What's the nearest integer and the nearest tenth

Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles

Alja [10]

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

7 0

3 years ago

A young couple purchases their first new home in 2011 for $95,000. They sell it to move into a bigger home in 2018 for $105,00

mart [117]

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

$y=ab^x$ ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

$y=95000b^x$ ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

$105000=95000b^7$

$\dfrac{105000}{95000}=b^7$

$\dfrac{21}{19}=b^7$

Taking 7th root on both sides, we get

$\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b$

Put $b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}$ in (ii).

$y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x$

$y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$

Therefore, the required exponential model for the value of home is $y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$ , where x is the number of years after 2011.

5 0

2 years ago

An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, a

JulsSmile [24]

Answer:

There was no error

Step-by-step explanation:

There are two types of statistical errors, the type 1 error and the type 2 error. In this case we refute the null hypothesis when the hypothesis is, in fact, false, because the mean process is 9 days instead of 7. Therefore we made no errors.

If the null hypothesis were True, a type 1 error would have ocurred. If the null hypothesis were false and we didnt refute it, then a type 2 error would have ocurred.

4 0

2 years ago

Please help it’s a timed exam

lina2011 [118]

Answer:

Here 86 is answer.

So you better choose 86.

7 0

2 years ago

When an octave is divided into twelve equal steps, a chromatic scale results. The ratios between sucessive notes is

alukav5142 [94]

Answer: They would be A.

Step-by-step explanation: Don't take my word for it 100%

7 0

3 years ago