Ana has a rectangular garden with the width of 2.3 meters and a length of 2.8 meters. she makes the model below to help her determine the area of her garden. What is the area of Ana's garden?

Answers 6.44, 8.6 4.38, 5.1

The probability that the difference is at least as large as the value the attendant observes is 0.3174.

To find the probability that the difference in NOX levels between two randomly chosen cars of this type is at least as large as the value observed by the test station attendant, we need to calculate the probability of the difference being greater than or equal to the observed difference.

Given that the NOX levels follow a Normal distribution with a mean of 1.4 grams/mile and a variance of 0.09 grams/mile^2, we can use these parameters to standardize the data and calculate the probability using z-scores.

First, we calculate the standard deviation (σ) by taking the square root of the variance: σ = √(0.09) = 0.3 grams/mile.

Next, we calculate the z-score for each observed value:

z1 = (1.1 - 1.4) / 0.3 = -1,

z2 = (1.9 - 1.4) / 0.3 = 1.67.

Now, we find the probability of the difference being at least as large as the observed value by finding the area under the standard normal curve corresponding to z ≥ 1 or z ≤ -1.

P(z ≥ 1 or z ≤ -1) = P(z ≥ 1) + P(z ≤ -1).

Using a standard normal distribution table or a calculator, we can find the probabilities:

P(z ≥ 1) ≈ 0.1587,

P(z ≤ -1) ≈ 0.1587.

Therefore, P(z ≥ 1 or z ≤ -1) ≈ 0.1587 + 0.1587 = 0.3174.

Thus, the probability that the difference in NOX levels between two randomly chosen cars of this type is at least as large as the value observed by the test station attendant is approximately 0.3174 or 31.74%.

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Answer:

y ≤ 4

Step-by-step explanation:

Since WY is equal to XY, which is 8, the length of WY is also 8

Since quadrilateral WXYZ is a rectangle, opposite sides are congruent. This means that WY is also equal to 8.

In a rectangle, the opposite sides are parallel and congruent, and the adjacent sides are perpendicular to each other.

Given:

XZ = 2c

ZY = 6

XY = 8

We can see that XY is the diagonal of the rectangle, and it forms a right triangle with sides XY, XZ, and ZY. Using the Pythagorean theorem, we can find the length of WY.

Using the Pythagorean theorem: XY² = XZ² + ZY²

Substituting the given values: 8² = (2c)² + 6²

64 = 4c² + 36

4c² = 64 - 36

4c² = 28

c² = 28/4

c² = 7

c = √7

Since WY is equal to XY, which is 8, the length of WY is also 8.

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Answer:

The area of the triangle is six square metres.

Step-by-step explanation:

The area of the triangle is half the area of the rectangle that it fits in.  This one is particularly simple, as it's a right triangle and we're given its width and height, so it's area is:

w × h ÷ 2

= 3 × 4 ÷ 2

= 3 × 2

= 6

Answer:

*Pew Pew*

Step-by-step explanation:

Answer:Your answer should be 0.125 or .125

Step-by-step explanation:Decimals can be negative or positive. In this case it will be negative.

Find an equivalent fraction with a denominator of a power of 10.

In this case we will use  

1000

The smallest number of books each Amanda and Liam could have shelved while ending up with the same number of books is 24.

To know  the smallest number of books each Amanda and Liam could have shelved while ending up with the same number of books, one  need to find the least common multiple (LCM) of 12 and 8.

The LCM of 12 and 8 is the smallest number that is divisible by both 12 and 8 and no remainder.

The prime factorization of 12 = 2² x  3,

the prime factorization of 8 = 2³.

To find the LCM, we take the highest power of each prime factor that appears in either number:

LCM = 2³ x 3 = 24

Therefore, the smallest number of books each Amanda and Liam could have shelved while ending up with the same number of books is 24.

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The probability that a randomly selected customer bought exactly 1 of the accessories is 0.664, or 66.4%.

To find the probability that a randomly selected customer bought exactly 1 of the accessories, we need to determine the number of customers who bought exactly 1 accessory and divide it by the total number of customers.

Let's denote the events:

A = customer bought a case

B = customer bought an extended warranty

C = customer bought a dock

We are given the following information:

411 customers bought cases (A)

82 customers bought extended warranties (B)

100 customers bought docks (C)

57 customers bought both a dock and a warranty (B ∩ C)

65 customers bought both a case and a warranty (A ∩ B)

77 customers bought both a case and a dock (A ∩ C)

48 customers bought all three accessories (A ∩ B ∩ C)

58 customers bought none of the accessories

To find the number of customers who bought exactly 1 accessory, we can sum the following quantities:

(A - (A ∩ B) - (A ∩ C)) + (B - (A ∩ B) - (B ∩ C)) + (C - (A ∩ C) - (B ∩ C))

(A - (A ∩ B) - (A ∩ C)) represents the number of customers who bought only a case.

(B - (A ∩ B) - (B ∩ C)) represents the number of customers who bought only an extended warranty.

(C - (A ∩ C) - (B ∩ C)) represents the number of customers who bought only a dock.

Calculating the above expression, we get:

(411 - 65 - 77) + (82 - 65 - 57) + (100 - 77 - 57) = 332

Therefore, there are 332 customers who bought exactly 1 of the accessories. To find the probability, we divide this number by the total number of customers, which is 500:

Probability = 332/500 = 0.664

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Answer:

No solution

Step-by-step explanation:

2 - 14 - 7 = -4

-12 - 7 = -4

-19 = -4

The family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

To compare the box of cereal price we need to know the price per ounce first. It can be written as

Price per ounce = price /  total ounces

From the text above, we know that :

large size price = $3.34

large size ounces = 15

family size price = $5.14

family size ounces = 24

By substituting the parameter we can get the price per ounce of large size and family size

Large size

Price per ounce = price /  total ounces

Price per ounce = 3.34 / 15

Price per ounce = $0.22 / ounce

Family size

Price per ounce = price /  total ounces

Price per ounce = 5.14 / 24

Price per ounce = $0.21 / ounce

Hence, the family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

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Answer:

y=4/5x-2

Step-by-step explanation:

8x-10y=20

-10y=-8x+20 subtract 8x from both sides

x=4/5x-2   divide everything by -10

29.13 square units is the area of the composite figure.

The given composite figure is a triangle and a semicircle. Then formula for the area is expressed as:

A= area of triangle + area of semicircle

Area of triangle = 0.5(5)(6)
Area of triangle = 15 square units

Area of semicircle = πr²/2

Area of semicircle = 3.14(3)²/2

Area of semicircle = 14.13 square units

Area of the shape = 15 square units + 14.13 square units

Area of the shape = 29.13 square units

Hence the given area of the figure is  29.13 square units

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hope it will helpful to you please reply me it is correct or not

Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

Use the given information to set up a proportion and solve for the unknown sales amount:

Commission earned / Sales amount = Commission rate

$21,000 / $300,000 = 0.07

Now we can use this proportion to find the sales amount needed to earn $35,000:

$35,000 / 0.07 = $500,000

Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

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Answer:

a) 0.3

b) 0.02

c) 0.008

d) 0.3704

e) 14.65

f) 0.301

Step-by-step explanation:

a) 3/10 = 0.3

b) 2/100 = 0.02

c) 8/1000 = 0.008

d) 10/27 = 0.3704

e) 1465/100 = 14.65

f) 301/1000 = 0.301

Answer:

12x+3

Step-by-step explanation:

distribute the 5 to both the 2x and -1

10x-5

do the same with the the 2. Distribute the 2 to the x and to the 4.

2x+8

10x-5+2x+8

add like terms: the 10x and the 2x are like terms and the -5 and 8 are like terms

12x+3 : the answer

i think it would be 200

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

The total number of cups is 9 1/2 cups

Step-by-step explanation:

Here, we are interested in calculating the total cups of trail mix that Mr V can make.

From the question, we are told that he used 1/2 cups of peanuts, 2 1/4 cups of raisins and 2 times more sunflower seeds than raisins.

So basically, we need to find the number of cups of sunflower seeds used.

The information we have here is that he used 2 times more of raisins;

Thus, the number of cups of sunflower would be 2 * 2 1/4 = 2 * 9/4 = 9/2. But practically is 9/2 , two times more than 2 1/4? NO!

What we should do here is to add 9/2 to 2 1/4. In that case, the difference between the two will be 2 times the cups of raisins;

So 9/2 + 9/4 = (18 + 9)/4 = 27/4

So the total number of cups of trail mix that can be made will be;

1/2 + 27/4 + 9/4 = (2 + 27 + 9)/4 = 38/4 = 19/2 = 9 1/2 cups

Answer:

21 days.

Step-by-step explanation:

To solve this, divide the cost of lunch from the initial amount in his account. Therefore:

58.19 = 2.74x ('x' being the number of days)

Divide both sides by 2.74:

\(\frac{58.19}{2.74} = \frac{2.74x}{2.74}\)

x ≈21.24, or 21 days.

***Since you use whole numbers when counting days, round down to determine the amount of days he can buy lunch. Thus, he can buy lunch for 21 days.

The Area of glass needed for the window is approximately 200.97 square inches.

The area of the glass needed for the circular window can be found using the formula for the area of a circle, which is given by:

A = πr^2

where A is the area of the circle and r is the radius.

In this case, the radius of the window is 8 inches, so we can substitute this value into the formula:

A = π(8)^2

Simplifying the expression inside the parentheses, we get:

A = π(64)

Using a calculator or estimating π as 3.14, we can evaluate the expression to find:

A ≈ 200.96

Rounding to the nearest hundredth, we get:

A ≈ 200.97 square inches

Therefore, the area of glass needed for the window is approximately 200.97 square inches.

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The trigonometric ratios to the angle θ are given as follows:

a) cos(θ) = 0.9.

b) tan(θ) = -0.4.

c) sec(θ) = 1.1

d) csc(θ) = -2.5.

e) cot(θ) = -2.5.

The relation between the sine and the cosine is given as follows:

sin²(θ) + cos²(θ) = 1.

Hence the cosine is obtained as follows:

cos²(θ) = 1 - sin²(θ)

cos²(θ) = 1 - (-2/5)²

cos²(θ) = 1 - 4/25

cos²(θ) = 21/25

In the fourth quadrant, the cosine is positive, hence:

\(\cos{\theta} = \frac{\sqrt{21}}{5}\)

cos(θ) = 0.9.

The tangent is the sine divided by the cosine, hence:

tan(θ) = -0.4/0.9

tan(θ) = -0.4.

The secant is one divided by the cosine, hence:

sec(θ) = 1/0.9

sec(θ) = 1.1.

The cosecant is one divided by the cosine, hence:

csc(θ) = 1/-0.4

csc(θ) = -2.5.

The cotangent is one divided by the tangent, hence:

cot(θ) = 1/-0.4

cot(θ) = -2.5.

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When the burner is off there is no energy being produced.

Once you turn the burner in it begins creating energy which is used to cook.

The answer is: newly created energy that was not present earlier.

Answer:

B

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

The income elasticity of demand for food is 1.

The income elasticity of demand measures how quantity demanded changes when income changes.

income elasticity of demand = percentage change in quantity demanded / percentage change

When income elasticity of demand is one, it means that the good has a constant demand regardless of changes in income.

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The x-coordinate of point P is -3/5. The point P is on the unit circle. If the y-coordinate of P is −4/5, and P is in quadrant IV, then x is: -3/5.

We can use the Pythagorean theorem to find x. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the radius of the unit circle, which is 1, and the length of one of the other sides is x, so we have:1² = x² + (-4/5)²

Simplifying:1 = x² + 16/25

Multiplying both sides by 25:

25 = 25x² + 16

Solving for x:

25x² = 9x = ± √(9/25) (we can take the positive root since x is in quadrant IV)

x = ± (3/5)

Since x is in quadrant IV (the x-coordinate is positive, and the y-coordinate is negative), we choose the positive value, so:

x = 3/5

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the 99% confidence interval is approximately (0.906, 0.994)

To construct a confidence interval, we can use the formula:

CI = p(cap) ± Z * sqrt((p(cap) * (1 - p(cap))) / n)

Where:

p(cap) is the sample proportion,

Z is the Z-score corresponding to the desired confidence level, and

n is the sample size.

Given:

n = 360

p(cap) = 0.95 (or 95%)

To find the Z-score corresponding to a 99% confidence level, we need to find the critical value from the standard normal distribution table or use a calculator. The Z-score for a 99% confidence level is approximately 2.576.

Substituting the values into the formula, we have:

CI = 0.95 ± 2.576 * sqrt((0.95 * (1 - 0.95)) / 360)

Calculating the expression inside the square root:

sqrt((0.95 * (1 - 0.95)) / 360) ≈ 0.0153

Substituting this back into the confidence interval formula:

CI = 0.95 ± 2.576 * 0.0153

Calculating the upper and lower bounds of the confidence interval:

Upper bound = 0.95 + (2.576 * 0.0153) ≈ 0.9938

Lower bound = 0.95 - (2.576 * 0.0153) ≈ 0.9062

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