work out the area of a circle with radius 6mm. give your answer in terms of pi and state its units

Answer:

only 441 km in 45 s has the same speed as Saige's

Step-by-step explanation:

588 / 60 = 9.8 km/sec

441 / 45 = 9.8 km/sec

Answer:

441km in 45s—same speed

215km in 25s—not the same speed

649km in 110s—not the same speed

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

The first one is 3/6 = 50%

The second one is 3/8 = 37.5%

The third one is 2/4 = 50%

The fourth one is 5/8 = 62.5%

The ones with the same percent shaded are the first and third

Answer:

a and c

Step-by-step explanation:

A has 3 out of a total of 6 shaded, and that would be 3/6. 3/6 simplifies into 1/2 which is also 50%. Same with c. 2 out of four pieces are shaded, 2/4. 2/4 becomes 1/2 which is also 50%.

Answer:

The mean of the distribution of heights of students at a local school is 63 inches and the standard deviation is 4 inches.

Step-by-step explanation:

The normal curve approximating the distribution of the heights of 1000 students at a local school is shown below.

For a normal curve, the mean, median and mode are the same and represents the center of the distribution.

The center of the normal curve below is at the height 63 inches.

Thus, the mean of the distribution of heights of students at a local school is 63 inches.

The standard deviation represents the spread or dispersion of the data.

From the normal curve it can be seen that values are equally distributed, i.e. the difference between two values is of 4 inches.

So, the standard deviation is 4 inches.

Answer:

38.01

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hope this helps!

Answer:

4)13

Step-by-step explanation:

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Answer: The probability that exactly 4 insects will survive = 0.2903.

Step-by-step explanation:

Given : The proportion of all insects in laboratory experiments killed by insecticide = 60%=0.60

Since , by using insecticide only two outcomes are possible either it kills or not kills , so we can use binomial.

Sample size of insects = 7

By using binomial probability formula : [tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex], where x is binomial variable , n = sample size and p is the probability of getting success.

Let x be the number of insects survived.

As per given , we have

n=7 , p=0.60

Now , the probability that exactly 4 insects will survive :

[tex]P(x=4)= ^7C_4(0.60)^4(1-0.60)^3\\\\=\dfrac{7!}{4!3!}(0.60)^4(0.40)^3\\\\= 35\times 0.1296\times 0.064 \\\\=0.290304\approx0.2903[/tex]

Hence, the probability that exactly 4 insects will survive = 0.2903

Answer: Each blueberry pie costs $14 and each blackberry pie costs $18.

Step-by-step explanation:

If X is the price of a blueberry pie and Y is the price of a blackberry pie we have that:

3*X + 12*Y = $258

4*X + 3*Y = $110

We have a system of equations, to solve it first we can isolate one of the variables in one of the equations, let's isolate X in the first equation.

3*X = $258 - 12*Y

X = $258/3 - (12*Y)/3 = 86  - 4*Y

now we can replace it in the second equation and get:

4*(86 - 4*Y) + 3*Y = 110

344 - 16Y + 3Y = 110

344 - 13Y = 110

13Y = 344 - 110 = 234

Y = 234/13 = 18

So each blackberry pie costs $18.

And we can replace it in the equation for X and get the value of X.

X = 86 - 4*Y = 86 - 4*18 = 14

So the price of a blueberry pie is $14.

Answer:

the cost each of one blueberry pie is $14

and one blackberry pie is $18

Step by step explanation:

Given that;

Beth sold 3 blueberry pies and 12 blackberry pies for a total of $258.

Ming sold 4 blueberry pies and 3 blackberry pies for a total of $110.

Let x represent the cost of blueberry pies and y the cost of blackberry pie.

3x + 12y = 258 ........1

4x + 3y = 110 ..........2

To solve the simultaneous equations;

Multiply equation 2 by 4, equation 2 becomes;

16x +12y = 440 .......3

Subtract equation 1 from 3;

16x-3x + 12y-12y = 440-258

13x = 182

x = 182/13 = 14

Substituting x=14 to equation 2

4(14) + 3y = 110

3y = 110 - 4(14)

3y = 54

y = 54/3

y = 18

the cost each of one blueberry pie is $14

and one blackberry pie is $18

Answer:

[tex] 4 {x}^{2} - 28x + 24[/tex]

Step-by-step explanation:

Roots of the quadratic equation are 1 and 6

Therefore, (x - 1) & (x - 6) are factors.

Leading coefficient is: 4

Required quadratic equation is given as:

[tex]4(x - 1)(x - 6) \\ = 4( {x}^{2} - 6x - x + 6) \\ = 4( {x}^{2} - 7x + 6) \\ = 4 {x}^{2} - 28x + 24[/tex]

Answer:

x =15

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

We know the area=225 and the base= (45-x) and the height =15

Substituting these into the equation

225 = 1/2 (45-x)*15

225 = 15/2 (45-x)

Multiply each side by 2/15

2/15 *225 = 2/15*15/2 (45-x)

30 = 45-x

Subtract 45 from each side

30-45 =45-x-45

-15 = -x

Multiply each side by -1

15=x

Answer:

22c + 18s

Step-by-step explanation:

Lena buys:

12c + 11s

Patrick buys;

10c + 7s

Total cost is the sum of the both Lena and Patrick's purchase

12c + 11s + 10c + 7s

collect like terms

12c +10c + 11s + 7s

22c + 18s

Answer:

The answer is 0.9

Step-by-step explanation:

I got it right

Step-by-step explanation: ANSWER is B 0.9

The value of x in the expression for the angle of the triangle is 12.

The figure in the image is a triangle.

From the image:

Angle 1 = 5x

Angle 2 = 60 degrees

Angle 3 = 60 degrees

Note that, the sum of the interior angle of a triangle equals 180 degrees.

To determine the value of x, add the 3 angles and equate to 180 degrees.

Hence:

5x + 60 + 60 = 180

Collect and add like terms:

5x + 120 = 180

Subtract 120 from both sides:
5x + 120 - 120 = 180 - 120

5x = 180 - 120

5x = 60

x = 60/5

x = 12

Therefore, x has a value of 12.

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Answer:

1583.90

Step-by-step explanation:

This is correct

Answer:

Step-by-step explanation:

Let's start by figuring out what the new balance is each time the balance changes, and the number of days with that balance. Then we can take the mean of those balances.

Hint #22 / 4

Day of June Transaction amount (in dollars) New balance Days with that balance

111 122312231223 122312231223 10-1=910−1=910, minus, 1, equals, 9

101010 615615615 1223+615=18381223+615=18381223, plus, 615, equals, 1838 15-10=515−10=515, minus, 10, equals, 5

151515 -63−63minus, 63 1838+(-63)=17751838+(−63)=17751838, plus, left parenthesis, minus, 63, right parenthesis, equals, 1775 22-15=722−15=722, minus, 15, equals, 7

222222 -120−120minus, 120 1775+(-120)=16551775+(−120)=16551775, plus, left parenthesis, minus, 120, right parenthesis, equals, 1655 31-22=931−22=931, minus, 22, equals, 9

[Why subtract from 31?]

Hint #33 / 4

To find the mean, we first sum all of the daily balances. Then we divide by 303030, since there are 303030 days in June.

\begin{aligned}&\phantom{=}\dfrac{1223 \times 9 + 1838 \times 5 + 1775 \times 7 + 1655 \times 9}{30} \\\\ &=\dfrac{11{,}007 + 9190 + 12{,}425 + 14{,}895}{30} \\\\ &=\dfrac{47{,}517}{30} \\\\ &=1583.90 \end{aligned}

​

=

30

1223×9+1838×5+1775×7+1655×9

​

=

30

11,007+9190+12,425+14,895

​

=

30

47,517

​

=1583.90

​

Hint #44 / 4

The average daily balance of Elliott's account for the month of June is 1583.901583.901583, point, 90 dollars.

Answer:

4² and 5²

Step-by-step explanation:

4² = 16

5² = 25

Answer:

Step-by-step explanation:

First, arrange the numbers from least to greatest: 35, 60, 65, 70, 70, 70, 90, 95, 95. Then find the middle number by taking away 1 number from each side.

The middle number is 70, so the median is 70.

Look at the attached picture⤴

Hope it will help u...

Answer: 2 , 3 , & 4 are correct .

Hope this will help u...

Answer:

83.3%

Step-by-step explanation:

Convert fraction (ratio) 10 / 12

Answer: 83.333333333333%

Answer:

14

Step-by-step explanation:

Because 40% of the class is playing games, that means (100-40)% aren't playing, meaning that those 60% haven't finished the assignment.

We find 60% of the total 24 students, and that is .6 * 24 = 14.4

Because you can't have .4 people, the answer rounds (down ) to 14

Answer:

14 Students.

Step-by-step explanation:

40% of 24 is 9.6 (Which should be approximated to 10). 24 Students in total - Approximately 10 who have completed the assignment is 14 students who still need to complete the assignment.

Answer:

Y = 8

Step-by-step explanation:

(6-4X)²/[2X²-5X+12]

[36 - 48X + 16X²]/[2X² - 5X + 12]

Y = 16/2

Y = 8

Answer: 8

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

hope this helps

Answer:  

The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

Explanation:  

The magnitude of earthquakes is given by

[tex]Magnitude=log\frac{I}{S}[/tex]

[tex]2=log\frac{I}{S}\\[/tex]

Where I is the intensity of earthquake and S is the intensity of standard earthquake.

The magnitude of standard earthquakes is given by

[tex]Magnitude=log\frac{S}{S}= log(1) = 0[/tex]

So comparing the magnitude of the given earthquake and standard earthquake,

[tex]log\frac{I}{S} = log\frac{S}{S}[/tex]

[tex]log\frac{I}{S} - log\frac{S}{S}[/tex]

[tex]log(2) - log(1)[/tex]

[tex]2 - 0[/tex]

[tex]2[/tex]

which means that

[tex]10^2 = 100[/tex] times greater

Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

Answer:

Salty spark is right

Step-by-step explanation:

for anyone who didnt know 0.25 is equivalent to 1/4 just to make it clear 1/4 IS the correct answer saltyspark just put it in decimal form.

To find Ilana's average speed, we divide the total laps by the total minutes, which results in one-fourth of a lap per minute.

To find the average speed, we divide the total distance by the total time taken

To determine Ilana's average speed, we need to divide the total distance (2 laps) by the total time (8 minutes). When we do that, we get 0.25 laps per minute.

This is also known as one-fourth of a lap per minute. That means, on average, Ilana completes a quarter of a lap every minute.

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Answer:

if the chord is not passing through the center of the circle it is not a diameter

A chord is any line that divides the circle into two parts; the parts may be equal or unequal

From the question, we understand that the chord is not a diameter

This means that:

See attachment for a diagram that illustrates the chord

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