Please help!!! These are the options
From the table Riley is moving forward on the interval [0,
A.4.5 B. 1.5 C.3 D.6.
It takes Riley A.3 B.4.5 C.6 D.1.5 seconds to swing forward,back and then return to her standing position. Riley reaches a maximum distance of A.6.75 B.38.9 C.1.5 D.55 inches of her starting position.

Answer:

1) 70 for both of them

2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range

3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR

4) A: 80, B: 85

5) A: 65, B: 60

6) 50

7) 100

8) Plot B, see #2 for work

9) 50% - 50% of data is always between Q1 and Q3

10) 25%

11) 25%

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:

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:

[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:

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:

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:

x = 13

Step-by-step explanation:

3x + 4x-1 +90 = 180

7x = 91

x = 13

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.

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Answer:

blue piece is 1/2 because it takes up half of the square, the purple is only 1/4 because it would take 4 purple to fill the big square and the orange is half of the purple so it takes double of pieces so 8 pieces which is 1/8

Answer:

Step 3 because they didn't add correctly

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:

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.

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Answer:

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

Answer:

18.68 feet

Step-by-step explanation:

- Just did the quiz

- Also plugged it into a calculator I found online

Answer:

18.68 feet

Step-by-step explanation:

it passed the quiz

1: 1

3: 4

5: 9

7: 16

sorry if this doesn't make sense if it does i hope it helped:)

Answer: C

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

Answer:

answer is C

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

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:

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:

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

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