The Smiths are moving across the country. Mr. Smith leaves 5 hours before Mrs. Smith. If he averages 75mph and she averages 95mph, how many hours will it take Mrs. Smith to catch up to Mr. Smith?

Answer:

I think it's 4.5

Step-by-step explanation:

I divided the servings by the packages and I got 4.5 for each of them.

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:7 quarters and 6 dimes

Step-by-step explanation:

ANSWER

-1,-1 is P

-4, -3 is R

-2,  -3 is Q

I think this is the answer hope it helps :)

Answer:

Its only 5 point but ok

its $3.44 per quart

Step-by-step explanation:

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:

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:

Initial Deposit= $800

Annual rate= .1%

Leaves= 8 years

8 x .1= .8

$800 x .8= $640

$800+$640= $1,440

So your answer is $1,440 is the bank balance in 8 years

Step-by-step explanation:

hope i help have a great day

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:

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:

10

Step-by-step explanation:

Im guessing since you have to estimate it then u have to round them up. So if you move both of their points by 2 spaces (divide both by 100) They will be 221x510.

Round them up to 200x500.

That woule be 100 000. Then at the end just dont forget to divide by 10000.

Hope this was helpful

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:

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:

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.

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

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.

Learn more about average on

https://brainly.com/question/20118982

#SPJ1

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:

d

Step-by-step explanation:

it would be a parabola not linear

Answer:

B

Step-by-step explanation:

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:

the missing side is 90 because is a right triangle

Answer:

47.1

Step-by-step explanation:

l= rø

or, l= 18 × 5π/6

or, l= 15π

l = 47.1

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°

Step-by-step explanation:

where is x in the question

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:

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:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

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:

510 miles, 204/3 = 68

68x7.5= 510

There u go :)

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