A sample of the reading scores of 35 fifth-grade students has a mean of 82. The standard deviation of the sample is 15.


Requried:

a. Find the 95%% confidence interval of the true mean reading score for all fifth graders.

b. Find the 95% confidence interval of the mean reading scores of all fifth graders

c. find the 99% confidence interval of the mean reading scores of fifth graders

s. Which interval is larger? explain why?

Answer: B

Step-by-step explanation: the answer is (0,1)

Answer:

So I think your answer is Zero

I think it will help you.

Answer:

With what!

Step-by-step explanation:

Answer:

66.666666666667%

Step-by-step explanation:

Answer:

A. y-1=5/3(x-3)

Step-by-step explanation:

please look at the graph in my pic to see my answer is correct

hope it helps :)

number 7 is B, number 8 is D.

8 ÷ 640 x 100,000 = 12,500 defective computer chips

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The problem involves finding the distance from a given point (12, 14, 1) to the y-z plane. The distance can be determined by finding the perpendicular distance from the point to the plane.

The equation of the y-z plane is x = 0, as it does not depend on the x-coordinate. We need to calculate the perpendicular distance between the point and the plane.

To find the distance from the point (12, 14, 1) to the y-z plane, we can use the formula for the distance between a point and a plane. The formula states that the distance d from a point (x₀, y₀, z₀) to a plane Ax + By + Cz + D = 0 is given by the formula:

d = |Ax₀ + By₀ + Cz₀ + D| / √(A² + B² + C²)

In this case, since the equation of the y-z plane is x = 0, the values of A, B, C, and D are 1, 0, 0, and 0 respectively. Substituting these values into the formula, we can calculate the distance from the point to the y-z plane.

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The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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The measure of each of the acute angles of the right triangle is 32° and 58°.

A right triangle is a kind of triangle which has a right angle (90°) and two acute angles (less than 90°).

Let x = measure of one of the acute angles

If the measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle, then

measure of the other acute angle = 2x - 6

The sum of all the angles of any triangle is equal to 180°. Hence,

90° + x + 2x - 6 = 180°

Solve for the value of x.

3x = 96

x = 32

Solve for the measure of the other acute angle.

2x - 6 = 2(32) - 6 = 58

Hence, the two angles are 32° and 58°.

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Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Given statement solution is :- To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:

Classes Frequency

30-40 2

40-50 3

50-60 4

60-70 8

70-80 9

80-90 7

90-100 7

To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:

Classes Frequency

30-40 2

40-50 3

50-60 4

60-70 8

70-80 9

80-90 7

90-100 7

To create this distribution, we count the number of scores that fall within each class range. For example, the class 30-40 has 2 scores falling within that range (35 and 39), and the class 40-50 has 3 scores (45, 48, and 48).

Note: It seems there is an inconsistency in the data provided. The class range 70-80 has 9 scores, but the frequencies given for the other classes do not match the actual number of scores falling within those ranges. Therefore, I have used the actual counts from the data to construct the grouped frequency distribution.

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Answer:

hsjdnbd dmkdjnf

Step-by-step explanation:

atep by step

Answer:

24 hours

Step-by-step explanation:

160 x 18 = 2880

2880/120 = 24

Answer:

Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).

Step-by-step explanation:

Answer:

25x^2 -20x +4

Step-by-step explanation:

(5x-2)^2

FOIL

(5x-2)(5x-2)

25x^2 -10x -10x +4

25x^2 -20x +4

Answer:

800

Step-by-step explanation:

700________________750___________771________800

771 is over 750 so it would be rounded to 800

Answer: 800

Step-by-step explanation:

771 is 50+ thus it round over to 800.

Answer:

The answer to the question is 5:3:4

Answer:

1,2,4, & 5

Step-by-step explanation:

Got it right on Edge 2021

Answer:

A, B, D, and E

Step-by-step explanation:

Edge 2021

a. The expanded and simplified form is: -4a + 16

b. The expanded and simplified form is: 3a^2 + 6a

c. The expanded and simplified form is: 6x - 10

d. The expanded and simplified form is: x^2 - x - 6

e. The expanded and simplified form is: x^2 + 8x + 16

Sure, let's expand and simplify each expression step by step:

a. -4(a - 4)

Step 1: Apply the distributive property (multiply -4 by each term inside the parentheses).

-4(a) + -4(-4)

Step 2: Simplify the terms.

-4a + 16

So, the expanded and simplified form is: -4a + 16

b. 3a(a + 2)

Step 1: Apply the distributive property (multiply 3a by each term inside the parentheses).

3a * a + 3a * 2

Step 2: Simplify the terms.

3a^2 + 6a

So, the expanded and simplified form is: 3a^2 + 6a

c. 4x - 2(5 - x)

Step 1: Apply the distributive property (multiply -2 by each term inside the parentheses).

4x - 2 * 5 + 2 * x

Step 2: Simplify the terms.

4x - 10 + 2x

Step 3: Combine like terms.

6x - 10

So, the expanded and simplified form is: 6x - 10

d. (x - 3)(x + 2)

Step 1: Apply the distributive property (multiply x by each term inside the second parentheses and then multiply -3 by each term inside the second parentheses).

x * x + x * 2 - 3 * x - 3 * 2

Step 2: Simplify the terms.

x^2 + 2x - 3x - 6

Step 3: Combine like terms.

x^2 - x - 6

So, the expanded and simplified form is: x^2 - x - 6

e. (x + 4)^2

Step 1: Apply the square of a binomial formula: (a + b)^2 = a^2 + 2ab + b^2

(x)^2 + 2(x)(4) + (4)^2

Step 2: Simplify the terms.

x^2 + 8x + 16

So, the expanded and simplified form is: x^2 + 8x + 16

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Answer: 2

Step-by-step explanation:The slope of a line is the ratio of the change in y-values to the change in x-values between two points on the line.

To find the slope, we first need to find two points on the line, for example (4,12) and (7,18).

Then, the slope can be calculated as:

(18 - 12) / (7 - 4) = 6 / 3 = 2.

The slope is 2.

A proportional (P) controller is used to regulate the position of the carriage x(t) when f(t) = 0, provided that a position sensor with a transfer function H(s) = S + 1 is available.

The transfer function of the plant is given by:

`V(s)/X(s) = 53s^2 + 10.592s + 555`We must first determine the closed-loop transfer function T(s).T(s) = H(s) G(s) / [1 + H(s) G(s)]

where G(s) = KP is the transfer function of the proportional controller.Hence, T(s) = KP (S + 1) / [KP (S + 1) + 53 S^2 + 10.592 S + 555]At s = jω (where j = sqrt(-1)), the magnitude of T(s) is given by:

|T(jω)| = K / √[(ω^4 + 107.184ω^2 + 2915.025) + (KPω^3 + 53ω^2 + 10.592ω + KP) ^2]Let's choose KP such that the system is marginally stable, that is, the closed-loop transfer function T(s) has a unit gain margin, i.e.|T(jω)| = 1, or|T(jω)|^2 = 1

From the above equation, we can calculate the value of KP that produces the unit gain margin for the given system. Substituting the above equation, we get:

KP^2 ω^6 + KPω^3 (53 - 1) + ω^4 + 107.184ω^2 + 2915.025 = 0

We are interested in finding the value of KP such that the root of the above polynomial has a multiplicity of two at s = jω, i.e. it is a double root or pole of the closed-loop system. By setting Δ = b^2 - 4ac = 0, we obtain the quadratic equation in KPω^3,0 = (52)^2 - 4 (1) (ω^4 + 107.184ω^2 + 2915.025)

Therefore, ω = 8.201 rad/sKP = 1.93

From the transfer function of the closed-loop system, we can now find the value of the pole(s).The characteristic polynomial of the closed-loop system is:

P(s) = KP (S + 1) + 53 S^2 + 10.592 S + 555By substituting KP = 1.93 in P(s), we obtain:

P(s) = 1.93 (S + 1) + 53 S^2 + 10.592 S + 555

This can be factored to obtain the poles of the system:

P(s) = (S + 11.18) (S + 0.132)

The poles of the system are -11.18 and -0.132.

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If an oil company purchased an option on land in alaska with probabilities P(high - quality oil) = 0.5, P(medium quality oil) = 0.20 and P(no oil) = 0.30 , the probability of finding oil is 0.7, or 70%.

The probability of finding oil can be calculated by adding the probabilities of finding high-quality oil and medium-quality oil, as they are the only two scenarios in which oil is present. Therefore, the probability of finding oil is:

P(oil) = P(high-quality oil) + P(medium-quality oil)

P(oil) = 0.5 + 0.20

P(oil) = 0.7

There there is 0.7 or 70% probability that the oil is found in alaska using these given probabilities.

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Complete question is:

An oil company purchased an option on land in alaska. preliminary geologic studies assigned the following prior probabilities.

P(high - quality oil) = 0.5 ,P(medium quality oil) = 0.20 ,P(no oil) = 0.30

What is the probability of finding oil?

Answer:

y = 3x + 7

Step-by-step explanation:

Using the formula y = mx + b we can create this equation.

m = slope

b = y -intercept

based on the information provided I know that

Slope = 3

and

y-intercept = 7

Substitute:

y = mx + b

y = 3x + 7

y = 3x + 7 is the equation when the slope is 3 and the y intercept is 7.

Let us use the slope-intercept form for this, with m as the slope and b as a constant.

y = mx + b

7 = 3(0) + b  [since the y-int is 7, the x value will be zero]

b = 7

y = 3x + 7

Answer:

see explanation

Step-by-step explanation:

A base angle

B leg

C vertex angle

D leg

E base angle

F base

in any isosceles triangle there are 2 congruent legs and 2 congruent base angles.

the base angles are opposite the congruent legs

the remaining side, the base is the 3rd side of the triangle

the vertex angle is formed by the 2 congruent legs

Answer:

a reflection in the y axis followed by a translation 1 unit down

Step-by-step explanation:

Reflection over the y-axis then a unit down

There is statistically significant evidence to suggest that the proportion of delayed flights from Chicago is higher than the proportion of delayed flights from Atlanta.

To perform the test, we calculate the test statistic and compare it to the critical value from the appropriate distribution.

In this case, we'll use the normal distribution since the sample sizes are reasonably large.

First, let's calculate the proportions of delayed flights for each city:

Proportion of delayed flights from Chicago:

p₁ = 37 / 119 = 0.3109

Proportion of delayed flights from Atlanta:

p₂ = 25 / 127 = 0.1969

Next, we need to calculate the standard error of the difference in proportions:

SE = √(p₁× (1 - p₁) / n₁) + (p₂ × (1 - p₂) / n₂))

where n₁ and n₂ are the sample sizes.

SE = √(0.3109 × (1 - 0.3109) / 119) + (0.1969× (1 - 0.1969) / 127))

= 0.0452

Now, let's calculate the test statistic (z-score):

z = (p₁ - p₂) / SE

z = (0.3109 - 0.1969) / 0.0452

= 2.5298

Looking up the critical value in a standard normal distribution table, we find it to be approximately 1.645.

Since the calculated test statistic (z = 2.5298) is greater than the critical value (1.645), we reject the null hypothesis.

Therefore, there is statistically significant evidence to suggest that the proportion of delayed flights from Chicago is higher than the proportion of delayed flights from Atlanta.

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Answer:

\(\frac{9\pm\sqrt{61}}{2}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)

Answer: The total number of members in the club is 140 + 695 + 210 = 1,045.

The number of non-senior members is 140 + 695 = 835.

The probability that the first member selected at random will not be a senior member is 835 / 1,045 = 0.798 or 79.8%.

So, the answer is 0.798 or 79.8%.

Step-by-step explanation: