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Rina8888 [55]
3 years ago
10

The Morales family is remodeling their home. They want to remove the wall between the living room. and dining room to make one b

ig living space. ​

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

Area of living room

= 20(x+5)

= 20x +100

Area of dining room= 20x

Total area

= 20x +100 +20x

= 40x +100

Total perimeter (after wall is removed)

= 2(20) + 2( x+x+5)

= 40 + 2(2x+5)

= 40 +4x +10 (expand)

= 4x +50 (simplify)

Step-by-step explanation:

Area of rectangle= length × breadth

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The weight of an object on Earth varies directly as the weight of the same object on the moon. A 300 pound object on Earth would
slava [35]

Answer: 12 pounds.

Step-by-step explanation:

To solve this question, we'll use the direct proportion which is.

y = kx

Where,

y = weight on moon = 48 pounds

x = weight on Earth = 300 pounds

k = Unknown

y = kx

48 = 300k

k = 48/300

k = 0.16

The weight that a 75 pound object on Earth would weigh on the moon will be:

y = kx

where,

y = weight on moon = Unknown

k = 0.16

x = weight on Earth = 75 pounds

y = kx

y= 0.16 × 75

y = 12 pounds

The weight on the moon will be 12 pounds.

7 0
3 years ago
For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les
kaheart [24]

Answer:

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The margin of error for this case is given by:

ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

And replacing we got:

ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259

And replacing into the confidence interval formula we got:

0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941

0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459

And the 95% confidence interval would be given (0.4941;0.5459).

Step-by-step explanation:

Data given and notation  

n=1000 represent the random sample taken    

\hat p=0.52 estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage

\alpha=0.05 represent the significance level (no given, but is assumed)    

Solution to the problem

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The margin of error for this case is given by:

ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

And replacing we got:

ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259

And replacing into the confidence interval formula we got:

0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941

0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459

And the 95% confidence interval would be given (0.4941;0.5459).

5 0
3 years ago
Correct the error. What should the line actually be?
Natali5045456 [20]

Answer:

A line....

Step-by-step explanation:

Plz be more clear with your question!

Thank You

3 0
3 years ago
  Why only one of the intercepts is enough to determine a line function when the slope is constant?
dybincka [34]

Answer:

Step-by-step explanation:

none of above

Ur welcome

5 0
3 years ago
Evaluate the expression for x=5, y=-3 and z=7 *<br> 7 – 3y – 3z
kobusy [5.1K]

Answer:

-5

Step-by-step explanation:

i tried my best but this is the result

7 0
3 years ago
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