in a large population of adults the mean iq is 112 with a standard deviation of 20. what is the probabilty of selecting 30 adults that have an average iq score of 114.5 or more

Answer:

8. the line the vertical

9. y=3/4x-10

Step-by-step explanation:

For number nine, you must find b with the information given if you were to use slope intercept form.

4= 3/4(-8)+b

4= -6+b

-10=6

Now, just plug this number back into the equation.

y= 3/4x-10

Answer: -25

Step-by-step explanation:

The required integer that shows that 25 feet below the sea level is -25.

Given that,
To determine the in integer that represents 25 feet below sea level.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The sea level is set to equal to 0,
Now height above the seal level comprises of positive sign, and the height below the sea level comprises of negative sign.
So, for  25 feet below sea level,
-25 is the required integer that represents the  25 feet below sea level.

Thus, the required integer that shows that 25 feet below sea level is -25.

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Answer:

a. Perimeter=40yds Area=77 square yds

b. Perimeter=60 yds Area=150 square yds

Step-by-step explanation:

Answer:

x = 68

Step-by-step explanation:

If you look at the triangle properly, it is a isosceles triangle where two legs are equal to each other.

The answer for x will be:

56 + 56 + x =180

112 + x = 180

x = 68

The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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Sorry that took so long......

Messed up on the last part!

Have a great day!!!!!

Answer:

  100°

Step-by-step explanation:

You have two supplementary angles in the ratio 7:2, and you want the measure of their positive difference.

The sum of supplementary angles is 180°. The sum of the ratio units in the ratio 7:2 is 7+2 = 9, so each ratio unit must stand for 180°/9 = 20°.

The difference in ratio units is 7 -2 = 5, so the difference in the angles will be 5·20° = 100°.

The measure of their difference is 100°.

__

Additional comment

The two angles are 7·20° = 140°, and 2·20° = 40°. The difference is 140° -40° = 100°.

Answer:

$292.74 :)

Step-by-step explenation

i searchd it

Answer:

19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.

so,median=9ft

Answer:

The approximate solution to the system is (1.2, 4.4)

x = 1.2 and y = 4.4

Step-by-step explanation:

The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation  = 4.9x – 1.64.

The solution of the system of equations is their point of intersection shown on the graph.

The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.

So the approximate solution to the system is (1.2, 4.4)

The 4 3/10 tons of fertilizer will the farmer have left for his other crops.

According to the given question.

Quantity of total fertilizer the farmer have = 13 2/5tons

And, the quantity of fertilizer which is needed by farmer = 9 1/10tons

Since, the quantities are given in mixed fraction.

So, the above quantities can be written as

13 2/5 = 67/5

And, 9 1/10 = 91/10

Therefore,

The quantity of fertilizer will left for the other crops of farmer

= 67/5 - 91/10

= (2(67) - 91)/10

= 134 - 91/10

= 43/10

= 4 3/10tons

Hence, the 4 3/10 tons of fertilizer will the farmer have left for his other crops.

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Answer:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Step-by-step explanation:

So, we need to write two equations in order to solve this:

We will think of 28 dollar tickets as x, 40 dollar tickets as y.

Now lets make those equations:

\(x + y = 6,000\)

             and

\(28x+40y = 193,200\)

Now, to solve for x and y, lets set a value for x or y. In this case I will set the value of y:

I will do this by taking \(x + y = 6,000\), and subtracting x to the other side, to get y alone:

\(y = 6,000 - x\)

Now lets plug in y to our second equation:

\(28x + 40(6,000-x) = 193,2000\)

=

\(28x+240,000-40x = 193,200\)

Now combining like terms and solving for x we get:

\(-12x + 240,000 = 193,200\)

=

\(-12x = -46,800\)

=

\(x=3,900\)

Now that we know x, lets solve for y by plugging into our first equation!

\(3,900 + y = 6,000\)

=

\(y = 2,100\)

So now we know that our answer is:

2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!

Hope this helps! :3

Answer:

I hope this is the answer

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

Answer:

Rational

Step-by-step explanation:

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

Step-by-step explanation:

The general equation is

y = 2.49x + 24.99

The number of cones bought is x

The cake cost is 24.99

The total cost is y

===========

So the meaning of (5,37.44) is that she bought 5 cones and 1 cake. Let's just check that out.

Check

y = 2.49*5 + 24.99

y = 12.45 + 24.99

y = 37.44

So the total cost (y) of 5 cones (2.49 each) and 1 cake ($24.99) is 37.44

Answer:

the answer I got was 12.5 cm

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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Answer:

Step-by-step explanation:

4) Corresponding part of congruent figures are congruent.

ΔABC ≅ ΔDEF

∠B = ∠E

∠B = 93°

∠F = ∠C = 73°

AC = DF = 7.6 cm

DE = AB =  5.4 cm

5)∠M = ∠A = 112

∠C  =∠O = 81

OP = CD

AD = MP

c) You travel about 50 miles per hour.

d) You were 15 miles from home when you started.

e) After 7 hours, you will be 365 miles away from home.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

When x = 0, y = 15, hence the intercept b is given as follows:

b = 15.

In six hours, the distance increased by 300 miles, hence the slope m is given as follows:

m = 300/6 = 50.

Hence the equation is:

y = 50x + 15.

After seven hours, the predicted distance is given as follows:

y = 50(7) + 15 = 365 miles.

The points on the line are:

(0,15) and (6, 315).

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A person having Tetrachronacy or the Fourth type of cone will be able to see more colors outside the conventional visible spectrum.

Recently, it has been found that some individuals possess a fourth form of the cone in addition to the three that the majority of people with normal color vision do.

When a person has tetrachromacy, their retina has four cone types instead of the typical three that most people do. It is caused by a hereditary mutation and only affects women.

In the retina, cones are a particular kind of photoreceptor cell. They enable us to see in color. We can see fine details because of the macula, the area of our retina where cones are concentrated. The retina has about 6 million cones and 120 million rods. A photopigment in the fourth type of cone found in tetrachromats enables them to perceive more colors outside of the conventional visible spectrum. ROY G. BIV is a better-known name for the spectrum (Red, Orange, Yellow, Green, Blue, Indigo, and Violet).

Cone cells come in three different subtypes:

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Answer:

m<CDE = 50°

Step-by-step explanation:

Recall: when an angle is formed outside a circle by two tangents, the angle formed = ½(the difference between the measures of the intercepted arcs), based on the outside angles theorem.

This implies that:

m<CDE = ½(Arc CBE - Arc CE)

Arc CE = 130°

Arc CBE = 360° - 130° = 230°

Plug in the values

m<CDE = ½(230 - 130)

m<CDE = ½(100)

m<CDE = 50°

The measure of angle m<CDE is 50 degrees

From the diagram shown, the angle at the vertex is equal to half the difference of the angles at the intercepted arc.

Given

m<CDE = 1/2(230-130)

m<CDE = 1/2(100)

m<CD = 50 degrees

Hence the measure of angle m<CDE is 50 degrees

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The minimum pay of the top 10% of workers would be approximately $20.99 per hour.

To calculate the minimum pay of the top 10% of workers, we need to find the cutoff point or threshold value where only 10% of the workers earn more than that amount. We can use the concept of z-scores and the standard normal distribution to calculate this threshold.

First, we need to find the z-score corresponding to the top 10% of the distribution. We can do this using a standard normal distribution table or a statistical calculator. The z-score that corresponds to the top 10% is approximately 1.28.

Next, we can use the formula for z-score to find the raw score (x) corresponding to this z-score:

z = (x - μ) / σ

Where:

z = z-score

x = raw score (the minimum pay we want to find)

μ = mean (average wage)

σ = standard deviation

Rearranging the formula to solve for x:

x = z * σ + μ

Plugging in the values:

x = 1.28 * $2.45 + $17.85

Calculating the expression:

x ≈ $3.136 + $17.85

Rounding the result to the nearest cent:

x ≈ $20.99

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The recursive formula for our sequence is the one in the first option.

aₙ = aₙ₋₁ + 6

With a₁ = 7

Here we have the following sequence:

7, 13, 19, 25, ...

This one seems to be an arithmetic sequence, to check this, let's take the difference between consecutive terms:

13 - 7 = 6

19 - 13 = 6

25 - 19 = 6

This means that the recursive formula for our sequence is "add 6 to the previous term" or:

aₙ = aₙ₋₁ + 6

With a₁ = 7

so the correct option is the first one.

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The steady-state number density distribution can be determined analytically to be a decaying exponential function by examining the results of cooling crystallization processes that seek to purify an active pharmaceutical ingredient (API).

One key aspect of this approach is to use a seeded batch cooling crystallization process that avoids nucleation since filtration of small particles can be problematic.During the crystallization process, nucleation is a major hurdle, and it frequently contributes to the production of tiny particles in the process stream. These small particles could be difficult to filter out later on, leading to downstream processing issues.

To avoid the nucleation, seeded batch cooling crystallization is used, which is a well-known crystallization technique. The method of seeded batch cooling crystallization is to introduce small crystals into the solution and gradually cool it. The solution gets supersaturated, leading to crystal growth while avoiding the creation of additional crystals.

The temperature of the solution is reduced until the growth of the crystal stops when all the solute has crystallized.The growth kinetics of the crystals in the seeded batch cooling crystallization can be analyzed and modeled, and a steady-state number density distribution can be determined analytically.

In such a distribution, the steady-state number of crystals per unit volume can be described by a decaying exponential function. Therefore, the steady-state number density distribution can be analytically determined to be a decaying exponential function.

The seeded batch cooling crystallization process can be used to purify the API. Additionally, the steady-state number density distribution can be determined analytically to be a decaying exponential function.

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Answer:

The answer is 43.52 you're welcome

Answer:

by using calculator

-16/5

The algebraic expression for 10 more than a number is x + 10 or 10 + x.

The x in the expression is called a variable, which can be represented by any letter in the alphabet.

An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change.

Some basic mathematical operators are +, -, x and /.

The given phrase states that a result can be obtained by adding 10 more to the variable.

The variable x can be replaced by any number.

If x equals 2, then the expression x + 10 has a value of 12.

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