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2 years ago

Study the given values of the data and then choose the best suitable answers for all the questions.

Mathematics

1 answer:

german2 years ago

7 0

Answer:

Mean = 18 and Mode = 10

Step-by-step explanation:

The given data is :

10,10, 18, 24,28

We can find the mean of the data,

$Mean=\dfrac{\text{sum of observations}}{\text{total no of observations}}$

$M=\dfrac{10+10+18+24+28}{5}\\\\=18$

Mode is the repetition of data.

Here, 10 repeats 2 times.

So, the mode is 10.

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James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 in his work is shown below

wel

Answer:

13.5cm

Step-by-step explanation:

V=Bn

Step 1: 3245 - 12h

Step 2: 324 = 24 sh

324 24

Step 3: 245 245

Step 4: h-13.5

inches

What is the first error that James made when calculating the height of the cylinder?

In step 1, he substituted into the volume formula incorrectly.

In step 2, he calculated 122 incorrectly. It should be 144 rather than 24.

In step 4, the should have canceled, making the correct answer 13.5 cm.

James calculated the height of the cylinder correctly

7 0

3 years ago

Read 2 more answers

PLEASE HELP DUDE. I JUST NEED THE ANSWER .A scuba diver is 356 feet below the surface of the water. The angle of depression the

Nataly_w [17]

The answer is A......

6 0

3 years ago

A boy has twice as many nickels as he has pennies, and he has 5 less dimes than nickels. If he has $4.46 in all, how many coins

Zarrin [17]

N=2p
n/2=p

n-5=d

10d+5n+1p=446
subsitute n/2 for p
subsitute n-5 for d
10(n-5)+5n+n/2=446
times 2 both sides
20(n-5)+10n+n=892
expand
20n-100+10n+n=892
31n-100=892
add 100 both sides
31n=992
divide both sides by 31
n=32

subsitute back

n/2=p
32/2=16=p

n-5=d
32-5=d=27

27 dimes
16 pennies
32 nickles

7 0

2 years ago

The ratio of 6 hours and 48 minutes in simplest form is (I need this quickly)

julsineya [31]

The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)

7 0

2 years ago

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

2 years ago

Read 2 more answers