Pls somone help pls

Mr. Judge wants to solve the inequality -7x + 4x – 17 ≥ -8. He says the answer is x ≥ -3. Is his answer correct? Prove your answer with work shown.

Okay, here we have this:

Considering the provided information, we are going to calculate the requested probability, so we obtain the following:

Probability of an event = Favorable Events / Possible Events

Probability that it is in the third box given that it is defective = Defectives in the third box / Total defectives

Probability that it is in the third box given that it is defective = 8/ 24

Probability that it is in the third box given that it is defective = 2/6

Probability that it is in the third box given that it is defective ≈ 0.33

Probability that it is in the third box given that it is defective ≈ 33%

Based on the analysis of the given functions and the given differential equation, the following conclusions can be drawn:

The function y(t) = t + 1 + 2e^t is a solution to the differential equation dy/dt = y - t.

The function y(t) = t + 1 is also a solution to the differential equation dy/dt = y - t.

The function y(t) = t + 2 is not a solution to the differential equation dy/dt = y - t.

Step-by-Step Explanation:

To determine if a given function is a solution to a differential equation, we need to perform the following steps:

Find the derivative of the given function with respect to t. This gives us the value of dy/dt.

Substitute the given function and the value of dy/dt into the differential equation and simplify the expression.

Check if the simplified expression is equal to the value of dy/dt. If they are equal, then the given function is a solution to the differential equation.

Applying this process to the three given functions, we obtain the following:

For y(t) = t + 1 + 2e^t:

Step 1: Find the derivative of y(t) with respect to t:

dy/dt = 1 + 2e^t

Step 2: Plug the function y(t) into the given equation and compare it to the found dy/dt:

y - t = (t + 1 + 2e^t) - t = 1 + 2e^t

Since dy/dt = y - t, y(t) = t + 1 + 2e^t is a solution to the differential equation.

For y(t) = t + 1:

Step 1: Find the derivative of y(t) with respect to t:

dy/dt = 1

Step 2: Plug the function y(t) into the given equation and compare it to the found dy/dt:

y - t = (t + 1) - t = 1

Since dy/dt = y - t, y(t) = t + 1 is also a solution to the differential equation.

For y(t) = t + 2:

Step 1: Find the derivative of y(t) with respect to t:

dy/dt = 1

Step 2: Plug the function y(t) into the given equation and compare it to the found dy/dt:

y - t = (t + 2) - t = 2

In this case, dy/dt ≠ y - t, so y(t) = t + 2 is not a solution to the differential equation.

Therefore, we can conclude that the first two functions are solutions to the given differential equation, while the third function is not.

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the probability that at least flights are on time is

P(7) + P(8) + P(9) + P(10)

To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.

Let's assume we have the following information:

Probability of a flight being on time: p = 0.8 (80%)

Number of flights: n = 10

To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.

Let's say we want to find the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)

where C(n, x) represents the number of combinations of n items taken x at a time.

Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)

Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Performing the calculations will give us the specific probabilities and the final probability.

Complete Question :- According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 24 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly 14 flights are on time.

​(c) Find and interpret the probability that fewer than 14 flights are on time.

​(d) Find and interpret the probability that at least 14 flights are on time.

​(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.

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Answer:

x = 54°

Step-by-step explanation:

90° = 2x-18°

90° + 18° = 2x

108° = 2x

x = 54°

Answer:

x = 54

Step-by-step explanation:

The two angles added together equal 90 degrees because they are  complementary angles.

x - 18 + x = 90

Combine like terms

2x - 18 = 90

add 18 to both sides

2x = 108

Divide each side by 2

x = 54

Fill in for x

54 - 18 + 54 = 90

36 + 54 = 90

90 = 90

This proves that the answer is true.

Answer:

Arithmetic

Step-by-step explanation:

Given sequence

We can observe it is increasing sequence

The rate of increase is linear and equal to 17

Therefore it is an arithmetic progression

-64,-47,-30,-13 is arithmetic .

\( \huge \red {explanation}\)

this is arithmetic progression because ;

Answer:

12340milliters

Step-by-step explanation:

is the right answer

Answer:

12.34 liters  = 12340 milliliters

Step-by-step explanation:

Answer:

13 bottles of apple juice and 2 bottles of orange juice.

i think :))

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

Answer:

this is incorrect. 42% of 78 is actually 32.76

Step-by-step explanation:

Whole numbers less than 5 may be termed as Rational numbers.

P(54 < X1 + X2 + X3 < 72) is approximately 0.8972.

-The sum of independent normal random variables is also a normal random variable. Therefore, X1 + X2 + X3 is also a normal random variable with mean

E(X1 + X2 + X3) = E(X1) + E(X2) + E(X3) = 10 + 20 + 30 = 60 and variance Var(X1 + X2 + X3) = Var(X1) + Var(X2) + Var(X3) = 12.

So, X1 + X2 + X3 ~ N(60, 12).

-To find P(54 < X1 + X2 + X3 < 72), we standardize the random variable as follows:

\(Z = \frac{(X1 + X2 + X3 - 60)}{\sqrt{12} }\)

-Then, we need to find \(p(\frac{(54-60)}{\sqrt{120} } < Z < \frac{(72-60)}{\sqrt{12} }\).

Simplifying, we get P(-1.73 < Z < 1.73).

Using a standard normal table or calculator, we can find that this probability is approximately 0.8972.

Therefore, P(54 < X1 + X2 + X3 < 72) is approximately 0.8972.

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Principal will be $1000

Given values

Simple interest, SI= $800

Interest rate, R=8%

Time, T=10 months

Principle, P= Y

As we know;

\(Simple Interest, SI=P×R×T\)

By substituting the values, we get

$800= Y ×8% ×10

$800=0.8Y

$800÷0.8= Y

$1000=Y

Thus the above response is correct.  

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Each sample has its own sample mean, and the distribution of sample means is called the sampling distribution. The average weight calculated for each sample set is the average sampling distribution.

The sample mean of sampling distribution, μₓ is 13.6..

We have given that

Sample : number of credits obtained by students

Sample size, n = 45

Sample standard deviations, σ = 2.1

population mean , μ = 13.6

we have to determine the sample mean of collected credits registered by them in this semester.

As we know , For samples of any size taken from a normally distributed population, then the sample mean is normally distributed, with mean μₓ = μ and standard deviation σₓ = σ/√n, where n is the sample size.

so, sample mean μₓ = μ= 13.6

and σ ₓ= σ /√n = 2.1/√45 = 0.372

So, Sample mean of Sampling distribution is 13.6 ..

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Product is multiplication.

The opposite of 4 is -4

3 x -4 = -12

Answer: -12

Answer:

C: 1/2

Step-by-step explanation:

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: C. \cfrac{1}{2}\)

____________________________________

\( \large \tt Solution \: : \)

\( \textsf{Slope of line - } \)

\(\qquad \tt \rightarrow \: m = \cfrac{rise}{run} \)

\(\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 4)}{8 - 0} \)

\(\qquad \tt \rightarrow \: m = \cfrac{ 4}{8 } \)

\(\qquad \tt \rightarrow \: m = \cfrac{ 1}{2} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

Hi there user! I'll help you!

96 should be the correct answer!

Step-by-step explanation:

4 x 3 = 12

4 x 7 = 28

5 x 7 = 35

3 x 7 = 21

12 + 28 + 35 + 21 = 96

Answer:

Emily has about 73 beads and Martha has about 62

Step-by-step explanation:

E = M · 1.2

M + ( .25 · E ) = m

m = 80

Now work backwards to find the answer.

Note that to find the answer you must get rid of the variable E, so you must use the expression M · 1.2 to represent E.

M + ( .25 · M · 1.2 ) = 80

M + .3M = 80

1.3M = 80

Divide both sides by 1.3

M = 61.5

Round to the nearest one

M = 62

Now use this to find E

E = 62 · 1.2

E = 74.4

Round to nearest one

E = 73

This might be confusing but I hope it was helpful!

Also, can I get brainliest because this took a lot of work to figure out.

Answer:

b = 9

Step-by-step explanation:

3(b − 6) = 9

3b - 18 = 9

3b = 9 + 18

3b = 27

b = 9

Answer:

b = 9

Step-by-step explanation:

\(3(b - 6) = 9\)

\(3(b - 6) \div 3 = 9 \div 3\)

\(b - 6 = 9 \div 3\)

\(b - 6 = 3\)

\(b - 6 + 6 = 3 + 6\)

\(b = 3 + 6\)

\(b = 9\)

The required final answer is option a) Incentre

The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".

It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.

The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.

The incentre is always within the triangle and is equidistant from all three sides of the triangle, making

it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.

Thus, required answer is "Incentre".

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Answer:

-20 < 4 - 2x (subtract 4 from both sides)

-24 < -2x (divide each side by -2)

12> x  (when you divide by a negative number, the inequality flips)

x< 12 ( I always put it so x is first)

so the answer is C

Answer:

answer is 100 and you write 5hos

Let

y -----> number of quarters

x ----> number of dimes

we have that

the inequality that represents this situation is

Remember that

1 quarter =$0.25

1 dime=$0.10

so

rewrite the variables

see the attached figure to better understand the problem

Part 4b

The solution of the given inequality is the shaded area above the solid line 0.25q+0.10d=8.50

A solution to this inequality could be the point (50,50)

that means

the number of quarters is 50 and the number of dimes is 50

the ordered pair must satisfy the inequality

Verify

Part 4c

we have that

d=25 dimes

substitute in the inequality and solve for q

so

solve for q

the number of quarters must be greater than or equal to 24

Answer:

1.

Original square side: s

Area = s^2

Modified square:

Length = 1.3s

Width = 0.82s

Area = 1.3s * 0.82s = 1.066s^2

(1.066 - 1)/1 * 100% = 6.6%

The area increases by 6.6%

2.

\( \dfrac{1}{x} + \dfrac{1}{y} = \dfrac{2}{15} \)

\( \dfrac{y}{xy} + \dfrac{x}{xy} = \dfrac{2}{15} \)

\( \dfrac{x + y}{xy} = \dfrac{2}{15} \)

\( x + y = \dfrac{2xy}{15} \)

\( \dfrac{7y + 5xy + 7x}{y + x + 2xy} = \)

\( = \dfrac{7x + 7y + 5xy}{x + y + 2xy} \)

\( = \dfrac{7(x + y) + 5xy}{x + y + 2xy} \)

\( = \dfrac{7(\frac{2xy}{15}) + 5xy}{\dfrac{2xy}{15} + 2xy} \)

\( = \dfrac{15}{15} \times \dfrac{7(\frac{2xy}{15}) + 5xy}{\dfrac{2xy}{15} + 2xy} \)

\( =  \dfrac{14xy + 75xy}{2xy + 30xy} \)

\( =  \dfrac{89xy}{32xy} \)

\( =  \dfrac{89}{32} \)

3.

\( \dfrac{x - 3}{x^3 + 3x} = \dfrac{A}{x} + \dfrac{Bx + C}{x^2 + 3} \)

\( = \dfrac{A(x^2 + 3)}{x(x^2 + 3)} + \dfrac{(Bx + C)x}{(x^2 + 3)x} \)

\( = \dfrac{Ax^2 + 3A}{x(x^2 + 3)} + \dfrac{Bx^2 + Cx}{(x^2 + 3)x} \)

\( = \dfrac{Ax^2 + 3A + Bx^2 + Cx}{x(x^2 + 3)} \)

\( \dfrac{x - 3}{x^3 + 3x} =\dfrac{(A + B)x^2 + Cx + 3A}{x(x^2 + 3)} \)

\( A + B = 0 \)

\( C = 1 \)

\( 3A = -3 \)

\( A = -1 \)

\( -1 + B = 0 \)

\( B = 1 \)

\( A + B + C = -1 + 1 + 1 = 1 \)

In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.

We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.

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The expression that can be express in the form  (ax + b)(ax - b), are x² - 9 and  9x² - 4.

The expression that can be written in the form (ax + b)(ax - b), where a and b are integers can be represented as follows:

Therefore,

The expression should be able to be express in the form as follows:

(ax + b)(ax - b)

x² - 9 = (x - 3)(x + 3)

Therefore,

(x - 3)(x + 3) = x² + 3x - 3x - 9

x² + 3x - 3x - 9  = x² - 9

Therefore,

(x - 3)(x + 3) = x² - 9

9x² - 4 = (3x + 2)(3x - 2)

(3x + 2)(3x - 2) = 9x² - 6x + 6x - 4

9x² - 6x + 6x - 4 = 9x² - 4

Therefore, the expression are x² - 9 and  9x² - 4

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Answer:

Kindly check explanation

Step-by-step explanation:

Organizations like NASA who explore space and planets often have to deal with measurement of very long distances such as the one stated above. The Major challenge with the distance written in the format expressed above is the difficulty to read, state or use in mathematical calculations as it is too explicit. A more effective method is to express this distance in standard format and more suitable long distant units such as miles.

For instance;

880,000,000,000,000,000,000,000 kilometers could be expressed as in standard form as ;

8.8 * 10^23 km

Answer:

62.5 or 63

Step-by-step explanation:

the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)

the trig function that deals with adjacent and hypotenuse lengths is cosine.

cos(x) = adj/hyp

cos(x) = 6/13

x = 62.5

Answer: c=(220)^1/2

^1/2 is the square root

Step-by-step explanation:

c^2=a^2+b^2

c^2=14^2+(24^1/2)^2

c^2=196 +24

c^2=220

c=(220)^1/2

To be greater than a negative number, negative values need to be smaller as they get closer to zero.

The answer would be B) -5, -4.5, -3

Answer:

B

Step-by-step explanation:

This is because you could have a number greater of equal to -5, since b is the only one that has that it makes it true.