Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend Harry will draw an even numbered card?

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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Answer:

1.67 + 4

4.5-1.47

Step-by-step explanation:

1.67 + 4 = 5.67

4.5 - 1.47 = 3.03

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

The value of the mean is a 33.75 in the normal distribution.

According to the statement

We have to find that the students' favorite color was red.

So, For this purpose, we know that the

A mean is simply defined as the average of the given set of numbers.

From the given information:

On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.

Then

The interval for score = 45- 30= 15

If we divide it by the 4 standard deviations; the interval result into

= 15/4

= 3.75

Then, the standard deviation is 3.75, and

The mean = 30+ 3.75

The mean = 33.75

So, The value of the mean is a 33.75 in the normal distribution.

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Answer:

Cr = 10

Step-by-step explanation:

To calculate combinations we use the nCr formula: nCr = n! / r! * (n - r)!, where n = number of items, and r = number of items being chosen at a time.

\(C(n,r)=[?]\)

\(C(n,r)=C(5,3)\)

\(=\frac{5}{(3!(5-3)!)}\)

\(=\frac{5!}{3!*2!}\)

\(=10\)

[RevyBreeze]

Answer:

Pi*r^2

Step-by-step explanation:

If your finding circumfrence the equation is Pi*r^2

So your equation would be 3.14*3^2

So 3^2 would be 3*3=9

Multiply 9 by 3.14

your answer would be 28.26

Answer:

-A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

-A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Please give me brainliest, I really need it.

The scenarios in which the statistics are misleading; option 1 and 3.

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

The  numbers which summarize information about the sample are called statistic.

The scenarios in which the statistics are misleading;

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

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Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

Answer:

Their average speed is 18 miles per hour

Step-by-step explanation:

First off find out how long 2hrs and 30mins is in minutes:

60 mins per hour x 2 hours = 120 minutes

120 minutes + 30 minutes = 150 minutes total

He traveled 45 miles in 150 minutes.

Next divide 150 minutes by 60

150 minutes / 60 minutes = 2.5 rate

This means you have to now divide 45 miles by 2.5 as that's the rate

45 miles / 2.5 = 18 miles per 1 hour (60 minutes)

Answer:

p = 7

Step-by-step explanation:

trust me

Answer:

p = 7

Step-by-step explanation:

Given value of q = 4 so,

5p - 11 = 6 × 4

=> 5p = 24 + 11

=> 5p = 35

\( = > p = \frac{35}{5} \)

=> p = 7(Ans)

Answer:

Step-by-step explanation:

Hope this helps! <3

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Answer: b=20

Step-by-step explanation:

Subsitute a for 20.

b=20/4-3

b=20/1

b=20

Answer:

pretty positive it’s 2

Step-by-step explanation:

if a=20 then you’d use pemdas so 20/4=5 then 5-3=2 so b=2

Answer:

17(n+31)=300

Step-by-step explanation:

17 times the sum of a number, n and 31 is 17(n+31)

and then set that equal to 300

Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

The probability that y is between 5.1 and 5.7 is approximately 0.4292.

Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.

Since the sample size is large (n = 70), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as normal with mean μ = 5 and standard deviation σ/sqrt(n) = 2/sqrt(70) ≈ 0.24.

Now we want to find the probability that y, the sample mean, is between 5.1 and 5.7. We can use the standard normal distribution to do this by standardizing y:

z = (y - μ) / (σ / sqrt(n)) = (y - 5) / 0.24

The probability that y is between 5.1 and 5.7 is equivalent to the probability that z is between:

z1 = (5.1 - 5) / 0.24 ≈ 0.42

and

z2 = (5.7 - 5) / 0.24 ≈ 2.92

Using a standard normal distribution table or calculator, we can find that the probability of z being between z1 and z2 is approximately 0.4292.

Therefore, the probability that y is between 5.1 and 5.7 is approximately 0.4292.

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Answer:

Rhombus and/or Square

Answer:

21

Step-by-step explanation:

You need to use the rule that they gave you (1.5t+3). Since t represents the time in weeks, replace t with 12. Now multiply. 1.5x12=18. 18+3=21

Answer:

the answer to this question is that 30 points is all that I need

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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Answer:

Multiply the last value by 0.

Step-by-step explanation:

The question is:

Enter a 4-digit number into the calculator. How would you convert that number to 0 using exactly four accounts?

Solution:

Consider any 4-digit number.

Let the number be, x = 6400.

Convert 6400 to 0 as follows:

Step 1:

Take square root of the number, x = 6400,

\(\sqrt{x} = \sqrt{6400}\\=80\)

Step 2:

Divide the result from step 1 by 10,

\(\frac{\sqrt{x}}{10}=\frac{80}{10}=8\)

Step 3:

Take cube root of the resultant number from step 2,

\(\sqrt[3]{x}=\sqrt[3]{8}=2\)

Step 4:

Multiply the resultant number from step 3 by 0,

\(2\times 0=0\)

Hence converted.

Answer:

35%

Step-by-step explanation:

40 +20 +5= 65

100-65=35%

hope dis helps!

Answer:

35%

i hope it is a answer

The numbers for the first eight beads that are white are; 1, 5, 9, 13, 17, 21, 25, 29

step1

Arithmetic Sequence

We are told that she strings in this order;

Now, after the first white bead, the next white bead is the 5th bead in total.

This means the difference in interval between white beads is; 5 - 1 = 4 beads

Thus, the numbers for the first eight beads that are white are

1, (1 + 4), (1 + 4 + 4), (1 + 4 + 4 + 4)…..

Thus, we have;

1, 5, 9, 13, 17, 21, 25, 29

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Answer:

We can simplify the expression as follows:

4^3 * 4^4 / 4^9

First, we can simplify the terms in the numerator by adding the exponents of 4:

4^3 * 4^4 = 4^(3+4) = 4^7

Now, we can substitute this value in the expression:

4^7 / 4^9

To divide powers with the same base, we can subtract their exponents:

4^(7-9) = 4^(-2)

Therefore, the simplified expression is:

4^3 * 4^4 / 4^9 = 4^(-2)

So, the final answer is 1/16 or 0.0625.

Answer:

to compare -2.3 and -8/3, we need to put them in the same form. We can convert -8/3 to a decimal by dividing -8 by 3, which gives us -2.66667.

Now we can see that -2.3 is greater than -2.66667, so we can write -2.3 > -8/3.

Step-by-step explanation:

Don't worry I can help.

Mathmetics isn't easy. so study

9514 1404 393

Answer:

Step-by-step explanation:

If we assume the ball was kicked from the origin and that it follows a parabolic curve, the equation can be written ...

  y = -kx(x -20)

for some value of k that makes the maximum be 6. The maximum will occur at the value of x that is halfway between the points where the ball is on the ground, so at x=10. Then our value of k is such that ...

  6 = k(10)(20 -10) = 100k

  k = 6/100 = 0.06

The equation describing the ball's flight is ...

  y = 0.06x(20 -x)

A graph is attached.

__

The translated square root function will have a vertical multiplier k that will make it pass through the given point. The parent function f(x) = √x can be translated so its vertex moves from (0, 0) to (-5, 4) by ...

  g(x) = 4 +f(x+5)

Applying the scale factor k gives ...

  g(x) = k·√(x +5) +4

We want g(20) = 29, so ...

  29 = k·√(20 +5) +4

  25 = 5k . . . . subtract 4

  5 = k . . . . . . divide by 5

The equation of the function is ...

  y = 5√(x +5) +4

__

We assume your "graphing form" is "vertex form", as that form is generally conducive to graphing.

We can complete the square by adding and subtracting the square of half the x-coefficient:

  y = x^2 -18x +9^2 +5 -9^2

  y = (x -9)^2 -76 . . . . . equation

  vertex: (9, -76)

  x-intercepts: 9±√76 ≈ {0.2822, 17.1778}

  y-intercept: 5 . . . . (the constant in the given equation)

_____

Additional comment

When the quadratic is written in vertex form ...

  y = a(x -h)^2 +k

the x-intercepts are h±√(-k/a).

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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About -$10.15 that is, on average you lose about 15 cents.

Using the principle of discrete probability, the expected value, which is a measure of the mean amount after many plays is - 2/13

Calculating the required probabilities :

P(winning) = P(drawing an Ace) = 4/52 = 1/13

Hence, P(losing) = 1 - 1/13 = 12/13

X :____ 10 _____ - 1

P(X) : _ 1/13_____ 12/13

The expected value :

E(X) = 10 × (1/13) + - 1(12/13)

E(X) = 10/13 - 12/13

E(X) = - 2/13

Hence, the measure of the mean amount is -2/13.

The victory value is $10, and the loss value is $-1.

Out of a total of 52 cards, this deck has 4 aces.

The probability can then be defined as the ratio of the number of desirable outcomes to the number of possible outcomes.

P(win) = number of favorable outcome/number of the possible outcome

= 4/52

= 1/13

P(loss) = number of favorable outcome/number of the possible outcome

= 48/52

= 12/13

Then we have

$10x1/13 + (-1)x12/13

= 10/13-12/13

= -2/13 dollars

= -$0.15

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Using synthetic division, the solution to the polynomial fraction expression is; 2x² - 10 + 12/(x - 4)

We are given the polynomial fraction as;

(2x³ - 10x + 2)/(x- 4)

This means that we want to divide the polynomial (2x³ - 10x + 2) by (x - 4) using synthetic division.

For the divisor, we have x - 4, and that means x - 4 = 0, x = 4

So, we'll be using 4 for the synthetic division and we have;

-1  |   2     0    -10   2

     ×       0     0    10        

   -------------------------

     2      0    -10   12

Now we will form the expression in the form of fraction again;

2x² - 10 + (12/(x - 4))

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Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.