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4 years ago

A(3x-8)=b-18x what is a value? what is b value?

1 answer:

5 0

We have that
<span>a*(3x-8)=b-18x
3ax-8a=18x+b
</span><span>The only way for this to happen (non-trivially) is if the coefficients of x are equal, and the constant terms are equal
</span>so
3ax=18x-----> 3a=18--------> a=6
-8a=b---------> b=-8*6-------> b=-48

the answer is
a=6
b=-48

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The average number of red blue and green bags is 136. They are 30 more red than blue bags. There are 15 less green than blue. Ho

Andrews [41]

Answer:

The Number of green bag is 116

Step-by-step explanation:

Given as :

The average number of red , blue and green bags = 136

I.e $\frac{red + blue + green}{3}$ = 136

Or, red + blue + green = 136 × 3

Or, red + blue + green = 408

Number of red bag = Number of blue bags + 30

Number of green bag = Number of blue bags - 15

Or, ( blue bag + 30 ) + blue bag + ( blue bag - 15 ) = 408

Or, 3 blue bag = 408 - 15

Or, Number of blue bags = 131

Number of red bag = Number of blue bags + 30

Number of red bag = 131 + 30

Or, Number of red bag = 161

Number of green bag = Number of blue bags - 15

Or, Number of green bag = 131 - 15

Or, Number of green bag = 116

Hence The Number of green bag is 116 Answer

3 0

3 years ago

The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent

Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. $n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation,

E = Margin of error .

z* = Critical value

2. $n=p(1-p)(\dfrac{z^*}{E})^2$ , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

$n=0.25(\dfrac{z^*}{E})^2$

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

$n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2$

$n=0.21(0.79)(65.3333)^2$

$n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709$ [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0

4 years ago

The number 100 ten times as much as 1tenth1/10

Afina-wow [57]

The answer is 0.1 i think

4 0

4 years ago

Bethany wants to hang four rectangular picture in a row on a wall so that the horizontal space between each picture is always th

Vanyuwa [196]

This might not be right sorry :

14+14=28
79-28=51

9x4=36
51-36=15
15÷3=5

therefore (I think) there should be 5 inches between each picture.

7 0

4 years ago

During the construction of a skyscraper, a bolt fell from 400 ft. What was the speed of the bolt when it hit the ground?

lions [1.4K]

Answer:

160

Step-by-step explanation:

v^2 = 64d

d = 400

v^2 = 64*400

v = sqrt of (64*400) = 160

4 0

3 years ago