9. The Empire State Building in New York is
hit by lightning about 100 times a year.
The building opened in 1931. About how
many times was it hit by lightning by the
year 2000? (69 years)

The little lines through the 4 sides mean all the sides are the same length.

The area is side x side = 8 x 8 = 64 square cm.

Perimeter is the sum of the 4 sides = 8 + 8 + 8 +8 = 32 cm.

Answer:

Perimeter

P =a+a+a+a =4a

P = 4*8

P=32cm

Area

A = a*a = [tex]a^{2}[/tex]

A = [tex]8^{2}[/tex]

A = 64[tex]cm^{2}[/tex]

Answer:

(1/6)2

Step-by-step explanation:

(1/6)2 has a value of 1/36

Answer:

The answer is 20

Step-by-step explanation:

In ratio what you do one side you do on the other side 5:4=25:20

5×5=25

4×5=20

Answer:

all of the above

Step-by-step explanation:

Step-by-step explanation:

i think that it will be (D) all the above

Answer: 120 kids were surveyed

              And 20 kids chose stuffed animal

Step-by-step explanation: hope this help

Answer:

120 were surveyed and about 16%(16.6666%) chose stuffed animal

Step-by-step explanation:

Answer:

6.66666667E-5

hope this helped a bit!

Answer:

Should be 4/7

Hope it helps have a good day!

Answer:

x = 16 2/3

Step-by-step explanation:

The two triangles in the picture are similar, which means that the corresponding side lengths on each of them are proportional - the ratios between them are equal to each other.

On the larger triangle, let's pick the pair of lengths 25 and 39. The corresponding pair on the triangle has the lengths x and 26. Similarity then tells us that the ratios, 25/39 and x/26, are equivalent. All that's left to do now is set up an equation and solve for x:

[tex]\frac{25}{39}=\frac{x}{26}[/tex]

multiplying both sides of the equation by 26 gives us

[tex]26\left(\frac{25}{39}\right)=x[/tex]

We can do a little reduction here: 26 and 39 have a common factor of 13, and since 26 = 13 x 2 and 39 = 13 x 3, the expression on the left reduces to

[tex]2\left(\frac{25}{3}\right)=x[/tex]

We can rewrite 25/3 as the mixed number 8 1/3, making our equation

[tex]2\left(8\frac{1}{3}\right) =x[/tex]

So finally, we have [tex]x=16\frac{2}{3}[/tex]

Answer:

2 to 3, 4 to 6, 8 to twelve

Step-by-step explanation:

the boys are first, girls second

Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too

Step-by-step explanation:

Answer:

We have 8 boys and 12 girls, and we have 5 boys that have a speaking part, and 7 of the 12 girls do not have a speaking part, so 5 girls have a speaking part, which makes 10 speaking parts out of 20 so we have [tex]\frac{10}{20} = \frac{1}{2}[/tex].

Hope this helps!

Answer:

Step-by-step explanation:

This math problem is only made difficult b/c they want you to figure out home many total kids have a speaking part in the play

5 boys do , but they give the mount of girls in a tricky way solve that part.  then mulitipy by 5 to make the totals from 100

20 total  kids

8 are boys

20-8 = 12

12 are girls

7 of those 12 do NOT speak in the play

12 - 7 = 5

5 girls speak in the play

5 boys + 5 girls = 10 kids speak in the play

you can probably figure out from   here...  1/2 of the kids speak .. that are in the play

so it's 50% as likely .. to pick someone that has a speaking part in the play as not

Answer:

a. Linear pair theorem

b. x = 40

Step-by-step explanation:

a. You can use linear pair theorem. That is, two angles on a straight line are supplementary. They sum up to 180°

b. Thus:

x + (4x - 20) = 180°

x + 4x - 20 = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

The arrays found here are as follows; red: 1 blue 2 yellow 7. green. 16

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

We are given that Max has 2 red tiles, 3 blue tiles, 4 yellow

tiles, and 8 green tiles.

We can see that 4 and 9 could be 1 array. 2 and 18 can be another array. 3 and 12 could be another one. 6 and 6 could be another array. Lastly, 1 and 36 could be an array.

There should be a total of 5 arrays. If we include the 1 and 36 array, then it's 5, I'd you don't include it, then it's 4 arrays.

Hence, there are  red: 1 blue 2 yellow 7. green. 16

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Answer:

-x3

Step-by-step explanation:

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean of a population is 74 and the standard deviation is 15.

This means that [tex]\mu = 74, \sigma = 15[/tex]

Question a:

Sample of 36 means that [tex]n = 36, s = \frac{15}{\sqrt{36}} = 2.5[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 78. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{78 - 74}{2.5}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a pvalue of 0.9452

1 - 0.9452 = 0.0548

0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

Question b:

Sample of 150 means that [tex]n = 150, s = \frac{15}{\sqrt{150}} = 1.2247[/tex]

This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So

X = 77

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{77 - 74}{1.2274}[/tex]

[tex]Z = 2.45[/tex]

[tex]Z = 2.45[/tex] has a pvalue of 0.9929

X = 71

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{71 - 74}{1.2274}[/tex]

[tex]Z = -2.45[/tex]

[tex]Z = -2.45[/tex] has a pvalue of 0.0071

0.9929 - 0.0071 = 0.9858

0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c. A random sample of size 219 yielding a sample mean of less than 74.2

Sample size of 219 means that [tex]n = 219, s = \frac{15}{\sqrt{219}} = 1.0136[/tex]

This probability is the pvalue of Z when X = 74.2. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{74.2 - 74}{1.0136}[/tex]

[tex]Z = 0.2[/tex]

[tex]Z = 0.2[/tex] has a pvalue of 0.5793

0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

Answer:

Let's choose the three odd consecutive numbers 1, 3, and 5.

3^2=9

1•5=5

9-5=4

Let's try the same thing, but with the numbers 101, 103, and 105.

103^2=10609

101•105=10605

10609-10605=4

So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.

Pick 3 consecutive odd numbers:

3, 5, 7

Square the 2nd number: 5 ^ 2 = 25

Multiply the first and 3rd:

3 x 7 = 21

25-21 = 4

This is true.

Try another set of numbers:

9, 11, 13

11^2 = 121

9 x 13 = 117

121-117 = 4

Again it’s true.

Answer:

2777 times

Step-by-step explanation:

You can choose to convert however you like, as long as you divide when they have the same units.

1km = 1000m = 100000cm

36cm = 0.36m = 0.00036

Hence, 1000m÷0.36m = 2777.77777...

Round down to 2777

The stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

Speed is the measure of how quickly an object travels a certain distance. It is defined as the distance traveled by an object divided by the time taken to travel that distance.

The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h), although other units may also be used depending on the context.

Assuming that the stone is stuck at the bottom of the tire and remains there, the stone will hit the ground every time the tire makes a complete rotation. The circumference of the tire is given by:

C = 2πr

where r is the radius of the tire. Substituting the given value of r = 36 cm, we get:

C = 2π(36) cm ≈ 226.19 cm

Therefore, the tire travels a distance of approximately 226.19 cm with each complete rotation. To find out how many times the stone will hit the ground when the car travels 1 kilometer, we need to convert 1 kilometer to centimeters:

1 kilometer = 1000 meters = 1000 x 100 centimeters = 100000 cm

Dividing the distance traveled by the circumference of the tire, we get:

100000 cm ÷ 226.19 cm/rotation ≈ 442.28 rotations

Therefore, the stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

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Answer:

what ?? I couldn't understand

Answer:

#3

Step-by-step explanation:

Answer:

239.32 and 2359.20

Step-by-step explanation:

just completed this test dawg

Answer:

His monthly payment for the loan will be $

239.32,

and the total finance charge for the loan will be $

2,359.20.

Step-by-step explanation:PLATO

Answer:

Step-by-step explanation:

ΔABD ≅ ΔAEC because:

We have two sides and the included angle congruent - SAS

Corresponding parts of congruent figures are congruent:

Now, ∠CED is exterior angle and exterior angle is same as sum of non-adjacent interior angles:

Answer:

EG and QM

Step-by-step explanation:

SAS or side angle side

so to start evaluate what u have already

EF =QN means that the two sides are congruent

then <MQN = <GEF

the angle Q is = to angle E

so fid the next two sides that fit the pattern or EG and QM

Answer:

78.54 cm

formula: A= pi x r^2

                        4

Answer:

3 propability because your just trying to find out how many times he can get two different tyes of biscuits. So your answer is 3

Step-by-step explanation:

I hope this helps!!!

Answer:

Step-by-step explanation:

∠Y = ∠P, so AY = AP

Perimeter = AY + AP + 13 = 43

AY + AP = 30

∠Y = ∠P, so AY = AP

AP = 30/2 = 15

Answer:

17

Step-by-step explanation:

divide by 5 both side and q will be:

q-2=15 then take 2 to the other side which will be positive . therefore

q=17

Answer:

2 and 4

Step-by-step explanation: