The probability that more than one woman will wear sunscreen when outside for more than one hour can be calculated using the binomial distribution.
The binomial distribution is a probability distribution that calculates the probability of a certain number of successes in a fixed number of independent trials. The binomial distribution is a discrete probability distribution that is characterized by two parameters: the probability of success in a single trial (p) and the number of trials (n).In this question, we need to find the probability that more than one woman will wear sunscreen when outside for more than one hour. Since we are dealing with more than one woman, we need to use the binomial distribution with the following parameters:p = probability that a woman wears sunscreen when outside for more than one hourn = number of womenLet's assume that p = 0.6 (60% chance that a woman will wear sunscreen when outside for more than one hour) and n = 3 (three women are outside for more than one hour).The probability that no woman will wear sunscreen is (1 - 0.6)^3 = 0.064.The probability that one woman will wear sunscreen is 3 × 0.6 × (1 - 0.6)^2 = 0.288.The probability that two women will wear sunscreen is 3 × 0.6^2 × (1 - 0.6) = 0.432.The probability that three women will wear sunscreen is 0.6^3 = 0.216.The probability that more than one woman will wear sunscreen is the sum of the probabilities that two or three women will wear sunscreen:P(X > 1) = P(X = 2) + P(X = 3) = 0.432 + 0.216 = 0.648Therefore, the probability that more than one woman will wear sunscreen when outside for more than one hour is 0.648 or 64.8%.
To accurately calculate the probability of more than one woman wearing sunscreen when outside for more than one hour, we would need more information, such as the total number of women and the individual probabilities of them wearing sunscreen.
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(work)(study) + (work)(practice) + (work)(perseverance)
9514 1404 393
Answer:
(work)(study + practice + perseverance)
Step-by-step explanation:
(work) is the common factor in the three products. It can be factored out:
(work)(study + practice + perseverance)
. A customer at a store paid $42 for 4 pairs of pants and 3 shirts. At the same store, a
second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pain
of pants is the same, and the price of each shirt is the same.
-Which system of equations can be used to find the price in dollars of each pair of
pants, x, and each shirt, y?
Answer:
A
Step-by-step explanation:
Which shows three mixed numbers that have sum of 10?
A.1 2/3 + 3 5/12 + 4 3/4
B.3 1/3 + 3 1/4 + 3 5/12
C.2 3/8 + 5 1/2 + 1 1/4
D.5 1/4 + 1 7/8 + 3 7/8
Answer:
B
Step-by-step explanation:
Add whole numbers first 3+3+3= 9
Convert fractions to have same denominators 4/12+3/12+5/12= 1
Add both numbers together 9+1= 10
Let f(t) be a function on [0,[infinity]). The Laplace transform of f is the function F defined by the integral F(s)=∫ 0
[infinity]
e −st
f(t)dt Use this definition to determine the Laplace transform of the following function. f(t)={ 8−t,
0,
0
8
The Laplace transform of f(t) is F( s)= for s
= and F( s)=32 otherwise. (Type exact answers.)
The Laplace transform of the given function f(t) is:
F(s) = 64 - 32 *\(e^(-8s)\) for s ≠ 0
F(s) = 0 for s = 0
To find the Laplace transform of the given function f(t) = {8−t, 0<t<8, 0, t>=8}, we can evaluate the integral using the definition of the Laplace transform:
F(s) = ∫₀^∞ \(e^(-st) f(t) dt\)
For 0 < t < 8, the function f(t) is 8 - t. Therefore, we can write:
F(s) = ∫₀^8 \(e^(-st) (8 - t) dt\)
Integrating this expression:
F(s) = [8t -\((t^2/2) * e^(-st)] from 0 to 8\)
Evaluating the integral limits:
F(s) =\([8(8) - (8^2/2) * e^(-8s)] - [8(0) - (0^2/2) * e^(-0s)]\)
Simplifying further:
F(s) = \(64 - 32 * e^(-8s)\)
For t >= 8, the function f(t) is 0. Therefore, the Laplace transform is simply 0 for s not equal to 0.
Combining both cases, we have:
F(s) = 64 - 32 *\(e^(-8s)\)for s ≠ 0
F(s) = 0 for s = 0
So, the Laplace transform of the given function f(t) is:
F(s) = 64 - 32 * \(e^(-8s)\)for s ≠ 0
F(s) = 0 for s = 0
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20-(-3) for algebra to find the difference
Hey there!
ANSWER: \(-60\)EXPLANATION:\(20-(-3)\)
\(Subtract:\\20-(-3)\\=-60(ANSWER)\)
Hope this helps!
\(-TestedHyperr\)
Solve the proportion. 17/15 = 10/2x-2
Answer:
\(x = 8\frac{1}{12}\)
Step-by-step explanation:
\(\frac{17}{15} =\frac{10}{2x-2}\)
\(17 ( 2x - 2 ) = 150\)
\(34x - 34 = 150\)
\(34x = 184\)
\(x = \frac{97}{12} = 8\frac{1}{12}\)
Answer:
Step-by-step explanation:
\(\frac{17}{15}= \frac{10}{2x-2}\)
\((2x-2 )*\frac{17}{15} =\frac{10}{2x-2} *(2x-2)\)
\(\frac{34x-34}{15} = 10\)
\(15*\frac{34x-34}{15} = 10*15\)
\(34x-34=150\)
\(34x=150+34\)
\(34x=184\)
\(x=\frac{92}{17}\)
On Monday, Maggie ran n miles. On Tuesday, she ran 90% of the number of miles that she ran on Monday. On Wednesday, she ran 50% of the
number of miles that she ran on Tuesday.
Move a symbol to the box and expressions to the blanks to create two equivalent expressions that represent the total number of miles
Maggie ran on Monday, Tuesday, and Wednesday.
First expression: n +0.900
Second expression:
Answer:
50% times n + 0.900
Step-by-step explanation:
I Think It's That.
Answer the following questions:1. There are two types of improper integrals. What is the main difference between them?
The main difference between the two types of improper integrals is the behavior of the integrand as it approaches one or both of the limits of integration.
The first type of improper integral has a finite limit of integration but the integrand becomes unbounded or approaches infinity at that limit. The second type of improper integral has one or both limits of integration as infinity, and the integrand must behave appropriately as it approaches these limits.
For the first type of improper integral, we use a limit to evaluate the integral, taking the limit as the variable approaches the limit of integration. If the limit exists and is finite, then the improper integral is convergent and has a finite value. If the limit does not exist or is infinite, then the improper integral is divergent and has no finite value.
For the second type of improper integral, we also use a limit to evaluate the integral, taking the limit as the variable approaches infinity (or negative infinity) or as both limits approach infinity.
Again, if the limit exists and is finite, then the improper integral is convergent and has a finite value. If the limit does not exist or is infinite, then the improper integral is divergent and has no finite value.
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An adult sleeps about 480 minutes per day an infant sleeps about 820 minutes per day about how many more minutes does an infant sleep than an adult in one week. What is the given information that will be used to solve the problem?
Answer:2380 minutes. By saying how many more minutes does an infant sleep than an adult in one week impies that you have to subtract how long an adult sleeps taken away from the amount of time an infinte sleeps. Once you get the answer you multiply it by seven.
Step-by-step explanation:
Answer:340 minutes
Step-by-step explanation:you subtract the amount an infant sleeps (820 minutes) by the amount an adult sleeps (480 minutes)
820-480=340
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST PLZ HELP!!!
In the following system, which variable is easier to eliminate?
x +3y = 22
-x + 17y = 56
x
y
neither
Answer:
X
Step-by-step explanation:
X because they are the same just add the two equations and it is 20y=78
Hope this helps plz hit the crown :D
35. The coordinates of the endpoints of are Q (8, 2) and R (5, 7). Which measurement is closest to the length of in units
To find the length of a line segment with endpoints Q(8, 2) and R(5, 7), we can use the distance formula. The measurement closest to the length of the line segment can be determined by calculating the distance between the two points using the formula and comparing the result to other given measurements.
The distance formula is used to find the length of a line segment between two points in a coordinate plane. The formula is given as:
d = √[(x2 - x1)² + (y2 - y1)²]
where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, the coordinates of the endpoints are Q(8, 2) and R(5, 7). We can substitute these values into the distance formula and calculate the distance between the points.
d = √[(5 - 8)² + (7 - 2)²]
= √[(-3)² + 5²]
= √[9 + 25]
= √34
The length of the line segment QR is approximately √34 units. To determine which given measurement is closest to this length, you would compare the value of √34 to the other given measurements and select the one that is closest in value.
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Drew is making a dart board. The diameter of the dart board is 48 centimeters. What is the approximate circumference?
Answer:
119 cm got it right on edge 2020
Step-by-step explanation:
Its right
Define the following relations on A = {0, 1, 2, 3}. • R1 = {(0,0), (1,1), (2, 2), (3,3)} R2 = {(0,0),(1,1),(0,2), (2, 2), (2,3), (3,3)} • R3 = {(0,0), (0,1),(1,0), (1, 1), (2, 2), (3,3)} Are the following statements true or false? . ? 1. R, is symmetric ? 2. Rz is reflexive ? 3. R4 is anti-symmetric ? 4. Rz is symmetric ? 5. R2 is symmetric ? 6. R3 is anti-symmetric ? 7. R2 is anti-symmetric ? 8. R is transitive ? 9. R2 is transitive ? 10. Rz is transitive ? 11. R, is reflexive ? 12. R1 is reflexive
The relation is not symmetric because the value (0,1) is not a subset of (1,0) in the set and, the relation is not transitive because no number completes the set for transitivity.
Relation R1:
The relation R1 is a reflexive relation, which is a symmetric relation but not a transitive relation. It is a subset of the identity relation.
Relation R2:
The relation R2 is a reflexive relation, which is a symmetric and not transitive relation. It is a subset of R1.
Relation R3:
R3 is a reflexive relation, which is neither a symmetric nor a transitive relation.
Conclusion:
1. R is false.
2. Rz is true.
3. R4 is false.
4. Rz is false.
5. R2 is true.
6. R3 is false.
7. R2 is false.
8. R is true.
9. R2 is false.
10. Rz is true.
11. R is true.
12. R1 is true.
Since all the values have an identity with themselves, the relation is reflexive. But the relation is not symmetric because the value (0,1) is not a subset of (1,0) in the set and the relation is not transitive because no number completes the set for transitivity.
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A ramp is elevated to a height of 7 inches from the base. The horizontal distance between the lower end of the ramp and the base is 19 inches, as shown in the figure. What is the length of the ramp?
The length of the ramp is \(\sqrt{410}\) inches.
According to the question,
We have the following information:
A ramp is elevated to a height of 7 inches from the base. The horizontal distance between the lower end of the ramp and the base is 19 inches.
So, it will be a right-angled triangle.
Now, we can use Pythagoras theorem to find the length of the ramp which is the hypotenuse of the triangle.
Let's denote the length of the ramp to be l, elevated height to be p and horizontal distance to be b.
\(l^{2} =p^{2} +b^{2}\)
\(l^{2} =7^{2} +19^{2}\)
\(l^{2}\) = 49+361
\(l^{2}\) = 410
l = \(\sqrt{410}\) inches
Hence, the length of the ramp is \(\sqrt{410}\) inches.
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Make comparison true 7 and -10
Answer: they are both real numbers and they are both rational
Solve the given equation. Round to the nearest ten-thousandth.
PLEASE HELP ME
Answer:
0.667
Step-by-step explanation:
3x = 2
3x/3 = 2/3
x = 2/3
0.66666666666666666666666666666666666666666666666.....
Answer: 0.667
ASAP I need a quick answer pls
Answer:
62 square feet.
Step-by-step explanation:
7*5=35, 9*3=27, 35+27=62
3/5+(−1/4) DIVIDED BY 7/10
Answer:
0.5
Step-by-step explanation:
Well, first of all, I dislike dividing by fractions, so let's turn these fractions into decimals.
\(\frac{3}{5} + \frac{-1}{4} / \frac{7}{10}\)
0.6 + -0.25 ÷ 0.7
Now we an solve.
0.60 - 0.25 = 0.35
0.35 ÷ 0.7 = 0.5
A scuba diver descends 20.5 feet per minute towards the ocean floor for 4 minutes and then ascends 15 1/3 feet per minute towards the water’s surface for 2 minutes.
What is the total change in the diver’s depth?
The total change in the scuba diver’s depth is _ feet.
Answer:
-51 1/3 ft
Step-by-step explanation:
First, he descends:
-20.5 ft/min × 4 min = -82 ft
Then he ascends:
-82 ft + 15 1/3 ft/min × 2 min =
= -82 ft + 30 2/3 ft
= -51 1/3 ft
GIVING BRAINLEIST HURRY PLEASE ‼️‼️‼️‼️
Answer:
I would say NO
Step-by-step explanation:
because if you look at those triangles, the one on they have two matching angles and two one side. The other angle in the triangle on the left isn't marked or anything so we can assume and the one on the right has no marked side. I hope I made a little sense. I don't know how to explain but I guess in short you could say that you don't have enough information to determine if they're the same
AGAIN!! I CAN'T PROMISE IF THIS IS RIGHT!!
PLS HELP ASAP I WILL GIVE BRAINLIEST
Answer:
Poland lost the highest percentage
Answer:
Poland lost the highest percentage of their country's population in the war
Step-by-step explanation:
In the graph it can be clearly seen that Poland had the highest loss of civilian lives during the entire war.
The symbol used for the variance of the sample is a . σ.
b. σ^2. c. s.
d. s^2.
The symbol used for the variance of the sample is s^2.
Therefore, the correct answer is d. s^2.
The correct symbol used for the variance of the sample is s^2. The symbol σ^2 is used for the variance of the population, not the sample. The variance is a statistical measure that quantifies the spread or variability of a set of data points around the mean. It measures how much the individual data points deviate from the average.
The symbol s^2 is commonly used to represent the sample variance to distinguish it from the population variance symbol, which is σ^2. The population variance uses the Greek letter sigma (σ), while the sample variance uses the lowercase letter s.
Therefore, the correct answer is d. s^2.
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suppose a drug is known to have mild side effects in 75% of the people who take it . it is administered to 100 people. using the binomial distribution, find the probability that more than 70 people will experience mild side effects
Let X be the number of people who experience mild side effects after taking the drug. X follows a binomial distribution with parameters n = 100 (the number of people taking the drug) and p = 0.75 (the probability of mild side effects).
To find the probability that more than 70 people will experience mild side effects, we need to calculate:
P(X > 70) = 1 - P(X ≤ 70)
Using the cumulative distribution function (CDF) of the binomial distribution, we can find:
P(X ≤ 70) = F(70) = ∑(i=0 to 70) [nCi * p^i * (1-p)^(n-i)]
where nCi is the binomial coefficient for choosing i items out of n.
We can use a software or calculator to calculate this sum, or use an approximation like the normal approximation to the binomial distribution.
Assuming normal approximation is appropriate, with mean μ = np = 75 and standard deviation σ = sqrt(np(1-p)) = 3.354, we can calculate the z-score:
z = (70.5 - μ) / σ = (70.5 - 75) / 3.354 = -1.33
Using a standard normal distribution table or a calculator with normal distribution functions, we can find the probability of z-score less than -1.33 is 0.0918, which is the probability of 70 or fewer people experiencing mild side effects.
Therefore, the probability of more than 70 people experiencing mild side effects is:
P(X > 70) = 1 - P(X ≤ 70) = 1 - 0.0918 = 0.9082
Using the binomial distribution, there is a probability of approximately 0.9082 that more than 70 people will experience mild side effects out of 100 people who take the drug.
____ positioning is essentially the same as not using any css positioning at all. a.Staticb.Relativec.Absoluted.Elastic
The correct answer is "a." Static positioning which is positive essentially the same as not using any CSS positioning at all.
The correct answer to your question is: a. Static positioning is essentially the positive same as not using any CSS positioning at all. Static positioning is the default positioning for HTML elements, and elements with static positioning remain in their normal flow on the page.
CSS aims to differentiate between content and presentation, including layout, colors, and fonts. This separation can improve the accessibility of content; provides more flexibility and control in terms of presentation features; Have multiple websites share the same style by specifying the relevant CSS in separate .css files. This reduces the complexity and overlap of the content and caching of css files to improve the page speed of the page displaying the data and its formatting.
Separation of text and content also allows the same page to be written in different formats on screen, print, voice (in voice-based browser or screen reader), and Braille Haptic-based devices. CSS also has resize rules if the content is being accessed from a mobile device.
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An ice cream store makes 144 quarts of ice cream in 8 hours.
how quarts could be made in 12 hours.
The Jordan family budgeted 16% of their disposable annual income of $44,000 for food, but found they needed $35 more per week. How much of their income should now be added to their food budget?
$1,587. 00
$1,820. 00
$1,924. 00
$2,042. 00
None of these choices are correct
Multiplication is the process of multiplying two numbers. The amount that is needed to be added to the income is $1,820.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Jordan's family needs to add $35 more per week to their food budget, Since a year has 52 weeks, therefore, the amount that is needed to be added by Jordan's family is,
\(\rm Amount\ Needed = \$35 \times 52 = \$1,820.00\)
Hence, the amount that is needed to be added to the income is $1,820.
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robert planted 12 daffodils bulbs and 18 tulip bulbs in his gardenl ast winter. if all the bulbs sprout and bloom this spring, what will be the same ratio of tulips of daffodils in roberts garden? express as a simplified answer?2/ 3 18/123/212/8
If Robert Planted 12 daffodils and 18 Tulips, it implies that for every 18 Tulips there will be 12 daffodils, meaning that the ratio is 18 to 12.
In simplified notation, the above ratio is 3/2.
Answer: Third option.
The equation of line ef is y = 2x 1. write an equation of a line parallel to line ef in slope-intercept form that contains point (0, 2). y = 2x − 4 y = 2x 2 y = negative one halfx − 4 y = negative 1 over 2x 2
So y = 2x + 2 is the equation of a line parallel to line ef and includes point (0, 2).
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
Here,
Since line ef has a slope of 2, any line parallel to it will also have a slope of 2. The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find an equation of a line parallel to line ef that contains point (0, 2), we need to find its y-intercept.
We can use the point-slope form of a line to find the equation of the line: y - y1 = m(x - x1)
Plugging in the point (0, 2) and the slope of 2, we get:
y - 2 = 2(x - 0)
y - 2 = 2x
y = 2x + 2
So, the equation of a line parallel to line ef and containing point (0, 2) is y = 2x + 2.
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given the data x: 1 2 3 5 6 f(x): 15 8 5.5 30 52 calculate f (4) using (a) newton's interpolating polynomials of order 4, (b) cubic spline with not-a-knot end conditions, (c) cubic spline with zero-slope clamped end conditions, and (d) piecewise cubic hermite interpolation.
The f(4) using is found using newton's interpolating polynomials of order 4.
function y=CL10_Exercise(part)
%% Input
% part: string for part a,b,c,d
%
%% Output
% y value of the underlying function at x=4
%
%% Write your code here
X=[1,2,3,5,6];
Y=[15,8,5.5,30,52];
x=4;
y=1;
switch part
case 'a'
%% Newton interpolation (Order 4)
a=X;
b=Y;
%x=input('Enter x: ');
[m,n]=size(a);
fx=0;
for i=1:n
%_____________Calculating Dividing Difference_____________________
s=0;
for j=1:i
p=1;
for k=1:i %Denominator part product
if(k~=j)
p=p*(a(j)-a(k));
end
end
s=s+b(j)/p; %summation f(x)/product
end
%_________________________________________________________________
p=1;
for j=1:i-1 %coefficient part of f[...]
p=p.*(x-a(j));
end
fx=fx+s.*p; %Polynomial!
end
y=fx;
case 'b'
%% not-a-knot spline
case 'c'
%% clamped spline
case 'd'
%% Hermite spline
end
end
Hence, the f(4) using is found using newton's interpolating polynomials of order 4.
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Simplify 5/v10 plz help
Answer:
D
Step-by-step explanation:
You have to multiply the numerator and denominator and conjugate
Answer:
Choice 3: \(\sqrt{2}\)
Step-by-step explanation:
The first thing is that you have to break the √10. The only way you can break it is to make it into a 5 and a √2. So now it should look like this \(\frac{5}{5\sqrt{2}}\). Then we will divide the 5 by 5 and that'll become 1, so we are left with a \(\sqrt{2}\) and that's it.