Answer:
117
Step-by-step explanation:
The average of all 7 people is the total weight of the original 6 people, plus the weight of the 7th person, all divided by 7.
For problems like this involving an average of numbers that are "close" together, here is a different strategy for solving the problem that you might like to try.
The original 6 people have an average weight of 173, which is 8 pounds more than the average of all 7 people. So all together, the weight of those 6 people is 6*8=48 pounds over the 165 average. That means the 7th person's weight must be 48 pounds below the 165 average.
So the weight of the 7th person is 165-48 = 117 pounds.
Answer:
The 7th person weighted 117
Step-by-step explanation:
Average Value
The mean or average of a number n of measurements is defined as the sum of all values divided by n.
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}\\[/tex]
The question gives us some input data. The average weight of n=6 people is [tex]\bar x=173[/tex]. With this information, we can set this relationship:
[tex]\displaystyle 173=\frac{\sum x_i}{6}[/tex]
From the above equation, we know the sum of the first 6 persons:
[tex]\sum x_i=6*173=1,038[/tex]
When a 7th person gets on, the new average gets down to 165 and n=7. The equation for the new average is:
[tex]\displaystyle 165=\frac{\sum x_i+X}{7}[/tex]
Note we have a new summand to the numerator. It's the weight of the 7th person. Let's solve for X:
[tex]\displaystyle 165=\frac{1,038+X}{7}[/tex]
Multiply by 7:
[tex]7*165=1,038+X[/tex]
Operate and swap sides:
[tex]1,038 +X=1,155[/tex]
[tex]X=1,155-1,038=117[/tex]
The 7th person weighted 117
jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they drove 111 miles. And, on Thursday, they drove 588 miles. what is the total number of miles that Jake's family traveled
Write each mixed number as an improper fractions 4 2/7
Answer:
30/7 is the answer yw
Step-by-step explanation:
what is 69 to the power of 69
Answer:
goobaaaaa
Step-by-step explanation:
Answer:
7.59604031⋅10 to the power 126
Step-by-step explanation:
Solve for x
5x – 2(x+1)= 1/4
Enter your answer as a fraction in simplest form in the box.
X =
Basic
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Write equation
5x - 2(x + 1) = 1/4
Step 2: Solve for x
Distribute -2: 5x - 2x - 2 = 1/4Combine like terms: 3x - 2 = 1/4Add 2 to both sides: 3x = 9/4Divide both sides by 3: x = 3/4Step 3: Check
Plug in x to verify it's a solution.
5(3/4) - 2(3/4 + 1) = 1/4
15/4 - 2(7/4) = 1/4
15/4 - 14/4 = 1/4
1/4 = 1/4
1. What is the slope of the following equation? *
y= 3x - 3
A m=2
B m=1/2
Cm=3
Dm=-3
6/15 * 1/2 =
Help please
[tex]0.008 \div 0.62[/tex]
help me solve this ploblem
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test.
A. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.
Answer:
The correct option is (B).
Step-by-step explanation:
A type-I-error occurs when we discard a true null-hypothesis (H₀).
The hypothesis in this case are:
H₀: The proportion of Americans that have seen a UFO is 0.002, i.e. p = 0.002.
Hₐ: The proportion of Americans that have seen a UFO is less than 0.002, i.e. p < 0.002.
A type I error will be committed, if we reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
The correct option is (B).
Preview Activity 2.4.1. Consider the function f ( x ) = tan ( x ) , and remember that tan ( x ) = sin ( x ) cos ( x ) . What is the domain of f ? Use the quotient rule to show that one expression for f ′ ( x ) is f ′ ( x ) = cos ( x ) cos ( x ) + sin ( x ) sin ( x ) cos 2 ( x ) . What is the Fundamental Trigonometric Identity? How can this identity be used to find a simpler form for f ′ ( x ) ? Recall that sec ( x ) = 1 cos ( x ) . How can we express f ′ ( x ) in terms of the secant function? For what values of x is f ′ ( x ) defined? How does this set compare to the domain of f ?
Answer:
Step-by-step explanation:
Given the function f(x) = tan (x)
From trigonometry identity, tan (x) = sin(x)/cos(x)
f(x) = sin(x)/cos(x)
Using the quotient rule to find the derivative of the function, we will have;
f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x
f'(x) = cos²x - sin²x/ cos²x
Divide through by cos²x
f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x
f'(x) = 1 + sin²x/cos²x / 1
f'(x) = 1 + (sin²x/cos²x)
f'(x) = 1 + tan²x
From trig identity, 1 + tan²x = sec²x
Hence, f'(x) = sec²x
Hence the expression f'(x) in terms of the secant function is sec²x
f'(x) = 1/cos²x
For the function to be defined, it means that cos²x ≠ 0
cos²x ≠ 0
cos x ≠ 0
x ≠ cos⁻¹0
x ≠ 90⁰
Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will becomes f'(0) = 1/cos²0 = 1/1 = 1.
Hence the function is defined at 0≤x<90
Zach's baseball team is raising money for a charity. Zach is tasked with raising at least $250. If represents the amount of money Zach raises, which inequality represents this situation?
a. x>250
b. x<_250
c. x>_250
d. x<250
Answer: x ≥ 250
Step-by-step explanation:
Hewo can anyone help
Answer:
Hewo can anyone help
Step-by-step explanation:
I would go with the last option,it looks like it makes sense.
Hope that helped,I have snap if you need anything else :)
Answer:
The last one
Step-by-step explanation:
Negative seven is less than negative six.
True or False
Answer:
true
Step-by-step explanation:
negatives keep getting smaller and smaller
Answer:
false
Step-by-step explanation:
negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value
B.6-(5x-9)2 for x=1
Answer:
14
Step-by-step explanation:
Step 1:
6 - ( 5x - 9 ) 2 Equation
Step 2:
6 - ( 5 ( 1 ) - 9 ) 2 Input x
Step 3:
6 - ( 5 - 9 ) 2 Multiply
Step 4:
6 - ( - 4 ) 2 Subtract
Step 5:
6 - ( - 8 ) Multiply
Answer:
14 Add
Hope This Helps :)
Answer:
14
Step-by-step explanation:
1) 6-(5[1]-9)2
2) 6-(5-9)2
3) 6-(10-18)
4) 6-(-8)
5) 14
Four friends went to the movies.
Each person bought a movie ticket, and the total the four friends spent on the tickets was $52.
Which equation can be used to find the cost of each tickets
A) 4+x=52
B) x - 4= 52
C) 4x=52
D)x/4=52
The equation that can be used to find the cost of each ticket is 4x = 52.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 6 is an equation.
We have,
Number of people who bought the tickets = 4
The total cost of tickets = $52
Now,
The cost of each ticket.
= 52 ÷ 4
= 13
Now,
Cost of one ticket = x
4x = 52
x = 52/4 = 13
Thus.
The cost of each ticket is $13.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Please help
For the sequence 12,8,4...
write the explicit rule..
Find the 100th term...
Is this a function or relation? Why?
Answer: ion evn kno cuh
Step-by-step explanation:
Answer:
This is arithmetic sequence and the common difference is equal to -4.
Step-by-step explanation:
If yuh just want the answer here, not explained
WILL GIVE BRAINLIEST!! Which graph shows a slope of 2 and a y-intercept of -2?
Answer:
The second graph (where the line goes through the points -2 and 1)
Step-by-step explanation:
A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.
Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.
3. f(x) = x2 + 4x - 2
Answer:
f(x)= -(x-2)^2+2
Step-by-step explanation:
the same valuve needs the be added to both sides
f(x)+?= -x^2+4x+?-2
to complete the square -x^2+4x-4= -(x-2)^2 add the -4 to the expression
f(x)+?= -x^2+4x-4-2
since -4 was added to the right side, also add -4 the the left side
f(x)-4= -x^2+4x+?-2
now factor out the negative sign from the expression
f(x)-4= -(x^2-4x+4)-2
using a^2-ab+b^2=(a-b)^2
f(x)-4= -(x-2)^2-2
move the constant the the right side and change its sign
f(x)= -(x-2)^2-2+4
now calculate the sum
f(x)= -(x-2)^2+2
Mary Jo takes her son to get a haircut at the barbershop. The total cost of the haircut is $12.60, including a 20% tip. How much was the haircut before the tip?
Based on the total cost of the haircut with the tip included, the cost of the haircut before the tip was $10.50
How to find the cost of the haircut?The cost of the haircut give of $12.60 is merely the cost of the haircut including the 20% tip.
To find the cost of the haircut before the tip was included, assume that it is x. The relevant expression would then be:
Total cost including tip = x × (1 + tip percentage)
Solving for the haircut cost before the tip gives:
12.60 = x ( 1 + 20%)
12.60 = 1.20x
x = 12.60 / 1.20
x = $10.50
Find out more on the cost before tip at https://brainly.com/question/7171223
#SPJ1
An elevator steadily descends 500 feet in 20 seconds. How would you express the change in the elevator's height per second?
Answer:
The elevator goes 25 feet per second.
Step-by-step explanation:
The elevator goes 500 feet every 20 seconds so to find how hogh it gets to in 1 second, you have to use the equation 500 divided by 20 to get 25.
Hope this helps idk if it will tho.
Factorise 4x^2+28x^3
Can someone help me please
Answer:
reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th
Step-by-step explanation:
The cost of 4 golf balls is $10. How much would it cost for 20 golf balls?
Answer:
50$
Step-by-step explanation:
4*5=20
PLEASE HELP ME IM BEING TIMEDD
Answer: There are 7 possible arrangments
Step-by-step explanation:
If you try to break down 150 you'll find that you'll be able to divide/ multiply it by 10,15,2,3,12,5,50
Tyler then takes his remaining paper and does it again. He cuts the paper to create four equal pieces, then hands one piece each to the others and keeps one for himself. What fraction of the original piece of paper does each person have now?
Answer:
Each person has 1/4 of a peice of paper
Step-by-step explanation: Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper
8-3 is even or odd ammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
ummmm... odd
Step-by-step explanation:
Odd
Because if you try to multiply it would be it nothing would be equal to 8
Given m||n, find the value of x.
t
>m
(7x-1)
(9x+5)
Answer:
Step-by-step explanation:
-13m-or+t m(484m+63t)/63m
Help please I’m stuck on a few of these
Answer:
27
Step-by-step explanation:
Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.
Hope this helps!
INVERSE FUNCTIONS
If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.
BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.
A line passes through the points (3, -2) and (5, 2). Which is the equation of the line?
a
y = negative one-half x + 1
b
y = one-half x + 7
c
y = 2x + 6
d
y = 2x – 8
Option D : y= 2x-8 is the line passing through the given points
Help with this plz plz ASAP
If [tex]\sf x^{(x^4)} = 4,[/tex] then find the value of [tex]\sf x^{(x^2)} + x^{(x^8)}.[/tex]
By inspection, we can see that x = ±√2, since (±√2)⁴ = 2² = 4.
In particular, if [tex]x^n=n[/tex], which means [tex]x=n^{\frac1n}[/tex], then [tex]x^{x^n}=x^n=n[/tex].
Let x = √2. Then
[tex]x^{x^2}+x^{x^8}=(\sqrt2)^{(\sqrt2)^2}+(\sqrt2)^{(\sqrt2)^8}[/tex]
[tex]x^{x^2}+x^{x^8}=(\sqrt2)^2+(\sqrt2)^{16}[/tex]
[tex]x^{x^2}+x^{x^8}=2+256[/tex]
[tex]x^{x^2}+x^{x^8}=\boxed{258}[/tex]
