Using the Weshcler IQ test, adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. b) Find the score of an individual who is at the 85th percentile.​

The values of f(0) that can be read from (a similar question in part (a) and (c)) the table, functions, and graph in the question are;

(a) f(0) = 1

(b) f(0) = 12

(c) f(0) = -2

Part of the question appears missing. From a similar question online, we have;

(a) A table of values;

x: -1, 0, 1, 2, 3

y: 7, 1, 6, -3, -4

Taking the function, f(x) = y, we have;

From the above values in the table, when x = 0, y = f(0) = 1

Therefore;

(b) y = 12 - 2•x²

Taking the function, f(x) = y, we have;

At x = 0, y = f(0) = 12 - 2 × 0² = 12

Therefore;

(c) A graph of a parabola passing through the points (-1, 3), (2, -6), (5, 3)

Let f(x) = a•x² + b•x + c, represent the function, we have;

f(-1) = 3 = a•(-1)² + b•(-1) + c = a - b + c

f(2) = -6 = a•(2)² + b•(2) + c = 4•a + 2•b + c

f(5) = 3 = a•(5)² + b•(5) + c = 25•a + 5•b + c

Solving the system of linear equations, (1), (2), (3) using a graphing calculator gives;

a = 1, b = -4, c = -2

Which gives;

f(x) = x² - 4•x - 2

Therefore;

f(0) = 0² + 4×0 - 2 = -2

Which gives;

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Answer:

\(Area = 2m^8 - 6m^4 + 4.5\)

Step-by-step explanation:

Given

\(Base = 2m^4 - 3\)

\(Height = 2m^4 - 3\)

Required

The area

This is calculated as:

\(Area = 0.5 * Base * Height\)

\(Area = 0.5 * (2m^4 - 3) * (2m^4 - 3)\)

Open brackst

\(Area = 0.5 * (4m^8 - 6m^4 - 6m^4 + 9)\)

\(Area = 0.5 * (4m^8 - 12m^4 + 9)\)

Open bracket

\(Area = 2m^8 - 6m^4 + 4.5\)

\( \large \mathfrak{Answer : }\)

Scientific notation for above vLue is :

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

-32

Step-by-step explanation:

Because if you multiply

4 x-2=-8

-8 x -2=16

16 x -2 =-32

-32 x -2=64

Answer:

First one:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

Step-by-step explanation:

7 × 8⅘

7(8) + 7(4/5)

56 + 28/5

56 + 5 + 3/5

61 3/5

Answer:

its A

Step-by-step explanation:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

and pls mark me as brainliest if this is correct! :D

Step-by-step explanation:

The given inequality is :

x – 2y > 16

We need to draw the graph of this inequality.

If x = 0,

-2y>16

y>-8

If y = 0,

x>16

So, we can draw the graph as follows :

The measurement of the angle X is 60 degrees.

Angles L and X are the highest angles according to the diagram. They line up to have an angle of L = X = 60 degrees.

However, because the figures in a diagram could be oddly arranged, you shouldn't rely exclusively on it. A more effective strategy is to consider the letter combinations JKLMN and VWXYZ.

Observe how the third letters of JKLMN and VWXYZ, respectively, are L and X. This indicates that the letters are congruent angles and couple up (since the polygons are similar). Thus, this is a non-visual method of understanding how angle L = angle X = 60.

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Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

---------------------------------

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Hope this helps! :)

Answer:

Step-by-step explanation:

10 tacos = $8.49

So, one taco = $8.49 / 10

=> $0.849

If my answer helped, kindly mark me as the brianliest!!

Thank You!!

Answer:

about $0.85

Step-by-step explanation:

8.49 divided by 10 = 0.849. Round to the nearest thousanths.

If the graph of \(f(x) = 4e^{0.1x}\) is blue, then the graph of \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

For the rate of change of the blue exponential function \(f(x) = 4e^{0.1x}\), we have the following:

b = \(e^{0.1}\)

b = 1.11

For the rate of change of this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\), we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is represented by the red line on the graph.

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For the vertical angles, the value of x is found as 5. The measure of the angle ∠QRT = 44° for the two intersecting lines.

For the given pair of angles in the question.

Two lines are intersecting to form two equations are vertical pairs.

∠QRT =  ∠VRS (vertical angles)

Put the values.

8x + 4 = 10x - 6

Simplifying.

2x = 10

x = 5

Put the values of 'x' in the angle.

∠QRT = 8x + 4

∠QRT = 8×5 + 4

∠QRT = 44

Thus, the measure of the angles ∠QRT is found as 44°.

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Answer:

Step-by-step explanation:

(17). g(x) = x³ + 4x

f(x) = 4x + 1

( f × g )( x ) = ( x³ + 4x )( 4x + 1 ) = 4 \(x^{4}\) + x³ + 16x² + 4x

(19). f(t) = 4t - 4

g(t) = t - 2

( 4f + 3g )( t ) = 4(4t - 4) + 3(t - 2) = 16t - 16 + 3t - 6 = 19t - 22

(21). h(t) = t + 3

g(t) = 4t + 1

h(t - 2) + g(t - 2) = ( t - 2 ) + 3 + 4( t - 2 ) + 1 = t + 4t - 2 + 3 - 8 + 1 = 5t - 6

Answer:

The score of class b were better than the scores of class a.

the median for class a was 77.5

the median for class b was 90

therefore class b overall scored better on the quiz than class a

Step-by-step explanation:

hope this helps :)

The solution in the equation is x = 12.

We have,

To solve the logarithmic equation log (x − 2) = 1,

We can use the definition of logarithm which states that log base b of x equals y if and only if b to the power of y equals x, where b is the base of the logarithm.

In this case, the base is not specified, so we assume it is 10, which is the common base used in most calculators and mathematical applications

Using the exponential form, we have:

log (x - 2) = 1

10^1 = x - 2

10 = x - 2

x = 12

Therefore,

The solution is x = 12.

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Answer:

Answer:

10x-3=7x+45 corresponding angle

10x-7x=45+3

3x=48

x=48/3=16

value of x is 16.

Answer:

B. \(4*10^6\)

Step-by-step explanation:

All you have to do is divide the first value by the second value to find the ratio between the two numbers.

The equation would look like this:

\(\frac{9.2*10^8}{2.3*10^2}\) or \(\frac{920000000}{230}\)

Solving this gives you \(4 * 10^6\), or 4000000.

You can also figure this out without a calculator. Simply subtract the smaller power from the larger power to get your exponent.

Since this problem has \(10^8\) and \(10^2\), subtract 2 from 8 to get 6. This will be the exponent in your answer, ruling out answers A and C.

Then, just estimate 9.2/2.3. You can do 9/2 to get 4.5, which is closer to 4. Therefore, D is ruled out, so the answer must be B.

Hope this helps :)

Answer: Carla's suitcase was a better purchase.

Step-by-step explanation: Solution:

Cost Price of Carla's suitcase = $75

Discount% for Carla = 19%

The amount paid by Carla is,

So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

Discount% for Jeana = 20%

The amount paid by Jeana is,

So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Answer:

The area of the trapezoid is 56.25² feet.

Step-by-step explanation:

The formula for the area of a trapezoid is \(A=\frac{b+B}{2} h\)

*Note: Trapezoids have 2 bases that are parallel to one another, but are not always the same length.

Using the information given to us, we can simply plug in numbers into the equation. By doing so, we'd get \(A=\frac{7.9+14.6}{2} 5\). By plugging this into a calculator, you'd get \(A=56.25\).

Answer:

height = 52.5 inches

Step-by-step explanation:

Given information:

h = 3b

area: 35\(in^{2}\)

Formula for area of a triangle: 1/2bh = area

Use given info and formula to solve the problem.

1/2bh = 35

Multiply by 2 on both sides.

bh = 70

As we know h is 3b, substitute them for eachother.

b+3b=70

4b=70

b=17.5

Since h is 3 times b,

h = 52.5

Answer:

B. 346 cm3

Step-by-step explanation:

I took the quiz and got it right.

Answer:

B

Step-by-step explanation:

Answer:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:  The swimming pool holds 59,840 gallons of water.

Step-by-step explanation:

Multiply 7.48 times 8000

Answer:

7-n = y(5)

Step-by-step explanation:

the slope would be 8/1

your welcome

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

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The probabilities and the odds are P(E) = 4/9, P(E) = 1/8 and o(E) = 1 : 7

Probability P(E)

From the question, we have the following notation that can be used in our computation:

Odds, o(E) = 4 : 5

Using the above as a guide, we have the following probability equation

P(E) = 4/(4 + 5)

Evaluate

P(E) = 4/9

Probability P(E)

Here, we have

Odds, o(E) = 7 : 4

Using the above as a guide, we have the following probability equation

P(E) = 7/(7 + 4)

Evaluate

P(E) = 7/11

Odds (E)

Here, we have

P(E) = 1/8

Using the above as a guide, we have the following probability equation

o(E) = P(E) : 1 - P(E)

So, we have

o(E) = 1/8 : 7/8

Evaluate

o(E) = 1 : 7

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