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2 years ago

What is 6.5% of 4300 round to the nearest hundredth

Mathematics

1 answer:

muminat2 years ago

5 0

Answer:

279.50

Step-by-step explanation:

4,300 x 0.065 = 279.50. Hope this helps!

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Find the diameter of a circle with the known circumference of 314” use the formula d= C

siniylev [52]

The complete formula for circumference is:

$C=\pi d$

Since we know the circumference of the circle is 314 inches, we can then solve for d, the diameter:

$314=\pi d$

Using 3.14 for pi, we get:

$314=(3.14)d$

Then solve for d:

$d=100$

And now we know the diameter of the circle is 100 inches.

4 0

3 years ago

A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t

Aleksandr [31]

Answer:

y = -190 cos(π t / 120) + 195

Step-by-step explanation:

General form of a sinusoidal function: y = A cos(Bt - C) + D

Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.

A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.

2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.

C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.

D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.

Your final function will be:

y = -190 cos(π t / 120) + 195

7 0

3 years ago

A number, x, rounded to 2 significant figures is 1300 Write down the error interval for x.

nikitadnepr [17]

Answer:

$[1250,1350)$ .

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., $1250\leq x\leq 1300$ ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., $1300\leq x$ ...(2)

On combining (1) and (2), we get

$1250\leq x < 1350$

1350 is not included in the error interval for x.

Interval notation is $[1250,1350)$ .

Therefore, the error interval for x is $[1250,1350)$ .

7 0

3 years ago

A 2-gallon container of disinfectant costs $24.32. What is the price per cup?

max2010maxim [7]

.76 cents per cup.

Their are 16 cups in a gallon.
2 gallons would be 32cups.
Divide 24.32 by 32.

0.76 is your answer

4 0

1 year ago

Read 2 more answers

if 368 teenagers in a population of 4,310 report that they have smoked at least one cigarette during the past year, to one decim

allochka39001 [22]

Divide the amount of teenagers that smoked by the total population:

$368 \div 4310 = 0.0853$

Multiply this decimal by 100 to convert into a percentage:

$0.0853 \times 100 = 8.53$

To round to the nearest decimal place, look at the hundredths value:

8.53
3 > 5
8.53 -> 8.5

8.5% of teenagers reported that they smoked at least one cigarette.

4 0

2 years ago