Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then
[tex]AB + BC = 10[/tex]
Where
[tex]AB = BC[/tex] --- Perpendicular bisector
So, the equation becomes
[tex]AB + AB =10[/tex]
[tex]2AB =10[/tex]
[tex]AB = 5[/tex]
Recall: [tex]AB = BC[/tex]
[tex]AB = BC = 5[/tex]
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7
(5x + 2) + (4x + 5)
= 5x + 2 + 4x + 5
= 5x + 4x + 5 + 2
= 9x + 7
A tennis court is surrounded by a fence so that the distance from each boundary of
the tennis court to the fence is the same. If the tennis court is 72 feet long and 30
feet wide, what is the area of the entire surface inside the fence?
The area of the entire surface will be 2160 feet Wide/Long.
Laura kept a list of her expenses and income for one month. If she started the month with no money, how much money did she have left at the end of the month?
Answer:
$25
Step-by-step explanation:
she received$12 five times
12×5=60 ...(1)
she earned$5 two times for yard work
5×2=10....(2)
(1)+(2).... 60+10=70
Bought dog food and ticket
30+15=45
70-45=25
Answer $25 is what she is left with at the end of the month
Answer:
She would have 5 dollars left
Step-by-step explanation:
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
WILL GIVE BRAINLST
hAVE A GOOD DAY
Answer:
really!!?? thank you!!! need one! ;w;
Step-by-step explanation:
Answer:
put it at 4.5
Step-by-step explanation:
put it at 4.5 because 20's square root is 4.472 but it says approximately so you need to round 4.472 to 4.5
What is the value of a?
Answer:
your answer will be option B
Step-by-step explanation:
[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]
PLEASE ANSWER FAST!! I WILL GIVE BRAINLIEST :)
Which statement best describes the association between variable
X and variable Y?
A. moderate positive association
B. strong negative association
C. perfect negative association
D. no association
An artist mixes paint to make new colors.
She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available,
how many batches of orange paint can she make?
Enter your answer in the box.
Answer:
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of red paint for one batch of orange paint = 1/3 of a cup
Amount of yellow paint for one batch of orange paint= 1/3 of a cup
Amount of red paint available = 2 cups
Amount of yellow paint available = 3 cups
2. How many batches of orange paint can she make?
2 cups of red paint = 6/3 = 6 batches of orange paint
3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x≥1
Step-by-step explanation:
help!!!!! will give big brain
plzz help me solve this question i need correct question i will mark you as a brainliest and I will give 5.0 rating anf thanks if ur answer will be correct
Answer:
I. p = 7
II. 17 litres
Step-by-step explanation:
I. Determination of the value of p
Mean = 17.7
p =.?
Let the number of litre be L
Let the number of motorist be M
Mean = summation LM / summation M
Summation of LM = (16×11) + (17×10) + (18×p) + (19×4) + (20×8)
= 176 + 170 + 18p + 76 + 160
= 582 + 18p
summation M = 11 + 10 + P + 4 + 8
= 33 + p
Mean = summation LM / summation M
17.7 = 582 + 18p / 33 + p
Cross multiply
17.7(33 + p) = 582 + 18p
584.1 + 17.7p = 582 + 18p
Collect like terms
584.1 – 582 = 18p – 17.7p
2.1 = 0.3p
Divide both side by 0.3
p = 2.1 / 0.3
p = 7
II. Determination of the median number of litre.
Let the number of motorist be M (i.e the frequency)
summation M = 11 + 10 + P + 4 + 8
p = 7
summation M = 11 + 10 + 7 + 4 + 8
summation M = 40
The median is the middle term i.e
Median = (summation M / 2)ᵀʰ motorist
Median = (40 / 2)ᵀʰ motorist
Median = 20ᵀʰ motorist
Considering the table in the question above, the 20ᵀʰ motorist has 17 litres.
Therefore, the median number of litres is 17 litres.
The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest
Answer:
d. and e.
Step-by-step explanation:
i did the test
Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A rectangular piece of glass is shown.
The length is measured as 4 feet.
The width is measured as 2 and one-half feet.
We have to find the equations can be used to find the area of the piece of glass.
Area=Length×width
Area=4 feet × 2 and one-half feet
=4×[tex]2\frac{1}{2}[/tex]
=4×5/2
Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
To learn more on Area of Rectangle click:
https://brainly.com/question/20693059
#SPJ2
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
Find the value of x when 27 - 2x + 1 = 729+ 2x + 3
Answer:
[tex] - 2x - 2x = 729 + 3 - 27 - 1 \\ [/tex]
[tex] - 4x = 704[/tex]
[tex]x = -704 \div 4 = -176[/tex]
If Figure F is rotated 180° and dilated by a factor of , which new figure could be produced?
Hurry please!
Answer:
2nd answer choice :)
Step-by-step explanation:
The new figure produced is given below.
Option C is the correct answer.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the figure be in the first quadrant.
Now,
Rotation of 180-degree means,
The figure will be in the third quadrant.
Now,
Dilation with a factor of 1/2.
This means,
The figure will shrink by 1/2.
Thus,
The new figure is given below.
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ5
Liz has added 20% of the total amount of acid that she needs
in the beaker for her experiment. She has put in 10 ml so far.
How much more does she need to add? Plz help
Plzzz help. Giving everything.
Answer:
d. 260. is the answer.
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?
Answer:
Speed = distance / time
= 6/3 =2 ft/sec
Time = distance / speed
= 60/2
= 30 seconds
How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.
A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.
Answer:
I don't know
Ich bin fett
I'm just a fat boy watching ph once a month
Step-by-step explanation:
bobo Ampt
Can someone help me with these questions and show work please and thank you
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?
Answer:
The monthly service charge
Step-by-step explanation:.
Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6
Answer:
X Y
10 7
8 5
6 3
Step-by-step explanation:
Not much to explain - just put a number 3 smaller than X into column Y
The required table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The rule is given in the question, as follows:
y is 3 less than x
For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.
For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).
Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).
The table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
Learn about the linear relationship here :
https://brainly.com/question/11663530
#SPJ5
Volume of a cone is 48 pi and have a radius of 8 what is the height
Answer:
Step-by-step explanation:
the answer is in the pic open it
hope it help mark me as a brill please
Find the missing number in each sequence.
40, ___ , 37 1/3 , 36
Jordan typed 40 words a minute and he spends 1 minute typing a ending how many minute did it take him to write a sentence
i also heard that you can get points for answering questions.
Answer:
02920
Step-by-step explanation:
92823
A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in a packing
plant and calculates the proportion of cans from each sample with at least 3 cherries. Suppose that 98% of
fruit cocktail cans produced in that packing plant contain at least 3 cherries
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.98
0.98
Answer:
A
Step-by-step explanation:
Khan Academy
FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning
9514 1404 393
Answer:
Chun is correct
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
__
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
__
Chun's proportion correctly gives x=24.
Answer:
Step-by-step explanation:
Chun; by the Triangle Angle Bisector Theorem, the correct proportion is 58=15x.
7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer
Answer:
12 square units
Step-by-step explanation:
The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the given grid, the following can be observed for triangle STU.
base SU = 6 units
height = 4 units
Thus,
area of triangle STU = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 6 x 4
= 3 x 4
area of triangle STU = 12 square units
The required area of triangle STU is 12 square units.