7.) What is the intercept in the equation?
Y=2x+4

Answer:

To find this we use the distance formula.

Square root of (-2 + 9)^2 + (-2 + 6)^2

square root of 49 + 16

square root of 65

8.0622577483

Step-by-step explanation:

Answer:

0.0031

Step-by-step explanation:

31/10000=0.0031

you divided by 10000 and it has four zeroes so you should have four numbers after 0

Answer:

.0031

Step-by-step explanation:

The 10,000ths place is the fourth place to the right of the decimal. This is where you place the 1 in 31, as it is out of 10,000, and the 3 goes to the left of it, so it is .0031.

Answer:

1.2)60-35=25

therefore there are 25 boys in the class

1.2)35/60×100=58.333%

1.3)35:25

7 : 5

Answer:

11

Step-by-step explanation:

3 + 2 × 4 ( multiplication before addition )

= 3 + 8

= 11

the dance team would need to perform for 14 minutes during the cruise routine.

To find the length of the cruise for the hip-hop dance team's routine, we can use the following equation:

Lc = Lu + (2 * Lu)

where Lc is the length of the cruise routine, and Lu is the length of the usual routine.

The problem states that the long weekend routine is three times as long as the usual routine. Therefore, we can represent the length of the long weekend routine as 3 * Lu.

Substituting this value into the equation, we get:

Lc = Lu + (2 * 3 * Lu)

Lc = Lu + 6Lu

Lc = 7Lu

This means that the length of the cruise routine is seven times the length of the usual routine.

For example, if the usual routine is 2 minutes long, then the length of the cruise routine would be:

Lc = 7 * 2

Lc = 14 minutes

Therefore, the dance team would need to perform for 14 minutes during the cruise routine.

In summary, we can use the equation Lc = Lu + (2 * Lu) to find the length of the cruise routine for the hip-hop dance team. By substituting the length of the usual routine into the equation, we can determine that the length of the cruise routine is seven times the length of the usual routine.

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A dance who is in team is hip-hop play song contest with the long weekend routine routine is three times as long as usual routine wait until the equation to find the length of the cruise to routines of a song contest?

Answer:

An equation that satisfies all three pairs of a and b values listed in the table include the following: C. 3a - b = 10

Step-by-step explanation:

How to determine an equation that satisfies all three pairs of a and b values listed in the table?

In order to determine an equation that satisfies all three pairs of a and b values listed in the table, we would substitute each of the numerical values corresponding to each variable into the given equations and then evaluate as follows;

a - 3b = 10

0 - 3(-10) = 30 (False).

3a + b = 10

3(0) - 10 = -10 (False).

3a - b = 10

3(0) - (-10)

0 + 10 = 10 (True).

3a - b = 10

3(1) - (-7)

3 + 7 = 10 (True).

3a - b = 10

3(2) - (-4)

6 + 4 = 10 (True)

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Complete Question:

Which equation satisfies all three pairs of a and b values listed in the table?

a b

0 -10

1 -7

2 -4

The equation is?

A.) a-3b=10

B.) 3a+b=10

C.) 3a-b=10

D.) a+3b=10

The true statement about the rates is that (b) Jade paid more per gallon than Carly.

From the question, we have the following parameters that can be used in our computation:

Carly:

Paid $17.50 for 7 gallons

Jade:

Paid $45 for 15 gallons

The rate per gallon can be calculated using the following equation

Rate per gallon = Amount/Number of gallons

Substitute the known values in the above equation, so, we have the following representation

Carly = 17.50/7 = $2.5 per gallon

Jade = 45/15 = $3 per gallon

By comparison.

3 is greater than 2.5

Hence, Jade paid more per gallon than Carly.

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Complete question

Carly paid $17.50 for 7 gallons of gas and Jade paid $45 for 15 gallons of gas. Which of the following statements is true?

Carly paid more per gallon than Jade.

Jade paid more per gallon than Carly.

Carly and Jade paid the same amount per gallon.

The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

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Answer:

IJ=7

Step-by-step explanation:

5+?+1=13

13-5-1=7

Answer:

first plot the positive 2 on the y axis

plot (0,2)

Then from (0,2) go up 2 and right 2.

Answer in attached image

Answer:

GD = 5/2 sqrt 2 = 2½ sqrt 2

EG = 5/2 sqrt 6 = 2½ sqrt 6

Answer:

Concept: Computational Analysis

Answer:x+(4)= -1

x=-1+4

x=3

The blank space is 3

Step-by-step explanation:

Answer:

8 + 6t

Step-by-step explanation:

just distribute the negative signs in front of the parenthesis which is technically just -1

or if its easier, just multiply the numbers inside the parenthesis by -1 and get rid of the parenthesis

Answer:

Evaluate for x=82

6(8282)

6(8282)

=5.139100914616739e+157

Step-by-step explanation:

Answer / Step-by-step explanation:

(300.500+40.60+8.2)=348.562

If a confidence interval for a difference in proportions (p1-p2) is (-6%, 12%), the correct conclusion is that we are not sure which of p1 or p2 is larger.

The confidence interval includes both positive and negative values, indicating that the difference could be positive (p1 is larger than p2), negative (p1 is smaller than p2), or even zero (p1 is equal to p2). Therefore, based on the given confidence interval, we cannot make a definitive claim about the relative sizes of p1 and p2.

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The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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The stem-and-leaf display of the data is

Stem | Leaves

1 | 2

2 | 2

3 | 3

4 | 5, 8

To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.

The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.

Now, let's organize the data values into their corresponding stems:

Stem 1: 12

Stem 2: 22

Stem 3: 33

Stem 4: 45, 48

Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:

Stem 1: 2

Stem 2: 2

Stem 3: 3

Stem 4: 5, 8

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Answer:

The answer is C (9 and - 3) because -3 is 12 less than 9 and 9 × -3 = -27

Answer:

3.5 or 3 and 1/2

Step-by-step explanation:

3 and 15/16 / 1 and 1/8

Answer: 12ab^3

Step-by-step explanation:

The length of the rectangle will be gotten by dividing the area by the width. This will be:

Length = 72 a^3b^4 / 6a^2 b

= 72 × a × a × a × b × b × b × b / 6 × a × a × b

= 12 × a × b × b × b

= 12ab^3

Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Answer:

793,500

Step-by-step explanation:

When rounding to the nearest hundred, we have to look to the digit to the right, which is in the tens place. If the digit is 4 or less, you "let it rest", meaning you change the digits below the hundreds place into 0. If the digit is 5 or more, you bump up the tens digit and make the remaining digits 0.

In this case, the tens place is 4, so we round down to get 793,500.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer: 793,500

Step-by-step explanation:

If the number at the hundred’s place is followed by 5, 6, 7, 8, or 9, the number is rounded up.Example  – We want to round off 54897 to the nearest 100.

1. Look for the digit at the hundred’s place. It is 8.

2. Now look for the digit to the right of the digit at the hundred’s place. The number is 93. Since this number is greater than 5, we round up the number, i.e. we round it off to the nearest 100 that comes next to this number. So, 97 becomes 100 which on adding to 8 at the hundred’s places, becomes 900.Hence, the number 54897 after being rounded off to the nearest 100 is 54900

Answer:

A. \(g(x)=5x^2\)

Step-by-step explanation:

The graph g(x) looks like a parabola, which means it would be a quadratic function or have \(x^2\) in it.

Looking through the answer choices, A is the only answer whose function passes through the point (1,5) and is the most likely function for g(x).

\(5x^2=5(1)^2=5(1)=5\)

For the given triangles ΔTRS and ΔQRP , the required step to prove both the triangles are congruent is ∠TRS ≅ ∠QRP.

As given in the question,

Two triangles ΔTRS and ΔQRP,

It is given that :

Line segment SR ≅ Line segment PR

Line segment SP bisects Line segment TQ

⇒ line segment TR ≅ line segment RQ

∠TRS ≅ ∠PRQ ( by vertically opposite angle )

By Side angle side theorem we have ,

ΔTRS ≅ ΔPRQ

Therefore, for the given triangles ΔTRS and ΔQRP ,the required step to prove both the triangles are congruent is ∠TRS ≅ ∠QRP.

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The proportion of the bank's Visa cardholders who pay more than $29 in interest is 0.3300 or 33.00%.

A. To find the proportion of the bank's Visa cardholders who pay more than $29 in interest, we need to find the area under the normal distribution curve to the right of $29.

We can standardize the value of $29 using the formula z = (x - μ) / σ, where x is the value of interest, μ is the mean, and σ is the standard deviation. Thus,

z = (29 - 25) / 9 = 0.4444

Using a standard normal distribution table or calculator, we can find that the area to the right of z = 0.4444 is 0.3300. Therefore, the proportion of the bank's Visa cardholders who pay more than $29 in interest is 0.3300 or 33.00%.

B. To find the proportion of the bank's Visa cardholders who pay more than $35 in interest, we need to standardize the value of $35 and find the area under the normal distribution curve to the right of that value. Thus,

z = (35 - 25) / 9 = 1.1111

Using a standard normal distribution table or calculator, we can find that the area to the right of z = 1.1111 is 0.1331. Therefore, the proportion of the bank's Visa cardholders who pay more than $35 in interest is 0.1331 or 13.31%.

C. To find the proportion of the bank's Visa cardholders who pay less than $14 in interest, we need to find the area under the normal distribution curve to the left of $14. We can standardize the value of $14 using the formula z = (x - μ) / σ, where x is the value of interest, μ is the mean, and σ is the standard deviation. Thus,

z = (14 - 25) / 9 = -1.2222

Using a standard normal distribution table or calculator, we can find that the area to the left of z = -1.2222 is 0.1103. Therefore, the proportion of the bank's Visa cardholders who pay less than $14 in interest is 0.1103 or 11.03%.

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Step-by-step explanation:

Let the numbers be x and y

2 consecutive even nos.

therefore y = x+2

twice of the first (2x) is 46 more than y

2x = y+46

Solving both the equations

x - y + 2 = 0

(-)2x - y - 46 = 0

____________

-x + 0 + 48 = 0

____________

x = 48

y = x+2

= 48 +2

= 50

Therefore the 2 nos. are 48 and 50

Hope this answers helps you

If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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Answer:

The condition of a ≠ 0 is imposed in the definition of the quadratic function to ensure that the function represents a true quadratic equation.

In a quadratic function of the form f(x) = ax^2 + bx + c, the coefficient "a" represents the leading coefficient or the coefficient of the quadratic term. This coefficient determines the shape of the graph and whether the function represents a quadratic equation.

When a = 0, the quadratic term becomes zero, resulting in a linear function (f(x) = bx + c) rather than a quadratic function. In other words, without the condition a ≠ 0, the function would degenerate into a straight line, losing the key characteristics and properties associated with quadratic equations, such as the presence of a vertex, concavity, and the ability to intersect the x-axis at most two times.

By imposing the condition a ≠ 0, we ensure that the quadratic function represents a genuine quadratic equation, allowing us to study and analyze its properties, such as the vertex, axis of symmetry, roots, and the behavior of the graph. It helps distinguish quadratic functions from linear functions and ensures that we are working with the appropriate mathematical model when dealing with quadratic relationships and phenomena.

Step-by-step explanation: