when sampling from a population with , which of the following sample means is more surprising? why? sample a: a random sample of 9 pell grant recipients with a mean award amount of $2750. sample b: a random sample of 36 pell grant recipients with a mean award amount of $2750.
Sample mean in sample b to be less variable and more representative of population mean than sample mean in sample a.
Standard error measures the variability of sample means around the population mean.
It decreases as sample size increases.
Using the formula for the standard error of the mean,
Calculate the standard errors for each sample,
Standard error of sample a
= s/√(n)
= 850/√(9)
= 283.33
Standard error of sample b
= s/√(n)
= 850/√(36)
= 141.67
Where s is the sample standard deviation
And n is the sample size.
The standard error of sample b is smaller than the standard error of sample a.
Sample mean in sample b is more likely to be closer to true population mean than sample mean in sample a.
Therefore, sample mean b is more surprising as larger sample size makes it more likely and accurately represents population mean.
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y=3x-7 Work out the value of y when x=5
Step-by-step explanation:
you know how functions work ?
the variable (or variables) in the findings expression is a placeholder for actual values.
when we have an actual value, we put that into the place of the variable and then simply calculate.
x = 5
therefore, the functional calculation is
y = 3×5 - 7 = 15 - 7 = 8
keep in mind the priorities of mathematical operations :
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
therefore, we need to calculate "3×5" before we deal with the "- 7" part.
Answer:
Step-by-step explanation:
y=8
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
The class took a math quiz, and the scores were {9, 8, 7, 9, 6, 9, 10, 8, 5, 9, 7, 6, 9, 9, 2, 8, 10, 7}.
Which score(s) were outliers?
Answer:
2,10,5,6
Step-by-step explanation:
What are outliers?
Outliers are numbers that are not often used and rarely used. They are least showed. The most number used is called the mode, or average. In this case, the mode is mostly 9. Since numbers like 2,10,5, and 6 are numbers that don't show often, they are outliers. Hope this helped
Answer:
2
Step-by-step explanation:
An outlier is the number that brings that mean/average way down or way up. The outlier in this case is 2 b/c it brought down the mean/average.
HELP!! 2. in the figure, x is an exterior angle to the triangle below.
a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __ Step 2: __ Step 3: __
(b) what is the measurement of < x ?
Answer:
< x = 120°
Step-by-step explanation:
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120
How many solutions can be found for the linear equation 4(2x+3)=2(4x+6)
Answer:
All real numbers are solutions
Step-by-step explanation:
Open the bracket
4(2x+3)=2(4x+6)
8x +12=8x +12
8X-8X=12- 12
=0
The equation is an identity hence, all real numbers are solutions(1,2,3,4 etc)
pleaseeeeeeeeeee help me
What is the value of n in the equation 1/2 (n - 4) - 3 = 3 - (2n + 3)?
A. n = 0
B. n = 2
C. n = 4
D. n = 6
HELP PLEASE!!!!
Answer:
n=2
1/2n-2-3=3-2n-3
1/2n+2n=3+2+3-3
2/1/2n=5
5/2n=5
n=5 multiply 2/5
n=2
Declaring variables - Declare two integer variables x and y, - Assign them any values. - Print addition/subtraction/multiplication and division of these two variables on to the screen
Submission Task (- Grade 1%) Follow the same steps asin Exercise 2, but change the step 2 to ask the user for input forthese values by using Scanner class.
Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:
import java.util.Scanner;
public class VariableOperations {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter the value for x: ");
int x = scanner.nextInt();
System.out.print("Enter the value for y: ");
int y = scanner.nextInt();
// Addition
int addition = x + y;
System.out.println("Addition: " + addition);
// Subtraction
int subtraction = x - y;
System.out.println("Subtraction: " + subtraction);
// Multiplication
int multiplication = x * y;
System.out.println("Multiplication: " + multiplication);
// Division
if (y != 0) {
double division = (double) x / y;
System.out.println("Division: " + division);
} else {
System.out.println("Cannot divide by zero.");
}
}
}
This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.
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please help im failing math
Answer:
I'm pretty sure it's 60 cm², or "A", but if it's not please note that I'm sorry
Step-by-step explanation:
15x4=60
Write an equation for the value of y in terms of x. Then solve the equation for x.
I don't know what to do when there are 2 missing variables
Answer:
Just do,
Step-by-step explanation:
(X x Z) = Y
(X/Z) = Y
Can anyone help me with this answer please!?
If r = 2 then substitute it for where r is in your given equation
New equation:
\(\dfrac{7(2)}{2}\)
\(\bf{7(2) = 14}\)
\(\dfrac{14}{2} = 7\)
\(\bf{Answer: 7}\) ☑️
Good luck on your assignment and enjoy your day!
\(\frak{LoveYourselfFirst:)}\)
Help with geometry!!!
Answer: HL
Step-by-step explanation: the diagram compares the two sides, or legs, and the hypotenuse.
The population of Leadville, CO is 2,600 people and is decreasing at a rate of 4. 4% per
year. Given the equation P(t) = 2600(. 956)* , where P represents the population of
Leadville and t represents the time in years. After how many years will the population
reach one half of the current population? Give your answer to 3 decimal places.
t-
years
The answer is t ≈ 16.038 years. The population of Leadville will reach one-half of the current population after approximately 16.038 years.
To find the number of years it takes for the population of Leadville to reach one-half of the current population, we need to solve the equation P(t) = 2600 * (0.956)^t for t.
The equation represents the population at time t, where P(t) is the population, 2600 is the current population, and 0.956 is the decay factor representing the 4.4% decrease per year.
Setting P(t) to half the current population (1300), we have:
1300 = 2600 * (0.956)^t
Dividing both sides by 2600, we get:
0.5 = 0.956^t
Taking the logarithm of both sides (base 0.956), we have:
log(0.5) = log(0.956^t)
Using the logarithmic property log(a^b) = b * log(a), we can rewrite the equation as:
log(0.5) = t * log(0.956)
Now, we can solve for t by dividing both sides by log(0.956):
t = log(0.5) / log(0.956)
Calculating this using a calculator, we find:
t ≈ -16.038
Since time cannot be negative in this context, we discard the negative value. Therefore, the population of Leadville will reach one-half of the current population after approximately 16.038 years.
Rounding to three decimal places, the answer is:
t ≈ 16.038 years
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I Need help with this I’ve tried stuff and stuff but it’s not working
Answer:
y= -2x + 0
Step-by-step explanation:
to get to y you need to multiply by -2 and add 0 to that to get the final y answer
The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely. (a) What is the probability that the general manager is next to the vice president
The probability that GM is next to VP is 3/7.
We are given that;
Number of employees=3
Company B= 2
Now,
We can use this formula to find the total number of ways to arrange eight people in a line, which is P(8,8):
\($$P(8,8) = \frac{8!}{(8-8)!} = \frac{8!}{0!} = \frac{8!}{1} = 8! = 40320$$\)
We can also use this formula to find the number of ways to arrange GM and VP next to each other, which is P(2,2):
\($$P(2,2) = \frac{2!}{(2-2)!} = \frac{2!}{0!} = \frac{2!}{1} = 2! = 2$$\)
We also need to consider that GM and VP can be next to each other in six different positions: (1,2), (2,3), (3,4), (4,5), (5,6), or (6,7). For each position, we have two ways to arrange GM and VP (GM-VP or VP-GM). So, we need to multiply P(2,2) by 6 and by 2 to get the total number of ways to arrange GM and VP next to each other in any position:
\($$P(2,2) \times 6 \times 2 = 24$$\)
Finally, we need to consider that for each arrangement of GM and VP next to each other, we have six other people who can be arranged in any order in the remaining six positions. The number of ways to arrange six people in six positions is P(6,6):
\($$P(6,6) = \frac{6!}{(6-6)!} = \frac{6!}{0!} = \frac{6!}{1} = 6! = 720$$\)
So, we need to multiply P(2,2) by 6 by 2 by P(6,6) to get the total number of ways to arrange eight people in a line such that GM is next to VP:
\($$P(2,2) \times 6 \times 2 \times P(6,6) = 24 \times 720 = 17280$$\)
To find P(A), we need to divide this number by the total number of ways to arrange eight people in a line:
\($$P(A) = \frac{P(2,2) \times 6 \times 2 \times P(6,6)}{P(8,8)} = \frac{17280}{40320} = \frac{3}{7}$$\)
Therefore, by probability the answer will be 3/7.
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Given the quantities a = 5.7 m, b = 4.7 s, c = 72 m/s, what is the value of the quantity d = a3/(cb2)?
The value of quantity d in which a = 5.7 , b = 4.7 and c is given to be 72 is 0.12.
We are given in the question that the value of a is 5.7m, b is 4.7s, c is 72 m/s and \(d=\frac{a^{3}}{cb^{2}}\)
We have to find the value of quantity d.
Putting the values of quantities a, b and c in the given formula of quantity d, we will get,
\(d=\frac{(5.7)^{3}}{(72)(4.7)^{2}}\)
First we will find the values of the cube of 5.7 and square of 4.7.
Hence,
\((5.7)^{3}=185.193\\\\(4.7)^{2}=22.09\)
Hence, the quantity d will become:-
\(d=\frac{185.193}{(72)(22.09)}\)
Simplifying the above equation, we get quantity d as :-
d ≈ 0.116 ≈ 0.12
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How are the slopes of parallel lines and perpendicular lines related?
Answer:
Let's see what you can do with parallel and perpendicular. In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other
Step-by-step explanation:
Slope of parallel lines = m
Slope of the perpendicular lines = -1/m
What congruence criterion shows that
A ACE A BCD
?
E
B
A
D
AAS
SAS
HL
O ASA
Answer:
SAS
Step-by-step explanation:
It shows that triangle ACE and BCD are congruent by
SAS axiom
HOPE IT HELPS :)
by sas
EC=CD[GIVEN]
AC=CB(GIVEN)
<ECA=<BCD()VERTICAL OPPOSITE ANGLE
-23 = x - 23
A. Infinite number of solutions
B. No solution
C. 0
D. 5
Answer:
x=0
Step-by-step explanation:
have a nice day or evening
What’s the answer? Plz help
hi, an adjacent angle would be HGJ
hope this helps
what is the distance between (-1, 2) and (5, -2)on a graph put into a decimal form.
Given:
The two points are (-1,2) and (5,-2).
To find:
The distance between the given points.
Solution:
Distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Using the distance formula, the distance between the given points is
\(d=\sqrt{(5-(-1))^2+(-2-2)^2}\)
\(d=\sqrt{(5+1)^2+(-4)^2}\)
\(d=\sqrt{(6)^2+16}\)
\(d=\sqrt{36+16}\)
On further simplification, we get
\(d=\sqrt{52}\)
\(d=7.2111\)
\(d\approx 7.21\)
Therefore, the the distance between the given points is about 7.21 units.
Solve the equation. Find x.
20x + 5 - 0 = 5x + 32.5*2
If U1 And U2 Are Orthogonal Unit Vectors Andv=Au1 + Bu2, Find v*u1
3) Convert the given percent 42% into a fraction in simplest form,
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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HELP ME WITH THIS PLS!!!!!!
Answer:
Step-by-step explanation:
\(x^{2} x^{2} \sqrt{x} \neq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)
Which number is equal to four and one-sixth?
four and sixteen hundredths with the six repeating
six twenty-fifths
4.2
416%
Answer:
4.2
Step-by-step explanation:
Four and one-sixth is equal to 4.2. One-sixth is the same as 1/6, which is equal to 0.16666666666666666. When you add this fraction to 4, you get 4.166666666666667, which can be rounded to 4.2. Four and sixteen hundredths is equal to 4.16, which is close to 4.2 but not exactly the same. Six twenty-fifths is equal to 0.24, which is also not equal to 4.2. 416% is equal to 4.16, which is also not equal to 4.2.
Factorise 12q+30 please help
Answer:
6(2q+5)
Step-by-step explanation:
Factoring 12q+30. First, we'll take out a common factor, in this case 6, leaving us with 6(2q+5).
biking talula got a new bicycle lock that has a four-number combination. each number in the combination is from 0 to 9. a. how many combinations are possible if there are no restrictions on the number of times talula can use each number?
There are 10,000 possible combinations if there are no restrictions on the number of times talula can use each number.
since the lock has four number positions and each position can have any number from 0 to 9, we can use the multiplication principle to determine the total number of possible combinations:
10 options for the first position x 10 options for the second position x 10 options for the third position x 10 options for the fourth position
this gives us:
10 x 10 x 10 x 10 = 10,000
biking talula got a new bicycle lock that has a four-number combination. each number in the combination is from 0 to 9. a. how many combinations are possible
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