Answer:
Length = 4x+5
Breadth = 3x
Area = l × b
= (4x+5) × 3x
= 12 x² + 15 x
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution.
Answer:
x=½
y=5
Step-by-step explanation:
(8x+7y=39)2
16x+14y=78
4x-14y=-68 add the two equations
20x=10.
divide both sides by 20
x=½
8x+7y=39
4+7y=39
7y=39-4
7y=35
y=5
The value of x and y in the system of equation using elimination method is 1 / 2and 5 respectively.
8x + 7y = 39
4x – 14y = –68
Multiply the first equation to enable the elimination of the y-term:Multiply by 2
16x + 14y = 78
Add the equations to eliminate the y-terms:-14y + 14y = 0
4x + 16x = 20x
-68 + 78 = 10
Solve the new equation for the x-value20x = 10
x = 1 / 2
Substitute the x-value back into either original equation to find the y-value8(1 / 2) + 7y = 39
4 + 7y = 39
7y = 35
y = 35 / 7
y = 5
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Use the substitution x = 2 − cos θ to evaluate the integral ∫ 2 3/2 ( x − 1 3 − x )1 2 dx. Show that, for a < b, ∫ q p ( x − a b − x )1 2 dx = (b − a)(π + 3√ 3 − 6) 12 , where p = ???????????????????????????
If the integral as written in my comment is accurate, then we have
[tex]I=\displaystyle\int_{3/2}^2\sqrt{(x-1)(3-x)}\,\mathrm dx[/tex]
Expand the polynomial, then complete the square within the square root:
[tex](x-1)(3-x)=-x^2+4x-3=1-(x-2)^2[/tex]
[tex]I=\displaystyle\int_{3/2}^2\sqrt{1-(x-2)^2}\,\mathrm dx[/tex]
Let [tex]x=2-\cos\theta[/tex] and [tex]\mathrm dx=\sin\theta\,\mathrm d\theta[/tex]:
[tex]I=\displaystyle\int_{\pi/3}^{\pi/2}\sqrt{1-(2-\cos\theta-2)^2}\sin\theta\,\mathrm d\theta[/tex]
[tex]I=\displaystyle\int_{\pi/3}^{\pi/2}\sqrt{1-\cos^2\theta}\sin\theta\,\mathrm d\theta[/tex]
[tex]I=\displaystyle\int_{\pi/3}^{\pi/2}\sqrt{\sin^2\theta}\sin\theta\,\mathrm d\theta[/tex]
Recall that [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but for all [tex]\theta[/tex] in the integration interval we have [tex]\sin\theta>0[/tex]. So [tex]\sqrt{\sin^2\theta}=\sin\theta[/tex]:
[tex]I=\displaystyle\int_{\pi/3}^{\pi/2}\sin^2\theta\,\mathrm d\theta[/tex]
Recall the double angle identity,
[tex]\sin^2\theta=\dfrac{1-\cos(2\theta)}2[/tex]
[tex]I=\displaystyle\frac12\int_{\pi/3}^{\pi/2}(1-\cos(2\theta))\,\mathrm d\theta[/tex]
[tex]I=\dfrac\theta2-\dfrac{\sin(2\theta)}4\bigg|_{\pi/3}^{\pi/2}[/tex]
[tex]I=\dfrac\pi4-\left(\dfrac\pi6-\dfrac{\sqrt3}8\right)=\boxed{\dfrac\pi{12}+\dfrac{\sqrt3}8}[/tex]
You can determine the more general result in the same way.
[tex]I=\displaystyle\int_p^q\sqrt{(x-a)(b-x)}\,\mathrm dx[/tex]
Complete the square to get
[tex](x-a)(b-x)=-(x-a)(x-b)=-x^2+(a+b)x-ab=\dfrac{(a+b)^2}4-ab-\left(x-\dfrac{a+b}2\right)^2[/tex]
and let [tex]c=\frac{(a+b)^2}4-ab[/tex] for brevity. Note that
[tex]c=\dfrac{(a+b)^2}4-ab=\dfrac{a^2-2ab+b^2}4=\dfrac{(a-b)^2}4[/tex]
[tex]I=\displaystyle\int_p^q\sqrt{c-\left(x-\dfrac{a+b}2\right)^2}\,\mathrm dx[/tex]
Make the following substitution,
[tex]x=\dfrac{a+b}2-\sqrt c\,\cos\theta[/tex]
[tex]\mathrm dx=\sqrt c\,\sin\theta\,\mathrm d\theta[/tex]
and the integral reduces like before to
[tex]I=\displaystyle\int_P^Q\sqrt{c-c\cos^2\theta}\,\sin\theta\,\mathrm d\theta[/tex]
where
[tex]p=\dfrac{a+b}2-\sqrt c\,\cos P\implies P=\cos^{-1}\dfrac{\frac{a+b}2-p}{\sqrt c}[/tex]
[tex]q=\dfrac{a+b}2-\sqrt c\,\cos Q\implies Q=\cos^{-1}\dfrac{\frac{a+b}2-q}{\sqrt c}[/tex]
[tex]I=\displaystyle\frac{\sqrt c}2\int_P^Q(1-\cos(2\theta))\,\mathrm d\theta[/tex]
(Depending on the interval [p, q] and thus [P, Q], the square root of cosine squared may not always reduce to sine.)
Resolving the integral and replacing c, with
[tex]c=\dfrac{(a-b)^2}4\implies\sqrt c=\dfrac{|a-b|}2=\dfrac{b-a}2[/tex]
because [tex]a<b[/tex], gives
[tex]I=\dfrac{b-a}2(\cos(2P)-\cos(2Q)-(P-Q))[/tex]
Without knowing p and q explicitly, there's not much more to say.
The confidence interval on estimating the heights of students is given as (5.4, 6.8). Find the sample mean of the confidence interval.
Answer:
The sample mean is 6.1
Step-by-step explanation:
Margin of Error (E) = (upper limit - lower limit)/2 = (6.8 - 5.4)/2 = 1.4/2 = 0.7
Sample mean = lower limit + E = 5.4 + 0.7 = 6.1
A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, which inequality represents m, the distances in miles he can travel in the taxi? m less-than-or-equal-to 10 m greater-than-or-equal-to 10 m less-than-or-equal-to 28 m greater-than-or-equal-to 28
Answer:
m less-than-or-equal-to 28
Step-by-step explanation:
Xander's charge for m miles will be (3 +1.50m). He wants this to be no more than $45, so ...
3 +1.50m ≤ 45
1.50m ≤ 42 . . . . . . subtract 3
m ≤ 28 . . . . . . . . . .divide by 1.5
Answer: M is less than or equal to 28 or C
Step-by-step explanation:
GOT RIGHT ON E D G
Use quiver to create a clear slope field for the differential equation.
dy/dt= sin(y) + sin(t)
Answer:
The Matlab code along with the plot of slope field for the given differential equation is provided below.
Step-by-step explanation:
Matlab quiver function:
The Matlab's quiver function may be used to plot the slope field lines for any differential equation.
The syntax of the function is given by
quiver(x, y, u, v)
Where matrices x, y, u, and v must all be the same size and contain corresponding position and velocity components.
Matlab Code:
[t,y] = meshgrid(0:0.2:2, 0:0.2:2);
v = sin(y) + sin(t);
u = ones(size(v));
quiver(t,y,u,v)
xlabel('t')
ylabel('y(t)')
xlim([0 2])
ylim([0 2])
Output:
The plot of the given differential equation is attached.
A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.) height cm radius cm
Answer:
The height and the radius of the cylinder are 3.67 centimeters and 5.19 centimeters, respectively.
Step-by-step explanation:
The volume ([tex]V[/tex]) and the surface area ([tex]A_{s}[/tex]) of the cone, measured in cubic centimeters and square centimeters, respectively, are modelled after these formulas:
Volume
[tex]V = \frac{h\cdot r^{2}}{3}[/tex]
Surface area
[tex]A_{s} = \pi\cdot r \cdot \sqrt{r^{2}+h^{2}}[/tex]
Where:
[tex]h[/tex] - Height of the cylinder, measured in centimeters.
[tex]r[/tex] - Radius of the base of the cylinder, measured in centimeters.
The volume of the paper drinking cup is known and first and second derivatives of the surface area functions must be found to determine the critical values such that surface area is an absolute minimum. The height as a function of volume and radius of the cylinder is:
[tex]r = \sqrt{\frac{3\cdot V}{h} }[/tex]
Now, the surface area function is expanded and simplified:
[tex]A_{s} = \pi\cdot \sqrt{\frac{3\cdot V}{h} }\cdot \sqrt{\frac{3\cdot V}{h}+ h^{2}}[/tex]
[tex]A_{s} = \pi\cdot \sqrt{\frac{9\cdot V^{2}}{h^{2}} + 3\cdot V\cdot h }[/tex]
[tex]A_{s} = \pi\cdot \sqrt{3\cdot V} \cdot\sqrt{\frac{3\cdot V+ h^{3}}{h^{2}} }[/tex]
[tex]A_{s} = \pi\cdot \sqrt{3\cdot V}\cdot \left(\frac{\sqrt{3\cdot V + h^{3}}}{h}\right)[/tex]
If [tex]V = 33\,cm^{3}[/tex], then:
[tex]A_{s} = 31.258\cdot \left(\frac{\sqrt{99+h^{3}}}{h} \right)[/tex]
The first and second derivatives of this function are require to determine the critical values that follow to a minimum amount of paper:
First derivative
[tex]A'_{s} = 31.258\cdot \left[\frac{\left(\frac{3\cdot h^{2}}{\sqrt{99+h^{2}}}\right)\cdot h - \sqrt{99+h^{3}} }{h^{2}}\right][/tex]
[tex]A'_{s} = 31.258\cdot \left(\frac{3\cdot h^{3}-99-h^{3}}{h^{2}\cdot \sqrt{99+h^{2}}} \right)[/tex]
[tex]A'_{s} = 31.258\cdot \left(\frac{2\cdot h^{3}-99}{h^{2}\cdot \sqrt{99+h^{2}}} \right)[/tex]
[tex]A'_{s} = 31.258\cdot \left[2\cdot h\cdot (99+h^{2}})^{-0.5} -99\cdot h^{-2}\cdot (99+h^{2})^{-0.5}\right][/tex]
[tex]A'_{s} = 31.258\cdot (2\cdot h - 99\cdot h^{-2})\cdot (99+h)^{-0.5}[/tex]
Second derivative
[tex]A''_{s} = 31.258\cdot \left[(2+198\cdot h^{-3})\cdot (99+h)^{-0.5}-0.5\cdot (2\cdot h - 99\cdot h^{-2})\cdot (99+h)^{-1.5}\right][/tex]
Let equalize the first derivative to zero and solve the resultant expression:
[tex]31.258\cdot (2\cdot h - 99\cdot h^{-2})\cdot (99+h)^{-0.5} = 0[/tex]
[tex]2\cdot h - 99 \cdot h^{-2} = 0[/tex]
[tex]2\cdot h^{3} - 99 = 0[/tex]
[tex]h= \sqrt[3]{\frac{99}{2} }[/tex]
[tex]h \approx 3.672\,cm[/tex]
Now, the second derivative is evaluated at the critical point:
[tex]A''_{s} = 31.258\cdot \{[2+198\cdot (3.672)^{-3}]\cdot (99+3.672)^{-0.5}-0.5\cdot [2\cdot (3.672) - 99\cdot (3.672)^{-2}]\cdot (99+3.672)^{-1.5}\}[/tex]
[tex]A''_{s} = 18.506[/tex]
According to the Second Derivative Test, this critical value leads to an absolute since its second derivative is positive.
The radius of the cylinder is: ([tex]V = 33\,cm^{3}[/tex] and [tex]h \approx 3.672\,cm[/tex])
[tex]r = \sqrt{\frac{3\cdot V}{h} }[/tex]
[tex]r = \sqrt{\frac{3\cdot (33\,cm^{3})}{3.672\,cm} }[/tex]
[tex]r \approx 5.192\,cm[/tex]
The height and the radius of the cylinder are 3.672 centimeters and 5.192 centimeters, respectively.
ab = cde
In order to solve the equation above for c, you must multiply both sides of the equation by the same expression
ab x _? = cde x _?
The resulting equation is
C= _?
Answer:
1) We have to multiply both sides by 1/(de)
2) c=ab/(cd)
Step-by-step explanation:
We have to achieve the right side expression be c only. To do that we have to multiply cde by 1/(de) . However we have to multiply the left side by
1/(de) as well.
So the resulting left side expression is:
ab *1/(de)=ab/(de)
So c= ab/(de)
Given equation in the question is,
ab = cde
To solve the given equation for the value of c, follow the algebraic rules,
1). Multiply both the sides of the equation with [tex]\frac{1}{de}[/tex],
[tex]ab\times \frac{1}{de} = \frac{cde}{de}[/tex]
[tex]\frac{ab}{de}= \frac{cde}{de}[/tex]
[tex]\frac{ab}{de}=c[/tex]
Therefore, resulting equation for c will be,
[tex]c=\frac{ab}{de}[/tex]
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divide
a) 21564÷2
b)40565÷5
c)6365÷8
d)1436÷7
answer please fast
Answer:
21564 ÷ 2 = 10782
40565 ÷ 5 = 8113
6365 ÷ 8 = 795.625
1436 ÷ 7 = 205.142857143
Bruce goes hiking every 2 days and swimming every 11 days . He did both kinds of exercise today . How many days from now will he next go both hiking and swimming again.
Answer:
22 more days
Step-by-step explanation:
so basically you have to find out the LCM of 2 and 11. which is 22. And that means they go hiking AND swimming in the same day the next 22 days. (basically what the other person said lol)
AND that is basically your answer :D
Karen, Pete, Rose, and David are comparing their solutions to a homework problem below.
(+ + 8
(-2)
1
Select the student who correctly subtracted the rational expressions,
Karen:
Pete:
+ 8 - 7
2
2)
5
(1 + 8)(x + 5) - 7
(1 - 2)(+ 5)
12 + 135 + 40 - 77 + 14
2 + 3x - 10
1? +61 + 54
12 + 91 - 10
Rose:
David:
(1 + 5
(1 + 8)
(r
+3+*5
(+216-6= x2 + 35 – 10
1 + 1
x2 + 3x - 10
7: + 8) + (x - 2)(= + 5)
7(: - 2)
II
75 + 8 + 12 + 91 - 10
78 14
2 + 101 - 2
70 - 14
Answer:pete
Step-by-step explanation:
You and 3 of your friends decide to sell lemonade around town, and then split the money you make evenly. You decide to sell each cup of lemonade for 50 cents. In total, you all sell 120 cups of lemonade. How much money will each of you earn? Write an expression for the problem too.
Expression:
Answer:
$15
Step-by-step explanation:
Each cup is 50 cents which is basically $0.50
Multiply $0.50 by 120= $60
Because you and your three friends equal 4 total people,
divide 60 by 4 to get your own profit:
60/4=15
Q1. 12.5g of medicine cost 1,075 naira. What is the cost of 1g of medicine. Q2. What is the total pay for someone who works 42 hours and gets 645 naira per hour
Step-by-step explanation:
Q1. 1,075÷12.5 =8
So Therefore 1g of medicine cost 8 naira
Q2.645÷42=15.3
so therefore 1 hour cost 15.3 naira
The cost of 1g of medicine is 86 naira and the total pay for someone who works 42 hours is 27090 naira.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that 12.5g of medicine cost 1,075 naira.
We have to find the cost of 1g of medicine.
12.5g=1075 naira
1g=1075/12.5
1g=86 naira.
the total pay for someone who works 42 hours and gets 645 naira per hour
The cost for 42 hours
42×645
27090 naira
Hence, the cost of 1g of medicine is 86 naira and the total pay for someone who works 42 hours is 27090 naira.
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Let g be the function defined by g(x) = − 1 2 x + 5 if x < 6 x − 6 if x ≥ 6. Find g(−6), g(0), g(6), and g(12). g(−6) = g(0) = g(6) = g(12) =
Answer:
g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6
Step-by-step explanation:
We assume your function definition is ...
[tex]g(x)=\left\{\begin{array}{ccc}-\dfrac{1}{2}x+5&\text{for}&x<6\\x-6&\text{for}&x\ge 6\end{array}\right.[/tex]
For each given value of x, determine which segment applies, then evaluate.
For x = -6 and for x = 0, the first segment applies:
g(-6) = (-1/2)(-6) +5 = 3 +5 = 8
g(0) = (-1/2)(0) +5 = 5
For x = 6 and x = 12, the second segment applies:
g(6) = (6) -6 = 0
g(12) = (12) -6 = 6
In summary, ...
g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6
what is the answer to 263·24−164·24+24
Answer:
2400
Step-by-step explanation:
You have to follow PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction). Based off of this, you have to do the multiplication first, and then add.
263 × 24 - 164 × 24 + 24
6312 - 3936 + 24
2376 + 24
2400
The value of the expression 263 · 24 − 164 · 24 + 24 will be 2400.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The expression is given below.
⇒ 263 · 24 − 164 · 24 + 24
Simplify the expression, then the value of the expression is given as,
⇒ 263 · 24 − 164 · 24 + 24
⇒ 6312 − 3936 + 24
⇒ 6336 − 3936
⇒ 2400
The value of the expression 263 · 24 − 164 · 24 + 24 will be 2400.
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Translate the following arguments into symbolic form. Then determine whether each is valid or invalid by constructing a truth table for each.If microchips are made from diamond wafers, then computers will generate less heat. Computers will not generate less heat and microchips will be made from diamond wafers. Therefore, synthetic diamonds will be used for jewelry.
Answer:
Argument is valid.
Step-by-step explanation:
Let M, C and S represent the premises. The the statements can be represented using these letters as:
M: Microchips are made from diamond wafers.
C: Computers will generate less heat.
S: Synthetic diamonds will be used for jewelry.
1st premises:
If microchips are made from diamond wafers, then computers will generate less heat.
Notice that the above statement is a conditional statement. So to represent such relationship, the material implication is used which has ⊃ symbol.
This can be translated into symbolic form using the horseshoe operator ⊃ as:
M ⊃ C
2nd premises:
Computers will not generate less heat and microchips will be made from diamond wafers.
Notice that the above statement is a compound statement. It has two part joined together with "and" i.e. Computers will not generate less heat "and" microchips will be made from diamond wafers. These are two conjuncts and both should be true for the premises/compound statement to be true. So to represent such relationship, the Conjunction is used which has • symbol.
This can be translated into symbolic form using the dot • symbol as:
Computer will not generate less heat is represented as ~C because C states that Computer will generate less heat and ~C states that Computer will not generate less heat. So ~C is the negation of C. Now the complete symbolic form is:
~C • M
third premises:
Therefore, synthetic diamonds will be used for jewelry is represented as:
S
This is basically the conclusion statement.
Truth Tables:
For M:
M
T
T
T
T
F
F
F
F
For C:
C
T
T
F
F
T
T
F
F
For ~C:
It reverses the truth values of C
~C
F
F
T
T
F
F
T
T
For S:
S
T
F
T
F
T
F
T
F
For M ⊃ C:
The above mentioned premise formed with this connective is true unless the left the antecedent is true and right the consequent is false.
M C M ⊃ C
T T T
T T T
T F F
T F F
F T T
F T T
F F T
F F T
For ~C • M
The truth table of conjunction of ~C and M is formed using truth table of reverse of C i.e. ~C and that of M. The conjunction is true when both conjuncts are true and if either of the two conjuncts is false then whole conjunction is false.
M ~C ~C • M
T F F
T F F
T T T
T T T
F F F
F F F
F T F
F T F
Now combining all to check the validity:
M C S M ⊃ C ~C • M S
T T T T F T
T T F T F F
T F T F T T
T F F F T F
F T T T F T
F T F T F F
F F T T F T
F F F T F F
The given argument is valid. The is because it is impossible for the above premises to be true and the conclusion to be false. You can see that when the premises M ⊃ C and ~C • M are true the conclusion S is also true.
We check validity by checking in the truth table if there is a row that has all true premises and a false conclusion. If there is then argument is invalid. Here in the truth table you can see that no row has all the premises true and a false conclusion. So the argument is valid.
The public radio show "A Prairie Home Companion," features news from the fictional town of Lake Wobegon, MN, home to many Norwegian bachelor farmers, and where "all the women are strong, all the men are good looking, and all the children are above average." Suppose average means average for the town. Such a town could not possibly exist, because (select all that apply)
a. not all women are strong
b. not all the children can be above average
c. not all Norwegian bachelor farmers are good looking
d. half the children must be below average
Answer:
b. not all the children can be above average
d. half the children must be below average
Step-by-step explanation:
In theory, all women could be strong and all men could be good looking, however, since the average is calculated based on the town children, it is not possible for all children to be above average.
Assuming a normal distribution, half the children must be at or below average, while the other half must be at or above the average.
Therefore, the correct answers are:
b. not all the children can be above average
d. half the children must be below average
Answer:
Second and last options are correct choices.
Step-by-step explanation:
If all the children are above average, then the average should not include the average of the children. Because it is impossible for a data set to be have values greater than it's average.
Best Regards!
According to an airline, flights on a certain route are on time 80% of the time. Suppose 17 flights are randomly selected and the number of on-time flights is recorded.
Required:
a. Explain why this is a binomial experiment.
b. Find and interpret the probability that exactly 11 flights are on time.
c. Find and interpret the probability that fewer than 11 flights are on time
d. Find and interpret the probability that at least 11 flights are on time.
e. Find and interpret the probability that between 9 and 11 flights, inclusive, are on time.
Answer:
a) Check Explanation
b) Probability that 11 out of the 17 randomly selected flights are on time = P(X = 11) = 0.0680
c) Probability that fewer than 11 out of the 17 randomly selected flights are on time
= P(X < 11) = 0.0377
d) Probability that at least 11 out of the 17 randomly selected flights are on time
= P(X ≥ 11) = 0.9623
e) Probability that between 9 and 11 flights, inclusive, out of the randomly selected 17 are on time = P(9 ≤ X ≤ 11) = 0.1031
Step-by-step explanation:
a) How to know a binomial experiment
1) A binomial experiment is one in which the probability of success doesn't change with every run or number of trials. (Probability of each flight being on time is 80%)
2) It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (It's either the flights are on time or not).
3) The outcome of each trial/run of a binomial experiment is independent of one another.
All true for this experiment.
b) Probability that exactly 11 flights are on time.
Let X be the random variable that represents the number of flights that are on time out of the randomly selected 17.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 17 randomly selected flights
x = Number of successes required = number of flights required to be on time
p = probability of success = Probability of a flight being on time = 80% = 0.80
q = probability of failure = Probability of a flight NOT being on time = 1 - p = 1 - 0.80 = 0.20
P(X = 11) = ¹⁷C₁₁ (0.80)¹¹ (0.20)¹⁷⁻¹¹ = 0.06803777953 = 0.0680
c) Probability that fewer than 11 flights are on time
This is also computed using binomial formula
It is the probability that the number of flights on time are less than 11
P(X < 11) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0376634429 = 0.0377
d) Probability that at least 11 out of the 17 randomly selected flights are on time
This is the probability of the number of flights on time being 11 or more.
P(X ≥ 11) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17)
= 1 - P(X < 11)
= 1 - 0.0376634429
= 0.9623365571 = 0.9623
e) Probability that between 9 and 11 flights, inclusive, are on time = P(9 ≤ X ≤ 11)
This is the probability that exactly 9, 10 or 11 flights are on time.
P(9 ≤ X ≤ 11) = P(X = 9) + P(X = 10) + P(X = 11)
= 0.0083528524 + 0.02672912767 + 0.06803777953
= 0.1031197592 = 0.1031
Hope this Helps!!!
Read the passage.
(1) I think that schools should switch from using paper textbooks to using computer tablets. (2)
Textbooks were effective in the pre-digital age, but now we live in a technology-based society, so
schools need to get with the program and adopt a modern approach to learning. (3) In fact, the chair
of the Federal Communications Commission said that "it's time for the next stage" of learning with
tablets and pointed out how textbooks are often out of date. (4) Opponents argue that tablets aren't
a good choice because initially they're very expensive. (5) The secretary of education pointed out
that tablets can be updated regularly, which saves money in the long run. (6) Not to mention the
pluses of having the latest and greatest info! (7) Many experts agree that switching to tablets is
important for the future of education.
To improve the logical flow of the paragraph, the bestplace to move sentence 7 is before
This question is incomplete because the options are missing; here is the question statement and options:
To improve the logical flow of the paragraph, the best place to move sentence 7 is before
A. Sentence 1.
B. Sentence 3.
C. Sentence 5.
D. Sentence 6.
The correct answer is B. Sentence 3
Explanation:
The paragraph develops an argument through different sections. This includes the thesis statement "schools should switch from using paper textbooks to using computer tablets", reasons and evidence that support this thesis, the explanation of one counterclaim, and finally, reasons to disprove the counterclaim and confirm the claim.
In the case of sentence 7 "Many experts agree that switching to tablets is important for the future of education" this provides a reason that supports the argument and due to this, it is more appropriate this sentence is placed after the thesis and before the counterclaim "Opponents argue that tablets ...".
In this context, this sentence should be placed before sentence 3 that belongs to the evidence provided to support the claim. Moreover, sentence 7 would appropriately introduce sentence 3 as they are both related to the opinion of experts about this issue.
The 7th sentence can be placed before the first, third, and fifth.
Decision makingThe process of making an important decision is known as decision making.
Given
7 statement is there.
To find the position of the 7th sentence.
How to place 7th sentences?7th sentence can be placed before the first because it seems that the conversation is starting.
7th sentence can be placed before the third because you can say as an update will be done by Federal Communications Commission.
7th sentence can be placed before the fifth because the secretary wants to implement it in his system due to its regular update.
Thus, the 7th sentence can be placed before the first, third, and fifth.
More about the decision-making link is given below.
https://brainly.com/question/3369578
Write the value of the money in dollars 4-8 Brainliest Awnser gets 7 points for greatness
4. 12 cent
5. $2.06
6. $1.56
7. $1.30
8. 86 cent
Use x=1 to identify the value of each expression.
Answer:
[tex] {9}^{1} = 9 \\ {3}^{1} = 3 \\ {1}^{3} = 1[/tex]
5∑12 i=1 kinda hard to type but 5 is on top!!
Answer:
60
Step-by-step explanation:
We are using sigma notation to solve for a sum of arithmetic sequences:
The 5 stands for stop at i = 5 (inclusive)
The i = 1 stands for start at i = 1
The 12 stands for expression of each term in the sum
Hurrryy!!!
What is the value of x in the solution to the system of linear equations?
y=3x+2
y=x-4
O-7
O-3
0 1
O 5
Answer:
-3
Step-by-step explanation:
I'm not sure what the 0s are all about, but I can help with the equation;
To do this, we can do substitution. By equaling x-4 to 3x+2, we get
x-4=3x+2
By isolating the x, we get
-2x=6
x=-3
Hope this helped!
The relative frequency distribution of the number of phobias reported by a hypothetical sample of 500 college students is given as follows.
0–2 0.48
3–5 0.26
6–8 0.12
9–11 0.09
12–14 0.05
Required:
a. What is the probability that a college student expresses fewer than three phobias?
b. What is the probability that a college student expresses more than eight phobias?
c. What is the probability that a college student has between 3 and 11 phobias?
Answer:
a. 0.48
b. 0.14
c. 0.47
Step-by-step explanation:
Data provided in the question
0 - 2 0.48
3 - 5 0.26
6 - 8 0.12
9- 11 0.09
12- 14 0.05
Based on the above information
a. The probability for fewer than three phobias is
= P( x < 3)
= 0.48
b. The probability for more than eight phobias is
= P( x >8)
= 0.09 + 0.05
= 0.14
c. Probability between 3 and 11 phobias is
= P(3 < x < 11)
= 0.26 + 0.12 + 0.09
= 0.47
Please help me on this question please
Answer:
-5°C < 5°C
The temperature was higher on Wednesday than on Tuesday.
What is the slope of the line between (−4, 4) and (−1, −2)?
Answer:
-2
Step-by-step explanation:
The slope of a line is
m = (y2-y1)/(x2-x1)
= (-2 -4)/(-1 - -4)
= -6/ ( -1 +4)
= -6 /3
=-2
Answer:
[tex]= - 2 \\ [/tex]
Step-by-step explanation:
[tex]( - 4 \: \: \: \: \: \: \: \: \: \: \: 4) = > (x1 \: \: \: \: \: \: y1) \\ ( - 1 \: \: \: \: - 2) = > (x2 \: \: \: \: \: \: y2)[/tex]
Now let's find the slope
[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - ( - 2)}{ - 4 - ( - 1)} \\ = \frac{4 + 2}{ - 4 + 1} \\ = \frac{6}{ - 3} \\ = - 2[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly to complete the trip
Answer:
4.9 hours = 4 hours 54 minutes
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (284 miles)/(58 mph) = 4.9 hours
4.9 hours - 4 hours = 0.9 hours
0.9 hours * (60 minutes)/(1 hour) = 54 minutes
4.9 hours = 4 hours 54 minutes
what is the solution set of y= x^2+2x+7 and y= x+7 ?
Answer:
(-1, 6)
(0, 7)
Step-by-step explanation:
Easiest and fastest way to do this is to graph both equations and analyze the graph for when they intersect each other.
Please answer this correctly
Answer:
75%
Step-by-step explanation:
There are 3 numbers that fit this rule, 3, 5, and 6. There is a 3/4 chance spinning one or a 75% chance.
Answer:
75%
Step-by-step explanation:
The numbers 6 or odd are 3, 5, and 6.
3 numbers out of a total of 4 numbers.
3/4 = 0.75
Convert to percentage.
0.75 × 100 = 75
P(6 or odd) = 75%
Find the radius of the cylinder when volume is 304 cm^3 and height is 10 cm
Answer:
3.11 cmsolution,
Volume of cylinder=304 cm^3
height=10 cm
Radius=?
Now,
[tex]volume = \pi {r}^{2} h \\ or \: 304 = 3.14 \times {r}^{2} \times 10 \\ or \: 304 = 31.4 \times {r}^{2} \\ or \: {r}^{2} = \frac{304}{31.4} \\ or \: {r}^{2} = 9.68 \\ or \: r = \sqrt{9.68} \\ or \: r = \sqrt{ {(3.11)}^{2} } \\ r = 3.11 \: cm[/tex]
Hope this helps..
Good luck on your assignment..
Find the width of a photograph whose length is 8 inches and whose proportions are the same as a photograph that is 18 inches wide by 24 inches long.
Answer:
6 Inches
Step-by-step explanation:
First Photograph
Length:Width = 24:18
Second Photograph
Let the unknown width =x
Length:Width = 8:x
Since the proportions of the two photographs are the same
[tex]8:x=24:18\\\\\dfrac{8}{x}= \dfrac{24}{18}\\\\24x=8 \times 18\\\\x=(8 \times 18) \div 24\\\\x=6$ inches[/tex]
The width of the photograph is 6 inches.