What is the value of log416?

Answer:

2x + 5 is the answer

Step-by-step explanation:

Hope it helps

Answer: 2x + 5=15

Step-by-step explanation: two times a number mean twice, so you'd put 2 and the variable which is x, then is says "plus 5 equals 15" so then you put +5=15 and end up with 2x + 5 = 15 and then solve it as a 2-step equation.

To make a model of corresponding angles using toothpicks or straws, you can take two pieces of the material and place them next to each other at the same angle.

When two parallel lines are intersected by another line, corresponding angles are the angles that are created in matching corners or corresponding corners with the transversal.

To make a model of co-interior angles, you can place the two pieces of material on top of each other, with one inside the other at the same angle. To make a model of alternate angles, you can place the two pieces of material on opposite sides of a straight line, with one angle facing up and the other angle facing down.

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Complete question

make a model of corresponding angles using toothpicks or straws

The probability that a randomly selected person from the survey prefers bacon would be 60% in this example. However, without knowing the specific numbers, we cannot calculate the probability accurately.

To determine the probability that a randomly selected person from the survey prefers bacon, we need additional information such as the total number of respondents in the survey and the number of people who prefer bacon. Without this information, it is not possible to calculate the exact probability.

The probability can be calculated by dividing the number of people who prefer bacon by the total number of respondents in the survey. If the survey provides these specific numbers, we can use the formula:

Probability = Number of people who prefer bacon / Total number of respondents

For example, if the survey includes 100 respondents and 60 of them prefer bacon, the probability would be:

Probability = 60 / 100 = 0.6 or 60%

Therefore, the probability that a randomly selected person from the survey prefers bacon would be 60% in this example. However, without knowing the specific numbers, we cannot calculate the probability accurately.

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The chance of the event B is 0.4 when using the probability for the two independent two event formula.

In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).

Events classified as independent do not depend on other events for their occurrence.

Event A's likelihood of happening is P(A)=0.65.

The likelihood of the two events A and B intersecting is P(A∩B)=0.26.

Given that the likelihood of the two independent events is:

P(A∩B) = P(A)⋅P(B)

Then the probability of the event B will be,

P(B) = P(A)/P(A∩B)

P(B) = 0.65/0.26

P(B) =0.4

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The required range of users that access the website each day is between 95 and 155, inclusive.

Range, it is the set of values that come out to an outcome for a certain mathematical operations.

Here,
The inequality |125 - u| ≤ 30 means that the distance between u and 125 is less than or equal to 30. In other words, u can be any number that is within 30 units of 125, either above or below 125.

We can express this as two separate inequalities:

125 - 30 ≤ u ≤ 125 + 30

Simplifying, we get:

95 ≤ u ≤ 155

Therefore, the range of users that access the website each day is between 95 and 155, inclusive.

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Answer:

1. - 8

2. 3

3. - 2

Step-by-step explanation:

1.

80 = - 10b

- 10b = 80

b = 80 / - 10

b = - 8

2.

6 = 2n

2n = 6

n = 6 / 2

n = 3

3.

- 16r = 32

r = 32 / - 16

r = - 2

Answer:

8bc/12ab + 3ac/12ab

Step by step explanation:

c×(2/3a +1/4b)

c× (8b/12ab + 3a/12ab)

8bc/12ab + 3ac/12ab

Answer:

Y intercept: -3

X intercept: 1.5

Step-by-step explanation:

Find the y intercept by setting x equal to 0 and solving for y:

y + 5 = 2(x + 1)

y + 5 = 2(0 + 1)

y + 5 = 2(1)

y + 5 = 2

y = -3

Find the x intercept by setting y equal to 0 and solving for x:

y + 5 = 2(x + 1)

0 + 5 = 2(x + 1)

5 = 2(x + 1)

5 = 2x + 2

3 = 2x

1.5 = x

So, the y intercept is -3 and the x intercept is 1.5

The mean of the distribution of sample proportions is 179.8 and the standard deviation is 0.019

The sample distribution of the proportions is used to measure the proportion with which success is achieved. The chance of an event taking place is the proportion computed by dividing the number of successes by the size of the sample.

Given that, You intend to draw a random sample of size n = 580 from a population whose parameter is p = 0.31, we are asked to find the mean of the distribution of sample proportions and standard deviation of the distribution of sample proportions.

Under the sampling distribution of the proportions, the mean and standard deviation are calculated by :

a) The mean is given as ;

μ = nP

Where, n is the sample size

P is the population proportion

Therefore,

μ = 580(0.31)

μ = 179.8

b) The standard deviation is given as follows :

δ = \(\sqrt{\frac{P(1-P)}{n} }\)

δ = \(\sqrt{\frac{0.31(1-0.31)}{580} }\)

δ = 0.019

Hence, the mean of the distribution of sample proportions is 179.8 and the standard deviation is 0.019

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Answer:

AB = 11.287

sorry i probably explained it poorly but hope this helps :)

nice profile pic btw :D

Answer:

3/13 which is 0.23 as a decimal

Step-by-step explanation:

Using the product rule, then (A) is the answer.

Symbol. LVII. A Roman numeral representing fifty-seven (57).

What are Roman numbers?

Roman numbers are the symbols used in a system of numerical memorandum grounded on the ancient Roman system. The symbols are I, V, X, L, C, D, and M, standing independently for 1, 5, 10, 50, 100, 500, and,000.

How do Roman numbers work?

In the Roman numeric system, the symbols I, V, X, L, C, D, and M stand independently for 1, 5, 10, 50, 100, 500, and,000 in the Hindu- Arabic numeric system. A symbol placed after another of equal or lesser value adds its value. A symbol placed before one of lesser value subtracts its value. A bar placed over a number multiplies its value by,000.

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The probability that it will have distinct even digits is 6/1000.

The first digit can take on 5 values (0,2,4,6,8).

The second digit could take on 4 values (one less than 5 to be unique).

The third digit could take on 3 values (two less than 5 to be unique).

So that makes,

N=5.4.3

N=60

P= 60/1000

P=3/50

So there are 60 unique three digit even numbers.

There are 1000 possible outcomes.

Probability and statistics are two fundamental concepts in mathematics. Probability is about the probability of an event, whereas statistics are about how different techniques are used to process different data.

Probability and statistics allow us to process complex data in a very understandable way.

Probability is one of the most popular topics in statistics. The reason is that this one theory is often used when trying to predict something. For example, figuring out what comes out of a random series of events. For simplicity, probability is also called chance or probability. 

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Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

⨠ add 8 and 6

\(\sf{2x^2+14}\)

⨠ factor the 2 out

\(\sf{2(x^2+7)}\)

Since we cannot simplify this more, we know that we've simplified completely.                                                                                   \(\small\pmb{\sf{Frozen \ melody}}\)

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Answer:

-24 degrees Celsius

Step-by-step explanation:

6 x -4 = -24

Answer:

24 degrees.

Step-by-step explanation:

6 * 4 = 24.

Answer:

-46, -31, -9, -7, 0, 4, 15

Step-by-step explanation:

Larger Negatives are always the smallest

Answer:

-46 , -31, -9 , -7, 0 , 4 , 15

Step-by-step explanation:

To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.



To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:

1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.

2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.

3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.

Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.

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Answer: Choice B

Range = {-3, 1, 5}

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

Explanation:

The domain is the set of all possible input x values. The range is the set of all possible y outputs.

Plug in each x value from the domain, one at a time, to get its corresponding range y value.

--------------------

Start with x = -3

f(x) = 2x+3

f(-3) = 2(-3)+3

f(-3) = -6+3

f(-3) = -3

So -3 is in the range.

--------------------

Move onto x = -1

f(x) = 2x+3

f(-1) = 2(-1)+3

f(-1) = -2+3

f(-1) = 1

1 is also in the range

--------------------

Finally plug in x = 1

f(x) = 2x+3

f(1) = 2(1)+3

f(1) = 2+3

f(1) = 5

The value 5 is the final value in the range.

--------------------

All of those values form the set {-3, 1, 5} which is the complete range.

The graph of \(\(y = \sqrt{x+1}\)\) is a curve that starts at the point (-1, 0) on the y-axis and continues to rise as x increases, which is represented by the graph in option B.

The graph of \(\(y = \sqrt{x+1}\)\) is a curve that starts at the point (-1, 0) on the y-axis and continues to rise as x increases. It is a square root function, so the curve is smooth and continuous. The graph is always above or on the x-axis since the square root of a positive number is always non-negative.

As x approaches negative infinity, the graph becomes steeper and approaches the y-axis asymptotically. As x approaches positive infinity, the graph continues to rise but at a slower rate.

The shape of the graph resembles a half of a parabola that opens to the right. The vertex of the graph is located at the point (-1, 0).

Therefore option B represents the correct graph for \(\(y = \sqrt{x+1}\)\).

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Complete Question:

Which of the following is the graph of \(y=\sqrt {x-1}\)?

Three letters will be selected from five letters. The number of possible selections is 10.

A combination is a method of picking elements from a collection where the order of selection is irrelevant. Assume we have three numbers P, Q, and R. The number of ways we can choose two numbers from each set is determined by combination.

Suppose we want to pick k elements from a set of n elements, then the number ways it can be chosen is:

C(n,k) = n! / k! (n-k)!

Where n! is n factorial.

In this case, there are 5 letters and we want to select three letters. Hence, k = 3, and n = 5.

C(5,3) = 5! / 3! (5-3)!

C(5,3) = 5! / (3! 2!) = 10

Thus, there are 10 possible selections.

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Answer:

X = 10

Step-by-step explanation:

Therefore, approximately 4886 students out of the 5000 students will score less than 75 on the exam.

To determine approximately how many students will score less than 75 on the exam, we can use the properties of the normal distribution. Given that the scores on the exam are normally distributed with a mean of 59 and a standard deviation of 8, we can calculate the z-score for a score of 75 using the formula:

z = (x - μ) / σ

Where:

x is the score we want to find the cumulative probability for (75 in this case)

μ is the mean of the distribution (59)

σ is the standard deviation of the distribution (8)

Plugging in the values:

z = (75 - 59) / 8

z = 16 / 8

z = 2

Next, we need to find the cumulative probability associated with a z-score of 2. This represents the area under the normal distribution curve up to the z-score of 2, which corresponds to the proportion of students who scored less than 75.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for a z-score of 2 is approximately 0.9772.

To find the number of students who scored less than 75, we multiply this cumulative probability by the total number of students in the group:

Number of students = cumulative probability * total number of students

Number of students = 0.9772 * 5000

Number of students ≈ 4886

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Answer: 17/52

Step-by-step explanation:

There are 52 total cards in a standard deck.

The number of diamonds in a deck of cards is 13 and there are 4 jacks in a deck of cards.

So the propabibilty of Pat picking a diamond is 13/52 and the probability of Pat picking a jack is 4/52. Now you have to add the two probabilities together.

You do not remove any digits because Pat put the card back into the deck, he didn't take it away. So we do not take away from the total

13 + 4 = 17

You do not need to change the denominator cause 52 is the same.

So 17/52 is the probability of Pat picking a diamond or a jack

I hope this helped!

Answer:

.20$

Step-by-step explanation:

4 1/2=4.5

4.5 divided by 22.50=.20

Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.

What was the cost per pound?

.20cents

Answer:

5.385 Units

Step-by-step explanation:

5²+2²=c²

25+4=c²

29=c²

c=√29

c=5.385

Answer:8

Step-by-step explanation:

Answer:

Tim has 64 dollars. I did the math and I know I'm right

Triangles are similar by SSS rule.

The triangle similarity rule states that if two triangles have corresponding angles that are congruent, then the triangles are similar. This means that their corresponding sides are proportional in length. More formally, if two triangles ABC and DEF are similar, then:

The corresponding angles are congruent: ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

The corresponding sides are proportional: AB/DE = BC/EF = AC/DF.

Similar triangles can also be used to find the height of tall objects or the distance between two objects of known height, using the angle of elevation and the properties of similar triangles.

In the Triangle ABC and CDA;

AB=CD(Given)

BC=AD(Given)

AC=AC(sides are common)

Hence,  Triangles are similar by SSS rule.

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