Write the ratio ( 4/7 1/9 ) in the simplest form

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

Answer:

log 16x^7.

Step-by-step explanation:

log 4 + 2 log 2 + 7 log x

= log4 + log 2^2 + log x^7

= log (4*4*x^7)

= log 16x^7.

Answer:

answer below:)

Step-by-step explanation:

since s2= 6.2, then:

cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]

Answer:

-21

Step-by-step explanation:

-3a + 5b - c

-3(2)+5(-1)-(10)=-21

Answer:

24 1/3

Step-by-step explanation:

long division

Answer:

area of ABC=1/2 b×h=1/2×20×6=30m²

Answer:

60 m^2

Step-by-step explanation:

( Base * Hight / 2 = Area)

20 * 6 = 120

120 / 2 = 60

Answer:

44-7x

Step-by-step explanation:

9514 1404 393

Answer:

  6.2 ft

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

  3000 ft³ = π(2h)²h

  (3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

  h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.

Answer: Allie made a 240- mile trip in just 4 hours.

Step-by-step explanation:

Answer:

Option B. 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60 °

Opposite (Fe) = 4√3

Adjacent (DE) = x

The value of x can be obtained by using the Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 60 = 4√3 / x

√3 = 4√3 / x

Cross multiply

√3 × x = 4√3

Divide both side by √3

x = 4√3 /√3

x = 4

Thus, the length of DE is 4

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct

Answer:

I dont speak english so i dont know whats is your question

Answer:

2.56

Step-by-step explanation:

Answer:

it would be 2.56

Step-by-step explanation:

256 ÷ 100 = 2.56

Step-by-step explanation:

substitute the given value in the standard form equation. it will give you the slope intercept form

Answer:

7

Step-by-step explanation:

multiplying exponents adds them together... 5+2=7

Answer:

-5<n≤2

Step-by-step explanation:

Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

Answer:

1. 170/490 and 60/505

2. 320/490 and 445/505

Step-by-step explanation:

No options were given, but the question can still be answered

Given

[tex]\begin{array}{cccc}{} & {\ge 1\ tattoo} & {0\ tattoo} & {Row\ Total} & {18 -29} & {170} & {320} & {490} & {30 - 50} & {60} & {445} & {505} & {Column\ Total} & {230} & {765} & {995}\ \end{array}[/tex]

Required

Which proportion best compares age and tattoos?

The row data represents the age range of each group while the column data represents the amount of tattoo by each group.

So, to make comparison:

You simply pick a cell data and compare it to the row total.

Take for instance

For those who have at least 1 tattoo. The proportion to use are:

170/490 --- For age range: 18 - 29

60/505 --- For age range: 30 - 29

For those without tattoo. The proportion to use are:

320/490 --- For age range: 18 - 29

445/505 --- For age range: 30 - 29

Answer: 15

Step-by-step explanation:

The 11th term of arithmetic progression is 43. We can use this to get the common difference which will be:

a + (n - 1)d = 43

where,

a = first term = 3

n = nth term = 11

d = common difference = unknown

Therefore, a + (n - 1)d = 43

3 + (11 - 1)d = 43

3 + 10d = 43

10d = 43 - 3

10d = 40

d = 40/10

d = 4

Common difference = 4

Therefore, 4th term will be:

= a + (n - 1)d

= a + (4-1)d

= a + 3d

= 3 + 3(4)

= 3 + 12

= 15

The 4th term is 15

Answer:

1.67square foot/hr

Step-by-step explanation:

If a fertilizer covers 5/6 square foot in 1/2 hour, then;

5/6 square foot  = 1/2 hour

To determine the unit rate, we will say;

x square foot = 1 hr

Divide both expressions

5/6x = 1/2

5 * 2 = 6x

10 = 6x

x = 10/6

x = 1.67square foot/hr

Hence the unit rate is 1.67square foot/hr

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

Then you need to plug numbers in for x

Solution :

It is given that :

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So number of students majoring in psychology  those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

    [tex]$=\frac{80+115}{250}$[/tex]

    = 0.78

b). Psychology major [tex]$=\frac{80+20}{250}$[/tex]

                                   = 0.4

c). Probability of the students who are happy with the communication as the choice of major = [tex]$\frac{115}{250}$[/tex] = 0.46

d). Students unhappy with their choice of major given that the student is psychology major = [tex]$\frac{20}{250}$[/tex]  =  0.018

a) Probability of the students happy with their major choices is 0.78.

b) Probability of Psychology major is 0.4

c) Probability of the students who are happy with the communication as the choice of major is 0.46.

d) Students unhappy with their choice of major given that the student is psychology major is 0.018

Given:

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So, number of students majoring in psychology those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So, number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

[tex]=\frac{80+115}{250} =0.78[/tex]

b). Psychology major

[tex]\frac{80+20}{250} =0.4[/tex]

c). Probability of the students who are happy with the communication as the choice of major =[tex]\frac{115}{250} =0.46[/tex]

d). Students unhappy with their choice of major given that the student is psychology major =[tex]\frac{20}{250} =0.018[/tex]

Learn more:

brainly.com/question/17349827

Answer:

y = 3/5 + x

'y' = # laps Eric swam

Step-by-step explanation:

Answer:

                                                             .

Step-by-step explanation:

                                                                  .

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

Answer:

80.11 inches

Step-by-step explanation:

The formula to finding the circumference of a circle is:

C = 2πr (C = circumference, π = pi, r = radius)

Replace r with the radius:

C = 2π(12.75)

Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded

to the nearest hundredth is 80.11

Answer:

(A) 490ft.

(B) 2.8 miles

Step-by-step explanation:

Important points to note:

- The limestone layer is thought or assumed to slope downward in a straight line.

- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.

- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.

(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?

The expected depth of the limestone layer is:

2 miles + 3 miles = 5 miles

220ft + 270ft = 490ft

(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?

If 490ft  ~  5 miles

then 275ft  ~  K miles

K = [275 x 5] / 490  = 2.80612245 miles

Rounding to 1 decimal place, the distance is 2.8 miles.