what is 1+1?


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The standard error of sample proportion (p) of defective components is (d) 0.0302.

The standard error of the sample proportion (p) can be calculated using the formula:

\(SE = sqrt [p(1-p) / n]\)

where p is the proportion of defective components, n is the sample size, and SE is the standard error.

To find the answer, we need to plug in the given values:

p = 15/120 = 0.125 (proportion of defective components)

n = 120 (sample size)

\(SE = sqrt [0.125(1-0.125) / 120]\)

\(SE = sqrt [0.109375 / 120]\)

\(SE = 0.0302\)

The standard error is a measure of the variability of the sample proportion around the true population proportion.

It is calculated based on the sample size and the proportion of the sample that has the characteristic of interest (in this case, the proportion of defective components).

The formula for the standard error of the sample proportion involves taking the square root of the product of the sample proportion, its complement (1-p), and 1/n.

Once we plug in the values for p and n, we can calculate the standard error as 0.0302.

This means that we can be 95% confident that the true proportion of defective components in the population is within +/- 2 standard errors of the sample proportion (assuming a normal distribution).

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Answer:

For the second question, 4 busses and 3 cars.

Step-by-step explanation:

It's really simple actually, but sorry I can't come up with an equation. You can just add or multiply students per bus and students per car until you get to 195.  Each bus can hold 45 students, so 45 x 4 = 180. Each car can hold 5 students, so 5 x 3 = 15. In total, 15 + 180 = 195 students.

Answer:

2.83 seconds

Step-by-step explanation:

In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.

When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:

0 = -16t^2 + 128

Dividing both sides by -16, we get:

t^2 = 128/16

t^2 = 8

Taking the square root of both sides, we get:

t = ±√8

Since time cannot be negative, we take the positive square root:

t = √8 ≈ 2.83 seconds

Therefore, it will take the rock approximately 2.83 seconds to reach the river.

Solution

For this case we can see that < XQL and < MQR are opposed by the vertex so then are equal

And if we set up equal the measures given we got:

-12x+133= 3x+79

Now we can solve for x. We can add 12x in both sides of the equation and we got:

133= 15x+79

Now we can subtract both sides of the equation 79 and we got:

54= 15x

And finally we got:

x= 54/15= 3.6º

Now we can find the angle < MQR replacing the value of x like this:

Population density of a city is given by P(x, y) = - 20x² - 20y² + 400x + 280y + 190Where x and y are miles from the southwest corner of the city limits and P is the number of people per square mile.

To find the maximum population density, differentiate the given expression with respect to x and y respectively and equate it to zero. Then we can solve the two equations for x and y to get the maximum population density.

To find the maximum population density, differentiate the given expression with respect to x and y respectively and equate it to zero. Then we can solve the two equations for x and y to get the maximum population density.

Differentiating the given expression with respect to x:

P(x,y) = - 20x² - 20y² + 400x + 280y + 190∂P/∂x = - 40x + 400When ∂P/∂x = 0, we get,- 40x + 400 = 0x = 10 Differentiating the given expression with respect to y:

P(x,y) = - 20x² - 20y² + 400x + 280y + 190∂P/∂y = - 40y + 280When ∂P/∂y = 0, we get,- 40y + 280 = 0y = 7

Therefore, the maximum population density occurs at x = 10 and y = 7.The maximum population density is people per square mile at (x,y) = (10, 7).

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Answer: yes

Step-by-step explanation:

12    3

4     1

to get to 3 from 12 you divide by 4 and to get from 4 to 1 you also divided by 4

The salary of the previous year is $36,000 and salary of the following year is $43,560.

Given that, You are offered a job with a start $39000 turning the 1st year with an annual increase of 10% per year in the 2nd year.

Beginning in year 2 your to your salary will be 1.1 times

1st year: $36,000

According to the question, we can formulate 36,000(1.1)³

2nd year: $36,000(1.1) = $39,600

3rd year: $39,600(1.1) = $43,560

4th year: $43,560(1.1) = $47,916

Therefore, the salary of the previous year is $36,000 and salary of the following year is $43,560.

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The solution of the expression is,

⇒ S = - 5100

Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

Sequence is,

⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]

Now, We get;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

Replace n to n + 1;

⇒ a (n + 1) = 100 (- 4)ⁿ

And, For n = 1;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

⇒ a (1) = [ 100 (- 4)¹⁻¹ ]

⇒ a (1) =  100

And, Common ratio = - 4

Hence, The sum of geometric ratio is,

⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)

⇒ S = 100 (1 - 256) / 5

⇒ S = - 5100

Thus, The solution of the expression is,

⇒ S = - 5100

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer:

  8:07:12 am

Step-by-step explanation:

The lights will change simultaneously after any multiple of the least common multiple of their cycle times.

The least common multiple of a set of numbers is the product of the highest powers of their prime factors.

  48 = 2⁴×3

  72 = 2³×3²

  108 = 2²×3³

The highest power of the factor 2 is 4. The highest power of the factor 3 is 3, so the LCM of the numbers 48, 72, and 108 is ...

  LCM = 2⁴×3³ = 16×27 = 432

The lights will change simultaneously after each period of 7 minutes 12 seconds. They will change simultaneously again at 8:07:12 am.

Answer:

1/8x³- 1/27y³

Step-by-step explanation:

1/216×(27x³-8y³)

1/216×(3x-2y)×(9x²+6xy+4y²)

1/216×(3x-2y)×(9x²+6xy +4y²)

Answer:

-12+3(-11)-40-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

-12+12-45-40+1

0-85+1

-84

Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

The ball reaches 44 ft above the ground after 4 sec.

Step-by-step explanation:

Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t.  Indicate exponentiation with " ^ "

-16t^2 + 300 = 44 becomes

-16t^2 + 256 = 0, or 16t^2 = 256.  Then, taking the square root of both sides, we get:

4t = 16, or t = 4 sec.  The ball reaches 44 ft above the ground after 4 sec.

The ball will take 4 seconds.

A quadratic equation, or simply "quadratics," is a polynomial equation with a degree of two as its highest. This is how it is expressed:

a x² + b x + c = 0 where x is the unknown variable and the constant terms are a, b, and c.

Given equation of height h(t) = -16t² + 300...…..(1)

where h is height in feet and t is time in seconds,

and height at t = 0 is 300 feet

when ball is 44 feet above ground then time is,

put h = 44 in equation 1

44 = -16t² + 300

16t² = 300 - 44

t² = 256/16

t = √16

t = 4

Hence time taken by ball is 4 seconds.

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Answer

g(x) = 2ˣ⁺² or 2^(x + 2)

Explanation

When a function f(x) is translated horizontally along the x-axis by a units, the new function is represented as

f(x + a) when the translation is by a units to the left.

f(x - a) when the translation is by a units to the right.

Looking at the coordinates of the points given on f(x) and g(x), we can see that g(x) is just f(x) translate 2 units to the left.

Hence, if f(x) = 2ˣ

g(x) = f(x + 2) = 2ˣ⁺² or 2^(x + 2)

Hope this Helps!!!

Answer:

70

Step-by-step explanation:

For f(-4)=5(2-3(-4))=5(2+12) because - times - makes +

Therefore 5x2=10 + 5x12=60

10+60=70

Answer:

24

Step-by-step explanation:

369121518212427303336

Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Answer:

3

Step-by-step explanation:

ur welcome

Answer:

2

Step-by-step explanation:

I hope that helped

Answer: A and C

Step-by-step explanation: Its right

Answer: 40 degrees

Step-by-step explanation:

if we take triangle DBC, all angles should add up to 180 degrees

90+50+x=180

x=180-140

x=40 degrees

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

28deg

Step-by-step explanation:

sin x deg = 15/32

x = sin^-1 (15/32) = 27.953 (3dp) = 28 (nearest deg)

This is a topic on trigonometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Based on the given information, the correct answer would be (B) "There is a 0.30 probability that it will rain somewhere in the region at some point during the day.

The probability of an occurrence is a measure of how likely that event will occur.

The probability of an event varies between 0 and 1 or 0 and 100 percent.

The statement that "A weather forecasting website indicated that there was a 30% chance of rain in a certain region" implies that there is a probability of 0.3 or 30 percent that it will rain in the specified area.

This does not provide information about the duration of rain or the specific areas within the region that will experience rainfall.

Therefore, interpretation B is the most reasonable as it correctly captures the meaning of the given 30% chance of rain statement, indicating that there is a probability of rain occurring somewhere in the region at some point during the day.

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Answer:

A= 2,2

B= 0,0

C= -2,2

here is your answer

the required sample size is approximately 178. Answer (c) is correct.To determine the required sample size, we can use the formula:

n = (z * σ / E)^2

where:
- n is the sample size
- z is the z-score for the desired level of confidence (99% corresponds to z = 2.58)
- σ is the standard deviation of the population
- E is the maximum error we want to allow in our estimate of the population mean

Plugging in the values given in the problem, we get:

n = (2.58 * 14 / 4)^2 ≈ 178

Therefore, the required sample size is approximately 178. Answer (c) is correct.

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The equivalent system of equations that would guarantee a solution of (3,-1) are

The system of equations is given as:

px +qy =r

fx + gy = h

Add both equations

(p + f)x + (q + g)y = r + h

Multiply the second equation by a constant (say 5)

5fx + 5gy = 5h

Multiply the first equation by a constant (say 2)

2px + 2qy = 2r

The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)

Hence, the equivalent system of equations are (a), (d) and (e)

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The number 21.56 represents the initial number of cases of flu reported in the first week (January 4) and the growth factor 1.67 represents the rate at which the number of cases is increasing each week. As x increases, the number of cases will continue to grow exponentially.

Which expression represents the number of cases of flu x weeks after January 47 Explain what each number in your chosen expression means in terms of the flu.

The graph suggests that the number of new cases reported each week after the initial week can be modeled by an exponential function. We can find this function by using the two data points given in the graph: (1, 36) and (5, 140).

Let y be the number of new cases of flu x weeks after January 4. We can use the formula for exponential growth to model this situation:

\(y = a * b^x\)

where a is the initial number of cases and b is the growth factor.

To find a and b, we can use the two data points given in the graph:

\(36 = a * b^1\)

\(140 = a * b^5\)

Dividing the second equation by the first, we get:

\(140/36 = (a * b^5) / (a * b^1)\)

\(3.89 = b^4\)

b ≈ 1.67

Substituting b into the first equation, we get:

\(36 = a * 1.67\)

a ≈ 21.56

Therefore, the expression that represents the number of cases of flu x weeks after January 4 is:

\(y = 21.56 * 1.67^x\)

The number 21.56 represents the initial number of cases of flu reported in the first week (January 4) and the growth factor 1.67 represents the rate at which the number of cases is increasing each week. As x increases, the number of cases will continue to grow exponentially.

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Answer:

24+12x is the expression showing exponentially growth of Flu 'x' weeks after jan 4

Meaning of exponentially growth :

Exponential growth is that process which shows increase of quantity over time. It occurs when the immediate rate of change (the derivative) of a quantity with respect to time is proportional to the quantity itself.

According to the information:

Let 'A' be the number of flu cases at time 'T'.

\(\frac{dA}{dT}\) = k[T-24]

T-24 = \(c^{e[kT]}\)

T=24+\(c^{e[kT]}\)

Ater week 1 , T=36 and t = 1

36-24 = c*1

c = 12

T = 12x+24

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According to data from the Census Bureau, the percentage of married women who hold jobs rose from 23.8 percent in 1950 to 56.4 percent in 2014(statistics). Women who had children under the age of six saw the biggest increases.

The collection, organization, organization, analysis, interpretation, and presentation of data are the main topics of study in statistics. When applying statistics to a scientific, industrial, or social problem, it is typical to start with a statistical population or a statistical model that will be investigated.Populations can refer to a variety of groupings of individuals or things, such as "every individual living in a nation" or "each atom making up a crystal." Every facet of data, including the planning of data collecting in terms of the layout of surveys and experiments, is covered by statistics.

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Answer:

(2,1)

Step-by-step explanation:

Well first we single out y or x in one of the equations,

we’ll use 2x + y = 5 and single out y.

2x + y = 5

-2x to both sides

y = -2x + 5

So we can plug in -2x + 5 into y in 2x - 2y = 2.

2x - 2(-2x + 5) = 2

2x + 4x - 10 = 2

combine like terms,

6x - 10 = 2

Communicarice property

+10 to both sides

6x = 12

divide 6 to both sides

x = 2

If x is 2 we can plug 2 in for x in 2x + y = 5.

2(2) + y = 5

4 + y = 5

-4 to both sides

y = 1

(2,1)

Thus,

the solution is (2,1).

Hope this helps :)