neil and 3 friends are keeping track of the number of miles they run each week what key should he use to make his pictograph

Answer:

93 cartons

Step-by-step explanation:

January-31

no of cartons-3 × 31=93

where is the question??

On the third day of the camp miles hiked by the tourist as per given data is equal to 41 miles .

As given in the question,

On the first day,

Miles hiked by tourist is 9 miles to the east from camp.

Let x miles be hiked by tourist on the second day to the north.

let h miles be hiked by tourist on third day

Total distance travelled = 90 miles

It represent the right angled triangle

'h' represents the hypotenuse.

By Pythagoras theorem,

h² = x² + 9² ___(1)

x + h + 9 = 90

h = 81 - x  __(2)

Substitute the value h from (2) in (1) we get,

( 81 - x )² = x² + 9²

⇒ 6561 - 162x + x² = x² + 9²

⇒ 162x = 6480

⇒ x = 40

⇒ h = 41 miles

Therefore, on the third day of the camp miles hiked by tourist is equal to 41 miles.

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Step-by-step explanation:

V=1/3 × πr²h

since H=6, R=4

V= π×(4)²×(6)/3

V=96π/3

V=32π

Note: ( we are not given the pie (π) value )

Answer:

Step-by-step explanation:

r = 4

h = 6

pi = 3.14

Formula

V = 1/3 pi r^2 h

V = 1/3 3.14 * 4^2 * 6

V = 1/3 * 3.14 * 16 * 6

V = 100.48

Answer:

m=0.75

Step-by-step explanation:

8m+3=9

8m=9-3

8m=6

m=6/8

m=0.75

The domain of rational function f(x) = (x² - 36) / (x - 6) is x ∈ (- ∞, + ∞).

In this question we must determine what function has a domain, that is, the set of all x-values, that comprises all real numbers. According to algebra, polynomic functions have a domain that comprises all real numbers.

Herein we need to determine what rational function is equivalent to a polynomic function. Polynomic functions are expression of the form:

\(y = \sum\limits_{i = 0}^{n} c_{i}\cdot x^{i}\)

Where:

Now we check the following expression by algebra properties:

f(x) = (x² - 36) / (x - 6)

f(x) = [(x - 6) · (x + 6)] / (x - 6)

f(x) = x + 6

The rational function f(x) = (x² - 36) / (x - 6) is equivalent to polynomial of grade 1 and, thus, its domain comprises all real numbers.

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Answer:

16

Step-by-step explanation:

1+3=4

8-4=4

4x4=16

Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

Answer:set the amount of money merchant A:B:C

=A,B,C

A+B=3870

A+C=5775

B:C =4:9

A=2346

B=1524

C=3429

merchant A earn $2346

semoga membantu

The correct interpretation is b) There is not a significant difference between the sample value and the population.

In the given statement, z = 1.42 and p > .05. The z-value represents the standardized difference between the sample value and the population mean, while the p-value represents the probability of observing a result as extreme as, or more extreme than, the observed result under the null hypothesis (no difference between the sample value and the population mean). A p-value greater than .05 indicates that the difference between the sample value and the population mean is not statistically significant, meaning we cannot reject the null hypothesis.

Based on the provided information (z = 1.42, p > .05), we can conclude that there is not a significant difference between the sample value and the population.

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Answer:

15.2 cm, 130 m

Step-by-step explanation:

1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);

sin(61) = XY/17.4; multiply both sides by 17.4 to find XY

17.4sin(61) = 15.2 cm

2.

This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.

The hypotenuse of the triangle is the 170 m string.

The angle of inclination is 50 degrees.

The height of the triangle will be opposite of the angle of inclination.

Therefore,

sin(50) = height/170 (opposite/hypotenuse)

170sin(50) = 130.2 meters

Answer:

see explanation

Step-by-step explanation:

Any number, positive or negative when squared gives a positive value or zero value, then

(x - 3)² ≥ 0 for all x

ZCAB angle is congruent to ZBAD

The triangles ΔDAB and CAB are congruent and measure of ∠BAD = measure of ∠CAB

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔCAB

Let the second triangle be represented as ΔDAB

Now , the measure of BD = measure of BC ( given )

The measure of side AB = measure of side AB ( reflexive property )

And , the measure of ∠BAD = measure of ∠CAB

So , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Answer:

To calculate the total amount of money you need to pay, you simply need to add up the prices of the instant noodles, can of sardines, and 2 sachets of coffee.

The price of the instant noodles is 7.75 pesos.

The price of the can of sardines is 16.00 pesos.

The price of 2 sachets of coffee is 12.25 pesos.

To find the total amount, you can add these three prices together:

7.75 + 16.00 + 12.25 = 36.00 pesos

So, you need to pay 36.00 pesos in total.

Answer:

B, C, F

Step-by-step explanation:

A polygon is a flat shape with three or more straight sides.

Hope this helps!

Based on the dimensions of a space being 10 feet wide and having an area of 30 square feet, it would be suitable for option 3. Bedroom closet or pantry, or 4. Full or master bathroom. These options typically require smaller spaces compared to options like a living room, bedroom, or whole house. The area of 30 square feet indicates a more confined space, which aligns well with a bedroom closet, pantry, or bathroom.

To determine the suitability of the space based on its dimensions, we consider the area and the typical requirements of different room types.

Living room/"Man cave": A living room typically requires more space than 30 square feet to accommodate furniture, seating arrangements, and entertainment systems.

Therefore, the given space is unlikely to be suitable for a living room or a "man cave."

Bedroom or Office: Bedrooms and offices generally require larger areas to accommodate beds, desks, storage, and other furniture. A 10-foot-wide space with an area of 30 square feet would be too small for a bedroom or office.

Bedroom closet or pantry: A 10-foot-wide space with an area of 30 square feet can be suitable for a bedroom closet or a pantry. These spaces are typically smaller and primarily used for storage purposes, which can be accommodated within the given dimensions.

Full or master bathroom: A 10-foot-wide space with an area of 30 square feet can also be suitable for a full or master bathroom. Bathrooms usually require fixtures like a sink, toilet, and shower/bathtub, which can be accommodated within the given space.

Whole house: A whole house typically consists of multiple rooms, each requiring more space than 30 square feet. Therefore, the given space is not suitable for a whole house.

Based on the analysis, options 3. Bedroom closet or pantry and 4. Full or master bathroom are the most suitable choices for a space that is 10 feet wide with an area of 30 square feet.

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y = x²-2x+1, 2x-y=2 is the system of equations represented by the graph

By examining the graph, you will notice that the straight and the curve meet at (3,4) and (1,0) as indicated. The x values of these points of intersection give the solution of the system. Thus:

We have x = 3 and x = 1

These values can be used to form the equation of the system. Thus:

(x-3)(x-1) = 0         (Clear the parenthesis)

x² -x-3x +3 = 0

x² -4x +3 = 0

Next, we are going to check for the option that gives the x² -4x +3 = 0

Given:  y = x²-2x+1, 2x-y=2

Rewrite 2x-y=2 to be in form y: y =2x-2

We now have  y = x²-2x+1 and  y =2x-2

Equate the two y: x²-2x+1 =2x-2

x²-2x+1 -2x+2 = 0

x²- 4x+ 3 = 0

Since y = x²-2x+1, 2x-y=2 gives the same equation, therefore, the system of equations represented by the graph is y = x²-2x+1, 2x-y=2. So option D is the answer

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The balance after 10 years based on an interest rate of  5.25% will be $461.25.

The interest rate of the account can be calculated by using the formula I = P × R × T, where I is the interest amount, P is the original principal amount, R is the annual interest rate, and T is the time in years.

Using this formula, we can calculate the interest rate as follows:

I = 422 - 401 = 21

P = 401

T = 1

R = I / (P × T) = 21 / (401 × 1) = 0.0525

Therefore, the interest rate of the account is 5.25%.

To calculate the balance after 10 years, we can use the formula A = P(1 + rt), where A is the final amount (balance after 10 years), P is the original principal amount, r is the interest rate, and t is the number of years.

Using this formula, we can calculate the balance after 10 years as follows: A = 401(1 + 0.0525 × 10) = 461.25

Therefore, the balance after 10 years will be $461.25.

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The value of x is 26.5, found using the property of intersecting chords in a circle and the Pythagorean theorem.

To find the value of x, we can use the property that states that if two chords intersect in a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.

In this case, we can draw radii from O to points P and S, and label their lengths as 19. Then, we can label the segments of chords FG and RS as follows:

                     Let a = FG and b = GP

                      Let c = RS and d = SP

Since OP is a radius of the circle, we know that a + b = 19. Similarly, since OS is a radius of the circle, we know that c + d = 19.

Using the property mentioned above, we can write:

                      a * b = c * d

Substituting the given values, we get:

                   25 * (19 - b) = 28 * (19 - d)

Expanding and simplifying, we get:

                      475 - 25b = 532 - 28d

Substituting a + b = 19 and c + d = 19, we get:

                 b = 19 - a and d = 19 - c

Substituting these values, we get:

                 25a - 25(19 - a) = 28c - 28(19 - c)

Simplifying, we get:

                    53a - 475 = 28c - 532

Rearranging, we get:

                       53a - 28c = -57

We also know that a + c = 25 + 28 = 53.

We can solve these two equations simultaneously to find the values of a and c:

                        a = 13.8

                        c = 39.2

Therefore, the length of the segment RS is 39.2, and the length of the segment RP19S is 58.2.

Using the Pythagorean theorem, we can find the length of the segment OP:

                  (OP)²= (RP19S)² - (19)²

                  (OP)² = (58.2)² - (19)²

                  (OP)² = 3136.24

                        OP = 56

Finally, we can find x using the fact that the chords FG and RS are parallel:

                           x = (1/2) * (FG + RS)

                           x = (1/2) * (25 + 28)

                           x = 26.5 (rounded to the nearest tenth)

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To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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According to the question ,The probability that among 8 randomly selected graduates, at least one does not find a job in their chosen field within a year of graduating is 0.570

We are Given in the question that:

P = 0.1

q = 1-p

= 0.9

n = 8

Using binomial distribution P(n) = ⁿCₓ.pˣ.qⁿ⁻ˣ

We are Required to prove that  F(x ≥ 1) = P(1) + ... + P(8)

= 8C₁(.1)¹(.9)²+...+8C₈(.1)⁸(.9)°

= 0.5695 ≈ 0.570

Hence the probability is 0.570

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Answer:

x={3,-7}

Step-by-step explanation:

brackets for list

Solve with quadratic formula

separate the solutions

Square

Answer:

2 for the first box and 25 for the second one.

Step-by-step explanation:

The total number of smoothies that Autumn can make with the yoghurt is 165.

We know that the total number of cups of yoghurt that Autumn needs to make smoothies is 55. Each smoothie uses 1/3 cup of yogurt. We need to calculate the total number of smoothies that Autumn can make with the yogurt.

Let the total number of smoothies be represented by the variable "N''. We will use the unitary method. The total number of smoothies that can be made is the ratio of the total number of cups of yoghurt to the fraction of a cup used to make one smoothie.

N = 55/(1/3)

N = 55*3

N = 165

Hence, Autumn can make 165 smoothies from 55 cups of yogurt.

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The expression for h is h = 2 × √(99)

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

An expression is a combination of numbers, variables, and operations that can be evaluated to produce a value. Expressions can be as simple as a single variable, such as x, or complex, involving multiple variables, constants, and functions.

According to the given information:

We can use the Pythagorean theorem to relate the slant height, the radius, and the height of a cone:

s² = r² + h²

Since s = 5r and r = 4, we have:

s = 5r = 5(4) = 20

Plugging this into the equation above, we get:

20² = 4² + h²

Simplifying and solving for h, we have:

h² = 20² - 4² = 396

h = √(396) = √(4 × 99) = 2 ×√(99)

Therefore, the expression for h is h = 2 × √(99) when r = 4 and s = 5r.

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The area of polygon mnopqr is 39 square units.

To find the area of polygon mnopqr, we need to find the area of the rectangle and the two triangles, and then add them up.

First, let's find the area of the rectangle. We can use the formula:

area = length x width

From the diagram, we can see that the length of the rectangle is 6 units and the width is 4 units.

area of rectangle = 6 x 4 = 24 square units

Next, let's find the area of the two triangles. We can use the formula:

area = (base x height) / 2

Triangle mno has a base of 6 units and a height of 3 units.

area of triangle mno = (6 x 3) / 2 = 9 square units

Triangle pqr has a base of 6 units and a height of 2 units.

area of triangle pqr = (6 x 2) / 2 = 6 square units

Now, we can add up the areas of the rectangle and the two triangles:

area of polygon mnopqr = 24 + 9 + 6 = 39 square units

Therefore, the area of polygon mnopqr is 39 square units.

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The slope for lot size is not different from 0.

We will let the slope of the size be β

So the hypothesis can be:  β = 0  (Null Hypothesis)  ,  β≠ 0 (Alternate Hypothesis)

If we consider a confidence level (the probability for which we can be confident that the null hypothesis is true) to be 95% (Probability = 0.95) then the level for which we are not confident that the null hypothesis is true will be (100 - 95)% = 5% (Probability = 0.05)

Thus, for this coefficient the P value is 0.5782.

As the p-value is more than the Probability for which we are not confident (0.05), so in this regard we can state then there is no such significance difference seen in this regard. Thus, we accept the null hypothesis here. This means that we can take the coefficient to be 0.

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Answer:

The elimination method is often preferred over graphing because it is much _________.  

Step-by-step explanation:

In elimination, you must multiply one or both equations (if necessary) by a constant to have coefficients of one variable that are opposites. Then, you can add the equations to eliminate one of the variables and solve for the remaining variable.

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So the largest possible probability that either A or B occurs is 0.5952 or 59.52%.

The union rule of probability states that the probability of either event A or B occurring is equal to the sum of their individual probabilities minus the probability of both A and B occurring at the same time. In this case, A represents the event of a person having type O blood, and B represents the event of a person having type AB blood.

Since A and B are mutually exclusive events (a person cannot have both type O and type AB blood at the same time), we can simply add their individual probabilities to find the probability of either event occurring. The probability of a person having type O blood is given as 0.54, and the probability of a person having type AB blood is given as 0.12.

However, we also need to consider the possibility of both events occurring simultaneously, which is the probability of the intersection of events A and B. Since A and B are independent events, we can multiply their individual probabilities to get the probability of both events occurring at the same time, which is 0.54 x 0.12 = 0.0648.

Therefore, the largest possible probability that either A or B occurs is given by the union rule of probability as P(A or B) = P(A) + P(B) - P(A and B) = 0.54 + 0.12 - 0.0648 = 0.5952.

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