2. Grafiquen un triángulo cualquiera y marquen sus ángulos exteriores con color.
a) A continuación grafiquen esos ángulos de forma tal que queden consecutivos.
b) ¿A qué es igual la suma de los tres ángulos exteriores?
c) Enuncien la propiedad.

Answer:

the two variables are meters and seconds,. meters are graphed on the y- axis, seconds is the independent variable....2,4,5

Answer:

right answer lol

Step-by-step explanation:

In this study, weight loss would be the dependent variable, as it is being measured or observed as a result of the change in the independent variable, which is the calorie intake (1,300 calories/day).

The independent variable is the factor that is being manipulated or changed in the study, and the dependent variable is the factor that is being measured or observed as a result of that change.

Put simply, an independent variable is just what it sounds like it is. It's a separate factor that can't be affected by the others. One independent variable could be a person's age.

In research, the independent variable might be either (1) quantitative or (2) qualitative. Variables with numeric or scalar ranges are called quantitative. They can be thought of as numerical variables that provide answers to "how many?" or "how often?"

The three primary categories of research variables are the independent variable, the dependent variable, and the controlled variables. Take the case of an automobile driving along a variety of terrains.

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Answer:

x = 12 , s = 41

Step-by-step explanation:

The sides of a square are equal , so

4x - 7 = 3x + 5 ( subtract 3x from both sides )

x - 7 = 5 ( add 7 to both sides )

x = 12

Then

length of side s is

s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41

Given:

The amount of money in Joel’s account is:

\(j(x)=25+3x\)

The amount of money in Kevin’s account is:

\(k(x)=15+2x\)

To find:

The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.

Solution:

We need to find the difference between the function j(x) and function k(x).

\(j(x)-k(x)=(25+3x)-(15+2x)\)

\((j-k)(x)=25+3x-15-2x\)

\((j-k)(x)=(25-15)+(3x-2x)\)

\((j-k)(x)=10+x\)

Therefore, the correct option is D.

To find the z-score for the amount spent yesterday by a customer which made a purchase of $32.25, we first need to calculate the standard deviation of the sampling distribution of the means.

We can use the formula:
Standard Deviation = standard deviation of population / square root of sample size
Since we don't know the sample size, we will assume that it is large enough (more than 30) and use the central limit theorem to estimate the standard deviation of the sampling distribution of the means.
The standard deviation of the sampling distribution of the means is:
Standard Deviation = 2.50 / sqrt(n)
Assuming n is large enough, we can estimate the standard deviation to be approximately:
Standard Deviation ≈ 2.50 / sqrt(30) ≈ 0.456
Now we can calculate the z-score using the formula:
z-score = (x - μ) / σ
Where:
x = $32.25 (amount spent by the customer)
μ = $28.50 (mean amount spent by a typical customer)
σ = 0.456 (estimated standard deviation of the sampling distribution of the means)
z-score = (32.25 - 28.50) / 0.456 ≈ 8.24
Therefore, the z-score for the amount spent yesterday by a customer which made a purchase of $32.25 is approximately 8.24. This suggests that the amount spent by this customer is quite unusual, as it is more than 8 standard deviations above the mean.

To calculate the z-score for a customer's purchase of $32.25 at a convenience store chain, where the mean amount spent by a typical customer is $28.50 and the standard deviation is $2.50, you can follow these steps:
1. Determine the mean (μ) and the standard deviation (σ). In this case, μ = $28.50 and σ = $2.50.
2. Identify the individual data point (x) for which you want to calculate the z-score. Here, x = $32.25.
3. Use the z-score formula: z = (x - μ) / σ.
4. Plug in the values: z = ($32.25 - $28.50) / $2.50 = $3.75 / $2.50 = 1.5.
So, the z-score for the amount spent yesterday by the customer who made a purchase of $32.25 is 1.5.

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Step-by-step explanation:

You can remember the commutative property by thinking of the numbers "commuting," or changing places. The example shows us that "negative two plus positive four" is the same as "positive four plus negative two.

Based on the information given, it can be noted that the final price of the item will be $74500.

From the information given, Me Sanchez wants to purchase a camper, which is on sale for 10% off the original price of $85,000 and the manufacturer is offering a $2500 rebate.

Therefore, the final price will be:

= $85000 - (10% × $85000) - $2500

= $85000 - $8500 - $2000

= $74500.

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The shortest distance Hannah will have to run to see both a drink station and direction marker at the same location is 3500 meters.

The least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given:

She will be running while her other team members swim and bike.

Hannah will see a direction marker every five hundred meters during the race.

There will be drinks stations set up every seven hundred meters.

The shortest distance Hannah will have to run to see both a drink station and direction marker at the same location is,

= LCM of 500 and 700

= 3500 meters.

Therefore, the distance is 3500 meters.

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Answer:

I think the answer is probably A

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B-a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C-a-b-c

2-(-1-1)

=2+1-1

=2

Answer:

11

Step-by-step explanation:

If he scored 7 goals with each goal being worth 2 stars, that's 14 stars. If he missed 6 times, then he lost 3 stars. So the answer is 11.

Answer:

The answer is "52.33".

Step-by-step explanation:

\(\to \theta= 60^{\circ}\\\\ \to r= 10 \ in\)

\(\bold{Area = \frac{\theta}{360^{\circ}}\times \pi r^2}\)

         \(=\frac{60}{360} \times 3.14 \times 10^2\\\\=\frac{1}{6} \times 3.14 \times 100\\\\=\frac{1}{6} \times 314 \\\\=\frac{314}{6}\\\\=52.33 \\\\\)

Jerry's cost of going to college is $29,000.

Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is

$29,000 ($15,000 + $12,000 + $2,000).

If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of

$17,000 ($27,000 - $10,000)

In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.

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The minimum number of sets of knives Kaj should buy if the restaurant needs at least 736 knives is 48. 4 sets of knives

155 + 12x ≥ 736

12x ≥ 736 - 155

12x ≥ 581

x ≥ 581 / 12

x ≥ 48.41666666666666

Approximately,

x ≥ 48. 4 sets of knives

In conclusion, the sets of knives kaj needs to buy more is 48. 4 sets of knives

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Answer:

y = 4x -8

Step-by-step explanation:

The y intercept is -8 so our b term for y = mx + b is 8.

The line goes up 4 y values every one x value to the right

Answer:

y = 3x - 8

Step-by-step explanation:

To write the equation of the line in slope-intercept form, or y = mx + b, we have to find the y-intercept (b) and the slope(m).

To find the y-intercept, look at the graph at find where the line intercepts the y-axis. On this graph, the line intercepts at y = -8. Now we know the value of b.

To find the slope, look at the rise over run between two points. The line goes up by 3 every time it goes over 1. this means that our slope is 3.

Now we can input the values of the slope and the y-intercept into the equation.

y = 3x - 8

I hope this helps :)

The limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 can be found using L'Hôpital's rule.

Using L'Hôpital's rule, we differentiate the numerator and denominator with respect to x:

Numerator: (e^x - (-e^(-x)))' = (e^x + e^(-x))

Denominator: (e^x - x - 1)'

Taking the limit as x approaches 0 of the derivatives, we get:

lim x→0 (e^x + e^(-x))/(e^x - 1)

Now, substituting x = 0 into the expression, we get:

(e^0 + e^(-0))/(e^0 - 1) = (1 + 1)/(1 - 1) = 2/0

The result is an indeterminate form of 2/0, which indicates that L'Hôpital's rule can be applied again.

Differentiating the numerator and denominator once more, we get:

Numerator: (e^x + e^(-x))' = (e^x - e^(-x))

Denominator: (e^x - 1)'

Taking the limit as x approaches 0 of the derivatives, we have:

lim x→0 (e^x - e^(-x))/(e^x) = (1 - 1)/(1) = 0/1 = 0

Therefore, the limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 is 0.

In summary, applying L'Hôpital's rule twice, we find that the limit of the given expression as x approaches 0 is 0.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.

Answer:

A. the y-intercept would be 4 and the down is going down, so it's negative. y=-3x+4

Step-by-step explanation:

Answer:

45ft

Step-by-step explanation:

use pythagoras

c²=a²+b²

47²=15²+b²

(solve for b)

b= 44.5

round off, =45

When we carry out a chi-square goodness-of-fit test for a normal distribution, the null hypothesis states that the population does have a normal distribution.

The null hypothesis states that the population has a normal distribution The chi-square goodness-of-fit test is not specifically used for testing the normal distribution. It is typically used to test whether observed data follows an expected theoretical distribution In the case of a chi-square goodness-of-fit test for a normal distribution, the null hypothesis would state that the observed data follows a normal distribution.

The chi-square goodness-of-fit test is a statistical test used to determine if there is a significant difference between the observed frequencies in a sample and the expected frequencies based on a theoretical distribution or model The null hypothesis in a chi-square goodness-of-fit test states that the observed data follows the expected distribution or model. The alternative hypothesis suggests that there is a significant difference between the observed and expected frequencies.

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Answer:

Gonna have to say Yellow fabric just a estimate but I'm highly confident it's right

To determine if the observed data supports the geneticist's claim, we should use the Chi-square test for goodness of fit. .

This test will help we compare the observed frequencies of the four species in your sample with the expected frequencies based on the ratio 1:3:3:9.

1. Calculate the expected frequencies based on the ratio 1:3:3:9.
  Total ratio = 1+3+3+9 = 16
  Expected frequency of Species 1 = (1/16) * 4000 = 250
  Expected frequency of Species 2 = (3/16) * 4000 = 750
  Expected frequency of Species 3 = (3/16) * 4000 = 750
  Expected frequency of Species 4 = (9/16) * 4000 = 2250
2. Compute the Chi-square statistic using the formula:
  χ² = Σ [(Observed - Expected)² / Expected]
  χ² = (226-250)²/250 + (764-750)²/750 + (733-750)²/750 + (2277-2250)²/2250
  χ² = 2.304 + 0.2667 + 0.3067 + 0.3244
  χ² = 3.202
3. Determine the degrees of freedom (df) using the formula:
  df = Number of categories - 1
  df = 4 - 1 = 3
4. Choose a significance level (usually 0.05) and compare the calculated χ² value to the critical value from the Chi-square distribution table.  

5. If the calculated χ² value is less than or equal to the critical value, you cannot reject the null hypothesis, meaning the observed data is consistent with the geneticist's claim.

If the calculated χ² value is greater than the critical value, you can reject the null hypothesis, meaning the observed data does not support the geneticist's claim.

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Answer: The length of the hypotenuse (c) is 5

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a & b are the legs (b is the base)

c = hypotenuse

a = 4

b = 3

a² + b² = c²

4² + 3² = c²

16 + 9 = c²

25 = c²

√c² = √25

c = 5

each hot dog is 50 cents. Because .50+.50+.50+.50+.50+.50+.50.50=4 We know each hot dog is worth .50 cents because a pack of 8 HD cost $4 so each HD would need to cost less that a dollar. hope this helps!

Answer:

Step-by-step explanation:

According to intersecting chords theorem we have:

The missing length is 10 cm