Answer:
C
Step-by-step explanation:
Kira is a lovable dog who is full of energy. her owner thought it would be fun to train her by throwing a frisbee for her to catch. when the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = â€" 0.07t2 0.007t 5. how many seconds will it take for the frisbee to hit the ground? â€"8.5 seconds â€"5.0 seconds 5.0 seconds 8.5 seconds
The Frisbee following a parabolic path will take 8.5 seconds to hit the ground.
How to find the time in seconds it will take for the frisbee to hit the ground in secondsGiven that:
h(t) = â€" 0.07t2 - 0.007t - 5
The given equation is the parabolic equation showing the path traced by the frisbee. from the equation
h = height from ground
t = time consumed in seconds
time it takes to hit the ground will be at h = 0. we therefore solve as follows:
h(t) = â€" 0.07t2 - 0.007t - 5
0 = 0.07t2 + 0.007t + 5
\(=\frac{-0.007+or-\sqrt{0.007^{2}-4*0.07*-5 } }{2*0.07}\)
\(=\frac{-0.007+or-\sqrt{0.0049+1.4 } }{0.14}\)
\(=\frac{-0.007+or-\sqrt{1.3951 } }{0.14}\)
=8.5 or -8.5 seconds
≅ 8.5 seconds
We choose the positive which is 8.5 seconds and can therefore say that the first option is the correct option.
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Suppose we have a stationary object sitting at the origin of our coordinate plane. It then experiences a push in the x-direction and a push in the y-direction. The resulting -displacement follows X ~ N(0, σ^2) and the resulting y-displacement follows Y ~ N(0, σ^2), i.e. both are zero-
mean Gaussian with the same (unknown) variance. Our goal is to estimate that variance.
We have collected data for 5 trials of the absolute distance of the object from the center.
The values are: (2, 3, 1, 1, 2}. What is the maximum likelihood estimate of σ^2?
The maximum likelihood estimate of σ² is given by:
σ² = 10/(x₁² + x₂² + x₃² + x₄² + x₅²)
plugging in the given data points, we have:
σ² = 10/(2² + 3² + 1² + 1² + 2²) = 10/19
hence, the maximum likelihood estimate of σ² is 10/19.
to find the maximum likelihood estimate (mle) of σ², we need to maximize the likelihood function based on the observed data.
given that the resulting x-displacement and y-displacement are zero-mean gaussian distributions with the same variance σ², the absolute distance from the origin follows a rayleigh distribution. the probability density function (pdf) of the rayleigh distribution is given by:
f(x; σ) = (x/σ²) * exp(-x²/(2σ²)), for x ≥ 0
to find the likelihood function, we multiply the pdf for each observed data point. since the observations are independent, the likelihood function is the product of the individual pdfs:
l(σ²) = f(x₁; σ) * f(x₂; σ) * f(x₃; σ) * f(x₄; σ) * f(x₅; σ)
taking the logarithm of the likelihood function (log-likelihood) simplifies the calculations and does not affect the location of the maximum:
ln(l(σ²)) = ln(f(x₁; σ)) + ln(f(x₂; σ)) + ln(f(x₃; σ)) + ln(f(x₄; σ)) + ln(f(x₅; σ))
substituting the pdf of the rayleigh distribution and simplifying further:
ln(l(σ²)) = -5ln(σ) - (1/σ²)(x₁² + x₂² + x₃² + x₄² + x₅²)/2 + constant
to find the maximum likelihood estimate, we differentiate the log-likelihood function with respect to σ² and set it equal to zero:
d/d(σ²) [ln(l(σ²))] = -5/σ² + (x₁² + x₂² + x₃² + x₄² + x₅²)/(2σ⁴) = 0
solving for σ²:
5/σ² = (x₁² + x₂² + x₃² + x₄² + x₅²)/(2σ⁴)
σ⁴ = 10/(x₁² + x₂² + x₃² + x₄² + x₅²)
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Two red and two blocks are placed into a bag you take one of the blocks out of the bag what is the probability the block is not blue
Question:
Two red and two blue blocks....
Answer:
\(P(Not\ Blue) = \frac{1}{2}\)
Step-by-step explanation:
Given
\(Red = 2\)
\(Blue = 2\)
Required
Probability of not selecting blue
First, we calculate the probability of selecting blue
\(P(Blue) = \frac{Blue}{Total}\)
\(P(Blue) = \frac{2}{2+2}\)
\(P(Blue) = \frac{2}{4}\)
\(P(Blue) = \frac{1}{2}\)
In probability:
Opposite probabilities sum up to 1 i.e.
\(P(Blue) + P(Not\ Blue) = 1\)
This gives
\(\frac{1}{2} + P(Not\ Blue) = 1\)
\(P(Not\ Blue) = 1 - \frac{1}{2}\)
\(P(Not\ Blue) = \frac{2-1}{2}\)
\(P(Not\ Blue) = \frac{1}{2}\)
Answer:
the answer would be 1/2 .,
Which is the simplified form of the expression 3(3+4) - 2(3-1)?
²(2
O A. -
-
O B. 5 + 9
O C. 10 + 1
5I2
O D. 15 + 10€
70=
SUBMIT
A model of a dinosaur skeleton was made using a scale of 1 ft: 10 ft in a museum. If
the size of the dinosaur's tail in the model is 4 ft, then find its actual length.
A model of a dinosaur skeleton was made using a scale of 1 ft : 10 ft in a museum. If the size of the dinosaur's tail in the model is 4 ft, then find its actual length. 1 ft : 10 ft 4 ft : x x = 4ft x 10ft / 1 ft = 40 ft2 / ft = 40 ft ∴ The dinosaur's tail is actually 40 ft long. 8.
3 Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for reason "Cannot be determined." b ∆BLK ≅ △____ By rule ____
Answer:
it cannot be determined not enough info
I WILL GIVE BRAINLIEST
What is 10,000,000 written as a power of 10?
710
810
107
108
Answer:
\(10^7\)
Step-by-step explanation:
There are \(7\) zeroes in the number \(10,000,000\). Therefore, \(10,000,000\) can be written as \(\fbox{$10^7$}\).
*Any number written as \(10^n\) will be equal to \(1\) followed by \(n\) zeroes.
Answer:10^7
Step-by-step explanation:
(40/5)-7+2? I know the answer but I don’t know how I got to it
Answer:
3
Step-by-step explanation:
(40/5)-7+2
PEMDAS says parentheses first, so divide inside the parentheses
(8)-7+2
Then add and subtract from left to right
1 +2
3
Answer:
3
Step-by-step explanation:
Using PEMDAS:
(40/5)-7+2
- > 40/5 - 8
8 - 7 + 2
1 + 2
3
Hope this helps you.
homework help dont help btw.
6-65)
The equation holds true, which means that x = -5 is a correct solution to the equation.The equation does not hold true, which means that x = 4 is an incorrect solution to the equation.
6-66)
a) To represent Eduardo's age, we can write - Eduardo's age = X - 4
b) To represent the number of butterflies Eduardo has, we can write B = 2x + 12
6-67)
a) When x = 0: 3x-2 < 4x+4
b) When x = -6: 3x-2 = 4x+4
c) When x = 5: 3x-2 < 4x+4
d) When x = -2: 3x-2 < 4x+4
6-68)
a. "When you double my number and subtract 9, you get my original number. Victor's number is 9.
b. "When you double my number and add 5, you get 17. Victor's number is 6.
What is the explanation for the above solutions?6-65)
a.
Substituting x = -5 into the equation 5x + 8 = 3x - 2, we get:
5(-5) + 8 = 3(-5) - 2
-17 = -17
The equation holds true, which means that x = -5 is a correct solution to the equation.
b.
Substituting x = 4 into the equation 2(x+1) + 6 = 20 - 3x, we get:
2(4+1) + 6 = 20 - 3(4)
16 = 8
The equation does not hold true, which means that x = 4 is an incorrect solution to the equation.
6-66)
To represent Eduardo's age, let's use the variable "E". Since Andy is 4 years older than Eduardo, we can write:
Andy's age = X
Eduardo's age = X - 4
To represent the number of butterflies Eduardo has, let's use the variable "B", and the number of moths as "x". Since the number of butterflies is 12 more than twice the number of moths, we can write:
B = 2x + 12
6-67)
To evaluate the expressions 3x-2 and 4x + 4 for different values of x, we substitute the value of x into the expression and simplify. Then, we compare the two resulting values using <, >, or =.
When x = 0:
3x-2 = 3(0)-2 = -2
4x+4 = 4(0)+4 = 4
-2 < 4, so 3x-2 < 4x+4
When x = -6:
3x-2 = 3(-6)-2 = -20
4x+4 = 4(-6)+4 = -20
-20 = -20, so 3x-2 = 4x+4
When x = 5:
3x-2 = 3(5)-2 = 13
4x+4 = 4(5)+4 = 24
13 < 24, so 3x-2 < 4x+4
When x = -2:
3x-2 = 3(-2)-2 = -8
4x+4 = 4(-2)+4 = -4
-8 < -4, so 3x-2 < 4x+4
6-68)
a. Let's use the variable "x" to represent Victor's number. From the clue, we know that:
2x - 9 = x
Solving for x, we add 9 to both sides and get:
2x = x + 9
Subtracting x from both sides, we get:
x = 9
Therefore, Victor's number is 9.
b. Let's again use the variable "x" to represent Victor's number. From the clue, we know that:
2x + 5 = 17
Solving for x, we subtract 5 from both sides and get:
2x = 12
Dividing both sides by 2, we get:
x = 6
Therefore, Victor's number is 6.
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help please will give brainliest
The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)
How to factor quadratic equations?Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.
Therefore, let's factor the equation 2x² + 25x + 50.
2x² + 25x + 50
The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.
Therefore,
2x² + 20x + 5x + 50
2x(x + 10)+ 5(x + 10)
Therefore,
(2x + 5)(x + 10)
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find the missing side of each triangle. leave your answers in simplest radical form.
9 cm cm cm cm cm cm cm cm cm cm cm cm cm
Answer:
\(x = \sqrt{11}\)
Step-by-step explanation:
\(a^{2} +b^{2} =c^{2} \\\\\sqrt{6} ^{2} +\sqrt{5} ^{2} =c^{2} \\\\6 + 5 = c^{2} \\\\11 = c^{2} \\\\\sqrt{11} = c\)
Round 15.209 to the nearest hundreth
A. 15.21
B. 15.20
C. 15.2
D. 16
Answer:
A.15.21
Step-by-step explanation:
In rounding of numbers when the next number is greater than 5 u round it on next number by adding one
Write an equation of the graph shown in terms of cosine:
Answer:
Step-by-step explanation:
A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:
y = A * cos(B * x) + C * sin(D * x)
In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.
At the market you can buy six bags of apples for $25 at the archer you can get eight bags of Apple for $35 which is the better deal
Answer:
$25
Step-by-step explanation:
What is 7 1/2 divided by 3/4
Answer:
10
Step-by-step explanation:
7 1/2 = 7.5
3/4 = 0.75
7.5 ÷ 0.75 = 10
Check work:
0.75 x 10 = 7.5
Leaks occur in a pipeline at a mean rate of 1 leak per 1,000 meters. in a 2,500-meter section of pipe,(a) using the poisson approximation to the binomial, what is the probability of no leaks?
The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.
The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.
1. Calculate the expected value (μ) for the Poisson Distribution:
μ = λ × t = (1 leak per 1,000 meters) × (2,500 meters) = 2.5
2. Calculate the probability of no leaks using the Poisson Distribution:
P(X=0) = e-μ × (μ^0/0!) = e-2.5 × (2.5^0/0!) = 0.857
The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.
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Calculate the following simplify or reduce all of your answers
a. 2/7 + 3/7
answer: …/…
b. 1/3 + 1/6
answer: …/…
c. 4/3 + 2/7
answer: …/…
The simplified results of the following fractions are;a. 2/7 + 3/7 = 5/7b. 1/3 + 1/6 = 1/2c. 4/3 + 2/7 = 34/21
Given are the following fractions;
a. 2/7 + 3/7
b. 1/3 + 1/6
c. 4/3 + 2/7
To add these fractions, we need to find the LCD of the denominators. In this case, the LCD is 7. Therefore,2/7 + 3/7 = 5/7b. 1/3 + 1/6. To add these fractions, we need to find the LCD of the denominators. In this case, the LCD is 6.
Therefore, 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2c. 4/3 + 2/7
To add these fractions, we need to find the LCD of the denominators. In this case, the LCD is 21. Therefore, 4/3 + 2/7 = 28/21 + 6/21 = 34/21.
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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Which of these are polygons?
Answer:
B , C , D are polygons.When people are discharged from a hospital, they are surveyed about the quality of their stay. The hospital asks each person to turn in the survey before leaving. Is this a simple random sample?
Yes, because each person has the opportunity to respond to the survey.
Yes, because each person is equally likely to get the survey.
No, because not everyone has the same opportunity to answer the survey.
No, because each person is asked to fill out the survey, so this is not a sample.
Answer:
No, because not everyone has the same opportunity to answer.
Step-by-step explanation:
Answer:
C is the correct answer
Step-by-step explanation:
I just took the quiz on edge 2023
What is the value of K? k=___
Answer:
I'm pretty sure the answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
In triangle LON, <O = 90°
According to Pythagoras' Theorem
(Hyp)² = (Base)² + (Perp)²
m² = 4² + 8²
m² = 16 + 64
m² = 80
Taking square roots on both sides
√m² = √80
m = 8.94
In triangle LMN, <N = 90°
According to Pythagoras' Theorem
(Hyp)² = (Base)² + (Perp)²
(8 + k)² = l² + 4²
Please help due in 15 minutes!!!!!
Answer:
44ft
Step-by-step explanation:
The formula for circumference is 2 * π * radius and in this case we want to use 3.14 for π and so we do 2 x 3.14 x 7 because the radius is half of the diameter (14) and once you do that you end up getting 43.96 and once you round you get 44ft so you are correct.
Omar invested $68,000 in an account paying an interest rate of 7 1/2% compounded annually. Madeline invested $68,000 in an account paying an interest rate of 7 1/4% compounded daily. After 8 years, how much more money would Madeline have in her account than Omar, to the nearest dollar?
ok, let's say Omar invested at 7.5% and Madeline invested at 7.25%, and let's assume a year has 365 days, so daily compounding will have 365 periods in a year.
\(~~~~~~ \stackrel{ \textit{\LARGE Omar} }{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$68000\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &8 \end{cases}\)
\(A = 68000\left(1+\frac{0.075}{1}\right)^{1\cdot 8} \implies \boxed{A \approx 121276.49} \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \stackrel{ \textit{\LARGE Madeline} }{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$68000\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &8 \end{cases}\)
\(A = 68000\left(1+\frac{0.0725}{365}\right)^{365\cdot 8} \implies \boxed{A \approx 121443.62} \\\\[-0.35em] ~\dotfill\\\\ 121443.62~~ - ~~121276.49 ~~ \approx ~~ \text{\LARGE 167}\)
Answer:
Step-by-step explanation:
Omar: first find 7 1/2 in decimal form .then multiply the decimal 7.5 by the amount invested 68,000. then multiply amount a year in interest 510 by number of years 8 then you get 4,080.
Madeline: first find 7 1/4 as decimal .then multiply the decimal 7.25 by the amount invested 68,000. then multiply amount a year in interest
simplify \(x^{2} - x - 12\)
Answer:
Step-by-step explanation:
x2 - x - 12
x2 - 4x + 3x - 12
x(x - 4) + 3(x - 4)
(x - 4) (x+ 3)
-4 + 3 will make -1 for -1x
-4 x 3 will make -12
Thus, the factored form will be (x-4)(x+3)
Researchers try to gain insight into the characteristics of a ______ population by examining a of the population. Select one:
a. Description
b. Model
c. Replica
d. Sample
Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.
A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.
The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.
By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.
Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.
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why is the domain of sin^-1(x) and cos^-1(x) are different while the domain of sin(x) and cos(x) are the same?
The domain of sin^-1(x) and cos^-1(x) are different while the domain of sin(x) and cos(x) are the same is due to the inverse properties and the range of their respective functions.
The domain of sin(x) and cos(x) are the same because both are trigonometric functions that can accept any real number as input, meaning their domain is all real numbers (-∞, ∞).However, when we consider their inverse functions, sin^-1(x) and cos^-1(x), we need to restrict their domain to ensure that these inverse functions are well-defined and unique. The range of sin(x) is between -1 and 1, so the domain of sin^-1(x) is restricted to the interval [-1, 1]. Similarly, the range of cos(x) is also between -1 and 1, but its behavior is different from sin(x), so the domain of cos^-1(x) is also restricted to the interval [-1, 1].Know more about the domain
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This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of thepyramid to the volume of the prism?1A} volume of Pyramidvolume of priamB} volume of pyramidvolume of priuamC} volume of pyramidvolume of priimD} Volume of pyramidvolume of priem
This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
1
A} volume of Pyramid
volume of priam
B} volume of pyramid
volume of priuam
C} volume of pyramid
volume of priim
D} Volume of pyramid
volume of
prime
____________________________________________
volume of the prism
Use finite differences or ratios to determine which parent function would best model the given data set.
Quantity 4, 6, 8, 10, 12.
Profit ($) 115.50, 225.00, 395.50, 627.00, 919.50.
A. quadratic
B. cubic
C. linear
D. constant
The quadratic function is the parent function that best models the given data set. A. quadratic
How we get the parent function?To determine the parent function, we can use the finite differences method, which involves calculating the differences between consecutive terms in the data set.
We can then repeat this process until we reach a constant difference, indicating a linear relationship, or a constant second difference, indicating a quadratic relationship.
Quantity Profit
4 115.506 225.008 395.5010 627.0012 919.50First differences:
225.00-115.50=109.50
395.50-225.00=170.50
627.00-395.50=231.50
919.50-627.00=292.50
Second differences:
170.50-109.50=61
231.50-170.50=61
292.50-231.50=61
The second differences are constant, indicating a quadratic relationship between the quantity and profit. Therefore, the answer is A. quadratic.
The finite differences method involves calculating the differences between consecutive terms in the data set.
In this case, we calculated the first differences by subtracting each profit value from the previous one, and then calculated the second differences by subtracting each first difference from the previous one.
If the second differences are constant, then the relationship between the two variables is quadratic.
Therefore, we can conclude that a quadratic function is the parent function that best models the given data set.
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An increasing number of consumers believe they have to look out for themselves in the marketplace. According to a survey conducted by the Yankelovich Partners for USA WEEKEND magazine, 60% of all consumers have called an 800 or 900 telephone number for information about some product. Suppose a random sample of 25 consumers is contacted and interviewed about their buying habits
The probability that 11 or more of these consumers have called an 800 or 900 telephone number for information about some product is approximately 0.326.
How is the binomial probability distribution employed in statistics? What is it?The number of successes in a certain number of independent trials that all have the same probability of success are described by the discrete probability distribution known as the binomial probability distribution. The probability of success is constant during all trials, and it is used in statistics to describe situations where there are two alternative outcomes (success or failure).
The binomial probability distribution is given as:
P(X ≥ k) = 1 - P(X < k)
Here, p = 0.60, and the sample size is n = 20.
Thus,
P(X ≥ 11) = 1 - P(X < 11)
= 1 - ∑(20 choose x) (0.6)ˣ (0.4)⁽²⁰⁻ˣ⁾ for x from 0 to 10
P(X ≥ 11) = 0.326
Hence, the probability that 11 or more of these consumers have called an 800 or 900 telephone number for information about some product is approximately 0.326.
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The complete question is:
and a picture of a charger just because
Answer:
1. 1
2. 5
3. lost 0.8 pounds
Step-by-step explanation:
The least value (or the most she lost) is in week 1
The greatest value (or the most she gained) is in week 5
When you add all the values together, you get:
-4.1 (lost)
3.3 (gained)
3.3 - 4.1 = -0.8
She lost a total of 0.8 pounds
These are your answers
Hope this helps!