Answer:
The 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no kelp treatment is -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901
Step-by-step explanation:
The given data are;
The number of the group 1 plants that exhibited damage = 12
The number of plants in group 1, n₁ = 50
The number of the group 2 plants that exhibited damage = 18
The number of plants in group 2, n₂ = 50
The proportion of group 1 plants that exhibited damage, [tex]\hat p_1[/tex] = 12/50 = 0.24
The proportion of group 2 plants that exhibited damage, [tex]\hat p_2[/tex] = 18/50 = 0.36
The z-value at 95% = 1.64
The confidence interval is given by the following formula;
[tex]C.I. = \hat{p}_1-\hat{p}_2\pm z^{*}\sqrt{\dfrac{\hat{p}_1\left (1-\hat{p}_1 \right )}{n_{1}}+\dfrac{\hat{p}_2\left (1-\hat{p}_2 \right )}{n_{2}}}[/tex]
Plugging in the values, we get;
[tex]C.I. = 0.24-0.36\pm 1.64 \times \sqrt{\dfrac{0.24\left (1-0.24 \right )}{50}+\dfrac{0.36\left (1-0.36 \right )}{50}}[/tex]
Therefore, C.I. = -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901
Please help me it’s due today at 11:59
Baldwin Family walked 4/5 of mile in 4/9 of an hour what is their unit rate in mph
Answer:
1.8 mphStep-by-step explanation:
Since we know how much they walked in 4/9 of an hour, we will divide 4/5 by 4/9 to get 4/9 to one. They went 1 4/5 mph or 1.8 mph. I hope this helps!w(n)= -n-2; Find w(10)
Answer: w(10) = -12
Step-by-step explanation:
w(n) = -n - 2; Find w(10)
w(10) = -(10) - 2
w(10) = -10 - 2
w(10) = -12
Evaluate b2−16a+5 when a=1/2 and b=7.
Answer:
11
Step-by-step explanation:
7x2=14
16x1/2=8
14-8=6
6+5=11
The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.
Evaluation of the given equation;Since the equation is
[tex]b^2 - 16a + 5[/tex]
So,
[tex]= (7)^2 - 16(0.5) + 5[/tex]
= 49 - 8 + 5
= 46
Hence, The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.
Learn more about an equation here: https://brainly.com/question/14170257
Select the correct answer. Find the product. 3(x+4)(x-5) A. 3x2 − 11x − 20 B. 3x2 − 20x C. 3x2 − 3x − 60 D. 3x2 − x − 20
Three points are coplanar
sometimes
Never
Always
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
99165+67894321-9872345
Answer:
58121141
Step-by-step explanation:
99165+67894321= 67993486
67993486-9872345= 58121141
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].
The measures of two complementary angles have a ratio of 2:3. What is the measure of the larger angle?
The measure of the larger angle is
°.
Step-by-step explanation:
complementary angles add up to 90
x +2/3x = 90
5/3x = 90
5x = 270
x = 54
the other angle is 36
double checking
54 * 2 ÷ 3 = 36
What is the correct answer?
Answer:
6 units to the right, 3 units down
Step-by-step explanation:
the equation of a line that is perpendicular to y = 2x + 1 passes through the point (4,-3)
Step-by-step explanation:
perp. -1/2
y + 3 = -1/2(x - 4)
y + 3 = -1/2x + 2
y = -1/2x - 1
2^x-4x=0 find the value of x in the equation
9514 1404 393
Answer:
x ≈ 0.309906932381 or 4
Step-by-step explanation:
There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.
Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.
Find the range given the Domain of {0,1,2,3,4} for the function f(x)=x2 - 4x + 3
Answer:
x
∈
R
y
≤
1
Step-by-step explanation:
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
see graph below for reference
6500 divide by 100. step by step
Answer:
6500 / 100 = 65
Step-by-step explanation:
if you are dividing a number that has zeros by 10/100/1000... you can cancel out the zeros to find the answer.
Please help me with these math problems (3) . I really need help . Multiple choice don't comment random for points please
Answer:
Follow me please
Mark brainliest
Answer:
B
Step-by-step explanation:
Which line segment is a chord of o C in the diagram below?
O A. AB
O B. DE
O C. BD
O D. AC
Answer:
A. AB
Step-by-step explanation:
line segment AB is a chord.
What is the factorization of the polynomial below?
-X^2-15x - 56
Answer:
[tex]-\left(x+7\right)\left(x+8\right)[/tex]
Step-by-step explanation:
[tex]-X^2-15x - 56\\\\\mathrm{Factor\:out\:common\:term\:}-1\\\\=-\left(x^2+15x+56\right)\\\\=-\left(x+7\right)\left(x+8\right)[/tex]
Answer:
[tex]-(x+7) (x+8)[/tex]
Step-by-step explanation:
[tex]-x^{2} - 15x-56[/tex]
Write - 15x as a difference
[tex]-x^{2} -7x-8x-56[/tex]
Factor out - x from the expression
[tex]-x(x+7)-8x-56[/tex]
Factor out - 8 from the expression
[tex]-x (x+7)-8(x+7)[/tex]
Factor out - (x + 7) from the expression
[tex]-(x+7)x(x+8)[/tex]
A behavioral economist studies transportation habits in an urban center. She identifies 4 bus routes that connect to 3 different light rail routes available to participants in the study. Before she interviews participants, she must determine the number of possible routes participants can choose to use. Which expression represents the number of available options
a. 4!+3!
b. 4×3
c.4!×3!
d. 4!/3!
Answer:
Total possible routes participants can choose = 4×3 = 12 ways
The correct option is - b. 4×3
Step-by-step explanation:
Given - A behavioral economist studies transportation habits in an
urban center. She identifies 4 bus routes that connect to 3
different light rail routes available to participants in the study.
To find - Before she interviews participants, she must determine the
number of possible routes participants can choose to use.
Which expression represents the number of available options.
Proof -
Given that ,
Total bus routes = 4
So, number of possible ways she use the bus route = 4
Also,
The 4 bus route connects to 3 different light rail
So, possible ways that she use light rail = 3
∴ we get
Total possible routes participants can choose = 4×3 = 12 ways
The correct option is - b. 4×3
Researchers make a one-sample zzz interval to estimate the proportion of adults who would say they learned something new in the past month. Previous studies have suggested that about 40\%40%40, percent would answer "yes" to this question. The researchers plan on using a confidence level of 95\%95%95, percent, and they want the margin of error to be no more than \pm 5\%±5%plus minus, 5, percent.
Answer:
369
Step-by-step explanation:
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
What is a margin of error?The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.
We have,
To create a one-sample z-interval, the following steps can be followed:
Determine the sample size (n) and the sample proportion p.
Since no sample size or proportion is given in the problem, we cannot proceed with this step.
Determine the level of confidence (C) for the interval. In this case, the researchers want a confidence level of 95%, so C = 0.95.
Find the critical value (z*) for the level of confidence.
This can be done using a standard normal distribution table or a calculator.
For a 95% confidence level, the critical value is 1.96.
Calculate the margin of error (ME) using the formula:
ME = z x √(p x (1 - p) / n)
Since the margin of error is given as no more than ±5%, we can set it equal to 0.05 and solve for the required sample size:
0.05 = 1.96 x √(0.4 x (1 - 0.4) / n)
Solving for n, we get:
n = (1.96 / 0.05)² x 0.4 x (1 - 0.4)
n ≈ 384.16
Since the sample size must be a whole number, we round up to the nearest integer and get n = 385.
Therefore,
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
Learn more about margin of error here:
https://brainly.com/question/10501147
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Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)
Answer:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
[tex]V = l * b * h[/tex]
Make h the subject of the formula
[tex]h = \frac{V}{lb}[/tex]
The surface area (S) of the aquarium is:
[tex]S = lb + 2(lh + bh)[/tex]
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]
[tex]C = 7lb + 2(lh + bh)[/tex]
[tex]C = 7lb + 2h(l + b)[/tex]
Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation
[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]
Differentiate with respect to l and with respect to b
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]
[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]
[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]
By comparison:
[tex]l =b[/tex]
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes
[tex]7l - \frac{2V}{l^2}=0[/tex]
[tex]7l = \frac{2V}{l^2}[/tex]
Cross Multiply
[tex]7l^3 = 2V[/tex]
Solve for l
[tex]l^3 = \frac{2V}{7}[/tex]
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]
Recall that: [tex]l =b[/tex]
[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]
Also recall that:
[tex]h = \frac{V}{lb}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]
Apply law of indices
[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]
[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The dimension that minimizes the cost of material of the aquarium is:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The weight of adult female panthers in one habitat area are normally distributed with a mean of 82 pounds and a standard deviation of 9.8 pounds. What percent of the panthers weigh less than 76 pounds?
Answer:
27.09% of the panthers weigh less than 76 pounds
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 82 pounds and a standard deviation of 9.8 pounds.
This means that [tex]\mu = 82, \sigma = 9.8[/tex]
What percent of the panthers weigh less than 76 pounds?
The proportion is the pvalue of Z when X = 76. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 82}{9.8}[/tex]
[tex]Z = -0.61[/tex]
[tex]Z = -0.61[/tex] has a pvalue of 0.2709
0.2709*100% = 27.09%
27.09% of the panthers weigh less than 76 pounds
Okay I know this is a crazy thing to ask on brainly but would anyone be interested in finishing my Math 4 class for $100 dollars?? my word is good I promise! I just need to pass!!! PLS HELP
Answer:
ok but I know this is a lie I'm just willing to help
A line passes through the point (-8, -4) and has a slope of 5/2. Write and equation in slope intercept form for this line.
Answer:
i know this isn't the answer but this should help...
Step-by-step explanation:
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
Hope this helps(and also if you have a more refined wording please put it in the comments)!
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
I drive to McDonalds which is 3x and 4y and is 24 miles altogether but I want to compare it with burger king which is 4x and 3y and 22 miles. Can You work out x and y miles?
do not send a link to download
Answer: so here is what you have to do
Step-by-step explanation:Determine Whether a Number
Is a Solution to an Equation
2 Solve Linear Equations
3 Determine Whether an Equation Is a Conditional Equation, Identity, or Contradiction
Preparing for Linear Equations
Before getting started, take this readiness quiz. If you get a problem wrong, go back to the section cited and review the material.
P1. Determine the additive inverse of 5.
P2. Determine the multiplicative inverse of - 3.
P3. Use the Reduction Property to simplify 15 # 5x.
P4. Find the Least Common Denominator of 3 and 5 .
8 12
P5. Use the Distributive Property to remove the parentheses: 61z - 22
P6. What is the coefficient of - 4x?
P7. Simplify by combining like terms: 41y - 22 - y + 5 P8. Evaluate the expression -51x + 32 - 8 when x = -2
P9. Isx = 3inthedomainof 2 ?Isx = -3inthe domain? x + 3
[Section R.3, p. 21] [Section R.3, pp. 23–24]
[Section R.3, pp. 25–26] [Section R.3, pp. 27–28]
[Section R.3, pp. 29–30] [Section R.5, p. 41] [Section R.5, pp. 41–43] [Section R.5, pp. 40–41]
[Section R.5, pp. 43–44]
In Words
In the equation 2
2 + 5 is the left side of the equation and 0 is the right side. In this equation only the left side contains the variable, y. In the equation 4 +5=-2x+10,theexpression
4 + 5 is the left side of the equation and - 2 + 10 is the right side. In this equation both sides have expressions that contain the variable, x.
1 Determine Whether a Number Is a Solution to an Equation
An equation in one variable is a statement made up of two expressions that are equal, and in the statement, at least one of the expressions contains the variable. The expres- sions are called the sides of the equation. Examples of equations in one variable are
2y + 5 = 0 4x + 5 = -2x + 10 3 = 9 z+2
In this section, we will concentrate on solving linear equations in one variable.
The ordered pair (2, 25) is a solution for which equation(s)? Check all that
apply.
A. y= (x + 2)2
B. y = (2x + 1)2
o c. y = 2x2 + 5
D. y = (x + 3)2
Answer A is correct. C is correct.
Step-by-step explanation:
Please help I don't understand this question
Answer: What is The Question
Step-by-step explanation:
You Forgot To add The Picture
Find the amplitude and the period of the graphed function; please show work or steps.
Answers:
Amplitude = 2Period = 5pi/2===========================================
Explanation:
The lowest point occurs when y = -2. The highest point occurs when y = 2.
The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.
The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.
-----------------------------
Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.
The horizontal distance from x = -pi to x = 3pi/2 is
(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2
This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.
Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.
What is the area of the shaded region?
16 cm
A. 25.16 cm
B. 27.52 cm
C. 50.24 cm
D. 55.04 cm