A student at a local high school claimed that three-


quarters of 17-year-old students in her high school had


their driver's licenses. To test this claim, a friend of hers


sent an email survey to 45 of the 17-year-olds in her


school, and 34 of those students had their driver's


license. The computer output shows the significance test


and a 95% confidence interval based on the survey data.


Test and Cl for One Proportion


Test of p = 0. 75 vs p +0. 75


Sample X N Sample p 95% CI Z-Value P-Value


1


34 45 0. 755556 (0. 6300, 0. 086 0. 9315


0. 8811)


Based on the computer output, is there convincing


evidence that p, the true proportion of 17-year olds at this


high school with driver's licenses, is not 0. 75?


O No, the P-value of 0. 9315 is very large.


Yes, the P-value of 0. 9315 is very large.


O Yes, the 95% confidence interval contains 0. 75.


No, the incorrect significance test was performed.


The alternative hypothesis should be p > 0. 75.


No, the incorrect significance test was performed.


The alternative hypothesis should be p<0. 75.

Answer: A?

Step-by-step explanation:

Answer:2^3

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

\(-3x+29-29=17-29 < - Subtract\)
\(-3x=-12\)
\(\frac{-3x}{-3}=\frac{-12}{-3} < - Divide\)
\(x=4\)

The score that separates the top 20% of the population from the bottom 80% is = (-0.84 * 95) + 500 = 417.8, which is rounded to the nearest whole number to be 418.

Answer:

696, 550, 418

As the scores of the College Boards are close to being normally distributed and are scored so as to yield a mean of 500 and a standard deviation of 95. Round your answers to the nearest whole numbers.5(a). An exclusive club wishes to invite those scoring in the top 1% on the College Boards to join.

What score is required to be invited to join the club?The area under the normal curve to the left of the top 1% (i.e., the area between the mean and the top 1%) is 0.01. The z-score that corresponds to an area of 0.01 is found to be 2.33 from the normal distribution table.Therefore, the score required to be invited to join the club is = (2.33 * 95) + 500 = 696.35, which is rounded to the nearest whole number to be 696.5(b).

What score separates the top 70% of the population from the bottom 30%?

The area under the normal curve to the left of the score that separates the top 70% from the bottom 30% (i.e., the area between the mean and that score) is 0.70. By using the normal distribution table, we can find that the z-score that corresponds to an area of 0.70 is 0.52.

Therefore, the score that separates the top 70% of the population from the bottom 30% is = (0.52 * 95) + 500 = 550.4, which is rounded to the nearest whole number to be 550.5(c).

The area under the normal curve to the left of the score that separates the top 20% from the bottom 80% (i.e., the area between the mean and that score) is 0.20. By using the normal distribution table, we can find that the z-score that corresponds to an area of 0.20 is -0.84.

Therefore, the score that separates the top 20% of the population from the bottom 80% is = (-0.84 * 95) + 500 = 417.8, which is rounded to the nearest whole number to be 418.

Answer:

696, 550, 418

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Answer:

a) no roots not in LHP

b) 2 roots not in LHP

c) 2 roots not in the LHP

d) 2 roots not in the LHP

e) 2 roots not in LHP

Step-by-step explanation:

The constant of proportionality is 4, and the relationship is given by s = 4h.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let h represent the number of hours and s represent the number of inches of snow on the ground. Since both variables are proportional, hence:

s = hk; where k is the constant of proportionality

Let us assume in the table, when h = 1, s = 4 hence:

s = hk

4 = k(1)

k = 3

s = 4h

The constant of proportionality is 4, and the relationship is given by s = 4h.

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In order: the rational numbers from least to greatest.

9.87, 9 7/8, -9 8/9, -9.7.

Rational numbers are numbers that can be written in the form of \(\dfrac{a}{b}\) where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5), etc.

Irrational numbers are those real numbers that are not rational numbers. Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.

We have been given a series of numbers as;

9 7/8, -9.7, 9.87, -9 8/9

Always start from the first number.  All these numbers have a 9, so we move to the next number.

The first high number is 9.87, so we know our first number will be 9.87.

All of the other 3 numbers have a two after the 9, therefore the second highest numbers are 9 7/8.

The next highest number is -9 8/9

therefore in order: the rational numbers from least to greatest.

9.87, 9 7/8, -9 8/9, -9.7.

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Answer:

Ans=28

Step-by-step explanation:

ƒ(x) = 6x2 - 3x + 22xf( - 2)=[?]

at ƒ(-2)

Substitute each x with -2

ƒ(-2) = 6(-2)2 - 3(-2) - 2

ƒ(-2) = 6(4) - 3(-2) - 2

ƒ(-2) = 24 + 6 + 0 - 2

ƒ(-2) = 28

I hope I was right

The simplified  form for the  given problem (5 √(3) + √(15)) × (3 √(5) + √(15))  is 45√(45).To solve the equation we are using the distributive property.

The  property which states that the product of a number and the sum of two numbers is equal to the sum of the products of the number and each of the two numbers being added. Using this principle, the problem can be broken down into two separate products, (5 √(3) × 3 √(5)) and (5 √(3) × √(15)) + (√(15) × 3 √(5)).  

The first part of the problem can be simplified by combining 5 and 3, which is 15. This leaves 15 √(15). The second part of the problem can be simplified by combining 3 and 5, which is 15. This leaves 15 √(15). Adding the two parts together results in 30 √(15). The √(15) can be multiplied by itself, which is 15. Multiplying 30 by 15 results in 45 √(45). The √(45) cannot be simplified any further, so the final answer is 45√(45).

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Answer:

Step-by-step explanation:

Distance formula looks a little like pythagorean because that where it comes from

d = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }\)

=\(\sqrt{(-1-(-2))^{2}+(3-1)^{2} }\)

=\(\sqrt{1^{2}+2^{2} }\)

=√5 or 2.24

Answer:

Step-by-step explanation:

ok

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

Answer:

275

Step-by-step explanation:

The point that lies on the terminal arm of an angle of rotation determines its quadrant. In each of the other quadrants, there is a point with the same reference angle as the original point.

The point that lies on the terminal arm of an angle of rotation determines the quadrant in which the angle is located. The terminal arm is the line segment starting from the origin and extending to the point on the coordinate plane that corresponds to the angle.
In each of the other quadrants, there is a point with the same reference angle as the original point. The reference angle is the acute angle formed between the terminal arm and the x-axis.
For example, if the original point lies on the terminal arm in the first quadrant, the point in the second quadrant with the same reference angle would have the same x-coordinate but a negative y-coordinate. Similarly, the point in the third quadrant with the same reference angle would have negative x and y coordinates, and the point in the fourth quadrant would have a negative x-coordinate but a positive y-coordinate.
In summary, the point on the terminal arm of an angle determines the quadrant, and in each of the other quadrants, there is a point with the same reference angle as the original point.

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Answer:

Diane bought 13 books.

Step-by-step explanation:

Since we know that after her purchase it will minus 7 off of her total purchase then we can add 7 to 58 to see how much money she spent in total.

58 + 7 = 65.

Now we divide 65 by 5.

65/5 = 13

So, the answer is 13.

Hope this helps! :)

Answer:

She bought 13 books.

Step-by-step explanation:

Start by adding $7 to $58 then divied the sum by 5.  

Answer:

slope = - 14

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-x_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (- 3, - 6)

m = \(\frac{-6-8}{-3+4}\) = \(\frac{-14}{1}\) = - 14

Answer:

slope = - 14

Step-by-step explanation:Calculate the slope m using the slope formulam = with (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (- 3, - 6)m =  =  = - 14

Also got it right on the test!!!

The kind of discontinuous measurement procedure that is used is partial interval recording

Given that,

A client frequently shouts things out loud. You break up the session into shorter timed segments in order to get data on this. You record an event if the behavior happens at any time throughout the interval.

To find : which discontinuous measuring technique are you employing?

An interval recording technique is partial interval recording. An interval recording approach involves watching to see if a behaviour happens or not within predetermined intervals of time. After determining the duration of an observation session, the time is divided into shorter segments that are all of the same length.

So, partial interval recording is the type of discontinuous measuring technique that is applied.

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Answer:

$2.43 each bottle

Step-by-step explanation:

Start with:

\(1.80+35\)%

We can rewrite 35% as a decimal:

\(1.80+.35\)

Add a \(1\) in front of the \(.35\)

Multiply.

\(1.80\) × \(1.35=2.43\)

GIVEN:

We are given a frequency distribution table showing different classes of hours of study and the frequency of each class of data.

Required;

To determine the relative frequency for the third class

Step-by-step solution;

For a relative frequyency, we need to find the number of times an event occurs and express it as a fraction of the total events that occured in the survey/experiment.

The events in this case are hours of study and the occurrence is the total frequency for all classes of hours of study.

The total frequency is;

The relative frequency for the third class therefore would be;

ANSWER:

The relative frequency of the third class therefore is

Answer: This is a nonfunction because there are two different x values for the y value of 20 . In order for it to be functional every x value has to have a different y value.

Step-by-step explanation:

Since the graph of g is translated vertically downward by 3 units, the graph of function h is equal to h(x) = 2x² - 10.

In Mathematics, there are different types of transformation and these include the following:

A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.

Since the graph of g is translated vertically downward by 3 units, the graph of function h would be represented by the following expression:

Note: g(x) = 2x² - 7

h(x) = g(x) - 3.

h(x) = 2x² - 7 - 3.

h(x) = 2x² - 10.

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Answer: W

Step-by-step explanation:

i took the test

Answer:

2y-4=19

Step-by-step explanation:

Boom Logic...

The maximum value of \(\(x^4y^5\) on the line \(x+y=3\)\) occurs at \(\(x = \frac{5}{3}\) and \(y = \frac{25}{12}\)\), and the maximum value is:

\(\(\left(\frac{5}{3}\right)^4 \left(\frac{25}{12}\right)^5\)\)

To find the maximum value of \(\(x^4y^5\) on the line \(x+y=3\) with \(x \geq 0\) and \(y \geq 0\),\)

we can use the method of Lagrange multipliers. The maximum value occurs at the critical points where the gradient of the function is parallel to the gradient of the constraint.

Taking the gradient of x^4y^5 and the constraint x+y=3, we have:

\(\(\nabla (x^4y^5) = (4x^3y^5, 5x^4y^4)\) and \(\nabla (x+y-3) = (1, 1)\)\)

Setting these two gradients equal to each other and solving for x and y, we get:

4x^3y^5 = 5x^4y^4

Dividing both sides by \(\(x^3y^4\)\) (since x and y are both non-zero), we obtain:

\(4y = 5x\)

Substituting this equation into the constraint equation x+y=3, we get:

\(\(x + \frac{4}{5}x = 3\)\)

Simplifying, we find:

\(\(\frac{9}{5}x = 3\)\)

Solving for x, we have:

\(\(x = \frac{15}{9} = \frac{5}{3}\)\)

Substituting this value of \(x\) back into the equation 4y = 5x, we find:

\(\(4y = 5 \cdot \frac{5}{3} = \frac{25}{3}\)\)

Therefore, the maximum value of \(\(x^4y^5\) on the line \(x+y=3\)\) occurs at \(\(x = \frac{5}{3}\) and \(y = \frac{25}{12}\)\), and the maximum value is:

\(\(\left(\frac{5}{3}\right)^4 \left(\frac{25}{12}\right)^5\)\)

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Answer:

The length of the other leg will be = 4

Step-by-step explanation:

You have to use your Pythagoras theorem to determine the length of the other leg.

Hypotenuse^2=a^2+b^2

since you are given the length of the hypotenuse and one leg you can change the formula to:

b^2 = h^2 - a^2

b = √h^2-a^2

b=√5^2-3^2

b=√25-9

b=√16

b=4

Answer:

distance between the two goats is 180 m.

Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.

The AAS congruence theorem

it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.

To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.

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The cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

To determine the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, we need to calculate the net cash flow.

Given information:

Cost of the pizza oven: $600

Expected lifespan: 10 years

Cash inflows: $880 per year for the next 5 years

Cash outflows: $240 per year for the next 5 years

Tax rate: 34%

Calculate the annual depreciation expense:

Depreciation Expense = Cost of the pizza oven / Expected lifespan

Depreciation Expense = $600 / 10 = $60 per year

Calculate the taxable income:

Taxable Income = Cash Inflows - Depreciation Expense - Cash Outflows

Taxable Income = $880 - $60 - $240 = $580

Calculate the tax amount:

Tax Amount = Taxable Income * Tax Rate

Tax Amount = $580 * 34% = $197.20

Calculate the net cash flow:

Net Cash Flow = Cash Inflows - Cash Outflows - Tax Amount

Net Cash Flow = $880 - $240 - $197.20 = $442.80

Therefore, the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.

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The cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

To determine the cash flow for the pizza restaurant in the second year, we need to calculate the net cash flow by subtracting the total cash outflows from the total cash inflows, taking into account the tax rate.

Given:

Cost of the oven: $600

Expected life of the oven: 10 years

Cash inflows per year: $880

Cash outflows per year: $240

Tax rate: 34%

First, we calculate the annual depreciation expense using the straight-line method:

Depreciation expense per year = Cost of the oven / Expected life of the oven

Depreciation expense per year =\(\$600 / 10 = \$60\)

Next, we calculate the taxable income for each year:

Taxable income per year = Cash inflows per year - Depreciation expense per year - Cash outflows per year

Taxable income per year = \(\$880 - \$60 - \$240 = \$580\)

Then, we calculate the tax payable for each year:

Tax payable per year = Taxable income per year * Tax rate

Tax payable per year =\(\$580 * 0.34 =\$197.20\)

Finally, we calculate the net cash flow for the second year:

Net cash flow = Cash inflows per year - Cash outflows per year - Tax payable per year

Net cash flow =\(\$880 - \$240 -\$197.20 = \$442.80\)

Therefore, the cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).

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