Answer:
[tex]b = 90[/tex]
[tex]c=80[/tex]
[tex]d =100[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram
Collect like terms
[tex]b + b =180+10-10[/tex]
[tex]2b = 180[/tex]
Solve for b
[tex]b = 180/2[/tex]
[tex]b = 90[/tex]
Then, we have:
[tex]d =b + 10[/tex]
[tex]c = b - 10[/tex] --- opposite angles
So, we have:
[tex]d =90 + 10[/tex]
[tex]d =100[/tex]
[tex]c = 90 - 10[/tex]
[tex]c=80[/tex]
Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))
Answer:
3
Step-by-step explanation:
36-27 = 9
[tex]\sqrt{9} = 3[/tex]
Circuit boards from two assembly lines set up to produce identical boards are mixed in one storage tray. As inspectors examine the boards, they find that it is difficult to determine whether a board comes from line A or line B. A probabilistic assessment of this question is often helpful. Suppose that the storage tray contains 10 circuit boards of which six came from line A and four from line B. An inspector selects two of these identical-looking boards for inspection. He is interested in X, the number of inspected boards from line A.
a. Find the probability function for X .
b. Graph the probability function of X .
c. Find the distribution function of X .
d. Graph the distribution function of X .
Answer:
a) X = 2/15 , 8/15, 1/3
b) attached below ( probability plot )
C) F(x ) attached below
d) cumulative probability plot
Step-by-step explanation:
a) Determine the probability of Function X
P( x = 0 ) = 6 / 45 = 2 /15 = 0.1333
P( x = 1 ) = 8/15 = 0.5333
P( x = 2 ) = 1/3 = 0.3333
Hence the probability of Function X = 2/15 , 8/15, 1/3
b) Graph of the probability Function of X
x 0 1 2
p(x) 0.1333 0.5333 0.3333
attached below is the plot ( probability plot )
c) Determine the Distribution function of CX
using the results achieved in part ( a )
attached below is the solution
d) Graph of distribution function of X
x 0 1 2
p(x) 0.1333 0.6667 1
attached below is the plot ( cumulative probability plot )
Jackie converted the following decimals to fractions which decimal did she convert incorrectly
Answer:
Step-by-step explanation:
what is the equation of a line that passes through 2,-3 with a slope of 2/3
Answer:
y=2/3x-13/3
Step-by-step explanation:
this is the equation
The wholesale price of a basketball was $10.00. The store marked it up an additional 120%. What was the sale price?
Answer:
The sale price was 54.55 but if you round it up its 55 hope i helped!
Step-by-step explanation:
Round 3.28 to the nearest thousandth
Answer:
3.280
Step-by-step explanation:
You just add a 0
In the figure TU is tangent to the circle at the U point. See below
Answer: 6
Explanation: 8 + 4 divided by 2 = 6
I know this is definitely the correct answer but I forgot which theorem it is. If you need any further explanation I will gladly try and find some more.
-> What is the remainder of 46 divided by 48?
the answer would be 0.9583
is this right please hep
17 meters because 5^2+12^2=17 meaning the answer must be d
Answer:
yes you are right! the answer is c
Step-by-step explanation:
**reminder: the hypotnuse is always your longest side**
first do 5 square = 25
then do 12 squared = 144
now add 25+144= 169
and finally you do 169 square root which equals 13
Hope this helped!
Whoever will answer the second question will be marked brainliest.
answer faaaast
A swimming team has 16 members. The coach wants to create teams of 4 swimmers to compete in the relay race. How many different teams of 4 can she make without repetition?
There is 1820 ways of teams of 4 can she make without repetition using combination formula.
What is combination?
Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.
Here There are 16 total swim team members and 4 swimmers that will be chosen for each relay team.
So, n=16 and r=4. Then
=> nCr = [tex]\frac{n!}{r!(n-r)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!(16-4)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!*12!}[/tex]
=> 16C4 = [tex]\frac{16*15*14*13}{4*3*2*1}[/tex]
=>16C4 = 4*5*7*13 = 1820
Hence there is 1820 ways of teams of 4 can she make without repetition.
To learn more about combination refer the below link
https://brainly.com/question/28065038
#SPJ1
An object has a weight of 6.4 N.
Calculate the mass of the object.
Use the equation
mass = weight = gravitational field strength (g)
gravitational field strength = 9.8 N/kg
Answer:
Step-by-step explanation:
We can do this quite simply by using Newton's equation: forcegravity = G × M × mseparation2 .
Suppose: your mass, m, is 60 kilogram; the mass of your colleague, M, is 70 kg; your centre-to-centre separation, r, is 1 m; and G is 6.67 × 10 -11 newton square metre kilogram-2.
Lulu finished a race in 42 minutes. Last year she took 3 minutes longer. Which equation can be used to find her finishing time last year?
you should add two sums to get higher equation that means he took 45 minutes last year that is
42+3=45
Help me on this plz
Kurt recorded the amount of rainfall in each month for one year. What was the total rainfall that year?
Answer:wheres the question
sadStep-by-step explanation:
sadsadsa
answer pls i will give brainliest!
Answer:
surface tension
Step-by-step explanation:
It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.
The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.
At West High School, 10% of the student population is taking a calculus course, 8% is taking a physics course, and 6% is taking both. Find the probability that a student chosen at random is taking a physics course, given that the student is taking a calculus course. A. 0.06 B. 0.60 C. 0.70 D. 0.75
Answer:
the closest answer I got was A
Step-by-step explanation:
hope this helped at all
Answer:
It's B
Step-by-step explanation:
The following article was presented as supplemental reading in Unit 7:
Joshanloo, M., Rastegar, P., Bakhshi, A. (2012). The big five personality domains as predictors of social wellbeing in Iranian university students. Journal of Social and Personal Relationships. 29(5), 639-660.
The researchers presented this correlation matrix:
Which of their alternative hypotheses were supported by the evidence at a minimum of alpha .05 (choose one or more)?
-Neurotism was negatively associated with total social wellbeing
-Openness is positively associated with total social wellbeing
-Agreeableness is positively associated with total social wellbeing
-Conscientiousness is positively associated with total social wellbeing
-Extraversion is positively associated with total social wellbeing
Answer:
Candice
Step-by-step explanation:
Please help me 7th grade math
Answer: 1/8
Step-by-step explanation: hoped this helped :))
Mrs. Garcia wants to paint her patio floor. She needs to determine the area so she will know how much paint to buy. What is the area of the patio floor shown?
Answer: 375 ft
Step-by-step explanation:
break the shape into three parts in order to find the area of each of them look at the picture. I broke the parts into numbers 1 ,2 ,and 3. You can take the area for number one bye using the length given which is 20 and the width which is 5. Multiply the length times width and you'll receive the area. Box 2 : subtract 5 - 15 in order to get the width which is 10 and use the lengths given at the top which is 20. multiply them in order to get the area. box 3 : in order to get the width you can subtract 30 by 20 + 5 which leaves you with 5, which is the width. The length is already given to you on the side which is 15. Multiply 5 by 15 in order to get the area.once you get all of the areas for the boxes which should be 100, 200, 75. add them all up to obtain the area of the shape which should equal 375 ft.
Find the 8th term of the geometric sequence show below
Answer:
Alli khanaw .................
Answer:
8x^36
Step-by-step explanation:
first term (a) = [tex]8x^{8}[/tex]
Second term (t2)= [tex]8x^{12}[/tex]
common ratio (r)
= [tex]\frac{8x^{12} }{8x^{8} }[/tex]
= [tex]x^{4}[/tex]
now the 8th term of the G.S is
t8 = [tex]ar^{n-1}[/tex]
= [tex]8x^8 * (x^4)^8^-^1[/tex]
= [tex]8x^8 * (x^4)^7\\[/tex]
= [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]
hope it will help
what is x²=16?
2
3
4
8
Answer: 4
Step-by-step explanation:
4^2=16
Answer:
4
Step-by-step explanation:
When we square something we just multiply it by itself.
2 x 2 = 4 so not 2
3 x 3 = 9 so not 3 either
4 x 4 = 16 this one is correct!
8 x 8 = 64 not this one either
So the answer is 4 BOOM
Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
HELP PLZ
Answer:
Once Kenny gets 6 hats sold, he could gain the $3 he spent back, and once Ben sells 4 hats, he could gain the $1 he spent back.
Step-by-step explanation:
Please help! 4th grade math. (See below)
*Use an equation to write each fraction or product as a multiple of a unit fraction*
3/5
If you place a 28-foot ladder against the top of a 22 foot building
Answer:
17.3 ft
Step-by-step explanation:
To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.
b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}
b = √784 - 484 {Subtract 484 from 784 to get 300.}
b = √300 {Find the square root of 300.}
b = 17.32051 {Round to the nearest tenth.}
b = 17.3 ft.
The bottom of the ladder will be 17.3 ft from the bottom of the building.
I hope this helps! ^w^
Stacy owes 13.65 for text messging in the month of September if her text messaging plan cost 12 for the first 300 messages and 5c for each text message how many text messages did she send that month
Answer:
need points
Step-by-step explanation:
The volume of wood in a tree varies jointly as the height of the tree and the
square of the distance around the tree trunk. If the volume of wood is 15.84 cubic
feet when the height is 22 feet and the distance around the trunk is 3 feet, what is
the volume of wood obtained from a tree that is 32 feet tall having a measurement
of 4 feet around the trunk?
please help :))
Answer:
The volume is 40.96 cubic feet
Step-by-step explanation:
Given
[tex]V\ \alpha\ h * d^2[/tex]
Where
[tex]V = Volume\\ h = height\\ d = distance[/tex]
[tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]
Required
The volume when h = 32 and d = 4
[tex]V\ \alpha\ h * d^2[/tex]
Express as an equation
[tex]V = khd^2[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k = \frac{V}{hd^2}[/tex]
Substitute [tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]
[tex]k = \frac{15.84}{22 * 3^2}[/tex]
[tex]k = \frac{15.84}{22 * 9}[/tex]
[tex]k = \frac{15.84}{198}[/tex]
[tex]k = 0.08[/tex]
To solve for V when h = 32 and d = 4, we have:
[tex]V = khd^2[/tex]
[tex]V = 0.08 * 32 * 4^2[/tex]
[tex]V = 0.08 * 32 * 16[/tex]
[tex]V = 40.96[/tex]
The volume is 40.96 cubic feet
The volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, we have:
V = volume of the wood varying jointly as height of the tree and square of the distance around the trunk.
Let we take:
r = distance of the wood around the trunk (in feet)h = height of the tree ( in feet)V will of course increase as r or h increases, and as it varies jointly, thus:
[tex]V \propto h r^2[/tex]
Let the constant of proportionality be 'k', then:
[tex]V = kr^2h[/tex] (in cubic foot)
For case 1, it was specified that V = 15.84 cubic foot when r = 3 ft and h = 22 ft,
Putting these values gives us:
[tex]15.84 = k(3)^2(22)\\\\k = \dfrac{15.84}{198} = 0.08[/tex]
Thus, we have:
[tex]\rm V = 0.08r^2 h \: \rm ft^3[/tex]
Assuming second wood was also obtained from same kind of tree, we get the volume of the wood for h = 32 and r = 4 feet as:
[tex]V = 0.08 (4)^2 (32) = 40.96 \: \rm ft^3[/tex]
Thus, the volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]
Learn more about proportionality here:
https://brainly.com/question/13082482
If ADB= 15° then What is ACB
Answer:
30 degrees
Step-by-step explanation:
<ACB is a central angle while <ADB is an inscribed angle.
Central angles are twice the size of inscribed angles.
Therefore, <ADB*2 = <ACB . 15*2=30
-3x-6=12 what does x equal
Answer:
-6
Step-by-step explanation:
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
Answer B will be the best answer for your question.
Step-by-step explanation:
Polygons usually have straight sides, but this one does not.