A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the the job.

Step-by-step explanation:

where is x in the question

Answer:

the missing side is 90 because is a right triangle

Answer:

3 hours

Step-by-step explanation:

there's 6 parts and it takes them both an hour for each part so alone they would take 6 hours but divide that by 2 and it's 3 hours

Answer: I would say 3 hours if you worked seperatly from each other to complete one task

Step-by-step explanation:

Answer:

70 baskets

Step-by-step explanation:

Let b be the number of baskets he will make if he shoots 100 baskets.

[tex]\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\[/tex]

Answer:

54 unit ^2

Step-by-step explanation:

Well a formula for a rectangle is a=lw

So 6*9=54

The area is 54

Answer:

510 miles, 204/3 = 68

68x7.5= 510

There u go :)

Answer:

105 degrees

Step-by-step explanation:

You need to understand the properties of corresponding angles and supplementary angles.

ANSWER

-1,-1 is P

-4, -3 is R

-2,  -3 is Q

I think this is the answer hope it helps :)

9514 1404 393

Answer:

  C - 24 square root of 2

Step-by-step explanation:

In case you haven't memorized the fact that the diagonal of a square is √2 times the side length, you can figure it from the Pythagorean theorem.

  d² = s² + s² . . . . square of hypotenuse is sum of squares of sides

  d² = 2s²

  d = s√2 = (24 ft)√2 = 24√2 ft

Presumably, x is standing in for the question mark.

The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.

So we have

angle DFE = 1/2 (arc CV + arc DE)

125° = 1/2 (x + 200°)

250° = x + 200°

x = 50°

Answer:

1. 0.1635

2. 0.0026

Step-by-step explanation:

The computation of the probability in the following cases are as follows:

1.

Given that

Mean = 25 minutes

ANd, the standard deviation is 6.1 minutes

So here the z score would be

= (31 - 25) ÷(6.1)

= 0.98

Now the probability is

= P(Z>0.98)

= 0.1635

2. the z score would be

= (8 - 25) ÷(6.1)

= -2.79

Now the probability is

= P(Z<-2.79)

= 0.0026

Answer:

FNB bank

Step-by-step explanation:

FNB = 18000 * 0.056* 8 = 8064

Nedbank = 18000*0.066* 6 = 7128

Standard = 18000*0.072*5=6480

FNB is the best choice for Steven

Answer:

wx-x=d

wx = d + x

x = d/w + x/w

Step-by-step explanation:

Answer:

x = d/(w-1)

Step-by-step explanation:

factor out 'x' as first step:

x(w - 1) = d

now divide by w-1:

x = d/(w-1)

Answer:

The answer is A

Step-by-step explanation:

Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.

Answer:

c

Step-by-step explanation:

C is the only equality that no matter what, the value would be $75 or less

Answer:

d

Step-by-step explanation:

it would be a parabola not linear

Answer:

Step-by-step explanation:

From the information given:

The probability distribution at the end of 6 months is determined as follows:

After 6 months;

Mean of probability distribution =  value of Initial cash  + [tex]\alpha[/tex]T  

=2.0 +(0.1 × 6)

=2.6

After 6 months;

The probability distribution's standard deviation is estimated by using the following formula:

Standard deviation:

[tex]= b\sqrt{T}[/tex]

[tex]= 0.4 \times \sqrt{6}[/tex]

= 0.9798

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean                            2.6

Standard deviation     0.9798

Variance                      0.96

After 12 months, the probability distribution is as follows:

Mean = value of Initial cash  + [tex]\alpha[/tex]T

= 2.0 +(0.1 × 12)

= 3.2

The standard deviation is:

The standard deviation of probability distribution = [tex]b \sqrt{T}[/tex]

[tex]= 0.4 \times \sqrt{12}[/tex]

= 1.3856

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean                            3.2

Sandard deviation      1.3856

Variance                      1.92

b)  

in 6-month distribution, the probability of the negative value of the cash position is as follows.

Now, for us to find the negative cash distribution;

We need to estimate the z -scores value.

The z-score inform us greatly on the concept of how far a particular data point is from the mean.

For a normal distribution;

[tex]z = \dfrac{x-\mu}{\sigma}[/tex]

Here;

the value of x = zero as a result that if it exceeds zero. the cash position will be negative.

∴

[tex]z = \dfrac{x-\mu}{\sigma}[/tex]

[tex]z = \dfrac{0 - 2.6}{0.9798}[/tex]

[tex]z = -2.6536[/tex]

Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.

As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.

For 12 months distribution:

The Probability of negative cash position is calculated as follows:

[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094[/tex]

Using the standard distribution tables,

N(-2.31) equals 0.0104 or 1.04 percent.

As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year  

c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values [tex](\mu)[/tex], expressed in terms of the total set's standard deviation [tex](\sigma)[/tex]

This suggests that the higher the z-score, the greater the difference occurring between x and [tex]\mu[/tex], and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.

To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.

The first step is to go over the z-score formula in more detail, as seen below.;

[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\[/tex]

Now, compute the derivative of this equation with respect to T as follows:

[tex]\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}[/tex]

Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:

[tex]0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20[/tex]

As a result, the time period in which achieving a negative cash condition is = 20 months.

Answer:

Average of Gilbert in last 5 test = 86.6

Step-by-step explanation:

Given:

Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90

Find:

Average of Gilbert in last 5 test

Computation:

Average value = Sum of all events / Total number of events

Average of Gilbert in last 5 test = Sum of all last results / Number of results

Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5

Average of Gilbert in last 5 test = [433] / 5

Average of Gilbert in last 5 test = 86.6

Answer:

The mean absolute deviation is 36.8. Hope this was helpful

Step-by-step explanation:

Answer:7 quarters and 6 dimes

Step-by-step explanation:

Answer:

Its only 5 point but ok

its $3.44 per quart

Step-by-step explanation:

Answer:

30cm3

Step-by-step explanation:

Volume=Base area *height

Base area is a triangle=1/2 *base*height

1/2*3*4=6cm2

Height=5cm

Volume=6*5=30cm3

Answer:

10 m³

Step-by-step explanation:

My apologies for attaching the explanation in a pic, brainly wouldn't let me upload my text answer for some reason.

Answer:

Step-by-step explanation:

1) Regular price = $ 20

Reduction  = 18% of regular price

                 = 0.18 * 20

                 = 3.6

Discount price = 20 - 3.6 = $ 16.4

2) Regular price = $ x

Reduction  = 18% of regular price

                 = 0.18 * x

                 = 0.18x

Discount price =$ (20 - 0.18x)

3) Discount price = $ 18.45

Let the regular price be x

(100 - 18)%  of x = 18.45

           82% of x = 18.45

          [tex]\frac{82}{100}*x=18.45\\\\ x = 18.45* \frac{100}{82}\\\\ x = 22.50[/tex]

Regular price = $22.50

Answer:

17 units is the answer

Step-by-step explanation:

Points are (1,9) and (9,-6)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]

∴ d = 17 units is the distance between 2 points.

The weight of the third book is approximately 5.33 grams.

According to the given information:

The average weight of the 3 books is 3 grams.

To find the average weight, we sum up the weights of all the books and divide by the total number of books:

(1/3 + 5/2 + x) / 3 = 3

Now we can solve this equation to find the weight of the third book:

(1/3 + 5/2 + x) = 3 * 3

(1/3 + 5/2 + x) = 9

(1 + 15 + 6x) / 6 = 9

(22 + 6x) / 6 = 9

22 + 6x = 54

6x = 54 - 22

6x = 32

x = 32 / 6

x ≈ 5.33

Therefore, the weight of the third book is approximately 5.33 grams.

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The average weight of 3 books is 3gm, one book weighs 1/3 gm and the second 5/2gm. What is the weight of the third?

Answer:

The number of sides is 3 on each piece of paper, altogether there are 6 sides.

The total number of angles on a triangle is 180°, altogether the sum of both triangles is 360°

Answer:

x(x+1) = 12

Step-by-step explanation:

If a number is x then it's consecutive number will be x + 1.

And their product x(x+1)

Answer:

47.1

Step-by-step explanation:

l= rø

or, l= 18 × 5π/6

or, l= 15π

l = 47.1