in the equation, y = 0.007x, how many inches of rain falls in 6 minutes?
​

With a mean of 82 and a standard deviation of 5, the random variable x has a normal distribution. The stated probability is roughly 0.3446, or 34.46%.

To find the probability P(x < 80) for a normally distributed random variable with mean μ = 82 and standard deviation σ = 5, we need to calculate the area under the normal curve to the left of the value x = 80.

We can standardize the variable x using the formula z = (x - μ) / σ, where z is the standard score. In this case, x = 80, μ = 82, and σ = 5, so we have:

z = (80 - 82) / 5 = -2 / 5 = -0.4

Now, we need to find the cumulative probability associated with the z-score -0.4. This represents the probability of obtaining a value less than x = 80.

We may determine the associated cumulative probability using a calculator or a basic normal distribution table.

According to a conventional normal distribution table, the cumulative probability for -0.4 is around 0.3446.

Therefore, P(x < 80) ≈ 0.3446.

So, the indicated probability is approximately 0.3446 or 34.46%.

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Answer:

B

Step-by-step explanation:

2x+x=180

3x=180

x=60

2x=120

so B

hope that helps if it does please mark mine as brainliest.

Answer:

The answer would be B

Step-by-step explanation:

Hope this helps

Answer:

Her age is 15.

Step-by-step explanation:

13 + 14 + 15 = 42

Julia is the oldest and 15 is the greatest of the 3 numbers

therefore Julia is 15

The argument used by the team member was that a single line is used to differentiate the space into two. This is will make the presentation more attractive. Even if there are higher-dimensional data the lines will generalize into planes and hyperplanes. So according to the team member, it would be better to use Logistic Regression.

When we use the classification tree presentation the data will be mixed up and will clash against each other. So using the Logistic Regression will be better as this divides the data set into two separate parts. So, if the data are not linearly separable then only we should use the Classification Method.

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Answer:

Z

y

x

Step-by-step explanation:

zy

xz

xy

Answer:

Yes, Since pH = 0.8 > pS = 0.64

So, on average, more Happy Airlines flights were on time than Speedy Airlines Flights

Step-by-step explanation:

Since for Speedy Airlines, 64 out of a hundred were on time, the proportion is,

\(pS = 64/100 = 16/25=0.64\\pS=0.64\)

And for Happy Airlines, 80 out of 100 were on time, so,

\(pH = 80/100=4/5\\pH=0.8\)

since pH is greater than pS, so we conclude that there is evidence of a difference in the on-time rate for the two airlines

That is, Happy Airlines flights were on time 80% of the time and Speedy Airlines flights were on time 64% of the time

Answer:

D

Step-by-step explanation:

Answer:

A. 1/2 inch:10 miles

Step-by-step explanation:

1/2*4.5=2 1/4

10*4.5=45

Answer:

abcd123450000???

Step-by-step explanation:

Answer:

(x ÷ 2) + 7

Step-by-step explanation:

A quotient is the answer to a division problem...

So.... Let's say "a number" is x

(x ÷ 2) + 7 = Seven more than the quotient of a number and 2

That should be the answer!

The equivalent operation is: b = (a < 5) ? 12 : (d = 30);

The original if/else statement is:

if (a < 5)

   b = 12;

else

   d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.

The equivalent operation using the conditional (ternary) operator is:

b = (a < 5) ? 12 : d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.

If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.

The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.

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According to the above, the point s coincides with number -5, the point t coincides with number -8.24 and the point u coincides with number 6.28.

To identify the points that coincide with the expressions we must perform the mathematical operations shown. In this case, we must find the roots and multiply the 2 by the number pi as shown in the expressions column.

An important point is that we must do these operations in the positive form and then put the negative symbol because it is not possible to find the root of a negative number.

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The probability of producing at most two defective parts in a production run of 25 parts with 98% accuracy is d. 0.9367

The probability of producing at most two defective parts in a production run of 25 parts with 98% accuracy is calculated using the binomial probability formula.

Binomial Probability Formula: P(x) = nCx * p^x * q^(n - x)

Where:

n = Number of trials (25)

x = Number of successes (2)

p = Probability of success (0.98)

q = Probability of failure (1 - p = 0.02)

Therefore, the probability of producing at most two defective parts in a production run of 25 parts with 98% accuracy is:

P(x) = 25C2 * 0.98^2 * 0.02^(25 - 2)

P(x) = 0.9367

d. 0.9367

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Tο depict the relatiοnship between twο numerical variables using Data visualizatiοn that is knοwn as a scatterplοt.

Using this scatterplοt, we graphed a line using linear regressiοn. This line can use as οur reference pοint and ignοre the rest οf the pοints οn the graph.

We will examine this graph and try tο find apprοximately what value οf y is given when we prοvide an x value.

Since the number οf hits is the x value, tο find hοw high the graph gοes at that x value we can lοοk at the graph tοο.

Right between 100 and 150 is 125, sο we can nοw start there and mοve up.

When we mοve up, we get a line that's between 10 and 20. We can alsο view it's in the tοp half οf that bοx. That means the value οf y fοr this will be mοre than 15.

Since it's nοt lying directly οn 20, we have the οnly οptiοn left is 18.

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why is 20/2 bigger than 25/15​?

because 20/10 = 2

and 25/15 = 5/3 or 1.66

2 is bigger than 1.66

Answer:

A transformation of (0,4), in order words, adding 4 to all your y-values.

Step-by-step explanation:

If you were to plot f(x) and g(x), you'd notice that all the y-values have been moved up by 4. To prove this to yourself, lets take the y-intercept.

Let x = 0, then g(0) = 2 and f(0) = -2, as you can see the y-value of the intersect has been shifted upwards by 4. Therefore, it can be said that f(x) has been shifted by (0,4), so f(x) +4 = g(x).

Okay, here we have this:

Considering the provided system of equations, we are going to graph the system, so we obtain the following:

Graphing the system we have:

We can see that the two functions do not intersect at any time, therefore the system of equations has no solution in the set of real numbers.

Answer:

Step-by-step explanation:

formula 0.5 x base x height

Answer:

Remember the formula a^2+b^2=c^2

Step-by-step explanation:

This can be used on right triangles. Now your a and b represent the legs of a triangle and the c represents the hypotenuse(the longest side). If you had a leg that was 2 inches and a second leg that was 4 inches you would plug it into the equation so...

2^2+4^2=c^2

Now evaluate

2^2=4

4^4=16

so

4+16=c

20=c

Now take the square root of 20 which is approximately 4.47 or leave it as square root of 20

If you had one leg and a hypotenuse then plug in and solve like any other equation.

Hope this helps!

For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Answer:

A. 1151256265353218625

Answer:

A

Step-by-step explanation:

4x - 1x = 3x

3 + 2 = 5

therefore your expression would be,

3x + 5

Answer:

A

Step-by-step explanation:

If you combine like terms on all of them, you get

A 3x+5

B 4x+5

C 3x+3

D 4x+5

hope this helps!

Both functions F(x) and G(x) represent a parabola

G(x) = x²

A parabolic function is always of the form:

The point (h, k) is the vertex of the graph F(x)

From the graph shown, h = 4, k = -3

Since the graph does not intersect the x and y axes and it is facing downwards, the amplitude a = -1

Substituting a = -1, h = 4, and k = -3 into the given equation

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

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Answer: Step 3

Step-by-step explanation: this is the right answer on the edge, hope this helps!

The space C1(S1) is a Banach space, which means it is a complete normed vector space, equipped with the norm ||f|| = sup{|f(θ)| + |f'(θ)| : θ ∈ S1}.

The space C1(S1) is the space of continuously differentiable real-valued functions defined on the unit circle S1, which is a subset of the complex plane given by the equation |z| = 1, where z is a complex number.

Specifically, a function f: S1→R belongs to C1(S1) if it has a continuous first derivative f': S1→R that also belongs to C(S1), the space of continuous real-valued functions defined on S1.

Formally, we can define the space C1(S1) as follows:

C1(S1) = {f: S1→R | f is continuously differentiable on S1 and f' belongs to C(S1)}

Here, f' denotes the first derivative of f, which is defined as the limit:

f'(θ) = lim [f (θ + h) - f(θ)]/h

h→0

for all θ in S1

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The proprtions are  25/10 = 5/2 and 3/4 = 15/20

Proportion is an equation that defines that the two given ratios are equivalent to each other e.g. 1/3 = 3/9

25/10 and 5/2  are proportions:

25/10 = (5×5)/(5×2)      (Divide both the numerator and denominator by 5)

25/10 = 5/2

3/4/10 and 15/20  are proportions:

3/4 = (3×5)/(5×4)      (Multiply both the numerator and denominator by 5)

3/4 = 15/20

Therefore, 25/10 = 5/2 and 3/4 = 15/20 are proprtions

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Answer:

5 5/9

Step-by-step explanation:

Answer:

500*2%=10

500+10=510

Step-by-step explanation: