Calculate the area of the shaded region in two different ways. Explain the difference between your two methods.

Answer:

there will be 8 boxes filled and 7 extras books

Answer:

Hi how are you doing today Jasmine

The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.

To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:

1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.

Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.

Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230

Step 3: Round the answer to four decimal places.
Area = 0.3663

So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.

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Explanation:

Right-angled triangles have one of their angles to be 90°.

Angles in a triangle is 180°

=>The other two angles will sum up to 90°

Let x represent the other acute angle

2 less than 3 times the size of the other acute angle.

3(x)-2=one angle.

Equating both angles to 90°

=> other acute angle + one angle =90°

=> x+3x-2=90°

=>4x-2=90°

=>4x=90-2

=>4x=88

Divide both sides by 4

x=22°

Other acute angle=22°

One angle= 3(22)-2

=>66-2

=>64°

Proof= 22+64+2+90=180°

Answer:

Step-by-step explanation:

85/1000 because we said that 1 meter = 1000 mililiters

Divide both sides by 5 and then you have 17/200

then divide both sides by 2 (to get it over 100) =

8.5/100

.085%

Hope that helps!!

You could also just do 85/1000 you would get the same answer!!

Answer:increases residential land use density beyond the City’s General Plan of November 5, 1996 or

increases the amount of commercial acreage beyond the City’s General Plan of November 5, 1996

Step-by-step explanation:

When we round 742396 to four significant digits, then we get the answer of 742400

What we do is circle the first four digits on the left which are the 7,4,2, and 3. That last 3 will bump up to a 4 because we round up to the nearest hundred (due to the next digit being a 9, which is greater than 5).

Put another way, 742396 is closer to 742400 than it is to 742300. The zeros in 742400 are not significant.

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

When we round 742396 to two significant digits, then we get the answer 740000

This time, we only keep the 7 and the 4 as our two important digits. Everything else becomes a 0 which isn't significant. No rounding happens since the 2 after the 4 isn't larger than five. I.e. the number 742396 is closer to 740000 than it is to 750000

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

Rounding 0.07284 to three significant digits gets us to the answer 0.0728

We drop the 4 at the end because the 7,2, and 8 take up the three digits we want to keep. The two zeros are not significant.

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

Rounding 0.07284 to two significant digits gets us the answer 0.073

We keep the 7 and 2 as our two important digits, but bump that 2 up to a 3 because the next digit over is larger than five.

Answer:

Step-by-step explanation: 742396 to four significant digits =7424

742396 to two significant digits =74

0.07284 to three significant digits =0.0728

0.07284 to two significant digits =0.073

Hope it helps!

Answer: 3

Step-by-step explanation: 345

1) Therefore, the approximate mean of the circle is 125 feet. 2) Therefore, the approximate variance of the circle is 0.1 ft².

To approximate the mean and variance of the circle to first order, we need to use the concept of linear approximation.

The linear approximation formula is as follows:
f(x) ≈ f(a) + f'(a)(x - a)

In this case, the mean and variance of the circle can be approximated using the linear approximation formula.

1. Approximating the mean:
The mean of the circle is given as the random variable with a mean of 125 feet.

Since the linear approximation formula uses a first-order approximation, we can approximate the mean of the circle as the mean of the random variable itself, which is 125 feet.

Therefore, the approximate mean of the circle is 125 feet.

2. Approximating the variance:
The variance of the circle is given as the random variable with a variance of 0.1 ft² (standard deviation = 0.32 ft).

To approximate the variance to first order, we need to use the formula:

Var(X) ≈ Var(a) + 2a * Cov(X, Y) + a² * Var(Y)

Since the radius of the circle is a random variable with a variance of 0.1 ft², we can approximate the variance of the circle to first order as the variance of the random variable itself, which is 0.1 ft².

Therefore, the approximate variance of the circle is 0.1 ft².

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Let x be a random variable with pdf f(x) = 1/13, 21 P(X > 30) = 0.31.

We are given that X is a random variable with a probability density function (pdf) of f(x) = 1/13 for the interval 21  x  34.

We are asked to find P(X > 30), which means we need to find the probability of the random variable X being greater than 30. To do this, we will calculate the area under the PDF in the interval [30, 34].

Step 1: Determine the width of the interval [30, 34].
Width = 34 - 30 = 4

Step 2: Calculate the area under the PDF in the interval [30, 34].
Since the pdf is a constant value (1/13) within the given interval, we can calculate the area as follows:
Area = f(x) * width
Area = (1/13) * 4

Step 3: Round off the result to the second decimal place.
Area ≈ 0.31 (rounded to two decimal places)

So, P(X > 30) ≈ 0.31.

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The sketch to illustrate the question is given below

Since each of the bags are filled equally with 2 kilograms 450 grams of sand

Then we can sum two bags and compare the mass with 5 kilogram

We can see that the sum of two bags weighs 4 kilograms and 900 grams (4.90 kilograms) which is 100 grams less than 5 kilograms.

Thus we can conclude that the mass of 2 bags is LESS THAN 5 kilograms

If five regular six sided dice are rolled then there are 540 ways through which sum of numbers coming after rolling will be 14.

Given Five regular six sided dices are rolled.

From stars and bars the number of n tuples of natural numbers summing up to k is given by

\((k-1\\n-1)\)

For k=14 and n=5

\((14-1 \\5-1)\)

=\((13\\4)\)

=715

Some of these will contains a number greater than 6.To get the number of 5 tuples that correspond to 5 rolls of a six sided dice we need to subtract from 715.

Total 5 tuples summing up to 14 for which no element is greater the 6 is given as under:

N=\((13/4)-5(6/3)-5(5/3)-5(4/3)-5(3/3)\)

where last term comes from the 5 tuples containing one 10 and fours'

=715-100-50-20-5

=540

Hence there  are 540 such ways which sum to 14 when five six sided dices are rolled.

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Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".

The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.

Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.

The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.

Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.

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the probability that the battery will need to be replaced within its warranty period is 0.5507, which is Option A.

The given type of battery whose life is measured in years is an exponential random variable with a decay parameter of 0.2. This type of battery has a warranty period of 4 years. The question is about finding the probability that a battery will need to be replaced within the warranty period, which is a mathematical concept of probability. The warranty period for the battery is 4 years.

Therefore, the required probability can be calculated as follows:

\($P(X < 4) = 1 - e^{(-\lambda\times4)}$\)

Where λ is the decay parameter = 0.2

Substitute these values in the above formula:

\(P(X < 4) = 1 - e^{(-0.2\times4)}= 1 - e^{(-0.8)}= 1 - 0.4493= 0.5507\)

Hence, within the warranty period the probability of a battery which will need to be replaced is 0.5507. Thus, option A is the correct answer.

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The ordered pair satisfying the given condition is (0,0)

Given that,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to AB.

Let, (x,y) belong to A∩B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A∩B is (0,0).

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Answer:0,0

Step-by-step explanation:

right on quiz

Answer:

(4;-1)

Step-by-step explanation:

Answer:

5 felt pads.

7 cards.

Step-by-step explanation:

Remark

Equations and Solution

x + y = 12

Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.

0.5x + 0.75y = 7.75             Multiply this equation by 2

x + 1.5y = 15.50                    write the first equation underneath and subtract.

x +    y =   12

      .5y =  3                          Divide by 0.5

y = 3/0.5

y = 7

So she can get 7 cards.

x + y = 12

x + 7 = 12

x = 12 - 7

x = 5

So she can buy 5 felt pads.

Answer:

what happening to you

please answer your very

After the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975.

Let's calculate the new value of the stock after the increase and decrease.

Starting with $1,000, a 4.5% increase in value would be calculated as (4.5/100) * 1000 = $45. This brings the value up to $1,045.

Next, a 4.5% decrease in value would be calculated as (4.5/100) * 1045 = $47.025. This amount is subtracted from the increased value of $1,045.

Subtracting $47.025 from $1,045 gives us $997.975, which is slightly less than $1,000.

Therefore, after the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975. It's important to note that this calculation assumes a simple percentage increase and decrease without considering other factors that can affect stock market fluctuations.

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The value of n when the sum is 143 is n = 12.

What is consecutive numbers?

The term "consecutive" refers to a sequence of numbers. Every pair of numbers has a difference of 1. The mean and median are equal in a set of consecutive numbers. If n is a number, n, n+1, and n+2 would be following it. Examples. 1, 2, 3, 4, 5.

Numbers that follow one another in order, from the smallest to the largest, are referred to as consecutive numbers. There is a consistent pattern to the difference between two consecutive numbers.

Given:

The sum of the first n consecutive odd integers can be found using

s = n^2 - 1, where n is greater than or equal to 1.

Let the sum is 143.

We have to find the value of n.

Plug s = 143 in s = n^2 - 1

⇒      143 = n^2 - 1

⇒ 143 + 1 = n^2

⇒      144 = n^2

⇒        12 = n

⇒         n = 12

Hence, the value of n when the sum is 143 is n = 12.

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Answer:

The Communitive Property of Addition

Step-by-step explanation:

The properties are

Communitive: You can switch the order and still get the same answer

Assosiative: You can switch what numbers are in the parentheses and still get the same answer (if you're only adding) a+(b+c)=c+(a+b)

Distributive: (a*b)+(a*c)=a*(b+c)

Identity: You can add a number with 0 and get the same number you started with

y+x=x+y is the communitive property because, no matter which order the numbers are, you get the same answer

the answer is b, 7/25

Answer:

$37.50 per month

Step-by-step explanation:

150/4 = 37.50 per month

Check the picture below.

Answer:

Multiply each le and divde from the one on the left

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

180-135= 45

45 + 77 = 122

180 -122 = 58

Answer: 45 ml/h

Step-by-step explanation: that is  s/t graph

read in any point on the part of graph  distance , and divide

it with time .

95:2 hours,  

Reasonable estimate of the total cost is $10.

We know that Reasonable estimate does not exceed the original numbers.

We can round down the number to the nearest number to estimate the answer.

Given that Jenny buys four items that cost $1.43, $3.72, $2.21 and $ 5.60 which estimates to $0 , $0, &0, $10.00 respectively.

Therefore total cost of estimated numbers will be

$0 + $0 + $0 + $10.00 = $10

Hence reasonable estimate of the total cost is $10.

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Answer:

600 miles

Step-by-step explanation:

1 Inch = 100 Miles

6 Inches = 600 Miles

Answer: 300

Step-by-step explanation:

60/100 multiplied by x = 180

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 180 × 100/60

x = 300