Answer:
The probability is:
P = 0.375
Step-by-step explanation:
First, we need to find the total number of four-digit numbers that can be made with the digits 0-8, such that the first digit can not be zero.
To do this, we first need to find the number of selections that we have, in this case, there are 4, one for each digit in our 4-digit number.
Now let's count the number of options that we have for each one of these selections:
first digit: we have 8 options (because the 0 can not be here)
second digit: we have 9 options (because now the zero can be taken)
third digit: we have 9 options
fourth digit: we have 9 options.
The total number of combinations is equal to the product of all the numbers of options, this is:
C = 8*9*9*9 = 5,832
Now we need to find how many of these are less or equal than 4000.
So now let's count the options again:
first digit: 3 options {1, 2, 3}
second digit: 9 options
third digit: 9 option
fourth digit: 9 options
Total number of combinations:
C' = 3*9*9*9 = 2,187
Here we should also count the combination for the number 4000 itself, as it was not counted in our previous calculation, then we have:
C' = 2,187 + 1 = 2,188 combinations.
The probability of randomly choosing a number that is smaller than or equal to 4000 will be equal to the quotient between the number of combinations that are smaller than or equal to 4000 (2,188 combinations) and the total number of combinations (5,832)
this is:
P = 2,188/5,832 = 0.375
20. The H.M. between 2 and 8 is
(1 marks )
Answer as an improper fraction = 16/5
Answer as a mixed number = 3 & 1/5
Answer in decimal form = 3.2
All of those values represent the same thing, but written in a different way.
=============================================================
Explanation:
I'm assuming HM stands for Harmonic Mean in this case.
If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).
Add up those fractions:
1/2 + 1/8 = 4/8 + 1/8 = 5/8
Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.
n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction
-----------
To convert to a mixed number, we can do the following:
16/5 = (15+1)/5
16/5 = 15/5 + 1/5
16/5 = 3 + 1/5
16/5 = 3 & 1/5
Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2
Find the value of -6 + 8(-3) ÷ 4
please help me .
Answer:
-12
Step-by-step explanation:
cause from the rule
we should always solve from bracket so -3×8= -24
and -24/4= -6
and -6-6
= -12
A bag contains 10 discs.
Each disc is labelled with a different number from 1 to 10
Adinis chosen from the bag at random
Write down the probability that the chosen disc is
(a) the number 3
(b) a number loss than four
(c) a square number
(d) a prime number
Help please !!!
Answers:
(a) 1/10(b) 3/10(c) 3/10(d) 2/5===========================================
Explanations:
Part (a)
There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.
---------------------
Part (b)
The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.
---------------------
Part (c)
A square number, aka a perfect square, smaller than 10 is the list {1,4,9}
Since 1 = 1^2, 4 = 2^2 and 9 = 3^2
Like part (b), we end up with the same result of 3/10.
---------------------
Part (d)
The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.
So we end up with 4/10 = 2/5.
A review of combination
Answer:
What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
#happylearning
Expresa los siguientes números sin potencia de base 10
Answer:
no se guey..... pero gudluc
Can someone please help me?
Answer:
y=3^(x-2) + 1
Step-by-step explanation:
When dealing with graphs I always use a graphing calculator or Desmos to graph and double check my answers especially when doing translations!
which equation represents the graphed function
A. y=4x-2
B. y=-4x-2
C. y=1/4x-2
D. -1/4x-2
Here are 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest
Franklin can jog approximately 2,000 meters in 4 minutes. Express this rate as a unit
rate.
I need it in step by step
You always get a unit rate from dividing. You always have two ways to do it, and get two unit rates, but one of them is more helpful.
2000 meters/4 minutes = 500 meters per minute
4 minutes/2000 meters = 0.002 minute per meter
(By the way ... Franklin is "jogging" a 3:13.12 mile. The world record is 3:43.13 .)
Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip. A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.A. Specify the appropriate null and alternative hypotheses to test whether average spending at the rival's store is more than $130.B. Calculate the value of the test statistic.C. Calculate the p-value. D. Calculate the critical value
Answer:
A. The null hypothesis is [tex]H_0: \mu = 130[/tex].
The alternative hypothesis is [tex]H_a: \mu > 130[/tex]
B. The value of the test statistic is [tex]t = 1[/tex]
C. The p-value is of 0.1636.
D. The critical value is [tex]t_c = 1.711[/tex]
Step-by-step explanation:
Question a:
Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip.
At the null hypothesis, we test if the mean is the same as Costco's, that is:
[tex]H_0: \mu = 130[/tex]
At the alternative hypothesis, we test if the mean is more than 130, that is:
[tex]H_a: \mu > 130[/tex]
B. Calculate the value of the test statistic.
The test statistic is:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
130 is tested at the null hypothesis:
This means that [tex]\mu = 130[/tex]
A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.
This means that [tex]n = 25, X = 135.25, s = 10.50[/tex]
Then
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{135.25 - 130}{\frac{10.50}{\sqrt{25}}}[/tex]
[tex]t = 1[/tex]
The value of the test statistic is [tex]t = 1[/tex]
C. Calculate the p-value.
Test if the mean is more than a value, so a right-tailed test.
Sample of 25, so 25 - 1 = 24 degrees of freedom.
Test statistic of t = 1.
Using a t-distribution calculator, the p-value is of 0.1636.
D. Calculate the critical value
24 df, using the standard 0.05 significance level.
Using a critical value calculator, the critical value is [tex]t_c = 1.711[/tex]
On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.
170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806
1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures
2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.
Answer:
1.d. None of these measures (do not exist interpreted as all of these exist)
2.The mean is increased from 346.8 to 361.32
Step-by-step explanation:
After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .
The mean is 346.8
The mode is 281
The median is 316
Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. The mean would be affected by the change.
The mean is 361.32
The mode is 281
The median is 316
The mean is increased from 346.8 to 361.32
Can someone solve question c ?
The missing number in the sequence 2, 5, 10, ?, 26, 37 is .........?
Answer:
17.
Step-by-step explanation:
The differences form an arithmetic sequence 3, 5, 7, 9,,11.
The missing number is 10 + 7 = 17.
This is a quadratic sequence.
The nth term = n^2 + 1.
Thus the 4th term = 4^2 + 1 = 17.
Write equation for the line with a slope "undefined" and has the same x-intercept as x−y−1=0
Answer:
Step-by-step explanation:
Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,
-y = -x + 1 and
y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:
0 = x - 1 and
1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.
x = 1 is the line you want.
Which of the diagrams below represents the statement "If it is a tree, then it
has leaves"?
has leaves
tree
tree
has leaves
Figure A
Figure B
O A. Figure A
O B. Figure B
The correct answer is A. Figure A.
What is mathematical statement?A mathematical statement is a declarative sentence that expresses a truth or falsehood using mathematical symbols. It is usually made up of two terms that are related by an operator, such as an equals sign. Mathematical statements can be used to prove results, solve equations, and make predictions about the behavior of systems.
This diagram represents the statement "If it is a tree, then it has leaves" because the top box is labeled "tree" and the bottom box is labeled "has leaves". The arrow running between them indicates that if the condition of the top box is true, then the bottom box is also true. This is an example of a conditional statement.
To know more about mathematical statement click-
https://brainly.com/question/27839142
#SPJ1
NA
4
which is the graph of the linear inequality y < 3x + 1
Answer:
D
Step-by-step explanation:
Answer:0
Step-by-step explanation:
because 3x+1 is 0
The 3x+1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1.
This are 7 different questions please help me
Answer:
ccccccc is bebebebebebebeebebbeebebeb
A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?
Answer:
Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours
Step-by-step explanation:
We are given;
Sample mean for male employees; x1¯ = 63
Sample mean for female employees; x2¯ = 66
Sample size = 50
Standard deviation; σ = 10
First,let's define the hypotheses of the question;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 ≠ μ2
Now, let's find the test statistic from the formula;
z = (x1¯ - x2¯)/(σ√(2/n))
Thus;
z = (63 - 66)/(10√(2/50))
z = -3/2 = - 1.5
Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.
Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;
p-value = 0.13364
The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation
Henry signed up for a streaming music service that costs $14 per month. The service allows Henry to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Henry have to pay in a month in which he downloaded 50 songs? How much would he have to pay if he downloaded s songs?
Cost for 50 songs :
Cost for s songs :
Answer:
Cost for 50 songs: $64
Cost for s songs: s + 14
Step-by-step explanation:
Since it is $1 per song, if he downloaded 50 songs, it would be $50 extra dollars.
Add this to the monthly charge of 14:
50 + 14
= 64
So, the cost of 50 songs would be $64.
Now, find the cost for downloading s songs.
Each song is $1, so the cost can be represented by s + 14.
The answer is:
Cost for 50 songs: $64
Cost for s songs: s + 14
I don't know how to do this
Answer:
Step-by-step explanation:
yeah
Given A = (-1 -2 3 4 8 -6 0 1 5) and B = (-5 -1 6 4 1 2 0 -3 2) What is X if B - X = A?
Answer:
5(-3)2-2(-3)+1. =5(9)+6+1. =45+7 ... 7x – 6= 0). (3x + 2)(x – 3)=0. =3x + 2 = 0; x – 3 = 0. _486x 5 – 7x. 1 1 8 1 6. uh this is hard..
Step-by-step explanation:
A restaurant is planning its staffing for weekday dinners. It finds that the number of customers is normally distributed. Which calculation would help them determine the most likely range of customers arriving for that meal
Answer: hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.
Step-by-step explanation:
Your question isn't complete as you didn't provide the options. These are given above.
Based on the options, the calculation that would help them determine the most likely range of customers arriving for that meal is a hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.
What is 5^-3?
Please I really need someone to explain to me what do you do when there is a negative sign in the exponent. Thank you :)
Answer: 1/125 or 0.008 (simplify 1.125 or should I do it?)
Step-by-step explanation:
Well, when there is a negative sign in the exponent you only move the negative exponents. Moving only negative exponents is recommended because using this rule, you multiply two exponents with the same base and add their powers.
Triangle ABC will be translated right 3 units and down 5 units to create triangle A'B'C'. What are the coordinates of B'?
Answer:
B'(4, 0)
Step-by-step explanation:
B (1, 5)
it translated right 3 units => x'=x+3
down 5 units => y'= y-5
If $25,000 is borrowed with an interest of 8.0% compounded annually, what is the total amount of money needed to pay it
back in 10 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
[tex] \frac{8}{?100} \times 25000[/tex]
=2000
365×10=3650
2000×3650=7300000
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$25000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=25000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=25000(1.08)^{10}\implies A\approx 53973.12[/tex]
Answer Question Pls? I need Help!!
Answer:
option D
Step-by-step explanation:
Take the two through which the lines passes.
Let it be ( -5 , 0) and ( 0 , -3)
Step 1 : Find slope, m
[tex]Slope,m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]= \frac{-3-0}{0--5} = \frac{-3}{5}[/tex]
Step 2 : Find the equation
[tex](y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3[/tex]
Which is shown by the map
Answer:
A
Step-by-step explanation:
Well I am not fully sure but I would say A
At midday the temperature in Moscow was 7°C.
At midnight it was -3°C.
By how many degrees did the temperature fall?
Answer:
10 degrees C
Step-by-step explanation:
the difference between both temperatures is expressed by a subtraction
7 - -3 = 7 + 3 = 10
you could also do the subtraction the other way around :
-3 - 7 = -10
but the negative sign has no meaning for a distance between two points (a distance itself has no direction).
so, we are always using the absolute value of such difference calculations (when it is about lengths, distances, and so on, where the direction had no meaning).
and so, also the -10 is actually simply 10 for our problem here.
the temperature fell by 10 degrees.
Graph the image of rectangle after a translation 6 units right and 1 unit down.
Answer:
see image
Step-by-step explanation:
one by one, move each point
What’s the range of the given function?
I marked that answer by accident btw
The range of the given function is - 2