question 4 suppose the fraction of high school students who can drive is 15% and the fraction of college students who can drive is 23%. if one-fifth of the students are college students and the rest are high school students, what is the probability that a student who can drive is a college student? select the correct probability.

Answer:

y=1/2x+5/2

Step-by-step explanation:

The slope will not change if the line is parallel.

So start with 1/2x and plug in 1.

You will get 1/2 and you need to get a total of 6/2 to get a y of 3.

since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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When conducting an assessment, the nurse observes fine, downy hair covering the newborn's shoulders and back. This finding is interpreted as lanugo.

So, the correct answer is B.

Lanugo is a soft, fine hair that covers the fetus and sometimes remains on the newborn's body after birth, particularly in preterm infants.

Milia are small, white bumps on a baby's skin, while vernix caseosa is a white, waxy substance that protects the baby's skin in the womb. Harlequin sign is a temporary skin color change in newborns. In this case, lanugo is the appropriate term to describe the observed hair on the baby's shoulders and back

Hence, the answer of the question is B.

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Answer:

D. 1×10⁻⁸ M

Explanation:

[H⁺] [OH⁻] = 10⁻¹⁴

(1×10⁻⁶) [OH⁻] = 10⁻¹⁴

[OH⁻] = 1×10⁻⁸

After answering the presented question, we can conclude that where the equation center is (-3, 5) and the radius is 8.

An equation is a mathematical statement that validates the equivalent of two expressions linked by the equal symbol '='. For example, 2x - 5 = 13. 2x-5 and 13 are two phrases. The character '=' is used to connect the two expressions. An equation is a mathematical formula that has two algebras on either side of an assignment operator (=). It illustrates the equivalency relationship between the left and middle formulas. In any formula, L.H.S. = R.H.S. (left side = right side).

\(x^2 + 6x + 9 = (x + 3)^2\\y^2 - 10y + 25 = (y - 5)^2\\(x + 3)^2 + (y - 5)^2 = 64\\(x - (-3))^2 + (y - 5)^2 = 8^2\)

where the center is (-3, 5) and the radius is 8.

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Answer:

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Step-by-step explanation:

Let us solve the question

∵ String A is 35 centimeters long

∵ String B is 5 times as long as String A

→ Multiply the length of A by 5 to get the length of B

∴ The length of string B = 35 × 5 = 175 cm

∵ Both are necessary to create a decorative bottle

∴ The length needed for 1 bottle = 35 + 175 = 210 cm

∴ Each bottle needs 210 cm to be decorated

∵ There are 17 identical bottles

→ Multiply the length needed for 1 bottle by 17

∴ The total length needed = 17 × 210 = 3570 cm

∴ The total length needed to decorate 17 bottles is 3570 cm

∵ 1 meter = 100 centimeter

→ Divide the total length by 100 to express it in meters

∴ 3570 cm ÷ 100 = 35.70 m

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 kg/m³

The conversion value:

1 gram = 1/1000 kg

1 cm³ = 1/1000000 m³

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Grams per cubic centimeter = g/cm³

Kilograms per cubic meter = kg/m³

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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\(-\frac{1}{5}\) ÷ 20 = - 100

or -0.01

there are two answers you can come up with choose wisely

Answer:

41

Step-by-step explanation:

29+20=49

and sense a right triangle is 90 degrees

90-49=41

The correct answer is: None of these answers is correct.The random variable representing the time lapsed during the run in this experiment is a continuous random variable.

I apologize for the previous incorrect answer. The random variable representing the time lapsed during the run in the given experiment is a continuous random variable. A continuous random variable can take on any value within a specified range or interval. In this case, the time elapsed during the run can theoretically be any non-negative real number, allowing for an infinite number of possible outcomes. It is not restricted to specific discrete values or intervals. Examples of continuous random variables include time, length, weight, and temperature.

Continuous random variables are characterized by their probability density function (PDF), which describes the likelihood of observing different values. In contrast, a discrete random variable would have a finite or countable set of possible values, such as the number of heads obtained in a series of coin flips.

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Answer:

volume = length×breadth×height

3×4×4=48in cube

In total, Menaha traveled 97km 1000m (97.1km).

Distance is a numerical measurement of how far apart two objects, points, or places are in space. Distance can be measured in linear units such as meters, kilometers, feet, miles, etc. It can also be measured in angular units such as degrees or radians.

Distance can also refer to the space between two points in time, such as the time between two events. Distance can be used to measure physical distance, time, or even emotional distance.
To calculate this, the two distances must be added together.
The train distance is =86km 520m (86.52km)

and the car distance is =11km 480m (11.48km).
When added together, =86km 520m+11km 480m = 97.52km.
However, since the distances are measured in km and m,
it is necessary to convert the measurements into a single unit of measurement.
To do this, the measurements must be converted into metres.
The train distance is 86,520 metres

And the car distance is 11,480 metres.
When added together,

the total distance is 97,000 metres (97km).

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Answer: B. XIX

Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.

X represents 10.

IX represents 9 Because...

... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.

So you combine the 10 and 9 to get XIX.

Answer:

Step-by-step explanation:

Factorize both numbers:

Common factors are:

So HCF is:

\(\Large \red \mid \: \underline {\rm {{{\color{blue}{Explanation...}}}}} \: \red \mid\)

As per Euclid Division Algorithm.

\( \longrightarrow \: \Large\underbrace {\rm {{{\color{red}{ \: a \: = \: bq \: + \: r \: }}}}} \)

\(\large\bf{\purple{ \hookrightarrow \: }} \tt \: \: 900 \: = \: 270 \: \times \: 3 \: + \: 90\)

\(\large\bf{\orange{ \implies \: }} \: \:r \: \neq \: 0\)

Again Applying Euclid Division Algorithm

\(\large\bf{\purple{ \hookrightarrow \: }} \tt \: 270 \: = \: 90 \: \times \: 3 \: + \: 0\)

\(\large\bf{\orange{ \implies \: }} \: \:r \: = \: 0\)

As the reminder is 0 , 90 will be the greatest common divisor for the two given numbers.

\({\boxed{ \Large{ \blue{ \bf{ \underline{ HCF \: = \: 90}}}}}}\)

Answer:

  a = 0

Step-by-step explanation:

The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...

  (x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0

Comparing that to x^a, we find a=0.

_____

The applicable rules of exponents are ...

  \(\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\\dfrac{x^a}{x^b}=x^{a-b}\)

Answer:

2100

Step-by-step explanation:

2000+400= 2400

2400-300= 2100

Answer:-x( x-3 ) ( x + 3 )(2x-1)

Step-by-step explanation:

Find the first factor which is : -1 ( 2 x 3 -x2- 18 x + 9)

Find the second factor which is : -x( x - 3)( 2 x 2+ 5x - 3)

Find the third which is: -x( x - 3) (x + 3) (2x - 1)

Find the fourth which is : -x ( x - 3) (x + 3 ) (2x - 1)

The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

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The indefinite integral of \(x^4 ln(1 + x)\) can be expressed as a power series with radius of convergence equal to 1.

To find the power series representation of the given integral, we start by using integration by parts with\(u = ln(1 + x)\)  and \(dv = x^4 dx\). This gives us:

integral of \(x^4 ln(1 + x) dx = x^4 (ln(1 + x) - 1) - 4x^3 + 12x^2 - 24x + 24 + C\)

where C is the constant of integration.

Next, we can express ln(1 + x) - 1 as a power series, as follows:

ln(1 + x) - 1 = -Σ\((-1)^n * x^n / n\)   (n=1 to ∞)

Substituting this into the integral expression and simplifying, we get:

integral of \(x^4 ln(1 + x) dx\)= sum from n=1 to ∞ \((-1)^n * x^{n+4} / n(n+4) - 4x^3 + 12x^2 - 24x + 24 + C\)

This is the power series representation of the given integral, with radius of convergence equal to 1 (since the series diverges when |x| > 1).

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Answer: False

Step-by-step explanation:

The x-value of 1 maps onto 4 different y values.

The order of values in ascending order will be -4<-2<2<2.64<4<16 as the definition of ascending order says, "When numbers are arranged in ascending order, they are done so from smallest to largest".

When numbers are arranged in ascending order, they are done so from smallest to largest. Climbing down the stairs of numbers starting with their highest value is another way to think of descending. The slide is descended while moving down it. Ascending order, in which the numbers are arranged from lower value to higher value, is the opposite of descending order. A number can be arranged in ascending order by going from smallest to largest from left to right.

Here,

4²=16

-√4=-2

√4²=4

-2√4=-4

6-4=2

√7=2.64

-4<-2<2<2.64<4<16

According to the definition of ascending order, "When numbers are arranged in ascending order, they are done so from smallest to largest," the order of values in ascending order will be -4<-2<2<2.64<4<16.

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Answer:

(5, - 7 )

Step-by-step explanation:

A translation rule of

(x, y ) → (x + 1, y - 3 )

means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate, that is

(4, - 4 ) → (4 + 1, - 4 - 3 ) → (5, - 7 )

The APR to the nearest tenth percent (one decimal place) can be obtained using the formula provided below;APR = ((Interest + Fees / Loan Amount) / Term) × 12 × 100%.

Interest = Total Interest

Paid Fees = Total Fees Paid

Loan Amount = Amount Borrowed

Term = Loan Term in Years.

Shirley Trembley bought a house for $184,800 and she put 20% down which means the amount borrowed is 80% of the house price;Amount borrowed = 80% of $184,800 = $147,840Simple interest amortized loan for the balance at 1183% for 30 yearsLoan Term = 30 years.

Interest rate = 11.83% per year Total Interest Paid for 30 years = Loan Amount × Rate × Time= $147,840 × 0.1183 × 30= $527,268.00Shirley paid 2 points and $3,427.00 in fees, $1,102.70 of which are included in the finance charge,The amount included in the finance charge = $1,102.70Total fees paid = $3,427.00Finance Charge = Total Interest Paid + Fees included in the finance charge= $527,268.00 + $1,102.70= $528,370.70APR = ((Interest + Fees / Loan Amount) / Term) × 12 × 100%= ((527268.00 + 3427.00) / 147840) / 30 × 12 × 100%= 0.032968 × 12 × 100%≈ 3.95%Therefore, the APR is 3.95% (to the nearest tenth percent).

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Answer:

3(x) + 8

Step-by-step explanation:

x being the number

Answer:

3x+8

Step-by-step explanation:

cause x represents the number

An equation is a mathematical statement that shows that two expressions are equal. Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

Here is an example of solving an equation:

Example: Solve for x in the equation 3x + 5 = 11

To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by performing the same operation on both sides of the equation to eliminate the 5 on the right side. In this case, we can subtract 5 from both sides of the equation to obtain:

3x + 5 - 5 = 11 - 5

3x = 6

Now we need to get x by itself on the left side of the equation. We can do this by dividing both sides of the equation by 3 to obtain:

(3x)/3 = 6/3

x = 2

Therefore, the solution to the equation is x = 2.

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If the figure "WXYZ" is a kite and m∠WXY=13x+24, then the measure of the angle-ZYX is 101.6 degrees.

A "Kite" is defined as quadri-lateral which has two pairs of "adjacent-sides" which are congruent and "one-pair" of "opposite-angles" which are congruent .

We know that the sum of all the vertices of the kite is 360 degree,

So, we add all the vertices of the kite,

We get,

⇒ m∠WXY + m∠WZY + m∠ZWX + m∠ZYX = 360°,

Substituting the values,

We get,

⇒ 13x + 24 + 35 + 13x + 4 + m∠ZYX = 360°,

⇒ 26x + 63 + m∠ZYX = 360°,

⇒ m∠ZYX = 360 - 63 - 26x,

⇒ m∠ZYX = 297 - 26x,      ...equation(1)

We also know that, "two-angles of kite are equal where "unequal-sides" meet".

So, m∠ZWX = m∠ZYX,

Substituting the values,

We get,

⇒ 13x + 4 = m∠ZYX,       ....equation(2),

Equating equation(1) and equation(2),

we get,

⇒ 13x + 4 = 297 - 26x,

⇒ x = 293/39,

Substituting this in equation(2),

We get,

⇒ 13(293/39) + 4 = m∠ZYX,

⇒ 293/3 + 4 = m∠ZYX,

⇒ m∠ZYX ≈ 101.6 degree.

Therefore, the measure of the angle ZYX is 101.6 degrees.

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The given question is incomplete, the complete question is

The figure WXYZ is a kite. If m∠WXY=13x+24, m∠WZY=35, and m∠ZWX=13x+4, find m∠ZYX?

Answer:

the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

Step-by-step explanation:

if there is no mistake in the problem description, I read the following function :

C(x) = y = 0.3x² - 1.2x + 2

I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.

the first derivative of C(x) is

0.6x - 1.2 = y'

0.6x - 1.2 = 0

0.6x = 1.2

x = 2

C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8

so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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