The t-test yields the probability (p value) that the null hypothesis is option (B) incorrect
The p-value in a t-test represents the probability of obtaining the observed test statistic (or one more extreme) assuming that the null hypothesis is true. The null hypothesis is typically a statement of "no effect" or "no difference" between two groups being compared in the test.
Therefore, a low p-value (generally less than 0.05) indicates that the observed data is unlikely to have occurred by chance under the null hypothesis and suggests that the null hypothesis is likely to be false.
In other words, a low p-value provides evidence against the null hypothesis and in favor of the alternative hypothesis (which typically represents the hypothesis that the researchers are interested in testing).
Thus, the p-value does not directly tell us whether the null hypothesis is correct or incorrect, but rather whether the evidence supports rejecting it or not.
Therefore, the correct option is (B) incorrect
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If 8x+1=64, what is the value of 3²x+1 ?
Answer: 27
Step-by-step explanation:
8^x+1 = 64
8^x+1 = 8²
x+1 =2
x = 2 - 1
x = 1
To Find :
3^2x +1
Substitute the value of x :
3^2(1)+ 1
3^2+1
3^3
27
One year, the population of a city was 322,000. Several years later it was 273,700. Find the percent decrease.
The population of the city has decreased by 15%.
Percentage refers to a way of expressing a number as a fraction of 100, and is often represented by the symbol (%).
To find the percent decrease, we need to determine the difference between the original population and the new population. We can do this by subtracting the new population from the original population:
322,000 - 273,700 = 48,300
This means that the population has decreased by 48,300. To find the percentage decrease, we need to express this as a percentage of the original population. We can do this by dividing the decrease by the original population and then multiplying by 100:
(48,300 / 322,000) x 100 = 15%
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one way that researchers study the effects of trans fats on people's health is by setting up controlled experiments. for example, in an experimental feeding trial, participants agree to stick to specific diets that the researchers prescribe. in this case, the researchers might vary the proportions of saturated, unsaturated, and trans fats in the diet of each participant. throughout the study, the health status of the participants is monitored closely. suppose that you are a researcher designing an experimental feeding trial. how would you set up your study and what limitations would you face? drag the labels onto the flow chart to identify the elements and limitations of your experimental design.
The steps to set up the study and the limitations that would be faced are explained below .
The Steps to setup the study are :
(i) Recruit a large and diverse group of participants who are willing to stick to the prescribed diets for the duration of the study.
(ii) Divide the participants randomly into two or more groups. One group would be given a diet high in trans fats, and the other group(s) would be given a diet low in trans fats.
(iii) Monitor the health status of the participants closely throughout the study .
(iv) At the end of the study, compare the health outcomes of the different groups of participants to determine whether there is a significant difference in health outcomes .
The Limitations of this type of study include :
⇒ the difficulty of controlling all aspects of participants' diets, since participants may consume other foods outside of what is provided to them.
⇒ the study may not be long enough to detect long-term effects of trans fats on health.
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The given question is incomplete , the complete question is
One way that researchers study the effects of trans fats on people's health is by setting up controlled experiments. For example, in an experimental feeding trial, participants agree to stick to specific diets that the researchers prescribe. In this case, the researchers might vary the proportions of saturated, unsaturated, and trans fats in the diet of each participant. Throughout the study, the health status of the participants is monitored closely.
Suppose that you are a researcher designing an experimental feeding trial. How would you set up your study and what limitations would you face ?
What number is exactly halfway between 61 and 547?
Answer:
304
Step-by-step explanation
it was on my quiz
Answer:
The number 304 is exactly halfway between 61 and 547.
Step-by-step explanation:
To find the halfway point between two given numbers we can simply add them together then divide them by 2.
Note:
let [tex]N[/tex] be the number that is halfway
[tex]N=\frac{547+61}{2}[/tex]
[tex]N=\frac{608}{2}[/tex]
[tex]N=304[/tex]
There were 50 guests in a marriage ceremony. 30 were from the groom's family and 20 were from the brides's family. There's a tradition of giving hugs among the groom's family although there's no such traditions in the bride's family. They only shake hands. what's the number of total handshakes?
Note that the members from the bride's family will shake hands with the groom's family too.
Answer:
1020 handshakes including the bride and the groom. 980 excluding the groom and the bride.
Step-by-step explanation:
(20*19) twenty people on the brides side shake hands with the other 19 people (19 because you can't really shake your own hand).
+(20*30) twenty people on the brides side shake hand with 30 people on the grooms side.
+(20*2) twenty people on the brides side shake hands with the bride and the groom.
this equalssss......
1020!!!!
Since the grooms family does hugs instead of handshakes, you'd only calculate how many the brides side does.
Simplify.
(5x-2+3x²)+(4x+3)
O 3x² +9x-1
O 12x4 +1
O 3x²+x+5
O 3x² +9x+1
Answer:
3x² + 9x + 1
Step-by-step explanation:
5x - 2 + 3x² + 4x + 3
= 9x - 2 + 3x² + 3
= 9x + 1 + 3x²
= 3x² + 9x + 1
Question 4 of 10
Given the inequalities y> 3x-1 and y<-2x+ 1 graphed on the same
coordinate grid, which of the following statements are true? Check all that
apply.
A. The line for y=-2x+1 will be solid.
B. Shading will be below the y=-2x+ 1 line and below the y= 3x - 1
line.
C. Shading will be above the y=-2x+1 line but below the y= 3x-1
line.
D. None of the above
SUBMIT
Answer:
Step-by-step explanation:
The correct answer is C. Shading will be above the y=-2x+1 line but below the y= 3x-1 line.
The line y=-2x+1 is a line with a slope of -2 and a y-intercept of 1. It represents the solutions that are greater than -2x+1.
The line y=3x-1 is a line with a slope of 3 and a y-intercept of -1. It represents the solutions that are less than 3x-1.
So, when you graph both of these lines on the same coordinate plane, the solutions that satisfy both inequalities will be the region that is above the line y=-2x+1 but below the line y=3x-1, and this is the region that will be shaded.
You have a 6oz container and a 10oz container and a spout with unlimited water how do you measure exactly 8oz
Answer:
firstly, I would fill up the 10-oz glass with juice and use it to fill the 6-oz glass. This would leave me with 4 oz left in the 10-oz glass
Step-by-step explanation:
Triangles PQR and XYZ are equilateral triangles. The sides of PQR are
5 inches long. One side of XYZ is (2x - 3) inches. What value of x
makes the triangles congruent?
Answer:
x = 4
Step-by-step explanation:
2x - 3 = 5 Add 3 to each side
2x - 3 + 3 = 5 + 3
2x = 8 Divide both sides by 2
[tex]\frac{2x}{2}[/tex] = [tex]\frac{8}{2}[/tex]
x = 4
the mariana trench is about 11km deep. mount everest is about 29,000 ft high. what is the total height change from the top of mount everest to the bottom of the mariana trench, expressed in miles?
Using unit conversions the total height change from the top of mount Everest to the bottom of the Mariana trench is 12.3 miles
We know that 1 km = 0.62136 miles and 1 foot = 0.000189 miles
Depth of Mariana Trench (d) = 11 km = 11 × 0.62136
= 6.835 miles
Height of Mount Everest (h) = 29000 ft = 29000 × 0.000189
= 5.492 miles
Therefore the total height difference top of Mount Everest and to bottom of the Mariana Trench is given by
H = Depth of Mariana Trench + Height of Mount Everest
H = d + h
H = 6.835 miles + 5.492 miles
H = 12.327 miles
H = 12.3 miles
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34 on april 18, 1775, paul revere set off on his midnight ride from charlestown to lexington. if he had ridden straight to lexington without stopping, he would have traveled 11 miles in 26 minutes. in such a ride, what would the average speed of his horse have b
The average speed of Paul Revere's horse, assuming he rode straight to Lexington without stopping, would have been approximately 25.4 miles per hour.
To find the average speed of Paul Revere's horse, we can use the formula:
average speed = total distance / total time
In this case, the total distance is 11 miles, and the total time is 26 minutes, or 0.4333 hours (since there are 60 minutes in an hour).
So, the average speed of Paul Revere's horse would be:
average speed = 11 miles / 0.4333 hours
average speed ≈ 25.4 miles per hour
Therefore, the average speed of Paul Revere's horse, to the nearest tenth of a mile per hour, would have been 25.4 miles per hour.
Using the formula for average speed, we can calculate that Paul Revere's horse would have had to travel at an average speed of approximately 25.4 miles per hour to cover the 11-mile distance in 26 minutes. This assumes that he rode straight through without stopping.
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The complete question is:
On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?
an art teacher hhd 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers hhd paint in them including the one that was partially filled
Answer: 6 containers
Step-by-step explanation:
Fraction division.
2/3 divided by 1/8.
Keep-change-flip. (or a similar method for dividing fractions)
2/3 times 8/1 is 16/3.
He will fill 5 and 1/3 containers, so 6 containers will have paint in them.
(っ◔◡◔)っ ♥
Hope this helps.
MM4343
two cities are 1020 miles apart. Two trains simultaneously left these cities heading toward one another. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours, the trains had not met yet and were 170 miles apart. Find the speed of the trains.
The speed of both the trains would be 400 mph and 450 mph respectively.
What is the formula to calculate the distance travelled?The formula to calculate the distance travelled is -
Distance = Speed x Time
Given is that two cities are 1020 miles apart. Two trains simultaneously left these cities heading toward one another. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours, the trains had not met yet and were 170 miles apart.
Let the speed of one train be {x} mph. Then, the speed of the other train would be {x + 10} mph.
Distance covered by both the trains would be -
train { 1 } = 5x ... { 1 }
train { 2 } = 5(x + 10) ... { 2 }
Now, we can write -
1020 - {5x + 5(x + 10)} = 170
1020 - 170 = 10x + 50
10x = 800
x = 80
Speed of train { 1 } = 400 mph
Speed of train { 2 } = 450 mph
Therefore, the speed of both the trains would be 400 mph and 450 mph respectively.
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question 6
help me asap
The approximate length of arc CB is given as follows:
14.17 cm.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the multiplication of 2 by the number π = 3.14 and the radius r, as follows, hence the equation is given as follows:
C = 6.28r.
The radius for this problem is given as follows:
r = 7 cm.
The angle relative to arc CB is given as follows:
2 x 58º = 116º.
As an entire circumference has an angle of 360º, the approximate length of arc CB is obtained as follows:
116/360 x 6.28 x 7 = 14.17 cm.
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Find b and then solve the equation
2x^2+bx-10=0 if one of its roots is 5
well, since we know that one root is 5, that is a factor of it is (x-5), so hmmm by the remainder theorem we also know that if we plug "5" as our argument in our f(x), that is, if we do f(5), it must result to 0. so f(5) = 0, if that's so then
[tex]2x^2+bx-10=f(x)\implies 2(5)^2+b(5)-10=f(5) \\\\\\ 2(5)^2+b(5)-10=0\implies 50+5b-10=0\implies 5b=-40 \\\\\\ b=\cfrac{-40}{5}\implies \boxed{b=-8} \\\\[-0.35em] ~\dotfill\\\\ 2x^2-8x-10=0\implies 2(x^2-4x-5)=0\implies 2\stackrel{ {\Large \begin{array}{llll} x=-1 \end{array}} }{(x+1)}(x-5)=0[/tex]
You take an SRS of size 500 from the 37,000 students at Purdue University and measure individual’s heights. You then take an SRS of size 250 from the 4,400,000 adults in the state of Indiana and measure their heights. Assuming the standard deviation of individual heights in the two populations is the same, the standard
deviation of the sampling distribution of mean heights for the Indiana sample is
(a) larger than for the Purdue sample because the sample size is smaller.
(b) larger than for the Purdue sample because it uses a smaller fraction of the population.
(c) smaller than for the Purdue sample because the sample size is smaller.
(d) smaller than for the Purdue sample because it uses a smaller fraction of the population.
(e) impossible to determine because of sampling variability.
Larger than for the Purdue sample because the sample size is smaller. Therefore, the option A is the correct answer.
What is margin of error?Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.
Given sample size = 500
Total outcomes = 37,000
The margin of error in a 95% confidence
The margin of error is given by
Margin of error (statistic) = Critical value x Standard error of the sample.
So, according to the given condition margin of error in a 95% confidence is same as for the Purdue sample because both are samples of size 500, because it depends on sample size.
Therefore, the option A is the correct answer.
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Help ASAP! PLEASE HELP ME!
The solution is Option A.
The conversion factor should have gallons in the denominator and the equation will be 350 gallons = 92.3 L
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the amount of gallons of water be = 350 gallons
And , 1 gallon = 3.79 liters
So , the amount of 350 gallons = ( 350 ) x ( 1/3.79 ) L
Substituting the values in the equation , we get
The amount of 350 gallons = ( 350 / 3.79 ) L
On simplifying the equation , we get
The amount of 350 gallons = 92.3 L
Therefore , while converting the gallons to liters , the factor of gallons should be in the denominator
Hence , the equation is 350 gallons = 92.3 L
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In circle M with m/LMN = 84 and LM = 13 units find area of
sector LMN. Round to the nearest hundredth.
Answer:
123.88 square units
Step-by-step explanation:
r = radius of circle
= radius of sector
= Length of LM
= Length of MN
= 13 units
When the angle is measured in degrees:
Area of a sector: [tex]\frac{Angle OfSector}{360^{o}}[/tex]× [tex]\pi r^{2}[/tex]
= [tex]\frac{84}{360}[/tex]×[tex][\pi (13)^{2}][/tex]
= 123.883 [tex]units^{2}[/tex]
= 123.88 square units (Rounded to the nearest hundredth)
Please help me by determining the value of the missing angle using the inverse trig function.
On solving the provided question, we cans ay that in this triangle by Pythagorean theorem [tex]A^2 = B^2 + C^2[/tex] => AC = [tex]\sqrt{115}[/tex]
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here, in this triangle by Pythagorean theorem
[tex]A^2 = B^2 + C^2[/tex]
AC = [tex]\sqrt{14^2 - 9^2}[/tex]
AC = [tex]\sqrt{196 - 81}[/tex]
AC = [tex]\sqrt{115}[/tex]
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Jayden and Ramon are members of a bowling league. Jayden plans to order
custom team shirts and he has narrowed his options down to two companies.
Designs n More will charge a $10 design fee and $7.50.per shirt: Custom
Creations charges $9 per shirt and does not charge a design fee.
Equating the mathematical expressions, for the total costs of both companies to be the same, Jayden and Ramon must buy about 7 shirts.
What is a mathematical expression?A mathematical expression consists of the combination of variables, values, constants, and numbers using mathematical operands.
A mathematical expression is not the same as an equation, which states that two mathematical expressions are equal.
Designs n More Custom Creations
Design Fee $10 $0
Variable cost per shirt $7.50 $9.00
Let the number of shirts = x
Designs n More's total costs = 10 + 7.5x ... Expression 1
Custom Creations' total costs = 9x ... Expression 2
For the total costs of both companies to be the same, the two expressions for their total costs will be equal:
10 + 7.5x = 9x
10 = 1.5x
x ≈ 7
Thus, approximately, 7 shirts need to be bought for the total costs to be the same.
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Question Completion:How many shirts will make the two companies' total costs the same?
The rate per cent per annum at which
$1200 is invested to gain $ 72 in simple
interest in three years is
(A) ½
(B) 2
(C)
(D)
9¹/2
18
Help ASAP.............
Answer: about 1587 cm^2
Step-by-step explanation: The equation for area of circle is A= πr^2 OR A= (pi/4)d^2
Given the diameter is 46.7, the radius would be half of that which is 23.35.
Simply plug it into the equation
A = π23.35^2
OR
A= (π/4)46.7^2
Since you are using 3 in place of pie, it would be 3(23.35)^2 OR (3/4)46.7^2
the answer i got was 1,635 cm^2 so your closest choice to that is 4
A plant is already 9 centimeters tall, and it will grow one centimeter every month.
Let be the plant's height (in centimeters) after months.
Write an equation relating to . Then graph your equation using the axes below.
Answer:
p + (m × 1) = t
If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:
(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)
p + (m × 1) = tTherefore, the equation you can use is p + (m × 1) = t.
Please help me on this I am confused find the value of x pls pls pls pls pls pls pls pls pls pls pls pls pls.
The value of x is given as follows:
x = 130º.
How to obtain the value of x?To obtain the value of x, we must consider the exterior angle theorem, which states that each interior angle is supplementary with it's interior angle, meaning that the sum of their measures is of 180º.
As the interior angle is of 50º, the measure of the exterior angle x is given as follows:
x = 180 - 50
x = 130º.
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I NEED HELP, THIS IS DUE TODAY AND IM CONFUSED.
The value of x that makes the shape a parallelogram is 2/3
What is a quadrilateral?A quadrilateral is a polygon that has four sides and four angles. Types of quadrilaterals are kite, square, rectangle, parallelogram and so on.
A parallelogram is a quadrilateral with two pairs of parallel sides. Each parallel sides are equal. Also, the diagonals of a parallelogram bisect each other.
From the diagram, the diagonals bisect each other in other to be a parallelogram, hence:
6x = 3x + 2
3x = 2
x = 2/3
The value of x is 2/3
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4 Write an expression
explaining the depth of
an Olympic pool that
goes to 50 ft. deep.
The depth of an Olympic pool that goes to 50 ft. deep can be expressed as:
d = 50 ft.
What is olympic pool?
Olympic pool is a type of swimming pool that is used for competitive swimming and diving events. These pools typically have a uniform depth, a smooth and flat bottom and multiple lanes for swimmers to compete in.
The depth of an Olympic pool that goes to 50 ft. deep can be expressed as:
d = 50 ft.
Where d is the depth of the pool. This expression simply states that the depth of the pool is equal to 50 ft.
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What shows the number of each type of greeting card at a gift shop had remaining at the end of the year the store created bags with 15 random cards in each bag how many complete bags of cards were they able to make
Using the unitary method, we find that the store created approximately 37 bags with 15 random cards in each bag.
This problem can be solved using the unitary method. It is given that the
number of Anniversary cards is 163,
number of Birthday cards is 258,
number of Get Well cards is 98
and the number of Thank you cards is 47
So, the total number of cards will be equal to the sum of all these cards, that is,
163+258+98+47
= 566 cards
To create bags of 15 random cards, we have to divide the total number of cards by 15 which gives,
566/15 = 37.734
Thereby, we can say that the store created approximately 37 bags with 15 random cards in each bag.
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Robert tutors two students, Andy and Sue. Andy pays robert $70 per month. Sue pays $50 per month how many months will Robert have to tutor until he earns $600?
Answer: 5 Months
Step-by-step explanation:
Alright, we know he will make $120 a month (since 50 + 70 = 120)
(Let's have months=m)
So now we need to figure out for how many months (m) will he need to get to $600.
We know 120 a month so we can get the equation: 120m=600
Now all we have to do is solve for m
Divide both sides by two to get m=5
Checking Answers
70(5)=350
50(5)=250
250+350=600
So this solution works.
Answer: 5 months
Step-by-step explanation: so, what you have to do is add up 120 5 times so in total you will have 600 so the answer is 5 months.
christian has a collection of 18 shark teeth. he identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as bull shark teeth, what does the ration 6:8 represent in this situation
Answer:
Check below
Step-by-step explanation:
Number of tiger shark teeth = 6
Number of sand shark teeth = 8
Number of tiger shark teeth : Number of sand shark teeth
6 : 8
∴ 6 : 8 ratio representation
Answer:
6:8
Step-by-step explanation:
12.5 × 1.989 pls help me
