Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100. 0 and σ=15. 0. A random sample of 45 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 96? Round your answer to 4 decimal places, if necessary

Answer:

240

Step-by-step explanation:

add up the numbers of all the students that were surveyed

get 90

60 of those were rock or hiphop

divide 360 by 90

get 4

multiply 60 by 4

get 240

Answer:

The answer for \(m\) :

\(m = -17\)

Step-by-step explanation:

Solve for \(m\) :

\(-6 + m = -23\)

Add both sides by 6:

\(-6 + 6 + m = -23 + 6\)

\(m = -17\)

So, the answer is \(x = -17\)

Answer:

$70

Step-by-step explanation:

1. I = PRT

2. Sub in what you know into the equation:

I = $875 (principal amount) x 0.04 (4%) x 2 (24 months = 2 years)

3. 875 x 0.04 x 2 = 70

4. Anna will receive $70 in simple interest

Answer:

£70

Step-by-step explanation:

simple interest (I) is calculated as

I = \(\frac{PRT}{100}\)

where P is principal, R is rate of interest and T is time in years.

Note that 24 months = 2 years, thus

I = \(\frac{875(4)(2)}{100}\) = \(\frac{7000}{100}\) = £70

Answer:

The missing angle is 50

Step-by-step explanation:

40 + 90 + x = 180

x = 180 - 90 - 40

x = 50

The missing angle is 50.

thenks and mark me brainliest :))

To solve the given initial value problem using Laplace transforms, let's denote the Laplace transform of x(t) as X(s).

1. Take the Laplace transform of the differential equation:
Applying the Laplace transform to each term, we have:
s^2X(s) - sx(0) - x'(0) - 7sX(s) + 7x(0) - 8X(s) = 5/(s^2 + 25)
Substituting the initial conditions, we get:
s^2X(s) - 3s - 4 - 7sX(s) + 21 - 8X(s) = 5/(s^2 + 25)

2. Rearrange the equation to solve for X(s):
Combining like terms, we have:
(s^2 - 7s - 8)X(s) = 5/(s^2 + 25) + 3s + 17

3. Solve for X(s):
To solve for X(s), we divide both sides by (s^2 - 7s - 8):
X(s) = (5/(s^2 + 25) + 3s + 17)/(s^2 - 7s - 8)

4. Find the inverse Laplace transform of X(s) to obtain the solution x(t):

To find the solution x(t), we need to take the inverse Laplace transform of X(s). This can be done using partial fraction decomposition and a table of Laplace transforms.

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You would need a sample size of 53 to estimate the population mean with an error of less than 5 and a 99% confidence level, given a population standard deviation of 13.6.

To estimate the population mean with an error of less than 5 and 99% confidence, you need to determine the required sample size using the given population standard deviation (σ = 13.6) and the desired margin of error (E = 5).

Step 1: Identify the confidence level (99%)
The confidence level indicates the probability that the true population mean lies within the margin of error. A 99% confidence level corresponds to a z-score (z) of 2.576, found in standard z-score tables or through software.

Step 2: Calculate the required sample size
The formula for determining the required sample size (n) when estimating the population mean with a specific margin of error and confidence level is:

n = (z^2 × σ^2) / E^2

Plugging in the values we have:

n = (2.576^2 × 13.6^2) / 5^2
n ≈ (6.635776 × 184.96) / 25
n ≈ 1304.756736 / 25
n ≈ 52.19

Step 3: Round up the result
Since you cannot have a fraction of a sample, round up the result to the nearest whole number. In this case, the required sample size is 53.

In conclusion, you would need a sample size of 53 to estimate the population mean with an error of less than 5 and a 99% confidence level, given a population standard deviation of 13.6.

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Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Answer:

SSS congruent

Step-by-step explanation:

AB  = ML

AC = MN

CB =  NL

Both triangles are congruent by SSS

Answer:

-650

Step-by-step explanation:

The ERD (Entity-Relationship Diagram) representing these relationships will include entities such as Book, Publisher, Author, and BookAuthor (associative entity). The relationships between these entities will be depicted using appropriate connectors and cardinality indicators. Please refer to the attached ERD screenshot for a visual representation of the relationships.

Based on the given description, we can identify the following relationships and their characteristics:

1. Book - Publisher Relationship:

  - Degree: 1-to-1 (One book has exactly one publisher)

  - Cardinalities: Each book is associated with one publisher, and one publisher can publish multiple books over time.

  - Graphical Representation: The Book entity will have a foreign key referencing the Publisher entity.

2. Book - Author Relationship:

  - Degree: Many-to-Many (One book can have multiple authors, and one author can write multiple books)

  - Cardinalities: Each book can have one or multiple authors, and each author can write one or multiple books.

  - Graphical Representation: To represent the many-to-many relationship between Book and Author, we will introduce a junction table or associative entity, commonly known as the "BookAuthor" entity. It will have foreign keys referencing both the Book and Author entities.

3. Author - Prospect Relationship:

  - Degree: 1-to-0 or 1 (One author can have either zero or one prospect status)

  - Cardinalities: Each author can either have no prospective status (if they have published books) or have a prospective status (if they haven't published any books yet).

  - Graphical Representation: The Author entity will have an attribute indicating the prospect status, such as a boolean flag.

Overall, the ERD (Entity-Relationship Diagram) representing these relationships will include entities such as Book, Publisher, Author, and BookAuthor (associative entity). The relationships between these entities will be depicted using appropriate connectors and cardinality indicators. Please refer to the attached ERD screenshot for a visual representation of the relationships.

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The t-distribution can be used to construct confidence intervals of means when the sample size is more than 30 or when the population's distribution is unknown. the sample size is greater than 30, and the population's distribution is unknown.

The 95% confidence interval can be calculated using the theory-based inference applet:For a 95% confidence interval, the value o\(f t=2.03The 95%\)confidence interval for the average diameter of needles produced by the manufacturing process is(1.614,1.666)c. Since the confidence interval includes 1.65, there is no evidence that the average diameter of needles produced by this manufacturing process is different from 1.65mm.

If the average diameter was 1.65mm, we would anticipate observing data in the interval we just created 95% of the time. As a result, we cannot reject the hypothesis that the average diameter of needles produced by the manufacturing process is different from 1.65mm since the confidence interval contains 1.65mm.

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Answer:

(x+3)(x+5)

x( x + 5) +3 ( x + 5)

x² + 5x + 3x + 15

x² + 8x + 15

Answer:

what are the ansers

Step-by-step explanation:

yea i asked

Answer:

8.24

Step-by-step explanation:

Given :-

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

\(:\implies\) D = √{(x2-x1)² + (y2-y1)²}

\(:\implies\) D =√[ (3+5)² +(-5+7)²]

\(:\implies\) D =√[ 8² +2²]

\(:\implies\) D =√[ 64 +4]

\(:\implies\) D = 8.24

Here we would be using distance formula to calculate the distance between those two points.

Points are,

★ Distance Formula :

★ Putting the values :

★ Midpoint of two points:-

★ Centroid of a triangle :-

Answer:

where is the table

Step-by-step explanation:

please make the statement clear instead of copy and pasting the question so we can answer the question correctly

Answer:

1 : 2

In other words, Figure B is twice the size of Figure A

Step-by-step explanation:

Figure A : Figure B

1 : 2

The appropriate answers are: 1. Difference in differences. 2. Within-groups design. 3. Independent variable. 4. Main effect. 5. Mixed design.

1. Difference in differences: This term is related to both single independent variable designs and factorial designs. It refers to a research design used to estimate the causal effect of a treatment or intervention by comparing the differences in outcomes between a treatment group and a control group before and after the treatment.

2. Within-groups design: This term is related to either single independent variable designs or factorial designs. It refers to a research design where participants are exposed to all levels or conditions of the independent variable(s), and their performance or responses are compared within the same group.

3. Independent variable: This term is related to both single independent variable designs and factorial designs. It refers to the variable(s) manipulated or controlled by the researcher to observe its effect on the dependent variable(s).

4. Main effect: This term is related to factorial designs. It refers to the individual effect of each independent variable in a factorial design on the dependent variable(s), ignoring the interactions between the independent variables.

5. Mixed design: This term is related to factorial designs. It refers to a research design that combines within-groups and between-groups factors, allowing for the examination of both within-subject and between-subject effects in the same experiment.

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Answer:

because red is colour which attracts more

Answer:

1/15

Step-by-step explanation:

Total number of marbles: 3 + 4 + 1 + 2 = 10

First pick:

p(red) = 3/10

Now there are a total of 9 marbles.

Second pick:

p(blue) = 2/9

Overall probability:

p(red then blue) = 3/10 * 2/9 = 6/90 = 1/15

Answer:

Step-by-step explanation:

Easy just divide this into 2 shapes.

The area of a rectangle is lenght Times Width.

2 Rectangles. So the One on the left would be

5X12=60 is the area of the first one.

The Second rectangle is

6X10=60

Both rectangles have the same area.

Now just add up both areas

60+60= 120 square units

SonicIsCoool, if you need more help I'm at your service

:)

Answer:

C. 120 units² or square units

Step-by-step explanation:

View the attached picture

Hope it helps!

To find the surface area of the part of the plane z = 4 + 3x + 7y that lies inside the cylinder 3x^2 + y^2 = 9, we can use a double integral over the region of the cylinder's projection onto the xy-plane.

The surface area can be calculated using the formula:

Surface Area = ∬R √(1 + (f_x)^2 + (f_y)^2) dA,

where R represents the region of the cylinder's projection onto the xy-plane, f_x and f_y are the partial derivatives of the plane equation with respect to x and y, respectively, and dA represents the area element. In this case, the plane equation is z = 4 + 3x + 7y, so the partial derivatives are:

f_x = 3,

f_y = 7.

The region R is defined by the equation 3x^2 + y^2 = 9, which represents a circular disk centered at the origin with a radius of 3. To evaluate the double integral, we need to use polar coordinates. In polar coordinates, the region R can be described as 0 ≤ r ≤ 3 and 0 ≤ θ ≤ 2π. The integral becomes:

Surface Area = ∫(0 to 2π) ∫(0 to 3) √(1 + 3^2 + 7^2) r dr dθ.

Evaluating this double integral will give us the surface area of the part of the plane that lies inside the cylinder. Please note that the actual calculation of the integral involves more detailed steps and may require the use of integration techniques such as substitution or polar coordinate transformations.

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: \((x + 7)^2 + (y - 10)^2 = 13^2\)

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

Option A (5,12)

When x=5, y=12

\((5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2\)

Option B (-7,-3)

When x=-7, y=-3

\((-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2\)

Option C (-6,-10)

When x=-6, y=-10

\((-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2\)

Option D (6,23)

When x=6, y=23

\((6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2\)

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

Answer:

The perimeter of the new space used for the playground is 108 feet.

The perimeter of the space used for the new playground is 150 feet.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

The current space is rectangular and has a length of 24 feet and a width of 26 feet.

and, the new space is 36 feet long.

let the width of new space is x.

Since, the two space are similar then the scale factor will be

= 36/24 = 1.5

So, the width of new space = 1.5 x 26 = 39 feet

Thus, the Perimeter of new space

= 2(l +w)

= 2 (36+ 39)

= 150 feet

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The concavity of a function can change at inflection points, where the concavity transitions from concave up to concave down or vice versa. Inflection points occur when the second derivative is equal to zero or undefined.

To determine whether a function is concave up or concave down using the second derivative, you can follow these steps:

Find the second derivative of the function. This involves taking the derivative of the first derivative of the function. The second derivative is often denoted as f''(x) or d²y/dx².

Identify the critical points of the function. These are the points where the first derivative is equal to zero or undefined. You can find the critical points by setting the first derivative equal to zero and solving for x.

Evaluate the second derivative at the critical points. Plug the critical points into the second derivative equation and calculate the resulting values.

Analyze the sign of the second derivative at the critical points. If the second derivative is positive at a critical point, the function is concave up at that point. If the second derivative is negative at a critical point, the function is concave down at that point.

By examining the signs of the second derivative at the critical points, you can determine the concavity of the function in the corresponding intervals.

Remember that this method applies specifically to functions whose second derivative is continuous. In cases where the second derivative is discontinuous or undefined, additional analysis may be needed.

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Answer:

x≤5/3

So any number at 5/3 or above is a solution

Step-by-step explanation:

Subtract 4 on both sides:

5≤3x

Divide 3 on both sides

x≤5/3

So any number at 5/3 or above is a solution

Hope this helps!

Answer: 194

Step-by-step explanation:

1. Square both sides to get (b+2)=14^2=196

2. Subtract 2 from both sides to get b=194

Answer:

Pyramid, solid, polyhedron

Step-by-step explanation:

Took the quiz

A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The correct options are B, E, and F.

A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The triangle sides are referred to as faces, while the point above the base is referred to as the top.

The given object can be described as a solid, pyramid and a polyhedron as well.

Hence, the correct options are B, E, and F.

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Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer: 45 cents.

Step-by-step explanation: We can find the cost per inch of wire by dividing the total cost by the total length of wire:

75 cents / 15 inches = 5 cents/inch

Now that we know the cost per inch, we can find the cost of 9 inches of wire by multiplying the cost per inch by 9:

5 cents/inch * 9 inches = 45 cents.

Answer:45 cents for 9 inches of wire

Step-by-step explanation:

Per every 5 incheses is 0.25 cents 0.75/15=$0.25 and then taking 0.25/5=$0.05 cents. So 1 inch costs 0.05 cents. So multiply 0.05×9=$0.45 cents. 45 cents

A distribution of the means of two independent groups serves as the comparison distribution for an independent-samples t-test.

By using the one-sample t-test formula

If s is the sample standard deviation, n is the sample size, and x is the sample mean, is the population mean.

The between-groups variance measures the variability of the group means, whereas the within-groups variance measures the variability of the individual scores within the groups. This is a key distinction between variance terms for between-groups and within-groups.

By using the formula,

df = (n1 - 1) + (n2 - 1) (n2 - 1)

where the sample sizes for the two groups are n1 and n2.

The mean of the differences between the scores in the two groups can be used to compute the mean of the difference scores for the original data. The mean of the difference scores would be determined as follows, for instance, if the first group has scores of 3, 5, and 7, while the second group has scores of 4, 6, and 8.

\(\frac{(3 - 4) + (5 - 6) + (7 - 8)}{3}\)

= \(\frac{(-1 + -1 + -1)}{3}\)

= \(\frac{- 3}{3}\)

= -1

The name of the statistical test, the sample sizes, the averages and standard deviations of the groups, the estimated t-value and degrees of freedom, and the p-value would all be included in a report of statistical results that follows proper APA format. The research question and hypothesis being examined should be stated clearly in the report, together with a discussion of the findings and their implications.

The standard error of the difference scores for the provided data can be calculated as

SE = \(((\frac{s12}{n1}) + (\frac{s22}{n2}))\)

where n1 and n2 are the sample sizes, s1 and s2 are the standard deviations of the two groups, and

Calculating the t-value and comparing it to the critical value of t from the appropriate degrees of freedom in the t-distribution is the fifth step in performing a single-sample t-test. The null hypothesis can be rejected if the estimated t-value is greater than the critical value since it shows that the observed differences between the sample and the population are statistically significant.

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