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Arte-miy333 [17]
3 years ago
8

the Galveston-Port Bolivar Ferry takes cars across Galveston Bay. One day, the ferry transported a total of 685 cars over a 5 ho

ur period. The ferry took the same number of cars each hour. How many cars did it take each hour?
Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

137 cars per hour

Step-by-step explanation:

Since there were 685 cars all together you have to do 685 divided by 5 so that you can get your answer of 137 cars per hour

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In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go
Licemer1 [7]

Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259

Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:

1) Find the proportion p=\frac{x}{n}, in which x is the number of people with the desired condition. In our case, p=0.9;

2) Calculate margin of error, i.e.:

z\sqrt{\frac{p(1-p)}{n}}

z is z-score, which for a 95% confidence, equals 1.96;

Substituting with the data given:

1.96(\sqrt{\frac{0.9(1-0.9)}{514}}) = 0.0259

3) Write: p ± z\sqrt{\frac{p(1-p)}{n}}

In our case, the interval will be 0.9 ± 0.0259.

<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259

7 0
3 years ago
Clara has 8 coins worth 17¢. if the coins are all dimes and pennies, how many dimes and pennies does she have?
Sliva [168]
Let x = the number of dimes
Let y =  the number of pennies.

There are 8 coins, therefore
x + y = 8        (1)

The coins are worth 17 cents, therefore
10x + y = 17     (2)

Subtract equation (1) from equation (2).
10x + y - (x + y) = 17 - 8
9x = 9
x = 1

From (1), obtain
y = 8 -x = 8 - 1 = 7

Answer: 1 dime, 7 pennies.

4 0
3 years ago
Read 2 more answers
Does anyone know how to solve this? It’s really starting to stress me out.
bekas [8.4K]

Answer:

π − 12

Step-by-step explanation:

lim(x→2) (sin(πx) + 8 − x³) / (x − 2)

If we substitute x = u + 2:

lim(u→0) (sin(π(u + 2)) + 8 − (u + 2)³) / ((u + 2) − 2)

lim(u→0) (sin(πu + 2π) + 8 − (u + 2)³) / u

Distribute the cube:

lim(u→0) (sin(πu + 2π) + 8 − (u³ + 6u² + 12u + 8)) / u

lim(u→0) (sin(πu + 2π) + 8 − u³ − 6u² − 12u − 8) / u

lim(u→0) (sin(πu + 2π) − u³ − 6u² − 12u) / u

Using angle sum formula:

lim(u→0) (sin(πu) cos(2π) + sin(2π) cos(πu) − u³ − 6u² − 12u) / u

lim(u→0) (sin(πu) − u³ − 6u² − 12u) / u

Divide:

lim(u→0) [ (sin(πu) / u) − u² − 6u − 12 ]

lim(u→0) (sin(πu) / u) + lim(u→0) (-u² − 6u − 12)

lim(u→0) (sin(πu) / u) − 12

Multiply and divide by π.

lim(u→0) (π sin(πu) / (πu)) − 12

π lim(u→0) (sin(πu) / (πu)) − 12

Use special identity, lim(x→0) ((sin x) / x ) = 1.

π (1) − 12

π − 12

3 0
3 years ago
The sum of twice a<br> number and 31
Andreyy89

Answer:

Let the unknown number be x ;

2(x) +31\\=2x+31

Step-by-step explanation:

3 0
3 years ago
Pls help, question on picture, will do brainliest if right<br> no links!!!!!
Flura [38]
Sin = opposite/hypothenuse
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse

12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20

You know hypothenuse is 20
Opposite/hypothenuse

Solution: 16/20
Simplify if you need to (4/5)
5 0
3 years ago
Read 2 more answers
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