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cupoosta [38]
3 years ago
11

Aubrey prepared 15 kilograms of dough after working 5 hours. How many hours did Aubrey work if she prepared 18 kilograms of doug

h?
Mathematics
2 answers:
kykrilka [37]3 years ago
8 0

Answer:

6 hours

Step-by-step explanation:

Set up a proportion:

15kg/5 hrs = 18kg/x hrs

Cross multiply:

5(18)=15x

90 = 15x

Divide by 15:

90/15 = x

6 = x

Alex17521 [72]3 years ago
4 0

Answer:

21

Step-by-step explanation:

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PLEASE HELP ME Simplify the expression.
finlep [7]

3x ∛(648x^4y^8)

= 3x * 6xy^2 ∛3xy^2

= 18x^2y^2 ∛3xy^2


Answer is D.

18x^2y^2 ∛3xy^2

8 0
4 years ago
Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that
IceJOKER [234]

Answer:

CI 99%   =  ( - 0.0009 ;  0.0541 )

Step-by-step explanation:

Sample 1 New Yorkers

sample size    n₁   =  558

x₁  =  193

p₁ = x₁/n₁   =  193/ 558      p₁ =  0.3458  q₁ =  1  - p₁   q₁  =  1  -  0.3458

q₁  =  0.6542

Sample 2  Californians

sample size     n₂  =  614

x₂  =  196

p₂  =  x₂/n₂  =  196 / 614    p₂ = 0.3192   q₂  =  1  -  p₂   q₂ =  1 - 0.3192

q₂ =  0.6808

CI 99 %    means   significance level α  = 1 αα%    α = 0.01

α/2  =  0.005

In z-table we look for z score for  0.005    z (c) =  2.57

CI 99 %  =  [  (  p₁  -  p₂ ) ±  z(c) * √( p₁*q₁)/n₁  + ( p₂*q₂)/n₂

p₁ - p₂  =  ( 0.3458 - 0.3192 )  =  0.0266

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =√  0.3458*0.6542)/558 +  0.3192*0.6808)/614

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   = √ 4.05*10⁻⁴   +  3.54 * 10⁻⁴

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =  10⁻² * √7.59    =  10⁻²  *  2.75

Then:

CI 99 %  =  0.0266  ±  2.75 * 10⁻²

CI 99%   =  0.0266   ±  0.0275

CI 99%   =  ( - 0.0009 ;  0.0541 )

6 0
3 years ago
Help? I’m in need of a answer with all the work shown. Someone? Anyone? Help me plz
Svetach [21]

Hello!

I will make approximations below to the nearest whole number

A. 2√32≈11

B. 5+√18≈9

C. √24≈5

D. √52-3≈4

E. 3√14≈11

F. √20+√26≈10

Based off of what we see here our even numbers are \boxed {D} and \boxed {F}.

I hope this helps!

4 0
3 years ago
Factorise each of the following.
kupik [55]

Step-by-step explanation:

a) 2(32-4j+8k-jk)

b)a(3a-ab+3c -bc)

c)m(2m - mn + 2n - n^2)

5 0
3 years ago
Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7
Anarel [89]

Answer:

Slope: = 3/10x

y-intercept: = -7/10

Step-by-step explanation:

10y = -3x - 7

y = -3/10x - 7/10

Slope: = 3/10x

y-intercept: = -7/10

8 0
3 years ago
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