Jeff Bezos, the owner of Amazon, hires you to do research for his company for 3
days over your spring break. He pays you $100 for your first day of work, $200
for your second day, and $300 for your third day, for a total of $600. Is the total
pay you receive a function of the number of days you work? Create a table using
number of days as inputs and total pay as output.

Suppose that IQ scores in one region are normally distributed with a standard deviation of 14.  the mean IQ score for this region is 97.2.

z =(x-mean)/standard deviation

58th percentile is a z-score of 0.202

Hence,

0.202=(100-mean)/14

2.828=100-mean

Multiplying through by 14

Mean IQ score = 100- 2.828

Mean IQ score =97.17

Mean IQ score =97.2 (Approximately)

Therefore the mean IQ score for this region is 97.2 .

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Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

The volume of the solid of revolution is  0

The volume of the solid of revolution obtained by rotating the region bounded by the curves x=0 and y=0 is zero since the area of the region is zero.

To calculate the volume of a solid of revolution, we use the formula V = ∫2dx, where r is the radius of the circle obtained by rotating the curve about the x-axis. Since the region bounded by the curves x=0 and y=0 has an area of 0, the radius r is also 0 and the integral becomes 0. Therefore, the volume of the solid obtained by rotating the region bounded by the curves x=0 and y=0 is 0.

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Answer:

32.2

Step-by-step explanation:

Given :

f(x) = x² +9

P(x) = f(x) - 34 ÷ x + 5

P(5) =?

Substitute 5 for X on P(x)

P(5) = f(5) - 34 ÷ x + 5

f(5) = 5² + 9 = 25 + 9 = 34

P(5) = 34 - 34 ÷ 5 + 5

According to PEMDAS

-34 ÷ 5 = - 6.8

P(5) = 34 - 6.8 + 5

P(5) = 34 - 1.8

P(5) = 32.2

Answer: 2.5% of people have an IQ over 126.

Step-by-step explanation:

Given: The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13.

126 = 100 + 2(13) = Mean +2 ( standard deviation)

To find : % of people have an IQ over 126.

i.e. % of people have an IQ over Mean +2 ( standard deviation).

According to the standard deviation rule,

95% of data fall within two standard deviations.

Now, 100% - 95% = 5%

and Half of 5% is 2.5%.

So 2.5% of the data lies below 2 standard deviations of mean and 2.5% of the data lies above 2 standard deviations of mean .

i.e.  2.5% of people have an IQ over 126.

The returned value would be 70 which is the missing value in the data set. Hence, option D is correct. We have some X values; we called these numeric inputs and some Y value that we are trying to predict.

This set of data would yield a result of 70 if a median imputer were run on it. In regression, we have some X values that are referred to as independent variables and some Y values that are referred to as dependent variables (this is the variable we are trying to predict). Several Y values are possible, but they are uncommon.

Learning a function that can predict Y given X is the fundamental concept behind a regression. Depending on the data, the function may be linear or non-linear.

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Complete question is:

Imagine X in the below is a missing value. If I were to run a median imputer on this set of data. What would the returned value be? 50 , 60 , 70 , 80 , 100 , 60 , 5000 , x (It's okay to have to look up how to do this!)

50

An error

80

70

100

The basic idea of a regression is very simple. We have some X values, we called these ______ and some Y value (this is the variable we are trying to _______.

We could have multiple Y values, but that is not but that is not re-ordered ordinals intercepts features numeric inputs.

Answer:

\(12x\)

Step-by-step explanation:

You can simply subtract them, since they both have "x" in them (same term).

\(23x-11x=12x\)

Answer:17% increase

Step-by-step explanation: 350-300= 50

50/300=1/6

1/6=.17

.17=17%

Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

Answer:

AB or the distance across the river is about 171.36 meters.

Step-by-step explanation:

Please refer to the diagram below (not to scale). The area between the two blue lines is the river.

To find AB, we can use the Law of Sines. Recall that:

\(\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}\)

BC (or a) is opposite to ∠A and AB (or c) is opposite to ∠C. Thus, we will substitute in these values.

First, find ∠A. The interior angles of a triangle must total 180°. Thus:

\(m\angle A + m\angle B + m\angle C = 180^\circ\)

Substitute:

\(\displaystyle m\angle A + (112.2^\circ) +(18.3^\circ) = 180^\circ\)

Solve for ∠A:

\(m\angle A = 49.5^\circ\)

Substitute BC for a, AB for c, 49.5° for A and 18.3° for C into the Law of Sines. Thus:

\(\displaystyle \frac{\sin 49.5^\circ}{BC} = \frac{\sin 18.3^\circ}{AB}\)

Since BC = 415 m:

\(\displaystyle \frac{\sin 49.5^\circ}{415} = \frac{\sin 18.3^\circ}{AB}\)

Solve for AB. Cross-multiply:

\(\displaystyle AB \sin 49.5^\circ = 415\sin 18.3^\circ\)

And divide:

\(\displaystyle AB = \frac{415\sin 18.3^\circ}{\sin 49.5^\circ}\)

Use a calculator. Hence:

\(AB = 171.3648...\approx 171.36\text{ m}\)

AB or the distance across the river is about 171.36 meters.

Answer:

C

Step-by-step explanation:

line XOZ is 180°

so when 52°+x=180

180-52=128

x=128

Answer: a lot

Step-by-step explanation:

Answer:

ummmm none? maybe

Step-by-step explanation:

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

23/28   (82.1%)

Step-by-step explanation:

See attached Venn Diagram

23 out of 28  play basketball or baseball

A mean is an arithmetic average of a set of observations. The correct option is D.

A mean is an arithmetic average of a set of observations. It is given by the formula,

Mean = (Sum of observations)/Number of observations

To make the calculations easy let's round off the given numbers. Therefore, we can write the values as,

Least expensive A=30

Most expensive B=90

half of order C=70

Now, the mean and the money for half the people can be written as,

Mean = (least + most)/2 = 60

money for half people = 5 × 60

Therefore, the amount of money for half people will be,

Amount of money for half people = 300

Lower limit for amount of the other half = 29.95 × 5 = 149.5

The Upper limit for the amount of the other half = 89.95 × 5 = 449.75

Mean = (149.75 + 449.75)/2 = 299.6Total money spent (Mean) = 299.6 + 299.6 = 599.25

Hence, The Best estimate is $660. This is because it is closest to 599.25.

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Ten people ordered calculators. The least expensive was $19.95 and the most expensive was$39.95. Half ordered a $29.95 calculator. Select the best estimate of the amount spent on calculators.

a.$240,

b. $310,

c.$345,

d. $355

Answer: I think its 15

Step-by-step explanation:

Answer:

\(8\)

Step-by-step explanation:

\(x\) is the larger number.

\(y\) is the smaller number.

\(x+y=30\\2x-3y=5\)

It becomes a simultaneous equation.

Let's solve for \(y\):

\(x=-y+30\)

\(2x-3y=5\\2(-y+30)-3y=5\\-5y+60=5\\-5y+60+-60=5+-60\\-5y=-55\\y=11\)

Let's solve for \(x\):

\(x=-y+30\\x=-11+30\\x=19\)

Find out the positive difference between the two numbers.

\(x-y\\19-11\\=8\)

B — No

A function can only have one output value.

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Chioke does both on the same day is on 12th day

LCM is the short form for “Least Common Multiple.” The least common multiple is defined as the smallest multiple that two or more numbers have in common

Given that

Chioke goes to the gym every fourth day. He works at the soup kitchen every third day. Chioke went to the gym and worked at the soup shop

we have to find out when will he next do both on the same day

Chioke goes to the gym = 4

Chioke work at the soup kitchen = 3

3 and 4 have no common prime factors

Now multiply 3 and 4 to get the LCM

LCM = 3 x 4

= 12

day 12 is when he does both on the same day

As a result, Chioke does both on the same day, the 12th.

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Answer:

No Solution

Step-by-step explanation:

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

Answer:

In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0

Step-by-step explanation:

Answer: negative numbers and the number 0 are non logarithmic functions

Step-by-step explanation:

The discontinuity of the function is removed and the value of the function at 1 after removing the discontinuity is 8.

What is meant by a discontinuity in a function?

In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. If a function in algebra is not continuous, it is referred to as a discontinuous function. A discontinuous function has a discontinuous curve, just like a continuous function does.

Given f(x) = 2x²+4x-6 / (x-1)  

This function has a  discontinuity at 1 because when we substitute x =1, the denominator becomes 0 and the function becomes undefined.

But this discontinuity is removable and can be done as shown:

We can factorize the numerator as below:

2x²+4x-6 = 2x²+6x - 2x -6 = 2x(x+3) -2(x+3) = (2x - 2)(x+3) = 2(x-1)(x+3)

Now when we substitute the factorized form of the numerator in the function. Then,

f(x) =  2(x-1)(x+3) / (x-1)

(x-1) can be cancelled from both the numerator and denominator. So the discontinuity is removed.

f(x) = 2(x+3)

Now f(1) = 2 * (1+3) = 8

Now the function is continuous at 1.

Therefore the value of the function at 1 after removing the discontinuity is 8.

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The equation of the linear least-squares regression line is given by:

\(\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})\)

A linear function is modeled by the following rule:

y = mx + b

In which:

For this problem, we have that:

From the table, we get that:

Water is being poured into the cone, hence the volume is increasing and the slope is positive. The equation will be given by:

\(\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})\)

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