find x

help please, asap.

Answer:

51

1−2+3−4+5−.....+101

=(1+3+5+.....+101)−(2+4+6+.....+100)

=(1+3+5+.....+101)−2(1+2+3+.....+50)

=(51)

2

−2(

2

50(50+1)

)

=2601−2×1275

=2601−2550

=51

Answer:

10045 rounded to nearest tens is10050

Answer:

[tex](d)\ \beta = 2\ rad[/tex]

Step-by-step explanation:

Given

[tex]L =2[/tex] -- length of the arc

[tex]r = 1[/tex] --- radius of a unit circle

[tex]\beta =[/tex] the subtended angle

Required

Find [tex]\beta[/tex]

The length of an arc is:

[tex]L = r * \beta[/tex]

This gives:

[tex]2 = 1 * \beta[/tex]

[tex]2 = \beta[/tex]

Make [tex]\bets[/tex][tex]\beta[/tex] the subject

[tex]\beta = 2[/tex]

Hence:

[tex]\beta = 2\ rad[/tex]

Answer:

2rad

Step-by-step explanation:

Answer:

a. 482

b. 9.0

Step-by-step explanation:

The speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph

Flight speed in air stream = Flight speed in still air + effect of air stream

If the flight is going opposit, then:

If the flight is going along with flight, then:

For this case, we're specified that:

Speed of flight along the stream is:

[tex]S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8} = 491.25 \: \rm mph[/tex]

Speed of flight against the stream is:

[tex]S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8.3} \approx 473.49 \: \rm mph[/tex]

Let the speed of air stream be y, and that of the flight in still air be x miles per hour, then we get:

Along air stream:

[tex]x + y =491.25\\[/tex] (in miles per hour)

and Against the stream:

[tex]x - y =473.49\\[/tex] (in miles per hour)

Adding both the equations side by side, we get:

[tex]2x + y - y = 491.25 + 473.49\\\\x = \dfrac{964.74}{2} =482.37 \: \rm mph[/tex]

Using this value, we get the value of y as:

[tex]x + y =491.25\\y = 491.25 - x = 491.25 - 482.37 = 8.88 \: \rm mph[/tex]

Rounding to the nearest whole numbers, we get:

x = 482 mph, and y = 9 mph

Thus, the speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph

Learn more about motion in stream here:

https://brainly.com/question/14297576

Answer:

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

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.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.

This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]

Sample of 36:

This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]

Find the probability that they have a mean height greater than 72.3 inches.

This is 1 subtracted by the pvalue of Z when X = 72.3. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]

[tex]Z = 2.86[/tex]

[tex]Z = 2.86[/tex] has a pvalue of 0.9979

1 - 0.9979 = 0.0021

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Answer:

B and D

Step-by-step explanation:

Answer: C

Step-by-step explanation: Hope this help :D

Answer:

As long as the population distribution consists only of positive values, sample size does not matter.

Step-by-step explanation:

As long as the population distribution consists only of positive values, sample size does not matter.

This is a hypothesis because a hypothesis is basically a prediction of what's gonna happen; the other choices are mostly facts that can be backed up, this can only be confirmed after it happens since it can end in different ways. This is a prediction where it says that if the population distribution continues to go on to positive value, then the sample size won't matter; this can come out in different ways, the sample size could matter or it would have to be negative values, e.t.c. This has different ways it could end up.

Answer:

18.84956, 18.84 if rounded to the nearest hundredth, and 18 if rounded to nearest whole number.

Answer:

Step-by-step explanation:

Answer:

C, D, E

Step-by-step explanation:

10% of 33 is the same as the following, 0.1 * 33, 1/10 * 33, and 10/100 * 33, because they are all multiplying 33 by 0.1

Answer:

2 teams

Step-by-step explanation:

13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.

There are 1287 different teams of 5 students can be formed for competitions.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

The Math Olympiad Club consists of 13 students.

And, To form different teams of 5 students can be formed for competition.

Hence, We get;

Number of different teams of 5 students can be formed for competitions is,

⇒ ¹³ C ₅

⇒ 13! / 5! 8!

⇒ 1287

Thus, There are 1287 different teams of 5 students can be formed for competitions.

Learn more about the combination visit:

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Answer:

Step 3 because they didn't add correctly

Answer:

40

Step-by-step explanation:

if you line the numbers up like so you will see the number in the middle is 40

aka the median

20,20,23,40,63,67,73

Answer:

Use Pythagorean Theorem.

Step-by-step explanation:

To find any side of a right angled triangle, we use Pythagorean Theorem. It states that the square of hypotenuse is equal to the sum of squares of it's sides.

Let hypotenuse is a

Perpendicular is b

and base is c

According to the theorem:

a²= b² + c²

Add values and solve for the unknown variable / side.

If you had added the problem, I would have elaborated more but still this will help you out.

Answer:

offer 1= you get 80k for the first offer for 10 years.

offer 2= you get 72k for the second offer for 10 years.

Result:

offer one would be better as you would get more money.

Answer:

answer is C

the slope is 3 and the intercept is (0,2) which is 2

Answer:

50 points

Step-by-step explanation:

Answer:

525 is the constant of proportionality

Step-by-step explanation:

Answer:

Step-by-step explanation:

8d + 54 = 150

Putting value of D = 12 in the equation

8(12) + 54 = 150

96 + 54 = 150

150 = 150

Bringing like terms on one side

150 - 150 = 0

Answer:

Correct.

Step-by-step explanation:

8d+54=150

Putting d=12 we get

8(12)+54=150

96+54=150

150=150

Answer:

x = 13

Step-by-step explanation:

3x + 4x-1 +90 = 180

7x = 91

x = 13

Answer:

Mean = 6.25

Step-by-step explanation:

Data values: 4, 5, 6, 10

Mean = (Sum of all values)/(Number of values)

Mean = (4 + 5 + 6 + 10)/4

Mean = 25/4

Mean = 6.25

The mean for the data shown in the dot plot is 6.25.

The given data is 4, 5, 6 and 10.

We need to find the mean for the data shown in the dot plot.

A dot plot is used to encode data in a dot or small circle. The dot plot is shown on a number line that displays the distribution of numerical variables where a value is defined by each dot.

Now, mean = Sum of all the observations / Total number of observations

=(4+5+6+10)/4

=25/4

=6.25

Therefore, the mean for the data shown in the dot plot is 6.25.

To learn more about the dot plot visit:

https://brainly.com/question/22746300.

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Answer:

Your answer is 24.333.

Step-by-step explanation:

..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.

Answer:

4/20 or 1/5 if you want it simplified

Answer:

it is this one

Step-by-step explanation:

because since x is 4 and y is 8 that one matches up better than any other one

Answer:

The last answer choice

Step-by-step explanation:

Interpretation of internet users

Middle East - about 100 million

North America - about 250 million

Europe - about 500 million

Asia - over 1 billion

Now lets look back at the question.

If Africa has 170 million internet users, according to the graphs, which statement is true.

"Africa has fewer users than the middle east"

This is false as Africa has 170 million users whereas The middle east has about 100 million users

170 mil > 100 mil therefore the statement is false

"Africa has more users then Asia"

This is also false as Asia has the most internet users at 1 billion

Africa has no where near as many users at 170 million users therefore the statement is false

"Africa has more users than Europe but fewer than Asia."

We have already identified that Africa has fewer users than Europe so this one could be it if the other part is true.

"Africa has more users than Europe" This is false as Europe has 500 million internet users while Africa only has 170 million users

Therefore this statement is false

"Africa has more users than the Middle East but fewer users than North America."

Africa has more internet users than the Middle East ( 170 mil > 100 mil ) and fewer users than North America ( 250 mil > 170 mil )

therefore this is the correct statement

Answer:

The shop

Step-by-step explanation:

Given

Shop

[tex]Cost = E9[/tex]

[tex]Bag = 12.5kg[/tex]

Supermarket

[tex]Cost=E1.83[/tex]

[tex]Bag = 2.5kg[/tex]

Required

The better value

To do this, we simply calculate the unit price.

This is calculated as:

[tex]Unit = \frac{Price}{Bag}[/tex]

So, we have:

Shop

[tex]Unit = \frac{9}{12.5}[/tex]

[tex]Unit = 0.72[/tex]

Supermarket

[tex]Unit = \frac{1.83}{2.5}[/tex]

[tex]Unit = 0.732[/tex]

At the shop, the unit price is £0.72 per bag while at the supermarket, the unit price is £0.732

The best value is at the shop, because it is cheaper

i.e.

[tex]0.72 < 0.732[/tex]

Answer:

25/24

Step-by-step explanation:

simplify: 2/3-1/4 to 5/12

5/8+5/12

=25/24

Answer:

Step-by-step explanation:

Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24

Answer:

n=42

Step-by-step explanation:

14/7=n/21

2=n/21

42=n

n=42

Answer:

n = 42

Step-by-step explanation:

14/7 = 2

42/21 = 2