A circle is drawn with a center point of q. janelle wishes to construct a tangent to the circle that passes through point b. she starts by connecting points q and b to form line segment bq.



what is the best next step when constructing a tangent to the circle?

a
strike an arc on bq with a center of b that has a length the same as the radius of circle q.

b
draw a line straight down from point q to the bottom of the circle.

c
extend bq through the other side of the circle.

d
find the midpoint of bq.

The value of z* is 1.96 for a 95% confidence level, and the standard error is calculated using the sample size and sample standard deviation,

To construct a 95% confidence interval for a population mean, we need to determine the corresponding z-score that gives us a 95% area under the standard normal distribution curve between -z* and z*.

Using a standard normal distribution table or calculator, we can find that the z-score that corresponds to a 95% confidence level is approximately 1.96.

This means that to construct a 95% confidence interval for the population mean, we would use a z-score of 1.96 in our calculations. The confidence interval would be calculated as:

CI = sample mean ± (z* * standard error)

where z* is 1.96 for a 95% confidence level, and the standard error is calculated using the sample size and sample standard deviation. The resulting interval would contain the true population mean with 95% confidence.

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The maximal value of the sample covariance is \(sx*sy\), which represents the highest correlation possible between X and Y.

The formula for the sample covariance between X and Y is given by \(cov(X,Y) = (1/(n-1)) Σ (xi - xmean)(yi - ymean)\). The maximal value for the sample covariance is equal to the product of the standard deviations of X and Y, which can be calculated using the formula \(sx*sy = (1/(n-1)) Σ (xi - xmean)^2 * (1/(n-1)) Σ (yi - ymean)^2\). Using the Cauchy-Schwarz Inequality, we can know that \(cov(X,Y) < = sx*sy\). Therefore, the maximal value of the sample covariance is sx*sy, which represents the highest correlation possible between X and Y.

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Answer:

The value of the car at the end of 3 years will be $13707.

Step-by-step explanation:

If the original value of the car is $20000, then after the first year, the value of the car will be $20000 - (12/100)*$20000 = $17600.

After the second year, the value of the car will be $17600 - (12/100)*$17600 = $15552.

After the third year, the value of the car will be $15552 - (12/100)*$15552 = $13707.

Therefore, the value of the car at the end of 3 years will be $13707.

Answer:

22.75 .

Step-by-step explanation:

65 x 35  / 100 = 22.75.

The percentage expression 65% of 35 is 22.75

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

65% of 35

Express as products

So, we have the following representation

65% of 35 = 65% * 35

Express 65% as 0.65

So, we have the following representation

65% of 35 = 0.65 * 35

Evaluate the products

So, we have the following representation

65% of 35 = 22.75

Hence, the solution is 22.75

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Answer:

$23.26

Step-by-step explanation:

Complete Question:

Maria rode her bike for three-fifths of a mile on Monday and one-fifth of a mile on Tuesday. How many miles did she ride altogether?

Group of answer choices.

A. 1/5

B. 3/10

C. 7/5

D. 4/5

Answer:

D. 4/5

Step-by-step explanation:

Given the following data;

Distance covered on Monday, D1 = 3/5 miles

Distance covered on Tuesday, D2 = 1/5 miles

Total distance covered, Td = D1 + D2

Substituting into the equation, we have;

\( Td = \frac {3}{5} + \frac {1}{5}\)

Lowest common denominator (LCD) = 5

\( Td = \frac {3 + 1}{5} \)

Td = 4/5 miles.

Therefore, Maria rode 4/5 miles altogether.

(3-x) = -(x-3), so we have: ((x-3)/((x-3)) * ((x+1))/?) = x + 1. This simplifies to:-((x+1)/?) = x + 1. So, we can conclude that missing number = -1.

Given the expression (3-x)/(x^2 + 3x - 18) divided by (?)/(x^2 + 7x + 6) = x + 1, we need to find the value of "?".

First, let's simplify the given expression. We can factor the denominators of both fractions:

(x^2 + 3x - 18) = (x-3)(x+6)
(x^2 + 7x + 6) = (x+1)(x+6)

So, the expression becomes (3-x)/((x-3)(x+6)) divided by (?)/((x+1)(x+6)).

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

(3-x)/((x-3)(x+6)) * ((x+1)(x+6))/?

Now, notice that the (x+6) terms in both the numerator and the denominator will cancel out:

(3-x)/((x-3)(x+6)) * ((x+1)(x+6))/? = (3-x)/((x-3)) * ((x+1))/?

Since the given expression equals x + 1, we can equate them:

(3-x)/((x-3)) * ((x+1))/? = x + 1

Now we can see that (3-x) = -(x-3), so we have:

-((x-3)/((x-3)) * ((x+1))/?) = x + 1

This division simplifies to:

-((x+1)/?) = x + 1

So, we can conclude that ? = -1.

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the answer is 1.32503237E+22

Step-by-step explanation:

I hope this help

a. The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit is approximately 20%.

c. The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized is approximately 0.28%.

a. To calculate the regular rate of markup on cost, we need to find the difference between the selling price and the cost, and then calculate the percentage markup based on the cost.

Let's denote the cost as C.

Selling price = Cost + Markup

$1,690 = C + (26% of C)

To find the cost:

$1,690 = C + 0.26C

$1,690 = 1.26C

C = $1,690 / 1.26

C ≈ $1,341.27

Markup on cost = Selling price - Cost

Markup on cost = $1,690 - $1,341.27

Markup on cost ≈ $348.73

Rate of markup on cost = (Markup on cost / Cost) * 100

Rate of markup on cost = ($348.73 / $1,341.27) * 100

Rate of markup on cost ≈ 26%

The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit can be calculated by finding the difference between the original selling price and the clearance price, and then calculating the percentage markdown based on the original selling price.

Original selling price = $1,690

Clearance price = $1,345

Markdown = Original selling price - Clearance price

Markdown = $1,690 - $1,345

Markdown = $345

Rate of markdown on the demonstrator unit = (Markdown / Original selling price) * 100

Rate of markdown on the demonstrator unit = ($345 / $1,690) * 100

Rate of markdown on the demonstrator unit ≈ 20%

The rate of markdown on the demonstrator unit is approximately 20%.

c. Operating profit or loss on the demonstrator unit can be calculated by finding the difference between the clearance price and the cost.

Cost = $1,341.27

Clearance price = $1,345

Operating profit or loss = Clearance price - Cost

Operating profit or loss = $1,345 - $1,341.27

Operating profit or loss ≈ $3.73

The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized can be calculated by finding the difference between the actual selling price (clearance price) and the cost, and then calculating the percentage markup based on the cost.

Actual selling price (clearance price) = $1,345

Cost = $1,341.27

Markup on cost that was actually realized = Actual selling price - Cost

Markup on cost that was actually realized = $1,345 - $1,341.27

Markup on cost that was actually realized ≈ $3.73

Rate of markup on cost that was actually realized = (Markup on cost that was actually realized / Cost) * 100

Rate of markup on cost that was actually realized = ($3.73 / $1,341.27) * 100

Rate of markup on cost that was actually realized ≈ 0.2781% ≈ 0.28%

The rate of markup on cost that was actually realized is approximately 0.28%.

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The difference in Adult cats a the pet care center on Monday and Saturday is 3.

ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

let the total number of cats be p.

total shares = 4 + 3 which is 7

number of ca on Saturday = 3/7 x p

so that

3/7 x p = 24

3p/7 = 24

cross multiply

3p = 24 x 7

3p = 168

p = 168/3

p = 56

Number of Adult cats = 56 - 24 which is 32

difference in number of cat between Saturday and Monday is 35 - 32 = 3

In conclusion 3 is the difference between the number of Adult cats on Saturday and Sunday

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Answer:

8

Step-by-step explanation:

as side of square are equal

3x=5x-16

3x+16=5x

16=5x-3x

16=2x

16÷2=x

8=x

therefore value of x is 8

Answer:

x=8

Step-by-step explanation:

The sides on a square measure the same

so

5x-16 = 3x

2x=16

x=8

The statement that correctly shows the relationship between both expressions is

f(2) >  g(2)

The given equation is

f(x) = 2x⁴  and

g(x) = 4 x 2ˣ

plugging in 2 for x in both expressions

f(x) = 2x⁴  

f(2) = 2 * (2)⁴  

f(2) = 2 * 16

f(2) = 32

Also

g(x) = 4 x 2ˣ

g(2) = 4 x 2²

g(2) = 4 * 4

g(2) = 16

hence comparing both we can say that

f(2) = 32 is greater than g(2) = 16

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Answer:

3 1/4 + 2x ≥ 6

Step-by-step explanation:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

I hope this helps you :)

Answer:

three and one fourth + 2x ≥ 6

Step-by-step explanation:

she has to do more than or equal to 6 hours and she already did three and one fourth

P.S. i already did this test this is the correct answer

The altitudes, the medians, and the angle-bisectors are distinct for the congruent sides but coincident for the base. Hence, 7 lines.

Now, According to the question:

Altitude. A line segment joining a vertex of a triangle with the mid-point of the opposite side. An altitude is a perpendicular line segment drawn from a vertex of a triangle to the opposite side. It divides the opposite sides into two equal parts.

A Median of a triangle is a straight line segment which is drawn from the vertex of a triangle to the middle point of the opposite side. It splits the opposite side of the triangle into two equal line segments. That means we know that it's a median if we have got those equal line segments.

The altitudes, the medians, and the angle-bisectors are distinct for the congruent sides but coincident for the base. Hence, 7 lines.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

170 minutes

Step-by-step explanation:

So if there was two 45 min work outs in a week and she left those 10 mins early that was two 35 min work outs and then there was 4, 30min work outs and she left those 5 mins early so 4, 25min workouts so its 35+35+25+25+25+25.

Answer:

????

Step-by-step explanation:

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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The equations are solved and the old account balance for Account #4 is given by A = - $ 30

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Acc #    Old Acc Balance ($)      Trans Amount ($)      New Acc Balance($)

1                       352                                       -48                      304

2                      432                                      +80                      512

3                       75                                       -100                     -25

4                       -30                                        52                       12

5                      -10                                        -20                     -30

So , the old account balance for the account number 4 is -30

Hence , the equation is A = - $ 30

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Answer:

I hope this helps

Step-by-step explanation:

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.

The total cost of the DVDs after the markup, given an original price of $40, is $50.

To simplify the expression C + 0.25c, we can combine like terms.

C + 0.25c = (1 + 0.25)c = 1.25c

Therefore, the simplified expression is 1.25c.

To determine the total cost of the DVDs after the markup, we need to substitute the original price of $40 into the simplified expression.

Total cost = 1.25c

Since the original price is $40, we can substitute c = 40 into the expression:

Total cost = 1.25 * 40

Total cost = $50

Therefore, the total cost of the DVDs after the markup, given an original price of $40, is $50.

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Answer:

13

Step-by-step explanation:

distance formula:

=\(\sqrt{(y2-y1)^{2}+(x2-x1)^{2} }\)

=\(\sqrt{(5--2)^{2}+(-5-6)^{2} } \\\sqrt{170} \\13\)

The age of Marcus now is 20 years as 8 years ago Marcus was 12 years old.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical sentence with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol. 2x - 4 = 2 is an example. x is a variable in the preceding example.

Let his age now be x.

x-8=12

x=20

Marcus is currently 20 years old, although he was 12 years old eight years ago.

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Answer:

It would be C or O hope this helped

Answer:

15, 21, 27

Step-by-step explanation:

\(a_n}\) = \(a_{1}\) + (n-1)d  

\(a_{n}\) is the number in the sequence we are looking for

\(a_{1}\)  This is the first term in the sequence that we do not know and we are looking for

n stands for the number of the term and d is the common difference.  We will put in all that we know and solve for the first term.

609 = \(a_{1}\) + (100-1)6  

609 =\(a_{1}\) + (99)6

609 = \(a_{1}\) + 594  Subtract 594 from both sides of the equation

15 = \(a_{1}\)

Now that we know that the first term is 15 we just add 6 to get the next term which is 21 and then add 6 again to get the last term 27.

Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
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Given:

Yamir is twice as old as Pato.

In three years, the sum of their ages will be 30.

Pato's current age is represented by \(a\).

To find:

The equation that could be used to correctly solve for \(a\).

Solution:

We know that, Pato's current age is represented by a, then

Yamir's age = \(2a\)

After three years,

Pato's age = \(a+3\)

Yamir's age = \(2a+3\)

In three years, the sum of their ages will be 30.

\((a+3)+(2a+3)=30\)

\((a+2a)+(3+3)=30\)

\(a+2a+6=30\)

Therefore, the correct option is 2.

Answer:

B i think

Step-by-step explanation:

Answer: = 6.109 × 107

Answer: 6.109 x 10^7

Step-by-step explanation: I think