The p - value is less than the significance level, we conclude that we must reject the null hypothesis .
Given :
think about testing the significance of the regression slope. when the p-value is less than the significance level, we conclude that.
A Hypothesis Test for a Regression Slope :
State the hypotheses.Determine a significance level to use.the test statistic and the corresponding p-value.you must decide reject or accept the null hypothesis .suppose the p - value less than the significance level we have evidence to reject the null hypothesis.
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write a single statement that declares and initializes an array named a that has 10 elements of type int. the array should be initialized with the following values: 10, 20, 30, 40, 50, 60, 70, 80, 90, and 100
A single statement that declares and initializes an array named a that has 10 elements of type int. is as:
int [] denominations = {10,20,30,40,50,60,70,80,90,100};
We know that there are two ways you can declare and initialize as array in Java.
The first with the new keyword, where you have to initialize the values one by one.
The second is by putting he values in curly brackets.
An Array is a collection of data of the same type. Arrays are an important part of the fundamental data structures in Java.
An Array is usually declared so you can have multiple values in the same memory.
The syntax for declaring an array is: datatype[] arrayName;
Datatype means the type of objects that will be stored in the array ed. int, char,etc.
You can declare an array of arrays by following the array declarator with a list of bracketed constant expressions.
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Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is accurate to within the stated error.sin x = x − x 36 ( | error | < 0.01)
The Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is ( -0.0654 , 0.0654 ) .
Given :
Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is accurate to within the stated error.sin x = x − x^3 / 6 ( | error | < 0.01 )
The next nonzero term in the Taylor series for sine is x^5 / 120 .
x^5 / 120 < .00000001
-0.00000001 < x^5 / 120 < .00000001
-0.0000012 < x^5 < .0000012
( -0.0000012 )^1/5 < x < ( .0000012 )^1/5
we have ( .0000012 )^1/5 ≈ .0654
= ( -0.0654 , 0.0654 )
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where do u get the 150 out of the answer (x+150 (x-10) in the equation x^2+140x-1500?
Answer:
See explanation.
Step-by-step explanation:
Given quadratic:
[tex]x^2+140x-1500[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], first find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
As a = 1, b = 140 and c = -1500, then:
[tex]\implies a \cdot c=1 \cdot -1500=-1500[/tex]
[tex]\implies b=140[/tex]
Therefore, the two numbers are 150 and -10 as:
[tex]\implies 150 \cdot -10 = -1500[/tex]
[tex]\implies 150+(-10)=140[/tex]
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies x^2+(150-10)x-1500[/tex]
Distribute:
[tex]\implies x^2+150x-10x-1500[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(x+150)-10(x+150)[/tex]
Factor out the common term (x + 150):
[tex]\implies (x+150)(x-10)[/tex]
Four triangles are shown.
Triangle H
5 in.
12 in.
A triangle H
B. triangle K
C. triangle L
Triangle K
D. triangle M
4 in.;
12 in.
Choose the two triangles that have the same area.
5 in.
Triangle L
30 in.
2 in.
Triangle M
6 in.
10 in.
10 in.
*not drawn to scale
Answer:
b
Step-by-step explanation:
simplify help plsss......
The simplified expression is (x-2).
What is expression?
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
We are given a function
(x-1)(x-2)x^2-9x+14/(x-7)(x^2-3x+2)
We have to simplify the above expression
And in order to do so we first simplify the quadratic expression into linear expression or factors Then cancel the common terms from numerator and denominator.
On simplifying the expression we get
(x-1)(x-2)(x-7)(x-2)/(x-7)(x-2)(x-1)
On cancelling the common terms we get
x-2
Which is the required simplified expression.
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What is the set of independent variables of a function called?; What do you call the set of all possible values of the dependent variable?; What do you call the set of all possible values for the function?
The set of independent variables of a function called the domain of the function.
Domain is the set of values for which the given function is defined.
The set of all possible values of the dependent variable called the range.
The range of a function refers to all the possible values y could be. The formula to find the range of a function is y = f(x). In a relation, it is only a function if every x value corresponds to only one y value.
The set of all possible values for the function called the the domain of the function.
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A university dean is interested in determining the proportion of students who receive some sort of financial aid: Rather than examine the records for all students the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use 95% confidence interval to estimate the true proportion of students on financial aid: (Type your answers in using PARENTHESES in the CORRECT ORDER and use comma to separate your answers as necessary_ Round to the nearest thousandth)
The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)
In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.
Let p be the population proportion of students who receive some financial aid.
The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.
i.e. n= 200
p{hat} = 118/200 = 0.59
We know that the critical value for 95% confidence interval : z = 1.96
The standard deviation would be,
σ = √[p{hat}(1 - p{hat})/N]
σ = √0.59(1 - 0.59)/200
σ = √(0.0012095)
σ = 0.0348
The 95% confidence interval for population proportion would be,
(0.59 ± (1.96 * 0.0348))
= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))
= (0.5218, 0.6582)
Therefore, the 95% confidence interval : (0.522, 0.658)
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At a large conference of teachers from a variety of subjects, a random sample of 50 mathematics teachers attending the conference was selected. Among the selected mathematics teachers, 28% had taken 1 or more courses in statistics. For which of the following populations is 28% a reasonable estimate of the percentage of those who have taken 1 or more courses in statistics?
(B) All mathematic teachers who attended the conference
(B) All mathematic teachers who attended the conference.
Option B is the correct option.
By statistics, what do you mean?The study and development of techniques for gathering, processing, interpreting, and presenting empirical data are the focus of the science of statistics.
What types of statistics are there?A statistic is a numerical representation of a sample property. One example of a statistic is the average number of points students in one math class got at the conclusion of the term if we assume that class to be representative of the population of all math classrooms.
The significance of statisticsDue to their role in assisting decision-making, statistics are crucial. To track progress, evaluate performance, identify issues, and set priorities, governments, organizations, and corporations all gather statistics.
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Your sorority is preselling tickets for an end of year formal. You will save 22% off the door price by prepaying
$56.40 per ticket now.
How much will you pay if you wait to purchase tickets at the door?
Answer:
$68.81
Step-by-step explanation:
22% of 56.40 can be found by multiplying
.22 and 56.4, which equals 12.408
therefore, if you add 12.408, or 12.41, to 56.40 you will get 68.81
10 pi is = to what
The value of the expression given as 10pi is 31.42
What is the value of the expression illustrated?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
It should be noted that the value of pi is 3.142.
Therefore, the value of 10 pi will be:.
= 10 × 3.142
= 31.42
The value is 31.42.
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A two-factor, independent-measures research study is evaluated using an analysis of variance. The F-ratio for factor A has df = 2, 36 and the F-ratio for factor B has df = 3, 36. Based on this information, what are the df values for the AxB interaction?A. df = 5.72B. df = 6.72C. df = 5.36D. df = 6.36
The degree of freedom value for the A× B intersection is = 6.72
The F value is the value of the F distribution. Various statistical tests generate F values. You can orrect answer is use this value to determine whether your test is statistically significant.
The F value is used in the analysis of variance (ANOVA). It is calculated by dividing the two mean squares. This calculation determines the ratio of explained to unexplained variance.
The F distribution is a theoretical distribution. There are many types of these distributions, each with different degrees of freedom.
Determines the probability of the F value using the degrees of freedom of the F value and the variance source. The probability is the significance value of the test.
AxB intersection:
Interpreting the output of the general linear model command focuses on two parts: the means table and the ANOVA summary table. The average table is the focus of the analysis, while the summary table draws attention to the interesting or statistically significant parts of the average table.
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a group of researchers wants to study the effect of listening to music at different volumes on driving reaction times. they recruit 100100100 volunteers. half of the subjects with fewer than 101010 years of driving experience are randomly assigned to take the test with one music volume, and the other half are assigned to take the test at the other music volume. the same method is used to randomly assign half of the drivers with at least 101010 years of driving experience to each testing condition.
Due to the comparison of the responses of drivers at two distinct volume levels, the experiment reported provides an illustration of matched pairs.
What does the experiment using matched pairings involve?For the purpose of comparing the outcomes and coming to a conclusion about this reaction, matched pairs are a sort of experiment that places one or more people in two distinct scenarios.
According to the aforementioned, the scenario described is an example of matched pairs because it calls for the driver to react to obstacles while listening to music at two different volume levels. In this regard, their results are compared to see if the volume affects their performance and reaction time.
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Christina estimated 188% of 91 by performing these steps. What did she do wrong?
(90) (190 percent) = (90) (100 percent + 90 percent) = (90) (100 percent) + (90) (90 percent) = (90) (1.0) + (90) (0.9) = 90 + 18 = 108.
What Christina did wrong in estimating the percentage is that; She incorrectly multiplied 90 times 0.9
How to calculate the percentage?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
The correct steps should be as follows;
1. (90)(190%)
2. We will break down 190% into 2 sums to get;
(90)(100% + 90%)
3. We will apply distributive property of Algebra to get;
(90)(100%) + (90)(90%)
4. We will convert the percentage to decimal to get;
(90)(1.0) + (90)(0.9)
5. We will multiply out the terms to get;
90 + 8.1
6. We will add up the terms to get; 98.1
Comparing these steps to that of Christina, we can say that what she did wrong was that she incorrectly multiplied 90 times 0.9.
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Dmitry suspects that his friend is using a weighted die for board games. To test his theory, he wants to see whether the proportion of odd numbers is different from 50%. He rolled the die 40 times and got an odd number 14 times.
Dmitry conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of odds is different from 50%
(a) H0:p=0.5H0:p=0.5; Ha:p≠0.5Ha:p≠0.5, which is a two-tailed test.
(b) Use Excel to test whether the true proportion of odds is different from 50% Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places.
As the data says , the null and alternate hypothesis will be H0 :p=0.50 and H1:p ≠ 0.50
Let p stand for the true proportion of odds.
To compare the
null hypothesis H0:P = 0.50
alternative hypothesis H1:p 0.50
Let p represent the sample proportion and n represent the sample size.
here,
p = 14/40
= 0.350
n=40, p₀ = 0.500,
= proportional standard error under null 0.50 * (1 -0.50) /40
= 0.079057
The test statistic is as follows:
z = p - p0 / √ p0 ( 1 - p0) / n )
They follow a typical normal distribution under H0
If P-value 0.05 or |Zobs| > 0, we reject H0 t 0.05 threshold of significance. z0.025
Now,
The test statistic value is -1.897367.
1.959964 is the key value.
P-value = 2*P(Z - 1.897367) + P(|z|>Zobs)
= 2 * 0.028890
= 0.057780≈ 0.0578
Because the p-value is greater than 0.05 and |Zobs| = 1.959964,
As a result, we fail to reject H0 at the 0.05 threshold of significance.
As a result, the population proportion has decreased.
Null and alternate hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always expects no effect or no association between variables, whereas the alternative hypothesis of a test always predicts no effect or no association between variables.
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Answer:
Step-by-step explanation:
Step 1: The sample proportion is pˆ=1440=0.35, the hypothesized proportion is p0=0.5, and the sample size n=40.
Step 2: The test statistic, rounding to two decimal places, is z=0.35−0.50.5(1−0.5)40−−−−−−−−−−√≈−1.897.
Step 3: Since the test is two-tailed and the test statistic is negative, entering the function =2*Norm.S.Dist(−1.90,1) into Excel returns a p-value, rounding to three decimal places, of 0.058.
Write down all the factors of:
1. 12p
2. 16ax^{2}
Answer:
1. 2,2,3,p
2. 2,2,2,2,a,x,x
A company operates on two types of servers: 2 large servers (L) and 4 smaller servers (S), with a combined total of 100GB RAM. Recently a large server and a small server blew out, reducing the total RAM to 60GB. How much RAM does each large server (L), and each small server (S) have?
The RAM of the larger server is 30GB and the RAM of the small server is 20GB.
What is the RAM of each server?The first step is to form a system of equations:
2L + 4S = 100 equation 1
L + 3S = 60 equation 2
The elimination method would be used to determine the required values:
In order to determine the value of S, multiply equation 2 by 2
2L + 6S = 120 equation 3
Subtract equation 1 from equation 3 :
2S = 20
Divide both sides of the equation by 2:
S = 20 / 2 = 10
Substitute for s in equation 1 :
2L + 4(10) = 100
2L + 40 = 100
2L = 100 - 40
2L = 60
L = 60 / 2
L = 30
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Which regular polygon has a minimum rotation of 36ﾟ about its center that carries the polygon onto itself
Answer:
decagon (10-sided polygon)
Step-by-step explanation:
A regular polygon has a minimum rotation of 360/n degrees about its center, where n is the number of sides in the polygon.
Therefore, the regular polygon with a minimum rotation of 36 degrees about its center is a polygon with 360/36 = 10 sides, or a decagon.
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Valeria has been training for the Charlestown Cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode an 8-mile route each morning and a longer route each evening. By the end of the week, she had ridden a total of 115 miles. How many miles did Valeria ride each evening?
Valeria rode for 15 miles in the evening each day.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Valeria has been training for the Charlestown Cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode an 8-mile route each morning and a longer route each evening. By the end of the week, she had ridden a total of 115 miles.
Let the distance she covered in evening be x,
Establishing the equation,
(8+x)5 = 115
8+x = 23
x = 15
Hence, Valeria rode for 15 miles in the evening each day.
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Write an equation of a circle whose
center is (3,-2) and passes through the
point (-5,8).
Answer:
(x-3)^2+(y+2)^2=164
Step-by-step explanation:
radius is
the following expression is being factored. select the two values(with the correct signs) that will fill in the gaps of the parentheses.
x^2 - 10x + 24 = (x ) (x )
-4
+2
+12
-12
+4
+6
-2
-6
Answer:
-4, -6
Step-by-step explanation:
You want the constants that go into the binomial factors of x² -10x +24.
FactorsThe binomial constants used in the factors must have ...
a product of +24
a sum of -10.
The positive product means the two factors have the same sign. The negative sum tells you both signs are negative. The negative answer choices are -2, -4, -6. The only pair with a sum of -10 and a product of +24 is -4 and -6.
= (x -4)(x -6)
Factor 9-64u squared
Answer:
(3 + 8u)(3 - 8u)
Step-by-step explanation:
Conjugated binomials
[tex](9-64u^{2} ) =(3+8u)(3-8u)[/tex]
Hope this helps
Solve for x 4 (x - 20) = -20
Answer:
x = 15
Step-by-step explanation:
4(x - 20) = - 20 ( divide both sides by 4 )
x - 20 = - 5 ( add 20 to both sides )
x = 15
Find the point P on the line y=5x that is closest to the point (52,0). What is the least distance between P and (52,0)
Therefore the point P in the coordinate plane comes out to be (2,10)
and the distance between the points is 50.99 units
What is equation?equation is another name for a declaration of equality between two expressions that contain variables and/or numbers. From solving equations is essentially solving problems, solving equations has been the central goal of mathematics since its inception. There are many distinct types of equations that range in complexity, from simple algebraic equations that merely need addition or multiplication through differential equations, exponential equations that use exponential expressions, and integral equations.
we know that,
the point p on the line y=5x that is closest to the point (52,0) will be on the line perpendicular to the line y=5x and go through the point (52,0)
step 1
the slope m perpendicular to the line y=5x is
m1=5
if two lines are perpendicular
m1*m2=-1
m2=-1/5
step 2
with m=-1/5 and the point (78,0) find the equation of a line
y-y1=m*(x-x1)-----> y-0=(-1/5)*(x-52)----> y=-0.20x+10.4
step 3
resolve the equation systems
y=5x
y=-0.20x+10.4
Thus substituting the values in y of x
=> 5x=-0.20x+10.4
=> 5.20x=10.4
=> x=2
Therefore the point comes out to be
x=2
y=10
The least distance between P(2,10) &(52,0)= 50.99 units
Therefore the point P in the coordinate plane comes out to be (2,10)
and the distance between the points is 50.99 units
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please help. A camper drove 80 miles to a recreational area and then hiked 4 miles into the woods. The rate of the camper while driving was 10 times the rate while hiking. The total time spent hiking and driving was 3 hours. Find the rate at which the camper hiked
Driving is done at a 40 mph speed when a camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods.
Given that,
A camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods. The camper's speed while driving was ten times that of the hiker. Three hours were spent driving and hiking together.
We have to determine the camper's hiking speed.
We know that,
Let x represent the increasing rate and 10x represent the driving rate.
Time equation is
80/10x+4/x=3
Simplify
8/x+4/x=3
12/x=3
x=12/3=4
Therefore, Driving is done at a 40 mph speed when a camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods.
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The ratio of jackals to hyenas is 4 to 7. If
there are 168 jackals, how many hyenas are
there?
If the ratio of jackals to hyenas is 4 to 7 then the number of hyenas will be equal to 294.
What is the ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.
As per the given information in the question,
The ratio of jackals to hyenas is 4 : 7.
Total number of jackals = 168
Let the total number of hyenas be x.
x = (7 × 168)/4
x = 1176/4
x = 294.
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a model airplane takes off at a constant rate of 7 feet per second.
At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide
If a model airplane takes off at a constant rate of 7 feet per second and the initial velocity of 30 feet per second. The time it takes for the plane collision to occur is 1.437 sec.
How to find the time in seconds?Given data :
T seconds = h=7t
h=-16t^2+30x
Let t represent the time
Hence,
7t=-16t²+30x
7t= -7t
0 =-16t² + 23t
0=-2t(8t +11.5)
0=-2t 0 =8t-11.5
0=t 11.5/8 =8t/t
t = 11.5/8
t = 1.437 sec
Therefore the time is 1.437 sec.
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The complete question is:
a model airplane takes off at a constant rate of 7 feet per second.
At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide. Find the time it takes for the plane collision to occur .
the results of a blind taste test experiment; alisha conducted an experiment; what is the probability of an event that is certain; a computer manufacturer is performing a quality check; what is the probability of an event that is impossible; what is the probability of the spinner landing on an odd number; what is the probability of the spinner landing on 1; what is the probability of the spinner landing on 2
On solving the provided question, In the case of four numbers, 1 and 3 are odd and 2 and 4 are even. As a result, the numbers are odd in half, so the answer is 1/2.
what is probability?The proportion of favorable outcomes to all possible outcomes for an event is known as the probability. The quantity of positive outcomes in an experiment with 'n' outcomes is represented by x. The following equation can be used to determine the likelihood of an event:
Probability (event) = positive outcome / overall outcome = x/n
In the case of four numbers, 1 and 3 are odd and 2 and 4 are even. As a result, the numbers are odd in half.
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The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Brand Bose Scullcandy Koss Phillips/O'Neill Denon JVC Price ($) 192 156 90 84 72 48 Score 78 78 60 60 42 a. Does the t test indicate a significant relationship between price and the overall score? The test t-conclusion at ?-.05 t1.68 (to 2 decimal places.)
Based on the given consume reports data, the t value is 2.228.
T - value:
In statistics, t - value measures the size of the difference relative to the variation in your sample data.
Given,
Here we have the tale with price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports.
Now, we need to find the t test indicate a significant relationship between price and the overall score.
While we looking into the question, the values in this one are,
n = 6
And table of 6 stereo headphone price and overall score are given.
Based on the given details we have calculated the frequency table and the table is attached below.
Based on the resulting table we have identified that the value of t is 2.228.
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The hypothesis that motivates most studies and is usually the reason the data are being collected in the first place is the __________ hypothesis.Group of answer choicesnullalternativenormativetestalgorithmic
The hypothesis which motivates the studies which is usually the reason for any data is being collected at first place is called alternative hypothesis.
A hypothesis is an exact clarification that pertains to the set of data that may be examined with the aid of using positive similarly investigations. There are essentially types, namely, null speculation and opportunity speculation. A studies commonly begins offevolved with a hassle. Next, those hypotheses offer the researcher with a few precise restatements and clarifications of the studies hassle.
The standards of the studies hassle withinside the shape of null hypothesis and opportunity hypothesis need to be expressed as a dating among or extra variables. The standards is that the statements need to be the only that expresses the connection among the 2 or extra measurable variables. The null hypothesis and opportunity speculation need to bring clean implications for checking out and mentioning relations.
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Correct Question:
The hypothesis that motivates most studies and is usually the reason the data are being collected in the first place is the __________ hypothesis.
Convert the following Fahrenheit degrees to Celsius.
a. 104°F
b. 41°F
c. 131°F
d. 95°F
Answer:
A) 40
B) 5
C) 55
D) 35
Step-by-step explanation:
The formula is:
[tex]\frac{(F - 32)5}{9}[/tex]
F is the temperature in Fahrenheit.
A)
[tex]\frac{(104-32)5}{9}[/tex]
40
B)
[tex]\frac{(41-32)5}{9}[/tex]
5
C)
[tex]\frac{(131-32)5}{9}[/tex]
55
D)
[tex]\frac{(95-32)5}{9}[/tex]
35
