Which values from the set {-8, -6, -4, -1, 0, 2} satisfy this inequality? -1/2x + 5>7

The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:

List 4.

A sample space is a set that contains all possible outcomes in the context of an experiment.

The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.

Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:

4 x 4 = 16.

This means that the correct list is either the list 3 or the list 4.

As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.

More can be learned about sample spaces at brainly.com/question/4871623

#SPJ1

Answer: List 4

Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.

Also I know the right answer because I got it right

So good luck on y'all's math tests :)

Here is some proof that the answer is List 4

The distance from the point (1,2) to the line 4x - 3y = 0 is 2/5 units.

To find the distance between a point and a line, we need to use the formula:

distance = |ax + by + c| / √(a^2 + b^2)

where a, b, and c are the coefficients of the equation of the line in the form ax + by + c = 0. In this case, the equation of the line is 4x - 3y = 0, so a = 4, b = -3, and c = 0.

To apply the formula, we need to find the values of x and y that correspond to the point (1,2) when they are plugged into the equation of the line. Solving for y in terms of x, we get:

4x - 3y = 0

-3y = -4x

y = (4/3)x

Now we can plug in the coordinates of the point (1,2) and find the distance:

distance = |4(1) - 3(2) + 0| / √(4^2 + (-3)^2)

= |-2| / √(16 + 9)

= 2 / √25

= 2/5

Therefore, the distance from the point (1,2) to the line 4x - 3y = 0 is 2/5 units.

Learn more about line here

https://brainly.com/question/18831322

#SPJ11

Answer:

the answer is 48m^2!

Step-by-step explanation:

Answer:

The answer is 35299.88. Hope this helps

The symbolic forms for the given statements are: (b) p ∨ r, (c) p ∧ q, (d) q ~ r, and (e) p ∨ q. Statement (a) cannot be expressed symbolically.

(a) x ≥ 5: This statement represents a numerical inequality, and it cannot be expressed symbolically.

(b) p ∨ r: The symbolic form for the statement "p ∨ r" is a logical disjunction, meaning it represents the logical "OR" operation between the propositions p and r.

(c) p ∧ q: The symbolic form for the statement "p ∧ q" is a logical conjunction, indicating the logical "AND" operation between the propositions p and q.

(d) q ~ r: The symbolic form for the statement "q ~ r" is a negation, where the proposition r is negated, represented by the symbol "~".

(e) p ∨ q: The symbolic form for the statement "p ∨ q" is a logical disjunction, indicating the logical "OR" operation between the propositions p and q.

In logic, different symbols are used to represent various logical operations and relationships between propositions. The statements provided have different symbolic forms based on the logical operations they represent.

The "∨" symbol represents logical disjunction (OR), "∧" symbol represents logical conjunction (AND), and "~" symbol represents negation. It is important to understand the symbolic forms to accurately represent and analyze logical statements.

To learn more about inequality click here

brainly.com/question/30238773

#SPJ11

Answer:

1. 128.2 mm^2

2. 144 mm^2

The value of TN for this problem is given as follows:

B. 30.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Then the value of x is obtained as follows:

8(x + 20) = 12 x 20

x + 20 = 12 x 20/8

x + 20 = 30.

x = 10.

Then the length TN is given as follows:

TN = x + 20

TN = 10 + 20

TN = 30.

More can be learned about the chords of a circle at brainly.com/question/16636441

#SPJ1

Answer:

We need to see the image

Step-by-step explanation:

Show us the image so we can help you :)

Answer:

y=3x

Step-by-step explanation:

y=kx, where k is constant

3y, 1x...so 3y = 1x

check: looking at the graph at 4.5y, 1.5x where y and x intersect...

4.5=3(1.5)

3 x 1.5 = 4.5

The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

Learn more about probability:

brainly.com/question/30034780

#SPJ11

Answer: 3 ⅞, 3¾, 3⅔, 3 2/5

Step-by-step explanation:

The order of the pencils lengths from greatest to lowest will be converted to percentage to make it easier.

3 7/8 = 3.875

3 2/5 = 3.4

3 3/4 = 3.75

3 2/3 = 3.67

Therefore, from greatest to lowest will be:

3 ⅞, 3¾, 3⅔, 3 2/5

B. Just saying, this is an estimate, yet it seems more logical.

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

Learn more about curve here:

https://brainly.com/question/28793630

#SPJ11

Answer:

Step-by-step explanation:

To convert the decimal 0.25 to a fraction, we can write it as:

0.25 = 25/100

We can simplify the fraction 25/100 by dividing both the numerator and the denominator by their greatest common factor (GCF), which is 25. This gives us:

25/100 = (25 ÷ 25) / (100 ÷ 25) = 1/4

So the simplified fractional equivalent of the terminating decimal 0.25 is 1/4.

Answer:

he got 3456 crayons.

Step-by-step explanation:

To provide a solution for trigonometric equations on the interval [0, π), it is necessary to know the specific trigonometric equation.

Please provide the equation you would like to solve, and I will guide you through the steps to find all the solutions within the given interval.

Specify the trigonometric equation: Let's assume we have a trigonometric equation in the form f(x) = 0, where f(x) represents a trigonometric function like sine, cosine, or tangent.

Isolate the trigonometric function: Rearrange the equation to isolate the trigonometric function on one side of the equation. For example, if we have sin(x) = k, where k is a constant, move k to the other side to get sin(x) - k = 0.

Utilize trigonometric identities: If necessary, apply trigonometric identities to simplify the equation. For instance, you can express sine or cosine in terms of the other trigonometric functions using identities like sin^2(x) + cos^2(x) = 1.

Apply inverse trigonometric functions: Determine the inverse trigonometric function that cancels out the trigonometric function in the equation. For example, if you have sin(x) = k, you can use arcsin on both sides to obtain x = arcsin(k).

Solve for x: Calculate the solutions using the inverse trigonometric function. Keep in mind that trigonometric equations often have infinitely many solutions, so it is important to specify the interval [0, π) to find the solutions within that range.

By following these steps, you can find all the solutions to the trigonometric equation within the given interval [0, π). It is crucial to have the specific equation you want to solve in order to provide a more accurate solution.

To learn more about trigonometric function click here:

brainly.com/question/25618616

#SPJ11

Answer:

4x - 4 -9x + 6 = 12x + 24

arrange like terms

-5x +2 = 12x + 24

or, -17x = 22

x = - 22/17

Answer:

4x-4-9x+6=12x+24

4x-12x-9x= 4-6+24

-17 x= 22

X= -22/17

mark it as brainliest!!!

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

Read more about fraction

brainly.com/question/17220365

#SPJ1

Answer:

G(x) = 3x +2

Step-by-step explanation:

I do not know what the problem is asking for, but if it's asking for the function, here you go.

Answer:

shbdhsjdcjsvdbssegehehhehehejrjehe

Answer:

Slope= 3/11

Step-by-step explanation:

Slope formula= \(\frac{y2-y1}{x2-x1}\)

Use the points (-8, 2) and (3,5)

\(\frac{5-2}{3-(-8)}\) = \(\frac{3}{3+8}\) = \(\frac{3}{11}\)

Slope= \(\frac{3}{11}\)

Use point-slope to find the equation

y-y1=m(x-x1)

*Use the slope (previously found) as m, and (3,5) as your point (x,y)*

y-5=\(\frac{3}{11}\)(x-3)

y-5=\(\frac{3}{11}\)x-3\(\frac{3}{11}\)

 +5      +5

y=\(\frac{3}{11}\)x+2\(\frac{3}{11}\)

The correct matching of positive and negative number according to the situation is given by,

An increase in altitude of 6 miles.→ +6

6 degrees below zero.→-6

Taking 12 steps back.→-12

Going up 12 stairs.→+12

Depositing $2,000 →+2000

A withdrawal of $2,000→ -2000.

The left hand side statement representing the situation of right hand side are as follow,

An increase in altitude of 6 miles represents the positive value of 6 as it increases.

+ 6.

6 degrees below zero represents the negative value of 6 as below zero numbers are negative.

-6.

Taking 12 steps back represents the negative value of 12 as moving back is negative direction.

-12.

Going up 12 stairs represents the positive value of 12 as moving up is always positive.

+12.

Depositing $2,000 represents the positive value of 2000 as it increases the amount.

+2000

A withdrawal of $2,000 represents the negative value of 2000 as it decreases the amount.

-2000.

learn more about negative number here

brainly.com/question/19983612

#SPJ1

Answer:

its equivalents can be 3/5*2 =6/10 = > 6:103/5×2=6/10=>6:10

second equivalent is 3/5*3=9/15= > 9:153/5×3=9/15=>9:15

Answer:

30/50, 6/10, 15/25, 300/500

actually as a ratio it should be:

30:50 , 6 : 10, 15:25, 300:500

Step-by-step explanation:

Answer:

copy a segment

Step-by-step explanation:

The quotient is the result of a division. Then, the quotient of b and 8 is:

Answer: b/8.

This set is closed under scalar multiplications. Statement 1 is false.

This set is a subspace. This statement is also false because this set does not contain a zero vector so it is not a subspace.

This set is closed under vector addition. This is false. Because let v and w be two vectors such that v=(v1,v2); w=(w1,w2).

The set contains the zero vector. Statement 4 is false because the sum of two zero vectors cannot be equal to 1.

Since v and w are vectors satisfying the condition of space so v1+v2=1;w1+w2=1

Now we check whether v+w also belongs to the same space or not.

v+w=(v1,v2)+(w1,w2)=(v1+w1, v2+w2)

We shall check whether components of v+w also add up to 1.

v1+w1+v2+w2=v1+v2+w1+w2=1+1=2

So it means that this space is not closed under addition too.

Consider a vector v=(v1,v2) from the space.

Obviously v1+v2=1

Now let us take a constant 'c'  and consider the behavior of

cv=c(v1,v2)=(cv1,cv2)

Now we check whether components of this vector add up to 1.

cv1+cv2=c(v1+v2)=c\neq 1

which clearly indicates that vectors of this space are not closed under scalar multiplication.

To learn more about scalers and vectors,

https://brainly.com/question/21925479

#SPJ4

Answer:

C: 125

Step-by-step explanation:

First of all we can see that one angle is 55 degrees. Due to the fact it is on a straight line, we can assume to angle directly on the left of it, 6 is 180-55. Because a straight line is 180 degrees and we already have 55 degrees filling it. So if we do that, we can see that angle number 6 is 125 degrees. Which if we use the corresponding angles theroem, we get that angle number 1 is also 125 degrees. And because number 1 and x are corresponding angles, x is also 125 degrees. There are many ways to do it but I did this way the fastest. I challenge you to try to find another way to solve it.

Hope this helps!

If the calculated F-statistic is greater than 2.90, the researcher will conclude that there are significant differences between the means at the α = 0.05 significance level.

The researcher is conducting an analysis of variance (ANOVA) test to determine whether there are significant differences between the means of four different formulations of a new drug.

The null hypothesis in this case is that there are no significant differences between the means of the four formulations. If the calculated F-statistic is large enough to reject the null hypothesis, then the researcher will conclude that there are significant differences between the means.

To determine the range of F-statistic values that would lead to rejecting the null hypothesis at the α = 0.05 significance level, the researcher needs to refer to the F-distribution table.

The degrees of freedom for this test are (4-1) = 3 for the numerator and (10*4-4) = 36 for the denominator. From the F-distribution table, the critical F-value for α = 0.05 with 3 and 36 degrees of freedom is approximately 2.90.

If the calculated F-statistic is less than or equal to 2.90, the researcher will fail to reject the null hypothesis and conclude that there are no significant differences between the means.

To learn more about test click on,

https://brainly.com/question/16008103

#SPJ4

x = 0 is a point of change in curvature for the function g(x) = 4x|x|.

The given function is g(x) = 4x|x|.

The first derivative of g(x) is:

g'(x) = 4|x| + 4x * d/dx (|x|)

= 4|x| + 4x * sgn(x)

where sgn(x) is the sign function that equals 1 if x > 0, -1 if x < 0, and 0 if x = 0.

The second derivative of g(x) is:

g''(x) = 4 * d/dx (|x|) + 4 * sgn(x) + 4x * d^2/dx^2 (|x|)

= 4 * sgn(x) + 4 * δ(x)

where δ(x) is the Dirac delta function that equals infinity at x = 0 and 0 elsewhere.

Since the second derivative of g(x) does not exist at x = 0, g(x) has no inflection point at x = 0.

However, we can see that g(x) changes from concave down to concave up at x = 0, which is a point of interest. At x < 0, g(x) is a downward-facing parabola, while at x > 0, g(x) is an upward-facing parabola. Therefore, we can say that x = 0 is a point of change in curvature for the function g(x) = 4x|x|.

Learn more about curvature here

https://brainly.com/question/30114042

#SPJ11

The 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

To calculate a 90% confidence interval for the population mean number of days it takes to find a job using the website's service, follow these steps:

1. Identify the sample mean (X), sample size (n), and population standard deviation (σ). In this case, X = 80 days, n = 32, and σ = 10 days.

2. Determine the desired confidence level. Here, it's 90%.

3. Find the critical value (z) associated with the 90% confidence level. You can look this up in a standard normal distribution table or use a calculator that provides this functionality. For a 90% confidence interval, the critical value is approximately 1.645.

4. Calculate the standard error (SE) by dividing the population standard deviation (σ) by the square root of the sample size (n). In this case, SE = σ/√n = 10/√32 ≈ 1.77.

5. Multiply the critical value (z) by the standard error (SE) to obtain the margin of error (MOE): MOE = z * SE = 1.645 * 1.77 ≈ 2.91.

6. Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error (MOE) from the sample mean (X). In this case, the lower bound = 80 - 2.91 ≈ 77.09, and the upper bound = 80 + 2.91 ≈ 82.91.

Thus, the 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

Learn more about "confidence interval":

https://brainly.com/question/15712887

#SPJ11

Answer:

ykLhxlyzykxlh jl jcul

Step-by-step explanation:

Given information: In the PGA, on par 3 holes, golfers hit the green in one shot 80% of the time. In fact, 20% of the time, they hit the green in one shot and then need only one putt to complete the hole. So 60% of the time, they hit the green in one shot but are unsuccessful on their putt.

Let G be the event that the golfer hits the green in one shot. Let P be the event that the golfer needs one putt to make the hole. Probabilities listed in the problem: Probability of hitting the green in one shot

.= 80% = P(G)Probability of hitting the green in one shot and needing only one putt = 20% = P(G ∩ P)Probability of hitting the green in one shot but are unsuccessful on the putt = 60% = P(G ∩ P')Where P' denotes not P or the complement of P. In other words, P' means that the golfer needs more than one putt to make the hole.

To know more about unsuccessful visit:

https://brainly.com/question/30107407

#SPJ11