(b) The test statistic for the t-test would be -29.96.
(f) The predicted average cob weight when there are 134 plants in the plot is 264.39 grams, and it may not be reliable due to the extrapolation beyond the observed range of plant density.
(8) The estimated change in cob weight for a five-unit increase in plant density is -3.60 grams, indicating a decrease.
(b) To perform the t-test, we need to calculate the t-statistic using the formula: t = (β1 - 0) / (SE(β1)), where β1 is the coefficient estimate for plant density and SE(β1) is its standard error. Here, the coefficient estimate for plant density is -0.720626 and its standard error is <0.0001, so the t-statistic is -29.96.
(f) To predict the average cob weight when there are 134 plants in the plot, we use the regression equation: Cob Weight = Intercept + (Plant Density x β1). Substituting the given values, we get Cob Weight = 316.37619 + (134 x -0.720626) = 264.39 grams. However, this estimate may not be reliable as it is an extrapolation beyond the observed range of plant density.
(8) The estimated change in cob weight for a five-unit increase in plant density can be calculated as: ΔCob Weight = 5 x -0.720626 = -3.60 grams, indicating a decrease. The negative sign indicates that as the plant density increases, the cob weight decreases.
(j) The intercept represents the predicted value of the response variable (cob weight) when the predictor variable (plant density) is zero. However, in this problem, it is not meaningful as it is not possible to have zero plant density in a cornfield. Therefore, interpreting the intercept is not appropriate in this context.
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how to find principal without interest
Answer:
Step-by-step explanation:
What Is a Principal Amount?
Principal amount on a loan is the amount borrowed. To better understand, let's look at the story of John. When John bought his first car he didn't have enough money to pay for it in cash, so he had to take out a loan. He borrowed $7,500. According to the terms of the loan, John had to pay it off in five years with an interest rate of 10%. The initial amount that he borrowed, or the $7,500, is called the principal amount of the loan. Keep in mind that the principal amount applies to more than just loans. It can also apply to money that is invested or deposited into an account. For example, if you open a savings account with a $700 deposit, the principal amount is $700.
What About Interest?
Principal amount does not include interest, or a rate paid as a fee for borrowing money. To figure out the amount of interest John paid during the five years, you can use the simple interest formula, which is a formula to calculate interest paid only on the principal amount. This formula is:
or interest equals principal amount times interest rate times amount of time. Using this formula, you will find that the amount of interest on John's $7,500 loan was $3,750. So, at the end of five years, he would end up paying a total of $11,250. This does not include any additional fees that may apply.
Principal Amount Formulas
For John's loan, we were given the principal amount and used it to find the amount of interest. What if we already know the interest rate, amount of interest, and amount of time, but we need to find out the principal amount? We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.
Let's try this out by finding the principal amount of a loan that has a total interest amount of $18,500 and an annual interest rate of 6.5% over 12 years.
To solve, we input the values into the equation, P = I / (RT). This gives us:
P = $18,500 / (0.065 * 12) = $23,718
The principal amount of the loan is $23,718.
(hope this helps can i plz have brainlist :D hehe)
Un jardinier a récolté deux quintaux trois quarts de pommes . Il vend un quintal un quart à un voisin ; il vend aussi 7/10 de quintal sur le marché du village et 2/5 de quintal à un pâtissier .Exprimer à l'aide d'une fraction la quantité de pomme que le jardinier a gardé pour lui .
Answer:
Step-by-step explanation:
Notez que: un quintal =
une unité de poids égale à 100 kg
Un jardinier a récolté deux quintaux et trois quarts de pommes.
Le nombre total de pommes récoltées = 200 kg + 3/4 du quintal de pommes
= 200 kg + 0,381 kg
= 200,381 kg
Il vend un quintal un quart à un voisin
Le montant qu'il a vendu à un voisin = 100 + 1/4 quintal de pommes
100 + 0,127
= 100,127 kg
Il vend également 7/10 d'un quintal sur le marché du village
= 7/10 × 100 kg
= 70 kg de pommes restantes
2/5 d'un quintal à un pâtissier.
2/5 × 100 kg
= 40 kg de pommes restantes
À l'aide d'une fraction, exprimez la quantité de pomme que le jardinier a gardée pour lui.
La quantité que le jardinier lui a réservée =
200 3/4 kg - (100 1/4 kg + 70 kg + 40 kg)
200,381 kg - (210,127 kg)
pls help. i really need help on this!!
(pls dont waste my time or just take away points for fun. Whoever gets the correct answer will be marked brainliest. I need explanation how to do it)(i would apresiate your help)
a, b, c, d, h, and i.
Answer:
a.) $10.50
b.) $45.00
c.) about 66.67%
Step-by-step explanation:
a.) regular price = 15.00
discount = 30% or 0.3
15 x 0.3 = 4.50 ----------> this is the amount that you will have off
15.00 - 4.50 ---------> by subtracting from original price, you have sale price
= $10.50
b.) bought price = 25.00
marked up = 80% or 0.8
25.00 x 0.8 = 20 -------> this will give you 80% of 25
25.00 + 20.00 ------> she sells for 80% higher, so add the numbers
= $45.00
c.) original price = 36.00
bought price = 36.00 - 12.00
= 24
24 / 36 -----> divide bought price by original to find what percentage it is
= .66666 which is rewritten as 66.667%
you can check this by multiplying that percentage by the original price
hopefully this helps a little bit
Which expressions are equivalent to 3(6+b)-(2b+1)
Answer:
The answer is b+17
Step-by-step explanation:
The following list has a median of 43. What would be the new median if 21 was added to the list?
31, 48, 50, 23, 28, 52, 57, 38, 56, 27
Answer:
34.5
Step-by-step explanation:
21,23,27,28, 31, 38, 48, 50, 52, 57
31+38=69
69/2=34.5
help me out. good points the image shows
Answer:
Solution given;
3-(7-3x)=2x+2
3-7+3x=2x+2
3x-2x=2+4
x=6 is your answer.
Solve for x.
ax + b = r
O
b-r
X=
a
O
r-b
X=
a
b-a
X=
r
O
ar
X=
b
Answer:
x = (r-b) /a
Step-by-step explanation:
ax + b = r
Subtract b from each side
ax+b-b = r-b
ax = r-b
Divide each side by a
ax/a = ( r-b)/a
x = (r-b) /a
Which system of linear equations has a solution of
(1, -1)?
options:
Y1 and y2
Y1 and Y3
y2 and y3
y2 and y4
Answer:
the answer us y2 and y4
Step-by-step explanation:
line y2 cross line y4 at (1,-1)
Answer:
D. y2 and y4
Step-by-step explanation:
did it on edge
witch of the following statements is true
Answer:
in pretty sure its bfg is a right angle
Answer:
second one
Step-by-step explanation:
have a great day
Zach is a high school student who has an after school job at a grocery store. How much will he earn if he earns 75$ a week for 5 weeks?
There are 4 red, 8 yellow, and 6 blue socks in a drawer. Once a sock is selected, it is not replaced. Find the probability of reaching into the drawer without looking and drawing out 2 blue socks.
Answer:
11/306
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 4 red, 8 yellow, and 6 blue socks in a drawer where the probability of picking a red, yellow and blue socks be p(r), p(y), and p(b) respectively.
The probability of reaching into the drawer without looking and drawing out 2 blue socks
= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)
= 6/18 + 5/17
= 11/306
y=-4x+6
3x + 4y = -2
Is (2, 2) a solution of the system?
Choose 1 answer:
- Yes
- No
Answer:
No because the first one will get an answer of -2 while the second one will get an answer of 14
Step-by-step explanation:
Hope This Helped
Answer:
no
Step-by-step explanation:
To solve this we can plug in 2 for x and 2 for y and see if the equations are true
we have
2= -4(2)+6
2= -8+6
2= -2
this is false, the answer is no
The number of bales of cotton that were grown in selected countries for the year 2008 is as follows: United States - 21,590,000; China - 35,500,000; Brazil - 7,000,000; and India - 21,800,000. Rank the statistics. I WILL GIVE BRAINLIEST PLS!!!
Answer:
1) China
2) India
3) United States
4) Brazil
Step-by-step explanation:
Plz help me with all of them plz I will give 65 points
Answer:
7. adjacent (next to each other)
8. vertical (right across from each other)
9. vertical (right across from each other)
10. neither
11. adjacent (right next to each other)
12. neither
Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...
13. ∠SYX = 76°
14. ∠XYW = 40°
15. ∠WYV = 64°
These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.
16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°
∠SYW = 106°
17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°
∠TYX = 140°
18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°
∠VYX = 104°
I hope this helps you understand the concept! Have a great day!
What is the perimeter of a square with side length: s cm
Answer:
s cm+s cm+s cm+s cm
Step-by-step explanation:
Find the area of the shape.
Answer:
Exact Area = 3pi square units
Approximate Area = 9.42 square units
I used pi = 3.14 to get the approximation.
=================================================
Explanation:
This is a three quarter circle since one quarter of it has been taken away.
Let's find the area of the full circle
A = pi*r^2
A = pi*2^2
A = 4pi
Now let's divide by 4 to find the area of just a quarter slice
(4pi)/4 = pi
One quarter slice is pi square units. Since we want three of these quarter slices, this means 3pi is the exact area of the shape shown.
This approximates to 3*pi = 3*3.14 = 9.42
Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x^3 + 2.
include the average rate of change in your answer.
Step-by-step explanation:
step 1. we will denote the average rate of change as r.
step 2. r = (f(5) - f(3))/(5 - 3)
step 3. r = (375 - 81)/2
step 4. r = 294/2
step 5. r = 147.
step 6. note: this is just like finding m. m = (y2 - y1)/(x2 - x1)
Carla has 10 fewer books than Dominic.
Create an expression to represent the number of books that Carla has, where
x is the number of books Dominic has. Please help me
Answer:
x-10
Step-by-step explanation:
If Dominic has X, and carla has 10 fewer. Then Carla would have X-10
Hence equation is x-10
What is word problems?
When students are given with statements , on the basis of which equations are formed are said to be word problems
How to solve?
Given number of books with Dominic=x
Carla has 10 fewer books than Dominic =x-10
Hence equation is x-10
Learn more about word problems
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Two cars are 50 miles apart and driving towards each other. One car is driving at a speed of 30 miles per hour and the other car is driving at a speed of 45 miles per hour. How long does it take for the cars to pass each other
Answer:
40 minutes
Step-by-step explanation:
30x+45x=50
75x=50
x=.6667 hours or 40 minutes
check:
30 mph for 40 minutes=20 miles
45 mph for 40 minutes=30 miles
total=50 miles
Find (-4) x -(-5)
What is the answer to this?
Answer:
-20
Step-by-step explanation:
Which relation is a function?
{(8, –4), (–4, 8), (–4, –8), (–8, 4)}
{(5, –7), (4, 6), (–3, 8), (5, 9)}
{(9, –1), (–1, 9), (9, 2), (2, –1)}
{(2, 3), (–2, 3), (3, 2), (–3, –2)}
Step-by-step explanation:
the last one.
because no x values repeat.
-8-8(6x+1) i can’t solve this
Answer:
Step-by-step explanation:
Answer: -48x-16
Step-by-step explanation:
-8-8(6x+1)
So we are going to let the first -8 stand still for a moment and focus on the "-8(6x+1) part. We will solve this using distributive property.
-8 x 6x = -48x
and
-8 x 1 = -8
This is our new problem -8 -48x -8 .
Lets do like terms. Our like terms are (-8) and (-8). And we know -8 -8 = -16.
Now we'll add that to our (-48x) . I hope you can understand this!
5. A ladder 17 m long reaches the window of a building 15 m above
the ground. Find the distance of the foot of the ladder from the
building
Hint. Let AB be the ladder, CB be the building and B be the
window.
15 m
Then, AB = 17 cm, BC = 15 m, find AC.)
Answer:
8 m.
Step-by-step explanation:
Use the Pythagoras theorem
17^2 = 15^2 + AC^2
AC^2 = (17-15)(17+15) = 2 * 32
AC^2 = 64
AC = 8 m.
Ryan works for a cell phone company. He earns $2,000 per month. He also receives $15 for each cell phone that he sells. Ryan's paycheck last month was $2,180. How many cell phones did Ryan sell last month?
Answer:
12 phones
Step-by-step explanation:
15 x 12 = 180 add 180 to his 2000 and bam 2,180
Find the slope of -1:9 0:5 1:1,
-4/1
-1/4
1/4
4/1
Answer:
1/4
Step-by-step explanation:
A P E X
Answer: I’m a goofy goober yeah your a goofy goober yeah
Step-by-step explanation:
Damon bought a girl he likes chocolate for valentines day. After tax they cost $13.60. If tax was 8.5%, what was the cost of the chocolate before tax?
Answer:
$12.53
Step-by-step explanation:
13.60 / 1.085 = 12.53
Answer:
13.50×8.5%=1.1475
13.50
-1.60=
Okay lets get one thing straight Tsukki is not a nerd he is shmexy ! And Kyo is not just "okay" he is mega hot!
Answer:
Nope. Icy-hot, you've got it all wrong, Tsukkishima is a godda.mn nerd like Deku, and Kyo is meh.
Haley is hanging molding around a rectangular window. The window measures 2 feet by 3 feet.
How much molding should Haley buy?
Answer:
10 feet
Step-by-step explanation: 2+2=4 3+3=6 4+6=10
The volume of a rectangular prism is 72 cubic units.If the length of the prism is 6 units what could the width and height be
Answer:
3 units and 4 units
Step-by-step explanation:
Given data
Volume of prism = 72 cubic units
Length of prism= 6 units
Width =????
The expression for the volume is
V= L*W*H
Also,
Volume = Area*L
72= Area*6
Area= 72/6
Area= 12 square units
Hence the possible width and Height is
3 units and 4 units
Because 4*3= 12 square units
Check
volume= 6*3*4= 72 cubic units
Find the least common denominator for these fractions. Enter your answer in
the space provided.
1/2 and 3/5
Answer:
10
Step-by-step explanation:
2*5=10
Step-by-step explanation:
step 1. LCD of 1/2 and 3/5 is 10.