Answer:
Step-by-step explanation:
There are 6 qualifying letters, out of 26.
Thus, the probability that Luca will win through one wheel spin is
6/26, or 3/13, or 0.23.
This is a theoretical probability, since it could be calculated with the same result over and over. An experimental probability, on the other hand, would be the result if the probability stemmed from experimenting: making a list of all 26 letters and then spinning the wheel over and over again, perhaps 100 times, and recording how many times each of the 26 letters shows up.
Use an algebraic approach to solve the problem.
Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
Answer:
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Step-by-step explanation:
Use the formula for the mean: sum of elements / number of elements
Let x represent her first exam score.
Her second exam score can be represented by x + 11, since it was 11 points better than her first.
Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.
Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):
mean = sum of elements / number of elements
87 = ( (x) + (x + 11) + (x + 11) + 5 ) / 3
Add like terms and solve for x:
87 = (3x + 27) / 3
261 = 3x + 27
234 = 3x
78 = x
So, her first score was a 78.
Find her second score by adding 11 to this:
78 + 11 = 89
Find her third score by adding 5 to the second score:
89 + 5 = 94
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Is 3x – 1= 7 and
3x = 8 equivalent
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Take the 1st equation & solve it :-
[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]
Now, take the second equation :-
[tex]3x = 8[/tex]
[You can't further solve this equation]
So, from the 2 solved equations we can see that,
[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]
✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
a sum of money was equally distributed among some boys
had there been 10 boys more
Answer:
I think I know what question you are trying to write because it sounds like the question I did years ago.
It is Rs 200
Step-by-step explanation:
Your welcome! :)
one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.
Answer:
1/4x = 15/16
Step-by-step explanation:
1/4x = 15/16
56:05
What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
O x= -6
=)
O x=-4
O y = -6
O y = -4
10 x
(-4×-6) =-24÷6=4
24÷4=6. x=4. x=6
Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdrawals. Write and solve the equation to find the amount of money in his account after 4 years. Round to the nearest cent.
Answer: The amount of money in his account after 4 years = $7,658.73
Step-by-step explanation:
If interest is compounded annually, then formula to compute amount :
[tex]A=P(1+r)^n[/tex], where P+ principal value, r= rate of interest, n= time ( in years).
As per given,
P= $6700 , r = 3.4% =0.034, n =4
[tex]A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73[/tex]
Hence, the amount of money in his account after 4 years = $7,658.73
2.) What is the
probability that this
spinner will not
stop at green?
A.) 5/6
B.) 1/6
C.) 12
D.) 1/3
Answer:
probability would be 5/6.
Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11
Answer:
Becky's age is equal to 20.
Step-by-step explanation:
The given expression is :
(7+11)-(8÷2)
Using Bodmas rule to solve it furthur,
(18)-4 = 14
According to the given condition, let the age is A.
The value is 6 less than her age,
14 = A-6
or
14+6 = A
A = 20
Hence, Becky's age is equal to 20.
Help what’s the answer ?
Answer:
c
Step-by-step explanation:
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
what is the slope of a line perpendicular to the line whose equation is x-3y=-27
(Please help, Very desperate and I have a limited amount of time to get this done please hurry asap)
Will give brainliest to first who answers
Answer:
Pic1 answers:
P(blue) = 4/26,
P(yellow or green) = 14/26
P(purple) = 0.0%
P(red or green) = 18/26
P(not pink) = 26/26
P(not blue) = 22/26
Pic2 answers:
P(u) = 1/12
P(Vowel) = 6/12
P(a,b,c,d,e) = 4/12
P(Not A) = 10/12
P(vowel or consonant) = 12/12
P(not an m,s,t) = 9/12
What is 5/2x + 2y = 5
Answer:
y= -x+1/2
Step-by-step explanation:
help plz will mark as brainliest
Answer:
5
Step-by-step explanation:
since x + 3 is a factor of the polynomial that means -3 is a value of x
substitute x = -3
next see attachment
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-8 X 3 = -24 + 9 = -15 or you could do -24+9=-15
Step-by-step explanation:
There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?
Answer:
32 days
Step-by-step explanation:
Derek
24 then 48 then 72
Emily
16 then 32 then 48
16 + 16 =32
Answer:
48 days
Step-by-step explanation:
answer is in photo above
find the lowest common multiple of 24 and 16
IF A QUADRATIC FUNCTION OPENS UPWARD, DOES IT HAVE A MAXIMUM OR MINIMUM?
Answer: It will have a minimum.
Solve the system of equations below.
X-2y=3
2x - 3y=9
Answer:
(9,3)
Step-by-step explanation:
Hope this helps
Data is collected on the number of ice cream cones sold in a shop on a certain day and the number of people wearing sunglasses visiting the shop that same day. What type of relationship is most likely to exist between these two variables?
1. positive correlation and causal relationship
2. negative correlation and causal relationship
3. positive correlation but not causal relationship
4. negative correlation but not causal relationship
Answer:
3. positive correlation but not causal relationship
Step-by-step explanation:
A positive correlation is when one factor increases, the other factor increases as well.
A negative correlation is when one factor increases, the other factor decreases.
A causal relationship is when one factor causes the other factor change in a certain way (i.e. increase or decrease).
More people buy ice cream as the day becomes hotter and sunnier. This also applies to people choosing to wear sunglasses. Therefore, there is a positive correlation between the two (because both increase). However, this is not a causal relationship because the cause of both is the hotter and sunnier day.
I hope this helps! If you have any question, feel free to as. :)
Please Help!!!!!!!!!
Answer:
The answer is D. 3
If a and b are two distinct rational numbers, then which of the following statements is true?
a+b is always a rational number while a−b is not always a rational number.
Both a+b and a−b are not always rational numbers.
Both a+b and a−b are always rational numbers.
a+b is not always a rational number while a−b is always a rational number.
pls add explanation if possible
Answer:
Both are rational.
Step-by-step explanation:
As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.
And we know the product of two integers is an integer
p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.
Thus a+b and a-b is rational.
The picture is above I’ll mark as brainliest.
Answer:
A. 42 [tex]u^{2}[/tex]
Step-by-step explanation:
The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.
Finding the area:
length × width
= 7 × 6
= 42 [tex]u^{2}[/tex]
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
13/20
Step-by-step explanation:
To add fractions without the common denominator, you have to make them equal so
1/4 x 5 = 5/20
2/5 x 4 = 8/20
5/20 + 8/20 = 13/20
Answer:
13/20 miles.
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{2}{5}[/tex]
= [tex]\frac{5}{20} +\frac{8}{20}[/tex] (find the common denominator and convert the fractions)
= [tex]\frac{13}{20}[/tex]
13/20 is the most simplified it will go, so you will have walked 13/20 miles.
Hope this helps!
Which expression is equivalent to 6^-3
Answer:
[tex] {6}^{ - 3} \\ = \frac{1}{ {6}^{3} } \\ = \frac{1}{216} [/tex]
Answer:
1/6^3
Step-by-step explanation:
6^-3
1/6^3
Note if any base has it's power negative then just do its reciprocal the exponent will be positive.
For example:
5^-y
1/5^y
-31,-22,-33 find the 35th term
Answer:
easy bro go and use m-a-t-h w-a-y
Step-by-step explanation:
it's going to help
ANSWER FAST PLZZZZZ Give examples of a simple interest amortized loan with fixed monthly payments.
this is amortization or something
The fixed monthly payment for this loan is $186.07.
Each month, the borrower will make a payment of $186.07, which will include both interest and principal.
The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have,
Here is an example of a simple interest-amortized loan with fixed monthly payments:
Loan amount: $10,000
Interest rate: 5% per year (0.42% per month)
Loan term: 5 years (60 months)
To calculate the fixed monthly payment, we can use the formula:
P = (Pv x r) / (1 - (1 + r)^(-n))
where:
P = monthly payment
Pv = present value of the loan (the amount borrowed)
r = monthly interest rate
n = total number of payments
Substituting the given values,
P = (10,000 x 0.0042) / (1 - (1 + 0.0042)^(-60))
P = $186.07 (rounded to the nearest cent)
Therefore,
The fixed monthly payment for this loan is $186.07.
Each month, the borrower will make a payment of $186.07, which will include both interest and principal.
The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
Hey im confused on how to solve this. Can Anyone help me?
Answer:
The minimum unit cost is $9374.
Step-by-step explanation:
The unit cost C for making x engines is given by the quadratic function:
[tex]C(x)=0.3x^2-162x+31244[/tex]
We want to determine the minimum unit cost.
Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 0.3, b = -162, and c = 31244.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]
In other words, in order to achieve the minimum cost, only 270 engines must be made.
Then to find the minimum cost, substitute the value back into the function. So:
[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]
The minimum unit cost is $9374.
35 points. Brainliest gets double the points.
Use the table to answer the question.
The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 530 students in the school, approximately how many would be expected to choose chicken nuggets?
a. 16 students
b. 40 students
c. 80 students
d. 106 students
Answer:
in the survey, 16 out of 80 students who where asked favored chicken nuggets.
so we need to calculate like this:
530 * 16/80
=530 * 1/5
=530/5
=106
hope this helps your understanding, wish you good grades
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
32m^2
Step-by-step explanation:
32m^2
8*4 = 32
Have a nice day! :-)
