Indira measures the length, I centimetres, of her desk as 95.6 cm, correct to the nearest millimetre.
Complete the statement about the value of I.

Answer:

............

Step-by-step explanation:

e7

o14

t23

i10

a19

h2

e25

Answer:

3×5×2

= 3×(5×2)

= 3×10

= 30

The best unit of measurement to represent the diameters of Mars and the Sun is millimeters.

1 kilometer = 1,000,000 millimeters

Therefore, the Sun's diameter in millimeters can be calculated as:

1.391 × 10⁶ km × 1,000,000 mm/km = 1.391 × 10¹² mm

Sun's diameter / Mars's diameter = (1.391 × 10¹² mm) / (6.794 × 10⁹ mm)

This simplifies to:

Sun's diameter / Mars's diameter ≈ 204,474

Therefore, the Sun's diameter is approximately 204,474 times greater than Mars's diameter.

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The given number is

The scientific notation of the number is,

Answer:

It adds 3 to them

Step-by-step explanation:

we can see clearly that the function is g(x) = x+3 and let pick an input say 5.

Then we have g(5)= 5+3 which is 8. So the function added 3 to the input 5 which became 8.

The cars were more expensive in 2019

From given information,

Mean price of the car in 1965 = $2,650

Standard deviation, s = $1,000

Mean price of the car in 2019 = $36,700

Standard deviation in 2019, s = $9,000

Cost in 1965 = $2,300

Cost in 2019 = $34,000

Now, z score = [ X - mean ] ÷ s

So, In 1965

z score = [ $2,300 - $2,650] ÷ 1,000

= -0.35

In 2019,

z score = [ $34,000 - $36,700 ] ÷ 9,000

= -0.3

Since, the standard score in 2019 is higher than in 1965

So, the cars were more expensive in 2019

Therefore, the cars were more expensive in 2019

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Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

\(19 \times {19}^{3} \\ = 19 \times (19 \times 19 \times 19) \\ = 19 \times 19 \times 19 \times 19 \\ = 130321\)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

130321

Step-by-step explanation:

all you gotta do is look it up homie ;)

The length of the curve x = 1/3 √y (y − 3)  is 64/3.

The distance between two point along a segment of a curve is known as the arc length.

The equation of the curve is given by:

x = 1/3 √y (y − 3), 16 ≤ y ≤ 25

Length of the curve y = f(x) between point  x =a to x = b is given by:  

\(\int\limits^b_a {\sqrt{1+[f'(x)]^2} } \, dx\)

 √1 + [f′(x)]2 dx.

x = 1/3 √y (y − 3)

x = 1/3 * \(y^\frac{3}{2}\) - \(y^\frac{1}{2}\)

Let's find the first derivative of x.

dx/dy = 1/3. 3/2.  \(y^\frac{1}{2}\)- 1/2 .  \(y^\frac{1}{2}\)

dx/ dy = 1/2 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))

(dx/dy)^2= 1/4 (  \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))^2

= 1/4(y + \(y^-^1\)-2)

1 + {f′(x)}2 = 1 + 1/4(y +\(y^-^1\)-2)

= 1/4 y + 1/4\(y^-^1\)+ 1/2

1 + {f′(x)}2= 1/4 (y + \(y^-^1\) + 2)

√[1 + {f′(x)}2] = 1/2 (  \(y^\frac{1}{2}\) +  \(y^\frac{-1}{2}\))

Length of curve  is given by:  

25

∫   \(\frac{\sqrt{y} }{2} +\frac{1}{2\sqrt{y} }\) dy

16

= \(\left \{ {{y=25} \atop {x=16}} \right.\) [\(y^\frac{3}{2}\)/3 + √y]

= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]

= [125/3 + 5] - [64/3 + 4]

= 140/3 - 76/3

= (140 - 76)/3

= 64/3

So the length of the curve is 64/3

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Answer:Percentage of discount tickets =48%

Step-by-step explanation:

Percentage of discount tickets = Number of discount tickets / total num ber of tickets  x 100

But Total number of tickets  = Discount tickets + full-price tickets

=  276 +299

 = 575 tickets

Percentage of discount tickets = 276/575  x 100/1

0.48 x 100= 48 %

Using the normal distribution as an approximation for the binomial or Poisson distribution involves applying the characteristics of the normal distribution to approximate the behavior of these discrete distributions. This approximation is based on certain conditions and mathematical principles.

The normal distribution has finite tails, meaning that extreme values in the binomial or Poisson distribution may not be accurately captured by the normal approximation.

The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is symmetric and bell-shaped. It is fully characterized by its mean (μ) and standard deviation (σ). On the other hand, the binomial distribution describes the probability of a certain number of successes in a fixed number of independent Bernoulli trials, while the Poisson distribution models the probability of a given number of events occurring in a fixed interval of time or space.

The decision to use the normal distribution as an approximation for the binomial or Poisson distribution relies on specific conditions. These conditions include having a large number of trials or observations and a moderate range of values. Additionally, the probability of success for each trial should be reasonably close to 0.5 for the binomial distribution or the mean should be sufficiently large for the Poisson distribution.

The approximation works due to the central limit theorem (CLT), which states that the sum or average of a large number of independent and identically distributed random variables will be approximately normally distributed, regardless of the shape of the original distribution. In the case of the binomial distribution, as the number of trials increases, the distribution becomes more symmetric and bell-shaped, resembling a normal distribution. Similarly, for the Poisson distribution, as the mean increases, the distribution also approaches a symmetric and bell-shaped form, making it suitable for approximation using the normal distribution.

The strengths of using the normal distribution as an approximation are its simplicity and ease of use. The normal distribution has well-defined properties and is widely understood and studied. It allows for the application of various statistical techniques, such as confidence intervals and hypothesis testing, that are based on the normal distribution. Additionally, the normal distribution has a straightforward parameterization with its mean and standard deviation, making it convenient for calculations and interpretations.

However, there are limitations and weaknesses to consider when using the normal distribution as an approximation. One limitation is that the approximation may not be accurate when the conditions for using the normal distribution are not met. For example, if the number of trials or observations is small, or if the probability of success for each trial is close to 0 or 1, the normal approximation may not provide accurate results.

Another weakness is that the approximation may introduce some error in the tails of the distribution. The normal distribution has finite tails, meaning that extreme values in the binomial or Poisson distribution may not be accurately captured by the normal approximation.

It is important to assess the appropriateness of using the normal distribution as an approximation based on the specific characteristics of the data and the objectives of the analysis. When the conditions are met, the normal approximation can be a useful tool for simplifying calculations and making inferences. However, when dealing with small sample sizes, extreme values, or distributions that deviate significantly from normality, alternative methods or distributions may be more appropriate.

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The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.

What is a right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that, in △BCD

BD = 24 m

DC = 10 m

BC = 26 m

△BCD is a right angle triangle.

The trigonometry ratio of sine is ratio of height to hypothenuse.

With respect to C, the height of △BCD is 24m and hypothenuse is 26m.

sin C = height/hypothenuse

sin C = 24/26

C = 67.38°

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Answer:

35$

Step-by-step explanation:

It will take 10 years and 11 months to payoff the balance. The total interest is $2,574.43

Answer:

I am pretty sure it is 56 because all you have to do is dvided and it comes out to 56.25 but you cant have .25 because that is not an equal peice so yeah I think it is 56

Answer:56.25

Step-by-step explanation:I had same problem it was correct

Answer:

The slope is  

11 − 2  or  − 5.5 .

Step-by-step explanation:

To find the slope given two points, we use the formula  

rise

run

, or  

y

2

−

y

1

x

2

−

x

1

.

Plug in the given points into the formula:

5

−

(

−

6

)

4

−

6

=

11

−

2

Therefore, the slope is  

11

−

2

or  

−

5.5

.

Hope this helps!

This polynomial, 4x² is the GCF and (x + 2)(x - 1)(x + 3) are the remaining factors.

What is polynomial?

A polynomial is an equation made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables.

A polynomial with a GCF of 4x² means that 4x² is a factor common to all terms in the polynomial. One example of such a polynomial is:

4x² (x + 2)(x - 1)(x + 3) = 4x⁵ + 24x²- 36x³ - 72x²

In this polynomial, 4x² is the GCF and (x + 2)(x - 1)(x + 3) are the remaining factors.

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Answer:

-45

Step-by-step explanation:

Answer:

x= -45

Step-by-step explanation:

Let's solve your equation step-by-step.

x/9 = -5

30+5v = 35v

hope this helps! :)

Answer:

35

Step-by-step explanation:

by

adding 30 to 5 and gives you 35

Parallelograms PQRS and QRTU have the same base QR and height. it proves that areas are equal as base × height remains constant.

To prove that the area of parallelograms PQRS and QRTU are equal,

Use the concept that parallelograms with the same base and between the same parallel lines have equal areas.

Parallelograms PQRS and QRTU

Same base QR

Between the same parallel lines PT and QR

Proof,

Draw a diagram with parallelograms PQRS and QRTU sharing the common base QR and being situated between parallel lines PT and QR.

Since PQRS and QRTU share the same base QR and are between the same parallel lines PT and QR, their heights (perpendicular distances from base QR) are equal.

Let's call this height 'h'.

The area of a parallelogram is given by the formula:

Area = base × height.

For PQRS, its area would be: Area of PQRS = QR × h.

For QRTU, its area would be: Area of QRTU = QR × h.

Since both parallelograms have the same base 'QR' and the same height 'h', their areas are equal.

Therefore, it is proved that the area of parallelograms PQRS and QRTU are equal.

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Answer:

homework hbu?

Step-by-step explanation:

have a nice day and stay safe:)

Answer:

456.29 miles

Step-by-step explanation:

Hope this helps!

To find the ratio equivalent to another ratio, divide both parts of the ratio by the same number. This will create a new ratio that is equal to the original ratio. For example, to find the ratio equivalent to a ratio of 4:6, divide both 4 and 6 by 2. This results in a new ratio of 2:3, which is equivalent to 4:6.

1. Start by identifying the ratio that you need to find the equivalent of.

2. Divide both parts of the ratio by the same number.

3. This will create a new ratio that is equal to the original ratio.

To find the ratio equivalent to another ratio, divide both parts of the ratio by the same number. This will create a new ratio that is equal to the original ratio.

To find the ratio equivalent to another ratio, divide both parts of the ratio by the same number. This will create a new ratio that is equal to the original ratio. For example, to find the ratio equivalent to a ratio of 4:6, divide both 4 and 6 by 2. This results in a new ratio of 2:3, which is equivalent to 4:6.

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Answer:

The square root of 139 is expressed as √139 in the radical form and as (139)½ or (139)0.5 in the exponent form. The square root of 139 rounded up to 6 decimal places is 11.789826.

Step-by-step explanation:

The rounding off ✓139 to the nearest tenth will be 11.79

What is rounding off ?

Rounding off means a number is made into simpler form by keeping its value fixed but closer to the next number.

To round off the number to the nearest tenth we need to look at the hundredths place digit. If the digit is 1, 2, 3, 4 then we don't have to do anything, if the digit is 5, 6, 7, 8, 9 we must round up.

here, The value of number ✓139 is 11.7898 and value at tenth place is 8 so round up the hundredths place digit, hence the rounded off to the nearest tenth will be 11.79

Therefore, the rounding off ✓139 to the nearest tenth will be 11.79

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The probability that the length of the eel is less than 62 centimeters is 0.0985.

In the given question, the length, x centimeters, of eels in a river may be assumed to be normally distributed with mean 53 and standard deviation 7.

An angler catches an eel from the river.

We have to determine the probability that the length of the eel is less than 62 centimeters.

Eels in a river may be assumed to be normally distributed with mean = μ = 53

Eels in a river may be assumed to be normally distributed with standard deviation = σ = 7

Now the probability that the length of the eel is less than 62 centimeters is

P(x > 62) = 1 - P(x < 62)

P(x > 62) = 1 - P((x - μ)/σ < (62 - 53)/7)

P(x > 62) = 1 - P(z < 1.29)

P(x > 62) = 1 - 0.9015

P(x > 62) = 0.0985

Hence, the probability that the length of the eel is less than 62 centimeters is 0.0985.

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Answer:

5 and  13 are prime numbers

Step-by-step explanation:

Answer:  5, 13,

Step-by-step explanation:

A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.

Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:

∫0.3^10 g(x) dx = 1

Using this information, we can find g(y) by integrating g(x) with respect to x:

g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7

Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):

f(x,y) = g(y) = 1 / 9.7

We need to find the integral of f(x,y) over the rectangle R, which is:

∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928

Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.

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To solve the problem, we can use trigonometry and create a right triangle with one leg being the height of building B, the other leg being the distance between building A and B, and the hypotenuse being the line of sight from the top of building A to the top of building B.

Let's call the height of building B "h". Using trigonometry, we can determine the length of the other leg:

tan(30°) = h / x => x = h / tan(30°)

tan(60°) = h / (10√3 - x) => x = 10√3 - h / tan(60°)

Setting these two expressions equal to each other and solving for h, we get:

h / tan(30°) = 10√3 - h / tan(60°)

h (1/tan(30°) + 1/tan(60°)) = 10√3

h = 10√3 / (1/tan(30°) + 1/tan(60°)))

Plugging in the values, we get:

h = 10√3 / (1/(1/√3) + 1/√3)

h = 20√3

Answer:

Step-by-step explanation:

Let's call the height of building A "hA" and the height of building B "hB". We can use trigonometry to solve for hB.

First, let's draw a diagram:

   B

  /|

hB/ |

/  |

/ 60°\

-----

|   /

|  /

| /

|/

A

We know that the distance between building A and B is 10√3. Let's call this distance "d".

Using the angle of depression of 30°, we can form a right triangle with a leg of hA and a hypotenuse of d. The opposite angle is 60°, so the adjacent side is hA/tan(60°) = hA/√3.

Using the angle of depression of 60°, we can form another right triangle with a leg of hB and a hypotenuse of d. The opposite angle is 30°, so the adjacent side is hB/tan(30°) = hB√3.

We know that the sum of the heights of building A and B is equal to the distance between them, so hA + hB = d.

Putting all of this together, we can set up an equation:

hA/√3 + hB√3 = 10√3

Multiplying both sides by √3:

hA + 3hB = 30

But we also know that hA + hB = d = 10√3, so we can substitute:

hB = 10√3 - hA

Substituting into the previous equation:

hA + 3(10√3 - hA) = 30

Simplifying:

-2hA + 30√3 = 30

-2hA = 30 - 30√3

hA = (15√3 - 15)/(-1) = 15 - 15√3

Finally, we can use hA + hB = 10√3 to solve for hB:

hB = 10√3 - hA = 10√3 - (15 - 15√3) = 25√3 - 15

Therefore, the height of building B is 25√3 - 15.

Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Answer:

It is a repeating decimal.

Answer:

it is 1/8÷2/5= 5/16

Step-by-step explanation:

did that help??????????????????