Write fraction or mixed number as decimal 27/75

Answer:

5 Km = 5000 meters, so 5000m/ 200m (scale factor)= 25 cm

Step-by-step explanation:

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Only the first statement is false. The rest are true statements about the Central Limit Theorem.

The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.

It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.

The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.

Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.

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Answer:

23

Step-by-step explanation:

3x = 69°

This is because they are vertically opposite angles.

You would have to divide 69 by 3.

69 ÷ 3 = 23

23 · 3 = 69

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

Answer:

the third one where they intersect at 2 and -2

Step-by-step explanation:

Answer:

12 times

Step-by-step explanation:

first, find out how much she makes weekly.

40 (hours per week she works * 30 ($ she will earn per hour)

40 * 30 = 1200 per week

for 52 weeks so multiply that by her weekly pay

multiply her weekly pay (1200) by the weeks she works annually (52)

52 * 1200 = 62,400

she makes just $62,400 (annually, before taxes) with her new employer

subtract how much more money she needs

62,400 - 63,300 = -900

she needs 900 dollars

divide by the money she makes on weekends (for dog sitting)

900/75 = 12

she will need to dog sit at least 12 times to make approx. $63,300 annually, before taxes.

hope this helps:)

Answer:

As a former runner upper Senior Class Secretary I can say that your classmates need the following:

1. To be respected, even when others may not respect them.

2. They need a leader who can listen to what they have to say and DO SOMETHING about it.

3. They need the feeling of commitment when given the oppurtunity to improve.

4. They need rules, guidlines and restrictions.

(I would advocate that we have a strong leader....Is it going to be you?)

Answer:

me gusta las mujeres :)

Step-by-step explanation:

Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.

If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives

-csc²(y) y' = 1

y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)

Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by

∇ f(a, b) • v

Compute the gradient ∇ f(x, y) :

∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j

At the point P, we have

∇ f(x, y) = - 8/17 i - 8/17 j

So, the derivative of f at P along v = - 4 i + 5 j is

(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer: Im gonna say 12

Step-by-step explanation:

Answer: the answer is 6

Step-by-step explanation: I took the quiz

Answer:

yes, it is right triangle

Step-by-step explanation:

to know if it is right triangle or not, you need to assume that the longest side is the hypotenuse which is 13.

next, the angle between 12 and 5 must be 90 to prove that it was right triangle

to prove that, let's use cosinus theorem

\( {13}^{2} = {12}^{2} + {5}^{2} - 2(12)(5) \cos(x) \\ 2(12)(5) \cos(x) = {12}^{2} + {5}^{2} - {13}^{2} \\ \cos(x) = \frac{ {12}^{2} + {5}^{2} - {13}^{2} }{2(12)(5)} \\ \cos(x ) = 0 \\ x = 90\)

from that, we know it is a right triangle

\(4\frac{1}{2}\) as a percentage is 450% and \(4\frac{1}{2}\) as a decimal is 4.5

So, your answer would be the last option!

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

Have a great day and God bless! :D

Answer:

$76.

Step-by-step explanation:

Coordinates - A pair of integers that show the location of a point on a graph. The first number represents the x-axis, while the second represents the y-axis.

Other names for this type of pair are ordered pair and numbered pair. A proportionate connection is one in which the values are all connected by the same constant value. A proportionate connection is also known as a linear relationship in mathematics.

Assume f(x) and g(x) are two functions that accept a real number as input and return a real number as output.

The intersection points of f(x) and g(x) are then those x values for which f(x)=g(x).

The precise numbers can sometimes be discovered by algebraically solving the equation f(x)=g(x).

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The simplified ratio of miles to gallons is 14:1. The solution has been obtained by using the concept of ratios.

What are ratios?

A ratio is a comparison or condensed version of two identical values. The reciprocity of this relationship tells us how many times one quantity is equal to the other. To put it simply, a ratio is a number that can be used to represent one thing as a percentage of another.

We are given the distance to be 189 miles and the volume of gas 13\(\frac{1}{2}\) gallons.

So, in order to find the ratio of miles to gallons, we need to divide 189 miles onto 13\(\frac{1}{2}\) gallons of gas.

We get

189/13.5 = 14

Hence, the ratio of miles to gallons is 14:1.

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Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Step-by-step explanation:

slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.

y=mx+b

the y-intercept is always be so graphing is now easy

put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical

now to make a equation for a point you put it in y=mx+b.

please mark me brainliest if this helped

Answer:

They all make the equation false?

Answer:

10m×1.5m=15m squared total area of the wall

15×100=1500

1500÷200=7.5 bricks would be needed for that wall.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Albert

Compound interest formula:

where:

A: final amount

P: principal

r: annual interest rate, as a decimal

t: time in years

n: number of times interest applied per year

Substituting with P = $1000, r = 0.012 (= 1.2/100), n = 12 (interest is compounded monthly), t = 10 years, we get:

If $500 lost 2%, then it keeps 98% of its original value, that is,

$500x98% = $490

Continuous compound formula:

where the variables have the same meaning as before.

Substituting with P = $500, r = 0.008 ( = 0.8/100), and t = 10 years, we get:

The balance of Albert’s $2000 after 10 years is:

$1127.43 + $490 + $541.64 = $2159.07

Marie

Substituting in the compound interest formula with P = $1500, r = 0.014 (= 1.4/100), n = 4 (interest is compounded quartely), t = 10 years, we get:

Answer:

59% decrease

Step-by-step explanation:

Answer:

y=70x+20

Step-by-step explanation:

Okay so the slope is determined by having two points on the line in this case one of them is (0,20) and (2,160), you're going 140 up and 2 over so the slope would be \(\frac{140}{2}\) which equals 70 so thats how you get m, to get b you simply put the y interecept which is at 20.

Plugs those numbers together you get y=70x+20 which is intercept form.

The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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Answer:

a

Step-by-step explanation:

conditional equation I this this will help you ♥️