A mile is about 6 x 104
inches. An
average human hair is 3 x
10-3 inches
thick. About how many
times longer is a
mile than a human hair?

Given:

Consider the expression is

[tex]\log_63+\log_68-\log_64[/tex]

To find:

The value of given expression.

Solution:

We have,

[tex]\log_63+\log_68-\log_64[/tex]

Using properties of logarithm, we get

[tex]=\log_6(3\times 8)-\log_64[/tex]       [tex][\because \log_am+\log_an=\log_amn][/tex]

[tex]=\log_6(24)-\log_64[/tex]

[tex]=\log_6\left( \dfrac{24}{4}\right)[/tex]       [tex][\because \log_am-\log_an=\log_a\dfrac{m}{n}][/tex]

[tex]=\log_66[/tex]

[tex]=1[/tex]                    [tex][\because \log_aa=1][/tex]

Therefore, the value of given expression is 1.

(C) 1 is the correct answer.

Answer:

A or C

Step-by-step explanation:

Answer:

251,000$

Step-by-step explanation:

Answer:

90mph

Step-by-step explanation:

15 times 6, will u answer my question on my page

Answer:

1.  dividing

2.  faster than

Step-by-step explanation:

Edge 2020

Answer:

The speed of a turtle can be found by distance by time.

   adding

   subtracting

   multiplying

✔ dividing

The speed of the winning turtle was the speed of the other two turtles.

   slower than

   the same speed as

✔ faster than

Answer:

Sin A = 8/10 or 4/5

Cos A = 6/10 or 3/5

Tan A = 8/6 or 4/3

Answer:

angle = 48 supplement = 132

Step-by-step explanation:

Answer:

angle 48 and supplement 132

Answer:

The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].

Step-by-step explanation:

From Linear Algebra, we define reflection across the x-axis as:

[tex](x',y') = (x, -y)[/tex], [tex]\forall \,x,y\in\mathbb{R}[/tex]

According to the statement of problem, the following operation of translation:

[tex](x',y') = (x+3, y-7)[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]

Where:

[tex](x,y)[/tex] - Original point, dimensionless.

[tex](x',y')[/tex] - Translated point, dimensionless.

If we know that [tex]A(x, y) = (9, -6)[/tex], we proceed to make the abovementioned operations:

Translation

[tex](x', y') = (9+3,-6-7)[/tex]

[tex](x',y') = (12, -13)[/tex]

Reflection

[tex](x'', y'') = (x',-y')[/tex]

[tex](x'', y'') = (12, 13)[/tex]

The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].

[tex]range=524.[/tex]

Step-by-step explanation:

[tex]range \: is : max - min \\ the \: range \: is \: : 529 - 5 = 524. \\ regards \\ ♨Rage♨[/tex]

The range of the given data set comes to be 524.

The given data set is: 52, 24, 5, 72, 49, 529

The range of a data set is the difference between the maximum and minimum value of that data set.

The maximum value of the given data set = 529

The minimum value of the given data set = 5

The difference between the maximum and minimum value of that data set=529-5 =524

So, the range of the data set =524

Therefore, the range of the given data set comes to be 524.

To get more about range visit:

https://brainly.com/question/8486248

Answer:

in total there are 225 books if that's what you're asking?

Answer: 0.9772

Step-by-step explanation:

Let X be a random variable that represents the transport time .

We assume X is normally distributed with a mean [tex]\mu=28\text{ minutes}[/tex] and a standard deviation [tex]\sigma=5\text{ minutes}[/tex].

Sample size : n= 100

The probability that the average transport time was bigger than 27 minutes:

[tex]P(\overline{X}>27)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{27-28}{\dfrac{5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-1}{\dfrac{5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>-2)=P(Z<2)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.9772\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =0.9772

Answer:

nnnvvg

Step-by-step explanation: mm

Answer:

The probability that the man arrives first is 0.50.

Step-by-step explanation:

Let X denote the arrival time of the man and Y denote the arrival time of the woman.

It is provided that:

[tex]X\sim U[15,45]\\\\Y\sim U[0,60][/tex]

The pdf of X an Y are:

[tex]f_{X}(x)=\frac{1}{45-15}=\frac{1}{30};\ 15<X<45\\\\f_{Y}(y)=\frac{1}{60-0}=\frac{1}{60};\ 0<Y<60[/tex]

It is provided that X and Y are independent of each other.

Then the joint pdf of X and Y is:

[tex]f_{XY}(x,y)=f_{X}(x)\times f_{Y}(y)\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{30}\times \frac{1}{60}\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{1800};\ 15<X<45,\ 0<Y<60[/tex]

Compute the probability that the man arrives first as follows:

[tex]P(X<Y)=\int\limits^{45}_{15} {\int\limits^{60}_{x} {\frac{1}{1800}} \, dy } \,dx[/tex]

                 [tex]=\frac{1}{1800}\times \int\limits^{45}_{15} y|^{60}_{x} \,dx\\\\=\frac{1}{1800}\times \int\limits^{45}_{15} {60-x} \,dx\\\\=\frac{1}{1800}\times |60x-\frac{x^{2}}{2}|^{45}_{15}\\\\=\frac{(1687.5-787.5)}{1800}\\\\=\frac{900}{1800}\\\\=\frac{1}{2}\\\\=0.50[/tex]

Thus, the probability that the man arrives first is 0.50.

Answer:

5 capsules

Step-by-step explanation:

A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).

Step 1

We convert the capsules form grams to milligrams

1 gram = 1000 milligrams

0.250grams = x

Cross Multiply

x = 0.250 × 1000 milligrams

x = 250 mg

Hence, 1 capsule = 250 mg

How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg

The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).

The child weighs 69 pounds

1 pound = 0.453592 kg

69 pounds = x kg

Cross Multiply

x kg = 69 × 0.453592kg

x kg = 31.297848kg

Hence,

1 kg= 40.0 mg

31.297848 kg = x

x = 31.297848 × 40.0mg

x = 1251.91392mg

Therefore, the child would take 1251.91392 mg

From the first calculation we know that:

1 capsule = 250 mg

250mg = 1 capsule

1251.91392 mg = x capsules

250mg × x = 1251.91392 mg × 1 capsule

x = 1251.91392 mg/250mg

x = 5.00765568 capsules

Approximately = 5 capsules

Hence, a child that weighs 69 pounds takes 5 capsules of keflex

Answer:

no table

Step-by-step explanation:

Answer:

Step-by-step explanation:[tex]8000000^{9090}[/tex] +98989898989

(If you don't think this is legit, just search up Chinese math question)

If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?

To answer this question correctly would truly be an accomplishment.

Hope this helps, if not, comment down below please!!!

(cast your answer down below pls)

:L

This question is incomplete, the complete question is;

Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by ​f(x) = x⁻⁷ and the​ x-axis on the interval ​[ 1​,​ ∞) is revolved about the​ x-axis.  

Answer: volume of the cubic units is π/13

Step-by-step explanation:

Given that;

​f(x) = x⁻⁷  

in the image, Area of ring = πR²

we substitute

Area = π (x⁻⁷)²

= π(x⁻¹⁴)

Now

Volume = ₁∫^∞ π(x⁻¹⁴) dx

= [ -π/13  x⁻¹³ ]₁^∞

= 0 + π/13

= π/13

therefore volume of the cubic units is π/13

Answer:

0.56652

Step-by-step explanation:

Given that :

1 job takes 15 seconds

x jobs will take 60 seconds

15x = 60

x = 4

4 jobs take 60 seconds

μ = 4

Job is 4th in line :

Find the probability of ;

P(x ≥ 4) = 1 - [P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)]

P(μ, x) = [(e^-μ) * (μ^x)] ÷ x!

Using the poisson distribution calculator :

P(x< 3) = 0.19537

P(x< 2) = 0.14653

P(x< 1) = 0.07326

P(x< 0) = 0.01832

Hence,

P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)

= 1 - (0.19537 + 0.14653 + 0.07326 + 0.01832)

= 1 - 0.43348

= 0.56652

Answer:

[tex]n = 7\frac{1}{4}[/tex]

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have:

[tex]Length = 4\frac{1}{4}ft[/tex]

[tex]Width = n[/tex]

[tex]Perimeter = 23fr[/tex]

Required

Determine n

Perimeter is calculated as:

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute in values

[tex]23 = 2(4\frac{1}{4} + n)[/tex]

Convert to decimal

[tex]23 = 2(4.25 + n)[/tex]

Open Bracket

[tex]23 = 8.5 + 2n[/tex]

Collect Like Terms

[tex]2n = 23 - 8.5[/tex]

[tex]2n = 14.5[/tex]

[tex]n = 14.5/2[/tex]

[tex]n = 7.25[/tex]

[tex]n = 7\frac{1}{4}[/tex]

Answer: 87

Step-by-step explanation:

3,132/9 = 348

348x1.5 = 522

522-435 = 87

i think?

Answer:

0.004

Step-by-step explanation:

10*0.004=0.04

hope this helps

Answer:

0,004 i think

Step-by-step explanation:

0.1998 is the probability that no more than 4 of the entry forms will include an order.

Given the following information:

Treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

[tex]P(X = x) = nC_xp^x(1-p)^{n-x}[/tex]

where n is the total number of observations, x is the number of success, p is the probability of success.

Here, n = 16

[tex]P (x \leq 4) = P(x = 0) + P (x = 1) + P(x = 2) + P(x = 3)[/tex]

= [tex]16C_00.4^0(1-0.4)^{16} + 16C_10.4^1(1-0.4)^{15} + 16C_20.4^2(1-0.4)^{14}+ 16C_30.4^3(1-0.4)^{13}[/tex]

= 0.00028 + 0.0030 + 0.150 + 0.0468

= 0.1998

0.1998 is the probability that no more than 4 of the entry forms will include an order.

Know more about binomial distribution,

https://brainly.com/question/14524588

#SPJ4

Answer:

12 feet and 14 feet

Step-by-step explanation:

Let a and b be the length and width of a rectangle

a and b are consecutive even integers

a=x, b=x+2

perimeter=52

2*(a+b)=52

2*(x+x+2)=52

2x+2=26

2x=24

x=12

a=12

b=x+2=14

Answer:

dimensions of the rectangle are 12 ft by 14 ft

Step-by-step explanation:

Let's name our unknowns :

width = x and therefore, the length according to the information given will be of size x + 2 (consecutive even integer).

Then the perimeter (addition of all four sides of the rectangle) will be the sum:

x + (x + 2) + x + (x + 2) = 52

combining like terms:

4 x + 4 = 52

subtracting 4 on both sides

4 x  = 52 - 4

4 x = 48

x = 48 / 4

x = 12

so the width is 12 feet and the length must be 2 feet larger, that is: 14 feet

Then the dimensions of the rectangle are 12 ft by 14 ft.

Answer:

See below

Step-by-step explanation:

All of the sides are the same length so all of the angles are the same in this equilateral triangle....each is 60°

60 = 2.5 x + 6

54 = 2.5 x

x = 21.6 °

Answer: The population is 523 and the sample is 112.

Step-by-step explanation:

In statistical parlance, a population is referred to as all the entire individuals or subject which makes up a certain group of interest. In the scenario above, the group of interest refers to the consumers who buys the vitamin brand each month. Hence, the population encompasses all the buyers for for a particular month which sums up to 523 customers.

The sample is a subset culled from the population. It refers to a smaller group of individuals or subject which are chosen by a sampling method from the entire population. In the scenario above, the number of randomly selected consumers who were sent surveys are the sample. The fact that not all those who were sent surveys responded does not change the fact that they were randomly selected from the larger population pool and will hence be considered to be a part of the sample.Hence the sample is 112.

Complete Question

The scores on a psychology exam were normally distributed with a mean of 59 and a standard deviation of 6. About what percentage of sores were less than 53. The percentage of scores that were less than 53 was %. (Type an integer or a decimal.

Answer:

The value is [tex]P(X < 53) = 0.15866[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 59[/tex]

    The standard deviation is [tex]\sigma = 6[/tex]

Generally the percentage that were less than 53 is mathematically represented as

       [tex]P(X < 53) = P(\frac{X - \mu }{\sigma } < \frac{ 53 - 59 }{ 6 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>    [tex]P(X < 53) = P(Z < -1 )[/tex]

Generally the probability of (Z <  -1  ) is  

         [tex]P(Z < -1 ) = 0.15866[/tex]

=>        [tex]P(X < 53) = 0.15866[/tex]