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andriy [413]
3 years ago
12

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room

are in the ratio 4 : 3 : 2. The combined area of these three rooms is 189 square feet. What is the area of each room? (Ex. Kitchen Area=______, Playroom Area=______, Dining Room=_____) *
Mathematics
1 answer:
lozanna [386]3 years ago
5 0

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 and that the combined area of these three rooms is 189 square feet.

Therefore, Kitchen area = 4/(4+3+2) × 189 = 4/9 × 189 = 84 square feet

Playroom area = 3/(4+3+2) × 189 = 3/9 × 189 = 63 square feet

Dining room area = 2/(4+3+2) × 189 = 2/9 × 189 = 42 square feet

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On a map,1/4 inch represents 16 actual miles.two towns that are 2 3/4 inches apart on this map are how many actual miles apart?
Alex73 [517]

Answer:

176 miles

Step-by-step explanation:

  • you have to know how many 1/4ths are in 2 3/4
  • 4×2= 8 +3 = 11 so 11/4ths.
  • there are 11 , 1/4ths
  • determine the total mileage by multiplying 11 by 16
  • 11×16=176
  • 176 miles in total

8 0
3 years ago
Can you put 4/0 on a number line
borishaifa [10]

Answer:

no you can not but 4/0 on a number line

5 0
3 years ago
Dakota makes a salad dressing by Combining 7 1/3 fluid ounces of oil and 2 1/8 fluid ounces of vinegar in a jar. she then pours
pshichka [43]
7 1/3 + 2 1/8 = 9 11/24

9 11/24 - 2 1/4= 7 5/24

Your answer is 7 5/24


Hope I helped!

Let me know if you need anything else!

<span>~ Zoe</span>
6 0
3 years ago
The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H
LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q.  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample average mean response = 9 hours

            \sigma  = population standard deviation = 12.6

            n = sample of legal professionals = 250

            \mu = mean number of hours a legal professional works

<em>Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < -1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                                       = [ 9-1.96 \times {\frac{12.6}{\sqrt{250} } } , 9+1.96 \times {\frac{12.6}{\sqrt{250} } } ]

                                       = [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0
3 years ago
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 3.5 centimet
LUCKY_DIMON [66]
I don't know if it's right but this is what I did. the rounding might be a little different.


(1 + 3.5)  \div 2 \times x = 8.1
4.5   \div 2 = 2.3
2.3x = 8.1
8.1 \div 2.3 = 3.5
x=3.5 cm.
5 0
4 years ago
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