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sweet [91]
3 years ago
12

A taxi company charges $3 per ride plus $1.50 fo each mile traveled. Andrea wants to spend no more than $24 on the taxi ride. Ho

w many miles can Andrea travel? Select all that apply.
A. 18 miles
B. 16 miles
C. 14 miles
D. 12 miles
E. 10 miles
Please show your work
Mathematics
1 answer:
andreev551 [17]3 years ago
6 0
The answer would be C because 24-3=21 then you would do 21/1.50=14 
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Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm, and the distri
Ostrovityanka [42]

Answer:b. 0.22

Step-by-step explanation:

Since the lengths of adult walleye fishes are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = lengths of walleye fishes.

µ = mean length

σ = standard deviation

From the information given,

µ = 44 cm

σ = 4 cm

We want to find the probability or fraction of fishes that are greater than 41 cm in length. It is expressed as

P(x > 41) = 1 - P(x ≤ 41)

For x = 41,

z = (41 - 44)/4 = - 0.75

Looking at the normal distribution table, the probability corresponding to the z score is 0.22

4 0
3 years ago
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
8. In a large population, 63% of the people have been vaccinated. If 4 people are randomly selected, what is the probability tha
Ludmilka [50]
The probability that none of the four have been vaccinated is
  (1-0.63)^4 = 0.01874161

The probability that at least one has been vaccinated is the complement of this,
  ≈0.9813
3 0
3 years ago
Sami cut 6 and three fourth inches off a long roll of paper if the row 36 and one third inches long how long was the original ro
cestrela7 [59]

Answer:

43 1 ÷12

Step-by-step explanation:

The computation of the length of the original roll of papers is shown below:

36 1 ÷3 and 6 3 ÷ 4 together

Now convert the above fractions into a number

36 1 ÷ 3 = 109 ÷3

And,

6 3 ÷4 = 27 ÷ 4

Now add these two numbers i.e.

109 ÷3  + 27 ÷ 4

= 436 + 81 ÷ 12

= 517 ÷12

= 43 1 ÷12

6 0
3 years ago
Don’t understand please help asap
IceJOKER [234]

First you have to solve both inequalities,

3x-1>8

3x>9

x>3

and the other one

2x≤4

x≤2

then you graph each one on the number line

the graph says or, so the solution can satisfy either equation

the solution would be all real numbers except three

the way to write it is x≠3

3 0
3 years ago
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