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2 years ago

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Angelo rode his bike around a bike trail that was 1/4 of a mile long. He rode his bike around the trail 8 times. Angelo says he

rode a total of 8/4 miles. Teresa says that he is wrong and he actually rode 2 miles. Who is correct?

2 answers:

Leno4ka [110]2 years ago

7 0

Angelo is correct

Hope this helps!

Tresset [83]2 years ago

3 0

Angelo is right!!

Hope this helps!

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A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

lyudmila [28]

<u>Answer:</u>

$f(x)=120000 \times (1.055)^{x}$

<u>Step-by-step explanation:</u>

We are given that the present value for the home is $120,000 and the rate of interest is 5.5% i.e. 0.055.

We will use the following formula:

$f(x)=P \times (1+r)^{x}$

where $P$ is the present value, $r$ is the rate of interest and $x$ is the number of years.

Substituting the values in the above formula to get:

$f(x)=120000 \times (1+0.055)^{x}$

$f ( x ) = 120000 \times ( 1.055 ) ^ { x }$

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2 years ago

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Focus groups of 15 people are randomly selected to discuss products of the Yummy Company. It is determined that the mean number

Morgarella [4.7K]

Answer:

Yes, 15 people would be unusual as it falls outside of 2 standard deviation of mean.

Step-by-step explanation:

Consider the provided information.

The mean number (per group) who recognize the Yummy brand name is 12.5, and the standard deviation is 0.58.

Mean = μ= 12.5

σ = 0.58

n = 15

$\mu\pm2\sigma=12.5\pm 2(0.58)\\\mu\pm2\sigma=12.5\pm1.16\\\mu\pm2\sigma=[11.34, 13.66]$

Yes, 15 people would be unusual as it falls outside of 2 standard deviation of mean.

6 0

2 years ago

The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot p

Radda [10]

Answer:

<h2>B. 30 oz less than.</h2>

Step-by-step explanation:

We have two dot plots, one for the Basketball Team and one for the Soccer Team.

Notice that there are 16 girls in the Basketball Team and 16 girls in the Soccer Team.

Basically, the median is between the 8th and 9th term in each data set. Specifically, is the mean between them.

<h3>For Basketball Team</h3>

$m_{basketball} =\frac{32+32}{2}=32$

Because the 8th and 9th term are both equal to 32.

<h3>For Soccer Team</h3>

$m_{soccer}=\frac{64+64}{2}=64$

Because the 8th and 9th term are both equal to 64.

If we subtract them to find the difference, it would be

$\Delta m=64-32=32$

Basically, the Soccer Team drank 32 more ounces of water than the Basketball Team.

Therefore, the right answer is B, that's the closest one.

4 0

2 years ago

Read 2 more answers

Given f(x) = 4x4 + 5x3 – 15x2 – 45, find f(–3).

poizon [28]

Answer:

C)

f(–3) = 9

Step-by-step explanation:

Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45

f(-3) means let x = -3

f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45

=4(81) +5(-27) -15(9) -45

= 324 - 135 - 135 -45

=9

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2 years ago

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Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h2) to estimate the firs

strojnjashka [21]

Answer:

Answer has explained below.

Step-by-step explanation:

Consider the function is:

F(x) = 25x3 – 6x2 +7x -88

Differentiate with respect to x, we get

F’(x) = 25. 3x2 – 6.2x + 7

= 75x2 – 12x +7

At x = 2, we have

F (2) = 25(2)3 – 6(2)2 + 7(2)-88

=102

And f’(2) = 75(2)2 – 12 (2) +7

=283

Now, calculate forward divided difference as:

xi + 1 = xi + h

=2 + 0.25

=2.25

F (xi + 1) = f (2.25) = 25 (2.25)3 – 6(2.25)2 +7(2.25) -88

=182.21

f’(2) = f(2.25) – f(2) / 0.25 = 182.21 – 102 / 0.25

= 320.84

Єt = 283 – 320.8 / 283 = -13.36%

Now calculate backward divided difference:

Xi-1 = xi –h = 2 – 0.25 = 1.75

F(xi-1)= f(1.8) = 25 . (1.8)3 -6 (1.8)2 + 7 (1.8) – 88

= 50.96

F’(2) = f(2) – f(1.8) / 0.25 = 102 – 50.96 / 0.25 = 204.16

Єt = 283 – 204.16 / 283 = 27.86%

Finally, centered divided difference is obtain by inserting f(xi+1) and f (xi-1):

F’(2) = f(2.25) – f(1.8) /2 x 0.25 = 320.84 -50.96 / 0.5 = 539.68

Єt = 283 – 539.68 / 283 = -90.7%

6 0

2 years ago