Find the number of distinguishable permutations of the letters in MISSISSIPPI.

Answer:

C. Pages per hour.

Best of luck for the exam tho :)

SInce people are getting mad, I'm making this edit to say,

\(\frac{pages}{hour}\) × the number of hours = pages, which is the answer.

It is provided in the table that the units are pages and time in hours.

Now please chill.

Answer:

75 pages per hour

Step-by-step explanation:

Unit rate = Total pages ÷ Time taken

                =  300 ÷ 4

               = 75 pages per hour

Step-by-step explanation:

The product of slope of 2 straight lines perpandicular each other is -1.

Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So

\(6m = - 1\)

\(m = - \frac{1}{6} \)

Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.

\(y = mx + c\)

\( - 3 = 6( - \frac{1}{6} ) + c\)

\(c = - 2\)

Therefore, the equation of the perpandicular line is

\(y = - \frac{1}{6} x - 2\)

Answer:

18

Step-by-step explanation:

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The shoe store should survey approximately 600 customers to be 95% confident that the estimated proportion of male customers is within 4 percentage points of the true population proportion.

To determine the sample size required to estimate the current percentage of male customers with a 95% confidence level and a 4-percentage-point margin of error, we need to consider the following information.

Since the desired margin of error is 4 percentage points, the range of the estimated proportion of male customers will be 4% (2% on each side of the estimated proportion).

To calculate the sample size, we need to use a formula for estimating sample size for proportions. The formula is given by:

n = (Z^2 * p * (1 - p)) / E^2,

where:

- n is the sample size required,

- Z is the z-score corresponding to the desired confidence level (95% corresponds to a z-score of approximately 1.96),

- p is the estimated proportion of male customers,

- E is the desired margin of error.

Since we don't know the actual proportion of male customers, we can conservatively assume a proportion of 0.5, which provides the maximum sample size required. Substituting the values into the formula, we have:

n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.04^2,

n ≈ 600.

In summary, to achieve a 95% confidence level and a 4-percentage-point margin of error, the shoe store should survey approximately 600 customers. This sample size is determined using a formula for estimating proportions, assuming a conservative proportion of 0.5.

The larger the sample size, the more reliable the estimate will be, but it also comes with increased costs and time. By surveying 600 customers, the shoe store can obtain a reasonable estimate of the current percentage of male customers while maintaining a desired level of confidence and precision in the estimate.

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Answer:

16 cups of water

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Answer:

-2

Step-by-step explanation:

Anything behind the 0 is negative. Anything in front of the 0 is positive.

-2.  Notice 10 spaces with a value of 10.  This means increments of 1.

Count backwards 1 from 0 twice to get to that arrow.

Numbers left of 0 are negative.

-2

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped??  :))))    )

Peace and love

Peace

Answer:

- 2 is the answer:)

Step-by-step explanation:

Wherever the line crosses on the y thats the answer

Answer:

11 * 11 * 11

Step-by-step explanation:

11^3 is the same thing as 11*11*11

Answer:

\(11^{3}\) x 1

Step-by-step explanation:

Any number multiplied by 1 gives you the same number.

Answer:

Step-by-step explanation:

.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores

Answer:

To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.

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

The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.

The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.

The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.

So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.

If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.

Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.

Answer:

6 - (-8)

is 6 + 8

Step-by-step explanation:

When selecting 2 letters from the set {A, B, C, D}, considering that the order matters, we can use the concept of permutations to calculate the number of possible arrangements.

The number of ways to arrange 2 letters from a set of 4 can be calculated using the formula for permutations:

P(n, r) = n! / (n - r)!

Where n is the total number of items (in this case, 4) and r is the number of items being selected (in this case, 2).

Using this formula, the number of ways to arrange 2 letters from A, B, C, D is:

P(4, 2) = 4! / (4 - 2)!

= 4! / 2!

= (4 x 3 x 2 x 1) / (2 x 1)

= 24 / 2

= 12

Therefore, there are 12 possible ways to arrange 2 letters selected from A, B, C, D when considering that the order matters.

~~~Harsha~~~

Answer:

Step-by-step explanation:

When selecting 2 letters from the set {A, B, C, D} and considering that the order matters, we can determine the number of possible arrangements using the concept of permutations.

The number of ways to arrange 2 letters from a set of 4 can be calculated using the formula for permutations:

P(n, r) = n! / (n - r)!

where P(n, r) represents the number of permutations of r objects chosen from a set of n objects.

In this case, we have n = 4 (the total number of letters) and r = 2 (the number of letters to be selected).

Using the formula, we can calculate:

P(4, 2) = 4! / (4 - 2)!

       = 4! / 2!

       = (4 × 3 × 2 × 1) / (2 × 1)

       = 24 / 2

       = 12

Therefore, there are 12 different ways to arrange 2 letters chosen from the set {A, B, C, D} when the order matters.

the final result of the double integral is `(4/3)*a. we have to Integrate the inner integral with respect to z.

what is inner integral ?

An inner integral is a mathematical term that refers to the integral function that is evaluated first in a double integral.

In the given question,

To solve this double integral, we will use the following steps:

Integrate the inner integral with respect to z.

Evaluate the result of the inner integral at  upper and lower limits of z.

Substitute the result of the inner integral into the outer integral and integrate with respect to y.

Evaluate the result of the outer integral at the upper and lower limits of y.

Simplify the expression.

Now, let's apply these steps to solve the given double integral:

Integrate the inner integral with respect to z:

∫(x²*z + y²*z + z³) dz = x²/2*z² + y²/2*z² + z^4/4 + C

where C is the constant of integration.

Evaluate the result of the inner integral at the upper and lower limits of z:

(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)

Substitute the result of the inner integral into the outer integral and integrate with respect to y:

markdown

∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

Evaluate the result of the outer integral at the upper and lower limits of y:

= ∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

from y = -sqrt(a²-x²) to y = sqrt(a²-x²)

= (2/3)*x²*(a²-x²)¹⁵ + (2/3)*(a²-x²)²⁵

- (2/3)*x²*(-a²+x²)¹⁵ + (2/3)*(-a²+x²)²⁵

Simplify the expression:

= (4/3)*a³ - (4/3)*a*x²

Therefore, the final result of the double integral is `(4/3)*a

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.

8x² + 16x + 3 = 0

8x² + 16x = -3

8(x² + 2x) = -3

8(x² + 2x + 1) = -3 + 8

8(x² + 1) = 5

(x² + 1) = 5/8

(x + 1) = ± √5/8

x = -1 ± √5/8

Therefore,

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

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Answer:

H0 : μ = 4.50

H1 : μ > 4.50

Test statistic = 1.525

we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.

Step-by-step explanation:

H0 : μ = 4.50

H1 : μ > 4.50

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(4.94 - 4.50) ÷ 2.10/ sqrt(53)

0.44 / 2.10/ sqrt(53)

= 1.525

α = 1 - 98% = 0.02

Decision region :

Reject H0 ; if Pvalue < α

Pvalue = p(Z < 1.525) = 0.936

Pvalue = 0.936

Since Pvalue > α ; We fail to reject H0

Hence, we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.

                      ➢◇✳︎✧✥---------------------------------------------✥✧✳︎◇⤎

\(Hello\) \(There!\)

   We need to find the slope of the line that's parallel to 6x+5y=-5.

It's not hard, I promise! I'm going to take you through a few steps, and we'll find the answer.

Are you ready? Let's start. :)

\(Procedure:\)

➢ First, subtract 6x from both sides:

5y=-5-6x

✦ Switch the order of the terms:

5y=-6x-5

➢ Now, divide both sides by 5:

y=-6/5x-5/5

✦ Which is the same as

\(\bold{y=-\displaystyle\frac{6}{5} x-1}\)

➢ Part of the problem's already solved! :)

  Now, parallel lines have the same slope.

✦So the slope of the line parallel to 6x+5y=-5 is also:

◉ \(\bold{-\displaystyle\frac{6}{5}}\) ☑︎

Problem solved! :)

\(Greetings !\)

     ◆     •     ❖ _____________________________________❖   •. ◆

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

\(d = 17\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (2, 8)

Point (17, 0)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Answer;

-2

Step-by-step explanation;

Well take the last numbers in these points and subtract them

4 - (-8)

4+8

12

You've got the upper part of the slope fraction now subtract the first two numbers.

-4-2

-6

Put this fun together, 12/-6 = -2

hence, slope=-2 .

Answer:

Step-by-step explanation:

-2

the answer would be 0.56

Answer:

a: 0.0016

Step-by-step explanation:

Got it right on the test.

Hope this helps :)

Answer:

mean is 5

median is (5+5)/2 = 5

Step-by-step explanation:

Answer:

median is 5

mean is 5

Step-by-step explanation:

The complex value fraction is simplified and A = ( x² - 9 ) / ( 3x² ) ( 15x - 3x² )( x - 12 ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x )

Given data ,

Let the fraction be represented as A

Now , the value of A is

The last denominator of the fraction is

x² / 15x - 1/3x²

On simplifying , we get

( 3x⁴ - 15x ) / ( 15x - 3x² ) , and this fraction is multiplied by the fraction above which is x/( x/3-4 )

So , the above fraction is 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² ) ) / ( x - 12 )

Now , taking the LCM of the denominator of the fraction , we get

( 2/15x ) - 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² )( x - 12 ) , we get

( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² )( x - 12 )

And , the numerator of the fraction is ( 1/3 ) - ( 3/x² )

On taking the LCM on the numerator , we get

( x² - 9 ) / ( 3x² ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x ) / ( 15x - 3x² )( x - 12 )

The denominator will get multiplied by the reciprocal of the fraction and ,

A = ( x² - 9 ) / ( 3x² ) ( 15x - 3x² )( x - 12 ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x )

Hence , the fraction is A = ( x² - 9 ) / ( 3x² ) ( 15x - 3x² )( x - 12 ) / ( 2/15x ) ( 15x - 3x² )( x - 12 ) - 3x ( ( 3x⁴ - 15x )

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Step-by-step explanation:

I am not sure but i think is this

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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