Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30

a. FPCF for this sample is FPCF = √(199/24) = 2.89.

b. The population cannot be considered effectively infinite, so the answer is no.

When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.

The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.

a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:

FPCF = √(N/n)

where N is the population size, and n is the sample size.

In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).

FPCF = √(199/24) = 2.89 (rounded to two decimal places)

b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.

In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.

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Answer:

x = 3

Step-by-step explanation:

i just did it

Answer:

x=3

Step-by-step explanation:

Step-by-step explanation:

5 teachers for every 115 students

3 tutors for every 27 students

If there are 90 students, then number of tutors:

By answering the given question, we may state that We can apply the formula if we know the radius: C = 2πr where the radius r is.

In geometry, a circle's diameter is any straight line segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. The diameter of a sphere can be defined using either idea. The diameter is the length of the line perpendicular to the two points at either end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.

We must know the base's diameter or radius in order to calculate the circumference of the tin.

If we know the diameter, we can apply the following formula to determine the circle's circumference:

C = πd

where d is the diameter and C is the circumference.

We can apply the formula if we know the radius:

C = 2πr

where the radius r is.

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Answer: 5 and -7

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

5

Step-by-step explanation:

x * x + 2x - 35 = 0

5× 5+ 10 - 35= 0

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Thus, the chance according to the equation that the average actual weight for the \(100 weights\) is higher than \(24.9 pounds\) is roughly \(0.9582\)

An equation in mathematics is a declaration of the equivalence of two expressions. Two parts of an equation are divided by the algebraic symbol (\(=\)). As an example, the assertion "\(2x+3=9\)" is supported by the argument that it is true.

Finding the value or values of the variable(s) needed to make the equation correct is the aim of equation solving. It is possible to create regular or nonlinear, straightforward or complex equations that include one or more variables.

For instance, the variable\(x\) is raised to the second degree in the equation "\(x^{2} +2x-3\)". In many areas of mathematics, such as algebra, calculus, or geometry, lines are used.

The weights are distributed evenly, with a minimum value of \(24\) and a highest value of \(26\). The average of the lowest and maximum values, which is the mean weight of a single weight, is

\((mean weight)= (24+26)/2 = 25 pounds\)

The standard deviation of a single weight is the difference between the maximum and minimum values divided by\(\sqrt{12}\) (since there are \(12\)possible values between \(24\) and \(26\)), which is

\(Standard deviation = (24+26)/\sqrt{12}\)

\(We know (standard deviation of mean weight ) = 0.57735/\sqrt{100} =0.057735\)

We must standardise this value by taking the mean weight, subtracting it, and dividing the result by the mean weight's standard deviation in order to determine the likelihood that the mean actual weight for the\(100\)weights is higher than \(24.9 pounds\):

\(( Z- score )= (24.9-25)/0.057735 = -1.7321\)

Probability is \(less than\) \(-1.7321 in Z- score approx 0.0418\)

However \(mean actual weight > 24.9\) which is the complement of the probability i.e, \(\leq 24.9\)

After subtracting the probability we found \(1\) \((mean weight > 24.9)\)

∴\(1 -0.0418 = 0.9582\)

Therefore the  the average actual weight for the \(100 weights\) is higher than \(24.9 pounds\) is roughly \(0.9582\)

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Answer:

12 times

Step-by-step explanation:

Earth-Moon (EM) = 12⁵ miles

Sun-Mercury (SM) = 12⁷ miles

Sun-Jupiter (SJ) = 12⁸ miles

just FYI, these numbers are only a rough simplification for this example. the real distance are quite a bit different.

so, SJ/SM = 12⁸ / 12⁷ = 12¹ = 12

=> Jupiter is 12 times farther away from the Sun than Mercury.

12 times greater is the distance from the Sun to Jupiter than the distance from the Sun to Mercury.

Distance is the total movement of an object without any regard to direction.

Given:

Earth-Moon = 12⁵ miles

Sun-Mercury = 12⁷ miles

Sun-Jupiter = 12⁸ miles

so,

Sun-Jupiter/Sun-Mercury

= 12⁸ / 12⁷

= 12¹

= 12

Hence, Jupiter is 12 times farther away from the Sun than Mercury.

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Answer:

2, 5, 8, 11

Step-by-step explanation:

The domian is the x axis points thingy

Answer:

Domain: -3 ≤ x ≤ 9

Step-by-step explanation:

The domain of the graph is the set of all possible x-values.

The set of all possible values as represented on the graph above runs from -3 to 9.

This, domain of the graph is -3 ≤ x ≤ 9

Answer:

90 + 2 = 92

180 - 92 = 88

Angle Q = 88

Step-by-step explanation:

All a triangles, angles should equal to 180.

Answer:

180 = 3 x + 90

Step-by-step explanation:

Hope it helps.Give me a brainliest please.

Answer:

Pie charts can generally be used instead of bar graphs

Step-by-step explanation:

A pie chart can be used instead of a bar chart. A pie chart is an alternative to the bar chart. Both of these can be regarded as data visualization tools. The pie chart shoes us generally how several parts makes up a whole. While the bar chart uses rectangular bars to show us the proportion of each of the categories of data

The statement which is true among the given group of options is; Pie charts can generally be used instead of bar charts.

Pie charts can be used as substitutes for bar charts. This stemmed from.the fact that both tools are data visualization tools.

On this note, pie charts can be used to replace the bar charts even though pie charts entails dividing the 360° angle in a circle in respective ratios.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

6

Step-by-step explanation:

H is proportionate to L, meaning that they can be represented as a ratio, \(\frac{h}{l}\).

\(\frac{18}{60}\)

If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.

\(\frac{18}{60} = \frac{x}{20}\).

To find x, we can cross multiply.

\(20\cdot18=360\\\\360\div60=6\)

So \(x=6\), meaning that when \(L=20\), \(H=6\).

Hope this helped!

Answer:

H varies directly as L.

H=KL.

18=K60.

K=18/60=0.3.

H=0.3L

when H=?,L=20. then.

H=0.3×20=6.

Step-by-step explanation:

w = t/7

at the beginning we 0 inches of water.

after 56 minutes we have 8 inches of water.

that is a ratio of 56 minutes / 8 inches = 7/1 = 1 / 1/7.

so, in 1 minute we get 1/7 inch of water.

in 2 minutes 2×1/7 = 2/7.

in 3 minutes 3×1/7 = 3/7.

...

hence the equation.

Answer:

Step-by-step explanation:

Find the value of m and b in the equation y = mx + b.

The value of b = 0, since there is no level in the bucket initially.

Find the value of m, the slope:

So the equation is:

or

Answer: a = 3

Step-by-step explanation:

Answer:

E. 12 red, 6 green, 4 blue

Step-by-step explanation:

To find the number of colored pencils for each color, we must find ratios.

480 red: 240 green: 160 blue

Then we divide them to the simplest ratios.

We divide all the numbers by 80.

6 red: 3 green: 2 blue

There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.

12 red: 6 green: 4 blue

The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.

Without looking, Carlos pulls out 22 pencils.

The pencils were distributed randomly in the bin.

To find the numbers of pencils of each color:

First, we will find the ratio.

Red : Green : Blue

= 480 : 240 : 160

We will factor out the common factor,

= 12: 6: 4

Therefore, 12 red, 6 green, 4 blue are the pencils of each color.

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The total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.

First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):

Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94

Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):

Number of days = 15 - 1 = 14

Using the daily interest rate and the number of days, we can calculate the proration for interest:

Proration for interest = ($36.94 x 14) = $516.76

To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:

Daily property tax rate = $3,893.25 / 365 = $10.65

Next, we need to determine the number of days from the start of the year to the closing date (June 15):

Number of days = 165

Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:

Proration for property taxes = ($10.65 x 165) = $1,754.25

Therefore, the total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.

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The obtuse angle is shown in the diagram below:

The word, "bisect" means to divide an angle into 2 equal parts. Given that ray XY bisects angle AXB, it mean that it divides it into two equal halves. Theregfore, angle YXB is 140/2 = 70 degrees

Using a linear and a quadratic function, it is found that the largest possible revenue is of $9,800,000.

The demand function has a linear format, given by:

\(P = mh + b\)

In which:

40 houses can be sold for $200,000 each, thus, the first point of the linear function is: (40, 200000).

60 houses can be sold for $160,000 each, thus, the second point is: (60, 160000).

The slope is given by change in the output divided by change in the input, thus:

\(m = \frac{160000 - 200000}{60 - 40} = -2000\)

Thus:

\(P = -2000h + b\)

Point (40, 200000) means that when \(x = 40, y = 200000\). This is used to find b.

\(P = -2000h + b\)

\(200000 = -2000(40) + b\)

\(b = 280000\)

Then

\(P = -2000h + 280000\)

The revenue function is:

\(R = hp = -2000h^2 + 280000h\)

It is a quadratic equation with \(a = -2000, b = 280000\)

Since the quadratic equation is concave down, the maximum value is:

\(R_{MAX} = -\frac{b^2 - 4ac}{4a} = -\frac{280000^2}{4(-2000)} = 9800000\)

The largest possible revenue is of $9,800,000.

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Answer:

x=3

x=8

Step-by-step explanation:

The "Zero Product Property" says:

If  (x−3)(x−8) = 0  then   (x−3) = 0   or   (x−8) = 0

Now we just solve each of those:

For (x−3) = 0 we get x = 3

For (x−8) = 0 we get x = 8

And the solutions are:

x = 3, or x = 8

a) There are 700 x 36/100 = 252 students who use public transport.

b) There are 700 - 250 = 450 female students in the school. The percentage of female students in the school is 450/700 x 100% = 64%.

Step-by-step explanation:

3x - 2 is formatted in the formula y = mx + c

To substitute for 3x - 2

y = 3x -2

Answer:

\(54\pi \: {cm}^{2} \)

Step-by-step explanation:

Given:

A cone

l = 15 cm

r (radius) = 3 cm

Find: A (surface area) - ?

\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)

\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} \)

The equation of the function shown in the table is y=2x +1, the correct option is B.

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

\((y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\)

We are given that;

The x and y of the function

Input x: -2 -1 0 1 2

Output y: -3 -1 1 3 5

Now,

The general equation of line

y=mx+c

Here, m= 5-3/2-1

m=2

Substituting the value of m in general equation.

y=2x +1

Therefore, the equation of line will be y=2x +1

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

The correct answer is C! :)

Step-by-step explanation:

Answer:

The rule of reflection over y-axis is  (x,y)→(-x ,y)

M(-5,4) →M¹( 5 , 4)

N(-3,2) →N¹(3 ,2)

L(-6,2) →L¹( 6,2)

Step-by-step explanation:

Explanation:-

Type of transformation                     change to co-ordinate point

Reflection over x-axis                          (x,y)→(x ,-y)

Reflection over y-axis                          (x,y)→(-x ,y)

Given co-ordinate is M(-5,4)

The reflection over y-axis is  (x,y)→(-x ,y)

M(-5,4) →( 5 , 4)

N(-3,2) →(3 ,2)

L(-6,2) →( 6,2)

Answer: the answer is a

Step-by-step explanation:

Hope that helped