If the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual
when the tree is 3 years old with a height of 14?
A) Predicted value: 13.1
Residual: 0.9
B) Predicted value: 11.8 Residual: 0.2
C) Predicted value: 15.7 Residual: 1.3
D) Predicted value: 18.3 Residual: 0.7
Answer:
A) Predicted value: 13.1 Residual: 0.9
Step-by-step explanation:
By definition:
residual = observed - predicted
The linear model is:
f(x) = 1.3x + 9.2
where f(x) is the height and x is the age of the tree.
Replacing with x = 3:
f(x) = 1.3(3) + 9.2 = 13.1 ft
which is the predicted value. The observed value is 14 ft, then:
residual = 14 - 13.1 = 0.9 ft
HELPPPP
Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6. What is the probability that an incoming freshman scores between 61.6 and 80.2?
Answer:
The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Step-by-step explanation:
We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.
Mean = [tex]\mu = 76[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 61.6
So,[tex]Z=\frac{61.6-76}{6}[/tex]
Z=-2.4
Refer the z table for p value
So,p value =0.0082
At x = 80.2
So,[tex]Z=\frac{80.2-76}{6}[/tex]
Z=0.7
Refer the z table for p value
So,p value =0.7580
P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498
Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
AC =
Round your answer to the nearest hundredth.
40°
4. Find the surface area of the space figure represented by the net.
A 75 cm
B 96 cm2
C 90 cm2
D 69 cm
Find the area. WILL MARK BRAINLIEST
Another angle math problem. I just don’t get it ♀️ Help please.
Answer:
68°
Step-by-step explanation:
Complementary = 90 - 22
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
please answer quickly
Answer:
Step-by-step explanation:
4^3 * 4^4 = 4^(3+4) = 4^7
4^7/4^9 = 4^(7-9)
= 4^-2 = 1/4^2
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answer: up, left, down, right
Step-by-step explanation:
because
Consider the following number line: A A B B C C 1.1 1.1 0 0 Select a reasonable value for Point B Bstart color #11accd, B, end color #11accd. Choose 1 answer: Choose 1 answer: (Choice A) A 2.1 2.12, point, 1 (Choice B) B 5.4 5.45, point, 4 (Choice C) C − 0.9 −0.9minus, 0, point, 9 (Choice D) D − 0.77 −0.77minus, 0, point, 77
Answer:
c.-1.9
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
Vito is a pitcher on his baseball team. This season he has allowed an average of 0.8 hits per inning pitched. If Vito pitcher 160 innings this season how many hits did he allow?
Answer:
200
Step-by-step explanation:
.8x = 160
find the equation of the line in slope-intercept form that has
slope = -1/2 y-intercept = 6
please help meeeeeeeeeeeee
Answer:
x=$16.50/hour
Step-by-step explanation:
(40)(4)x=2640
x=$16.50/hour
The data below shows the scores of some students on a test:
32, 29, 21, 20, 26, 23, 28
Which box plot represents the data?
Answer:
Its the second one
Step-by-step explanation:
PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME
Answer:
Step-by-step explanation:
volume = height * are of the trapezoidal = 9 * (7+11)*4.5 / 2 = 364.5 m3
Answer:
364.5 m³
Step-by-step explanation:
Volume = base area × height
Base area: ½(7+11)×4.5
9×4.5
40.5 m²
Volume: 40.5 × 9
364.5 m³
Two consecutive even Integers whose product is 80
you need to pay 8% tax on a car that costs $12,00. what will you end up paying in total?
Answer:
12960
Step-by-step explanation:
12,000 × .08 = 960
12,000 + 960 = 12,960
Which 2 numbers have a least common multiple of 36?
Answer:
9 and 12,
Step-by-step explanation:
Answer:
nine and twelve (A)
Step-by-step explanation:
The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.
The roof of a house is the shape of an isosceles right triangle as shown in the diagram below.
A right triangle is shown. An altitude is drawn from the right angle to the opposite side to form another right angle. The length of the altitude is h. The length of one of the sides is 10.
What is the height of the roof, h?
5 ft
5 StartRoot 2 EndRoot ft
6 StartRoot 3 EndRoot ft
StartFraction 5 StartRoot 2 EndRoot Over 2 EndFraction ft
Answer:
5 StartRoot 2 EndRoot ft its B
Step-by-step explanation:
The height of the roof is 5 StartRoot 2 EndRoot ft
Isosceles right triangleSince the triangle is isosceles, hence the base angles will be 45 degrees
Using the SOH CAH TOA identity;
Cos 45 = adj/hypGiven
Adj = hHyp = 10Substitute
Cos 45 = h/10
h = 10cos45
h = 10 * 1/√2
h = 5√2
Hence the height of the roof is 5 StartRoot 2 EndRoot ft
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
What’s the answer to this???
Answer:
c
Step-by-step explanation:
Ami and Bert are drawing plans for rectangular vegetable gardens. In Ami's plan, the garden is 16 feet by 13 feet. In Bert's plan, the garden is 18 feet by 18 feet.
Select all true statement(s).
A The area of Bert’s garden is 116 square feet greater than Ami’s.
B The area of Ami’s garden is 208 square feet.
C The area of Bert’s garden is 72 square feet.
D Ami’s garden has a greater area than Bert’s garden.
Answer:
A and B
16 times 13=208
18 times 18=324
Subtract those and you get 116
Answer:
A and B
Step-by-step explanation:
A.) Area of Bert's garden : 324 - Area of Ami's garden 208= 116
B.) Ami's garden is 208 feet if you do 16 x 13
Mark mine as branliest please!
Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13
Answer:
x=7
Step-by-step explanation:
7+2 = 9. 9*15 = 135 degrees
SOLVED
its 160
The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.
Year | Cellular subscriptions / 100 people
1993 | 4 12 25 33 57 72 90 101 101 108
1995 | 12
1997 | 25
1999 | 33
2001 | 57
2003 | 72
2005 | 90
2007 | 101
2009 | 101
2011 | 108
The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is y=−0.107x^2+9.008x−28.851
What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?
Round your answer to the nearest whole number. Enter your answer in the box.
Nvm its 160
Answer:
160
Step-by-step explanation:
x represents the years since 1990, so at 2030, x = 2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:
y = -0.107(40)^2 + 9.008(40) - 28.851 = 160
which is the predicted number of cellular subscriptions per 100 people in Australia in 2030
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours
Answer:
Car 1 and Car 4
Step-by-step explanation:
Car 1-70mph
Car 2-60mph
Car 3-64mph
Car 4-70mph
So, its Car 1 and Car4
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answer:
209
Step-by-step explanation:
The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
What is a Cone's Volume?Volume of a cone = 1/3πr²h
Where, r = radius of the cone, and h = height of the cone.
Given:
π = 3.14Radius (r) = 5 mmHeight (h) = 8 mmThus:
Volume of a cone = 1/3(3.14)(5²)(8)
Volume of a cone = 209 mm³
Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
Learn more about volume of cone on:
https://brainly.com/question/14278632
can someone help me with this I do not understand it?
Answer:
So, the first one is not proportional and therefore has no multiplier.
You are right on the second on both counts!
Step-by-step explanation:
You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.
Can someone pls help me on the last two questions
D for 9, solve the other the same way
Step-by-step explanation:
I am assuming that I am supposed to find the equivalent.
9
[tex]\sqrt{16x^3yz^4}[/tex]
First, separate the square roots.
[tex]\sqrt{16}\sqrt{x^3} \sqrt{y} \sqrt{z^4}[/tex]
Then simplify each.
[tex]4*x\sqrt{x} * \sqrt{y} * z^2[/tex]
Then combine like terms.
[tex]4z^2*x\sqrt{xy}[/tex]
That's D
Now do the same for Number 10.
Sam has $24 in his wallet. He pays $8 to have his car washed. Which expression represents this situation?
a. -24 +(-8)
b. -24 +8
c. 24 + (-28)
d. 24 + 8
Answer:
B
Step-by-step explanation:
Your answer is - 24 + 8.
c2-3c-10c2+5c-14c2-c-2c2-15
Answer:
-13c4 - c3 - 15c2 - 12
——————————————————————
c2
How many combinations of 6 students can a teacher choose from 30 students?
657,720
593,775
180
427,518,000
Answer: 593775
Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775
