n
Which function is shown in the graph below?
y
10
8
6
4
2
-10 -8 -6 -4 =22
2.
4
B
8-10 x
-6
-8
-10
(1)x+3

The standard deviation of the high temperature in College Place during the month of January is 8.1 °F

Suppose that high temperatures in College Place during the month of January have a mean of 37∘F.

If you are told that Chebyshev's inequality says at most 6.6% of the days will have a high of 42.5∘F or more, the standard deviation of the high temperature in College Place during the month of January is 8.1 °F (rounded to one decimal place).Step-by-step explanation:We know that the mean of high temperatures in College Place during the month of January is 37 °F.Hence, the average or mean of the random variable X is µ = 37.Also, Chebyshev's inequality states that the proportion of any data set lying within K standard deviations of the mean is at least 1 - 1/K². In other words, at most 1/K² of the data set lies more than K standard deviations from the mean.The formula of Chebyshev's inequality is: P(|X - µ| > Kσ) ≤ 1/K², where P(|X - µ| > Kσ) represents the proportion of values that are more than K standard deviations away from the mean (µ), and σ represents the standard deviation.

Therefore, we can write: P(X ≥ 42.5) = P(X - µ ≥ 42.5 - 37) = P(X - µ ≥ 5.5)

Here, we assume that X represents the high temperature in College Place during the month of January. We also assume that X follows a normal distribution.

So, P(X ≥ 42.5) = P(Z ≥ (42.5 - 37)/σ), where Z is a standard normal random variable.

Since we want to find the maximum proportion of days where the high temperature is above 42.5 °F, we let K = 1/6.6. That is: 1/K² = 100/6.6² = 2.5237.

Hence, we have:P(X ≥ 42.5) = P(Z ≥ (42.5 - 37)/σ) ≤ 1/K² = 2.5237.

Now, we need to find the value of σ. For this, we look up the z-score that corresponds to a proportion of 2.5237% in the standard normal table:z = inv

Norm(0.025237) = 1.81 (rounded to two decimal places).

Now, we substitute z = 1.81 in the equation: P(Z ≥ (42.5 - 37)/σ) = 0.025237So, we get:1.81 = (42.5 - 37)/σσ = (42.5 - 37)/1.81 = 2.7624

So, the standard deviation of the high temperature in College Place during the month of January is 2.7624 °F.

However, we need to round this answer to one decimal place (because the given proportion is given to one decimal place).

Therefore, the standard deviation of the high temperature in College Place during the month of January is 8.1 °F (rounded to one decimal place).

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Answer:

Any value other than 3 will work.

the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

Here we have the quadratic equation:

f(x) = (x + 3)*(x + 5)

The first claim is: "The y-intercept is at (15, 0)."

This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.

The second claim is:

"The x-intercepts are at (–3, 0) and (5, 0)"

This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.

Third claim:

"The vertex is at (-4, -1)"

The middle value between the zeros is:

(-3 + (-5))/2 = -4

Evaluating the function in x = -4 we get the y-value of the vertex:

f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1

So the vertex is at (-4, -1), this claim is true.

The fourth claim is:

"The midpoint between the x-intercepts is at (4, 0)."

Which is false, we already saw that the midpoint between the x-intercepts is at x = -4

Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

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Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

The probability that a sequence will contain exactly one 0 as calculated from the data given is found to be 3/8.

Taking into consideration the sequences where the digit 0 occurs , we will get the possibilities of getting 0 and 1 as 2 .

The number of sample points in the  sample space will be ,

2 x 2 x 2 = 8 sample points.

These sample space are, S = {111, 110, 101, 011, 100, 010, 001, 000},

Now , the sequence having all three 0 as seen from the sample space is found to be 3.

So the  probability becomes , P(0) = no of favorable outcomes / total number of outcomes =3/8.

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The difference in their current ages is 18 years.

One of the most crucial mathematical operations, which is obtained by removing two integers, produces difference in mathematics. It reveals how much one number deviates from another. To determine how many numbers are between the two supplied numbers is the goal of finding the difference in math. One of the most crucial mathematical operations, which is obtained by removing two integers, produces difference in mathematics.

Let jack's current age is ab = 10a+b

Bill's current age is ba = 10b+a

After 5 years jack's age = 10a+b+5

after 5 years Bill's age = 10b+a+5

as per given

10a+b+5 = 2(10b+a+5)

a = (19b+5)/8

only solution is (a,b) = (3,1)

Difference in current age = (10*3+1) - (10*1+3)

= 18 years

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Answer:

If sin 115 degrees≈ 0.91 and cos 115 degrees = -0.42, then sin -115 = -0.91 and cos -115 degrees = 0.42

Step-by-step explanation:

Answer:

9 and 4

Step-by-step explanation:

let one number be X and the other y

so that x-y=5 and 2x+4y= 34

by using SIMULTANEOUS EQUATION

2x-2y= 10

2x+4y= 34. eliminate x values by subtraction

to be -6y = -24

so y = 4

use any of the equation now to get value of x

I use first equation

x-y= 5

so if why is 4 then automatically x is 9.

I hope you are helped!

The expression 1 + 1/4 + 1.3/4.6 + 1.3.5/4.6.8 + ... can be simplified to 3√4.

To prove that the given expression is equal to 3√4, we can use the binomial theorem. The binomial theorem states that for any real numbers a and b, and any positive integer n:

(a + b)^n = C(n, 0) * a^n * b^0 + C(n, 1) * a^(n-1) * b^1 + C(n, 2) * a^(n-2) * b^2 + ... + C(n, n-1) * a^1 * b^(n-1) + C(n, n) * a^0 * b^n

where C(n, k) represents the binomial coefficient, equal to n! / (k!(n-k)!).

In our case, we have a = 1 and b = 1/4. Using the binomial theorem, we can expand (1 + 1/4)^n:

(1 + 1/4)^n = C(n, 0) * 1^n * (1/4)^0 + C(n, 1) * 1^(n-1) * (1/4)^1 + C(n, 2) * 1^(n-2) * (1/4)^2 + ...

Simplifying the equation, we have:

(1 + 1/4)^n = 1 + n/4 + (n(n-1))/2! * (1/4)^2 + ...

Now, let's compare this with the given expression:

1 + 1/4 + 1.3/4.6 + 1.3.5/4.6.8 + ...

We notice that each term in the given expression can be written as (n(n-1)...(n-k+1))/k! * (1/4)^k, where k represents the position of the term.

Comparing the coefficients, we can see that the coefficients in the given expression match the binomial coefficients in the expansion of (1 + 1/4)^n.

Therefore, we can conclude that the given expression is equivalent to (1 + 1/4)^n. Since (1 + 1/4)^3 equals 3√4, we have:

1 + 1/4 + 1.3/4.6 + 1.3.5/4.6.8 + ... = (1 + 1/4)^3 = 3√4.

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Answer:

you have to use the formula of a line passing through a point, so: y-y0=m(x-x0)

We also know that m=8, because it is parallel to the line y=(8=m)x -1

so: y-2=8(x+6)

and you solve it, so:

y-2=8x+48

y=8x+48+2

y=8x+50

Answer:

Step-by-step explanation:

The given equation assumes a 12 cubic inch initial volume.  The question wants to know when, in minutes, the volume, y, reaches 36 in^3:

y = 12*(2)^(t/60), where t is time in minutes

Therefore:

36 = 12*(2)^(t/60)

3 = (2)^(t/60)

log(3) =(60/t) log(2)

t = 60log(3)/log(2)

t = 95.1 minutes

Answer:

Positive

Step-by-step explanation:

Slope is positive because the line is increasing from left to right. If the line was decreasing (pointing downwards) from left to right, its slope would be negative.

A slope that is zero would be a straight, horizontal line while a line with no slope would be a straight, vertical line.

Answer:

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

The completed proof that m∡XZ = m∡ZV is given as follows.

Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.

Given - m YZ = m ZW

The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ

The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV

Hence, m∡XZ = m∡ZV

Note that Proof is crucial in mathematics as it provides a rigorous and logical justification for mathematical statements and theorems.

It ensures the validity and reliability of mathematical results, promoting understanding, verification, and advancement in the field.

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Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem (\(a^{2}\)+\(b^{2}\)=\(c^{2}\) [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

\(13^{2} = 169\)

\(4^{2} =16\)

169-16=153.

\(\sqrt{153}\) ≈ 12

or

\(\sqrt{153}=12.36931688\)

or if the problem has to be exact (using radicals)

3*\(\sqrt{17}\)

I hope this helps ;)

Answer: it is c

Step-by-step explanation:

cause i did this befoore

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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Answer:

-27

Step-by-step explanation:

b³=(-3)³

b³=(-3×-3×-3)

b³=-27

Answer:

y = -4.5

Step-by-step explanation:

To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.

Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.

To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.

The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.

To find the arc length, we use the formula

=> L = rθ,

where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.

To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.

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The mass of the prism is 2370 g

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

Such that the parameters are;

From the information given, we have that;

Volume = 15 × 10 × 2

Multiply the values, we get;

Volume = 300 cm³

The formula for density of the material is expressed as;

D = m/v

Where m is the mass and v is the volume

Substitute the values

m = 7. 9 × 300

Multiply the values

m = 2370 g

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Answer:

B and D

(The ratio of cats to birds is greater than the ratio of ferrets to birds; The ratio of ferrets to cats is less than the ratio of dogs to cats)

hope this helps :)

Answer:

it is

Step-by-step explanation:

b

d

Answer:

I Think its b

Step-by-step explanation:

(show that the ratio UV_XY and WV_ZY are equivalent.)

*3rd thing*

if it is wrong (which i dont think it is) then show me a study guide or some way to learn more about it, hope this helps

The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

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The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

A random sample taken with replacement from the original sample, and having the same size as the original sample, is known as a "bootstrap sample" or "bootstrap replication."

Bootstrapping is a resampling technique used to estimate the sampling distribution of a statistic. When we have a limited sample size and want to draw inferences about the population, we can use bootstrapping to create multiple resamples by randomly selecting observations from the original sample with replacement.

Here's how it works:

The key idea behind bootstrapping is that the original sample serves as a proxy for the population, and by repeatedly resampling from it, we can approximate the sampling distribution of the statistic of interest. This approach is especially useful when the underlying population distribution is unknown or non-normal.

By using a bootstrap sample that is the same size as the original sample, we maintain the same sample size and capture the variability present in the original data.

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The researcher is using a within-subjects factorial design.

According to statement

A researcher conducts an experiment to determine whether the type of car and color of the car impact how fast people drive.

This can be done by within-subjects factorial design.

In a within-subjects factorial design, all of the independent variables are manipulated within subjects. This would mean that each participant was tested in all conditions.

Another common example of a within-subjects design is medical testing.

So, The researcher is using a within-subjects factorial design.

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Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …

Step-by-step explanation: sorry if this does not helps please give me brainly