find the inequality represented by the graph​

On average, 50% of athletes are able to begin activity 90 days after a knee operation, with a standard deviation of 15 days.

This means that the median time for 50% of athletes to be able to participate is 75 days, rounded to the nearest day.

The average time for an athlete to begin activity after a knee operation is 90 days, and the standard deviation is 15 days.

Standard deviation is a measure of how spread out the data points are in a data set; a larger standard deviation means that the data points are more spread out.

In this case, 50% of athletes can begin activity within 75 days, which is the median. By rounding to the nearest day, this would be 75 days. Therefore, 50% of athletes are able to participate within 75 days, rounded to the nearest day.

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Answer:

34

Step-by-step explanation:

1)Simplify 5−2 to 3

2+5+6+7×3

2)Simplify 7×3  to 21.

2+5+6+21

3)Simplify 2+5  to 7.

7+6+21

4)Simplify 7+6 to 13.

13+21

5)Simplify.

34

Answer:

I am a cat

Step-by-step explanation:

Meow

He can jog 6.25 miles more in 90 minutes than in 40 minutes.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that Jeffrey can jog 5 miles in 40 minutes.

Assume the relationship is proportional and he jogs at a constant rate.

Let x miles can he jog in 90 minutes

According to the given situation, we can write a ratio as

5 miles : 40 minutes = x miles : 90 minutes

⇒ 5 / 40 = x / 90

Apply the cross-multiplication operation,

⇒ 5 × 90 = x × 40

⇒ 450 = 40x

⇒ 40x = 450

Divided by 40 both sides of the equation,

⇒ x = 450/40

Apply the division operation,

⇒ x = 11.25

Thus, the number of miles can he jog in 90 minutes than in 40 minutes will be : 11.25 - 5 = 6.25 miles

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Answer:

5( 4w -3)

Step-by-step explanation:

just pulled out a 5

Answer:

\(\huge\boxed{\sf 5(4w-3)}\)

Step-by-step explanation:

\(\sf 20w-15\\\\Highest\ Common\ Factor= 5\\\\Take \ 5 \ common\\\\5(4w-3)\\\\This \ is \ the \ required\ factorized \ form\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

Option 4: The subjects in the study are not representative of the population, because some members of the population could not be contacted or refused to answer the survey.

Step-by-step explanation:

Answer:

D) The subjects in the study are not representative of the population, because some members of the population could not be contacted or refused to answer the survey.

Step-by-step explanation:

The force exerted on the beam by support point 2 is approximately 186.4 N.

To solve this problem, we can use the principle of moments. The weight of the bowling ball and the mass of the beam are both forces acting on the beam. We can assume that the beam is in static equilibrium, meaning that the sum of the forces and moments acting on the beam is equal to zero.

First, we can calculate the weight of the bowling ball as 6.5 kg x 9.81 m/s^2 = 63.6 N. This weight acts downward at a distance of 2.7 m from support point 1, so it creates a clockwise moment of 63.6 N x 2.7 m = 171.7 Nm.

Next, we can calculate the moment created by the mass of the beam. We can assume that the mass is evenly distributed along the length of the beam, so the center of mass is at the midpoint of the beam, which is 1.5 m from support point 1. The mass of the beam is given as 18 kg + m kg, so we can write:

(18 kg + m kg) x 9.81 m/s^2 x 1.5 m = (18 kg + m kg) x g x 1.5 m

where g is the acceleration due to gravity (9.81 m/s^2). This moment acts counterclockwise, so it has a negative sign.

Finally, we can write the equation for static equilibrium:

ΣM = 0

where ΣM is the sum of the moments. This gives:

171.7 Nm - (18 kg + m kg) x g x 1.5 m - (m kg) x g x 0.75 m = 0

Solving for m, we get:

m = (171.7 Nm - 18 kg x g x 1.5 m) / (g x 0.75 m)

m ≈ 6.98 kg

Now that we know the mass of the beam, we can calculate the force exerted by support point 2 using the equation for static equilibrium:

ΣF = 0

where ΣF is the sum of the forces. This gives:

F2 - 63.6 N - (18 kg + 6.98 kg) x g = 0

Solving for F2, we get:

F2 ≈ 186.4 N

Therefore, the force exerted on the beam by support point 2 is approximately 186.4 N.

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Answer:

V  =  38.47 in^3

Step-by-step explanation:

The container base radius is half the diameter, that is, 1.75 in, and the height is 12 in.  The formula for the volume of a cylinder of radius r and height h is V = (1/3)(pi)(r)^2h, which in this particular case comes out to:

V = (1/3)(3.14)(1.75 in)^2*(12 in), or

V  =  38.47 in^3

Answer:

115.40 in3

that is the correct answer to this question.

Answer:

yes I can solve it

Step-by-step explanation:

according to mid point theorem

2×13.8=n+6.7

n= 27.6-6.7

n=20.9

Answer:

-2 and 18

Step-by-step explanation:

a + b = 16

ab = -36

a = (16-b)

b(16-b) = -36

16b - b² = -36

-b² + 16b + 36 = 0

b² - 16b - 36 = 0

(b+18)(b-2) = 0

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

18

Step-by-step explanation:

Answer:

Total fine = (7p×15) = 133p

=

Step-by-step explanation:

To be

returned on

28th March

returned on 16th April

fine days = (3 of 16) = 19

Total fine = (7p ×15) = 133p

=

True. The z-values for a standard normal distribution range from -3 to +3, and they cannot take on any values outside of this range.

The standard normal distribution, also known as the Z-distribution, is a special case of the normal distribution with a mean of 0 and a standard deviation of 1. The z-values represent the number of standard deviations an observation is from the mean.

In a standard normal distribution, approximately 99.7% of the data falls within 3 standard deviations from the mean. This means that z-values beyond -3 and +3 are extremely unlikely. Therefore, z-values outside of this range are considered to be rare occurrences.

Hence, it is true that the z-values for a standard normal distribution range from -3 to +3, and they cannot take on any values outside of these limits.

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Answer: 23 spools of thread

Step-by-step explanation:

0.2 times 9 = 1.8 spools of thread

25 - 1.8 = 23.2 spools of thread

Answer:

option c

might not be congruent

Step-by-step explanation:

as the triangles that have three pairs of congruent angles i.e. AAA might not have the sides of the same length.

so, AAA is not a congruence rule or congruent postulate

Answer: .5

hope thisi helps

plz mark brainliset

Step-by-step explanation:

185:370

divide both sides by185

you get the ratio is 1:2

The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

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The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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The distance between N and PS is 3.2.

What is the midpoint of the segment?

Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.

From the below figure,

N is the intersection of the red and blue circles.

I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).

Then the formula for the red circle is:

             (x-2)² + (y-4)² = 4.

The formula for the blue circle is

                  x² + y²- 16 = 0.

Solving for x and y yields intersections

               (0, 4) and (3.2, 2.4),

the first being S and the latter being N.

Hence, the distance between N and PS is 3.2.

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After working 8 hours and grading 9 papers per hour, it is expected Autumn has 11 papers left.

To calculate the number of papers she can grade during this time, let's use the rate provided:

This means in 9 hours she can grade 72 papers.

Now, let's calculate the number of papers left:

Based on this, the total of papers left after working for 8 hours is 11 papers.

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The dimensions of the rectangle are length and width are 6 and 11.6      respectively.

L = 3w - 11 ,

where,

L = length of the rectangle and

W =width of the rectangle

A=LW

Here A is Area of the Rectangle which is product of its dimensions i.e., length and breadth.

LW = 42

substituting for l:-

(3W-11)W= 42

3W^2 - 11W - 42 = 0

(3W + 10)(W - 6) = 0

W = 6 or -10/3  (ignore the negative root)

So the width is 6 and the length is 70/6= 11.6

The rectangle's length and width are therefore 6 and 11.6, respectively.

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The probability that the mean play time in a random sample of 100 songs is less than 240 seconds is 0.0004 (rounded to 4 decimal places).

To calculate the probability that the mean play time in a random sample of 100 songs is less than 240 seconds, we need to know the population mean and standard deviation. Let's assume that the population mean is 250 seconds and the standard deviation is 30 seconds.

Using the central limit theorem, we can assume that the distribution of the sample means follows a normal distribution with a mean of 250 seconds and a standard deviation of 30/√(100) = 3 seconds.

To find the probability that the mean play time in a random sample of 100 songs is less than 240 seconds, we need to standardize the value using the formula:

Z = (X - μ) / (σ / √(n))

where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we get:

Z = (240 - 250) / (3)

Z = -3.33

Using a standard normal distribution table or calculator, we can find the probability of Z being less than -3.33 is approximately 0.0004.

Therefore, the probability that the mean play time in a random sample of 100 songs is less than 240 seconds is 0.0004 (rounded to 4 decimal places).

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=====================================================

Explanation:

We can use the SSS congruence theorem to prove triangle WZX is congruent to triangle YZX. Then that leads to angle WZX = angle YZX.

In short, we've proven that ZX bisects angle WZY. Similarly, segment WY cuts angle XYZ in half. The proof is the same idea as mentioned in the first paragraph. For any rhombus, the diagonals always bisect the angles inside the rhombus.

Also, for any rhombus, the adjacent angles are supplementary.

So,

(angle WZY) + (angle XYZ) = 180

(angle WZY) + (136) = 180

angle WZY = 180 - 136

angle WZY = 44 degrees

Then we cut this in half to get the measure of angle XZY

angle XZY = (angle WZY)/2

angle XZY = (44)/2

angle XZY = 22 degrees

Set this equal to the 10x-8 expression and solve for x.

10x-8 = 22

10x = 22+8

10x = 30

x = 30/10

x = 3

Answer:

96.52 cm

Step-by-step explanation:

Your teacher is incorrect, probably telling you this to avoid you wasting time

Answer:

96.52 cm

Step-by-step explanation:

1 inch is 2.54 cm

so 38 inch will be 2.54*38

96.52 cm

For a rectangle where length of its is five less than the width length, the expression for the area of rectangle is equals to the w(w - 5). So, the option(b) or second is right answer.

Area is defined as the surface covered by the specific shape. The area of a rectangle is calculated by multiplication of length of the rectangle by the width of the rectangle. We have some information regarding the rectangle. Let the Area, length and width of a rectangle shape be 'A', 'l' and 'w'. Now, length of rectangle is 5 less than the width w. So, the expression is written as, l = w - 5 --(1)

Using the formula of area of rectangle, A = length × width

=> A = l× w

Substitute the value of 'l' from equation (1), A = ( w - 5) × w

= w² - 5w

= w( w - 5)

Hence, required expression is w(w -5).

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Complete question:

The attached figure complete the question.

4x you had  0.5x are the y -intercept.

How can you tell whether an exponential function is growing or deteriorating?

You can obviously plot it but if you can also conside that in your function you have 4x

; this tells you that as

x increases (gets bigger) certainly

4x will increase as well (you can consider

4²= 16 and 4³ = 64

). It is true that you have to multiply by

0.5

but nevertheless the entire function will grow anyway!

Graphically:

graph{0.5*(4^x) [-14.24, 14.24, -7.12, 7.12]}

If you want, try to think at the case where instead of having

4x you had  0.5x .

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The increase in utility is more when one more unit of good C is added in the consumption bundle, and thus, Boyd would prefer to consume one more unit of good C.

Based on the given data, we can see that Boyd's utility function is U=100B^0.5C^0.5.

Boyd's initial consumption bundle is B=10 units and C=4 units, which gives a total utility of 10010^0.54^0.5 = 2000.

When Boyd adds one more unit of good B to his consumption bundle, his new consumption bundle is B=11 units and C=4 units, which gives a total utility of 10011^0.54^0.5 = 2200.

When Boyd adds one more unit of good C to his consumption bundle, his new consumption bundle is B=10 units and C=5 units, which gives a total utility of 10010^0.55^0.5 = 2236.

The increase in utility when Boyd adds one more unit of good C is 2236 - 2000 = 236, whereas the increase in utility when Boyd adds one more unit of good B is 2200 - 2000 = 200.]

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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:

1223

Step-by-step explanation:

1925 beacuse it was sunny and measure of energy in food, specifically the measure of heat needed to raise a kilogram or a gram of water by one degree Celsius.

2- From food and drinks, pretty much nutritional stuff you like intake, if that  makes sense. Could do with energy as well though. Hope this helps.  

3- your body needs calories to keep your heart beating and your lungs breathing  

4-there is two types of calories a small Cal and a large calorie also known as a Kilocalorie.

5-the body uses the calories needed and stores the rest for future use

6- You can lose weight by eating healthier and/or working out more.  

Answer:

The percent change in Ryan’s weight was 4.2/7, or 60%. The percent change in Amanda’s weight was 6.9/6 , or 115%. Amanda had a greater percent increase in weight.

Step-by-step explanation: