On a normal distribution of iq test scores, the average score would be:

Step-by-step explanation:

0.29*10= 2.9

0.29/10= 0.029

29*10= 290

29/10= 2.9

2.9*100= 290

2.9/100= 0.029

2900000/1000= 2900

Hope this helped! :)

Answer:

Step-by-step explanation:

0.29*10=2.9(since it is multiplied by ten and there is one 0 in number 10 the decimal place will come 1 unit right making it 2.9)

29*10=290here first multiply 29 and 1 and add one 0 to it)

29÷10(since it is divided by ten there will be decimal one unit left of 9 i.e.2.9)

29*10000(first multiply 29 and 1 and since there are 4 0's add 4 zero to the product that will give u 240000 .adding 0 depends upon the question)

2900000÷1000(here u shold just cancel the certain number of 0 in noth munerator and denominator.since there are 3 0 in denominator cancel 3 0 from denominator and 3 0 from numerator.Then wu will have

2900/1

since the denominator is 1 u can simply write 2900.

Hope this helps u!!

Answer:

50

Step-by-step explanation:

because when we round off it to the nearest ten it is more nearest to the 50 than 60

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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Answer:

456.63

Step-by-step explanation:

Step-by-step explanation:

It is given that,

The bakers at Healthy Bakery can make 350 bagels in 5 hours.

We need to find how many bagels can they bake in 20 hours.

In 5 hour = 350 bagel

In 1 hour = 70 bagel

To find no of bagel in 20 hours, multiply 20 by 70 as follows :

In 20 hours = 70×20

= 1400 bagels

So, 1400 bagels can they bake in 20 hours. Also, the rate per hour is 70 bagel/hour.

The measure of angle x in the coordinate plane shown in attached figure is of measure 17 degrees.

In the attached figure,

In the coordinate plane,

A straight line is drawn passing through origin.

As we know,

Measure of a straight angle is equal to 180 degrees.

Angle x degrees , second quadrant , and angle of measure 73 degrees forms a straight angle.

All the quadrant forms an angle of measure 90 degree each.

This implies,

Angle x° + 90 degrees + 73 degrees = 180 degrees

⇒ Angle x° + 163 degrees = 180 degrees

⇒ Angle x° = 180 degrees - 163 degrees

⇒ Angle x° = 17 degrees.

Therefore, the measure of angle x in the attached figure is equal to 17 degrees.

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The above question is incomplete , the complete question is:

What is the measure of angle x using attached figure.

Angles are not necessarily drawn to scale.

Answer:

150%

Step-by-step explanation:

Purchase Cost= £12 for 10kg

Sales

1 bag= 200g

200g=1 bag

1 g= 1/200 bag

10000g or 10kg= 1/200 * 10000 = 50 Bags

1 Bag = 0.60

50 Bags= 0.60*50= £30

Profit= £30- £12= 18

% Profit= 18/12 *100

=150%

Answer:

She will learn 15 appetizer recipes.

Step-by-step explanation:

Here's why........because 2 weeks equals 5 so if you divide 6 and 2 you will get 3 and multiply that by 5 you get 15.

Roughly where the curve intersects the line that represents half of the total area under the curve.

In other words, if you were to draw a horizontal line that cuts the area under the curve in half, the point at which the curve intersects this line would be a rough approximation of the median.

However, it's important to note that this method of locating the median by eye is not always accurate, especially for skewed or non-symmetric distributions.

In such cases, more precise methods, such as calculating the median using statistical software or by hand, may be necessary.

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The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

x² – 8x + 16 = 9 + 16

Then the equation can be written as

(x – 4)² = 25

x – 4 = ±5

x = 4 ± 5

x = -1, 9

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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The percentage of tip that Kylie left is 20%  

Finding percentage:

To find the percentage of the number in a given whole number divide the number by the whole number and multiply by 100. To find the percentage of the tip we will calculate the percentage of tips in the total cost.

Here we have,

To find the total plus tip, Kylie multiplied the cost of the meal by 1.2  

Let $ x be the cost of the meal

Then total cost plus including tip = x × 1.2 = 1.2x

From the above calculations,

The amount of tip paid by Kylie = 1.2x - x = 0.2x

There percentage of tip = (0.2x)/x × (100) = 20%      

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none of the provided graphs match the equation 2x + 3y = 0 with the least positive angle of 0 with the x-axis.

To determine the graph with the least positive angle with the x-axis, we can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Rearranging the given equation, we have 3y = -2x, which implies y = (-2/3)x. Comparing this with the slope-intercept form, we find that the slope is -2/3.

The least positive angle with the x-axis corresponds to a line that has a positive slope. Since the slope of the given equation is negative (-2/3), it does not satisfy the condition of having a positive slope.

Therefore, among the given graphs, none of them corresponds to the equation 2x + 3y = 0 with the least positive angle of 0 with the x-axis.

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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Answer:

62244

Step-by-step explanation:

The probability of drawing a mean with a sample mean between $100 and $115 is 0.99705.

Fee per student = $110

Standard deviation = $18

Random sample size =- 49

Sample mean difference =  $100 and $115.

This problem is calculated by using the central limit theorem, which defines that the distribution of sample average from a large sample size will be normal, however, the distribution of the population will be drawn.

For a sample size of 49, the standard error of the mean will be:

SE  = σ / sqrt(n)  

SE  = 18 / sqrt(49)

SE = 18 / 7

SE = 2.57

The standardized sample mean range of $100 to $115 using the formula for the z-score:

z = (x - μ) / SE

For a lower limit of $100:

z1 = ($100 - $110) / 2.57 = -3.89

For an upper limit of $115:

z2 = ($115 - $110) / 2.57 = 1.95

Probability = P(-3.89 < z < 1.95)

Probability = 0.9971 - 0.00005

Probability = 0.99705

Therefore, we can conclude that the probability of drawing a mean with a sample mean between $100 and $115 is 0.99705.

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Answer:

95.9 cm^2

Step-by-step explanation:

this figure is composed of two semicircles. the area of each semicircle would be determined and then added together.

area of a semicircle = 1/2 nr^2

r = radius

n = 22/7

bigger semicircle

1/2 x (22/7) x (6^2) = 56.57cm^2

smaller circle = 1/2 x (22/7) x (5^2) =39.29cm^2

Sum of the areas = 56.6 + 39.3 = 95.9 cm^2

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

We need to know about circumference of a circle to solve the problem. The number of revolutions that the car wheel makes to travel 1 mile is 672.

The circumference of the circle is the perimeter of the circle. In the given question we know that the diameter of the car wheel is 30 inches, and we need to find out the number of revolutions it will take for the car to travel 1 mile. We need to find the circumeference of the circle from there we will know how much distance it covers in one revolution, so we can find out after that the number of revolutions it will take to cover 1 mile.

radius= 30/2 = 15 inches

circumference= 2\(\pi\)r = 2x \(\pi\)x 15=94.25 sq inches

1 mile = 63360 inches

revolutions = 63360/94.25= 672

Therefore the number of revolutions the car will make to travel 1 mile is 672.

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Answer:

y=-2 if 2y+4=0

Step-by-step explanation:

Generally when solving for variables there should always be a equation, and this is an expression so there is no correct answer. But if this expression is equal to 0 you would solve it like this:

2y+4=0

-> Carry the 4 to the other side

2y=-4

-> Divide expression by 2 to get y alone

y=-2

Answer:

2y + 4 = 0. y = -2.

So this is the answer

If A(3,-4) and B(13,11), the coordinates of the point 3/5 from A to B is, (9, 5).

The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Section formula for a point which divides line joining points into m:n ratio,

(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }

Given that, two points,

A(3, -4) and B(13, 11),

the coordinates of the point 3/5 from A to B

Difference, in x coordinates

13 - 3 = 10

It is 3/5 from A to B

So,    x coordinate is,3 + 10 × 3/5 = 9

Difference, in y coordinates

11 -(-4) = 15

It is 3/5 from A to B

So,    y coordinate is, -4 + 15 × 3/5 = 5

Hence, the point is (9, 5)

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Answer:

28 po

Step-by-step explanation:

sana po makatulong po ito sainyo:-):-

Answer:

12

Step-by-step explanation:

If she's making 3 per week and there are 4 weeks then you just multiply 3x4 which is 12. You could also add but it takes longer. Hope this helped.

Answer:

V = 113 degrees

Step-by-step explanation:

a triangle is 180 degrees so subtract the two numbers from 180

The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;

y = 50x + 100    ------(eq 1)

y = 75x + 50    ------(eq 2)

A) Let the total cost of the cat tree be y

Let each additional piece added be x.

Since basic tree is $100 and each additional platform costs $50, then we can say that;

y = 50x + 100    ------(eq 1)

Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;

y = 75x + 50    ------(eq 2)

B) Subtract eq 1 from eq 2 to gte;

25x - 50 = 0

25x = 50

x = 50/25

x = 2

y = 75(2) - 50

y = $100

C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.

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Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

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The recursive formula for the given problem is W(n) = W(n-1) + 2 * W(n-1), with the base case W(0) = 1. This formula calculates the number of n-letter "words" that can be created from an unlimited supply of 'a's, 'b's, and 'c's,

To derive the recursive formula, we consider two cases for the first letter of the word: either it is an 'a' or it is not. If the first letter is 'a', we need to ensure that the remaining (n-1) letters form a word with an even number of 'a's. Therefore, the number of words in this case is equal to W(n-1), as we are recursively solving for the remaining letters.

If the first letter is not 'a', we have the freedom to ch

oose from 'b' or 'c'. In this case, we have two options for each of the remaining (n-1) letters, resulting in 2 * W(n-1) possibilities. By summing these two cases, we obtain the recursive formula W(n) = W(n-1) + 2 * W(n-1), which calculates the total number of n-letter words satisfying the given criteria.

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Answer: x²-59x+114=0

explanation:

If the roots are 2 and 57, then:-

sum of roots = 2+57 = 59

and, product of roots = 2×57 = 114

the quadratic equation is given by,

x²-(sum of roots)x+(product of roots)=0

so, x²-59x+114=0 will be the desired quadratic equation.

so, none of the options are correct.

the correct answer is x²-59x+114=0.

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a.

= (5x)² - 3 = 25x² - 3

- 5f(x) = 5(x² - 3) = 5x² - 15

b.

- f(x - 2) = (x - 2)² - 3 = x² - 4x + 1

- f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

a. To calculate f(5x), we substitute 5x into the function f(x) and simplify the expression.

  f(5x) = (5x)² - 3 = 25x² - 3

  To calculate 5f(x), we multiply the function f(x) by 5.

  5f(x) = 5(x² - 3) = 5x² - 15

b. To calculate f(x - 2), we substitute (x - 2) into the function f(x) and simplify the expression.

  f(x - 2) = (x - 2)² - 3 = x² - 4x + 4 - 3 = x² - 4x + 1

  To calculate f(x) - f(2), we evaluate f(x) and f(2) separately and then find their difference.

  f(x) = x² - 3

  f(2) = 2² - 3 = 4 - 3 = 1

  f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

For the difference quotient of f(x) = -7x² - 5x + 9, we can calculate it as follows:

Difference quotient = [f(x + h) - f(x)] / h

Expanding the function and substituting into the difference quotient formula, we have:

[f(x + h) - f(x)] / h = [-7(x + h)² - 5(x + h) + 9 - (-7x² - 5x + 9)] / h

Simplifying and expanding further:

= [-7(x² + 2hx + h²) - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-7x² - 14hx - 7h² - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-14hx - 7h² - 5h] / h

= -14x - 7h - 5

The difference quotient of f(x) = -7x² - 5x + 9 is -14x - 7h - 5.

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Answer:

$44,000 is the total budget

The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)

The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.

Therefore, for this problem, the distribution of the sample mean can be represented as:

X ~ N(67.15, 3.084/√30)

where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.

This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.

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