Answer:
the population means are known the population variances are assumed equal but unknown
Step-by-step explanation:
If σ1= σ2 (= σ) but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by
Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2
So first assumption is correct.
When the population variances are assumed unequal and unknown
If σ1 ≠ σ2 but unknown
we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.
S(x1`- x2`) = √s1²/ n1 + s2²/n2
So this is does not apply here.
Geometry work please help
A cube is sliced by an angled plane as shown. Which of the following plane figures represents the cross section?
ANSWER VERY QUICK PLEASE!!! TY
Answer:
The rectangle
which should be the second option
Answer:
option #2 : rectangular
Step-by-step explanation:
option #2 : rectangular, with:
the length = diagonal of cube face
the width = cube edge
Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. What will the account balance be after 5 years?
The balance in the account of Jayden after 5 years will be $3,886.27.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. Then the amount after 5 years is calculated as,
A = $2,644.93 x (1 + 0.08)⁵
A = $2,644.93 x (1.08)⁵
A = $2,644.93 x 1.469
A = $3,886.27
The balance in the account of Jayden after 5 years will be $3,886.27.
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help me pls. my teacher asks a question and we are doing ratio.
what is the smaller ratio, 32:24 or 30:22?
I do not understand how to find the smaller ratio, I have five pages of notes and she hasn't explained, am I supposed to simplify and add and see which total is smaller?
Answer:
32:24
Step-by-step explanation:
So ratios are like fractions
You can write 32:24 like \(\frac{32}{24}\)
and 30:22 like \(\frac{30}{22}\)
Like fractions you can simplify them, you want to get the denominator or the bottom numbers the same so you can compare the top number.
\(\frac{32}{24}\) \(\frac{30}{22}\) One way to make the denominator the same is to do 24x22=528
then do 32x22=704 then 30x24=720
Then that gives you \(\frac{704}{528} \frac{720}{528}\) Here you can see that 704 is smaller then 720
and since 704 is the same as 32:24
32:24 is the smaller ratio
At priscilla's purse warehouse, it takes 2/3 of a day to complete 1/9 of an order of purses. At this rate , how long will it take to complete the entire order of purses?
Answer:
6 days
Step-by-step explanation:
The computation of the number of days to complete the entire order of purses is shown below:
As according to the question
It takes 2 by 3 for complete of 1 by 9 of a purses order
So the number of days that need to complete the entire order is
\(= \frac{2}{3} \times \frac{9}{1}\\\\= 6\ days\)
The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box
Answer:
a = 8 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
V = 512 cm³
Step 2: Find a
Substitute in variables [Volume of a Cube Formula]: 512 cm³ = a³[Equality Property] Cube root both sides: 8 cm = aRewrite: a = 8 cmSelect all of the choices that are equal to (-5)-(-12)
Answer:
7 {No choices are given}
Step-by-step explanation:
Given problem,
→ (-5) - (-12)
Let's solve the problem,
→ (-5) - (-12)
→ (-5) + 12
→ (-5 + 12) = 7
Thus, the answer is 7.
in the diagram below of trapezoid RSUT, X is the midpoint and V is the midpoint of SU if RS=30 and XV=44, what is the length of TU
The length of TU in a trapezoid RSUT is 34 units.
How to calculate length of TU in a Trapezoid?To find the length of TU, we can use the midpoint formula. The midpoint formula states that for a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is ((x1 + x2)/2, (y1 + y2)/2).
In this case, we know that X is the midpoint of line segment RS and V is the midpoint of line segment SU. So we can set up the following equation:
(RS/2) + (SU/2) = 44
Where (RS/2) = (30/2) = 15 and (SU/2) = TU/2
So we can substitute this into the equation and get:
15 + (TU/2) = 44
To find TU, we can solve this equation by multiplying both sides by 2:
TU = 2(44) - 2(15) = 64 - 30 = 34
So the length of TU is 34 units.
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Pleasee can someone help and show work? I hate fractions and i have school in like 30 minutes D:
Answer:
Sure, what do you need help with?
Step-by-step explanation:
Send whatever you need help with and I'll see if I can explain it.
A coin is made of 100% gold (Au) and has a mass of 3.5 g. How many Au atoms are there in the coin? 1.1×10 22
1.1×10 26
690 4.7×10 26
56
To determine the number of gold atoms in the coin, we need to use the molar mass of gold and Avogadro's number. The number of gold atoms in the coin is approximately 1.068 × 10^22 atoms. None of the provided options matches this value.
1. Find the molar mass of gold (Au):
The molar mass of gold is the atomic mass of gold, which can be found on the periodic table. The atomic mass of gold is approximately 197 g/mol.
2. Convert the mass of the coin to moles:
Number of moles = Mass / Molar mass
Number of moles = 3.5 g / 197 g/mol ≈ 0.01777 mol
3. Calculate the number of atoms:
Number of atoms = Number of moles × Avogadro's number
Number of atoms = 0.01777 mol × 6.022 × 10^23 atoms/mol ≈ 1.068 × 10^22 atoms
Therefore, the number of gold atoms in the coin is approximately 1.068 × 10^22 atoms. None of the provided options matches this value.
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3 is subtracted from the cube of a number.
The equation \(x^{3} - 3\) has x values as 0, \(\sqrt{3}\) and -\(\sqrt{3}\).
We are given,
3 is subtracted from the cube of a number.
Let the number be x then we can write it as:
\(x^{3}\) - 3
We are to solve for x.
We can write the equation as:
\(x^{3}\) - 3 = 0
x ( \(x^{2}\)- 3 ) = 0
x = 0 and ( \(x^{2}\) - 3 ) = 0
x = 0 and \(x^{2}\) = 3
x = 0 and x = ±\(\sqrt{3}\)
So we have,
x = 0, \(\sqrt{3}\) and -\(\sqrt{3}\)
Thus we have x values as 0, \(\sqrt{3}\) and -\(\sqrt{3}\).
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Jayden is a waiter at a restaurant. Each day he works, Jayden will make a guaranteed wage of $30, however the additional amount that Jayden earns from tips depends on the number of tables he waits on that day. From past experience, Jayden noticed that he will get about $14 in tips for each table he waits on. How much would Jayden expect to earn in a day on which he waits on 16 tables? How much would Jayden expect to make in a day when waiting on
Answer:
$254
$30 + $14x
Step-by-step explanation:
Jayden:
Guaranteed wage= $30
Tips per table = $14
Number of tables = 16
Total revenue = fixed revenue + variable revenue
Fixed revenue= $30
Variable revenue change with quantity= $14 × number of tables Jayden waits on
Total earnings of Jayden for the day = $30 + $14(16)
= $30 + $224
= $254
When Jayden waits on x number of tables
Total earnings of Jayden for the day = $30 + $14(x)
= $30 + $14x
Where x = number of tables Jayden waits on
Answer:
$254
30 + 14t
Step-by-step explanation:
William's car used 2 gallons to travel 68 miles. How far can he travel on 9 gallons?
Answer:
306 miles
Step-by-step explanation:
68 divided by 2 is 34
34 times 9 equals
Answer:
306 miles
Step-by-step explanation:
68 divided by 2 = 34
a.k.a. 34 miles a gallon
34 times 9 miles = 306 miles
William's car can travel 306 miles with 9 gallons in its tank.
in a haplodiploid system, calculate the relatedness of a son to a maternal aunt.
In a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.
In a haplodiploid system, males develop from unfertilized eggs and are haploid, while females develop from fertilized eggs and are diploid. This means that sons inherit all of their genetic material from their mother, including her alleles from both her haploid sets of chromosomes. Maternal aunts, on the other hand, share one set of haploid chromosomes with their nephew (the son), as they are the sister of his mother. Therefore, the relatedness between a son and his maternal aunt in a haplodiploid system is 0.75 or 75%.
In a haplodiploid system, the relatedness of a son to a maternal aunt can be calculated using the following steps:
1. Determine the relatedness of the son to his mother: In haplodiploid systems, sons are haploid and inherit their single set of chromosomes from their mother. This means that they are 100% related to their mother, as they share all her genes.
2. Determine the relatedness of the maternal aunt to the son's mother: The maternal aunt is a sister of the son's mother. In haplodiploid systems, sisters share 75% of their genes, as they get half of their genes from their mother and the other half from their father (who, as a haploid male, gives all his genes to his daughters).
3. Calculate the relatedness of the son to his maternal aunt: To determine the relatedness of the son to his maternal aunt, multiply the son's relatedness to his mother (100%) by the maternal aunt's relatedness to the son's mother (75%).
Relatedness of son to maternal aunt = (1.0) * (0.75) = 0.75 or 75%
So, in a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.
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Determine whether the events A and B are independent.
12 jurors are selected from a pool of 20
Event A: The first person selected has a birthday in May
Event B: The second person selected has a birthday in May
O No
O Yes
Answer:
Yes
Step-by-step explanation:
The events are completely independent of each other because the people were selected at random. There is no context provided that the second person's answer was influenced by the first person.
Given f(x)=4x^2+9x+9, find f(−1)
The value of the function f(-1) is -4
What is a function?A function is simply described as an equation that explains the relationship between the independent variable and the dependent variable.
From the information given, we have the function;
f(x)=4x^2+9x+9
To determine the value of f(-1)
substitute the value of x as- 1, we get;
f(-1) = 4(-1)² + 9(-1) + 9
expand the bracket, we get;
f(-1) = -4 -9 + 9
Add or subtract the values, we have;
f(-1) = -4
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Completely factor the following expressions.
Answer:
assuming that the equations are equal to zero the answers would be
3 , -3 , 5
Step-by-step explanation:
true or false. (determining sample size n for the purpose of estimating mean). for a fixed confidence level (1-alpha) and given population standard deviation, increasing the sampling error (se) will lead to a larger sample size n.
Answer:
Increasing the sampling error (se) will lead to a larger sample size n.
Step-by-step explanation:
True. When determining the sample size n for the purpose of estimating a population mean, a fixed level of confidence (1-alpha) and population standard deviation are typically specified.
The sampling error (se) represents the maximum distance between the sample mean and the true population mean, which is typically set to a desired level of precision.
As the sampling error decreases (i.e., more precision is desired), the sample size n needs to increase in order to achieve the same level of confidence.
Therefore, increasing the sampling error (se) will lead to a larger sample size n.
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Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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Find the slope and the y-intercept of the graph of y-1 = 3x + 8.4.
The slope is
The y - intercept is
Step-by-step explanation:
Select the TWO numbers that have a 4 in the thousandths place. *
Answer:
54,436.004 and 247,892.984
Step-by-step explanation:
Answer:
third and fourth
Step-by-step explanation:
Dehaun finihed hi math aignment in 1/2 hour and then he completed hi hitory aignment and 1/5 hour what wa the total amount of time dehaun pent doing thee two aignment
Dehaun spent 7/10 hours doing these two assignments.
What is meaning of assignment?
An assignment is a task or piece of writing that is handed to you to complete, typically as a requirement for a job or academic course.
What is a fraction number?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
Given that,
Dehaun finished his math assignment in 1/2 hour.
Also he did finish his history assignment in 1/5 hour.
To compute total assignment, add the times.
The total time that he spent to complete the assignment is
1/2 + 1/5
The L.C.M of 2 and 5 is 10.
=(5 + 2)/10
= 7/10
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Suppose $m$ is a two-digit positive integer such that $6^{-1}\pmod m$ exists and $6^{-1}\equiv 6^2\pmod m$. What is $m$
The value of $m$ is $43$.
The equation $6^{-1}\equiv 6^2\pmod m$ implies that $6^{-1}$ is a valid inverse of $6$ modulo $m$. This means that multiplying $6^{-1}$ by $6$ must result in the remainder $1$ when divided by $m$.
To find the value of $m$, we can then set up the equation:
$0\equiv 215\pmod m$
and find all possible values of $m$ that make this equation true.
Multiplying $6^{-1}\equiv 6^2\pmod m$ by $6$, we get $1\equiv 6^3\pmod m$, so $0\equiv 215\pmod m$. So, $m$ must be a divisor of $215$. The only 2-digit divisor of $215$ is $43$.
Therefore, $m$ is a two-digit number, the only possible value of $m$ is $43$.
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How do I read a box plot?
Answer:
A boxplot is a way to show a five number summary in a chart. The main part of the chart (the “box”) shows where the middle portion of the data is: the interquartile range. At the ends of the box, you” find the first quartile (the 25% mark) and the third quartile (the 75% mark). The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the center of the box.
Box plots aren’t used that much in real life. However, they can be a useful tool for getting a quick summary of data.
How to Read a Box Plot: Steps
Step 1: Find the minimum.
The minimum is the far left hand side of the graph, at the tip of the left whisker.
Step 2: Find Q1, the first quartile.
Step 3: Find the median.
Step 4: Find Q3, the third quartile.
Step 5: Find the maximum.
hope this helps!!
3) Estimate the quotient
using compatible numbers.
63.52 divided by 7.9=
Answer:
8.04050632911
Step-by-step explanation:
19.796 to 1 significant figure
Answer:
The answer is 20
I hope this helps
The ratio ? Describes the part to whole relationship for boys
In a case whereby Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls.
The ratio of the part-to-whole relationship for boys is 14/31.the ratio of the part-to-whole relationship for girls is 17/31.How can the ratio be described?From the question we were told that there are 14 boys in the class wehereby there the whole class has 31 students
Then we can conclude that te ratio of the part-to-whole relationship for boys= 14/31.
From the question, there are 17 girls in the class, then we can conclude that the ratio of the part-to-whole relationship for girls = 17/31.
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complete question:
Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls.
The ratio
describes the part-to-whole relationship for boys.
The ratio
describes the part-to-whole relationship for girls.
Ty
Can somebody help me with this
What are the first two steps of drawing a triangle that has all side lengths equal to 6 centimeters?
Select from the drop-down menus to correctly complete the statements.
Draw a segment (6,9,12) centimeters long. Then from one endpoint, draw a (30,60,90) ° angle.
The answer of the given question based on the triangle is (a) the coordinate is given wrong so it does not for any equilateral triangle, (b) the steps are given below to draw equilateral triangle.
What is Line segment?A line segment is part of line that is bounded by two distinct endpoints. It can be measured by its length, which is the distance between its endpoints. A line segment is a straight line that extends between its endpoints, but it does not continue indefinitely in either direction.
Draw a segment (6,9,12) centimeters long. Then from one endpoint, draw a (30,60,90) ° angle.
Neither of these steps is correct for drawing an equilateral triangle with all sides equal to 6 centimeters.
To draw an equilateral triangle, we can follow these steps:
Draw a straight line segment of 6 centimeters.
At one endpoint of the segment, use a compass to draw a circle with a radius of 6 centimeters. This will be the circle that intersects the other endpoint of the segment.
Without changing the compass width, place the compass on the other endpoint of the segment and draw a second circle of radius 6 centimeters.
Draw a straight line segment connecting the two points where the circles intersect.
This will create an equilateral triangle with all sides equal to 6 centimeters.
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eremy works two jobs. He makes $8/hr working at a deli and $12/hr working for a landscaper. Let x represent the number of hours he works at the deli, and let y represent the number of hours he works for the landscaper. What do the solutions of the inequality represent?
combinations of the hours he can work at the two jobs and earn at least $300
combinations of the hours he can work at the two jobs and earn at most $300
combinations of the hours he can work at the two jobs and earn less than $300
combinations of the hours he can work at the two jobs and earn more than $300
Answer:
A.) combinations of the hours he can work at the two jobs and earn at least $300
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
HELP ME PLEASE !!!!!!!!
Answer:
add words please
Step-by-step explanation:
i cant understand that ppic