Answer:
Answer given below
Step-by-step explanation:
1. [tex]\frac{1}{5}x + \frac{1}{3} - \frac{2}{5}x = \frac{-1}{5}x + \frac{1}{3}[/tex]
2. [tex]\frac{1}{5} x + \frac{1}{3} + \frac{2}{5} x = \frac{3}{5} x + \frac{1}{3}[/tex]
3. [tex]\frac{2}{5}+ \frac{2}{3}x- \frac{1}{5} = \frac{2}{3}x+ \frac{1}{5}[/tex]
probability of an even number both times
Answer:
1/4
Step-by-step explanation:
The possible outcomes are :
1,2,3,4,5,6
We can see that there is a 3/6 (or 1/2) chance the outcome is even
Let E= odds of getting an even
we're looking for E∩E
Because each roll is independent of the last we can multiply to find their intersection
.5*.5= .25 or 1/4
Need help ill give brainlest!!!!!!!!! HURRYYYY
Answer:
4
Step-by-step explanation:
hmm i dont know this is a pretty hard 1
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each person get ?
Answer:
18 apples
Step-by-step explanation:
If 18 people each get 12 apples, then the total number of apples is 18*12=216.
If there were 6 fewer people, there would 18-6=12 people.
To split the total 216 apples between 12 people, so 216/12=18.
Each person would get 18 apples.
Given that f(x) = x^2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.
Answer: fx + gx
f(x) =x^2 -13x + 36
g(x) = x - 9
What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 5)
Point (21, 1)
Step 2: Solve for slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1-5}{21-9}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{-4}{12}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{-1}{3}[/tex]PLEASE HELP WILL MARK BRAINLYIST HELP
brainlest e answ eeeeee
Answer:
1/4
Step-by-step explanation:
The fraction can be reduced using 3
3/3 = 1
12/3 = 4
3/12 = 1/4
Answer:
1/4
Step-by-step explanation:
factors of 3: 1, 3
factors of 12: 1, 2, 3, 4, 6, 12
GCF is 3
3 / 3 x 12 / 3 =
1 / 4
A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and selects a random sample of 101 Dalmatian birth records. He examines each birth record and identifies the number of puppies that were born in the litter. The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter and a standard deviation of 2.1 puppies per litter. He would like to estimate, with 99% confidence, the mean number of puppies born per litter for all Dalmatian births. Which of the following is the correct interval?
a. 6.2 ± 2.576(0.21)
b. 6.2 ± 2.576(2.1)
c. 6.2 ± 2.626(0.21)
d. 6.2 ± 2.626(2.1)
e. The confidence interval
Answer:
c. 6.2 ± 2.626(0.21)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 101 - 1 = 100
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.626
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
In which [tex]\overline{x}[/tex] is the sample mean while M is the margin of error.
The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.
This means that [tex]\overline{x} = 6.2[/tex]
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Thus, the confidence interval is:
[tex]\overline{x} \pm M = 6.2 \pm 2.626(0.21)[/tex]
And the correct answer is given by option c.
Enter the correct answer in the box. 1 The function Rx) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 3. What is the equation of function g? Substitute a numerical value for k into the function equation.
Answer:
8
Step-by-step explanation:
Question 11:
A diesel train traveled to Johannesburg and back. The trip there took 6 hours and
the trip back took 9 hours. It averaged 23 miles per hour faster on the trip there
than on the return trip. Find the diesel train's average speed on the outbound (first
part traveling to Johannesburg) trip.
Answer:
69 miles per hour
Step-by-step explanation:
Given
Trip to:
[tex]t_1 = 6[/tex] --- time
[tex]s_1 = 23 + s_2[/tex]
Trip back
[tex]t_2 = 9[/tex]
Required
Determine the average speed to Johannesburg
Average speed is calculated as:
[tex]speed = \frac{distance}{time}[/tex]
Make distance the subject
[tex]distance = speed * time[/tex]
Since distance is constant, then:
[tex]s_1 * t_1 = s_2 * t_2[/tex]
This gives:
[tex](23 + s_2) * 6 = s_2 * 9[/tex]
Open bracket
[tex]138 + 6s_2 = 9s_2[/tex]
Collect like terms
[tex]9s_2 - 6s_2 = 138[/tex]
[tex]3s_2 = 138[/tex]
Solve for s2
[tex]s_2 = 138/3[/tex]
[tex]s_2 = 46[/tex]
Recall that:
[tex]s_1 = 23 + s_2[/tex]
[tex]s_1 = 23 + 46[/tex]
[tex]s_1 = 69[/tex]
Consider the arithmetic sequence:
3,5,7,9,..,
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n)=3+2n for n≥0
b(n)=3n for n≥1
c(n)=-1+2n for n≥2
d(n)=-6+3n for n≥3
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
What is arithmetic sequence?It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".
The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.
Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].
Given arithmetic sequence
[tex]3, 5, 7, 9,.....[/tex]
n is an integer
[tex]a = 3[/tex]
By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.
So, the correct option is A
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]
Thus, [tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
Find out more information about arithmetic sequence here
https://brainly.com/question/15412619
#SPJ3
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
PART 1:
In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )
PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.
Answer:
[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]
[tex](b)\ RT = 11.1[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a): Equation to determine RT
To do this, we apply sine formula
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(46) = \frac{8}{RT}[/tex]
Solving (b): Solve the equation
[tex]\sin(46) = \frac{8}{RT}[/tex]
Make RT the subject
[tex]RT = \frac{8}{\sin(46)}[/tex]
[tex]RT = \frac{8}{0.7193}[/tex]
[tex]RT = 11.1[/tex]
Plz help Desperate, question in photo
Answer:
The answer is 6 and 12
Step-by-step explanation:
1x3= 3
6×3= 18
2×3=6
4×3=12
Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a candidate is not trustworthy. How likely is the result above to happen, if the sample is representative of the population?
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
what's ur fav show I'm looking for recommendations
Answer:
rn its currently gossip girl and Miraculous...but im watching game of thrones rn and I AM OBSESSED
Step-by-step explanation:
Answer:
For Anime Shows, Danganronpa, Naruto, Fruits Basket, and Attack on Titan! I love them all.
And for like just TV shows, Miraculous
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
Rhombus
Square
Step-by-step explanation:
Given
Attached quadrilateral
Required
Select the type(s) of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Also:
[tex]DE = EF =FG = GD[/tex]
Since all 4 sides are equal, then it is neither a parallelogram nor a trapezoid
Hence, the shape is either a rhombus or a square
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit
in your answer.
4m
0
DO
BO
וח
m
m
2 m
х
4 m
3 ?
1
1
5m
Answer:
Step-by-step explanation:
3. Find the lateral surface area of the figure
below.
No links please I really need an answer
Answer:
284 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of triangle = bh/2 = 4(8)/2 = 16
Area of both triangles = 32
Area of left face = bh = 8(12) = 96
Area of right face = bh = 9(12) = 108
Area of bottom = bh = 4(12) = 48
Total lateral area = 32 + 96 + 108 + 48 = 284
A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).
What is the measure of the smallest angle in the triangle?
O A. 17°
O B. 190
O c. 25°
OD. 57°
Answer:
c. 25°
Step-by-step explanation:
Sum of angles in a triangle:
The sum of the measures of the angles of a triangle is 180º.
In this question:
Angles of 3x, 2x-13 and 5x + 3.
The sum is 180º. So
[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]
[tex]10x - 10 = 180[/tex]
[tex]10x = 190[/tex]
[tex]x = \frac{190}{10}[/tex]
[tex]x = 19[/tex]
Measure of each angle:
3x = 3(19) = 57º
2x - 13 = 2(19) - 13 = 38 - 13 = 25º
5x + 13 = 5(19) + 3 = 95 + 3 = 98º
The smallest angle is 25º, and the correct answer is given by option c.
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
PQRS. is a rectangle . find angle OPS if angle QOR is given
Please give full explanation i will mark you as brain list plzz kuch bakwaas mat likhana warna report kar dungi
Answer:
[tex]\angle OPS = 142^\circ[/tex]
Step-by-step explanation:
Given
The attached rectangle
[tex]\angle QOR = 142^\circ[/tex]
Required
Determine [tex]\angle OPS[/tex]
[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles
Hence:
[tex]\angle OPS = 142^\circ[/tex]
 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Image above
Answer:
Its the second one because
Step-by-step explanation:4/6-473*329+4= y=x+3
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
4(x+2) help please.
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
A random survey at Disney World found that of 200 people
surveyed, 104 responded that their favorite Disney character
is Mickey Mouse. Based on that survey how many visitors can
we assume like Mickey Mouse if there are 25,000 people
visiting the park?
Answer:15,400 If u take the equation then the matric rule in the olastrophy and then use clastrophy you get the answer pretty simple
THE ANSWER IS :13,000