IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the proportion of the population for the following IQ score. For your answer, convert each proportion into a percentage whose value is computed to 2 decimal places. Sketch a distribution to help you visualize the problem. IQ score greater than 135

Answer:

2 minutes

Step-by-step explanation:

The front of the train enters the tunnel and travels 1 km before the rear of the train enters the tunnel.  Thus, the total distance traveled by the front of the train is 2 km, and this is covered in a certain number of hours:

Since distance = rate times time, time = distance / rate.  In this particular case we have:

                                              2 km

time = distance / rate = ------------------- = (1/30) hr

                                           60 km/hr

(1/30) hr converts to 2 minutes, since 1 hr = 60 minutes

Answer:

C

Step-by-step explanation:

It is C because the 2 is attached to the variable Y

Lets check if the three conditions hold.

1 : Continuity of g on the interval [0,2]

First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]

2 : Differentiable on the same interval

Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]

Also we have g'(x) = 2*3*x² - 3 = 6x² - 3

3 : Do we have g(0) = g(2) ?

Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1

And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11

Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0

On solving the provided question, we can say that Therefore, you would need multiply  approximately 27.84 pounds of food each day for your horse.

One of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."

First, we need to convert the weight of the horse from kilograms to pounds, so:

678 kg x 2.20462 lbs/kg = 1495.69 lbs

Next, we need to calculate how many Mcal the horse needs per day:

0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day

Then, we can convert the Mcal to kcal:

22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day

Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:

22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day

Therefore, you would need approximately 27.84 pounds of food each day for your horse.

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Answer:

Step-by-step explanation:

$21.75/(3 crabs) = $7.25/crab

The percentage of NFL players retire at a younger age is A ) 0.62 % and the age is C ) 34.8 years .

Given :

The retirement age for NFL players follows a normal distribution with a mean of 33 years and a standard deviation of 2 years. A player gets injured and decided to retire at 28 years old.

percentage of NFL players retire at a younger age is :

P ( X < 28 ) = P ( x - μ / σ < 28 - 33 / 2 )

= P ( z < -5 / 2 )

= P ( z < -2.5 )

we know that at z score using calculator we can know the probability :

= 0.0062

= 0.0062 * 100%

= 0.62%

The age would he be if he played longer than 90% of all players is B ) 34.8 years old .

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Answer:

For Question 19 the answer is A (the first answer)

For question 34 the answer is C (the third one) but for that I am not 100% you can search that one up

For question 20 the answer is A (the first answer)

Answer:

Below

Step-by-step explanation:

● |y+2| > 6

● y+2 > 6 or y+2 < -6

Add -2 in both sides in the two inequality.

● y+2-2 > 6-2 or y+2-2 < -6-2

● y > 4 or y< -8

Answer:

\(15-4\sqrt{15}\)

Step-by-step explanation:

\(\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}\)

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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As a result, AG = NI according to the ASA congruency, where p is the midpoint between AN and AG=NI.

Given that it has three sides and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon because it has three sides and three corners. The points at which the three sides of the triangle converge are referred to as its corners. Three triangle angles can be multiplied to get 180 degrees.

given

p is the midpoint of GI

GP = PI , PN = AP ( as mid point )

∠APG = ∠IPN ( as vertical opp. angle )

∠A = ∠N ( given )

so by ASA congruency ΔAPG = ΔIPN

As a result, AG = NI according to the ASA congruency, where p is the midpoint between AN and AG=NI.

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The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

Answer: 200 miles

Step-by-step explanation: First divide 150 by 3 = 50, then multiply by 4 = 200 miles.

You can drive 200 miles with one tank of gas.

3/4 of a tank ---> 150 miles

1 full tank ---> x amount of miles

x = (1 full tank * 150 miles) / 3/4 of a tank

x = (1 * 150) / 3/4=  200 miles.

Check the attached image to better understand how a rule of 3 is solved. Beware that this procedure only applied when there is direct proportionality between the variables.

You can drive 200 miles with one tank of gas.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

ratio of water and milk=2:3

i.e. water=2

milk=3

now adding 1 liter of water in 2

2+1=3

and 1 liter of milk in 3

3+1=4

hence,

the new ratio is 3:4

Step-by-step explanation:

i hope this will help

plz mark as brainliest

The value of \(\displaystyle\sf (-1+\sqrt{-3})^{33}+(-1-\sqrt{-3})^{33}\) is approximately -2.

If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years.  the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total  $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

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complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

Answer:

247

Step-by-step explanation:

divides 2964 entre 12 y obtienes 247

Answer:

angle AOD measures 81 degrees.

To find compound angles, simply add the said angles together

e.g Angle COA is angle COB + BOA

Step-by-step explanation:

Answer:

The third answer

Step-by-step explanation:

COD makes a very wide obtuse angle.

9514 1404 393

Answer:

  $60

Step-by-step explanation:

The total she started with is the sum of the amount she spent and the amount remaining:

  $25.80 +$9.25 +$18.85 +$6.10 = $60.00

Ashley brought $60.00 to the mall.

Answer:

The Total money she bring to mall is $ 60.

Step-by-step explanation:

Given that :-

After a shopping trip to the mall. Ashley saw $6.10 in her purse she spent $ 25.80 on a pair of shoes, 59.25 on a necklace, and $18.85 on a belt.

To find :-

How much money did Ashley bring to the mall ?

Solution :-

Total money she bring to the mall = sum of amount she spend and amount remaining.

Total money = $ 25.80 + $ 59.25 + $ 18.85 + $6.10

Hence, The total money she bring to mall is $ 60.00.

The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:

−0.4x − 3.1 = 5.9

−0.4x − 3.1 + 3.1 = 5.9 + 3.1

-0.4x = 9

-0.4x/-0.4 = 9/-0.4

x = -22.5

Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

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Answer:

Step-by-step explanation:

\(5n \ge 60 \rightarrow n \ge 12\)       (divided each side by 5)

0:  F    

12: T

15: T

64: T

only one sol: F

Reflect over the x axis, then translate 2 units to the left

To determine the transformationthat occured fromPQR to P'Q'R', we will use the coordinates of each letter and compare

P = (1, 1), Q = (2, 1) and R = (2, 3)

P' = (-1, -1), Q' = (0, -1) and R' = (0, -3)

We can see the y axis of P, Q, and R were negated to obtain the y axis of P', Q' and R.

The translation that occurred on the x coordinates:

From the above, 2 units was subtracted from the x coordinate of PQR to obtain the x coordinate of P'Q'R'.

Subtraction indicate movement is to the left

After the reflection over the x axis, there is a translation of 2 units to the left

ANSWER

h = 16 in

EXPLANATION

We can solve this using the law of sines:

In this case, the relation is:

WIth the first two ratios we have:

We can find that angles I and J are equal:

Therefore, they measures - because the interior angles of a triangle add up 180º- are:

Now, using the law of sines, we can find h:

Rounded to the nearest inch, h = 16 in

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

Figure 7 will have 98 tiles.

Explanation:

Figure 1 : 2 tiles

Figure 2 : 8 tiles

Figure 3 : 18 tiles

Figure 4 : 32 tiles

It is a quadratic function.

Equation: 2x²

To reach 98 tiles:

2x² = 98

x² = 49

x = √49

x = 7