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3 years ago

Fran wants to rent a scooter for the afternoon, but she can spend no more....

Mathematics

2 answers:

Marrrta [24]3 years ago

8 0

It is 6 hour because if you multiply 7.50 which is 35.50 then add 12.50 that will come out to 50

MariettaO [177]3 years ago

3 0

Answer:

12.50 + (7.5)(h-1) ≤ 50

6 hours or less

Step-by-step explanation:

The first hour is 12.50. Each additional hour is 7.50

Let h be the number of hours

12.50 + (7.5)(h-1)

We use h-1 since the first hour is 12.50

This must be less than or equal to 50

12.50 + (7.5)(h-1) ≤ 50

Now we solve the inequality

Subtract 12.50 from each side

12.50-12.50 + (7.5)(h-1) ≤ 50-12.50

(7.5)(h-1) ≤ 37.50

Divide by 7.5 on each side

(7.5)/7.5(h-1) ≤ 37.50/7.5

h-1 ≤ 5

Add 1 to each side

h-1+1 ≤ 5+1

h ≤ 6

We can only rent for 6 hours or less

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The fan below has been stretched open as far as it will go to form a semi-circle.

Komok [63]

Answer:

Area of each sector= $12.6cm^2$

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle= $\frac{1}{2}\pi r^2$

Using the formula

Area of fan= $\frac{1}{2}\pi (12)^2=72 \pi cm^2$

Area of each sector= $\frac{area\;of\;fan}{Total\;number\;of\;sectors}$

Area of each sector= $\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2$

Where $\pi=3.14$

Area of each sector= $12.56cm^2\approx 12.6 cm^2$

5 0

3 years ago

Suppose babies born in a large hospital have a mean weight of 3316 grams, and a standard deviation of 324 grams. If 83 babies ar

Anuta_ua [19.1K]

Answer: 0.129

Step-by-step explanation:

Let $\overline{X}$ denotes a random variable that represents the mean weight of babies born.

Population mean : $\mu= \text{3316 grams,}$

Standard deviation: $\text{324 grams}$

Sample size = 83

Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :

$P(|\mu-\overline{X}|>54)=1-P(\dfrac{-54}{\dfrac{324}{\sqrt{83}}}$

hence, the required probability = 0.129

5 0

3 years ago

Help math 10 points pls due in 5 min

ki77a [65]

Answer:

I don't understand what to do...

3 0

2 years ago

Read 2 more answers

A machine dispenses water into a glass. Assuming that the amount of water dispensed follows a continuous uniform distribution fr

natima [27]

Answer:

(a) 13 ounces.

(b) 1.732 ounces.

(c) 0.5

(d) 0.33

Step-by-step explanation:

Given : The amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces. So, a=10 and b=16.

(a) The average amount of water dispensed by the machine = (a+b)/2 = (10+16)/2 = 13 ounces.

(b) The standard deviation of the amount of water dispensed = $\int\limits^a_b {\frac{(b-a)^{2} }{12} } \, dx \\$ = √36/12 =√3 = 1.732 ounces.

(c) P (13 or more ounces will be dispensed in a given glass) = $\int\limits^a_b {f(x)} \, dx$ = $\int\limits^b_a {\frac{dx}{b-a} } \, dx$ = 0.5

(d) P (between 12 and 14 ounces will be dispensed in a given glass) = ( here a=12 and b=14.) $\int\limits^a_b {f(x)} \, dx$ = $\int\limits^b_a {\frac{dx}{b-a} } \, dx$ = 0.33

6 0

3 years ago

Whats the length of the flagpole in yards?

Virty [35]

The length of the flagpole is x - 5 yards

<h3>How to determine the length of the flagpole?</h3>

The area of the flagpole is given as:

Area = x^2 - 10x + 25

Expand the expression

Area = x^2 - 5x -5x + 25

Factorize the expression

Area = (x - 5)(x - 5)

Express as squares

Area =(x - 5)^2

The area of a square is

Area = Length^2

So, we have:

Length = x - 5

Hence, the length of the flagpole is x - 5 yards