Answer:
A) 1
Step-by-step explanation:
2(1+x)= x+3
2(1+1)= 1+3
2×2= 4
4=4
Hence proven
Answer:
A. 1
Step-by-step explanation:
2(1 + x) = x + 3
2 + 2x = x + 3
2x - x = 3 - 2
x = 1
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at two levels of compression. Penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. Compressed Soil 2.82 2.66 2.98 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 Intermediate Soil 3.18 3.38 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 Use the data, omitting the high outlier, to give a 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. Compute degrees of freedom using the conservative method.
Answer:
Step-by-step explanation:
Hello!
To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:
Sample 1: Compressed soil
X₁: penetrability of a plot with compressed soil.
n₁= 20 plots
X[bar]₁= 2.90
S₁= 0.14
Sample 2: Intermediate soil
X₂: penetrability of a plot with intermediate soil.
n₂= 20 (with outlier) n₂= 19 plots (without outlier)
X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)
S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)
Outlier: 4.26
Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:
Parámeter of interest: μ₁-μ₂
Interval:
[(X[bar]₁-X[bar]₂)±[tex]t_{n_1+n_2-2;1-\alpha/2}[/tex]*Sa[tex]\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }[/tex]]
[tex]t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715[/tex]
[tex]Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20[/tex]
[(2.90-2.29)±2.715*0.20[tex]\sqrt{\frac{1}{20} +\frac{1}{19} }[/tex]]
[0.436; 0.784]
I hope this helps!
Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).
Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:
[tex]\mu_C = 2.9075, s_C = 0.1427[/tex]
For the intermediate soil, omitting the high outlier of 4.26, we have that:
[tex]\mu_I = 3.2895, s_I = 0.2385[/tex]
The distribution of the decrease has mean and standard deviation given by:
[tex]\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382[/tex]
[tex]s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779[/tex]
The interval is given by:
[tex]\overline{x} \pm ts[/tex]
By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.
Then, critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 19 - 1 = 18 df, is t = 2.8784.Then:
[tex]\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418[/tex]
[tex]\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182[/tex]
The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).
A similar problem is given at https://brainly.com/question/15180581
Matthew has 3.5 pounds of clay to make ceramic objects.
he needs 1/2 of a pond of clay to make one bowl.
A.how many bowls can Matthew make with his clay
B. Matthew can make two mugs with the same amount of clay he uses to make one ceramic bowl. How much clay does he need to make with all of his clay
Step-by-step explanation:
Step 1: Answer part a
He has 3.5 pounds of clay and each bowl is 0.5 pounds of clay. Therefore, 3.5 / 0.5 will give us the amount of bowls he can make.
3.5 / 0.5
7
Answer: He can make 7 bowls
Step 2: Answer part b
I don't really understand what the questions asking about how much clay does he need to make with all of his clay. If you explain what that means I can answer it.
If you meant how much mugs he is able to make → 14
If you meant how much clay he needs to have for each mug → 0.25
Answer & Explanation:
Part A
It gives us 2 numbers to determined how much bowls he can make.
He need 0.5 of clay to make 1 bowl and he has 3.5 pounds of clay.
[tex]3.5[/tex] ÷ [tex]0.5[/tex]
= [tex]7[/tex]
He can make 7 bowls out of the 3.5 pounds of clay that he has.
Part B
This question is very confusing...
He can make 1 mug with 0.25 pounds of clay.
[tex]3.5[/tex] ÷ [tex]0.25[/tex]
= [tex]14[/tex]
He can make 14 mugs if he uses all of his clay.
hope this helps
give brainliest if you please
The tape diagram represents an equation.
Answer:
20
Step-by-step explanation:
6p = 120
p = 120/6
p = 20
What’s the area of this figure?
Answer:
C. 155.5 cm2
Step-by-step explanation:
area = 5*15 + (15+8)*7/2 = 75 + 80.5 = 155.5 cm2
Imagine that you are an engineer for a soda company, and you are tasked with finding the most economical shape for its aluminum cans You are given a set of constraints: the can must hold a volume of liquid and be a cylindrical shape of height hand radius r, and you need to minimize the cost of the metal required to make the can
Look at a variety of aluminum cans of different sizes from the supermarket. Which models from problems a–c best approximate the shapes of the cans? Are the cans actually perfect cylinders? Are there other assumptions about the manufacture of the cans that we should take into account? Do a little bit of research, and write a one-page response to answer some of these questions by comparing our models to the actual dimensions used.
Answer:
The answer to that depends on the company
Step-by-step explanation:
What’s the correct answer for this?
Answer:
c) √137
Step-by-step explanation:
Explanation:-
The distance between two points formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} -y_{1} )^{2} }[/tex]
Given points are R (3,7) and S(-1,-4)
[tex]RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }[/tex]
[tex]RS = \sqrt{(-4 )^{2} + (-11 )^{2} }[/tex]
[tex]RS = \sqrt{16 + 121 }[/tex]
RS = √137
The distance between the two points are RS = √137
The line that passes through the point (2,-8) and
has a slope of -1 is given by the equation y +
J(x-1
Answer:
y = -x - 6
Step-by-step explanation:
I graphed the coordinate point on the graph and found an equation of the line that goes through the point with a slope of -1.
Answer:
y = -x - 6
Step-by-step explanation:
What’s the correct answer for this?
Answer:
C.
Step-by-step explanation:
Lines with equal slopes are parallel since their slopes are equal so they are parallel.
Using the following data, calculate the mean absolute deviation:
10 7 1 6 7 9 8 10 2 5
What is the mean absolute deviation for these data? (60 points)
a) 2
b) 2.4
c) 6.5
d) 7
Answer:
2.4
Step-by-step explanation:
First we need to find the mean
Add up all the number
(10+ 7+ 1+ 6+ 7+ 9+ 8+ 10+ 2+ 5)/10
65/10 = 6.5
Then find the absolute difference from each point and the mean and sum them together and divide by the number of points
((10-6.5) + (7-6.5) +(6.5- 1) +(6.5-6) + (7-6.5)+( 9-6.5)+( 8-6.5)+ (10-6.5)+(6.5- 2)+(6.5- 5)) /10
24/10
2.4
Answer:
b) 2.4
Step-by-step explanation:
Mean = (10+7+1+6+7+9+8+10+2+5)/10
= 65/10 = 6.5
Sum|x-mean| = 3.5+0.5+5.5+0.5+0.5+2.5+1.5+3.5+4.5+1.5 = 24
MAD = 24/10 = 2.4
Give step by step answer
Answer:
2 1/2 cups of vegetables
Step-by-step explanation:
This is an averages question, so add all numbers and divide by amount of numbers
2+1+2+1+3+6=15
15/6=2 1/2
Answer:
Nancy put 3 cups of vegetables in each container.
Step-by-step explanation:
1. Add the amount of vegetables together
2. Divided the number of vegetables by 5, since they are put into 5 separate containers.
____________________________________________________________2+1+2+1+3+6 = 15
15 divided by 5 or 5 x ? = 15
The proportional relationship between the number of gallons of chocolate ice cream and number of gallons of vanilla ice cream ice creamery freezes daily is graphed below
what does the points (6,2) represent on the graph?
Answer:
For every 6 gallons of vanilla ice cream frozen, the ice creamery freezes 2 gallons of chocolate ice cream.
Step-by-step explanation:
E-Z
The radius of a circle is 11 in. Find its area in terms of \piπ.
Answer:
A = 121 pi in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi * 11^2
A = 121 pi in^2
Answer:
121 pi in^2
Step-by-step explanation:
Area = pi *. R^2
= pi x 11^2= 121pi. in^2
Solve for x in terms of b and K:
bx - 2 = K
Answer:
x=1b(k+2)=1b(k+2.0)
= k+2/x
Step-by-step explanation:
Step 1: Add 2 to both sides.
Step 2: Divide both sides by x
Answer: x=1b(k+2)=1b(k+2.0)
Hope this helps.
What is the volume of an ice cream cone if the radius is 2 cm and the height is 7 cm
Hello!
Answer:[tex]\boxed{ \bf The~volume~is~29.32~cm^3.}[/tex]
___________________________________________________
Explanation:To find the volume of the cone, we must use a certain formula:
V = [tex]\frac{1}{3}[/tex]πr²h
Let's plug in our values:
V = [tex]\frac{1}{3}[/tex]π(2)²(7)
V = [tex]\frac{1}{3}[/tex]π(4)(7)
V = [tex]\frac{1}{3}[/tex]π(28)
V = 29.32
Taylor is playing a board game with two friends. Using a single dice, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Taylor winning an independent even or dependent even? Why?
A. Her probability of winning is a dependent event because it doesn’t depend on the results of her friends roll
B. Her probability of winning is an independent event because it doesn’t depend on the results of her friends rolls
C. Her probability of winning is dependent event because it depends on the results of her friends rolls
D. Her probability of winning is an independent event because it depends on the results of her friends roll
Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.
Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.
In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.
The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.
Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.
What is the probability that a student chosen randomly from the class does not have a cat
Answer:
20/27 or 0.74
Step-by-step explanation:
The total number of people is: 2+6+5+14 = 27
Total number of people that don't have a cat is: 6+14 = 20
20/27 = 0.74
Two different samples will be taken from the same population of test scores where the population mean and standard deviation are unknown. The first sample will have 25 data values, and the second sample will have 64 data values. A 95% confidence interval will be constructed for each sample to estimate the population mean. Which number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean? The answer is the sample with data values.
Answer:
The sample consisting of 64 data values would give a greater precision.
Step-by-step explanation:
The width of a (1 - α)% confidence interval for population mean μ is:
[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}[/tex]
So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).
That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.
Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.
The two sample sizes are:
n₁ = 25
n₂ = 64
The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.
Width for n = 25:[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]
Width for n = 64:[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]
Thus, the sample consisting of 64 data values would give a greater precision.
The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64 and this can be determined by using the formula of width.
Given :
The first sample will have 25 data values.The second sample will have 64 data values. 95% confidence interval.The following steps can be used in order to determine the number of data values would you expect to give a greater precision for estimating the population mean:
Step 1 - The below formula of width is used in order to determine the number of data values.
Step 2 - The formula of width is given below:
[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]
where [tex]z_{\alpha /2}[/tex] is the z-score, [tex]\sigma[/tex] is the standard deviation, and 'n' is the sample size.
Step 3 - Now, at n = 25 the formula of 'w' becomes:
[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{25} }[/tex]
[tex]w = \dfrac{1}{5}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]
Step 4 - Now, at n = 64 the formula of 'w' becomes:
[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{64} }[/tex]
[tex]w = \dfrac{1}{8}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]
The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64.
For more information, refer to the link given below:
https://brainly.com/question/12402189
30 POINTS!!!!! URGENT!
Step-by-step explanation:
Average daily balance: Add all balances up and divide by the number of days.
157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option
Daily interest rate: 24.99/365, as a percent, which is the first option
Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value
New account balance: Again, this does not seem to be given, but the only option remaining is the second one
Answer:
Average daily balance: Add all balances up and divide by the number of days.
157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option
Daily interest rate: 24.99/365, as a percent, which is the first option
Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value
New account balance: Again, this does not seem to be given, but the only option remaining is the second one
m
Step-by-step explanation:
a sector with a area of 11 over 2 pi cm squared has a radius of 3 cm
Answer:
Step-by-step explanation:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
5.5pi = angle/360 * pi * 9
5.5 = angle/360 * 9
angle = (5.5 * 360)/9 = 40 * 5.5 = 220
Please help !!!!ASAP!!!!
Please answer the Picture below.
Answer:
Part A) shorter base = 6 yd longer base = 8 yd
Part B) C. 42 yds²
Step-by-step explanation:
Part A) The width and the length of the shorter side are the same, at 6 yds each. The longer base is 8 yds because there is a spot of 1 yd on both sides of the shorter side, making the longer side.
Part B) Find the area of the square first.
A = L x W
A = 6 x 6
A = 36 yds²
Next, find the area of a triangle and multiply the answer by 2 because there are two triangles.
A = 1/2bh
A = 1/2(1)(6)
A = 1/2(6)
A = 3(2)
A = 6 yds²
Add together all of the area measurements to find the area of the entire figure
36 + 6 = 42 yds²
Find if there was a mistake in the students work.
Answer:
b
Step-by-step explanation:
What is the simplified form of the following expression? Assume x greater-than 0
RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction
StartFraction RootIndex 4 StartRoot 6 x EndRoot Over 2 x EndFraction
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 2 x EndFraction
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 16 x Superscript 4 Baseline EndFraction
RootIndex 4 StartRoot 12 x squared EndRoot
Answer:
b
Step-by-step explanation:
i took the test myself
Answer:
B
Step-by-step explanation:
Edge 2022
If the function m(x) has the point (5, 2) on its graph name a point that would be on the function m(5x).
(1, 2)
(10, 2)
(5, 10)
(25, 2)
Answer:
21
Step-by-step explanation:
Use the dimensions of the rectangular prism to label the indicated dimensions of its net.
Answer:
what do u mean
Step-by-step explanation:
4) A garden is in the shape of a square with a perimeter of
56 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside. If the material used to build the two fences is $1.21 per foot, what was the total cost of the fences?
It costs $ ______ to build the fences.
Answer:
It costs $154.88 to build the fences.
Step-by-step explanation:
Perimeter of square = [tex]4 \times Side[/tex]
We are given that A garden is in the shape of a square with a perimeter of 56 feet.
So,[tex]4 \times side = 56[/tex]
Side =[tex]\frac{56}{4}=14 feet[/tex]
So, Side of square park = 14 feet
One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.
Outer length = 14+2+2=18 feet
So, Perimeter of outer fence = [tex]4 \times side = 4 \times 18 = 72 feet[/tex]
Cost of fencing 1 foot = $1.21
Cost of fencing 56 feet =[tex]56 \times 1.21=67.76[/tex]
Cost of fencing 72 feet = [tex]72 \times 1.21=87.12[/tex]
Total cost = 67.76+87.12=154.88
Hence It costs $154.88 to build the fences.
what is a placebo and why is it important in an experiment to test the effectiveness of a drug
Answer:
A placebo is a useless substance that takes the place of an actual drug
Step-by-step explanation:
This is to test to see if the drug actually does anything, or if the patients are really just deceived by their imagination
Five friends plan to share the cost of a meal at a restaurant. Each friend’s share is at most $13. How much could the total meal cost?
Answer:
65
Step-by-step explanation:
calculate the missing length on the right triangle solve for c using the z y t h a g o r e a n t h e o r e m a2 plus B2 equals C2
Answer:
Step-by-step explanation:
Since the diagram to this question is not given ; we will just explain the concept of the right angled triangle and a means by which we can use the Pythagoras theorem in solving such related question.
A right angled triangle has to legs which serves as the base line in which the height of the right angle is 90°.
Now; If we have a base line AB; let say , we chose any convenient radius at a and bisect an arc. at the arc we make another arc to the right ; we will have an angle at A which is 60°, So B will form a straight line up serving the role of the right angle which is 90° and where both met will be C which is 30°
So now we have a triangle ABC, if the line facing ∠ A = a ; the line facing ∠ B = b and the line facing ∠ C = c
Then; we can solve for side c if ; side a and side b are known by using the Pythagoras theorem.
Using Pythagoras theorem.
a² = b² + c²
-c² = b² - a²
Multiplying through with -
c² = - b² + a²
[tex]\mathbf{ c = \sqrt{-b^2 + a^2}}[/tex]
Since ; we already make c the subject of the formula; from the missing diagram, we can easily slot the values of a and b given to solve for the value of c using the above derived equation.
I hope that helps!.
Felicia is buying a Crockpot that retails for $125. She has a coupon for $40 off of any item over $100. Calculate her percent savings if she uses the coupon
Answer:
32%
Step-by-step explanation:
Given
Cost of Crockpot = $125
Coupon = $40
Coupon applies on items greater than $100
Required
Percent saved if coupon is applied.
If she applies coupon on the Crockpot, then she'll be saving $40.
Percent Savings = Amount Saved / Total Amount
Percent Savings = $40/$125
Percent Savings = 0.32
Convert to Percentage
Percent Savings = 0.32 * 100%
Percent Savings = 32%.
Hence, she'd save 32% if she applies the coupon of $40 on the Crockpot
Answer:
percentage savings = 32%
Step-by-step explanation:
She is buying a Crock-pot that retails for $125 . She has a coupon for $40 off any time she bought over $100 item.
Her percentage saving can be calculated below.
The price of the crock-pot is $125 but the amount she bought it base on coupon she has will be $125 - $40 = $85.
The normal price of the crock-pot is $125 and she bought it base on her coupon for $85, then the percentage change is
percentage saving = amount saved/normal price × 100
percentage savings = 40/125 × 100
percentage savings = 4000/125
percentage savings = 32%
The amount you bought the crock-pot was less than the original price hence Felicia saved 32% of the original price.
Find X such that f(x)=0 for f(x)= -2x^2-x
Answer:
[tex]x=\{-\frac{1}{2} ,\:0\}[/tex]
Step-by-step explanation:
[tex]f(x) =-2x^2 -x\\plug \: f(x) =0\\0= -2x^2 -x\\2x^2 + x = 0\\x(2x+1) = 0\\\therefore x =0 \: or \: 2x+1 = 0\\\therefore x =0 \: or \: 2x = -1\\\\\therefore x =0 \: or \: x = -\frac{1}{2} \\\\x=\{-\frac{1}{2} ,\:0\}[/tex]