Brianna started a business making customized dog beds. She can make one bed every two hours. Wesley had a similar business, but used a different method. He can make two beds every threehours. They decided to combine their business ventures and received their first order for 49 beds from a local shop. How many hours will be required to fill the order?

Answer:

Q  has coordinates (qx+5, qy-5)

Step-by-step explanation:

Q  has coordinates (qx, qy)

we move 5 units to the right so add 5 to the value of x

Q  has coordinates (qx+5, qy)

we move 5 units down so subtract 5 from the value of y

Q  has coordinates (qx+5, qy-5)

Answer:

x = -1/2

Step-by-step explanation:

Step 1: Write out equation

9 - 8x - 8 - 2x = 4

Step 2: Combine like terms (x)

9 - 10x - 8 = 4

Step 3: Combine like terms (constants)

-10x - 1 = 4

Step 4: Add 1 to both sides

-10x = 5

Step 5: Divide both sides by -10

x = -5/10

Step 6: Simplify

x = -1/2

Answer:

- 19

Step-by-step explanation:

Let's consider the equation as ;

y = 3x + c

( 6, -1 ) satisfies the equation ;

-1 = 3( 6) + c

c = - 18 - 1

c = -19

So the slope - intercept is (- 19)

Answer:

10

Step-by-step explanation:

This expression uses the idea of exponential edition.  The basis is, when you have the same base number being multiplied, you can add the exponentials.  

Consider the case of 2 * 2.  We know this to be 4.  When writing 2 * 2, you can write this as 2^1 * 2^1 == 2^(1+1) == 2^2 == 4.  See how we added the powers to get the new exponential?

We will apply this same idea here.

10^(1/2) * 10^(1/2) == 10^(1/2 + 1/2) == 10^(1) == 10.

So, the simplified expression is 10.

Cheers.

Answer:

a

mean [tex]\mu = 10[/tex] variance [tex]\sigma^2 = 6[/tex]

b

The binomial random variable x fall into this interval ranges from

     - 5  to  5

c

[tex]P(6 \le x \le 14) = 0.8969[/tex]  

Step-by-step explanation:

From the question we are told that

  The sample size is  [tex]n = 25[/tex]

   The  percentage that look for gas stations and food outlets that are close to or visible from the highway is  [tex]p = 0.40[/tex]

Generally the mean is mathematically represented as

       [tex]\mu = n * p[/tex]

=>     [tex]\mu = 0.40 * 25[/tex]

=>    [tex]\mu = 10[/tex]

The variance is mathematically represented as

      [tex]\sigma^2 = np(1- p )[/tex]

=>   [tex]\sigma^2 = 25 * 0.40(1- 0.40 )[/tex]

=>    [tex]\sigma^2 = 6[/tex]

The  standard deviation is mathematically evaluated as

     [tex]\sigma = \sqrt{\sigma^2}[/tex]

     [tex]\sigma = \sqrt{6}[/tex]

    [tex]\sigma = 2.45[/tex]

The  interval is evaluated as

       [tex]p\pm 2 \sigma[/tex]

=>   [tex]p - 2 \sigma\ \ \ , \ \ \ p + 2\sigma[/tex]

=>   [tex]0.40 - 2 *2.45\ \ \ , \ \ \ 0.40 + 2* 2.45[/tex]

=>   [tex]-4.5\ \ \ , \ \ \ 5.3[/tex]

The binomial random variable x fall into this interval ranges from

     - 5  to  5

Generally

    [tex]P(6 \le x \le 14) = P(\frac{ x - \mu }{\sigma } \le \frac{14 - 10}{{2.45}} ]-P[ \frac{ x - \mu }{\sigma } \le \frac{6 - 10}{2.45 } ][/tex]

     [tex]P(6 \le x \le 14) = P(Z \le 1.63 ]-P[ Z \le -1.63 ][/tex]

     [tex]P(6 \le x \le 14) = [1- P(Z > 1.63 ]] -[1- P[ Z > -1.63 ]][/tex]      

From the z-table  

                 [tex]P(Z > 1.63 ) = 0.051551[/tex]

And

                [tex]P(Z >- 1.63 ) =0.94845[/tex]

=>        [tex]P(6 \le x \le 14) = [1-0.051551] -[1-0.94845][/tex]      

=>        [tex]P(6 \le x \le 14) = 0.8969[/tex]  

Answer:

a) 1/11 (b) 7/22 (c) 5/11 (d) 0 (e) 19/66

Step-by-step explanation:

Given the following :

Number of Blue socks = n(B) = 4

Number of Gray socks = n(G) =5

Number of black socks = n(Bl) = 3

Total number of socks = (4 + 5 + 3) = 12

Probability = ( number of required outcomes / number of total possible outcomes)

Picking 2 socks at random:

A) probability of two blue socks :

Ist pick = p(B) = (4/12) = 1/3

Number of Blue socks left = (4 - 1) =3

Total socks left = 12 - 1 = 11

2nd pick = p(B) = (3/11)

P(2 blue socks) = (1/3 * 3/11) = 3 /33 = 1/11

B) No gray socks :

Number of non - gray socks = (4 + 3) = 7

1st pick = 7/12

After 1st pick non-gray socks left = 6

Total socks left = 11

2nd pick = 6 / 11

P(non-gray) = (7/12 × 6/11) = 42/132 = 7/22

C.) Atleast one black socks = (1 - P(no black))

Number of non-black socks = (4 +5) = 9

1st pick = 9/12 = 3/4

After 1st pick, non-black left = 8, total = 11

2nd pick = 8/11

P(non - black) = (3/4 × 8/11) = 24/44 = 6/11

P(atleast 1 black) = (1 - 6/11) = 5 /11

D.) A green socks

Number of green socks = 0

P(green) = 0

E.) A matching socks :

1) matching black socks :

Ist pick = p(Bl) = (3/12) = 1/4

Number of Black socks left = (3 - 1) =2

Total socks left = 12 - 1 = 11

2nd pick = p(Bl) = (2/11)

P(matching black socks) = (1/4 * 2/11) = 2 /44 = 1/22

11) matching blue socks:

Ist pick = p(B) = (4/12) = 1/3

Number of Blue socks left = (4 - 1) =3

Total socks left = 12 - 1 = 11

2nd pick = p(B) = (3/11)

P(matching blue socks) = (1/3 * 3/11) = 3 /33 = 1/11

111) matching gray socks :

Ist pick = p(B) = (5/12) = 5/12

Number of Blue socks left = (5 - 1) =4

Total socks left = 12 - 1 = 11

2nd pick = p(B) = (4/11)

P(matching gray socks) = (5/12 * 4/11) = 20/132 = 5 /33

Summing the probabilities :

(1/22 + 1/11 + 5/33) = (3 + 6 + 10) / 66 = 19/66

Using the hypergeometric distribution, it is found that there is a:

a) 0.0909 = 9.09% probability that you end up with 2 blue socks.

b) 0.3182 = 31.82% probability that you end up with no gray socks.

c) 0.4545 = 45.45% probability that you end up with at least 1 black sock.

d) 0% probability that you end up with a green sock.

e) 0.2879 = 28.79% probability that you end up with matching socks.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item a:

The probability is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,4) = \frac{C_{4,2}C_{8,0}}{C_{12,2}} = 0.0909[/tex]

0.0909 = 9.09% probability that you end up with 2 blue socks.

Item b:

The probability is P(X = 0), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,12,2,5) = \frac{C_{5,0}C_{7,2}}{C_{12,2}} = 0.3182[/tex]

0.3182 = 31.82% probability that you end up with no gray socks.

Item c:

The probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,12,2,3) = \frac{C_{3,0}C_{9,2}}{C_{12,2}} = 0.5455[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5455 = 0.4545[/tex]

0.4545 = 45.45% probability that you end up with at least 1 black sock.

Item d:

There are no green socks, hence 0% probability that you end up with a green sock.

Item e:

Hence, for two gray:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,5) = \frac{C_{5,2}C_{7,0}}{C_{12,2}} = 0.1515[/tex]

Then, for two black:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]

Then, the probability of matching socks is:

[tex]p = 0.0909 + 0.1515 + 0.0455 = 0.2879[/tex]

0.2879 = 28.79% probability that you end up with matching socks.

A similar problem is given at https://brainly.com/question/24826394

Answer:

x=20

Step-by-step explanation:

<2 = <3 when the lines are parallel

3x-10 = x+30

Subtract x from each side

3x-10 -x = x+30-x

2x-10 = 30

Add 10 to each side

2x-10 +10 = 30+10

2x = 40

Divide by 2

2x/2= 40/2

x =20

Answer:8^20

Step-by-step explanation:

I just say 10x2=20 lol

Answer:

[tex]8^{20}[/tex]

Step-by-step explanation:

8^10*2

8^20

Answer:

50

Step-by-step explanation:

first you plug in 4 for x and -3 for y. then you solve

Answer: 50 and 5, respectively

Step-by-step explanation:

For this problem, we are given x and y. With the x and y value given, all we have to do is to plug them into the expressions and solve.

5(x-2y)                        [plug in x=4 and y=-3]

5((4)-2(-3))                 [combine like terms by using order of operations]

5(4+6)

5(10)=50

-----------------------------------------------------------------------------------------------------------

2x+y                            [plug in x=4 and y=-3]

2(4)+(-3)                     [combine like terms by using order of operations]

8-3=5

Now that we have plugged in x=4 and y=-3 into the two expressions, we get 50 for the first expression and 5 for the second equation.

Answer:

volume = 33965.39

Step-by-step explanation:

Attached below is a detailed solution of the problem and the required sketch

volume of this solid is calculated integrating about the axis of : 5,3

Y = In x = x = e^y

the shaded region in the sketch represent the region where the rotating takes place.

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

= (1/36 + 1/36) = 2 /36 = 1/18

Answer: 161/13

Step-by-step explanation: 1. Multiply the denominator by The number

2. add the answer from step one to the numerator

3. Write the answer from step 2 over the denominator

Answer: x=-6

Step-by-step explanation:

Undefined slopes are vertical lines, so there's no y variable in the equation. so you look at the point (-6, -8) and take out the y, which is negative eight. So your answer is negative six.

The equation of the line that passes through the point (-6, -8) and has an undefined slope will be y + 8 = m (x + 6).

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Then the equation of the line that passes through the point (-6, -8) and has an undefined slope will be

y + 8 = m (x + 6)

The equation of the line that passes through the point (-6, -8) and has an undefined slope will be y + 8 = m (x + 6).

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Answer:

341.5 because it makes the most sense

Answer:

340.511

Step-by-step explanation:

The five in the tenths place would make you round up.

Hope this helps! Can I get Brainliest? I’ve never had it before.

==================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(x) = 5/12

x = arccos(5/12)

x = 65.375681647836 which is approximate

x = 65.4 after rounding to one decimal place

Make sure your calculator is in degree mode. The arccosine function is the same as the inverse cosine function (shortened to [tex]\cos^{-1}[/tex] ).

-17 is a rational number

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Rational numbers have finite or recurring decimal expansions. Irrational numbers are numbers that can not be expressed as the ratio or fraction of two integers. Irrational numbers have non-terminating and non-repeating decimal expansions.

Whereby -17 can be expressed as the value -17/1, based on the definition of a rational number, -17 is a rational number

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Answer:

There is an accident ahead, which often causes traffic to slow.

Step-by-step explanation:

Looking at the question closely, we understand that the traffic jam occurred at a time that is not generally regarded as a rush hour.

A traffic jam due to road repair is not really an option because roads are closed during repairs. Shop malls announce their special sales days ahead of time so that many people will hear about it.

However, it is likely that an accident occurred. An road accident may suddenly occur on an otherwise less busy road. This often leads to an unusual delay in traffic irrespective of the hour of the day when it occurs.

Answer:

20.96 m/s is the final speed.

Step-by-step explanation:

Given that:

Initial speed of the car = 8 m/s

Acceleration of the car = 1.8 m/[tex]s ^{2}[/tex]

Time for which the car accelerates = 7.2 seconds

To find:

The speed of car after accelerating for 7.2 seconds at an acceleration of 1.8 m/[tex]s ^{2}[/tex] = ?

Solution:

First of all, let us have a look the formula given for the final velocity of an object with given initial speed, acceleration and time:

[tex]v=u+at[/tex]

Where [tex]v[/tex] is the final speed of object

[tex]u[/tex] is the initial speed of an object

[tex]a[/tex] is the acceleration of object and

[tex]t[/tex] is the time

Here, [tex]u = 8\ m/s[/tex]

[tex]a = 1.8\ m/s^{2}[/tex] and

[tex]t = 7.2\ seconds[/tex]

To find:

[tex]v = ?[/tex]

Let us put all the given values in the formula:

[tex]v =8+1.8 \times 7.2\\\Rightarrow v =8+12.96\\\Rightarrow \bold{v =20.96\ m/s}[/tex]

So, the answer is:

20.96 m/s is the final speed.

Answer:

83, 97, 111 i think that is what you are asking

Answer:

83, 97,111

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3-(-5=8

3+5=8

They are on the same x axis so all you have to do is add 3 and 5 together.

Answer:

c) Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.

Step-by-step explanation:

a) Marcia is not correct. Since the points are in two-dimensions, the distance formula must be used to find the distance.

b) Marcia is correct. For any pair of points, the distance between the points can be treated as if they are in one-dimension.

c) Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.

d) Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=√8

Answer:

lines CD, AE, and BD are half the length of CD

Step-by-step explanation:

All circles will have the same radius "r"

then CD = 4r

½CD = 2r

CB = AE = BD = 2r

The line CD has two circles which are equidistant from the points C and D and both meet at point B.

Point B is the midpoint of Line CD dividing line CD into two equal halves.

The line segments AE , CB and BD are line segments that are half of the length of line CD.

CB and BD form the diameters of the circles.

A diameter is a line that divides the circle into 2 equal halves. It passes through the center of the circle and joins one end point to another.

A radius is the distance from the circumference to the center of the circle.

A diameter is made up of two radius.

In the figure two equal diameters divide the line segment into two equal parts.

The third circle has the diameter AE which has radius AB and AE which are also the radius of the other two circles.

Hence the three circle are equal .

Hence the line segments AE , CB and BD are line segments that are half of the length of line CD.

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To solve this polynomial equation, we will need to factor the left side.

On the left, we have a a trinomial in a special form that

can be factored as the product of two binomials.

The trinomial on the left can be factored which makes life easier.

This factors as (x + 11)(x - 2) = 0.

This means that either x + 11 = 0 or x - 2 = 0.

Solving each equation from here, we get x = -11 or x = 2.

So the solution is {-11, 2}.

Answer:

2 and -11

Step-by-step explanation:

Step 1: Use the quadratic formula to solve for x

[tex]x=\frac{-b+-\sqrt{b^{2-4ac} } }{2a} \\x=\frac{-9+-\sqrt{9^{2}-4(1) (-22)} }{2(1)} \\x=\frac{-9+-\sqrt{169} }{2(1)}\\x=\frac{-9+-13 }{2}\\x1=\frac{-9+13 }{2}\\x1=\frac{4}{2} \\x1 = 2\\x2 = \frac{-9-13 }{2}\\x2 = \frac{-22 }{2}\\x2 = -11\\[/tex]

Therefore the values of 'x' that make the equation true is 2 and -11

Answer:

divide both sides by 23

making it to be 0.26

The value of x from the equation 23x =6 is x= 6/23.

To solve for the value of x in the equation 23x = 6, we need to isolate x on one side of the equation.

Divide both sides of the equation by 23:

(23x) / 23 = 6 / 23

Simplifying:

x = 6 / 23

Therefore, the value of x is 6 divided by 23, which can be left as a fraction or decimal depending on the desired form.

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Answer:

3 ones

2 tenths

8 hundredths

I'm sorry if I misunderstood.

Good luck though! :)

Please add Brainliest if you'd like, not that it matters.

[tex]\bf \underline{ \underline{Given : }}[/tex]

[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]

Calculate the curved surface area of the cone .

[tex]\bf \underline{ \underline{Formula \: applied : }}[/tex]

Curved surface area of cone = πrl

[tex]\bf \underline{ \underline{Solution : }}[/tex]

First of all,

Radius = Diameter/2

=> Radius,r = 14/2

=> Radius,r = 7 cm

Now,

[tex] \sf{Curved \: surface \: area \: of \: cone =\pi rl}[/tex]

[tex] \sf \: \implies \: \dfrac{22}{ \cancel7} \times \cancel7 \times 8.45[/tex]

[tex] \sf\implies22 \times 8.45[/tex]

[tex] \sf \implies 185.9 \: {cm}^{2} [/tex]

Hence,the Curved surface area of cone is 185.9 cm².

Answer:[tex]S(t)=12-0.75t[/tex]

Step-by-step explanation:

Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours  after the storm ended, after the storm ended, the depth of snow was down to 9 inches.

Snow melted in 4 hours = [tex]0.75\times4 =3\text{ inches}[/tex]

Initial depth of snow = 9 + 3 inches = 12 inches.

Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)

Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.

Then, [tex]S(t)=12-0.75t[/tex]

The linear equation that represents the depth of snow on Tristan's lawn, in inches, t hours  after the snow stopped falling is:

[tex]S(t) = 12 - 0.75t[/tex]

A linear function in the model will have the following format:

[tex]S(t) = S(0) - mt[/tex]

In which:

The snow melts at a rate of 0.75 inches per hour, thus [tex]m = 0.75[/tex] and:

[tex]S(t) = S(0) - 0.75t[/tex]

After 4 hours, there were 9 inches, that is, when [tex]t = 4, S(t) = 9[/tex], and this is used to find S(0).

[tex]S(t) = S(0) - 0.75t[/tex]

[tex]9 = S(0) - 0.75(4)[/tex]

[tex]S(0) = 9 + 0.75(4)[/tex]

[tex]S(0) = 12[/tex]

Hence, the equation is:

[tex]S(t) = 12 - 0.75t[/tex]

A similar problem is given at https://brainly.com/question/16302622

Answer:

m = -3

b = 0

equation of line

y = -3x

Step-by-step explanation:

in the  the equation in the form y = mx +b

m is the slope

b is the y intercept.

__________________________________________________

given slope = -3

thus,

m = -3

the required equation of line is

y = mx +b  

put m = -3

y = -3x + b

to find b , we put x = -2, y = -6 as this equation contains point (-2,-6).

-6 = -3*-2 + b

=> -6 = -6 + b

=> b = -6 + 6 = 0

thus. m = -3

b = 0

equation of line

y = -3x

Answer:

The mean is 7.1

The median IS NOT 1.6 (its 8)

The mode IS NOT 0 (its 8)

Step-by-step explanation:

The true statement is , The mean is 7.1.

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

here, we have,

given data, group of numbers (8, 12, 4, 8, 6, 0, 9, 11, 3, 10)

now, we get,

The mean is 7.1.

The median IS NOT 1.6 (its 8)

The mode IS NOT 0 (its 8).

hence, The true statement is , The mean is 7.1.

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Answer: $160.18

Step-by-step explanation:    

Answer:

$160.18

Step-by-step explanation:

The cabinet's sale price (or in this case, sub-total) is $149. The sales tax is 7.5%, which means you must multiply 149 x 7.5% to get 11.175. After you do this, you must add the 11.175 (which we will round to $11.18 for your tax) to your subtotal ($149). Since $149 + $11.18 = $160.18, you will have to pay a total of $160.18 for the cabinet.