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adoni [48]
2 years ago
10

Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1

mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?

2. Explain your answer to question
Mathematics
1 answer:
Ray Of Light [21]2 years ago
7 0
1. A would be more difficult to hike up.

2. Because it has more miles than B does and the elevation is lowers
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A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
gulaghasi [49]
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50

so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)

The margin of error for population proportion is calculated as:

E=z* \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
 \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\  \\ 
n= p(1-p)* (\frac{z}{E})^{2}  \\  \\ 
n=271

This means 271 students should be included in the sample
5 0
2 years ago
Which statement is true about the discontinuities of the function f(x)? F (x) = StartFraction x minus 5 Over 3 x squared minus 1
balandron [24]

Question:

Which statement is true about the discontinuities of the function f(x) = \frac{x-5}{3x^2-17x-28}

A)There are holes at x = 7 and .

B)There are asymptotes at x = 7 and .

C)There are asymptotes at x = –7 and .

D)There are holes at (–7, 0) and .

Answer:

B)There are asymptotes at x = 7 and (x = \frac{-4}{3})

Step-by-step explanation:

Given:

f(x) = \frac{x-5}{3x^2-17x-28}

Required:

Find the true statement

f(x) = \frac{x-5}{3x^2-17x-28}

We'll first factorize the denominator.

f(x) = \frac{x-5}{(3x+4)(x-7)}

Make x subject of the formula in (3x+4) and (x-7):

3x + 4 =

3x = -4

Divide both sides by 3:

x = \frac{-4}{3}

x - 7

x = 7

Now check for the limit when (x = \frac{-4}{3}) and (x = 7)

lim f(x) when   (x = \frac{-4}{3}) = ±∞

lim f(x) when (x=7) = ±∞

Sinve they both make the denominator tend to zero, they are asymptotes

Therefore, there are asymptotes at (x = \frac{-4}{3}) and x=7

Option B is correct

6 0
2 years ago
The staff at a company went from 40 to 29 employees. what is the percent decrease in staff
topjm [15]
Number of employees outside of company=40-29=11

we can calculate the percent decrease in staff by the rule of 3

40 employees-----------------100%
11 employees----------------   x

x=(11 employees*100%) / 40 employees=27.5%

The percent decrease in staff was: 27.5%
5 0
2 years ago
Given the function f(x), whose graph is shown below, place the black draggable dot at the point that corresponds to f−1(−4).
astraxan [27]

Answer:eyys

Step-by-step explanation:

yes

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7 0
2 years ago
Angle PQR is formed by segments PQ and QR on the following coordinate grid:
viva [34]

Answer:

m∠P′Q′R′ = m∠PQR

Step-by-step explanation:

8 0
2 years ago
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