The scores on a real estate licensing examination given in a particular state are normally distributed with a standard deviation of 70. What is the mean test score if 25% of the applicants scored above 475?

Answer:

rise= -2 run= -4 slope= -1/2

Step-by-step explanation:

slope= rise/run

since rise=-2 and run=-4, slope=-2/4, but we have to simplify, so slope=-1/2

Answer:

\( \sqrt{ { (- 3 - 2)}^{2} + {(1 - ( - 1))}^{2} } \)

\( \sqrt{ {( - 5)}^{2} + {2}^{2} } \)

\( \sqrt{25 + 4} = \sqrt{29} \)

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

$39.60

Step-by-step explanation:

10% of 36 is 3.6

36 + 3.6 = 39.6

Answer:

98 = 2x + 2(22)

Step-by-step explanation:

Let x be the length of the room. Using P = 21 + 2w or the formula for the perimeter of a rectangle, with the perimeter equal to 98 and the width equal to 22, then

98 = 2x + 2(22)

Consider the general term,

Substitute 0, 1, 2, 3 to get the first 4 terms of the series,

Consider that the difference between any two successive terms is constant at 6.

So this series will definitely form an arithmetic sequence.

So, it is a YES for the first box.

As already calculated the terms corresponding to n=0 is 2.

So the first term is 2.

Also the common difference is calculated by subtracting any term from its succeeding term,

Thus the common difference is 6.

The maximum number of individual areas that may be created from the plot and have dimensions larger than 1 m each is 216.

A dimension in mathematics is the lengths or breadth of a region, area, or space as seen from a single angle. It only comprises its length, width, and height of an item. A typical approach to describe dimensions is by length. Height, depth, and other dimensions represent example of dimensions. The dimensions of a line, a square, and a cube are all one, two, and three dimensions, respectively (3D).

ab > 1

So, a = 1

b = 2

Number is 27/1 * 16/2

= 27 * 8

= 216

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The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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Answer:

B) (-2,6)

Step-by-step explanation:

Where do the two lines intersect? That is where the solution is.

Hope this helps

Answer:

I believe the answer B ( I think)

Answer:

9

Step-by-step explanation:

1. Just input the x value with -180:

24 (+) -180 / 12 = answer

2. Follow PEMDAS to solve, which in this case division comes before addition:

24 + (-180 / 12)

24 + (-15)

3. Addition

24 + (-15) or 24 - 15

= 9

Therefore, 24 (+) -180 / 12 equals 9.

Answer: y = 3x -4

Step-by-step explanation:

the slope is 6/2 or 3 and y when x is 0 is -4. Hope this helps!

Answer:

\(\boxed{y = 3x - 4}\)

Step-by-step explanation:

Hey there!

Well let's start with slope,

The slope is 3x because the rise is 3 and the run is 1 so the slope is 3x.

Slope = 3

Now the y intercept is -4 because that's where the line touches the y axis.

Equation: y = 3x - 4

Hope this helps :)

In a triangle with side lengths a, b, and c, and corresponding angles A, B, and C, we are given the value of c (209), angle A (79°), and angle B (47°). We need to find the length of side b.

To find side b, we can use the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle. Applying the Law of Sines, we have: b/sin(B) = c/sin(C). Substituting the given values, we get: b/sin(47°) = 209/sin(180° - 79° - 47°). Simplifying and solving for b, we find the length of side b.

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Answer:

y = 3x + 7

Step-by-step explanation:

When lines are parallel, the slope is the same but the y-intercept is not

The blue line is the graph for y = 3x + 2

The slope for the line is 3/1

So the slope for the line containing (-2,1) should be 3/1

I plotted (-2,1) and used the Rise/Sun (3/1) to find a point on the y-axis, the teal point.

I graphed the line in yellow

In y=mx + b, b = 7, and mx = 3x

So the equation is y = 3x + 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

rational

Step-by-step explanation:

the square root of 196 is 14 (  whole number) therefor it is rational

Answer:

Step-by-step explanation:

40 por ciento

The probability is 7/72 that each of the final three rolls is at least as large as the roll preceding it.

Let \(N_{i}\) represent the number appearing on die when die is rolled ith time,

i=1,2,3,4

Given that \(N_{1}\)≤\(N_{2}\)≤\(N_{3}\)≤\(N_{4}\)

Each time when a die is rolled, six options are there.

Let we have four equal sets

{1,2,3,4,5,6}, now we have to select four numbers such that, exactly one number is selected from each set

Case 1: All four are same

Number of ways:⁶C₁ =6

Case 2: Three are same but one is different

Number of ways: ⁶C₁ ⁵C₁ =30

Case 3: Two are same of one kind and two are same of second kind

Number of ways: \(\frac{1}{2}\) ⁶C₁ ⁵C₁=15

Case 4: Two are same and two are different

Number of ways: ⁶C₁ ⁵C₂=60

Case 5: All four are different

Number of ways: ⁶C₄=15

Required probability:

=\(\frac{6+30+5+60+15}{6*6*6*6}\)

=\(\frac{126}{36*36}\)

=\(\frac{72}{7}\)

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Answer:

29.5 or 30 if rounded

Step-by-step explanation:

Add all of the numbers then divide by how many there is 30

886 divide by 30

= 29.5

Hope this helps!!!

The phrase that represents the expression negative 8n is

The situation that can be represented by the expression x plus negative 3?

negative 8n is same as -8n = -8 * n

the expression that says this is option c

x plus negative 3

this is written in equation as x + -3

= x - 3

negative three implies a drop of 3 or taking away 3

Hence option A B and D is the correct choice

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Answer:

\(\huge\boxed{V=44cm^3}\)

Step-by-step explanation:

(look at the picture)

The formula of a volume of a rectangular prism a × b × c:

\(V=abc\)

We have two rectangular prisms.

\(1:\ 2cm\times2cm\times5cm\\2:\ 2cm\times2cm\times6cm\)

Calculate the volume:

\(V_1=2\cdot2\cdot5=20(cm^3)\\\\V_2=2\cdot2\cdot6=24(cm^3)\)

The volume of the irregular figure:

\(V_F=V_1+V_2\\\\V_F=20cm^3+24cm^3=44cm^3\)

Answer:

2 hours and 22 minutes

Step-by-step explanation:

Rate x Time = jobs

Mr. Comb's rate is 1 field in 5 hours or 1/5.

Mr. Ramset's rate is 1 fiend in 4.5 hours.

If we take the time and rate that it takes Mr. Comb's to mow one field and add it to the time and rate that it takes Mr. Ramset's to move one field  we can find out how long it takes them to mow one field together

RT + RT = 1 (job)

1/5T + 1/4.5T = 1  We need a common denominator.  I just multiplied 5 x 4.5  for get 22.5  Rewrite 1/5 and 1/4.5 with a common denominator or 22.5 we get the equivalent fractions that we can add together.

4.5/ 22.5T + 5/22.5T = 1  Add the fractions together

9.5/22.5T = 1  We want to solve for T, so we will multiply both sides of the equation by 22.5/9.5

9.5/22.5(22.5/9.5)T= 1 22.5/9.5

T = 22.5/9.5  When I divide these, I get 2 35/95 hours.  I need to change the fraction part of an hour to minutes.  I will use the unit multiplies 60 minutes/ 1 hour.

35hours/95 (60 minutes/1 Hour) = 22.10526331579.  I need to round this to the nearest minutes which will be 22 minutes.

Answer:

Gabriel spent $12 in just Donuts. If fritters are $2 a piece, he could buy 2 fritters at max. Perhaps he bought an extra donut to equal $17.

Step-by-step explanation:

Answer:

7 donuts and 5 fritters

Step-by-step explanation:

Answer:

The probability that a Dutch male is between 173.5 and 191.5 cm is 0.616

or 61.6%

Step-by-step explanation:

Mean = M = 182.5

Standard Deviation = S = 10.3,

We need to find the z values and then calculate the probabilities,

Probability of being lower than 173.5,

P(X < 173.5),

Finding the z value,

z = (x - M)/S

z = (173.5 - 182.5)/10.3

z = -0.87

Then the corresponding value for the area and hence the probability is,

P(X<173.5) = P(z = -0.87) = 0.1922

P(X < 173.5) = 0.1922

Probability of being lower than 191.5,

P(X<191.5)

Finding the z value,

z =(x-M)/S

z = (191.5 - 182.5)/10.3

z = 0.87

Then the corresponding value for the probability is,

P(X < 191.5) = 0.8078

The probability that a Dutch male is between 173.5 and 191.5 cm is,

P(173.5 < X < 191.5) = P(X < 191.5) - P(X < 173.5)

P(173.5 < X < 191.5) = 0.8078 - 0.1922

P(173.5 < X < 191.5) = 0.6156

To 3 decimal places,

P(173.5 < X < 191.5) = 0.616

P(173.5 < X < 191.5) = 61.6%

Answer:

1.2x + 0.8y = 2.4

x = 5/3

y = 0.5

(please give brain if this helps or is correct)

Step-by-step explanation:

to solve an equation with 2 missing variable we must simplify then solve the equation

step 1: simplify the equation

ex: 1.2x + 0.8y = 2.4   (0.8y = -1.2x + 2.4)

step 2: divide all numbers by 0.8

ex: 0.8y/0.8 = -1.2x/0.8 + 2.4/0.8   (y = -1.5x + 3)

step 3: subtract 3 from both sides of the equation

ex: y - 3 = -1.5x + 3 - 3   (-3y = -1.5x)

step 4: divide both sides of the equation by -3

ex: -3y/-3 = -1.5x/-3   (y = 0.5)

step 5: plug in 0.5 into y then solve the original equation to find x

ex: 1.2x + 0.8(0.5) = 2.4

step 6: multiply 0.8 by 0.5

ex: 1.2x + 0.8(0.5) = 2.4   (1.2x + 0.4 = 2.4)

step 7: subtract 0.4 from each side of the equation

ex: 1.2x + 0.4 - 0.4 = 2.4 - 0.4   (1.2x = 2.0) or (1.2x = 2)

step 8: divide 1.2 from each side of the equation

ex: 1.2x/1.2 = 2/1.2   (x = 5/3)

step 9: input 5/3 into x and keep 0.5 as y then solve to check your answer

ex: 1.2(5/3) + 0.8(0.5) = 2.4

2 + 0.4 = 2.4

2.4 = 2.4 (if both sides of the equation have the same answer like 2.4 = 2.4 then you answer is true)

The is used as a measure of to overcome the range is influenced too much by .

?

are then selected as 3 points such that

they create four groups in the data, each groups approximately possessing 25% of the data.

(inter quartile range) is defined as the between third and first quartile.

Since, range is used as a measure of to overcome the difficult of the range.

The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.

Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by

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The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.

The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.

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32 can be written as product of factors 4 × 8 and 2 × 16

The factor of a number is a number that divides the given number completely without any remainder. The factors of a number can be positive or negative.

Given number

32

factoring 32

32 = 2 × 2 × 2 × 2 × 2

32 = 4 × 8

32 = 2 × 16

Hence, product of factors 4 × 8 and 2 × 16 is 32.

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Answer:

0 to 5

Step-by-step explanation:

i took it on edg

Answer:

I know it was 0 to 5 but I didn't get to this question fast enough so it look's like I copied it.