[50 pts, will mark right answer as Brainliest] A bag contains the following prize tickets:
• 6 tickets labeled “8-ounce bottle of SLIME”
• 2 tickets labeled “4 RINGTONES”
• 8 tickets labeled “32-ounce SLUSHIE”
• 4 tickets labeled “16-ounce ICE CREAM SUNDAE”.
Each of the 190 7th grade students who passed the Math benchmark test will draw a prize ticket from the bag. The prize will be recorded for that student, then the ticket will be returned to the bag. Problem What is a reasonable prediction for the number of times a slushie or an ice cream sundae prize ticket will be drawn?

i'm gonna assume that "leg" refers to length of the triangle, so comment if you think it is wrong.

Now when it comes to a right-angled triangle, the pythagoras theorem formula can be used.

Using algebra,

let the missing length be X.

By pythagoras theorem,

5² = 3² + X²

5² - 3² = X²

X² = 5² - 3²

X = sq root ( 5² - 3² )

= 4 m

Therefore, the length of the missing leg is 4m .

To solve this problem, we can use Table 1 (which is a table of values for the cumulative distribution function of the binomial distribution).

(a) To find P(3 < y < 7), we need to calculate the probability of getting between 4 and 6 successes (inclusive) in 10 trials, where the probability of success in each trial is 0.4.

Using Table 1, we can find these probabilities by looking up the values for the cumulative distribution function (CDF) of the binomial distribution. Specifically, we need to find P(y ≤ 6) and P(y ≤ 3), and then subtract the latter from the former to get the probability of getting between 4 and 6 successes.

To find P(y ≤ 6), we look up the row for n = 10 and p = 0.4, and then find the value in the column for y = 6. This value is 0.9688.

To find P(y ≤ 3), we look up the row for n = 10 and p = 0.4, and then find the value in the column for y = 3. This value is 0.3823.

Subtracting P(y ≤ 3) from P(y ≤ 6), we get:

P(4 ≤ y ≤ 6) = P(y ≤ 6) - P(y ≤ 3)
= 0.9688 - 0.3823
= 0.5865

Therefore, the probability of getting between 4 and 6 successes (inclusive) in 10 trials, where the probability of success in each trial is 0.4, is 0.5865.

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The length of the missing side (hypothenuse) is equal to 5

"Information available from the question"

Opposite side of the triangle(y) = 3

Adjacent side of the triangle (z)= 4

Hypothenuse side of the triangle = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

\(x^{2} =y^2+z^2\)

Let's substitute the values into the formula and solve for the hypothenuse

\(x^{2} =3^2+4^2\)

\(x^{2}\) = 9 + 16

\(x^{2}\) = 25

\(x=\sqrt{25}\)

x = 5

The length of the missing side (hypothenuse) is equal to 5.

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Just put the value

3bc - d

3 × -2 × 5 - 10

-30-10

-40

Therefore -40 is the correct answer

Answer:  -40

3. -2= -6

-6. 5= -30

-30-10=-40

The probability  is 0.0808 or 8.08%

To answer this question, we need to use the normal distribution formula:

Z = (X - μ) / σ

where:

Z = the standard score or z-score

X = the value we want to find the probability for (in this case, X = 173)

μ = the mean (μ = 180)

σ = the standard deviation (σ = 5)

Substituting the values, we get:

Z = (173 - 180) / 5 = -1.4

Using a calculator or a standard normal distribution table, we can now determine the likelihood of getting a value below -1.4.

We can determine the probability that corresponds to a z-score of -1.4 by using a standard normal distribution table, which is approximately 0.0808.

Therefore, the probability of getting less than 173 calls during a given hour of the day is 0.0808 or 8.08% (rounded to the nearest thousandth).

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Statistical Process Control (SPC) is a methodology used in quality management to monitor and control processes. It involves the application of statistical techniques to measure.

Statistical Process Control (SPC) is a powerful tool used to monitor and control processes in various industries. It utilizes statistical techniques to analyze process data, identify trends, and make informed decisions to improve process performance.

The primary objective of SPC is to ensure that a process operates within its specified limits and meets the desired quality standards. SPC involves the collection.

Analysis of data over time to understand process behavior and make necessary adjustments to maintain control. By monitoring and controlling the process variation, SPC helps to reduce defects and improve overall quality.

The key components of SPC include:

1. Control Charts: Control charts are graphical tools used to plot process data over time. They provide a visual representation of process variation and help identify when a process is in or out of control.

Control charts have upper and lower control limits that define the acceptable range of variation. Any data points outside these limits indicate special causes of variation that require investigation and action.

2. Data Collection and Analysis: SPC requires the collection of accurate and representative data. Data is collected at regular intervals and analyzed using statistical techniques such as mean, range, standard deviation, and process capability analysis.

These analyses help understand process performance, identify trends, and evaluate the capability of the process to meet customer requirements.

3. Process Monitoring and Improvement: SPC enables real-time process monitoring and provides timely feedback on process performance. It helps identify and address issues before they lead to defects or non-conformances.

By detecting trends or shifts in process performance, SPC allows for proactive intervention to maintain control and prevent quality problems.

4. Continuous Improvement: SPC is a fundamental aspect of a continuous improvement culture. By regularly monitoring process data, analyzing performance, and making data-driven decisions, organizations can identify areas for improvement and implement targeted changes to enhance process efficiency and quality.

Statistical Process Control (SPC) is a systematic approach to monitor and control processes using statistical techniques. It helps organizations maintain control, reduce defects, and improve overall quality by analyzing process data, identifying sources of variation, and making data-driven decisions.

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Answer:

25 ft

Step-by-step explanation:

5x = 10² ⇒ x = 20

h = 20 + 5 = 25 ft tall

Answer:.

Step-by-step explanation:

look it upp i got it

9514 1404 393

Answer:

  A, B, C, D, F . . . as written

Step-by-step explanation:

Any mixed number, fraction, or finite or repeating decimal is rational. The only one in your list that is irrational is E, which appears to be a non-repeating, non-terminating decimal.

__

Your B selection appears to be 11² = 121, an integer and a rational number.

If your B selection is supposed to be √11, then that number is irrational, as it is not the root of a perfect square.

E is irrational; B is rational as written, but irrational if it should be √11. All the others are rational.

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

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Answer: 60.07*

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

do u mean decimal to a fraction

Answer:

0.875

Step-by-step explanation:

7/8 in a decimal form is 0.875

Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

Time taken to drive to work is;

= 61.5 - 35 ½

= 26 minutes

Using Division property of equality the cost of one apple is $0.45.

To find the cost of one apple, we can use the Division property of equality. This means that we can divide both sides of the equation by the same number in order to find the cost of one apple.

In this case, we have:

8 apples = $3.60

To find the cost of one apple, we can divide both sides of the equation by 8:

8 apples / 8 = $3.60 / 8

This simplifies to: 1 apple = $0.45

Therefore, the cost of one apple is $0.45.

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Therefore, at the given point (1, 1, 2, 4), ∂u/∂t = (ln(2) / 2) × ∂t/∂u, and ∂t/∂u cannot be determined from the given equation.

To calculate the partial derivatives ∂u/∂t and ∂t/∂u using implicit differentiation of the given equation, we'll differentiate both sides of the equation with respect to the variables involved, treating the other variables as constants.

Let's break it down step by step:

Given equation: (-2ln(-x) = ln(2)(tx - v) × 2ln(w - uv) = ln(2)

We'll differentiate both sides of the equation with respect to u and t, treating x, v, and w as constants.

Differentiating with respect to u:

Differentiate the left-hand side:

d/dt (-2ln(-x)) = d/dt (ln(2)(tx - v))

-2(1/(-x)) × (-1) × dx/du = ln(2)(t × du/dt - 0) [using chain rule]

Simplifying the left-hand side:

2(1/x) × dx/du = ln(2)t × du/dt

Differentiating with respect to t:

2ln(w - uv) × d/dt (w - uv) = 0 × d/dt (ln(2))

2ln(w - uv) × (dw/dt - u × dv/dt) = 0

Since the second term on the right-hand side is zero, we can simplify the equation further:

2ln(w - uv) × dw/dt = 0

Now, we substitute the given values (1, 1, 2, 4) into the equations to find the partial derivatives at that point.

At (1, 1, 2, 4):

-2(1/(-1)) × dx/du = ln(2)(1 × du/dt - 0)

2 × dx/du = ln(2) × du/dt

dx/du = (ln(2) / 2) × du/dt

2ln(w - uv) × dw/dt = 0

Since the derivative is zero, it doesn't provide any information about ∂t/∂u.

Therefore, at the given point (1, 1, 2, 4):

∂u/∂t = (ln(2) / 2) × ∂t/∂u

∂t/∂u cannot be determined from the given equation.

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Answer:

B- 5 inches

Step-by-step explanation:

Answer: wider distribution.

Step-by-step explanation:

To determine the value of c that allows a function to serve as a probability distribution for a discrete random variable X, we need to ensure that the function satisfies two properties: non-negativity and the sum of probabilities equals 1.

(a) For the function f(x) = \(c(x^2 + 4)\), we need to determine the value of c. To satisfy the properties of a probability distribution, we must ensure that f(x) is non-negative for all possible values of x and that the sum of probabilities equals 1.

The possible values of x are 0, 1, 2, and 3. We can evaluate f(x) for each value of x:

f(0) = c(0^2 + 4) = 4c

f(1) = c(1^2 + 4) = 5c

f(2) = c(2^2 + 4) = 8c

f(3) = c(3^2 + 4) = 13c

For f(x) to serve as a probability distribution, all values of f(x) must be non-negative. Therefore, we need to ensure that 4c, 5c, 8c, and 13c are all non-negative. This implies that c must be greater than or equal to 0.

f(0) + f(1) + f(2) + f(3) = 4c + 5c + 8c + 13c = 30c

For the sum of probabilities to equal 1, we must have:

30c = 1

Solving for c, we find c = 1/30.

(b) For the function f(x) = c^(2x)^(3(3-x)), we can follow a similar approach. We need to ensure that f(x) is non-negative for all possible values of x and that the sum of probabilities equals 1.

The possible values of x are 0, 1, and 2. Evaluating f(x) for each value:

f(0) = \(c^(2(0))^(3(3-0)) = c^0 = 1\)

f(1) = \(c^(2(1))^(3(3-1)) = c^2^6 = c^12\)

f(2) =\(c^(2(2))^(3(3-2)) = c^4^3 = c^12\)

To satisfy the non-negativity property, we need to ensure that c^12 is non-negative, which implies that c must be greater than or equal to 0.

To satisfy the sum of probabilities equaling 1, we sum up the probabilities:

\(f(0) + f(1) + f(2) = 1 + c^12 + c^12\)

However, since c must be greater than or equal to 0, we conclude that there is no valid value of c that allows the function f(x) = c^(2x)^(3(3-x)) to serve as a probability distribution.

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The amount to be paid is more on credit card 2 is more, it must be paid first.

Card 1:

Current balance = $8,312.69

Annual percentage rate APR = 24.16%

Credit limit = $10,000.

Used amount = $10,000 - $8,312.69

Used amount = 1687.31

A = P\((1 + r/n)^{nt}\)

P = $1687.31

r = 24.16% = 0.2416

Take n = 1 and time = 1 year.

A =  1687.31*\((1 + 0.2416/n)^{1*1}\)

A = 1687.31 * 1.2416

A = $2094.96

For Card 2:

Current balance = $1,180.34

APR = 21.15%

Credit limit = $75,00

Used amount = $75,00 - $1,180.34

Used amount = $6319.66

A = 6319.66*\((1 + 0.2115/n)^{1*1}\)

A = 6319.66 * 1.2115

A = $7656.26

As the amount to be paid is more on credit card 2 is more, it must be paid first.

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The initial rate of the scuba is -8 1/2 feet per minute

The given parameters are:

Final rate = -12 3/4 feet per minute

Final rate = 1 1/2 times the initial rate

This means that:

-12 3/4 feet per minute = 1 1/2 times the initial rate

Rewrite the expression as:

-12 3/4 feet per minute = 1 1/2 * initial rate

Express as improper fractions

-51/4 feet per minute = 3/2 * initial rate

Multiply through by 2/3

Initial rate = -8 1/2 feet per minute

Hence, the initial rate of the scuba is -8 1/2 feet per minute

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Answer:

H=4.243

Step-by-step explanation:

Formula: A^2+B^2=C^2

(3)^2+(3)^2=C^2

9+9=C^2

sqrt18=C

C=4.242640....

Answer:

A. Line r intersects line p

Step-by-step explanation:

to find the second graph multiply the slope of line p by -10

slope is 1/5 or 0.2

So,

0.2 * -10 = -2

slope of second line is -2

Graph shown

Altered line shown in blue

Line p shown in green

As you can see, they intersect and meet no other answers

Answer:

3 laps per day

Step-by-step explanation:

Divide 45 laps by 5 days to get how many laps they ran per day

45/5 = 9 laps per day

The tennis players run 6 less laps per day than the soccer players so subtract 6 laps from 9 laps to get their daily laps

6-9 = 3 laps per day

Kari can buy 30 AA batteries and 30 D batteries. We used simple LCM for this solution.

To find the smallest number of each battery type that Kari can buy, we must find the least common multiple (LCM) of 6 and 10. The LCM is the smallest multiple that both numbers can divide into evenly. To find the LCM, we can list the multiples of each number until we find a common multiple. In this case, the LCM of 6 and 10 is 30. So, Kari can buy 30 AA batteries and 30 D batteries, which gives her an equal number of both battery types.

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Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

Type I error is:

" Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 "

Type II error is:

"Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29 "

What is proportion?

An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

In Statistics, a  type I error is the rejection of a true null hypothesis

and  a type II error is the non-rejection of a false null hypothesis

Given that p = 0.29 is accepted

Now type I error is

C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

i.e. (false positive)

and type II error here is

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.

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The recipient would get the whole face value less any unpaid premiums from the insurance company.

This is further explained below.

Generally, A premium is a sum of money that is paid on a regular basis to an insurer by the insured as payment for risk coverage. In the context of an insurance contract, the risk is passed from the insured party to the insurance company. The amount that the insurance charges the policyholder, known as the premium, for bearing this risk.

In conclusion, The recipient would get the whole face value less any unpaid premiums that were accrued in arrears.

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Answer:

x = 308 feet

Step-by-step explanation:

tan = opp/adj

tan72 = x/100

multiply both sides by 100

100 * tan72 = x

Use calculator

x = 307.76835371752534

Rounded

x = 308 feet