Someone can help me with it , please.

Answer:

a) The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).

b) The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).

c) Due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.

d) Yes, because 0.25 is inside both intervals.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

117 of 484 new engineering graduates were planning to continue studying for an advanced degree.

This means that [tex]n = 484, \pi = \frac{117}{484} = 0.2417[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2097[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2737[/tex]

The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).

Question b:

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2036[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2798[/tex]

The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).

(C) Compare your answers to parts (a) and (b) and explain why they are the same or different.

The margin of error of a confidence interval of proportions is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

This means that, due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.

(D) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.

Yes, because 0.25 is inside both intervals.

Answer:

Definitely not "feels"!

Step-by-step explanation:

I would go with " Always" aka "A"

Answer:

I think C, never irrational

Step-by-step explanation:

I feel you, link scams are horrible.

If this answer helped, please give brainliest! It would help a lot if you gave it :D

Answer:

Option A 64/27 cm³

Step-by-step explanation:

Side of each cube=1/3 cm

Volume of a cube=side³=(1/3)³=1/27 cm³

Total no. of cubes in the prism=4*4*4=64 cubes

Volume of prism=Volume of 1 cube*Total no. of cubes

=(1/27)*64

=64/27 cm³

Answer:

Search up equilvlant calculator

Step-by-step explanation:

hoped thishelped

Answer: No

Step-by-step explanation: A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.

Answer:

B hope this helps you hi hcjc

Answer:

8×p≈c

Step-by-step explanation:

Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.

Answer:

Option (1)

Step-by-step explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

[tex]\frac{1}{2}[/tex][m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

x = 2(41°)

x = 82°

Option (1) is the correct option.

Answer:

Step-by-step explanation:

The Answer will be D hope this helps ya :)

The function representing the number of bacteria present each day is

[tex]\rm f(t) = 2032(0.85)^{t}[/tex] .

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

The set X is called the domain of the function and the set Y is called the codomain of the function

A bacteria population starts at 2032 and decrease by 15% everyday.

a function representing the number of bacteria present each day

[tex]\rm f(t) = 2032(1-.15)^{t}[/tex]

[tex]\rm f(t) = 2032(0.85)^{t}[/tex]

Therefore [tex]\rm f(t) = 2032(0.85)^{t}[/tex] is the correct answer .

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Answer:

$1000

Step-by-step explanation:

It would be $1000 in total of all the people attending the party. This is because, you need to multiply, 50 and 20! The answer will be 1000.

Answer:

b

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

Hope this helps

Answer:

11 / 16

Step-by-step explanation:

5/16 + 6/16

5 + 6 = 11

Denominator stays the same (16)

11 / 16

Answer:

4.5/16+6/16=4.5+6/16

=10.5/16

Step-by-step explanation:

Here you can see denominator in both the side are same and operation sign between them is plus, therefore you can take denominator as is it.

Then add numerator and divide by denominator which is 16. Answer is 10.5/16 since you have to simplify only.

Answer:

c

Step-by-step explanation:

hize la misma pregunta que vos

The average velocities for the given time intervals are,

(i) -8 m/s,

(ii) -12 m/s,

(iii) 4 m/s, and

(iv) 4 m/s. The instantaneous velocity at t = 4 is -8 m/s. The attached graph of s as a function of t is a straight line with slope -8, showing the secant and tangent lines.

a) To find the average velocity in each time interval,

calculate the change in displacement (Δs) divided by the change in time (Δt) within each interval.

s = 12 - 8t + 18

i) [3, 4]:

Δs = s(4) - s(3) = (12 - 8(4) + 18) - (12 - 8(3) + 18) = -8

Δt = 4 - 3 = 1

Average velocity = Δs / Δt = -8 / 1 = -8 m/s

ii) [3.5, 4]:

Δs = s(4) - s(3.5) = (12 - 8(4) + 18) - (12 - 8(3.5) + 18) = -6

Δt = 4 - 3.5 = 0.5

Average velocity = Δs / Δt = -6 / 0.5 = -12 m/s

iii) [4, 5]:

Δs = s(5) - s(4) = (12 - 8(5) + 18) - (12 - 8(4) + 18) = 4

Δt = 5 - 4 = 1

Average velocity = Δs / Δt = 4 / 1 = 4 m/s

iv) [4, 4.5]:

Δs = s(4.5) - s(4) = (12 - 8(4.5) + 18) - (12 - 8(4) + 18) = 2

Δt = 4.5 - 4 = 0.5

Average velocity = Δs / Δt = 2 / 0.5 = 4 m/s

b) To find the instantaneous velocity when t = 4, we'll find the derivative of s with respect to t and then substitute t = 4.

s = 12 - 8t + 18

ds/dt = -8

Instantaneous velocity at t = 4 is equal to the derivative at t = 4:

Instantaneous velocity at t = 4: ds/dt (t=4) = -8 m/s

c) To sketch the graph of s as a function of t and draw the secant lines (average velocities) and the tangent line (instantaneous velocity):

Attached graph.

The graph of s as a function of t is a straight line with a slope of -8 and a y-intercept of 30. At t = 4, the instantaneous velocity is -8 m/s.

Secant lines:

Draw a straight line connecting the points (3, 10) and (4, 2) for the interval [3, 4].

Draw a straight line connecting the points (3.5, 4) and (4, 2) for the interval [3.5, 4].

Draw a straight line connecting the points (4, 2) and (5, 6) for the interval [4, 5].

Draw a straight line connecting the points (4, 2) and (4.5, 4) for the interval [4, 4.5].

Tangent line:

At t = 4, draw a straight line with a slope of -8 and passing through the point (4, 2).

The attached graph will show the secant lines with different slopes as the average velocities in each interval and the tangent line with a slope of -8 as the instantaneous velocity at t = 4.

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The above question is incomplete , the complete question is:

The displacement (in meters) of a moving particle

in a straight line is given by s = 12 – 8t + 18, where t is

measured in seconds.

a) Find the average velocity in each time interval:

i) [3, 4] ii) [3.5, 4]

iii) [4, 5] iv) [4, 4.5]

b) Find the instantaneous velocity when t = 4.

c) Plot s as a function of t and draw the secant lines whose slopes are the average velocity in part (a) and the tangent line whose slope is the

instantaneous velocity in part (b).

Answer:

(x − 4)(x − 12)

Step-by-step explanation:

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Option A is the correct answer.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

Now we can rewrite the middle term -16x as -4x - 12x and group the terms as follows:

x² - 16x + 48 = x² - 4x - 12x + 48

= (x² - 4x) + (-12x + 48)

= x(x - 4) - 12(x - 4)

= (x - 4)(x - 12)

Therefore,

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).

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Answer:

Sorry I don't know this.

Step-by-step explanation:

Answer:

wheel: radius=3/2  diameter=3  circumference=3pi

propeller: radius=24  diameter=48  circumference=48pi

orange: radius=10/pi  diameter=20/pi  circumference=20

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4 times 4 times 4 =64

Answer:

The answer is 64!

Step-by-step explanation:

4^3

or

4×4×4 is

64.

4x4=16x4=64

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3-1}{4+4}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

Answer:

K = -2  J = 28

Step-by-step explanation:

I took the k12 test

Answer:

The answer is K=-2 J+24.

Step-by-step explanation:

Answer:

40,000 + 5000 + 600 + 70 + 8

Step-by-step explanation:

take the numbers all off and break them down by their value.

Answer: The vertex will have the same x coordinate as the focus

and be at the midpoint between focus and directrix.  The

midpoint of (4, 4) and (4, -2) is:  ((4+4)/2, (4-2)/2) = (4, 1)

The measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

m∠4=74° and m∠3=43°

m∠4 + m∠2 = 180

74 + m∠2 = 180

m∠2 = 106 degree

m∠3 + m∠2 + m∠1 = 180  (sum of angles in triangle is 180 degree)

43 + 106 + m∠1 = 180

m∠1 = 31 degree

Thus, the measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.

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Point 2 is 106°

Point 1 is 31°

Bit by bit clarification:

every triangle's total angle is 180

first you 180 - 74 = 106 for angle 2

angle 2 you had to use the angle two total then you add it with angle three like this 106 + 43 = 149 then you do  180 - 149 = 31 will give you your angle one

hope it help mark brainliset please

Answer:

0.7558 = 75.58% probability this sale has occurred in Dallas

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Belt sold

Event B: Sold in Dallas.

Probability of belt being sold:

50% of 65%(made in Dallas)

30% of 100 - 65 = 35%(made in Phoenix). So

[tex]P(A) = 0.5*0.65 + 0.3*0.35 = 0.43[/tex]

Sold in Dallas:

50% of 65%. So

[tex]P(A \cap B) = 0.5*0.65 = 0.325[/tex]

What is the probability this sale has occurred in Dallas?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.325}{0.43} = 0.7558[/tex]

0.7558 = 75.58% probability this sale has occurred in Dallas

Answer:

The answer to 5 is 3 and the answer to 6 is -2

Step-by-step explanation:

-8=2x-14

add 14 to each side

6=2x

divide by 2

3=x

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

11x+13=-9

subtract 13 from both sides

11x=-22

divide each side by 11

x=-2

Answer:

5.x=3

6.x=-2

Step-by-step explanation:

you're welcome

Answer:

simplified value of the exponential expression 27 Superscript one-third

27= 3×3×3

    =[tex]3^{3}[/tex]

answer is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The answer above is correct.