For questions 8 - 15, use the following set of data to find the equation of the line of
best fit and assess the fit of the equation by plotting and analyzing residuals.
The data below show the mean swimming speed (m/s) of basking sharks of various
lengths (m)
Length (m) Speed (m/s) Predicted speed Residual
2.5
3
3.5
4.5
5
4.8
5.5
5.2
6
5.5
a Calculate the line of best fit Round a and b to the nearest hundredth.
Answer:
Y^= 1.767 + 0.6294X when rounded give s Y^= 1.77 +0.63X
b= 0.6294 rounded to 0.63
a= 1.77
The predicted lines are for each X and Y
3.340,3.96, 4.914, 5.228, and 5.543
Step-by-step explanation:
The data given is
Length (m) Speed (m/s) Predicted Line
2.5 3 3.340
3.5 4.5 3.96
5 4.8 4.914
5.5 5.2 5.228
6 5.5 5.543
The calculations are
Xsquare XY Y X
6.25 7.5 3 2.5
12.25 15.75 4.5 3.5
25 24 4.8 5
30.25 28.6 5.2 5.5
36 33 5.5 6
Total 109.75 108.85 23 22.5
The estimated regression line of Y on X is
Y^ = a +bX
and two normal equations are
∑Y = na + b∑X
∑XY= a∑X + b∑X²
Now X`= ∑X/ n= 22.5/5=4.5
Y`= ∑Y/ n= 23/5= 4.6
b= n∑XY- (∑X)(∑Y) / n∑X²- (∑X²)
Putting the values
b= 5(108.85) - (23)(22.5)/ 5(109.75)- (22.5)²
b= 544.25-517.5/ 548.75-506.25
b= 26.75 /42.5
b= 0.6294
and
a= Y`- bX~= 4.6- 0.6294(4.5)= 4.6-2.823= 1.767
Hence the
desired estimated regression line of Y on X is
Y^= 1.767 + 0.6294X
Y^= 1.77 +0.63X
The estimated regression co efficient b= 0.6294 indicates that the values of Y increase by 0.6294 units for a unit increase in X.
Ms. Brand spends $24 on 8 bags of chips for a party. How much does each bag of chips cost? (aka, what is the constant of proportionality?
Answer:
3$ hgggggggggggggggggggggggggggggg
Step-by-step explanation:
24÷8=3
hello please help i’ll give brainliest
Answer:
Option B) His teachings became government philosophy.
PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=1
Answer:
a = 2, b = -4Step-by-step explanation:
To make the given piecewise function continuous we need:
ax² - b = 6 and 5ax + b = 6 at x = 1It gives us the system:
a(1²) - b = 6 ⇒ a - b = 65a(1) + b = 6 ⇒ 5a + b = 6Sum of the two:
a - b + 5a + b = 6 + 66a = 12a = 2Then b is:
2 - b = 6b = -4Express (2x + 2)(2x^2+ 9x + 7) as a polynomial in standard form
Answer:
4x^3 + 22x^2 + 32x + 14
Step-by-step explanation:
hope this help not sure if right though
a class has ten girls and three boys. if the teacher randomly picks ten students,what is the probability that he will pick all girls?
Answer:
10/13
Step-by-step explanation:
You will first add all the students the mentioned which gives you 13 then since they ask what is the probability it the teacher would pick girls. You know there's 10 girls and 3 boys so it would be 10/13.
There are 255 calories in 6 ounces of a type of ice cream. How many calories are in 8 ounces of that ice cream?
Answer:
340
Step-by-step explanation:
255 divided by 6 equals 42.5
255 plus 42.5 times 2
A pitcher of punch is 1/3 full. 5 people share the punch equally. How much of the remaining punch do they each get?
Answer:1 / 15 of the pitcher
Step-by-step explanation:
The pitcher is 1/3 full and 5 people want to equally share it.
The equal amount is found by dividing 1/3 by 5:
= 1/3 ÷ 5
= 1/3 * 1/5
= 1/15 of the pitcher
Each person gets 1/5 of the pitcher
I need help with this question
Answer:
1 <—5⁰
25<—5²
1/25<—5-²
5<—5¹
pleaseee helpp!! no links or i’m reporting
Answer:
Use math away website lol
Step-by-step explanation:
anyone know the answer
Answer:
the third one
Step-by-step explanation:
hope this helps
Write the opposite of each integer.
-(-8)
-(-65)
PLS HELP ME TYSM
Answer:
it should be -8 and -65 you would use parentheses first then you would have the negative integers in it's place
What is the slope of a line perpendicular to the line whose equation is 3x-3y=543x−3y=54. Fully simplify your answer.
if i have a 100.91 as my grade and let's just say i would get a 0/100 what would be my grade?
In a board game, each player must roll a number cube and spin a spinner. The number cube is labeled with the numbers 1 through 6 and the spinner
consists of 8 equal parts shown below. What is the probability you will roll a 3 and land on red?
1/10
3/8
1/24
2/3
Answer:I think the answer is 5/12.
Step-by-step explanation:
Sorry if I am wrong. :) but it should be correct.
Mona wants to buy carpet for a floor in her house.
The floor is rectangular with a width of 5 m and a length of 7 m.
Two shops sell carpet with the prices shown below.
How much will Mona save by going to Carpet World ?
Answer:
13.05
Step-by-step explanation:
I Need Help!!
Identify each congruence transformation that maps ABC to DEF
Answer:
A and F
Step-by-step explanation:
Option A works as a transformating, and option a is the same as potion f
The transformation given in option [1] is the correct transformation that maps ABC to DEF.
What is an expression? What is a triangle?A mathematical expression is a combination of terms separated by mathematical operators. For example : 2x + 3y + 6. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as - equilateral triangle , scalene triangle , isosceles triangle etc.
We have two triangles as shown in the image.
The coordinates of a triangle ABC are shifted 6 units downward and then the complete figure is reflected across the y - axis.
Therefore, the transformation given in option [1] is the correct transformation that maps ABC to DEF.
To solve more questions on 2 -D figures, visit the link below-
brainly.com/question/25950519
#SPJ2
Solve 5x/3 + 2/5 = 1
x = 9/25
x= 25/9
x= 3/25
x = 9/27
Answer:
[tex]x=\frac{9}{25}[/tex]
x = 0.36
Step-by-step explanation:
5x/3 + 2/5 = 1
5x/3 + 2/5 - 2/5 = 1 - 2/5
[tex]\frac{5x}{3} = 0.6[/tex]
5x/3 × 3 = 0.6 × 3
5x = 1.8
5x ÷ 5 = 1.8 ÷ 5
[tex]x=\frac{9}{25}[/tex]
x = 0.36
Stella invested $6100 in an account paying interest rate of 6 1/2 % compounded monthly. Katherine invested $6100 in an account paying an interest rate of 6 5/8 % compounded quarterly. After 7 years how much more money would Katherine have in here account than Stella, to the nearest dollar
Answer:
Katherine would have $109.54 more than Stella.
Step-by-step explanation:
Giving the following information:
Stella:
Initial investment (PV)= $6,100
Interest rate (i)= 0.065/12= 0.0054 per month
Number of periods (n)= 7*12= 84
Katherine:
Initial investment (PV)= $6,100
Interest rate (i)= 0.06625/4= 0.0167
Number of periods (n)= 7*4= 28
To calculate the future value, we need to use the following formula:
FV= PV*(1 + i)^n
Stella:
FV= 6,100*(1.0054^84)
FV= $9,589.5
Katherine:
FV= 6,100*(1.0167^28)
FV= $9,699.04
Difference= $109.54
Katherine would have $109.54 more than Stella.
Please help me with number 13 and 14 i really need help
Answer: The answer to number 13 is true because when you graph it, it is a straight line and the answer to number 14 is false because you can't graph an exponent.
Please help me with this question
Answer:
4,410
Step-by-step explanation:
Kelly was baking bread but could only find her ⅛ cup measuring cup. She needs ¼ cup sugar, ¾ cup whole wheat flour, and ½ cup all-purpose flour. How many ⅛ cups will she need for each ingredient?
Answer:
Number of 1/8 cups of sugar needed = 2
Number of 1/8 cups of whole wheat flour needed = 6
Number of 1/8 cups of all purpose flour needed = 4
Step-by-step explanation:
Recipes Kelly needs:
Sugar = 1/4 cups
Whole wheat flour = 3/4 cups
All purpose flour = 1/2 cups
She could only find her ⅛ cup measuring cup.
How many ⅛ cups will she need for each ingredient?
Number of 1/8 cups of sugar needed = cups of Sugar needed / 1/8 cups
= 1/4 ÷ 1/8
= 1/4 × 8/1
= 8/4
= 2
Number of 1/8 cups of sugar needed = 2
Number of 1/8 cups of whole wheat flour needed = cups of whole wheat flour needed / 1/8 cups
= 3/4 ÷ 1/8
= 3/4 × 8/1
= 24/4
= 6
Number of 1/8 cups of whole wheat flour needed = 6
Number of 1/8 cups of all purpose flour needed = cups of all purpose flour needed ÷ 1/8 cups
= 1/2 ÷ 1/8
= 1/2 × 8/1
= 8/2
= 4
Number of 1/8 cups of all purpose flour needed = 4
Consider the division expression 7 ½ ÷ 2. Select all multiplication equations that correspond to this division expression.
Answer:
i dunno
Step-by-step explanation:
but i need the points to ask questions
Help plsss anyone help plss
Answer:
B. experimental probability
Step-by-step explanation:
It wasn't A because the coin was flipped making it an experiment.
Option C is just wrong.
So that leaves you with option B as your answer.
Hope this helps.
Cada material en sus distintos estados de agregacion, cambia de volumen de forma diferente, sin embargo todos lo hacen en cierta medida. A esta propiedad se le llama
La respuesta correcta para esta pregunta abierta es la siguiente.
Aunque no se anexaron opciones o incisos para contestar, podemos comentar lo siguiente.
Cada material en sus distintos estados de agregación, cambia de volumen de forma diferente, sin embargo todos lo hacen en cierta medida. A esta propiedad se le llama Estados de Agregación de la Materia.
Las substancias cambian su composición debido a la presión o al cambio de temperatura a la que son sometidos. A ese proceso se le conoce como el estado de agregación de la materia, cuando las moléculas y átomos que constituyen esa matera se ve sometido a una transformación en su composición.
Podemos reconocer comúnmente cuatro estados de transformación de la materia, que son, el estado de plasma, el estado gaseoso, el estado líquido y el estado sólido
plz help i been asking way too much and brainiest
Answer:
2 1/6 ft = 26 in
3 3/4 ft = 1 1/4 yrd
2 1/2 c = 1 1/4 p
3 2/3 yrs = 44 months
Step-by-step explanation:
Conversion:
ft to in = ft x 12
ft to yards = ft / 3
c to pints = c/2
yrs to months = y x 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
26 in, 1 1/4 yd, 1 1/4 pt, 44 months
Step-by-step explanation:
1ft=12in
12• 2 1/6=26in
3ft=1yd
3 3/4 ÷3= 1 1/4yd
2c=1pt
2 1/2 ÷ 2=1 1/4 pt
12months =1 year
3 2/3 • 12 = 44 months
can someone PLEASE HELP ME PLEASE?? trying to correct answers and i don't understand anything!!!
would really appreciate help
The area of a right triangle is 120 square centimeters. The base of the right triangle is 24 centimeters.
The length of the hypotenuse of the right triangle is ___ centimeters.
Answer:
26 centimeters
Step-by-step explanation:
other side of the triangle = 10 cm
use pythagora and sqrt to find 26
What was Jackie's mistake?
Jackie is asked to find the value of x in the following set of complementary anges.
Answer:
x=37
Step-by-step explanation:
Complementary angles are a set of 2 angles that when added together, add up to 90. In order to solve for x, both angles have to be added and set to be equal to 90... but Jackie only used one of the angles, not both. The correct equation is: x+16+x=90
Answer:
Jackie forgot to add variable X
Step-by-step explanation:
Jackie Did
X +16= 90
equation :
x+x+16= 90
The radius of a circle is 7 inches. What is the circle's area?
r=7 in
Use 3.14 for .
square inches
Answer:
153.86
Step-by-step explanation:
3.14 x (7x7) = 153.86
Help me please ASAP thank youuuuuu
Answer: 2 54
Step-by-step explanation: