Write your own equation in slope-intercept form and graph.

Answer:

I think it is y=-3

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

Answer:

The part of the expression that represents the number of quarters is;

D. 25·(3·x + 1)

Step-by-step explanation:

From the question, we have;

The values of the coins Luis has = Nickels, Dimes and quarters

The expression that represents the value of all the coins in cents is given as follows;

5(x + 2) + 10·1 + 25·(3·x + 1)

The value of a nickel = 5 cents

The value of a dime = 10 cents

The value of a quarter = 25 cents

Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor

Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).

Answer:

(4,1)

Step-by-step explanation:

easiest method is to graph each equation and look for point(s) of intersection

Answer: x=4, y=1.

Step-by-step explanation:

\(\left \bigg \{ {\big{x+y=5} \atop\big {x^{2}-y^{2} =15}} \right.\\\\x+y=5\\x+y-y=5-y\\x=5-y\\\\(5-y)^{2} -y^{2} =15\\5^{2} -10y+y^{2} -y^{2}=15\\25-10y=15\\25-10y-25=15-25\\ -10y=-10\\-10y \div (-10)=-10 \div (-10)\\y=1\\\\x+y=5\\x+1=5\\x+1-1=5-1\\x=4\)

Answer:

The Answer is D

Step-by-step explanation:

there u go

Answer:a

Step-by-step explanation:

Following the order of operations, you can simplify the expressions 7-5 and -5+7 to obtain the result of 2 for both. The order of operations ensures consistent and accurate evaluation of mathematical expressions, maintaining consistency and preventing ambiguity.

Yes, you can simplify the expressions 7-5 and -5+7 using the order of operations.

The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), provides a set of rules to evaluate mathematical expressions.

Let's break down the expressions step by step:

7-5: According to the order of operations, you start by performing the subtraction. Subtracting 5 from 7 gives you 2. Therefore, 7-5 simplifies to 2.

-5+7: Again, following the order of operations, you perform the addition. Adding -5 and 7 gives you 2. Therefore, -5+7 simplifies to 2 as well.

Both expressions simplify to the same result, which is 2. The order of operations allows you to evaluate expressions consistently and accurately by providing a standardized sequence of steps to follow.

It is important to note that the order of operations ensures that mathematical expressions are evaluated in a predictable manner, regardless of the order in which the operations are written. This helps maintain consistency and prevents ambiguity in mathematical calculations.

In summary, by following the order of operations, you can simplify the expressions 7-5 and -5+7 to obtain the result of 2 for both.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Statement: The word "pronoun" comes from "pro" (in the meaning of "substitute") + "noun."

The statement is true.

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Answer:

B. y = 2/3x + 5

Step-by-step explanation:

(3,7) (6,9) Find the distance

(3,2)

Slope: y/x = 2/3x

you can subtract now using slope from one of the coordinates till x is zero so you can find the y-intercept.

(3,7) use slope 2/3x

(0,5)

y-intercept: (0,5)

Write the equation in standard form now that you have the slope and y-intercept.

Slope-intercept form: y = mx + b

Equation: y = 2/3x + 5

Your option is B

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

yes

Step-by-step explanation:

Answer:

4n-10

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

x = 7

Step-by-step explanation:

I used the formula c^2 = a^2 + b^2

if you need further explanation,let me know

(a) correctly describes the relationship between a parameter and a statistic.

The correct description is:

a) A statistic is calculated from sample data and is generally used to estimate a parameter.

In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.

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Answer:

The choose B. 2(2m-1)-8m

Step-by-step explanation:

2(2m-1)-8m = 4m-2 + (-8m)

I hope I helped you^_^

Answer:

y=1/4x+5/2

Step-by-step explanation:

y-y1=m(x-x1)

y-1=1/4(x-(-6))

y-1=1/4(x+6)

y=1/4x+6/4+1

y=1/4x+6/4+4/4

y=1/4x+10/4

y=1/4x+5/2

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A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:

i cant see it

Step-by-step explanation:

cant see it

it is seen that if the number of people in the group is n = 23, the probability that at least two people will have the same birthday is at least 1/2.

Let P(A) be the probability that in a randomly selected group of n people, at least two people have the same birthday.

If we assume that the year has 365 days, then the number of ways to select n people with different birthdays is n x (n-1) x (n-2) x ... x (n-364).

the probability of selecting n people with different birthdays is P(A') = n(n - 1)(n - 2)...(n - 364)/365nThen, the probability that at least two people in a group of n have the same birthday is given by P(A) = 1 - P(A').

We need to find the smallest value of n such that P(A) ≥ 1/2.Let's solve for this.Let us find n such that P(A) ≥ 1/2.

By using the complement rule, 1-P(A') = P(A).Then:1 - n(n - 1)(n - 2)...(n - 364)/365n ≥ 1/2n(n - 1)(n - 2)...(n - 364)/365n ≤ 1/2(2)n(n - 1)(n - 2)...(n - 364) ≤ 365n/2Now, take the natural logarithm of both sides and simplify as follows:ln[n(n - 1)(n - 2)...(n - 364)] ≤ ln[365n/2]nln(n) - ln[(n - 1)!] - ln[(n - 2)!] - ... - ln[2!] - ln[1!] ≤ ln[365n/2]

Therefore, we need at least 23 people in the group for the probability of two or more people having the same birthday to be at least 1/2.

This is because n = 23 is the smallest number for which the inequality holds, and therefore, it is the smallest number of people required to ensure that the probability of two or more people having the same birthday is at least 1/2.

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Answer:

is finding the square root

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.

When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.

The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.

The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.

For example, if you have the number 25 and you want to find its square root, you calculate:

√25 = 5

5 is the square root of 25 because when you square 5 (5^2), you get 25.

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.

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Annual Medical cost = 1269.86

monthly premium cost to Ronald for the Blue Shield plan = $48.48.

For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.

The annual deductible cost = $630.

Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.

He also spent $71 and $95 on two prescriptions during the year.

= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)

= (48.48 x 12) + 630 + (0.35 x 166)

= 1269.86

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The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.

Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}

Sample size n = 10

Applying chi-square statistics with df=n-1=9-1=8

now 95% confidence interval is given by:

= \(\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}\)

= \(\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}\)

=  0.107 ≤ σ² ≤ 0.757

= 0.33 ≤ σ ≤ 0.87

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

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I understand that the question you are looking for is:

The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.

6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7

The value of x for the given polynomial that are similar in nature through which the relation is satisfied is x = 21.

What about similar character?

In mathematics, similarity refers to the property of having the same shape but not necessarily the same size. Two geometric figures are said to be similar if they have the same shape and their corresponding angles are congruent, and the ratio of their corresponding side lengths is constant. This constant ratio is called the scale factor of the similarity.

For example, two triangles are similar if their corresponding angles are congruent, and their corresponding sides are in proportion. That is, if we take one side of the first triangle and divide it by the corresponding side of the second triangle, we get the same ratio as if we took another pair of corresponding sides and divided them. This ratio is the scale factor of the similarity.

According to the given information:

Similar polygons have congruent corresponding angles and proportionate corresponding sides.

To find the lengths of another polygon that is comparable, multiply or divide a polygon's side lengths by a scale factor.

Here, we use the similarity operation  in which the ratio of side are equal in nature.

⇒\(\frac{x-5}{12} = \frac{18}{13.5} = \frac{20}{15}\)

⇒ \(\frac{x-5}{12} = \frac{4}{3} = \frac{4}{3}\)

⇒ \(\frac{x-5}{12} = \frac{4}{3}\)

⇒ \(x = 21\)

So, the value of x for which the given relation is satisfied is x  = 21.

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Answer:

B

Step-by-step explanation:

The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)

Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.

And the two planes are parallel to each other if

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

2(1) + (-4)(8) + 3(10)

= 2 - 32 + 30

= 0

Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

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The number representing a constant from the expression will be 9. Then the correct option is D.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given below.

⇒ 15x² + 2x + 9

If the power of the unknown is zero, then the term will be known as the constant term.

The polynomial can be written as,

⇒ 15x² + 2x + 9

⇒ 15x² + 2x + 9x⁰

The number representing a constant from the expression will be 9. Then the correct option is D.

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