Step-by-step explanation:
speed = distance/time
speed = 871÷13
speed = 67 mph
distance = speed x time
distance = 67mph X 9hrs
distance = 603 m
Answer:
603miles
Step-by-step explanation:
871=13
?=9
cross multiply
871x9=13?
7839=13?
7839/13=13?/13
603=?
?=603
What is the recursive formula for this sequence:
1,-1,-3, -5......
Answer:
d) A[n] = A[n=1] - 2 (Your selected answer is correct)
Step-by-step explanation:
Think of the formula as:
new number = previous number minus 2
Which of the following best classifies a quadrilateral with coordinates A(7,0), B(3, 1), C(4,7), and D(8, 6)?
A.Rectangle
B.Parallelogram
C.Trapezoid
D.Square
Answer:
B. Parallelogram
Step-by-step explanation:
The opposite sides of the quadrilateral are equal and so the quadrilateral is a rectangle, the correct option is A.
What is a Quadrilateral?A quadrilateral is a polygon with four sides.
The coordinates of a quadrilateral are:
A(7,0), B(3, 1), C(4,7), and D(8, 6)
The distance between the coordinates has to be determined to identify the type of quadrilateral
The distance formula is
[tex]\rm D = \sqrt { ( x- x_1)^2 + (y-y_1)^2}[/tex]
[tex]\rm AB = \sqrt { (3-7)^2 + (1-0)^2}\\AB = \sqrt { 17}[/tex]
[tex]\rm BC = \sqrt { ( 1)^2 + (6)^2}\\BC = \sqrt {37}[/tex]
Similarly,
[tex]\rm CD= \sqrt { 17}\\\\AD = \sqrt{37}[/tex]
The opposite sides of the quadrilateral are equal and so it is a rectangle.
To know more about Quadrilateral
https://brainly.com/question/13805601
#SPJ5
Solve the equation. 7x = 3x^2 - 1
Answer:
Step-by-step explanation:
Answer:
If you still need help search up Mathaway it gives u the answer to all your problems and it gives a step by step explination
Step-by-step explanation:
Subtract
3
x
2
from both sides of the equation.
7
x
−
3
x
2
=
−
1
Add
1
to both sides of the equation.
7
x
−
3
x
2
+
1
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
−
3
,
b
=
7
, and
c
=
1
into the quadratic formula and solve for
x
.
−
7
±
√
7
2
−
4
⋅
(
−
3
⋅
1
)
2
⋅
−
3
Simplify.
Tap for more steps...
x
=
7
±
√
61
6
The final answer is the combination of both solutions.
x
=
7
+
√
61
6
,
7
−
√
61
6
The result can be shown in multiple forms.
Exact Form:
x
=
7
+
√
61
6
,
7
−
√
61
6
Decimal Form:
x
=
2.46837494
…
,
−
0.13504161
…
a = 3 and c = 12 c/a =
Answer:
4, because 12/3 is 4 cause 3×4=12
Answer: 4
Step-by-step explanation: you need to divide 12 and 3 to get 4.
Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place
Answer:
AC = 6.7
Step-by-step explanation:
If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.
9^2 = 6^2 + b^2
81 = 36 + b^2
81-36 = b^2
45 = b^2
6.7 = b
so AC = 6.7
Can someone help me with this?
Find x. Round to the nearest tenth.
xº
13
15
Answer:
x= 49.1
Step-by-step explanation:
Please see the attached picture for the full solution.
No links please and make sure its correct.
Answer:
it is B
Step-by-step explanation:
he is putting in by the 3/5
Answer:
C.
Step-by-step explanation:
Why its C...
You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.
Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.
Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.
Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?
So it would be C
Hope this helps :)
Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair
(1, 2) represents the selection of boards 1 and 2 for inspection.
(a) List the ten different possible outcomes.
(b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.
Answer:
a) S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}
b) p(x) = 0.3 if x = 0
= 0.6 if x = 1
= 0.1 if x = 2
= 0 otherwise
Step-by-step explanation:
Given - Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1, 2) represents the selection of boards 1 and 2 for inspection.
To find - (a) List the ten different possible outcomes.
(b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.
Proof -
(a)
Given that there are 5 computer boards
Let,
The Boards are 1, 2, 3, ,4 and 5.
Now,
Total Number of possible ways of selecting 2 boards out of 5 by inspection = ⁵C₂ = [tex]\frac{51}{2! (5-2)!}[/tex] = [tex]\frac{5!}{2! 3!}[/tex] = [tex]\frac{5.4.3!}{2! 3!}[/tex] = [tex]\frac{5.4}{2.1}[/tex] = 10
And the choices be
Choice I -
Boards 1 and Board 2
Choice II -
Board 1 and Board 3
Choice III -
Board 1 and Board 4
Choice IV -
Board 1 and Board 5
Choice V -
Board 2 and Board 3
Choice VI -
Board 2 and Board 4
Choice VII -
Board 2 and Board 5
Choice VIII -
Board 3 and Board 4
Choice IX -
Board 3 and Board 5
Choice X -
Board 4 and Board 5
And
These outcomes becomes
S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}
(b)
Given that, X be the number of defective boards
And there are only two defective boards (Board 1 and Board 2) in the lot
Therefore,
X can be 0, 1, and 2.
Now,
If X = 0
⇒ There is no defective boards
⇒ Possible outcomes be - { (3,4), (3,5), (4,5) }
So,
P(X=0) = [tex]\frac{3}{10}[/tex] = 0.3
Now,
If X = 1
⇒ There is one defective board
⇒ Possible outcomes be - { (1,3), (1,4), (1,5), (2,3), (2,4), (2,5) }
So,
P(X=1) = [tex]\frac{6}{10}[/tex] = 0.6
Now,
If X = 2
⇒ There is two defective boards
⇒ Possible outcomes be - { (1,2) }
So,
P(X=2) = [tex]\frac{1}{10}[/tex] = 0.1
And
P(x) = 0 if x ≠ 0, 1, 2
SO, The pmf be
p(x) = 0.3 if x = 0
= 0.6 if x = 1
= 0.1 if x = 2
= 0 otherwise
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico hae reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from San Juan, Puerto Rico, find the probability of each of the following events.a. All five qualify for the favorable rateb. At least four qualify for the favorable rates
Answer:
a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates
Step-by-step explanation:
For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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.
70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
This means that [tex]p = 0.7[/tex]
Five residential subscribers are randomly selected from San Juan, Puerto Rico
This means that [tex]n = 5[/tex]
a. All five qualify for the favorable rate
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. At least four qualify for the favorable rates
This is
[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]
0.5283 = 52.83% probability that at least four qualify for the favorable rates
Karim began his day by drinking 1 1/8
cups of milk at breakfast. By the end of the day, he drank a total of 2 2/3
cups of milk.
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?
Answer:
A. 1⅛ + m = 2⅔
[tex] m = 1\frac{13}{24} [/tex]
Step-by-step explanation:
Cups of milk at breakfast = 1⅛
Cups of milk after breakfast = m
Total cups of milk by the end of the day = 2⅔
Thus:
Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast
Therefore:
1⅛ + m = 2⅔ (equation)
Solve for m
Subtract 1⅛ from each side
m = 2⅔ - 1⅛
Convert to improper fraction
m = 8/3 - 9/8
m = (64 - 27)/24 = 37/24
[tex] m = 1\frac{13}{24} [/tex]
A pack of 4 rolls of Charmin cost $3.64. A pack of 32 rolls of Charmin cost $20.80. How much cheaper per roll is it to purchase the bigger pack?
Answer:
.26 cents cheaper a roll
Step-by-step explanation:
to find this you would do 3.64/4 to get the price a roll which is .91
and then you would do 20.80/32 to get the price per roll which is .65
then to get the difference you would do .91-.65 to get .26
n a typical 2-pound bag of M&Ms contains 500 individual pieces, of which... 120 are blue, 70 are brown, 80 are green, 100 are orange, 60 are red, and 70 are yellow. If I randomly select one M&M candy from the bag, what is the probability that candy will be red?
Answer:
60/500 or 3/25
Step-by-step explanation:
f(x) = -x^2- 4x + 10
in the standard form
f(x) = a(x – h)^2 + k
Answer:
y = - ( x + 2 )² + 14
Step-by-step explanation:
f(x) = ax² + bx + c
f(x) = a(x - h)² + k (where (h, k) are coordinates of the vertex.
h = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~
f(x) = - x² - 4x + 10
a = - 1, b = - 4, c = 10
h = - [tex]\frac{-4}{2(-1)}[/tex] = - 2
k = - ( - 2)² - 4( - 2) + 10 = 14
(h, k) = ( - 2, 14 )
y = - ( x + 2 )² + 14
Find the area of of a regular octagon with side length 20 cm.
A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²
find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)
Answer:
13.20 yearsStep-by-step explanation:
Investment P = $3000Final amount F = $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?Formula:
F = P(1 + r/4)^(4t)Solve for t:
8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20I WILL GIVE BRAINLIEST!! PLEASE HURRY
Use the excerpt below taken from the Preamble of the United States Constitution to answer the following question:
"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."
—Public Domain
What aspect of Enlightenment influence on the early United States government does this excerpt of the U.S. Constitution illustrate? (5 points)
It gives power to the people rather than God, the Church, or the king.
It rejects the concept of social class in the American system.
It promotes the popular concept of the freedom of speech.
It encourages the development of the separation of church and state.
Answer:
B. It rejects the concept of social class in the American system.
Explanation:
The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.
This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.
Branliest to correct answer no guessing explain how you got your answer
Answer:
the answer is 1771! good luck!
Step-by-step explanation:
i attached an image with the steps!
A spinner has 3 equal sections that are purple, green, and blue. What is the probability of not landing on blue?
Answer:
P(not landing on blue section)=2/3
Step-by-step explanation:
Not landing on blue section = landing on one of the other sections
the remaining sections are 2 each one has a P=1/3
2 × 1/3 = 2/3
Answer:
66%
Step-by-step explanation:
2 divided by 3= 0.666666666 which is then converted to percent (66%)
A woman had $200. She went to a meatshop,
a bookstore and a drugstore. She spent four
times as much money at the meatshop as she
did at the drugstore. She spent $15 less at the
bookstore than at the drugstore. She then had
$5 left.
(a) Using $x to represent the amount she spent
at the drugstore, express in algebraic terms
(i) the amount she spent at the meatshop
(ii) the amount she spent at the bookshop
(b) Obtain an equation for the total amount
of money spent and hence calculate the
amount she spent at the drugstore.
What is the value of x?
Enter your answer in the box.
x =
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
The figure shows 2 right triangles, triangle K L J with right angle J and triangle L J M with right angle M. The measure of angle L K J is 30 degrees. The measure of angle L J M is 45 degrees. The length of side K L is 8 square root 2. The length of side L M is x.
Answer:
4
Step-by-step explanation:
I took the quiz, here's proof
Plz help me!! I’m having a bit of trouble
Answer:
x= 27
Step-by-step explanation:
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track,
24 people use the gym and the track.
9 people use all three facilities,
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?
Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
can somebody help me with math TwT:
question one 1: Which number(s) are 6 units from zero on a number line?
1. 3
2. 6
3. -6
4. 12
----------------------------------------------------------------------------
Question 2 ^^: Which comparison is not correct?
1. -3 < 4
2. 3 < 6
3. 1 > -9
4. -8 > -6
tell me the answers also for question 1 its either one or more than one answer ^^ ty and please don’t steal my points :(
1. 12 (i think)
i don't know about question 2
Answer: -8 > -6
Step-by-step explanation:
Please help anyone please
Answer:
A=(-5,-4)
B=(-5,-1)
C=(-2,-1)
Step-by-step explanation:
-3(4x - 2) = 42
A x=3
B x=-3
C x=3.67
D x=7
Answer:
B) x=-3
Step-by-step explanation:
-3(4x-2)=42
4x-2=42/-3
4x-2=-14
4x=-14+2
4x=-12
x=-12/4
x=-3
what is the answer to 1\2÷3
Answer:
0.16666666666
Step-by-step explanation:
1/2 ÷ 3
1/2/3
0.16666666666
Or
1/2 = 0.5
0.5 ÷ 3
0.16666666666
3/2 or 1.5. You have to multiply by the reciprocal.
-13 > x -43 solve the inequality and enter your solution as inequality comparing the variable to the solution
Answer:
30 > x
Step-by-step explanation:
-13 > x-43
-13 + 43 > x -43 + 43
30 > x
help me plz branniest to whoever is right
Answer:
x= -7, x=8
Step-by-step explanation:
factoring method..
f (x) = - x² + 12x - 20
= - x² + 10x + 2x - 20
= - x( x - 10 ) + 2( x - 10 )
= ( x - 10 ) ( -x + 2 )
=> x = 10, x = 2
WHO WANTS BRAINLIEST FOR HELPING ME!
also can u explain how to solve ;[
Answer:
20
Step-by-step explanation:
The equation for area of a triangle is base times height divided by two.
Hana is putting in a tile floor she needs to determine the angles that should be cut in the tires to fit in the corner that angle in the corner measures 90° one piece of the tire will have a measure of 38 degrees write an equation and use it to determine the measure of the unknown angle
Answer:
x = 52°
Step-by-step explanation:
I have attached an image to depict the given angles.
From the attached image, we can see that the unknown angle is x°.
Thus, since that corner is 90°, then;
x + 38 = 90
Subtract 38 from both sides to get;
x = 90 - 38
x = 52°