Answer:
See below
Step-by-step explanation:
What the significance level tells us is that, in this case, there is only a 5% chance that the change in results from the sample happened by random chance. So that means that most likely the change in results did not happen by random change, and something happen between the times the samples were taken. In this case, the experiment.
P = 0.05 means that the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed, is 0.05.
P = 0.05 does not represent the probability that the null hypothesis is true or false, nor does it signify that the outcome is 5% higher in one group compared to the other. Instead, P = 0.05 is the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as the one observed. In simpler terms, it indicates the likelihood of obtaining the observed results, or results more extreme, under the assumption that there is no true effect or difference between the groups.
In hypothesis testing, researchers start with a null hypothesis (H0) that states there is no effect or difference between the groups being compared. The alternative hypothesis (Ha), on the other hand, posits that there is a significant effect or difference. The p-value quantifies the strength of evidence against the null hypothesis. A low p-value (such as P = 0.05) suggests that the observed results are unlikely to have occurred by chance alone, leading to the rejection of the null hypothesis in favor of the alternative hypothesis.
When a study reports a statistically significant improvement in Verbal GRE performance with P = 0.05, it means that the probability of obtaining the observed improvement (or a more significant one) under the assumption of no actual effect is 5% or less. Therefore, there is strong evidence to suggest that the technique used in the experiment does indeed have a positive impact on students' Verbal GRE scores.
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An isosceles triangle has two sides of equal length. The third side is 30 m shorter than twice the length of each congruent side. The perimeter is 570 m. Find the length of each side.
Answer:
150, 150, 270
Step-by-step explanation:
let the congruent sides be x, then
the third side is 2x - 30 ( 30 shorter than twice the congruent sides )
The perimeter = 570, hence
x + x + 2x - 30 = 570
4x - 30 = 570 ( add 30 to both sides )
4x = 600 ( divide both sides by 4 )
x = 150
2x - 30 = (2 × 150) - 30 = 300 - 30 = 270
The length of the 3 sides are 150, 150 and 270
Is the following statement true or false
Answer:
Step-by-step explanation:
The answer is true because AB intersects with AC at point A
The answer is True because they both cross over a line
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel?
Answer:
it took a total of 260 minutes or 4 hours and 20 minutes from Collin's house to his hotel.
Step-by-step explanation:
As each of the activities described is an independent activity that does not overlap, we can easily sum up the durations of each to find the total time Collin took from his house to the hotel.
We add it as follows :
he drove to the airport for 45 minutes + he waited at the airport for the flight to depart for 90 minutes + his fight duration was 70 minutes + upon landing, he gathered his luggage for 20 minutes + he drove to the hotel for 35 minutes.
So, 45+90+70+20+35 = 260 minutes
Answer:
The numbers can be added in any order.
Step-by-step explanation:
Just got this quiz question right.
Hope this helps :)
Solve each equation (quadratic pattern)
[tex]2^{2x} -2^{x} =12[/tex]
[tex]3^{2x} + 3^{x+1} =4[/tex]
[tex]4^{x} + 6[/tex] · [tex]2^{x} +8 = 0[/tex]
[tex]9^{x} = 3^{x} +6[/tex]
Answer: x = 2
Step-by-step explanation:
[tex]2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}[/tex]
********************************************************************************
Answer: x = 0
Step-by-step explanation:
[tex]3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}[/tex]
********************************************************************************
Answer: No Solution
Step-by-step explanation:
[tex]4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}[/tex]
********************************************************************************
Answer: No Solution
Step-by-step explanation:
[tex]9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}[/tex]
Factor q^3-125 completely.
The expression [tex]\(q^3 - 125\)[/tex] can be completely factored as [tex]\((q - 5)(q^2 + 5q + 25)\)[/tex] using the difference of cubes formula, where [tex]\(q\)[/tex] is the variable and 5 is the cube root of 125.
The given expression [tex]\(q^3 - 125\)[/tex] can be factored using the difference of cubes formula, which is[tex]\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\)[/tex]. In this case, [tex]\(a = q\)[/tex] and [tex]\(b = 5\)[/tex], as [tex]\(125 = 5^3\)[/tex].
Applying the difference of cubes formula, the factorization becomes:
[tex]\[ q^3 - 125 = (q - 5)(q^2 + 5q + 25) \][/tex]
This is the complete factorization of [tex]\(q^3 - 125\).[/tex]
The question probable may be:
Factorize: [tex]q^3[/tex]-125
The expression q^3-125 is factored completely as (q - 5)(q^2 + 5q + 25), using the difference of cubes formula.
Explanation:To factor the expression q^3-125 completely, we recognize that it represents a difference of cubes since 125 is a perfect cube (5^3).
The difference of cubes can be factored using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2). In our case, a = q and b = 5.
The factored form of the expression is therefore (q - 5)(q^2 + 5q + 25).
Remember that factoring expressions is essential for simplifying equations and solving algebraic problems efficiently.
A number is increased by 50% and then the result is decreased by 50%. What is the percent of decrease from the original number to the final number?
Final answer:
To find the percent of decrease, calculate the difference between the original and final numbers, divide by the original number, and multiply by 100. In this case, the percent of decrease is 25%.
Explanation:
To find the percent of decrease from the original number to the final number, we need to calculate the difference between the original number and the final number, then divide that difference by the original number and multiply by 100 to get the percentage.
Let's assume the original number is x. When the number is increased by 50%, it becomes 1.5x. When the result is decreased by 50%, it becomes 0.5 times 1.5x, which is 0.75x.
The decrease from the original number to the final number is x - 0.75x = 0.25x. To find the percent of decrease, we divide the decrease by the original number (0.25x / x) and multiply by 100 to get 25%. Therefore, the percent of decrease from the original number to the final number is 25%.
Final answer:
The overall percent change from the original number to the final number, after increasing by 50% and then decreasing by 50%, is a 25% decrease.
Explanation:
To find the percentage decrease from the original number to the final one after the series of increases and decreases described, we need to follow a couple of steps:
First, we increase the original number by 50%. If the original number is x, its increased value is x + 0.5x = 1.5x.
Next, we decrease this new number by 50%. The decreased value is 1.5x - (0.5 × 1.5x) = 1.5x - 0.75x = 0.75x.
To find the percentage change from the original value, we calculate (final value - initial value) / initial value × 100%. Using the value obtained from the second step, this becomes (0.75x - x) / x × 100% = -0.25x/x × 100% = -25%.
Therefore, the overall percent change is a 25% decrease from the original number.
PLEASE HELP WILL GIVE BRAINLIEST
What is the point and slope of the line represented by the equation below?
y + 3 = -2(x - 8)
A. slope = -2; point = (8, -3)
B. slope = -2; point = (3, -8)
C. slope = -2; point = (-8, 3)
D. slope = 2; point = (-3, 8)
Answer:
A. slope = -2; point = (8, -3)
Step-by-step explanation:
Compare to the point-slope form for slope m and point (h, k).
y -k = m(x -h)
You see that k = -3, m = -2, h = 8, so ...
the slope is -2the point is (h, k) = (8, -3)Find the lowest common denominator for these fractions and then add and simplify. 2/3 and 1/6
Answer:
Step-by-step explanation:
12 is the common denominator
The answer will be 6!!
Plato Help Please 35points
Stephanie is planning to build a boxed garden in her yard. She has not decided on the exact size of the garden, but Stephanie knows she wants the garden to be a rectangle with the length and width in a specific ratio. She also knows the cost of the materials needed to make the garden. Stephanie uses this information to create the following function to model the total cost, C), in dollars, to build a boxed garden that is x feet wide.
C(x)=2x^2+32
What is the average rate of change in the total cost to build the boxed garden as the width increases from 2 feet to 4 feet?
A.$6 per foot
B.$12 per foot
C.$18 per foot
D.$16 per foot
In the equation x is the feet of width.
If the original width is 2 feet, then X^2 = 2^2 = 4
If the width changes to 4 feet, then x^2 becomes 4^2 = 16
The change is 16 - 4 = 12
The answer should be B. $12 per foot.
Answer:
Option B is correct.
Step-by-step explanation:
Given the function which represent the total cost in dollars to build a boxed garden that is x feet wide.
[tex]C(x)=2x^2+32[/tex]
we have to find the average rate of change in the total cost to build the boxed garden as the width increases from 2 feet to 4 feet.
[tex]C(2)=2(2)^2+32=8+32=40[/tex]
[tex]C(4)=2(4)^2+32=32+32=64[/tex]
[tex]\text{Average rate of change=}\frac{C(4)-C(2)}{4-2}[/tex]
[tex]=\frac{64-40}{2}=\frac{24}{2}=$12 per foot[/tex]
Hence, option B is correct.
Find the slope for the following situations.
Given the equation y = 5x + 1
What is the parent function of the graph?
y = |x|
y = |x| + 4
y = |x – 4|
y = |x| – 4
It would be D. Because K represents the up or down part of the graph. The formula for parents function is (x+ or -h) +or-k. It does not show h being applied to the main point.
I hope this helps
The graph in blue is y = |x|-4 which is the result of shifting y = |x| four units down. The parent graph has the vertex at (0,0).
Manager 1 has 7 years of service, averaged $5000 per day in sales, had a customer Service Rating of 5 and had 83% of projects completed on time.
u didnt ask a question here you dummy thicc sassy block of cheesy
Manager 1, with 7 years of service, achieved an average daily sales of $5,000, maintained a high customer service rating of 5, and successfully completed 83% of projects on time Business involves the production, exchange, or provision of goods and services in pursuit of profit, contributing to economic growth and sustainability.
Manager 1's performance is evaluated based on several key metrics. First, their 7 years of service indicate experience and commitment to the company. Second, the daily sales average of $5,000 reflects their effectiveness in generating revenue. The customer service rating of 5 signifies exceptional customer satisfaction, indicating effective communication and problem-solving skills. Lastly, the 83% on-time project completion rate demonstrates efficiency in managing tasks and meeting deadlines. These attributes collectively suggest that Manager 1 is a valuable asset to the company, with a strong track record of delivering results and maintaining high standards of customer service.
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If a equation of a line y=5x-3 is changed to y=1/5x-3, how is the graph effected? A.The line shifts up B.The line becomes steeper C.The line becomes less steep D.The line now decreases from left to right
Answer:
Option C.
Step-by-step explanation:
we have
[tex]y=5x-3[/tex] -----> equation of a line with slope [tex]m=5[/tex]
Is changed to
[tex]y=(1/5)x-3[/tex] ----> equation of a line with slope [tex]m=1/5[/tex]
Compare the slopes
The slope becomes smaller
therefore
The line becomes less steep
see the attached figure to better understand the problem
If x = 5, what additional information is necessary to show that triangle DAC is congruent to triangle BAC by SAS
Answer:
Lengths of AD and AB. They must be same for theorem SAS
Answer:
[tex]\overline{\rm AD} = \overline{\rm AB}[/tex]
Step-by-step explanation:
Two figures are congruent if they have the same shape and size, although their position or orientation are different. The congruence criteria correspond to the postulates and theorems that state what are the minimum conditions that two or more triangles must meet in order to be congruent. One of the congruence criteria is:
SAS (Side-Angle-Side): Two triangles are congruent if they have two sides and the angle determined by them respectively equal.
So, considering the previous information and the data provided by the problem. Then, the additional information necessary to show that triangle DAC is congruent to triangle BAC is:
[tex]\overline{\rm AD} = \overline{\rm AB}[/tex]
For the following question, find the length of the missing side leave. Your answer in simplest radical form.
Please help I’m so confused on this lesson!
The length of the missing side is √445 meters.
For a right triangle, the Pythagorean theorem states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides (the legs).
In this case, we are given the lengths of the two legs, which are 11 meters and 18 meters. We need to find the length of the hypotenuse, which is the missing side.
Steps to solve:
Step 1: Substitute the given values into the Pythagorean theorem:
[tex]a^2 + b^2 = c^2[/tex]
where:
a = 11 meters (shorter leg)
b = 18 meters (longer leg)
c = the missing side (hypotenuse)
Step 2: Evaluate the equation:
[tex]11^2 + 18^2[/tex]= [tex]c^2[/tex]
121 + 324 = [tex]c^2[/tex]
445 = [tex]c^2[/tex]
Step 3: Take the square root of both sides to solve for c:
c = √445
The length of the missing side is √445 meters
HELP!!!!!!!!!!!!!!!
Find the smallest positive integer $a,$ greater than 1000, such that the equation
\sqrt a - \sart a-x has a rational root.
The smallest positive integer [tex]a[/tex] greater than 1000 such that [tex]\sqrt{a} - \sqrt{a-x}[/tex] has a rational root is [tex]a = 1024[/tex].
To find the smallest positive integer [tex]a[/tex] greater than 1000 such that the equation [tex]\sqrt{a} - \sqrt{a-x} = 0[/tex] has a rational root, we need to analyze the condition given in the equation.
We start from the original equation:
[tex]\sqrt{a} - \sqrt{a-x} = 0[/tex]
This implies that:
[tex]\sqrt{a} = \sqrt{a-x}[/tex]
Squaring both sides will remove the square root:
[tex]a = a - x[/tex]
So, we simplify this to:
[tex]x = 0[/tex]
In this case, it suggests that for the equation to have a rational root, [tex]x[/tex] must be equal to zero, which is a trivial case and not within the scope of finding a number greater than 1000.
Next, we need to find conditions under which [tex]\sqrt{a} - \sqrt{a-x}[/tex] has non-trivial rational roots. We realize that for other values of [tex]x[/tex], the right-hand side requires that [tex]a - x[/tex] must also be a perfect square in order for [tex]\sqrt{a-x}[/tex] to yield a rational number.
Assume [tex]a = n^2[/tex] where [tex]n[/tex] is any integer. Therefore:
[tex]\sqrt{a} = n[/tex]
Then we rewrite the original equation in terms of a new term, say [tex]m[/tex], where:
[tex]a - x = m^2[/tex]
Substituting this, we find that:
[tex]n^2 - m^2 = x[/tex]
This indicates that [tex]x[/tex] must also be a perfect square if we want to maintain the rationality in all cases.
We need to follow this procedure to find the smallest positive integer greater than 1000:
Start with [tex]n = 32[/tex] since [tex]32^2 = 1024 > 1000[/tex]. Test to see if [tex]x = n^2 - m^2[/tex] for some integer [tex]m[/tex] yields a rational number in various scenarios. If [tex]m = 31[/tex], then [tex]x = 32^2 - 31^2 = 1024 - 961 = 63[/tex] (which is rational). If [tex]m = 30[/tex], then [tex]x = 32^2 - 30^2 = 1024 - 900 = 124[/tex] (also rational).While checking values yields rational results, the lowest value of [tex]a[/tex] that successfully gives a rational root while being above 1000 appears to be [tex]1024[/tex].
How long would it take for a ball dropped from the top of a 256-foot building to hit the ground
Whats the distance between the 2 points? (use Pythagorean Theorem)
Your horizontal value (x) is 3 because 5.5-2.5 = 3
Your vertical value (y) is 3.5 because 4.5-1 = 3.5
Pythagoras Theorem
[tex]c^{2}= \sqrt{a^{2}+b^{2} }[/tex]
a = 3
b = 3.5
[tex]c^{2}= \sqrt{3^{2}+3.5^{2} }[/tex]
c = 4.60977222
c = 4.61 to 2d.p.
A supervisor has asked her team to improve its average talk Time Performance the team's average talk time is 13 minutes per call in the average for the call center is 8 minutes per call the following week the supervisor reports the following results John's went from 15 minutes to 16.5 minutes George's went to from 15 minutes to 14 minutes Paul's went from 12 minutes to nine minutes and Ringoes went from 12 minutes to 2 minutes whose performance improve the most While most likely giving the best service to customers?
Answer:
john
Step-by-step explanation:
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (wor)(x) ?
The term (wor)(x) is unclear and needs clarification to accurately find the range. If it refers to the composition of the two functions (w◦r)(x) or (r◦w)(x), different ranges can be obtained.
Explanation:To find the range of (w or r)(x), we first need to evaluate this expression. Our given functions are r(x) = 2 - x² and w(x) = x - 2.
However, the function (wor)(x) is not clearly defined in this case since the term "or" does not have a traditional mathematical operation associated with it in this context. This question may well be referring to the composition of the two functions (w◦r)(x) or (r◦w)(x), but without clear instruction, a definitive answer cannot be given.
If it refers to (w◦r)(x), this means w(r(x)) which equals w(2-x²) = (2 - x²) - 2 = -x².
If it refers to (r◦w)(x), this means r(w(x)) = r(x-2) = 2 - (x - 2)².
Each of these composited functions would have a different range. Please clarify the meaning of (wor)(x) so a definitive answer can be provided.
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I am desperate 98 point for the person who answers this right Polynomials are a close/not closed system under addition and subtraction as are whole numbers and integers/all number/monomial/whole number. When you add or subtract polynomials you end up with other polynomial/whole number/integers/binomials.
Answer:
The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Consequently, polynomials are closed under multiplication. Polynomials are NOT closed under division.
Step-by-step explanation:
Example
What's the degree of the following polynomials?
x2+x
The first monomial has a degree of 2 and the second monomial has a degree of 1. The highest degree is 2 which mean that the degree of the polynomial is 2.
x4+x2+x
4, 2 and 1 , the highest degree is 4 which mean that the degree of the polynomial is 4.
We can add and subtract polynomials. We just add or subtract the like terms to combine the two polynomials into one.
Final answer:
Polynomials form a closed system under both addition and subtraction, meaning the result will always be another polynomial. The basic principle is combining like terms, observing the order of operations and the signs of coefficients.
Explanation:
Polynomials are a closed system under addition and subtraction, just as whole numbers and integers are. This means that when you add or subtract polynomials, the result is always another polynomial. The basic principle in working with addition and subtraction is to combine like terms while paying attention to the signs of the coefficients. When working specifically with whole numbers, you pay attention to maintaining the properties of closure, commutativity (e.g. A + B = B + A), and associativity.
As an example, when adding the polynomials (2x2 + 3x + 1) and (x2 - 4x + 5), you combine like terms to get another polynomial: 3x2 - x + 6. Similarly, subtracting (x - 3) from (2x2 + x + 1) results in the polynomial 2x2 - 2. The resulting expressions following these operations remain as polynomials, not turning into integers or any other type of number.
Please help me out!!!!!!!!
the correct answer would be 46°
It would be 46° but since there is an x = ? The "?" would be replaced with 46°
I hope this helps! ^^ You can just put 46° For your answer.
Let u=ln x and v= ln y. Write ln( √x · y^2) in terms of u and v.
Answer:
C
Step-by-step explanation:
We can use 2 properties of logarithms to write this:
1. ln(x*y) = lnx + ln y
2. ln(a^b) = b ln a
Using property 1, we can write as:
[tex]ln(\sqrt{x} *y^{2})\\=ln(\sqrt{x} )+ln(y^2)\\=ln(x^{\frac{1}{2}})+2lny\\=\frac{1}{2}lnx+2lny[/tex]
We know u = lnx and v = ln y, we simply substitute it now:
[tex]\frac{1}{2}lnx+2lny\\=\frac{1}{2}u+2v[/tex]
the correct answer is C
Answer:
c
Step-by-step explanation:
Bo's gross annual income is $45,408. He is paid semimonthly and has 6% deducted from his paychecks for his 403(b). His employer matches his deduction, up to 3%. How much was deposited into Bo's 403(b) each payday?
113.52
157.18
170.28
227.04
170.28 is the answer
Answer:
170.28
Step-by-step explanation:
Got it right on the test.
The parking lot has 40 cars and 3 4 of the cars have in-state license plates. How many cars have in-state license plates?
3/4 *40 =30.
So 30 cars have in state license
To find how many cars have in-state license plates, multiply the total number of cars (40) by the fraction (3/4). The answer is 30 cars have in-state license plates.
To find the number of cars with in-state license plates, we need to calculate 3/4 of the total number of cars in the parking lot.
First, identify the total number of cars: 40 cars.Then, determine the fraction of cars with in-state license plates: 3/4.Multiply the total number of cars by this fraction: (3/4) * 40.Perform the multiplication: (3/4) * 40 = 30.Therefore, 30 cars in the parking lot have in-state license plates.
Correct question :
The parking lot has 40 cars and 3/4 of the cars have in-state license plates. How many cars have in-state license plates?
Expand
6
∑ 3n
n=2
a.2+3+4+5+6
b.3+6+9+12+15
c.6+9+12+15+18
d.3+6+9+12+15+18
Answer:
Step-by-step explanation:
d.3+6+9+12+15+18 sum 6 terms multiple of 3
Complete the statement: A prime number is a whole number greater than 1 whose only factors are ______ and _______.
first blank- zero (0)
second balnk- the prime number
Answer:A prime number is a whole number greater than one whose only factors are 1 and itself
A real estate broker's base salary is $18,000. She earns a 4% commission on total sales. How much must she sell to earn $55,000 total?
The salary of the real estate broker = $18,000
Commission earned on total sales = 4% or 0.04
Total income earnings = $55,000
Let the total sales be = x
Equation becomes :
[tex]18000+0.04x=55000[/tex]
[tex]0.04x=55000-18000[/tex]
[tex]0.04x=37000[/tex]
[tex]x=925000[/tex]
Hence, the real estate broker must sell $925,000 worth of real estate to earn $55,000.
I'm taking a chance on a spinner with 20 outcomes how likely is to land on an even number
Answer:
50% chance
Step-by-step explanation:
You would have a 50% chance of landing on a even number
need quick help with math!!!
[tex] \frac{5 - \sqrt{2} }{ \sqrt{3} } \\ \\ = \frac{5 - \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{(5 - \sqrt{2} ) \sqrt{3} }{( { \sqrt{3} )}^{2} } \\ \\ = \frac{5 \sqrt{3} - \sqrt{6} }{3} [/tex]