Question 6 Assume the experiment is to roll a 6-sided die 4 times. a. The probability that all 4 rolls come up with a 6. b. The probability you get at least one roll that is not a 6 is (4 decimal places) 6 pts (4 decimal places)

Since, f(0)=0, hence the given x-5 is the factor of given function.The slope-intercept form of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given, equation

\(f(x)=2x^3+7x^2-15x\)

putting x=-5 in above equation

\(f(-5)=2*(-5)^3+7*(-5)^2-15*(-5)\\f(-5)=0\)

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Since, f(0)=0, hence the given x-5 is the factor of given function.The slope-intercept form of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept. Recognize a linear function's standard form. Usually, linear functions are written

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

Given, equation:

f(x) = 2x³ + 7x² - 15x

Putting x = -5 in above equation:

f(-5) = 2 * (-5)³ + 7 * (-5)² - 15 * (-5)

f(-5) = 0

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Answer:

9.254

Step-by-step explanation:

Move the decimal three times (how many zeros of 1000 there is)

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Step-by-step explanation:

PART A

a=total amount

c=cans of oil

g=gasoline

a=2.65g+3.45c

PART B

a=2.85(8.4)+3.15(6)

a=23.94+18.90

a=42.84

Hope that helped =)

Answer:

Option D : t = 5s + s/2 is the correct answer.

Step-by-step explanation:

Given that:

t = Combined weight of water and food

s = weight of the snail

Water drank by snail = 5s

Food ate by snail = s/2

Combined weight = Weight of water + Food

t = 5s + s/2

Hence,

Option D : t = 5s + s/2 is the correct answer.

Answer:

Q' would be (5, 6)

Answer:

34 + 35 ariana grande

remember that night? sara kays

why dont we just dance josh turner

without you luke combs

it wasn't me shaggy

be like that kane brown, swae lee, khalid

so done the kid laroi

wrong kid laroi

spicy ty dolla $ign

follow your arrow kacey musgraves

swing trace adkins

must be doin somthin right billy currington

voices chis young

redneck woman gretchen wilson

born to fly sara evns

houston we got a problem luke combs

Step-by-step explanation:

Answer:

All song from ateez(kpop)

Inception

Thanxx

to the beat

one day at a time(all english)

better

my way

wonderland

hala hala

pirate king

illusion

wave

Answer:it is c

Step-by-step explanation:

Recall that the interior angles of a triangle add up to 180 degrees, then:

Now, recall that a right angle measures 90 degrees.

Then we can set the following equation:

Adding like terms we get:

Subtracting 105 degrees from the above equation we get:

Answer:

Answer:

The answer is A

Step-by-step explanation:

I took the test and got 1 inch equals 4 feet :) Hopes this helps

♡ The Question ♡      

Caitlin drew a scale drawing of the community park in her town. The actual park is 48 feet long. Caitlin's scale drawing is 12 inches long.  

What scale did Caitlin use to draw the park?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

1 inch equals 4 feet!  

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♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

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-No tips provided!

nvm thts confusing sorry

Answer:

z = -1

Step-by-step explanation:

1/2 + z/7 = 5/14

Multiply both sides of the equation by 14

7 + 2z = 5

Subtract 7

2z = -2

Divide both sides by 2

z = -1

Plug -1 in for z to check

1/2 + (-1/7) = 5/14

Answer:

5.77

Step-by-step explanation:

The mean of a set of data can be found by simply adding all the terms and dividing by the amount of terms there is.

(3.5 +  6.1 + 8.9 + 2.4 + 6.9 + 9.3 + 1.4 + 5.8 + 4.2 + 6.8 + 8.2)/11

= 63.5/11

= ~5.77

5.77 is your answer.

~

Step-by-step explanation:

slope, m = (y1-y2) / (x1-x2) =   (8-6) / (  4-8) = 2/(-4) = - 1/2  slope

Answer:

-1/2

Step-by-step explanation:

Slope formula: \(\frac{y^2-y^1}{x^2-x^1}\)

We have to find the slope for the points (4, 8) and (8, 6).

(x1, y1) - coordinates of the first point (4, 8).

(x2, y2) - coordinates of the second point (8, 6).

Now that we know what the variables stand for, we plug the numbers into the formula.

\(\frac{y^2-y^1}{x^2-x^1} =\frac{6-8}{8-4} \\\\= \frac{-2}{4} =\frac{-1}{2}\)NOTE: -1/2 is -2/4 in the simplest form.

So, the slope of this equation is -1/2.

Given that a space is leased for $126,000 per year and 3,900 square feet leased area.

What will be the rent per square foot per year?

We can obtain the rent per square foot per year by using the following formula;`

Rent per square foot per year = Total rent per year / Total area leased`

Using the formula above, the rent per square foot per year can be calculated as follows;

`Rent per square foot per year = 126,000 / 3,900 = $32.31

`Therefore, the rent per square foot per year is $32.31.

let's do it in more detail:

To calculate the rent per square foot per year, you can divide the total annual rent by the total square footage.

Rent per square foot per year = Total annual rent / Total square footage

Given:

Total annual rent: $126,000

Total square footage: 3,900 square feet

Rent per square foot per year = $126,000 / 3,900 square feet

Using a calculator, we can compute:

Rent per square foot per year ≈ $32.31

Therefore, the rent per square foot per year would be approximately $32.31.

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To determine the reliability factor based on the t-distribution for a 97% confidence interval and a sample size of 35, we need to find the critical value associated with a two-tailed test.

Since the confidence level is 97%, we can find the significance level (α) by subtracting the confidence level from 1:

α = 1 - 0.97 = 0.03

Since it's a two-tailed test, we divide the significance level by 2 to find each tail's area:

α/2 = 0.03/2 = 0.015

With a sample size of 35, we have n - 1 degrees of freedom, which is 35 - 1 = 34.

Now, we can look up the critical value in the t-distribution table or use statistical software to find the value associated with a 0.015 area in the tails, with 34 degrees of freedom.

Using the t-distribution table or a calculator, the reliability factor for a 97% confidence interval and a sample size of 35 is approximately 2.4049 (rounded to four decimal places). When rounded to two decimal places as requested, the reliability factor is 2.40.

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Answer:

B

Step-by-step explanation:

Expressions for the annual interest rate representing monthly, quarterly, or daily interest rate include:

15. (1.08^1/4)^4t = 1.02035

16. (1.16^1/12)^12t = 1.0133

17. (1.9^1/365)^365t = 1.00510

(1.08^1/4)^4t represents the annual interest rate with the time period of 4 times a quarter or a quarterly interest rate of (1.08^1/4)^4t = 1.02035

(1.16^1/12)^12t represents the annual interest rate with the time period of 12 times a month or a monthly interest rate of (1.16^1/12)^12t = 1.0133

(1.9^1/365)^365t represents the annual interest rate with the time period of 365 times a day or a daily interest rate of (1.9^1/365)^365t = 1.00510

In these equations, t represents the number of years, months or days respectively.

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Answer:

  -1056.87

Step-by-step explanation:

You want to know the number that represents the change in a bank balance from +$708.88 to -$347.99.

The change in a value is found by subtracting the beginning value from the ending value:

  -$347.99 -708.88 = -$1056.87

The number -1056.87 can be used to describe the change in the account balance.

1) First let's find the ratio or how many kilograms of dough Herman can prepare per hour

2) Now let's create an equation:

3) Lets use the equation!

Answer: Herman will prepare 16 kilograms of dough in 8 hours.

Let me know if you have any questions.

Answer:

All of the above

Step-by-step explanation:

Answer:

STEP 1:Equation at the end of step 1 ((3 • (p3)) + 32p2) - 210p

STEP 2 :Equation at the end of step 2: (3p3 + 32p2) - 210p

STEP 3:STEP 4:

Pulling out like terms  4.1     Pull out like factors :   3p3 + 9p2 - 210p  =   3p • (p2 + 3p - 70) 

Trying to factor by splitting the middle term 4.2     Factoring  p2 + 3p - 70 The first term is,  p2  its coefficient is  1 .The middle term is,  +3p  its coefficient is  3 .The last term, "the constant", is  -70 Step-1 : Multiply the coefficient of the first term by the constant   1 • -70 = -70 Step-2 : Find two factors of  -70  whose sum equals the coefficient of the middle term,

which is   3 .     -70   +   1   =   -69     -35   +   2   =   -33     -14   +   5   =   -9     -10   +   7   =   -3     -7   +   10   =   3   That's itStep-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  10                      p2 - 7p + 10p - 70

Step-4 : Add up the first 2 terms, pulling out like factors :                    p • (p-7)              Add up the last 2 terms, pulling out common factors :                    10 • (p-7)Step-5 : Add up the four terms of step 4 :                    (p+10)  •  (p-7)             Which is the desired factorization

Final result : 3p • (p + 10) • (p - 7)

Step-by-step explanation:

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The probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321. The expected amount of time until the first bulb goes out is 10 minutes. The probability density function (pdf) of the random variable T, representing the time when you leave the room after the last light bulb goes out, is given by \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\).

To find the probability that a single bulb will burn out within the next 10 minutes, we can use the exponential distribution. The exponential distribution with a mean of 10 minutes has a rate parameter λ = 1/10.

The probability density function (pdf) for an exponential distribution is given by \(f(x) = λ * e^{(-λx)}\)

In this case, we want to find the probability that a bulb burns out within the next 10 minutes, which corresponds to the cumulative distribution function (CDF) at x = 10. The CDF is given by \(F(x) = 1 - e^{(-λx)\)

So, substituting the values, we have:

\(F(10) = 1 - e^{(-(1/10)*10)\)

\(= 1 - e^{(-1)\)

= 1 - 0.3678794412

≈ 0.6321

Therefore, the probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321.

The amount of time until the first bulb goes out follows an exponential distribution with a rate parameter of λ = 1/10 (since it has a mean of 10 minutes).

The probability density function (pdf) for the time until the first bulb goes out is given by\(f(t) = λ * e^{(-λt).\)

To find the expected amount of time until the first bulb goes out, we need to calculate the mean (or expected value) of this distribution.

The expected value of an exponential distribution with rate parameter λ is equal to 1/λ. In this case, the expected value is 1/(1/10) = 10 minutes.

Therefore, the expected amount of time until the first bulb goes out is 10 minutes.

To find the probability density function (pdf) of the random variable T, which represents the time when you leave the room (after the last light bulb goes out), we need to consider the distribution of the maximum of the exponential random variables.

Since there are 20 light bulbs in the room, and each follows an exponential distribution with a rate parameter λ = 1/10, the time until the last bulb goes out can be modeled as the maximum of 20 exponential random variables.

The pdf of the maximum of independent exponential random variables with the same rate parameter λ is given by \(g(t) = n * λ * e^{(-λt)} * (1 - e^{(-λt))^(n-1)}\), where n is the number of random variables.

In this case, n = 20, and λ = 1/10. Thus, the pdf of T is \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\)

This expression represents the pdf of the random variable T, which denotes the time when you leave the room after the last light bulb goes out.

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The value of $100 in euros is $87.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Worth of 1 United States dollar is $0.87 in euros.

To find the value of $100 in Euros, use ratio property,

1 United States dollar = $0.87 in euros

100 United States dollar = $87 in euros.

The value of $100 in euros is $87.

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Given the system of equations:

x + y - z = 4 eq.(1)

3x + 2y + 4z = 17 eq.(2)

-x + 5y + z = 8 eq.(3)

Add the equations 1 and 3

so,

x + y - z + ( -x + 5y + z ) = 4 + 8

x + y - z - x + 5y + z = 12

6y = 12

y = 12/6 = 2

Substitute with y at eq. (1)

So,

x + 2 - z = 4

x - z = 4 - 2

x - z = 2 eq. (4)

Substitute with y at eq.(2)

3x + 2 * 2 + 4z = 17

3x + 4 + 4z = 17

3x + 4z = 17 - 4

3x + 4z = 13 eq.(5)

solve the equations (4) and (5) together

x - z = 2

3x + 4z = 13

Multiply [ x - z = 2 ] by 4

4x - 4z = 8

3x + 4z = 13

Add the last two equations

4x - 4z + 3x + 4z = 8 + 13

7x = 21

Divide both sides by 7

x = 21/7 = 3

So, x = 3 and y = 2

Substitute with the values of x and y at the equation [ -x + 5y + z = 8 ]

So,

-3 + 5 * 2 + z = 8

solve for z

-3 + 10 + z = 8

z = 8 + 3 - 10

z = 11 - 10 = 1

So,

x = 3 , y = 2 and z = 1

Answer:

1900 - 230 = 1670.00 hope that helps you out

The volume of the building is 180 cubic meters if the owner of the large electronic storage wants to install air conditioning on the air conditioner.

It is defined as a three-dimensional space enclosed by an object or thing.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We can divide the figure given in the picture into two parts:

The rectangular prism = 3x8x5 = 120 cubic meters

The triangular prism = 3x8x(1/2)x5 = 60 cubic meters

Total = 120 + 60 = 180 cubic meters

Thus, the volume of the building is 180 cubic meters if the owner of the large electronic storage wants to install air conditioning on the air conditioner.

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Answer:

3/10

To simplify a fraction, you need to find the  GCF (greatest common factor) between both numbers. The GCF between 9 and 30 is 3

9/10 divide by 3/3 is 3/10

Step-by-step explanation:

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Answer:

\(\frac{3}{10}\)

Hope this helps :)

Step-by-step explanation:

To simplify any fraction, you must first find the GCF of the numerator and denominator

9: 1, 3, 9

30: 1, 2, 3, 5, 6, 10, 15, 30

Both of them are divisible by three so we just have to divide the numerator by three and the denominator by three and we'll find our answer:

9/3 = 3

30/3 = 10

The new fraction is:

\(\frac{3}{10}\)

Answer:

im not sure , sorry

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Graphing inequality:

1) First plot y = 2x + 3 as a dotted line as y is less than x

Put x = 0, y = 2*0 +3 = 0 + 3 = 3    ⇒  (0, 3)

Put x = 1  , y = 2*1 + 3 = 2 +3  = 5    ⇒(1 , 5)

Put x = -1,  y =2*(-1)+3 ⇒ -2+3 = 1    ⇒ (-1,1)

Mark these three points, and draw a dotted line.

2) Shade the area bellow the dotted line as y < 2x + 3

Check: take a point in the shaded area. (1 , -1)

    -1 < 2*1 + 3

   -1 < 2 +3

   -1 < 5

The condition is satisfied.