Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x <47)?
A. 0.16
B. 0.025
C. 0.975
D. 0.84

Answer:

It's 6.

Step-by-step explanation:

this was so confusing

Answer: yes

Step-by-step explanation: i just did 450 / 5, 9, and 10

a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Answer:

m= -2n-13

Step-by-step explanation:

1. Subract 1 from both sides

m=-2(n+6)-1

2. Mulitply n+6 by -2

m=-2n-12-1

3. m=-2n-13

Answer:

I will help

Step-by-step explanation:

Answer:

i can help you

Step-by-step explanation:

what do you need done

if angle m∠2 = 120°, then m∠7 is 120°.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Supplementary angles are those angles that sum up to 180 degrees.

Given that  m∠2 = 120°.

We have to find the  m∠7.

m∠2  and m∠4 are supplementary angles.

120+m∠4=180

m∠4=60 degrees.

m∠4 is corresponding angle of m∠8.

m∠8 and m∠7 are again supplementary angles.

60+m∠7=180

m∠7=120 degrees.

Hence, if angle m∠2 = 120°, then m∠7 is 120°.

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Answer:

C

Step-by-step explanation:

\( \frac{ {5}^{8} }{ {5}^{3} } \\ \)

Now you may reduce the fraction

\( = {5}^{5} \)

Answer:

The answer is 6.403

Step-by-step explanation:

Using the pythagorean theorem, a^2+b^2=c^2, we can plug 4 units into a, and 5 units into b. Plugging these into the formula results in 4^2 + 5^2 = c^2. Simplifying, we get 16 + 25 = c^2. Simplifying even more, we get 41 = c^2. Using a calculator to get the square root of both sides results in c = 6.40312424.

Answer: \(x=2\)

Step-by-step explanation:

Let's solve your equation step-by step

\(3(4-2x)=x-2\)

First we need to use the distributive property

\((3)(4)-(3)(2x)=x-2\\-6x+12=x-2\)

Now let's subtract x from both sides

\(-6x+12-x=x-2-x\\-7x+12=-2\)

Next let's subtract 12 from both sides

\(-7x+12-12=-2-12\\-7x=-14\)

Finally divide both sides by -7

\(\frac{-7x}{-7} =\frac{-14}{-7} \\x=2\)

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve

The mean of the distribution of sample mean differences (night GPA - day GPA) is -0.11.

To find the mean of the distribution of sample mean differences (night GPA - day GPA), we can use the formula:

mean of sample mean differences = mean(night GPA) - mean(day GPA)

where the mean of night GPA and mean of day GPA are calculated from the respective samples.

The mean of the night student GPA is given as 2.28, and the mean of the day student GPA is given as 2.39. Therefore:

mean of sample mean differences = 2.28 - 2.39

= -0.11

So the mean of the distribution of sample mean differences is -0.11.

Note that this calculation assumes that the samples are independent and are drawn from normal distributions. It also assumes that the sample sizes are large enough for the central limit theorem to apply.

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Answer:

The fact that a corporation has limited liability means that the owners or shareholders of the corporation are not personally responsible for the debts or obligations of the corporation beyond the amount of their investment. In other words, the liability of the owners or shareholders is limited to the amount of money they have invested in the corporation. This is one of the key advantages of forming a corporation, as it provides a level of protection for the owners or shareholders in the event that the corporation incurs significant debts or is sued for damages.

Answer:

(5, -1)

Step-by-step explanation:

To get the midpoint, You just need to find the average between both X and Y coordinates. In this case, X is (3 + 7) / 2 and Y is (3 + -5) / 2.

Answer:

Step-by-step explanation:

Thank you ☺️☺️

Answer: 10

Step-by-step explanation:

6-5 = 1

-2 x 1 = -2

-2 x -5 = 10

Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

See explanation below

The line starts at 3 and extends towards the positive sides on the right.

The shaded circle indicates it it is greater than or equal to 3.

Answer:

last option is correct

Step-by-step explanation:

Mathematically, we can write the volume of a cone as;

V = 1/3 * pi * r^2 * h

From the question, V is 8 pi cm^3 while h is 6cm

Thus, substituting these values into the equation, we have;

8pi = 1/3 * pi * r^2 * 6

The last option is the correct answer that tallies with the above

Answer:

8 pi = one-third pi (r squared) (6)

its d

Step-by-step explanation:

Answer: A. n - 5/12 + 5/12 = 1/6 + 5/12

Step-by-step explanation:

Add 5/12 to both sides and then simplify

Answer:

A n-5/12 +5/12=1/6+5/12

Answer:

1=x

Step-by-step explanation

Add 14 to both side(because it is opposite)

-6=8x-14

+14       +14

8=8x

Divide both sides by 8

8/8=8x/8

1=1x(or just 1=x)

The answer will be X=1.

0: 3000

5: 500

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Let's start by noting that the ratio of the measures of the three angles in a triangle always adds up to 180 degrees, since the sum of the angles in any triangle is 180 degrees. The measures of the angles in the triangle are 90, 37.5, and 52.5 degrees.

So, we can set up the following equation to represent the given ratio:

12x + 5x + 7x = 180

Here, x represents a constant multiplier that we can use to find the actual measures of the angles.

Simplifying the equation, we get:

24x = 180

Dividing both sides by 24, we get:

x = 7.5

Now that we know x, we can use it to find the actual measures of the angles:

12x = 12(7.5) = 90 degrees

5x = 5(7.5) = 37.5 degrees

7x = 7(7.5) = 52.5 degrees

Therefore, the measures of the angles in the triangle are 90 degrees, 37.5 degrees, and 52.5 degrees, respectively.

Step 1: Understand the given ratio of the angles, which is 12:5:7.

Step 2: Remember that the sum of the angles in a triangle is always 180 degrees.

Step 3: Add the ratio values: 12 + 5 + 7 = 24.

Step 4: Divide the total degrees (180) by the sum of the ratio values (24) to find the value of one unit: 180 ÷ 24 = 7.5 degrees.

Step 5: Multiply the value of one unit (7.5) by each ratio value to find the measures of the angles:
- Angle 1: 12 × 7.5 = 90 degrees
- Angle 2: 5 × 7.5 = 37.5 degrees
- Angle 3: 7 × 7.5 = 52.5 degrees

Answer: The measures of the angles in the triangle are 90, 37.5, and 52.5 degrees.

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Answer:

$47

Step-by-step explanation:

Multiply the quantities of each by the prices, then add it all together to find total spent. Subtract total spent from what he has to spend to find the change:

3 shirts x 17.25 = 51.75

5 jeans x 27.75 = 138.75

Total pent : 62.50 + 51.75 + 138.75 = $253.00

Change : 300 - 253 = $47.00

Answer:

11th term is -45x+56

Answer:

a_11 = -45x + 56

Step-by-step explanation:

An arithmetic sequence has a constant difference which can be found by subtracting a term from the next term.

constant difference = d = -9x + 11 - (-5x + 6)

d = -9x + 11 + 5x - 6

d = -4x + 5

The nth term of an arithmetic sequence is

a_n = a_1 + (n - 1)d

a_11 = a_1 + (11 - 1)(-4x + 5)

a_11 = -5x + 6 + 10(-4x + 5)

a_11 = -5x + 6 - 40x + 50

a_11 = -45x + 56

Answer:

20 pounds

Step-by-step explanation:

To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations. Hence, it will take 20 pounds to make both equal.

Two triangles are similar when they have the same measure for their angles and proportional corresponding sides.

In this case, we have two triangles which have one pair of congruent angles (\(\frac{LK}{ZY}=\frac{56}{7}=8\)Then, the proportions for the other pair of corresponding sides have to be equal to 8.

Then, we can find the other corresponding pairs:

One is the other adyacent side to L, that is LJ, that will correspond to the the other adyacent side of The other pair remaining is the opposite side to

Then, we can write:

Options A and B are not correct, as the proportion written that way should be 8 and not 1/8.

Option C is already given in the picture, so it does not add information.

Option D is correct, because it add a pair of proportional corresponding sides and with another pair of corresponding proportional sides and a pair of congruent angles, is enough information to prove that the triangles are similar.

Answer: Option D (JL/XZ = 8)

Answer:

A

Step-by-step explanation:

The productions possibility curve generally (but not always) shifts to the right due to some technological innovation. The first option is the only one that satisfies this.

Answer:

option C

\( \sqrt{41 } \)

Step-by-step explanation:

^2=^2+^2

^2=5^2+4^2

^2=25+16

^2=41

\( \sqrt{41 } \\ \ \)

The particle moves along an elliptical path, counterclockwise, starting and ending at the point (0, 5).

The given position of the particle is defined by the equations x = 4 sin(t) and y = 5 cos(t), where t varies in the interval 0 ≤ t ≤ 2π. By substituting these equations into the equation of an ellipse, we can determine the path of the particle.

The first scenario describes the motion of the particle as it moves once counterclockwise along the ellipse (4x)² + (5y)² = 1, with the starting and ending point at (0, 5). Since the equation of the ellipse matches the equation for the position of the particle, we can conclude that the particle moves along the ellipse.

The values of x and y are determined by the given equations, which are variations of sine and cosine functions. As t varies from 0 to 2π, the particle completes one full revolution along the ellipse, moving counterclockwise.

The second scenario describes the motion of the particle as it moves once clockwise along the ellipse x²/16 + y²/25 = 1, starting and ending at (0, 5). This time, the particle moves in the opposite direction, clockwise.

The third scenario involves the particle moving along a line, specifically the line x/4 + y/5 = 1. The particle starts at the point (4, 0) and ends at the point (0, 5). This motion represents a linear path from one point to another, as opposed to the circular paths described in the previous scenarios.

The given equations describe the motion of a particle along different paths: counterclockwise and clockwise along elliptical paths, and a linear path along a line. These paths are determined by the values of t and the corresponding equations for x and y.

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