Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:
[tex]a_{n} =a_{1} +(n-1)d[/tex]
Where [tex]a_{1}[/tex] is the first term, [tex]a_{n}[/tex] is the nth term, and [tex]d[/tex] is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do [tex]10-2[/tex], which is [tex]8[/tex] , or the common difference. Since we have everything we need, it can be plugged into the equation:
[tex]a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482[/tex]
So, the 61st term is 482.
Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight
Answer:
The answer is "Option 5"
Step-by-step explanation:
Please find the complete question in the attached file.
Throughout the above output the regression equation is:
Delivery cost [tex]=0.469\times weight +9.617[/tex]
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?
A: a gain of $0.45
B: a gain of $0.55
C: a loss of $0.55
D: a loss of $0.45
===============================================
Explanation:
Let x be the net winnings the customer gets
Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.
The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize
Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95
The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.
This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.
Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.
----------------
Here's another way to see why this works:
The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.
What is the area of the parallelogram below?
7 in2
14 in2
18 in2
28 in2
Answer:
14 (B)
Step-by-step explanation:
Area = L * h
L = 7 in^2
h = 2
Area = 7 * 2
Area = 14 in^2
Answer:
14
Step-by-step explanation:
Did lesson
is 2(9x) and 18x
Equivalent?
Explain why
3X TO THE POWER 6 * 2Y TO THE POWER 12 =??
9514 1404 393
Answer:
6·x^6·y^12
Step-by-step explanation:
(3x^6)(2y^12) = (3)(2)x^6·y^12 = 6·x^6·y^12
Answer:
6 x ⁶ y ¹²
Step-by-step explanation:
= ( 3 x ⁶ ) ( 2 y¹² )
= ( 3 ×2 ) x ⁶ y ¹²
= 6 x⁶ y ¹²
what is the integer of-2
Answer:
-2
Step-by-step explanation:
The integer of - 2 is - 2 only as integers can be positive and negative whole numbers
i need help on #10. very confused
Step-by-step explanation:
[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}[/tex]
[tex]\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}[/tex]
[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)[/tex]
[tex]\:\:\:\:\: \displaystyle= 2x[/tex]
help pls? asap. pls and ty :)
Answer:
a
Step-by-step explanation:
1/2x-30aaaaaaaaaaaaaaaa
Solve the 5 questions!!!
Answer:
What is the answer you're looking for?
Step-by-step explanation:
If 8 x - 4 = 6 - 3 x then x =
Answer:
4th option is correct
Step-by-step explanation:
[tex]8 x - 4 = 6 - 3 x[/tex]
[tex]8x−4+3x=6[/tex]
[tex]11x−4=6[/tex]
[tex]11x=6+4[/tex]
[tex]11x=10[/tex]
[tex]x = \frac{10}{11} [/tex]Hope it is helpful...Answer:
option 4 ,
x=10/11
is the answer of your question
explanation is attached below .
hope it is helpful to you
Can someone help me with this question please..
Answer:
The answer is (3 ,5)
Step-by-step explanation:
Please give brainliest!!!
Answer:
(3,5)
Step-by-step explanation:
order pair of A is (3,5)
3 is x component.
5 is y component.
- b/0.1 +2.9= -35.1 no links or anything just the answer
Answer:
b = 3.8
Step-by-step explanation:
- b/0.1 +2.9= -35.1
Subtract 2.9 from each side
- b/0.1 +2.9-2.9= -35.1-2.9
-b/.1 = -38
Multiply each side by -.1
-b/.1 * (-.1) = -38 *(-.1)
b = 3.8
Which expression is equivalent to square root 343x^9y^12z^6?
Answer:
Step-by-step explanation:
343: = 7 * 7 * 7
x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x
y^12: = y^6 * y^6
z^6: = z^3 * z^3
So the square root is
√343 = 7 √7
√x^9 = x^4√x
√y^12 = y^6
√z^6 = x^3
The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.
So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.
x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.
So the answer is
7 * x^4 * y^6 * z^3 * √7x
Do 5 feet+ 12 feet + 13 feet make a. Right triangle
Answer:
yes
Step-by-step explanation:
Pythagoras
in a right triangle it is always
c² = a² + b²
with c being the side opposite of the 90 degree angle.
5² = 25
12² = 144
13² = 169
so, because indeed 13² = 5² + 12², these three lines make a right triangle.
How many plants are shorter than 27 inches?
A box has a height of 6 inches.
6 in.
Base
The area of the base is 40 squbere inches.
What is the volume of the box?
Pleaseee
Answer:
the awnser is 216
Step-by-step explanation:
PLEASE HELP ME
Solve:
24t = 72
OA) t= 3
OB) t= 4
OC) t=- 2/1
OD) t= 1/3
Answer:
t =3
Step-by-step explanation:
24t = 72
Divide each side by 24
24t/24 = 72/24
t=3
Answer:
A
Step-by-step explanation:
24 t = 72
divide both sides by 24
Thus, t = 72/24
t = 3
Bye ! :-)
How many different ID cards can be made if there are 8 digits on a card if digits can be repeated?
Answer:
10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers
Step-by-step explanation:
hope it works.
I need some help on this math question. Please explain how you found the answer too!
Answer:
A
Step-by-step explanation:
The table represents a proportional function which has a rate of proportionality equal to 5
In fact
5:1 = 5
15 : 3 = 5
25 : 5 = 5
35 : 7 = 5
If we make 90 : 18, the result is 5, so this dates can be part of the table
HELP ME ASAPPP 25 POINTS!!!
The slope of the line parallel is -2/3 and the slope of the perpendicular one is 3/2.
PLEASE HELP!
WILL MARK BRAINLIEST!!!
If AC=12cm, what is the area sector ACB to the nearest whole number?
Thank you! Multiple choice!
Answer:
38
Step-by-step explanation:
Have a nice day :)
Which equation graphs as the parabola?
A) Ax) = x² + 4
B) f(x) = x2 + 2x + 4
C) Ax) = x² + 5x- 4
OD) Ax) = x² + 3x-4
Perform the operation and, if possible, simplify
21/20 - 4/15
Answer:
47/60
Step-by-step explanation:
Find the LCM and multiply to get there.
LCM is 60
63/60-16/60
47/60
EASY QUESTION!!!!!!!!!! PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
What is one benefit of displaying data from multiple samples in a graph or table?
It can save time from doing number crunching and analysis because it's an easy to see visual.
look at the image and I need help with that
Answer:
A - The sum of a unknown value times 3 and 5. B - The sum of a unknown number subtracted by 2 being multiplied by 4.
Step-by-step explanation:
A - The sum of a unknown value times 3 and 5. B - The unknown value subtracted by 2, then multiplied by 4.
Step-by-step explanation:
So, lets pick apart the expressions.
We know the variables will be unknown values:
3unknown value + 5
We know that a number in front of a variable is multipication, so:
3 times unknown value + 5
We know there is a addition symbol, which means a sum of two numbers.
So:
3 times a unknown value and the sum of 5
5 is just 5, so we can write it as it is.
This might be read as 3 times both the 5 and unknown value, so we want to make sure they are seperate:
3 times a unknown value plus by 5
So basically, instead of talking about the sum of the two numbers, I used plus so that the numbers are seperate. THis way there is no confusion in the answer.
Next we have 4(x-2)
So first off, x is our unknown value:
4(unknown value-2)
- is subtraction, so:
4(unknown value subtracted by 2)
2 remains as 2.
4 is multiplying the parenthese, so basically, the x-2 is done first. THen it is multiplied by 4. This means the multiplied by 4 should come after the unknown value si subtracted by 2:
The unknown value subtracted by 2, then multiplied by 4.
I used a then to seperate the unkownv alue subtracted by 2 and the multiplied by 4.
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches
Answer:
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
Step-by-step explanation:
To solve this question, we use the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 109.0 inches, and a standard deviation of 12 inches.
This means that [tex]\mu = 109, \sigma = 12[/tex]
Sample of 25.
This means that [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex]
What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?
This is the p-value of Z when X = 112. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{112 - 109}{2.4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
16 men take 10 days to build 2 bedroom houses. How long will it take 10 men to build 4 bedroom houses?
Answer:
chicken nuggets are good
Step-by-step explanation:
chicken but nuggets who t f thought of this
Solve the following equations for x,
if 0 ≤ x ≤ 2π.
i. 3csc² x – 4 = 0
ii. 4cos² x + 2cos x – 2 = 0
help me solve pls
(i) 3 csc²(x) - 4 = 0
3 csc²(x) = 4
csc²(x) = 4/3
sin²(x) = 3/4
sin(x) = ± √3/2
x = arcsin(√3/2) + 2nπ or x = arcsin(-√3/2) + 2nπ
x = π/3 + 2nπ or x = -π/3 + 2nπ
where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.
In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.
(ii) 4 cos²(x) + 2 cos(x) - 2 = 0
2 cos²(x) + cos(x) - 1 = 0
(2 cos(x) - 1) (cos(x) + 1) = 0
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
2 cos(x) = 1 or cos(x) = -1
cos(x) = 1/2 or cos(x) = -1
[x = arccos(1/2) + 2nπ or x = 2π - arccos(1/2) + 2nπ] or x = arccos(-1) + 2nπ
[x = π/3 + 2nπ or x = 5π/3 + 2nπ] or x = π + 2nπ
For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.
jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30
Answer:
C = 1390
equation :
C=760+21g
Variables understanding
g = guest
c= cost
We are Finding C
If C is unknown
and c = 30.
C=760+21 x 30
C = 760+630
C = 1390
Answer:
1389
Step-by-step explanation:
hope this helps alot
Trong không gian Oxyz, cho a b c 2;2;0 , 2;2;0 , 2;2;2 .
Giá trị của a b c
bằng
Answer:
good question
Step-by-step explanation: