Assume that adults have 10 scores that are normally distributed with a mean of 102.7 and a standard deviation of 23.5. Find the probability that a randomly selected adult has an IQ greater than 144.4

Answer:

two

Step-by-step explanation:

solutions are where lines cross

the solutions for this system are (2,0) and (-6,8)

Answer:

2 solutions

Step-by-step explanation:

The solutions are the point(s) of intersection.

By inspection of the graph we can see that line (blue) intersects the parabola (red) at 2 points.

Therefore, the system of equations has 2 solutions.

Answer: 1

5+10=−20+1501+10−10=−20+150−10

Subtract the numbers

15=−20+140

15=−20+14015+20=−20+140+20

Combine like terms

35=140

35=1403535=14035

=4

the missing TR amount for Group 1 is $200 and the missing MR amount is $30.

To calculate the missing TR (total revenue) and MR (marginal revenue) amounts for Group 1, we need to use the given data in the table.

Total revenue (TR) is calculated by multiplying the price (P) with the quantity (Q), while marginal revenue (MR) is the change in total revenue resulting from selling an additional unit of output.

Looking at the table for Group 1, we see that the price (P) is $10 and the quantity (Q) is 20. Therefore, the TR for Group 1 can be calculated as:

TR = P x Q = $10 x 20 = $200.

To calculate MR, we need to compare the change in total revenue when the quantity increases from 20 to 30 units. From the table, we see that the total revenue for Group 1 when the quantity is 30 is $230.

Therefore, the marginal revenue for Group 1 can be calculated as:
MR = TR2 - TR1 = $230 - $200 = $30.

So, the missing TR amount for Group 1 is $200 and the missing MR amount is $30.

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For all values of x greater than or equal to -2, the function f(x) = √(x + 2) + 2 will yield real outputs. So, x = -2.

To determine the input value at which the function f(x) = √(x + 2) + 2 begins to have real outputs, we need to find the values of x for which the expression inside the square root is non-negative. In other words, we need to solve the inequality x + 2 ≥ 0.

Subtracting 2 from both sides of the inequality, we get:

x ≥ -2

Therefore, the function f(x) = √(x + 2) + 2 will have real outputs for all values of x greater than or equal to -2.

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Answer:

This is "vanessahu2007" 's another account. I answer this question in order to mark "eliamns" brainiest. Please do not report.

Step-by-step explanation:

Answer: 2,654.429659

Is this the answer you were looking for? Comment below if it was helpful!

Answer:

2654.4291 foot, but rounded off is 2654 foot

Step-by-step explanation:

The probability that at least one of them is not interested in investment banking is 13/14.

It is a branch of mathematics. The possibility of the outcome of any random event is termed as probability. The range of the probability must be between o to 1. Here o indicates impossibility of an event and 1 indicates certainty. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event.

Probability of the first person who is not interested in investment banking is 6/21

Probability of the second person who is not interested in investment banking and also first person was not interested then it is taken as 5/20.

probability that at least one is not interested in investment banking

=1- The probability that neither one of them is not interested in investment banking

=1-((6/21)×(5/20)

=13/14

Therefore, the probability that at least one of them is not interested in investment banking is 13/14.

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a) Domain of f,g,f+g,f-g,fg,ff,gf, : All real numbers, And for fg​ all real numbers except -1.

b) The functions  (f+g)(x) = -3x + 9, (f-g)(x) = 13x + 7, (fg)(x) =  -40x² - 59x + 8, (ff)(x) = 25x + 48, (g/f)(x) = (1-8x) / (5x+8), (f/g)(x) = (5x+8) / (1-8x).

The given functions are,

f(x)=5x+8 and

g(x)=1−8x

a) The domain of f(x) and g(x) is all real numbers.

To find the domain of f + g, we need to find the values of x for which the sum of f(x) and g(x) is defined. The sum is defined for all real numbers, hence the domain of f+g is all real numbers.

Similarly, the domain of f - g is also all real numbers.

To find the domain of fg, we need to find the values of x for which the product of f(x) and g(x) is defined. The product is defined for all real numbers, hence the domain of fg is also all real numbers.

To find the domain of ff, we need to find the values of x for which the composition of f(f(x)) is defined. The composition is defined for all real numbers, hence the domain of ff is also all real numbers.

To find the domain of gf, we need to find the values of x for which the composition of g(f(x)) is defined. The composition is defined for all real numbers, hence the domain of gf is all real numbers.

To find the domain of fg​, we need to find the values of x for which the composition of f(g(x)) is defined. g(x) is defined for all real numbers, but f(x) is not defined for x = -1.

Therefore, the domain of fg​ is all real numbers except -1.

b)

(f+g)(x) = f(x) + g(x) = (5x+8) + (1-8x) = -3x + 9

(f-g)(x) = f(x) - g(x) = (5x+8) - (1-8x) = 13x + 7

(fg)(x) = f(x) g(x) = (5x+8) (1-8x) = -40x² - 59x + 8

(ff)(x) = f(f(x)) = f(5x+8) = 25x + 48

(g/f)(x) = g(x) / f(x) = (1-8x) / (5x+8)

(f/g)(x) = f(x) / g(x) = (5x+8) / (1-8x)

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Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

Make a table:

x       y            y'            y' Δx + y

1        2           4             4*0.4 +  2 = 3.6   <---this is the new y value.

1.4    3.6        10.08      7.632

1.8    7.632    27.48     18.624

2.2  18.624   81.95      51.70

2.6  51.70    268.85   159.24

3     159.24  955.44    541.4

The statement "All seasons had the same level of variability in game scores" must be false.

To determine which statement must be true based on the mean game scores and standard deviations of four seasons of a football team, we need to analyze the data provided.

Given:

Season 2005: Mean = 193.5, Standard Deviation = 0

Season 2006: Mean = 212.8, Standard Deviation = 0

Season 2007: Mean = 121.0, Standard Deviation = 0

Season 2008: Mean = 94.0, Standard Deviation = 0

From the given data, we observe that all the standard deviations are zero. This indicates that there is no variation or spread in the game scores within each season. However, it is highly unlikely for a football team to have zero variation in game scores across multiple seasons.

Therefore, the statement "All seasons had the same level of variability in game scores" must be false.

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Answer:

g(-3) = -13

Step-by-step explanation:

Plug in -3 for n in the equation:

g(n) = 3n - 4

g(-3) = 3(-3) - 4

Remember to follow PEMDAS. First, multiply, then subtract:

g(-3) = 3 * -3 = -9

g(-3) = -9 - 4

g(-3) = -13

-13 is your answer for g(-3).

~

G(-3) means to replace n with -3:

3n -4 = 3(-3) -4 = -9-4 = -13

The answer is -13

The foci of the given ellipse are (D) (0, 5) and (0, -5).

So, the foci of the ellipse are:

(Refer to the graph attached below)

Therefore, the foci of the given ellipse are (D) (0, 5) and (0, -5).

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The correct question is shown below:

Which are the foci of the ellipse represented by 25x² + 16y² = 400?

A. (-3,0) and (3, 0)

B. (-5, 0) and (5, 0)

C. (0, 3) and (0, -3)

D. (0, 5) and (0, -5)

Answer:

C. 27.5

Step-by-step explanation:

since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.

we would first subtract the two values

we would then divide that number by 2 since we are finding the average between the two numbers

using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)

since both calculated numbers were equal, we know that we calculated the mean correctly.

Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

Answer:

x =37/96 or x = 0.385416

Step-by-step explanation:

12 (16x - 6) = 2

6 (16x - 6) = 1

96x - 36 = 1

96x = 1 + 36

96x = 37

Answer:

Rent for B = 1896
Rent for C = 3062

Step-by-step explanation:

the B and C apartment's monthly rent combined  is $4958
rent of B is 1166 less than rent C
so the equation is
X+ (X+1166) = 4958
X= rent B
X+1166 = rent C

simplifying the equation
2X + 1166 = 4958
subtracte 1166
2X = 3792  

X= 1896, so the rent for B is 1896
after adding the 1166
the rent for C is 3062

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

T = 1 + 1.5x

Step-by-step explanation:

Based on the information provided and we can subtract the time and rain gauge at the end of the data with the time and rain gauge at the beginning. This tells us that in 4 hours the rain increased by 6 inches. If we divide these two values we get.

6 inches / 4 hours = 1.5 inches per hour

We now see that rain has been accumulating at a rate of 1.5 inches per hour. We can use this info to create a linear model where we multiply this rate by the number of hours that have passed (x) after 1 hour which would give us the total amount of rain (T)

T = 1 + 1.5x

Alright, so uno.

By six types of triangles, I'll assume that your teacher meant acute, right, obtuse, scalene, isosceles, and equilateral.

Some easy things to make with triangles are flags.

You could make a triangular leaf, with triangles as the stem.

Look up animals made out tangram triangles for some inspiration.

Honestly, just do whatever you wanna do.

Answer:

-69. Nice!

Step-by-step explanation:

The slope of a line between two points is defined as the ration between the vertical distance and the horizontal distance - note that it doesn't matter if you go from the first to the second point, or the opposite, signs will end up fixed anyways. Let's get calculating!

\(\Delta y = -12 -57 = -69 \\ \Delta x = 99 - 98 = 1\)

Your slope is \(m = {\Delta y \over \Delta x}={-69 \over 1 } = -69\)

There is a centered rectangular lattice but not a centered square lattice because of the different geometric properties of rectangles and squares.

A centered rectangular lattice is a lattice with one point at the center of each rectangle, while a centered square lattice would require one point at the center of each square.

However, squares have equal side lengths and angles, making it impossible for a lattice point to be centered within each square.

In contrast, rectangles have different side lengths and angles, allowing for a lattice point to be centered within each rectangle. Therefore, a centered rectangular lattice is possible, but a centered square lattice is not.

A lattice is an infinite set of points in this space with the properties that coordinate wise addition or subtraction of two points in the lattice produces another lattice point, that the lattice points are all separated by some minimum distance, and that every point in the space is within some maximum distance of a lattice point.

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When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.

The object is depicted as having a cabinet oblique with half height and full depth. In a cabinet oblique drawing, the object's height is depicted at half scale while its depth is represented at full scale.

In doing so, a foreshortening effect is produced, giving the object a deeper than tall appearance. The drawing is normally displayed at a 45-degree angle, with the breadth of the object drawn to full scale.

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 0

Answer:

Below in bold.

Step-by-step explanation:

a)  36 % of 50

= 50 * 0.36

= 18 students got above 80 marks.

b) 100 - 36

= 64% got below 80.

c)

50 - 18 = 32 students got below 80.

Answer:

24.01

Step-by-step explanation:

The question is incomplete the complete question is

Evaluate (4/9) to the power of 2.

We have given that,

(4/9)^2

Apply the product rule to 4/9.

\(\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\)

\(=\frac{4^2}{9^2}\)

\(4^2=16\)

\(=\frac{16}{9^2}\)

\(9^2=81\)

\(=\frac{16}{81}\)

Therefore the (4/9) to the power of 2 is equal to \(\frac{16}{81}\).

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The smallest integer is 1 and solution is (₋1)

Given, the inequality is 2x ₋ 8 ≥ ₋11

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. A statement that two things are not equal is what is meant by the word "inequality." It's possible for one of the items to be more than, smaller than, equal to, or equal to the other things.

now add 8 on both sides.

2x ₋ 8 ₊ 8 ≥ ₋11 ₊ 8

2x ≥ ₋3

dividing both sides by 2.

2x/2 ≥ ₋3/2

⇒ x ≥ ₋3/2

₋3/2 is not an integer.

hence the smallest integer value of x is 1, and solution is (₋1)

Hence we get the integer value as 1.

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Answer:

Step-by-step explanation:

if Charles bought the sneakers for 6.30 and wants to re-sell them with 40% more,

first lets see how much is 40% of 6.30

(6.30*40)/100=2.52

he will resell the shoes with

6.30+2.52=8.82

Answer:

$\(8.82\)

Step-by-step explanation:

\(6.30 + 0.4\times6.30 = 8.82\)

\(\therefore\) Charles will sell the sneakers at a price of $\(8.82\)

Hope this helps :)

Answer:

the answer is |x-15.3|_<_0.4

14.8 and 15.6 in that order

Step-by-step explanation:

With an allowance of 0.4 the length of the straw will be x > 14.8 and x < 15.6.

The absolute value of equality is expressed as |a| is a = ±a.

The absolute value of inequality can be expressed as |a| < 2 is a<2 and a > -2 in the later case we have multiplied a with negative sign and this switches the inequality after simplification.

According to the given question

The length of a manufactured plastic straw is 15.2cm with an acceptable allowance of 0.4cm.

Here allowance of 0.4cm means ±0.4cm allowance on the specific size that plastic straw manufacturer have fixed.

∴ The equation of this will of two forms

(i) x - 15.2 > -0.4.

(ii) x - 15.2 < 0.4.

Now solving these two equations

 x - 15.2 > - 0.4

 x > 15.2 - 0.4

 x > 14.8.

AND

 x - 15.2 < 0.4

 x < 15.2 + 0.4

x < 15.6.

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Answer:

284/3 πx³

Step-by-step explanation:

Volume of a cylinder is expressed as shown:

V = πr²h

r is the radius of the cylinder

r = diameter/2

r = 8x/2

r = 4x

Height of the cylinder = 6x

Volume of the roll with out the hole

V = π(4x)²(6x)

V = 16x²π(6x)

V = 96πx³

The hole in the middle will be a solid sphere with diameter 2x (radius will be x)

Volume of the hole = 4/3πr³

Volume if the hole = 4/3πx³

Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole

= 96πx³ - 4/3πx³

= (96-4/3)πx³

= 284/3 πx³