Cards numbered 1 to 10 are placed on a table. Find probability of selecting (a) a composite number (b) a square number (c) a prime number (d) a triangular number (e) an even number.​

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Answer:

These relationships are realted because the variable is multiplied by ten to get the function.

9cm: 90mm

12 1/4cm: 122.5mm

50cm: 500mm

88.49cm: 884.9mm

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Answer:

5.6 x 10 2

Step-by-step explanation:

Answer:

5.6 × [tex]10^{2}[/tex]  - scientific notation

hope this answer helps you.....

Answer

X=10 and y=20

Step-by-step explanation:

since y=2x, you need to substitute that into the equation to get:

3x-(2x)=10

And evaluate:

x=10

Then substitute 10 into the equation: 2x=y:

2(10)=y

evaluate:

20=y

Now go back to the original equation to check your answer and substitute the values in:

3(10)-(20)=10

30-20=10

10=10

Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

P(A | B) = P(A∩B) / P(B)

Answer:

18 dollars

Step-by-step explanation:

32÷16=2

9×2=18

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

Answer:

[tex]75.4 in^3[/tex]

Step-by-step explanation:

First start with your cone volume equation which is

[tex]V=\pi r^2\frac{h}{3}[/tex]

Now plug in what you know

r=3

h=8

[tex]V=\pi (3)^2(\frac{8}{3})[/tex]

put in calculator and get

[tex]75.4 in^3[/tex]

Answer:

4876 acres

Step-by-step explanation:

212 x 23 = 4876

Answer:

Hello! The answer is in this link.

Step-by-step explanation:

8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!

Answer:

226.7 cm³

Step-by-step explanation:

The cone volume formula is V = (1/3)(base area)(height).

Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³

Answer:

d. 2x+3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

x=9/4,x=-9/4

Step-by-step explanation:

16x^2−81=0

Step 1: Add 81 to both sides.

16x^2−81+81=0+81

16x^2=81

Step 2: Divide both sides by 16.

16x^2/16 = 81/16

x^2 = 81/16

Step 3: Take square root.

x = ±√81/16

x=2.25,x=−2.25

Convert to fraction form.

x=9/4,x=-9/4

Answer:

the answer is 64

Step-by-step explanation:

becasue 4 time 4 is 16 and 16 times 4 is 64. You have to multiply 4 against itself 3 times.

Answer:

64

Step-by-step explanation:

4³ = 4 · 4 · 4 = 64

Answer:

It would be A. x < 6

Step-by-step explanation:

The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it

Answer:

Part A

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the given values we get;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the values gives;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore, we get;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

Answer: radius = 12, perimeter = 72

Step-by-step explanation:

We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.

so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6

long leg = 6√3

long leg = short leg √3

short leg = 6

hypotenuse (radius) = 2(short leg)

hypotenuse (radius) = 2(6)

hypotenuse (radius) = 12

The radius of hexagon ABCDEF = 12 inches

Perimeter = r (sides)

Perimeter = r (6)

Perimeter = 12 (6)

Perimeter = 72

The perimeter of hexagon ABCDEF = 72 inches

Answer:

-1,7

0,-3

1,-7

5,47

Step-by-step explanation:

-x-=+

Answer:

10 hours and 20 minutes.

Step-by-step explanation:

We can find out how many hours of sleep Tucker gets every night by counting in one-hour intervals.

One hour from 8:25 is 9:25.

9:25, 10:25, 11:25, 12:25, 1:25, 2:25, 3:25, 4:25, 5:25, 6:25.

This is 10 hours.

Now we count in ten-minute intervals to get to 6:45

6:35, 6:45.

This is 20 minutes.

Therefore, Tucker gets 10 hours and 20 minutes of sleep each night.

This is equivalent to 620 minutes.

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

Explanation:

The user purrugh has a great answer. I'll provide a slightly different approach.

The timespan from 8:25 PM to 9:00 PM is 35 minutes. Note how adding 35 minutes to 25 past the hour gets us to 25+35 = 60 minutes, so we're at the top of the hour now, and at 9 o' clock on the dot.

Then from 9 PM to 12 midnight is a gap of 3 hours (because 12-9 = 3). From midnight to 6 AM is another 6 hours. So far we have 3+6 = 9 hours, plus the additional 35 minutes mentioned earlier. The duration so far is 9 hours, 35 minutes. We still have to account for another 45 minutes, since we want to get to 6:45 AM and not 6:00 AM.

Note how 35+45 = 80, which is over 60. This means 35 min + 45 min = 80 min = (60 min) + (20 min) = 1 hr, 20 min

That "1 hr, 20 min" is added onto the "9 hours" from earlier and we arrive at 10 hours, 20 minutes as the final answer

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

Yet another approach is to do everything in minutes, and then convert to hours,minutes format at the very end.

Again the gap from 8:25 PM to 9:00 PM is 35 minutes. From 9 PM to midnight is 3 hours, or 3*60 = 180 minutes. We have a duration so far of 35+180 = 215 minutes.

From midnight to 6 AM is 6*60 = 360 minutes. The duration has been updated to 360+215 = 575 minutes. Finally, from 6 AM to 6:45 AM is the last gap of 45 min to get us to 575+45 = 620 minutes.

Tucker slept a total of 620 minutes. Let's convert that to hours,minutes format. Note how 620 = 600+20 and how 600/60 = 10. Meaning that 600 minutes = 10 hours. Therefore,

620 min = (600 min) + (20 min) = 10 hours, 20 minutes

Answer:

Step-by-step explanation:

the slope is uphill.. so we know it's positive

I can also see that that it's 1 up and 1 over so the slope is 1

the line also hits at -9   on the y axis

so

y = x - 9

Answer:

13

Step-by-step explanation:

Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Write your answer as a fraction or whole number.

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

Remember That The experimental probability is the number of times an event occurs out of the total number of trials.

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

So. Write the experimental probability as a fraction in simplest form: P(Cream-Filled Donuts) = Cream-Filled Donuts over / divided by the total (Cream-Filled Donuts/Total)

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

= 6/19

-------------------------------------------------------------------------------------------------------------So, The Answer Would Be 6/19

This is the right answer, I had the same question ^^

Answer:

Cos(x) = sqrt(55) / 8; tan(x) = 3/sqrt(55)

Step-by-step explanation:

Sine is opposite over hypotenuse. So we get that the opposite is 3 and the hypotenuse is 8. To find the adjacent (which we'll need for cosine and tangent), we can use pythagoras' theorem. Therefore, 8^2 = 3^2 + A^2, where A is the adjacent. A then must equal sqrt(64-9) = sqrt(55).

Cosine is adjacent over hypotenuse, which is then sqrt(55) / 8. Tangent is opposite over adjacent, which is then 3 / sqrt(55) or (sqrt55)*3/55

Answer:

Step-by-step explanation:

-To find the incline do:6^2+14^2=x^2

Than whatever your 6 and 14 equal, find the square root of it

Answer:

a

Step-by-step explanation:

Answer:

dfvgbhnm,kmjnhbgvx

Step-by-step explanation:

c vgbhjnmk,jnhbgvfc

Answer:

X=3

Step-by-step explanation:

I got a calculator.  

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

First you want to subtract 8 from 23

[tex]23-8=15[/tex]

Now take 15 and divide by 5

[tex]15/5=3[/tex]

3 is the final answer

Answer:

1/3 and 4/12

Step-by-step explanation:

Answer:

x = 7.55

Step-by-step explanation:

a = x

b = 8

c = 11

a² + b² = c²

x² + 8² = 11²

x² + 64 = 121

x² = 121 - 64

x² = 57

[tex]\sqrt{x^2} =\sqrt{57}[/tex]

x = 7.5498

Rounded to hundredths:

7.55

Answer:

1, 2, -3, 51

Step-by-step explanation:

0 ÷ 2 = 0, then + 1 = 1

2 ÷ 2 = 1, then + 1 = 2

-8 ÷ 2 = -4, then + 1 = -3

100 ÷ 2 = 50, then + 1 = 51