1. The correlation coefficient, r, is given for the line of best fit modeling outcomes of several different experiments. Classify the given correlation coefficients as having a strong linear relationship, a weak linear relationship, or no relationship.the last one says no relationship
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The correlation coefficient is used to find how strong a relationship is between data. We have, as a general rule the following:
1) r=1 indicates a strong positive relationship
2) r= -1 indicates a strong negative relationship
3)r=0 indicates no relationship at all.
In this case we have:
Experiment 1: r=0, therefore, there is no relationship
Experiment 2: r=0.28, here we have a weak linear relationship (since it's closer to 0)
Experiment 3: r=0.82, there is a strong positive relationship
Experiment 4: r=0.73, here we have a somewhat strong positive relationship
Related Questions
I need help with a homework problem, for both questions a & b.
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Solution
- We need to find the Z-score that corresponds to the value of x = 208. After this, we can proceed to find the probability of getting a population greater than this value using Z-distribution tables or a Z-score calculator.
- The Z-score formula is:
[tex]\begin{gathered} Z=\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}} \\ where, \\ \sigma=\text{ The standard deviation} \\ \mu=\text{ The mean} \\ n=\text{ The number of data points in the sample} \end{gathered}[/tex]- Thus, we can calculate the Z-score as follows:
[tex]\begin{gathered} X=208,\mu=196.2,\sigma=31.7,n=30 \\ \text{ Thus, we have:} \\ \\ Z=\frac{208-196.2}{\frac{31.7}{\sqrt{30}}} \\ \\ Z=2.03884 \end{gathered}[/tex]- Now, we can apply the Z-score calculator to convert the Z-score to a probability as follows:
- Thus, the probability of getting a population greater than 208 is 0.020733
What is the price for 5 apple juices. apple juice is 3.29 for 6 pack.
Answers
Answer
Option C is correct.
5 apple juices cost 2.74 dollars.
Explanation
6 apple juices cost 3.29 dollars
We are told to calculate the price for 5 apple juices.
To do this, let the price of 5 apple juices be x dollars.
6 apple juices = 3.29 dollars
5 apple juices = x dollars
We can write a mathematical relationship for this by cross multiplying
6 × x = 5 × 3.29
6x = 16.45
Divide both sides by 6
(6x/6) = (16.45/6)
x = 2.74 dollars
Hope this Helps!!!
what is the value of 13.23 x 0.19??
Answers
Given expression :
[tex]\begin{gathered} 13.23\times0.19 \\ \text{write in the fraction form} \\ \frac{1323}{100}\times\frac{19}{100} \\ \text{Multiply the fraction} \\ \frac{25137}{10000} \\ \text{plot decimal to the after last four digit of the numerator} \\ 2.5137 \end{gathered}[/tex]Answer : 2.5137
What is the missing number x in the following equation 4 2/3 + 2 3/x = 7 5/12
Answers
We have the expression:
[tex]4\frac{2}{3}+2\frac{3}{x}=7\frac{5}{12}[/tex]and we have to find the missing number (x):
[tex]\begin{gathered} 4\frac{2}{3}+2\frac{3}{x}=7\frac{5}{12} \\ 4+2+\frac{2}{3}+\frac{3}{x}=7+\frac{5}{12} \\ 6+\frac{2}{3}+\frac{3}{x}=7+\frac{5}{12} \\ \frac{3}{x}=7+\frac{5}{12}-6-\frac{2}{3} \\ \frac{3}{x}=1+\frac{5}{12}-\frac{2}{3} \\ \frac{3}{x}=1+\frac{5-2\cdot4}{12} \\ \frac{3}{x}=1+\frac{5-8}{12} \\ \frac{3}{x}=1-\frac{3}{12} \\ \frac{3}{x}=\frac{12-3}{12} \\ \frac{3}{x}=\frac{9}{12} \\ 3\cdot12=9\cdot x \\ 9x=36 \\ x=\frac{36}{9} \\ x=4 \end{gathered}[/tex]Answer: the missing number is 4.
ad. Name Someodha Date 31220bal Per Kuta Software - Infinite Algebra 2 Properties of Parabolas Identify the vertex of each. + 16x + 64 y 64-128 +64 Yeo 1) y = x² 2) = 2x² - 4x-2 *x-coordivade 2 y=4 x-coordinate * =4,40 200 16 (3.0) y=2018-11-2
Answers
1. The given equation is,
[tex]x^2+16x+64.[/tex]The vertex of the parabola has the coordinate,
[tex](\frac{-b}{2a},\frac{-D}{4a})[/tex]The vertex can be determined as,
[tex]\begin{gathered} (\frac{-16}{2\times1},\frac{4\times1\times64-(16)^2}{4\times1}) \\ (-8,0) \end{gathered}[/tex]Thus, the required vertex is (-8,0).
2.
The given equation is,
[tex]-x^2+18x-75.[/tex]The vertex can be determied as,
[tex]\begin{gathered} (\frac{-18}{2\times(-1)},\frac{4\times(-1)\times(-75)-18^2}{4\times(-1)}) \\ =(9,6) \end{gathered}[/tex]Thus, the required vertex is (9,6).
-2.1a + 7.3 = 1.4a - 10.2
Answers
The given equation is:
[tex]-2.1a+7.3=1.4a-10.2[/tex]Step by step solution:
1. Add 10.2 to both sides:
[tex]\begin{gathered} -2.1a+7.3+10.2=1.4a-10.2+10.2 \\ -2.1a+17.5=1.4a \end{gathered}[/tex]2. Add 2.1a to both sides:
[tex]\begin{gathered} -2.1a+17.5+2.1a=1.4a+2.1a \\ 17.5=3.5a \end{gathered}[/tex]3. Divide both sides by 3.5
[tex]\begin{gathered} \frac{17.5}{3.5}=\frac{3.5a}{3.5} \\ \text{Simplify} \\ 5=a \end{gathered}[/tex]Then a=5
Answer:
Step-by-step explanation:
-2.1a+7.3=1.4a-10.2
7.3=3.5a-10.2
17.5=3.5a
a=5
A savings account balance can be misled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?
Answers
we have the following:
To answer the question we must calculate the slope as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]replacing:
[tex]m=\frac{450-50}{4-0}=\frac{400}{4}=100[/tex]therefore, the rate of change of balance with respect to tge number of deposits is equal a $100
Solve the inequality x + 2.3 ≤ 5.7
Answers
Given the inequality;
[tex]x+2.3\leq5.7[/tex]First, we subtract 2.3 from each sides of the equation. We have;
[tex]\begin{gathered} x+2.3-2.3\leq5.7-2.3 \\ x\leq3.4 \end{gathered}[/tex]5) Write and solve an inequality for the following:Six less than the product of -2 and a number is greater than -18.
Answers
Solution
- Let the unknown number be x. It is this number we are trying to solve for.
- We are told that "Six less than the product of -2 and a number...".
- The product of -2 and a number can be written as:
[tex]-2\times x=-2x[/tex]- The same statement says that we need to make the product of -2 and a number less by 6. That is, we subtract 6 from the product of -2 and a number.
- Thus, we can say:
[tex]-2x-6[/tex]- The above mathematical statement implies "Six less than the product of -2 and a number...".
- Next, we are told that everything is greater than -18. Thus, we can conclude the inequality as follows:
[tex]-2x-6>-18[/tex]- Now that we have the inequality, we can proceed to solve for the unknown number x as follows;
[tex]\begin{gathered} -2x-6>-18 \\ \text{ Add 6 to both sides} \\ -2x>-18+6 \\ -2x>-12 \\ \text{ Divide both sides by -2} \\ \\ -\frac{2x}{-2}<-\frac{12}{-2} \\ \\ \therefore x<6 \\ \\ (\text{ Notice that the inequality sign changed because we divided both sides by a negative number\rparen} \end{gathered}[/tex]- Thus the solution is x < 6
Suppose a triangle has sides a, b, and c, and let o be the angle opposite theside of length a. If cose > 0, what must be true?
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Solution
The correct option is A.
In circle C with mZBCD = 86°, find the angle measure of minor arc BD.DсBAnswer: m BD=Submit Answer
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The measure of an arc is equal to the central angle that contains that arc.
Since C is the center of the circumference, and the central angle BCD has a measure of 86°, then the measure of minor arc BD is:
[tex]\text{mBD}=86^{\circ}[/tex]What is the solution to the equation k + 4 3\4 = 7?k = 2 3\4k = 3 1\4k = 2 1\4k = 3
Answers
Step 1
Given;
[tex]k+4\frac{3}{4}=7[/tex]Required; To find k
Step 2
Find k
[tex]\begin{gathered} k+\frac{19}{4}=7 \\ k+\frac{19}{4}-\frac{19}{4}=7-\frac{19}{4} \\ k=\frac{9}{4} \\ k=2\frac{1}{4} \end{gathered}[/tex]Answer;
[tex]k=2\frac{1}{4}[/tex]2) Mai skated x miles, and Clare skated 3/5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Answers
Explanation
Step 1
Let
x represents the number of miles Mai skated
y represents the number of miles Clare skated
now, translate
Mai skated x mile=x
and and Clare skated 3/5 farther than that. ( we need to add 3/5 to x to get y )
so
[tex]y=x+\frac{3}{5}[/tex]I hope this helps you
the factors of the expression -4 * a + b r -4 +
Answers
We are to determine the factors of the given expression as follows:
[tex]-4\cdot(\text{ a + b ) }[/tex]A factor can be an integer or an expression that is perfectly divisible by dividend. In this case:
[tex]-4a\text{ - 4b }\ldots\text{ Dividend}[/tex]We can make factors of the above expression on the basis of divisibility of the entire expression. Since the values of ( a ) and ( b ) are dissimilar the expression has no divisibility of either of these. Hence, the only common factor of the expression is the integer ( 4 ).
We multiply and divide the entire expression by ( -4 ) as follows:
[tex]\begin{gathered} \frac{-4}{-4}\cdot\text{ ( -4a - 4b ) = -4 }\cdot\text{ ( }\frac{-4a\text{ - 4b}}{-4}) \\ \\ \textcolor{#FF7968}{-4\cdot}\text{\textcolor{#FF7968}{ ( a + b ) }} \end{gathered}[/tex]After the operation of divisibility we get two things. One: Quotient, Two: Remainder. The factors are then expressed as:
[tex]\text{\textcolor{#FF7968}{Factors:}}\text{ Quotient x Remainder}[/tex]The product of two factors expresses the entire expression. Hence, the two factors are:
[tex]\textcolor{#FF7968}{-4}\text{\textcolor{#FF7968}{ and ( a + b )}}[/tex]
2. Lori Koetters was looking at different simple discount notes available to her. She found a note that would cost her $125 in interest at 8% for 90 days. What was the face value?
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Answer:
$6336.81
Explanation:
Given:
• Expected cost of the simple discount note = $125
,• Rate, r = 8%
,• Time = 90 days = 90/365 year
We want to find the face value (or principal).
Using the simple interest formula:
[tex]\text{ Simple Interest}=\frac{Principal\times Rate\times Time}{100}[/tex]Substitute the given values:
[tex]125=\frac{P\times8\times\frac{90}{365}}{100}[/tex]Then solve for the value of P:
[tex]\begin{gathered} 125=\frac{P\times8\times\frac{90}{365}}{100} \\ \text{Cross multiply} \\ 125\times100=P\times8\times\frac{90}{365} \\ Divide\text{ both sides by }8\times\frac{90}{365} \\ P=\frac{125\times100}{8\times\frac{90}{365}} \\ P=\$6336.81 \end{gathered}[/tex]The face value of the note is $6336.81.
Calculate the slope of the line that goes through the points (-15,70) and (5, 10).
Answers
You have the following points:
(-15,70)
(5, 10)
In order to find the slope of the line that crosses the previous points, use the following formula:
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the given points.
replace the values of the coordinates of the points in the formula for m:
m = (10 - 70)/(5 - (-15))
m= (-60)/(5 + 15)
m = -60/20
m = -3
Hence, the slope of the line that goes trough the given points is m = -3
1. Rationalize the numerator of the expression below and simplify your answer.V3 - 2V12+1A
Answers
Answer:
[tex]\frac{-1}{8+5\sqrt{3}}[/tex]The expression we have is:
[tex]\frac{\sqrt{3}-2}{\sqrt{12}+1}[/tex]To rationalize the numerator we must do as follows:
[tex]\frac{\sqrt{3}-2}{\sqrt{12}+1}\cdot\frac{\sqrt{3}+2}{\sqrt{3}+2}[/tex]We multiply the whole expression by the numerator, but we change the sign.
Next, we combine the two fractions:
[tex]\frac{(\sqrt{3}-2)(\sqrt{3}+2)}{(\sqrt{12}+1)(\sqrt{3}+2)}[/tex]Now we use the distributive property to multiply each term (this is to multiply each term in each parenthesis by each term in the other parenthesis besides them).
[tex]\frac{\sqrt{3}\cdot\sqrt{3}+2\sqrt{3}-2\sqrt{3}-2\cdot2}{\sqrt{12}\cdot\sqrt{3}+2\sqrt{12}+1\cdot\sqrt{3}+1\cdot2}[/tex]We simplify the multiplications, and cancel the two middle terms in the numerator:
[tex]\begin{gathered} \frac{\sqrt{3\cdot3}-4}{\sqrt{12\cdot3}+2\sqrt{12}+\sqrt{3}+2} \\ \end{gathered}[/tex]we simplify again:
[tex]\frac{\sqrt{9}-4}{\sqrt{36}+2\sqrt{12}+\sqrt{3}+2}[/tex]We solve the square roots of 9 (which is 3) and 36 (which is 6)
[tex]\frac{3-4}{6+2\sqrt{12}+\sqrt{3}+2}[/tex]Solving the numerator
[tex]\frac{-1}{6+2\sqrt{12}+\sqrt{3}+2}[/tex]And finally what we can do simplify further is to express the square root of 12 as follows:
[tex]\sqrt{12}=\sqrt{4\cdot3}=2\sqrt{3}[/tex]Substituting this into our expression:
[tex]\begin{gathered} \frac{-1}{6+2(2\sqrt{3})+\sqrt{3}+2} \\ \\ \frac{-1}{6+4\sqrt{3}+\sqrt{3}+2} \end{gathered}[/tex]We add 4 and 1 square roots of 3 in the denominar and get 5 square root of 3:
[tex]\frac{-1}{8+5\sqrt{3}}[/tex]also we added 6+2 which is 8.
That is the simplified answer.
Based on the model, the company hired approximatelyVworkers in 2019.The r2 value for this model is 0,56, indicating that this functiona good model of the data
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Given: A large manufacturing company models the no of workers it hired each year after 2010 using the function shown in the graph.
Required: To find out approximately how many workers were hired in 2019.
Explanation: From the graph, we can see that the year 2019 lies on the x-axis at x=9. At x=9, the value of the function is approximately 350.
Now,
[tex]r^2=0.56[/tex]It means that the 56% of the variability in the outcome of the data can not be explained. It can be described as moderate. A value of 0.75 and above is considered good, whereas 0.25 is considered weak.
Final Answer: a) The company hired approximately 350 workers.
b) The function is not a good model for the data.
A square with a perimeter of 32 units is graphed on a coordinate grid. The square is dilated by a scale factor of 2.5 with the origin as the center of dilation. If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding part on the resulting square? (8.30, RS, RC3)
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When transforming a figure by dilation, the scale factor will be multiplied to the x and y points of the figure.
Given:
a.) The square is dilated by a scale factor of 2.5.
Given the scale factor of 2.5. The new coordinates of the resulting square must be:
[tex]2.5x,\text{ 2.5y}[/tex]Therefore, the answer is letter A.
Question attached as screenshot below, please help. I am happy to contribute as much as I can.
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Given
[tex]f(0)=6[/tex]To find the absolute maximum value of f(x) in the interval [0,3].
Explanation:
It is given that,
[tex]f(0)=6[/tex]That implies,
[tex]\begin{gathered} f(0)=0+6 \\ \therefore f(x)=x+6 \end{gathered}[/tex]Hence, the absolute maximum of f(x) is,
[tex]\begin{gathered} f(2)=2+6 \\ =8 \end{gathered}[/tex]help me with this question
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we where given the following
Red = 30
Green = 29
Both Red and Green = 17
if there are 17 of them that likes both kinds of jelly beans, there are 17 of them that like both and those are taken into account for the red and green statistics.
in order to provide a nuber of students that like only red, we must ignore those who like both
so,
Only Red = Red - Both
recall, Red = 30
Both = 17
therefore,
Only Red = 30 -17
Only Red =13
hello this is what I'm working on with my homework. I would like to do a few practice questions with some tutoring thanks
Answers
Explanation
Surface area is the sum of the areas of all faces, the surface area of a triangular prism is given by:
so, add the area is the sum of the areas of those figures
Surface are=sum of areas
[tex]s.a.=(base*depth)+(d*depth)+2(\frac{base*widht}{2})+depth*width)[/tex]Step 1
a)let
[tex]\begin{gathered} base=12\text{ ft} \\ width=\text{ 5 ft} \\ depth=\text{7 ft} \\ d=13 \end{gathered}[/tex]b) now, replace
[tex]\begin{gathered} s.a.=(base*depth)+(d*depth)+2(\frac{base*widht}{2})+depth*width) \\ s.a.=(12*7)+(13*7)+(12*5)+(7*5)\text{ \lparen ft}^2) \\ s.a=84+91+60+35\text{\lparen ft}^2) \\ s.a=270\text{ \lparen ft}^2) \end{gathered}[/tex]Therefore, the answer is
[tex]270\text{ ft}^2[/tex]I hope this helps you
A scientist is studying a form of bacteria that doubles every hour. If the petri dish startswith 2 grams of bacteria, which image and equation best model the growth of thebacteria in the dish?
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If the formula R=-0.037t + 50.1 can be used to predict the world record in the 400-meter dash 400-m after 1925, for what years will the world records be 48.6 seconds or less?
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Step 01:
Data
R=-0.037t + 50.1
Step 02:
Write two questions about this data that you can interpret from the distribution. write the solution to you questions.
Answers
Problem
Solution
For this case we can create the following two questions:
1) what are the mean, median and mode from the data given?
2) What are the standard deviation and the variance from the data given?
you had $193, but you are spending $6 each day. What algebraic expression models this situation?
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Let
x ------> the number of days
y -----> amount of money
we have that
y=193-6x
therefore
The algebraic expression is (193-6x)
Katie has 4 grape candies and 3 cherry candies. The ratio of the number of grape candies to the total number of candies is
Answers
ANSWER
4 : 7
EXPLANATION
Katie has 4 grape candies and 3 cherry candies.
The total number of candies Katie has is:
4 + 3 = 7
The ratio of the number of grape candies to the total number of candies will be given in the form:
a : b
where a is the number of grape candies
b is the total number of candies
Therefore, the ratio of grape candies to the total number of candies is:
4 : 7
Find the future value of this loan.$23,820 at 6.5% for 17 monthsThe future value of the loan is $.(Round to the nearest cent as needed.)P
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we have the formula
[tex]FV=PV\left(1+rt\right)[/tex]where
PV=$23,820
r=6.5%=6.5/100=0.065
n=17 months=17/12 years
substitute in the formula
[tex]\begin{gathered} FV=23,820(1+0.065(\frac{17}{12})) \\ FV=\$26,013.43 \end{gathered}[/tex]Which of the following reasons could be used to correctly complete the proof? Select all that apply1.congruence of angles is reflexive2.congruence of angles is transitive3.congruence of angles is symmetric4. Definition of congruent triangles5.vertical angles are congruent
Answers
We have to prove that
The reflexive property refers to an angle is always congruent with itself. It does not apply in this case.
The transitive property refers that if a is congruent with b, and b is congruent with c, then a is congruent with c. This applies for the third row.
The symmetric property refers to if a is congruent with b, then b is congruent with a. This does not apply here.
The definition of congruent triangles (same angles and sides) does not apply here.
Vertical angles are congruent refers to the fact that angles that share a vertex and are opposite by that vertex are congruent.
For the second row (ABF congruent with BFE), we can apply both "vertical angles are congruent" (ABF congruent with CBD), Option 5, then we know that CBD is congruent with BFE (is given), so we can apply the transitive property (Option 2).
For the third row, we apply the transitive property again (Option 2), as CBD is congruent both with ABF and BFE.
Could I get some help on a question for my homework
Answers
In order to calculate a shift of 5 units up, we need to add 5 units to the function value (that is, the value of y):
[tex]\begin{gathered} y^{\prime}=y+5 \\ y^{\prime}=x^2+5 \end{gathered}[/tex]Then, to calculate a shift of 1 unit to the right, we need to subtract 1 unit from the value of x:
[tex]\begin{gathered} x^{\prime}=x-1 \\ y=(x^{\prime})^2+5 \\ y=(x-1)^2+5 \end{gathered}[/tex]Therefore the correct option is the first one.