Given:
The equation is
[tex]\log_3625=x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\log_3625=x[/tex]
It can be written as
[tex]\log_3(5)^4=x[/tex]
[tex]4\log_3(5)=x[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex] [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]
[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]
[tex]x\approx 5.8599[/tex]
Therefore, the value of x is about 5.8599.
a) American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 2100 households and found that average Halloween spending was $47 per household. The sample mean is dollars, while the claimed population mean is dollars. b) The average GPA of students in 2001 at a private university was 3.38. To assess whether this has changed over time, a survey on a sample of 190 students from this university was taken in the Spring 2020 semester. The survey yielded an average GPA of 3.75. The sample mean is and the claimed population mean is
Answer:
a) The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
b) The sample mean is 3.75, while the claimed population mean is 3.48.
Step-by-step explanation:
Question a)
American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy means that the claimed population mean is 70 dollars.
The survey included 2100 households and found that average Halloween spending was $47 per household means that the sample mean is 47 dollars.
The sample mean is 47 dollars, while the claimed population mean is 70 dollars.
Question b)
The average GPA of students in 2001 at a private university was 3.38 means that the claimed population mean is 3.38.
The survey yielded an average GPA of 3.75 means that the sample mean is 3.75.
The sample mean is 3.75, while the claimed population mean is 3.48.
The function .... is symmetric with respect to what ?
Answer:
Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry
Use the Distance Formula to find the distance between (5. – 4) and (0.8).
Answer:
0.8
Step-by-step explanation:
[tex]d = s \times t[/tex]
math questions . 6th grade . please help 20 points and brainliest!
Answer:
y/9
g - 5
(6 * w) - 4
7 + (3g)
64/f
Step-by-step explanation:
For these questions, make sure to follow the order shown.
1. quotient is the answer of a division question, so it would be y/9
2. Difference is the answer of a subtraction question, so it would be g - 5
3. Product is the answer of a multiplication question, so it would be (6 * w) - 4
4. Remember, follow the order. The variable 'd' represents your dog's weight, so it would be 7 + (3g)
5. Remember when you are trying to find individual costs from a group payment, you have to divide the total by how many people there are. So, the variable 'f' represents how many friends were in the group, so it would be 64/f
Hope this helps :)
Answer:
1) [tex]\frac{y}{9}[/tex]
2) 2g - 5
3) 6w - 4
4) let d = dog's weight and m = my weight
3d+7= m
5) let g = number of friends and c = cost per person
[tex]\frac{64}{g}[/tex] = c
1.) Eight monkeys eat 16 lb of bananas a day. How many pounds of bananas are needed to feed 10 monkeys?
Answer:
20, since it has a rate of 2 banana per monkey so for 10 monkeys there will be 20, as the rate 1/2X x= monkeys
Step-by-step explanation:
What is the difference in length between the longest meteor and the shortest meteor? (4 points)
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
a
one and five eighths inches
b
two and one eighth inches
c
five and one eighth inches
d
five and five eighths inches
Answer:
the answer is one and five eights
Step-by-step explanation:
1 7/8 - 2/8 = 1 5/8
Answer:
The answer is A
Step-by-step explanation:
1 7/8 - 2/8 = 1 5/8
pls mark me as brainlest
1
8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time
Answer:
At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Step-by-step explanation:
Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :
100 - 20 = 80
Year 0 = 8 million
Year 1 = 8 x 0.8 = 6.4 million
Year 2 = 6.4 x 0.8 = 5.12 million
Year 3 = 5.12 x 0.8 = 4,096 million
Year 4 = 4.096 x 0.8 = 3.2768 million
Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Need help ASAP!!!!!
Answer:
cos 45 degree = A/H
cos 45 degree = 2 square root 2 / x
x = 2 square root 2 / cos 45 degree
x = 4
Sin 45 degree = O/H
Sin 45 degree = y/ 4
4 x Sin 45 degree = y
y = 2.83
or
we could use tan
tan 45 degree = O/A
tan 45 degree = y / 2 square root 2
2 square root 2 x tan 45 degree = y
y = 2.83
i hope this would elp a little bit.
Give an example for a monomial, binomial and trinomial
Answer:
mono sounds like money bino sounds like albino and trino sounds like rhino
A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an algebraic expression that represents the number of children in each room.
Answer:
Number of children in each room = c / 3
Step-by-step explanation:
Given:
Number of rooms in care center = 3
Number of children attend the center = c
Find:
Number of children in each room
Computation:
Number of children in each room = Number of children attend the center / Number of rooms in care center
Number of children in each room = c / 3
Find the circumference of the circle.
Answer:
it is 18.84
Step-by-step explanation:
2+׳
What's the answer?
Answer:
x^3+2
Step-by-step explanation:
Which of the following are needed to make an expression
Answer:
An expression is a syntactic construct. It must be well-formed: the allowed operators must have the correct number of inputs in the correct places, the characters that make up these inputs must be valid, have a clear order of operations, etc.
Answer:
The Correct answer is variable (s)
of 10 (0 complete)
This Question: 1 pt
A 2-ft vertical post casts a 16-in shadow at the same time a nearby cell phone tower casts a 122-ft shadow. How tall is the cell phone tower?
Answer: 180ft
Step-by-step explanation:
At a school, 153 students play at least one sport. This is 75% of the students at the school. How many students are at the school?
Answer:
204 people
Step-by-step explanation:
i used a calculator
Suppose we want to choose 5 objects, without replacement, from 9 distinct objects. (a) How many ways can this be done, if the order of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration?
The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
Suppose we want to choose 5 objects, without replacement, from 9 distinct objects.
Then the number of ways that this can be done, if the order of the choices is not taken into consideration will be given as,
⁹C₅ = 9! / [(9 - 5)! x 5!]
⁹C₅ = (9 x 8 x 7 x 6 x 5!) / (4 x 3 x 2 x 1 x 5!)
⁹C₅ = 126
Then the number of ways this can be done, if the order of the choices is taken into consideration will be given as,
⁹P₅ = 9! / [(9 - 5)!
⁹P₅ = (9 x 8 x 7 x 6 x 5 x 4!) / 4!
⁹P₅ = 15,120
The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
URGENT
Explain:
Answer the following questions using 125 words or more:
1. Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What
would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do
differently?
2. What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What
would you do differently?
The way in which the original comic would be similar to the enlargement is that they have the same proportion.
How is the original comic similar to the enlargement?Based on the fact that when a comic is enlarged, the original and enlargement would remain the same and the only difference would be a larger size.
Hence, we can see that because they have the same proportion, each individual pixel in the original is more visible and the enlargement displays the image in a small number of large pixels.
The use of a grid would likely reduce the effect of pixelation and if there is a reduction in the size of the comic, there would be the same effect, only that it would be smaller, but have the same proportion.
Read more about pixels here:
https://brainly.com/question/9017156
#SPJ1
write an exponential function y=ab^x for a graph that includes (2,4) and (3,16)
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a
Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2
Divide both sides by b2
2b = 4
a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Hope it helps
Please mark me as the brainliest
Thank you
9514 1404 393
Answer:
y = (1/4)4^x
Step-by-step explanation:
In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...
y = y1·(y2/y1)^((x -x1)/(x2 -x1))
Using the given points, this becomes ...
y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)
We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.
y = 4·(4^x)(4^-2) = (4^-1)(4^x)
y = (1/4)(4^x)
When six times a number is decreased by 8, the result is 10. The number is
Answer:
3
Step-by-step explanation:
6 x 3 = 18 - 8 = 10
A usability test was conducted to evaluate the design of a store website. The times to complete a certain task were recorded for a sample of 48 users. The sample mean time was 70 seconds with a 95% margin of error of 10 seconds. In other words, researchers estimated with 95% confidence that the mean time to complete the task was between 60 and 80 seconds for all website users. Only one of the following statements is true. Select the correct statement.
1. the probability that the mean time μ will fall between 60 and 80 is 0.95.
2. If many samples are collected from the same population, about 95% of the samples will produce confidence intervals that contain the population mean μ.
3. If a second sample from the same population is selected and a 95% confidence interval is constructed, the new confidence interval will be the same as the 95% C.I. defined in the first study.
4. If the study is repeated, and a new 95% confidence interval is computed, there is 95% chance that the new interval contains the sample mean value >= 40 seconds.
Answer:
2. If many samples are collected from the same population, about 95% of the samples will produce confidence intervals that contain the population mean μ.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
So the correct option is given by:
Option 2, as we will be 95% sure that the population mean will be in the interval, which can be interpreted that from many samples, about 95% will contain the population mean.
5th grade math. correct answer will be marked brainliest.
Answer:
5 1/3
Step-by-step explanation:
1/2 = 3/6
9 5/6 - 4 3/6
5/6 - 3/6 = 2/6
9 - 4 = 5
so...
5 2/6 = 5 1/3
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
factor if possible x/2+9x+18
Answer:
3) (x+6)(x+3)=0
4) (x+2)(x-6)=0
Step-by-step explanation:
Can someone please help meee
Answer:
160
Step-by-step explanation:
Angle ABE is a 180 as ABE forms a line
so angle ABC + ANGLE CBE = 180
x + 20 = 180
x = 180-20
= 160
I hope im right!!
Step-by-step explanation:
answer is 160
hope it helps
Which of the following methods would be the easiest to use to solve 2x2 + 4x — 7 = 0?
A factoring
B All three methods would be easy and effective.
C using the quadratic formula
O isolating the x2 term and finding the square root of both sides
Answer: x=0.75
Step-by-step explanation:
10b - 5a + 6c
if a=6 b=8 and C=5
Then what’a the answer?
Answer:
80
Step-by-step explanation:
10b - 5a + 6c
substitute the values
10(8) - 5(6) + 6(5)
80 - 30 + 30
=80
Miss Johnson bought a pair of jeans on sale for $30. The original price was $50. By what percent did the price of the jeans change?
Answer:
the price changed by 40%
Answer:
40%
Step-by-step explanation:
30 x 2 = 60
50 x 2 = 100
100-60=40
There is 12/15 of pizza left. How many 4/10 pieces can be made from the leftover pizza?
Answer:
there will be 1/5 left over pizza to make a nother pizza. this is making me hungry.
Douglas works for a racing car team.
The team is practising at a racing circuit
The length of the racing circuit is 4.8 kilometres.
The team car takes 2 minutes to go once round the racing circuit.
(a) Work out the average speed of the team car.
Give your answer in kilometres per hour.
(3)
Write your answer in the box below.
kilometres per hour
Show your working clearly in the
The working box can be moved
Working Box
(b) Use estimation to show a check of your answer.
(1)
Write your check in the box below.
Answer: the answer is c
Step-by-step explanation:
8. A bag contains 12 red tiles, 2 blue tiles, and
1 yellow tile. Betty will draw two tiles from
the bag one at a time without replacement.
What is the probability that she will draw a
red tile and then a yellow tile?
Answer:
12 over 15 and 1 over 15 i think
Step-by-step explanation:
A Monte Carlo experiment is a statistical analysis that uses repetitive random sampling to solve a problem.
a. True
b. False
Answer:
True
Step-by-step explanation:
In the Monte Carlo simulations process, the probability of outcomes is determined on the basis of repeated sampling for the outcomes in a process which can not be determined easily due to several random variables involved in the process. This techniques helps in determining the risk, uncertainty in prediction and forecasting models.