Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.
She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.
A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price
per Ib?
Answer:
$2.1 per pound
Step-by-step explanation:
price/pounds
52.92 / 25 = 2.1
The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month of August: $878.65 for mortgage payment; $52.50 for insurance premium; $266.67 for real estate taxes; $94.52 for electricity; $45.03 for telephone service; and $42.65 for water. How much are their housing costs over or under the FHA guidelines?
1 point
$67.52 under
$67.52 over
$2,369.98 under
$2,369.98 over
Answer:
I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)
Step-by-step explanation:
Expenses for August= 878.65 + 52.50 + 266.67 + 94.52 + 45.03 + 42.65
= $1380.02
Income-Expenses= 3750-1380.02= 2369.98
given h(x)=-2x+5, find h(-6)
This question is easy! it's simply asking to plug in -6 instead of the variable x.
h(-6)=-2(-6)+5
=12+5
=17
17 is your final answer.
word problem of addition or subtraction
Answer:
subtraction
Step-by-step explanation:
In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.
Answer:19
Step-by-step explanation:subtract 27 from 8.
Is a temperature of 0.67 degrees a positive number or a negative number.
Answer:
It is a positive number.
Step-by-step explanation:
Numbers that are above 0 are considered positive and numbers below 0 are considered negative.
~Anna
Consider this quadratic equation
X^2+2x+7=21
Answer:
x = sqrt(15) - 1 or x = -1 - sqrt(15)
Step-by-step explanation:
Solve for x:
x^2 + 2 x + 7 = 21
Subtract 7 from both sides:
x^2 + 2 x = 14
Add 1 to both sides:
x^2 + 2 x + 1 = 15
Write the left hand side as a square:
(x + 1)^2 = 15
Take the square root of both sides:
x + 1 = sqrt(15) or x + 1 = -sqrt(15)
Subtract 1 from both sides:
x = sqrt(15) - 1 or x + 1 = -sqrt(15)
Subtract 1 from both sides:
Answer: x = sqrt(15) - 1 or x = -1 - sqrt(15)
The function Fx) = log5 xis increasing.
Answer:
Yes
Step-by-step explanation:
If F(x)= log base 5 of x, then yes, it is increasing.
Answer: True
Step-by-step explanation: Got it correct on a-p-e-x
h(t)= -20 + 11t
h(11) =
Answer:
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
Step-by-step explanation:
replace t by 11
do multiplication
add them together
Answer:
h(t) =−20+11t h(11)= 101
Step-by-step explanation:
Which statement describes a cause of screwed data
a sample that excludes subjects that are not part of the population being measured.
CAN SOMEONE PLEASE SOLVE THIS!!!!!!!!!!! NEED HELP!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A and E are correct
Step-by-step explanation:
lines DE and FG are congruent and so is angle DQE and GQF
I need help on this one
Answer:
the fourth answer is prime.
Step-by-step explanation:
in order to break down a 4 term polynomial, create groups of the polynomials. seperate each in 2 group. then, fine the greatest common fastor of each group that are in parenthesis.It was easy to break the first three. the last one however, was hard to break apart because in the second group, you cant find the greatest common factor between -x and 2. So the bottom one is prime
Audrey collected 4⁄5 pint of blueberries. Addison collected 12 times as many pints of blueberries as Audrey. How many pints of blueberries did Addison collect?
Answer:
48/5≈ 9 3/5
Step-by-step explanation:
12 is the same thing as 12/1
so your multiply fractions
4/5 times 12/1
numerator=top
denominator=bottom
so to multiply a fraction you multiply the numerator times the numerator
so in that case your multiplying 4 times 12
=48
to find the bottom half you multiply the denominator times the denominator
in that case is 5 times 1
=5
numerator/denominator
48/5
if you want to simplify it further simply divide 48/5
5 goes into 48 about 9 times
and were left with 3/5
so 9 and 3/5
pls mark me brainliest
Find the sum of the first 70 terms of the sequence -6, -3,0,3,6,
Answer:
The sum of the first 70 terms of the sequence [tex]-6, -3,0,3,6, ...[/tex] is 6825.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an Arithmetic Sequence the difference between one term and the next is a constant.
[tex]-6, -3,0,3,6, ...[/tex] This sequence has a difference of 3 between each number.
The sum of an arithmetic series is found by multiplying the number of terms times the average of the first and last terms.
[tex]S_n=\frac{n}{2}(2a_1+(n-1)d)[/tex]
where [tex]n[/tex] = the number of terms, [tex]a_1[/tex] = the first term, and [tex]d[/tex] = the common difference.
For our arithmetic sequence, the values of a, d and n are:
[tex]a_1 =-6[/tex][tex]d=3[/tex][tex]n = 70[/tex]So:
[tex]S_{70}=\frac{70}{2}(2(-6)+(70-1)3)\\\\S_{70}=35\left(3\left(70-1\right)-2\cdot \:6\right)=35\left(207-12\right)=35\cdot \:195)=6825[/tex]
a(b+c) =a.b+a.c, where a, b, and c are real numbers. Use the distributive property to simplify the expression 8(3+4)=24+ ?
Answer: 32
Step-by-step explanation:
All you have to do is is multiply 8 by the numbers in the parentheses. So you multiply 8 by 3, which equals 24. Then multiply 8 by 4, which is 32. Hope this helps! :)
Answer:
The answer is 32 and the next one is C, 24x+32.
Step-by-step explanation:
The fifth term of the sequence will be 11.
(-1,2,5,8,...)
True
False
Answer:
True
Step-by-step explanation:
You are adding 3 each time:
Term 1: - 1
Term 2: -1 + 3 = 2
Term 3: 2 + 3 = 5
Term 4: 5 + 3 = 8
Term 5: 8 + 3 = 11
~
Answer:
True
Step-by-step explanation:
if you count 0,1,2,3,4,5,6... a(0) being the FIRST term the answer is A
if you count 1,2,3,4,5... a(1) being the first term (in this case how do you call a(0) the zeroth term?)
five more than the quotient of y and 2 is -3
Answer:
y/2 + 5 = -3
y/2 = -8
y = -16
Step-by-step explanation:
Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 10 in. The soup can has a diameter of 4 in. and a height of 5 in. How many cans of soup will it take to fill up the pot?
Answer:
28.125 cans
Step-by-step explanation:
Step 1: Determine the Volume of the Pot
Diameter= 15 inches, therefore Radius=15/2=7.5 Inches
Height =10 Inch
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of the Pot [tex]=\pi*7.5^2*10=562.5\pi[/tex] cubic inches.
Step 2: Determine the Volume of each can
Diameter= 4 inch, therefore Radius=4/2=2 Inches
Height =5 In.
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of one can [tex]=\pi*2^2*5=20\pi[/tex] cubic inches.
Step 3: Divide the Volume of the Pot by the Volume of the can
To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.
Volume of the Pot÷Volume of one can
[tex]=562.5\pi \div 20\pi\\=28.125 \:cans[/tex]
Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.
Write the following number in standard decimal form.
six thousand five hundred thirty-four ten-thousandths
Answer: 6.534 x 10^(-1)
Step-by-step explanation:
Six thousand five hundred and thirty four ten thousandth
6534/10000
Convert to decimal
6534/10000=0.6534
Then convert to standard form
0.6534=6.534 x 10^(-1)
True or False: The height is always twice the length of tue base edge of any triangular pyramid.
Answer:
true
Step-by-step explanation:
3n3n3p0mdo98rueu33
Ten cards numbered from 1 to 10 inclusive are placed in a hat Irene takes a card out of the hat without looking what is the probability that she takes out:
A] the number 10
B] an odd number
C] a number greater than 4
D] a prime number
E] a number between 5 and 9?
The area of a circle is 286 cm2. Use the π button on your calculator for π in your calculations.
8a
If its radius is r cm, find r, correct to 2 decimal places.
Be careful not to round your answer until the very end.
Answer:
9.54 cm
Explanation:
area = πr^2
286 cm^2= πr^2
=>πr^2= 286 cm^2
=>r^2= 286÷π
=>r= √286÷π
: 9.54. m
circumference=2πr
=> circumference=2×π×9.54
=60 cm
the driveway in front of the brown house is 35 feet long and the driveway of the red house is 7 yards and 9 feet long. which house has a long driveway? by how much
Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
There are 3 feet in 1 yardConverting yards to feet, wee need to multiply the number of yards by 3
7 yards = 21 feetSince the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
A computer company produced this graph to show how many computers it expects to sell based on
how much the company spends on Internet advertising. The company expects to sell 40 million
computers, spending $5 million on Internet advertising. Which set of units and scales are appropriate
for the two axes?
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in millions)
Horizontal axis: Advertising Dollars (in millions):
Vertical axis: Number of Computers (in tens of
millions)
Horizontal axis: Advertising Dollars (in millions);
Vertical axis: Number of Computers (in millions)
1 2
3
4
5
6
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in tens of millions)
Answer:
The first one
Horizontal axis: Number of computers (in millions):
Vertical axis: Advertising Dollars (in millions):
Step-by-step explanation:
Since we have given that
Number of computers expected to sell = 40 millions
Cost price of internet advertising = $5 million
According to the graph, we can see that
40 millions is the y-coordinate and $5 million is the x-coordinate.
so, Horizontal axis - y- axis is the "Number of computers".
Vertical axis - x- axis is the "Advertising cost "
The set of units and scales are appropriate for the two axes
Horizontal axis: Number of computers (in millions):
Vertical axis: Advertising Dollars (in millions):
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
Number of computers expected to sell = 40 millions
Cost price of internet advertising = $5 million
From to the graph, we can see that
40 millions is the y-coordinate and $5 million is the x-coordinate.
So, Horizontal axis - y- axis shows the "Number of computers".
and, Vertical axis - x- axis shows the "Advertising cost ".
Learn more about Graph here:
https://brainly.com/question/17267403
#SPJ2
A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).
Which equation describes a line of symmetry for a square ABCD?
Answer:
y=x
Step-by-step explanation:
The equation of the line is line DB
From y=mx + c
From the graph y = 0 when x =0
This means y=x;
The graph cuts through the origin.
Meaning the y -intercept C=0
Factor the expression. d2 + 12d+ 36
Answer:
the factored expression is
(d+6)(d+6) or (d+6)^2
Step-by-step explanation:
Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?
Answer:
$172.50
Step-by-step explanation:
1150 * 0.15 = 172.5
Answer:
the answer is 172.50
Step-by-step explanation:
So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer
Step-by-step explanation
1150 * 0.15 = 172.5
If it was helpful can u mark me brainliest pls!!!!!!!!!!!
Pete's checking account showed a balance at the beginning of the month of $180. After 3 days the checking account showed a balance of $160. Write a linear equations to represent the total in the checking account f(x) according to the day x.
Answer:
180 - 172 =$8 8/3=2.56
Simon knows that 25% of the people at a movie theater are seeing a romantic comedy. How many people are at the movie theater if 55 people are seeing a romantic comedy?
Answer:
220
Step-by-step explanation:
Number of people in theater = x
25% * x = 55
x = 55 / 25% = 55 / 25 * 100 = 55 * 4 = 220
