To solve the exercise, we can use the decimal places, which you can see below:
Then, we have:
0. 5,,448: The value of digit 5 is ,5 thousands,, or ,5,000,.
,1. 6,2,4,6: The value of digit 4 is ,4 tens,, or ,40,.
,2. 3,,1,53: The value of the digit 1 is ,1 hundred,, or, 100,.
,3. 4,0,9,8: The value of digit 9 is ,9 tens,, or ,900,.
,4. 1,,222: The value of digit 1 is ,1 thousand,, or ,1000,.
Mai bank account is overdrawn by $125 which means her balance is negative 125 she gets $85 for her birthday and deposit into her account how much does she have in her bank
plz someone help me on this question I rlly need help
Step-by-step explanation:
you simply have to mark the points in which the x and y coordinates are given take for example "1,4" it took him 4 minutes to read 1 page right? the one is marked as X and the 4 is marked as Y so put a point in which the 1 at X and the 4 at Y meet in the coordinates system. Do so with every coordinates and then draw a line in the direction of all the points
just mark down the coordinates on the plane, like this.
00
Select the correct answer.
Using synthetic division, find (2x +4x3³ + 2x+8x+8) + (x+2).
OA 213 + 2x + 4
OB. 214 +21² +41
OC 213 +21+4+=+2
OD. 213 +21² + 4
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Show your work plss not just the answer thank you
Three people share seven brownies. How many brownies should each person get?
Answer:
They should each get about 2 brownies and 1/5 of another one each.
Step-by-step explanation:
Your welcome :) If you can, look at my question and see if you figure it out pls if not just comment that you cant ¯\_(ツ)_/¯
Answer:
2 ⅓
Step-by-step explanation:
division is the same as a fraction
the dividend is the numerator and the divisor is the denominator
7÷3 is the same as 7/3
change 7/3 into a mixed number which is 2 ⅓
¿De qué número 64 es el 80%?
June and Sushil win some money and share it in the ratio 3:1. June gets £20 more than Sushil. How much did Sushil get?Caroline, Colin & Sarah share some money.
Answer:
£10
Step-by-step explanation:
3:1
difference in the ratio is 2 so 2 is £20
so 1 is 20/2 =10
Sushil is 1 in the ratio an 1 x 10 is 10.
this is a brief explanation.
Hope this helps x
The number of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set. 2,10,15,2,,12,13,7,3,8
It falls between: The population mean is 13. 8. The population variance is 192. The population's standard deviation is 13.856.
Why do we calculate population variance?A key measure of dispersion in statistics is population standard deviation. additional reading Statisticians compute variance to determine how various values inside a data collection interact to one another. While calculating the population variance, one may also compute the dispersion in relation to the population means.
The range: 15 - 2 = 13
The population mean is:
Mean = ( 2 + 10 + 15 + 2 + 12 + 13 + 7 + 3 + 8 ) / 9 = 8
The population variance ( S² or Sigma² ):
S ² = 1/9 · ( ( 2 - 8 )² + ( 10- 8 )² + ( 15 - 8 )² + ( 2 - 8 )² + ( 12 - 8 )² + ( 13 - 8 )² + ( 7 - 8 )² + ( 3 - 8 )² + ( 8 - 8 )² )
S ² = 192
The population standard deviation:
S = √(S²) = √192 = 13.856
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How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 5% interest compounded monthly.
I need to deposit $1558.41 to have $2000 in the account in 5 years.
What is compound interest?
The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.
∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ (∵ for monthly interest)
P = Principal
r = rate of interest per month
n = number of months
Given:
r = 5% per month
n = 5 years = 5*12 = 60 months
CI = P (1+5/(12 * 100))⁶⁰
2000 = P(1.0041)⁶⁰
2000 = P(1.2834)
P = 1558.41
Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.
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please please please help (giving brainliest to first to answer correctly)
Answer:
The tank can store 105 cubic feet of milk, whick is approximately 6982.5LB of milk.
Step-by-step explanation:
Firs you take the with and divide it by the ammount of parts it is to the side you want and multiply that by the denominater.
To find the length you divide 3.5 by 5 then multiply it by 7 and you will get 4.9.
To find the height you divide 3.5 by 4 and multiply that by 7 and you get 6.125.
Multiply the length by with by height and you will get the volume of the tank which is approximately 105 cubic feet. Once you do that you can multiply be the weight of the milk per cubic foot and you will get the waight of the milk inside the tank which is 6982.5LB.
Use numerals instead of words.
What value of x satisfies this equation?
log(2x) = 2
The value of Xis
Answer:
x = 50
Step-by-step explanation:
\( log_{10}(2x) = 2\)
Use the following property.
\( log_{a}(m) = n \\ {a}^{n} = m\)
\( {10}^{2} = 2x \\ 100 = 2x \\ \frac{100}{2} = x \\ 50 = x\)
Therefore, the value of x is 50.
Answer Check
Substitute x = 50 in the equation.
\( log_{10}(2x) = 2 \\ log_{10}(2(50)) = 2 \\ log_{10}(100) = 2 \\ {10}^{2} = 100 \\ 100 = 100\)
The equation is true. Therefore x = 50.
Note
If you don't write logarithm with base, it is classified as common logarithm or base 10.
Suppose that x and y vary inversely, and x = 30 when y = 2. Find y when x=5.
Answer:
Step-by-step explanation:
1. x is inversely proportional to y
x=k/y
k is the constant of proportionality
x =60/y
2. x=60/y
x=60/12
x=5
It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) such as problem identification, analytical reasoning, and content integration skills. What other potential predictor variables, numerical and categorical, would you want to use that might lead to the development of a multiple regression model for predicting a student’s college GPA? Briefly describe the direction of the slope that each of these variables should have.
Answer:
apart from using the hoc to predict the college students gpa, some other variables can be used
1. the students intelligent quotient
2. ability to remember
3. study time
4. gym practice
Step-by-step explanation:
1. the students intelligent quotient
gpa has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.
2. ability to remember
the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction
3. study time
gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.
4. gym practice
gpa and gym practice are not related so the slope would be in a downward direction.
when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.
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The value of the determinants are
D=13
Dx =26
Dy =52
Dz =26
What is determinant?
The determinant of a matrix is a scalar value calculated for a given square matrix. Linear algebra deals with the determinant, it is calculated using the elements of a square matrix. It can be thought of as a scaling factor for the matrix transformation. Useful for solving a system of linear equations, calculating the inverse of a matrix, and numerical operations.
Given system is
x+ y-z= 4
3x+4y-3z=16
9x- 3y+4z=14
from the system the determinants become,
D= 1 1 -1
3 4 -3
9 -3 4
D= 1(16-9)-1(12+27)-1(-9-36)
=7-39+45
13
Dx=4 1 -1
16 4 -3
14 -3 4
=26
Dy=1 4 -1
3 16 -3
9 14 4
=52
Dz=1 1 4
3 4 16
9 -3 14
=26
Hence, D=13, Dx=26, Dy=52, Dz=26
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A popular brand of running shoes costs
a local store $68 for each pair. If the
store sells the shoes for $119, what is
the percent of increase in the price?
Answer:
75%
Step-by-step explanation:
119-68 = 51
Now divide this 51 by the original price which is 68
51/68=0.75
0.75*100=75%
Hope it helps:)
Find the absolute mean deviation for the set {X, 2x, 3x, 4x}
Given:
Data set = \(\{x, 2x, 3x, 4x\}\)
To find:
The absolute mean deviation for the given set.
Solution:
We have,
Data set = \(\{x, 2x, 3x, 4x\}\)
Mean of the data set is
\(Mean=\dfrac{\sum x_i}{n}\)
\(Mean=\dfrac{x+2x+3x+4x}{4}\)
\(Mean=\dfrac{10x}{4}\)
\(Mean=2.5x\)
Now,
The formula for mean absolute deviation (MAD) is
\(MAD=\dfrac{\sum |x_i-\overline x|}{n}\)
\(MAD=\dfrac{|x-2.5x|+|2x-2.5x|+|3x-2.5x|+|4x-2.5x|}{4}\)
\(MAD=\dfrac{|-1.5x|+|-0.5x|+|0.5x|+|1.5x|}{4}\)
\(MAD=\dfrac{1.5x+0.5x+0.5x+1.5x}{4}\)
\(MAD=\dfrac{4x}{4}\)
\(MAD=x\)
Therefore, the mean absolute deviation for the given set of data is x.
A machine in a candy factory produces 5 and 1/2 batches of milk balls every 3/4 hour. Which of the following is the unit rate for producing the milk balls, in batches per hour?
a
4 and 1/8 : 1
b
5 and 3/4 : 1
c
6 and 1/4 : 1
d
7 and 1/3 : 1
Bobby learned that there are 44,678 species of spiders in the world he also learned that there are about 22,599 species of ants if the total number of spiders ant and grasshopper species in approximately 77,281 how many species of grasshoppers are there
Which has a greater effect on the volume-changing the radius by a given amount or changing the height by the same amount? Why?
Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.
How many models of 100 do you need to model 4200?
Using proportions, we can say that 42 models of 100 are needed to model 4200.
Ratio and fractions are the main bases on which proportion is explained. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion states that two ratios are equal. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics.
In the question, we are asked for the number of models of 100 we need to model 4200.
The given problem can be shown as a proportion with the ratio of the number of models of 100, to the model.
We know that 1 model of 100 makes a model 100.
We assume that n models of 100 makes a model 4200.
By proportion, we can show that:
n/4200 = 1/100,
or, n = 4200/100,
or, n = 42.
Thus, using proportions, we can say that 42 models of 100 are needed to model 4200.
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Work out 30% of $150
Answer:
$\(45\)
Step-by-step explanation:
\(30\)% \(\mathrm{of}\) $\(150\)
\(=\frac{30}{100}\times 150\\\)
\(=\) $\(45\)
Exercise 1 (7 points)
The following data represent the scores of students in an Inferential
Statistics examination 5-12-8-14-11.
1. Determine the mean, variance and standard deviation of this population
2. How many simple random samples of size 2 can be constructed in an
exhaustive manner?
3. The sampling distribution of the sample means is studied, determine
the mean, variance and standard error of this sampling distribution.
4. Determine the variance of this sampling distribution.
5. This is considered to be data from a simple random sample, determine a
point estimate of the population mean and variance.
Answer: 1.To find the mean, we sum up all the scores and divide by the number of scores:
Mean = (5 + 12 + 8 + 14 + 11) / 5 = 50 / 5 = 10
To find the variance, we first find the deviation of each score from the mean:
5 - 10 = -5
12 - 10 = 2
8 - 10 = -2
14 - 10 = 4
11 - 10 = 1
We square each deviation and sum them up:
(-5)^2 + 2^2 + (-2)^2 + 4^2 + 1^2 = 26
Then, we divide by the number of scores to find the variance:
Variance = 26 / 5 = 5.2
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √5.2 = 2.28
2. To construct a simple random sample of size 2, we can choose any two scores from the population. The number of ways to do this is given by the combination formula:
C(5,2) = 5! / (2! * (5 - 2)!) = 10
Therefore, there are 10 simple random samples of size 2 that can be constructed.
3.The mean of the sampling distribution of the sample means is equal to the population mean, which we found to be 10. The variance of the sampling distribution is equal to the population variance divided by the sample size:
Variance of sampling distribution = Variance / Sample size = 5.2 / 2 = 2.6
The standard error of the sampling distribution is the square root of the variance:
Standard error = √2.6 = 1.61
4.The variance of the sampling distribution is 2.6, as we found in part
5. Since this is considered to be data from a simple random sample, we can use the sample mean as a point estimate of the population mean. Therefore, the point estimate of the population mean is 10.
Similarly, we can use the sample variance as a point estimate of the population variance. However, we need to correct for the bias in the sample variance by dividing by (n-1) instead of n:
Point estimate of population variance = Variance * (n / (n-1)) = 5.2 * (5 / 4) = 6.5
Step-by-step explanation:
Correlation coefficient: If the correlation coefficient for a given scatterplot is r = -0.81, which of the following must be true about the relationship between the explanatory and response variable?
A) The association has a linear form.
B) The association must be positive.
C) The slope must be negative.
D) The association is weakened by outliers.
Answer:
C) The slope must be negative.
Step-by-step explanation:
Correlation coefficient between the explanatory variable x and the response variable y shows whether increases in x will result in an increase or decrease in y
Here correlation coefficient is r = -0.81
Since it is negative, that means the slope of least-squares regression line will be negative
Answer:
C. The slope must be negative.
Step-by-step explanation:
The association has to be negative because if the scattetplot. is 0.81 then the relationship between the exploratory and response variable.
A fair coin is spun four times. Circle the probability of getting four Heads.
A 1/2 B 2 C 1/8 D 1/6
Answer:the answer is 1/16
so none of the above
Step-by-step explanation:
Explain the inequality -4 C > -9C describes how the temperatures are related
NO SPEAK ENGLISH SORRYYYY
The inequality explains the value of -4°C is greater than -9°C
What is inequality?It is known as inequality when both sides of a mathematical statement contain mathematical signs that are either less than or larger than one another.
It is given that,
-4°C > -9°C
We utilize the "Greater than or equal to" sign in linear inequalities when the value of a variable is greater than or equal to a certain value. The "greater than" symbol (>), which has a sleeping line beneath it, is used to denote it. It is represented by the character (≥).
Thus, the inequality explains the value of -4°C is greater than -9°C.
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I just need d and e answers for this question.
The probability that (all 23 are not smokers is 0.0429
P(all 23 are not smokers 0.0429
P(exactly 6 smokers) ≈ 0.1671
How to calculate the probabilitya) If 16% of the population are smokers, then the probability that an individual is not a smoker is 1-0.16=0.84.
P(all 23 are not smokers) = 0.84²³ ≈ 0.0429
b) The probability that any one individual smokes is 0.16, and the probability that any one individual does not smoke is 0.84.
P(all 23 are not smokers) = 0.84²³ ≈ 0.0429 (rounded to four decimal places).
c) Similarly, we can use the binomial distribution to find the probability of exactly 6 smokers in a sample of 23:
P(exactly 6 smokers) = (23 choose 6) * 0.16⁶ * 0.84^17 ≈ 0.1671
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A,B,C,E,F et G sont du plan Simplifier l’écriture de chacun des sommes 1)AB+CE+BC+EF 2) AB+DE+AB+EG 3) AB-BC-AB+BE 4) AB+DE+CD+AD+BC+ED
PLEASE HELP ME WITH ALL PLEASEEEE ASSASAAAPPPPPPPPPPPPPPPPPPP
Harry and Sally both invest $2500 for their school tuition in 3 years. Harry chooses to invest his money at bank A at 2.5%/a compounded monthly while Sally chooses to invest her money at bank B at 2.75%/a compounded quarterly. How much money will Harry and Sally have in their bank account after 3 years? Who made the best investment? Explain your answer.
Answer:
Hola cómo te llamas Hola
I will mark you brainiest!
What is the length of EF?
A) 2.4
B) 3.8
C) 0.5
D) 1.2
Answer: 2.4
Step-by-step explanation: Given the angles below, the length of EF will be 2.4
Answer:
B) 3.8.
EF = 3.8
Use the law of sines to find the unknown length EF
Lesson 3.4 different forms of liner
Equation
How do you solve it?
Y=2+3(×-1)