a party of 9 friends,
they had 34 cooked
chicken wings but then
they cooked 11 more. If
they each got the same
amount, how many
chicken wings would each
person get?​

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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Answer: She started with 28 pieces of candy.

Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.

Answer:

She started with 28 candies.

Explanation:

Let the total amount of candies be c

Build equation:

→ remaining: c - 8

→ each gets: (c - 8)/5

Here given each gets 4 candies

So,

(c - 8)/5 = 4

c - 8 = 5(4)

c - 8 = 20

c = 20 + 8

c = 28

Answer:

b =-2

Step-by-step explanation:

-3b+7=13

Subtract 7 from each side

-3b+7-7=13-7

-3b = 6

Divide each side by -3

-3b/-3 = 6/-3

b = -2

Answer:

b=-2

Step-by-step explanation:

-3b+7=13

     -7  -7

-3b=6

/-3   /-3

b=-2

For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

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Answer:

= X + 8.2

Step-by-step explanation:

Answer:

(1). 450 degree and 90 degree.

(2). - 270 degree and - 990 degree.

Step-by-step explanation:

So, we are given the the following data or parameters in this question or problem; A = -630 degree, and we are to look for the next two positive and two negative angles that are coterminal with the given quadrantal angle.

For the positive(+ve) angles we have that;

- 630 degree + 1080 degree = 450 degree; and - 630 degree + 720 degree= 90 degree.

For the negative(-ve) angles we have that;

- 630 degree + 360 degree= - 270 degree and - 630 degree - 360 degree = - 990 degree.

Answer:

An equation in standard form is -x^2-15=0.

Step-by-step explanation:

-x^2=15

-x^2-15=0

ax^2+bx+c=0

-x^2-15=0

(i) The probability that it will take more than 10 minutes to serve a customer is approximately 0.1353.

(ii) The probability that a customer shall be free within 4 minutes is approximately 0.4866.

To solve this problem, we can use the exponential distribution formula. The exponential distribution is often used to model the time between events occurring at a constant average rate. In this case, we want to find the probability of specific service times.

Let's denote λ as the average number of customers served per hour. Given that 20 customers are served on average, we can determine λ by dividing the average number of customers by the time taken to serve them, which is 1 hour. Therefore, λ = 20 customers/hour.

Now, we can calculate the probability using the exponential distribution formula:

(i) To find the probability that it will take more than 10 minutes to serve a customer, we need to convert 10 minutes to hours, which is 10/60 = 1/6 hour. Let's call this value x.

The probability can be calculated as P(X > x) = 1 - P(X ≤ x), where X follows an exponential distribution with rate parameter λ.

P(X > 1/6) = 1 - P(X ≤ 1/6)

          = 1 - (1 - \(e^{(-\lambda x))\)     [Using the cumulative distribution function (CDF) of the exponential distribution]

          = \(e^(- \lambda x)\)

          = \(e^{(-20/6)\)

          ≈ 0.1353

(ii) To find the probability that a customer shall be free within 4 minutes, we convert 4 minutes to hours, which is 4/60 = 1/15 hour. Let's call this value y.

The probability can be calculated as P(X ≤ y), where X follows an exponential distribution with rate parameter λ.

P(X ≤ 1/15) = 1 - \(e^{(-\lambda y)\)

           = 1 - \(e^{(-20/15)\)

           ≈ 0.4866

Therefore, the probability that a customer shall be free within 4 minutes is approximately 0.4866.

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Using the angle addition postulate, the angle measures are:

\(m\angle RSQ = 28^{\circ}\\\\m\angle QST= 33^{\circ}\)

(See the image attached below showing the angles given.)

Recall:

The angle addition postulate states that two smaller angles within a bigger angle will add up to give the sum of the larger one.

Given:

\(m \angle RST = 3x + 7\\\\m \angle QST = 5x - 2\\\\m \angle RST = 61\)

\(m\angle RSQ + m\angle QST = m\angle RST\) (angle addition postulate)

\(3x + 7 + 5x - 2 = 61\)

\(8x + 5 = 61\\\)

\(8x + 5 = 61\\\\8x = 61 - 5\\\\8x = 56\)

\(x = 7\)

\(m\angle RSQ = 3x + 7\)

\(m\angle RSQ = 3(7) + 7\\\\m\angle RSQ = 28^{\circ}\)

\(m\angle QST= 5x - 2\)

\(m\angle QST= 5(7) - 2\\\\m\angle QST= 33^{\circ}\)

Therefore, using the angle addition postulate, the angle measures are:

\(m\angle RSQ = 28^{\circ}\\\\m\angle QST= 33^{\circ}\)

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Answer:

1) x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

2) x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

Step-by-step explanation:

1.-Quantity of salt in the tank after t minutes

The rate  of change of the quantity of salt in the tank is:

dx(t) /dt   =  original quantity (0) + input quantity - output quantity  (1)

quantity = concentration* rate   Then

input quantity   =  0.04 Kg/lt * 5 Lt/min + 0.06 Kg/lt * 10Lt/min  =  0.2 Kg/min

+ 0.6  Kg/min  =  0,8 Kg/lt

output quantity =  Output concentration * rate of draining

rate of draining = 15 Lt/min

The input quantity and the output quantity occur at the same rate therefore the volume in the tank is constant  1000Lt.

output quantity = (x/1000 )*15

Plugging these values in equation (1) we get.

dx/dt  =  0,8  -  ( x/1000)* 15

The last one is a differential first-order equation like

x´ +  P(t)*x = q(t)

and the solution is:

x*μ   =  ∫ q(t)*μ*dt  + C

where    μ  is the integration factor   e ∧ ∫p(t)*dt

let´s call  b = -15/1000

μ = e ∧ ∫p(t)*dt  =  e∧∫ b*dt  =  e∧ b*t = e∧ ( -15/1000)*t

μ  =  e∧ - (15/1000)*t

Then  x*μ    =   x *  e∧ - (15/1000)*t

∫ q(t)*μ*dt  = ∫  0.8 * e∧ - (15/1000)*t*dt  =  0.8 * ∫ e∧bt * dt  

 ∫ q(t)*μ*dt  = 0.8 * ( 1/b ) e∧bt  = - 0,8 *( 15/1000) * e∧ ( - 15/1000)*t

∫ q(t)*μ*dt  = - (12/1000)*  e∧ ( - 15/1000)*t

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t + C

Initial condition  t = 0  x = 0

0  =  - (12 / 1000 )* e⁰ = C

C = 12/1000

x *  e∧ - (15/1000)*t  =   - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000

x  =  [ - (12/1000)*  e∧ ( - 15/1000)*t  + 12/1000 ] /e∧ - (15/1000)*t

When t = 60 min

x =   [ - (12/1000)*  e∧ ( - 15/1000)*12 + 12/1000 ] / e∧ - (15/1000) * 12

x =  - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18

Answer:

Step-by-step explanation:

To find the median, we need to find the middle value when the data is arranged in increasing order. We can use the cumulative probability to do this:

Number of Shows Streamed Probability Cumulative Probability

0 0.095 0.095

1 0.203 0.298

2 0.326 0.624

3 0.187 0.811

Since the cumulative probability for 2 is the smallest value greater than 0.5, the median is 2. Therefore, the median number of TV shows streamed is 2.

The histogram appears to have a roughly symmetric shape, which supports the assumption that the distribution is approximately normal.

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer:

B: 8

Step-by-step explanation:

When you add a negative number, it means you subtract that number.

\(17+-9=17-9=8\)

Answer:

48 square units

Step-by-step explanation:

Let the length of the rectangle be x units.

By Pythagoras theorem:

\(x = \sqrt{ {10}^{2} - {6}^{2} } \\ x = \sqrt{ 100 - 36 } \\ x = \sqrt{64} \\ x = 8 \: units \\ \)

Length of rectangle = 8 units

Area of rectangle

= Length * width

= 8 * 6

= 48 square units

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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In a case where a = 11 ft, b = 5 ft, and c = 7 ft, the surface area of the geometric shape formed by this net is B. 145 sq. ft.

The concept that will be used here is area of triangle, we will we need need to know the area of the first 2 triangles

The area of the triangle can be expressed as :

A =( 1/2 bh)

A = (1/2 ba)

Then substitute the values we have,

a = [1/2 (11 ft.) (5 ft)]

a =  27.5 sq ft.

Then we can find the value of the area as :

A = [1/2 c*b]

If we substitue the values we,

a = [1/2 (5 ft) (7 ft)]

= 17.5 sq. ft

Then we can proceed to calculate the area of the rectangle which can be done using the formula:

A = (lw) where a = (11 ft.)(5 ft.) = 55 sq. ft

We can now find the summation of all the a's as :

[2(27.5) + 2(17.5 ) + 55 ]

= 145 sq. ft.

Therefore, option B is correct.

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missing options:

A. 167 sq. ft.

B. 145 sq. ft.

C. 117.5 sq. ft.

D. 147 sq. ft.

Answer:i took the test

Step-by-step explanation: 76879686

Answer:

B on edge 2022

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

Answer:

circumference (c) , radius (r)

Step-by-step explanation:

c=2 pi r

c=2*3.14 *39

c= 244.92cm

Answer:

The circumference is about 22.14cm

Step-by-step explanation:

This is because first you take the area and multiply it by pi. Next you take the square root of this number. Now you take this number and multiply it by 2 to get 22.14.

Hope I helped! Have a Great rest of your day! :-)

Answer:

Paul earned 21 points and Jamie earned 39 points.

Step-by-step explanation:

So, you start off with 60-18=42. Now, you have how much they earned minus Jamie's bonus 18. So, now that they have earned the same amount, you divide 42/2=21. So, now you know how many points Paul earned, 21, and now you just have to add the points Jamie earned that Paul didn't back to their score. 21+18=39

Answer:

5⁰

Step-by-step explanation:

It appears that this angle goes from the 85⁰ mark to the 90⁰ mark. 90-85=5 so the angle is 5⁰

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!

Answer:

5/18, 13/18

Step-by-step explanation:

The basic probability of anything is Specific Outcome / Total Outcomes

The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18

The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.

Answer:

Slope "m" = (y2 – y1)/(x2 – x1).

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1) or rise over run

Answer:

y=mx+b.

Step-by-step explanation:

m represents the slope, or how much the line is increasing/decreasing per every one unit right, and b represents the y-intercept, or the point at which the line crosses the y-axis. y and x don't really represent anything, they just fit in the equation. For example, if a line goes up 2 for every one it goes right, and crosses the y-axis at -3, the equation would be y=2x-3.