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3 years ago

3/8 divided by 2/3 in simplest form

Mathematics

2 answers:

Murrr4er [49]3 years ago

7 0

Answer:

9/16 in fraction form and 0.5625 in decimal form

romanna [79]3 years ago

4 0

Answer:

9/16 is the answer

Step-by-step explanation:

3/8÷2/3 =9/16

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Suppose a polling agency reported that 44.4% of registered voters were in favor of raising income taxes to pay down the nationa

g100num [7]

Answer:

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Step-by-step explanation:

Step(i):-

Given sample proportion

p⁻ = 44.4 % = 0.444

Random sample size 'n' = 1049

Given margin of error for 95% confidence level = 3 % = 0.03

Step(ii):-

95% of confidence interval for the proportion is determined by

$(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })$

we know that

Margin of error for 95% confidence level is determined by

$M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }$

Step(iii):-

Now

95% of confidence interval for the proportion is determined by

$(p^{-} - M.E, p^{-} + M.E)$

Given Margin of error

M.E = 0.03

Now 95% of confidence interval for the proportion

$(0.444 - 0.03, 0.444+ 0.03)$

(0.414 ,0.474)

Conclusion:-

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

6 0

3 years ago

The highest temperature ever recorded in Death Valley, California, was 121°, while the lowest ever recorded there was 13° below

s344n2d4d5 [400]

Answer:

The answer is C

Step-by-step explanation:

Remember it says 13' below zero, and 121' is the highest temperature.

7 0

3 years ago

Read 2 more answers

Isabel graphed the following system of equations.

igor_vitrenko [27]

Answer:

Step-by-step explanation:

Simplified the following system of equations into a linear equation.

Graphed (plot the points) the linear equation onto the graph.

To get the solution (2,-2) (x,y)she went positive 2 to the right and -2 down.

4 0

3 years ago

Wilma can mow a lawn in 60 minutes. Rocky can mow the same lawn in 40 minutes. How long does it take for both Wilma and Rocky to

UNO [17]

<h3>Answer: 24 minutes</h3>

===================================================

Explanation:

Let's say the lawn is 120 square feet. I picked 120 as it is the LCM (lowest common multiple) of 60 and 40.

Since Wilma can mow the lawn in 60 minutes, her rate is 120/60 = 2 sq ft per minute. In other words, each minute means she gets 2 more square feet mowed. Rocky can do the full job on his own in 40 minutes, so his rate is 120/40 = 3 sq ft per minute.

Their combined rate, if they worked together (without slowing each other down), would be the sum of the two rates. So we get 2+3 = 5 sq ft per minute as the combined rate. The total time it would take for this 120 sq ft lawn is 120/5 = 24 minutes.

--------------------------

Another approach

Wilma takes 60 minutes to do the full job, so her rate is 1/60 of a lawn per minute. Rocky's rate is 1/40 of a lawn per minute. Their combined rate is

1/60 + 1/40 = 2/120 + 3/120 = 5/120 = 1/24 of a lawn per minute

x = number of minutes

(combined rate)*(time) = number of jobs done

(1/24)*x = 1

x = 1*24

x = 24 is the time it takes if they worked together without getting in each other's way.

Effectively, we are solving the equation

1/A + 1/B = 1/C

with

A = time it takes Wilma to do the job on her own

B = time it takes Rocky to do the job on his own

C = time it takes the two working together to get the job done

The equation above is equivalent to C*(1/A + 1/B) = 1 or (1/A + 1/B)*C = 1.

So basically you find the value of 1/A + 1/B, then find the reciprocal of this to get the value of C.

3 0

4 years ago

Joan gets $1,000 paycheck each month. She saves $50 from each paycheck. What percent of her paycheck does Joan save?

kirill [66]

Answer:

The percentage of paycheck Joan saves is 5% .

Step-by-step explanation:

Given as :

The paycheck that Joan gets each months = x = $1,000

The money that Joan saves from each paycheck = y = $50

Let The percentage of paycheck Joan saves = z%

Now, According to question

The percentage of paycheck Joan saves = $\dfrac{\textrm money that Joan saves from each paycheck}{\textrm total paycheck money}$ × 100

Or, z = $\dfrac{y}{x}$ × 100

Or, z = $\dfrac{50}{1000}$ × 100

Or, z = 5%

So, The percentage of paycheck Joan saves = z = 5%

Hence,The percentage of paycheck Joan saves is 5% . Answer

3 0

3 years ago