Since a rectangle is rolled along length then circumference of circle is equal to length of rectangle and breadth equals to height.
=) 2*pi*r = 42cm
=) 2*22/7 * r = 42cm
=) r = 42*7 / 2*22
=) r = 147/22 cm
Since Volume of cylinder = pi* r^2*h
= 22/7 * 147/22 * 147/22 * 16 cm^3
= 2245.09 cm^3.
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm
What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠ 0. What is the value of the two-sample t statistic? a. 14.6 b. 3.43 c. 2.54 d. 7.80
What can we say about the value of the P-value? a. P-value < 0.01 b. 0.01 < P-value < 0.05 c. 0.05 < P-value < 0.10 d. P-value > 0.10
If you use the 0.05 level of significance, what conclusion would you reach? a. The evidence is not sufficiently strong to reject the null hypothesis. b. There is sufficient evidence to reject the null hypothesis. c. Cannot be determined by the information given.
Answer:
Part A
b. 14.6 ± 7.38
Part B
b. 3.43
Part C
a. P-value < 0.01
Part D
b. There is sufficient evidence to reject the null hypothesis
Step-by-step explanation:
Part A
The given data are;
The number of seedlings in the field = 20
The number of seedlings selected to receive herbicide A = 10
The number of seedlings selected to receive herbicide B = 10
The height in centimeters of seedlings treated with Herbicide A, [tex]\overline x _1[/tex] = 94.5 cm
The standard deviation, s₁ = 10 cm
The height in centimeters of seedlings treated with Herbicide B, [tex]\overline x _2[/tex] = 109.1 cm
The standard deviation, s₂ = 9 cm
The 90% confidence interval for μ₂ - μ₁, is given as follows;
[tex]\left (\bar{x}_{2}- \bar{x}_{1} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]
The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;
The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18
α = 100% - 90% = 10%
∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05
[tex]t_{(0.025, \, 18)}[/tex] = 1.734
[tex]C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}[/tex]
C.I. ≈ 14.6 ± 7.37714603353
The 90% C.I. ≈ 14.6 ± 7.38
b. 14.6 ± 7.38
Part B
With the hypotheses are given as follows;
H₀; μ₂ - μ₁ = 0
Hₐ; μ₂ - μ₁ ≠ 0
The two sample t-statistic is given as follows;
[tex]t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
[tex]t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147[/tex]
The two sample t-statistic ≈ 3.43
b. 3.43
Part C
From the t-table, the p-value, we have, the p-value < 0.01
a. P-value < 0.01
Part D
Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis
b. There is sufficient evidence to reject the null hypothesis.
The side length in centimeters of a triangle are 5x,32,and 2(3x+2) the perimeter of the triangle is 80 centimeters What is the length is centimeters of the shortest side of the triangle
Answer:
the answer is 20
Step-by-step explanation:
in the question they want the shortest side length of the triangle and they gave you the perimeter.
what we want to find is the x value.
so,
perimeter= the sum of all sides.
substituting,
80= 5x + 32 + 2 (3x+2)
80= 5x +32+6x+4
80=11x+36
80-36=11x
44=11x
44/11=x
4=x
so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.
5*4=20
32
2 (3*4+2)=28
so the shortest length is 20.
we can also check our answer to see if it is correct.
20+33+28= 80.
Round 2.486 to the nearest hundredth.
Answer:
2.490
Step-by-step explanation:
It is over the half point so, if it's over round up. if not, round down.
Can you pls help me
Answer:
b
Step-by-step explanation:
25 divided by 25 equals 1
375 divided by 25 equals 15
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:
22.4 ft
Step-by-step explanation:
The side of the ladder from the house will be 22.4 ft far.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that a 45-foot ladder is set against the side of a house so that it reaches up to 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house.
The distance will be calculated as,
a² + b² = c²
a² + (39)² = 45²
a² = 45² - 39²
a=√504
a = 22.4 ft
Therefore, the side of the ladder from the house will be 22.4 ft far.
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Figure ABCD Is a parallelogram
What are the measures of angles B and D
6.1.PS-17
Question Help.
In a race, 19 out of the 25 swimmers finished in less than 56 minutes. What percent of swimmers
finished the race in less than 56 minutes? Write an equivalent fraction to find the percent.
Ifm AGD = 72°, then what is m DGB?
G/1
B
3/2
E
1
6
Answer for: m DGB
Answer:
Cheeeeseeeeii
Step-by-step explanation:
Cheeeeseee
PLEASE help plssss no links and silly answers
Answer:
(H)
Step-by-step explanation:
Less than signs are <
Greater than signs are >
Since in this case x is the number
7 has to be less than x which is x<7
Answer:
f
Step-by-step explanation:
Giant pandas can spend up to 16 hours a day eating bamboo. How many minutes per day is this? Hint: 1 day = 1440 minutes
Answer:
960 minutes
Step-by-step explanation:
If there are 24 hours a day with 60 minutes then there are 1440 hours a day.
There 16 hours multiplied by 60 minutes will give you your answer! [tex]16*60=960[/tex]
it is 690 minutes per 16 hours
Sin Z =
Cos Z =
Tan Z =
sin z= z/y
cos z= x/y
tan z= z/x
PLEASE HELP DUE IN 1 HOUR
Answer:
18
Step-by-step explanation:
just add them unless you have to find the numbers for the 2 little squares
Answer:
27
Step-by-step explanation:
cut shapes. then 6x2 is 12, 3x5 is 15, then add
Matt made a trip to his friend's house and back. On
the trip there he drove 24 miles per hour and on the
return trip he went 30 miles per hour. How long did
the trip there take if the return trip took 4 hours
What is the term for a straight line extending from the center of a circle to the outside surface of a circle?
Answer:
radius
Step-by-step explanation:
hope this helps
Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct
Answer:
x = 1.5
Step-by-step explanation:
Based in the tangent-secant theorem,
KI*JI = HI²
KI = (x + 0.5)
JI = 0.5
HI = 1
Plug in the values
(x + 0.5)(0.5) = 1²
0.5x + 0.25 = 1
0.5x = 1 - 0.25
0.5x = 0.75
x = 0.75/0.5
x = 1.5
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
what is 3c-9d+7c+5d simplified
Answer:
3c-9d+7c+5d becomes this when it is simplified 10c - 4d
Step-by-step explanation:
Plz answer this I’ll give 14 points plzzz
Answer:
3
Step-by-step explanation:
It shows it in the picture
14. 6 • _____ = 3 • ____
Answer: 143°
Step-by-step explanation:
140+146=286
360-286=74
74/2=37
vertical angles are equal so using supplementary angles or vertical angle rule I can prove the angle labeled x is 143°
helpppoooooopmemememememeem
Answer:
A. 5 units
Step-by-step explanation:
since the y-coordinate is the same, then you would subtract the x-coordinates.
-6-(-1)=5
hope this helps, have a nice day :)
HELP!!!
And please don’t send a link it won’t let me download it
What is the standard deviation of the distribution?
0.89
The owner of a local movie theater keeps track of the
number of tickets sold in each purchase and makes a
probability distribution based on these records. Let X
represent the number of tickets bought in one
purchase. The distribution for X is given in the table.
0.95
O 1.41
1.99
Number of
Tickets
1
2
3
5
Probability
0.29
0.44
0.19
0.06
0.02
Answer:
The number of tickets purchased typically varies from the expected value by 0.95 tickets.
Step-by-step explanation:
The standard deviation of the distribution is 0.95.
What is Standard Deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
We have
P (X = 1)= 0.29
P (X = 2) = 0.44
P( X= 3) = 0.19
P (X = 4) = 0.06
P (X = 5) = 0.02
The expected value is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02 (5)
E(X) = 2.08
As, The standard deviation is the square root of the total of the difference squared between each value and the mean, multiplied by the likelihood of each value.
[tex]\sigma[/tex] = √0.29 (1- 2.08)² + 0.44(2- 2.08)² +.....+ 0.02 (5- 2.08)²
= 0.95
Thus, the standard deviation is 0.95.
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Round your answer to the tenths place if necessary
Help me please:(
Answer:
Step-by-step explanation:
31 btw your pfp is cute
¿De quién nos habla el texto ?¿pudiste imaginar como ese personaje? ¿porque?
Answer:
lo siento, no entiendo esta pregunta, pero esta aplicación es para ayudar con cosas como las matemáticas.
Step-by-step explanation:
Mr. Wedmore works at a car dealership and earns
a monthly salary of $2,000. He also earns 25%
commission on the gross profit of the car sales. If
Mr. Wedmore brought in $10,000 worth of profit
for the dealership, how much would he earn this
month?
Answer: $2,000. + 25% + $10,000= 12,500 Or $2,000. - 25% - $10,000=8500
Step-by-step explanation:
Answer: $4,500
Step-by-step explanation: First, the monthly salary is $2,000 so this is part of the total already. The 25% commission is on the profit they earn and the profit they earned was $10,000. To find 25% of $10,000, you do 10,000 times 0.25 which is $2,500.
Total Earned: $2,000 (Monthly Salary) + $2,500 (Commission Amount) = $4,500
PWEASEEEEEE HELP MEEEEEEE
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
QUESTION 7 of 10: You can hire someone without experience for $13 per hour or someone with experience for $19 per hour. You believe the
experienced person increases the sales per customer by $3. Each person handles about 12 customers per hour. Should you hire the
experienced person?
a) Yes
b) No
The theater from the previous question sold a total of 97 tickets on the night they made $1048. Write and solve a system of equations to determine the number of adults who bought tickets that night.
Answer:
116.444$
Step-by-step explanation:
2. (a) Find the area of this triangle.
12 cm
9 cm
(b) Suppose the base is doubled. Explain what happens to the original area.
(c) Suppose both the height and the base of the original triangle are doubled.
Explain what happens to the original area.
Answer: A)Area=1/2bh, 1/2x12x9=1/2x108,108/2=54cm2.
B)If the base doubles the original Area doubles.
C)If both the Height and the base is doubled then the Area will Quadruple.
Step-by-step explanation:
You are planning a backpacking trip. You must hike a minimum of 11 miles each day in order to complete the trip in the time you have available. Write an inequality to represent the situation. Let x represent the number of miles you must hike each day.
Answer:
x≥11
Step-by-step explanation:
The information provided indicates that you have to hike minimum 11 miles each day to be able to complete the trip in the time you have and this means that the number of miles you hike each day has to be greater than or equal to 11 and this can be expressed as:
x≥11, where:
x is the number of miles you must hike each day.
Fifty- five percent of the students at west side middle school walk to school. What fraction of the students walk to school
Answer:
55/100 is equivalent to 55% but the fraction in lower terms or simplified is 11/20 hope i helped!
Step-by-step explanation: