Answer:
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Step-by-step explanation:
Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree
The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
[tex]H_a: \mu_1 - \mu_2 > 0[/tex]
In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Mean trunk diameter (cm) 35 30:
Pine trees - 35
Spruce trees - 30
The sample mean is given by the subtraction of the means. So
[tex]X = 35 - 30 = 5[/tex]
Sample Size 40 80
Population variance 160 160
This means that the standard error for each sample is given by:
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]
The standard error of the difference is the square root of the sum squared of the standard error of each sample.
[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{5 - 0}{2.4495}[/tex]
[tex]z = 2.04[/tex]
Pvalue of the test:
Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.
Looking at the z-table, z = 2.04 has a pvalue of 0.9793.
1 - 0.9793 = 0.0207
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.
Answer:
Step-by-step explanation:
A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.
A scale drawing used for the model of a building is 1 inch = 150 feet. How tall is the building if the scale model is 6 inches tall?
Answer:
900
Step-by-step explanation:
1 inch/150 feet x 6 inch/x feet
cross multiply
1x=900
please answer
Step by step
Answer:
B) 20°
Step-by-step explanation:
The top half of the circle is equal to 180°...
13x + 3x + 2x = 180°
18x = 180°
x = 10°
Angle EOD is the opposite angle of 2x
2 (10) = 20°
The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?
a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs
Answer:
C. To control both unintentional research bias and participant prior beliefs
Step-by-step explanation:
Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.
Thus,the correct answer is option C as it includes both the researcher and the participants
What is 498,235 rounded to the
nearest thousands?
Answer:
498,000
Step-by-step explanation:
What formula can be used to find circumference? Choose all that apply. *
Cat
2r
nd
2nd
Answer:
circumference =pi ×diameter
OR
pi × radius × 2
In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?
Answer:
43 inches
Step-by-step explanation:
simplify 8x+7-x-4
help meeeeee!!!
Answer:
7x + 3
Step-by-step explanation:
Let's simplify step-by-step.
8x + 7 − x − 4
= 8x + 7 + −x + −4
Combine Like Terms:
= 8x + 7 + −x + −4
= (8x + −x) + (7 + −4)
= 7x + 3
Answer:
= 7x + 3
hope this helps and is right. p.s i really need brainliest :)
if my answer is wrong then I am incredibly sorry!
Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please
Answer:
27
Step-by-step explanation:
Pick the correct value for the image of A after applying the rotation matrix.
(- 3, -4)
(- 1, -4)
(1, -4)
(3, -4)
Answer:
A) (- 3, -4)
Step-by-step explanation:
edge 2021
Answer:
A) (-3, -4)
Step-by-step explanation:
If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer
Use the pic and solve the COS x-sin x/COS x+ sin x part
comment if there's something u don't understand
The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
tanx = 3/4 (x is an acute angle)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex] ….(1)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex] …(2)
Divide (1) ÷ (2)
(cosx-sinx)/(cosx+sinx) = (1/3)/(7/3) = 1/7
Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10
Answer:
1000 / 100
Step-by-step explanation:
Answer:
ff
Step-by-step explanation:
5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours
Answer:
y=50x+0
Step-by-step explanation:
y=mx+b is y-intercept form
I will make x= hours and y= distance (miles)
every 1 you add to x has to represent 50 miles
for the y intercept, it was unspecified so I assumed 0
Hope this helps :)
Answer:
y=50x
Step-by-step explanation:
Solve the formula Ax + By = C for A
i will be sooooo thankful if u helped me
Answer:
For 35 its C
Step-by-step explanation:
Solve 3y^3 + 12y^2 + 12y =0
Please
Answer:
y = 0, -2
Step-by-step explanation:
Factor out the common term 3y.
[tex]3y( {y}^{2} + 4y + 4) = 0[/tex]
Rewrite y² + 4y + 4 in the form of a² + 2ab + b², where a = y and b = 2.
[tex]3y( {y}^{2} + 2(y)(2) + {2}^{2} ) = 0[/tex]
Use square sum: (a + b)² = a² + 2ab + b².
[tex]3y(y + 2) ^{2} = 0[/tex]
solve for y.
y = 0, -2.
therefor, the answer for this equation is 0, - 2.
Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y
Answer:
x² + 11x-16y
Step-by-step explanation:
The given equation is :
[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]
It can be simplified as follows :
[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]
So, the correct option is (d) i.e. x² + 11x-16y.
WHATS 20-11 ANSWER OR DAII
Answer:
9
Step-by-step explanation:
20-11=9
☁️ Answer ☁️
9
Take 11 away from 20
Have a nice day noona/hyung.
Will give brainless
This is due tomorrow at 12pm
Answer:
The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.
A farmer used 204 feet of fencing to enclose a garden in the shape of a rectangle. If the length of the garden is twice the width, what is the width of the garden?
A) 34ft
B) 40.8ft
C) 51ft
D) 68ft
E) 81.6ft
Answer:
A
Step-by-step explanation:
Area=L+L+B+B
L=2
B=1
So, L+L+B+B=6
204/6=34
So, it's 34 ft, which is A.
Which shape is the base of the pyramid shown below?
A triangle
B square
Answer:
B. it's a square pyramid so the base is a square.
Step-by-step explanation:
Simplify 4x + 3x² + x² - 3x
Answer:
[tex]x + {4x}^{2} [/tex]
Step-by-step explanation:
simplify by combining like terms
4x - 3x = x
[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]
we're left with
[tex]x + {4x}^{2} [/tex]
Answer:
4x²+x
Step-by-step explanation:
4x-3x+3x²+x²
4x minus 3x is x and 3x² +x² is 4x²
therefore,
4x²+x
PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet
Answer:
The equation is P - 42 = 12
P = 54
Step-by-step explanation:
Which answer choice represents a person burning 45
calories by climbing 9 flights of stairs?
F
Number of Flights of
Stairs Climbed, f
Number of Calories
Burned, c
G.
c=f+5, where c represents the number of
calories burned and f represents the number of
flights of stairs climbed.
1
5
3
15
5
25
7
35
J
A person who climbs 5 flights of stairs will
burn 1 calorie
90
22
Need
Heln2
If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?
Answer: 114 homeruns on mars
Step-by-step explanation: 76 homeruns x 0.5 = 38
76+38 = 114
9/11 = c/55
c=???
answwedbhksjbdew
\
Answer:
C=45
if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5
multiply 9 by 5 to get 45
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
-8x+8=-6x+20 and x= -6
Step-by-step explanation:
Reason to equation:
This image shows alternative interior angles.
Alternative interior angles are congruent to each other.
How to find x:
-8x+8=-6x+20
We subtract 8 from both sides
-8x=-6x+12
We add 6x to both sides
-2x=12
We divided -2 from both sides
-2x/-2x = 12/2
Leaving us with x=-6
NEED HELP ASAP PLEASE! BRAINLIEST TO RIGHT ANSWER! Are the polygons similar? If they are, write a similarity statement and give the scale factor.
Answer:
B) Yes; POSN~KDAG; scale factor 5:4
Step-by-step explanation:
B) Yes; POSN~KDAG; scale factor 5:4
Same angles (If 3 are the same, the 4th is the same).
Comparing the 4 respective sides:
15/12=5/4
10/8=5/4
7.5/6=5/4
15/12=5/4
What is the solution to the equation?
19 + 13x = 32
Record your answer in the boxes
below.
00000.00
+/-
I give brainleist
Answer:
the answer is x=1
Step-by-step explanation:
minus 19 on both sides
then divide by 13 on both sides
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter: 4 x 2 x π = 8π
LA = 8π x 6 = 48π
Base area = 4^2π = 16π
SA = 16π x 2 + 48π = 80π
V= 16π x 6 = 96π