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3 years ago

The median size of a new single family home grew from 1727 ft^2 in 1996 to 2129 ft^2 in 2009. What is the percent of increase?

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

(2129-1727)/1727=0.232
The percentage of increase is 23%.

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How do u work this problem out

charle [14.2K]

Okay what problem is it that you need help with??

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3 years ago

Please have an explanation with it

Nataly_w [17]

Hello from MrBillDoesMath!

Answer:

The protein/calories ratios are equivalent

Discussion:

For the first column

Protein/calories = 24/96 = 1/4

For the second column

Protein/calories = 28/112 = 1/4

So the protein/calories ratios are equivalent

Thank you,

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7 0

3 years ago

The fare for an Uber is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the school center was $11.50.

Vinvika [58]

Answer:

13 miles

Step-by-step explanation:

The fare for the Uber

Cost= 5+ .5 m

where m is the number of miles

We spent 11.50

11.50 = 5 + .5 m

Subtract 5 from each side

11.5 -5 = 5+.5m -5

6.50 = .5 m

Divide by .5 on each side

6.5/.5 = .5m/.5

13 = m

We went 13 miles

6 0

3 years ago

What are the focus and directrix of the parabola with the equation y=1/16x^2

Vlada [557]

Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4

8 0

3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

3 years ago