex]
We get the true statement 0=0.
Hence, A is correct.
Because it is a true statement, any input will yield an equivalent output.
Hence, B is also correct.
We also have the form a=a, where a is 0.
Hence, C is also correct.
Therefore, our correct answers are A, B, and C.
Answer:
It is a true statement.
Any input will result in an equivalent equation.
It is equivalent to an equation of the form a = a.
How many times larger is 4 x 10 ^16 than 4 x 10^6?
Answers
Answer:
10^10 timesStep-by-step explanation:
To find it we will divide:
4 x 10^16 / 4 x 10^6 = 4/4 x 10^(16 - 6) = 1*10^10=10^10 timesThe first number is 10^10 times larger
Answer:
1e+16 and 1000000 multiply it then divide...
Step-by-step explanation:
Jordan and $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip which would be the total amount Jordan earned
Answers
Jordan made a total of $50 for maintaining his neighbor's yard.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given, Jordan earned $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip.
Thus,
Total money Jordan earned = Salary + tip
Total money Jordan earned = 35 + 15
Total money Jordan earned = 50
therefore, the total amount Jordan earned is $50 for taking care of his neighbor's lawn.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ2
write an equation for the graph using point-slope form
Answers
Answer: y-6=5/6(x-4)
Step-by-step explanation:
using the 2 points to find the slope (-2,1) and (4,6):
(6-1)(4--2)=5/6
y-6=5/6(x-4)
Find the unknown
*
7.8-2.15
Answers
I will give you brainliest
Answers
Answer:
3 /4 I think
Step-by-step explanation:
(1, 72), (3,66), (5, 53), (7, 40), (9, 34)
WILL MARK BRAINLIEST Cole determined the equation of a linear regression line, and determined that these are the corresponding predicted v
(1, 74), (3,63), (5, 52), (7, 41), (9, 30)
Use the point tool to graph the residual plot for the given values in the data set.
Answers
Answer:
y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]
Step-by-step explanation:
(1, 74)
(3, 63)
m = (63 - 74) / (3 - 1) = [tex]-\frac{11}{2}[/tex]
y - 74 = [tex]-\frac{11}{2}[/tex] (x - 1)
y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]
Ken prepared 12 kilograms of dough after working 2 hours. How many hours did Ken work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.
Answers
Answer:
36 Kilograms of Dough in 6 hours
Step-by-step explanation:
Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.
3 2/3 x 2 3/4 what is the answer guys and thank you to anyone helping me out with this question
Answers
Answer:
The answer is 6 6/12
Step-by-step explanation: