What is the median of this set of data? 1,2,5,6,9

Based on the information given, it can be deduced that the markup of the birdhouse is 150%.

From the question given, it was stated that Max's Woodworking $16 to build each birdhouse and that he sold the birdhouses for $40.

Therefore, the markup percentage will be:

= (40 - 16)/16 × 100

= 24/16 × 100

= 150%

Therefore, the markup is 150%.

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Answer:

8.2 miles per minute

Step-by-step explanation:

Given

See attachment for graph

Required

The rate of Tyler's graph

This means that we calculate the slope (m) of the graph using:

\(m = \frac{y_1 - y_2}{x_1 - x_2}\)

So, we have:

\((x_1 ,y_1) = (0,0)\)

\((x_1 ,y_1) = (1,8.2)\)

So, we have:

\(m = \frac{y_1 - y_2}{x_1 - x_2}\)

\(m = \frac{0 - 8.2}{0 - 1}\)

\(m = \frac{-8.2}{- 1}\)

\(m = 8.2}\)

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

Explanation:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

Null hypothesis:H₀:μ > 560

Alternative Hypothesis:H₁ : :μ < 560 (left tailed test)

Test statistic

   \(t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }\)

  \(t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76\)

|t| = |-1.76| = 1.76

Degrees of freedom

γ = n-1 =16-1 =15

\(t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131\)

Conclusion:-

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Answer:

21

Step-by-step explanation:

given : 2 triffles = 7

6 / 2 = 3 so miutiple both side by 3

2 x 3 = 6 and 7 x 3 = 21

6 triffles = 21

OR

Find the cost of 1 triffle:

7 / 2 = 3.5

1 triffle = 3.50

3.50 each x 6 triffles = 21

Answer:

2x − 5

Step-by-step explanation:

To solve, divide the numerator by the denominator.  The result (not including the remainder) will be the equation of the slant asymptote.

We can tell the first term of the quotient will be 2x, so the answer will be either 2x − 5 or 2x − 17/3.

The easiest method here is to simply multiply these by denominator.

(3x² − 1) (2x − 5) = 6x³ − 15x² − 2x + 5

(3x² − 1) (2x − 17/3) = 6x³ − 17x² − 2x + 17/3

So the answer must be 2x − 5.

Alternatively, you can use long division.

Answer:

2x-5

Step-by-step explanation:

f(x)=(6x^3−15x^2+x−4 )/(3x^2−1)

To find the slant asymptote,divide the numerator by the denominator

       2x   +(-15x^2+3x-4)/ (3x^2-1)  

    -5   +   (3x-9)/(3x^2-1)

The divisor is (2x-5) and the remainder is ( 3x-9)

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

4.1 miles

Step-by-step explanation:

simple math

Statements must be true concerning event A and event B are that event A and B are independent and not mutually exclusive.

Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events. Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

Given

The owner of the company believes that: the probability of being awarded the first job (event A) is 0.17.

The probability of being awarded the second job (event B) is 0.5; the probability of being awarded both jobs (A and B) is 0.375.

Statements must be true concerning event A and event B:

Event A and B are independent and not mutually exclusive.

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Answer: 1809.56 let me know if it is right?

Step-by-step explanation:

Answer:

y = 2x + 7

Step-by-step explanation:

y - (-1) = 2(x - (-4))

y + 1 = 2x + 8

y = 2x + 7

Answer:

314.00

Step-by-step explanation:

Answer:

15.70

Step-by-step explanation:

A=r^2

Answer:

5/8

Step-by-step explanation:

2/16=1/8

4/8+1/8=5/8

Answer:

10/16 or 5/8 of the cake

Step-by-step explanation:

Hopes this helps :)

77532 is the total cost to Russell

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Russell Slater bought 700 shares of Disney stock at $106.50 per share

The amount for 700 shares is 700×106.5

74550

commission of 4% of the purchase price.

We have to convert 4% to decimal value by dividing 4 by 100

0.04

Now multiply 0.04 with 74550 to get the commission

0.04×74550

2982

Now add this commission amount with 74550 to find total cost,

2982+74550

77532

Hence, 77532 is the total cost to Russell

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Answer:

hello your question is incomplete attached below is the complete question

answer : The Integrand converges

Step-by-step explanation:

attached below is the detailed solution to the problem

i) the integrand is not continuous on [ 0, 64 ] hence the integrand is improper

ii) determine if the integrand diverges or converges ( attached below )

The integrand is finite and it converges at 16

The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.

Given function:

f(x) = \(\sqrt{x-4}\)

x - 4 = 0

x = 0+4

x = 4

So x is increasing from 4 to infinity.

That is.

4 < x

x < ∞

4 < x < ∞ and 12 < x < ∞

Therefore The intervals that are only increasing throughout the function f(x) = \(\sqrt{x-4}\) is 4 < x < ∞ and 12 < x < ∞.

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Answer:

14,000

Step-by-step explanation:

Based on the given conditions, formulate:  1400 x 620 ÷ 62

Cross out the common factor: 1400 x 10

Calculate the product or quotient: 14000

Find the closest integer: 14000

Answer: 14000

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

Domain: {-3, 0, 1}

Range: {-3, -1, 1, 2}

Step-by-step explanation:

The domain is the set of x-values, and the range is the set y-values.

Answer:

C.

Step-by-step explanation: the domain is all even integers from 0 to 6 hours

The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

It is given that:

The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:

p(x) = 2,400(1.025)×

Plug x = 3 years in the above function.

P(3) = 2400(1.025)³

P(3) = 2400x1.0768

P(3) = 2584.53 ≈ 2584 people

Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

1) A

2) A

3) D

4) B

5) D

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

If any 2 parallel lines are cut by a transversal line , then :-

__________________________________________________________

Q1)

According to the figure on the right side of the question paper ,

So,

∠7 + ∠8 = 180°

⇒ ∠2 + ∠8 = 180°    (∵ ∠2 = ∠7)

Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.

Q2)

According to the figure on the question paper ,

So ,

∠1 + ∠3 = 180°

⇒ ∠5 + ∠3 = 180°  (∵ ∠1 = ∠5)

Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.

Q3)

According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.

Q4)

According to the figure , m∠1 = 129°.

Also , ∠1 & ∠7 are interior angles on the same side.

⇒ They are supplementary angles.

⇒ ∠1 + ∠7 = 180°

⇒ ∠7 = 180° - 129° = 51°

So , the correct option is B.

Q5)

According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20

Also , ∠2 = ∠6 (∵ Corresponding angles are equal)

⇒ 3x - 10 = 2x + 20

⇒ 3x - 2x = 20 + 10

⇒ x = 30

So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)

Hence , the correct option is D.

The equation to represent the situation are as follows:

Company A;

y = 3.25x + 125

Company B;

y = 3x + 150

The miles of travel the total cost will be the same is 100 miles.

Your family needs to rent a car for a week while on vacation. Company A charges $3.25 per mile plus a flat fee of $125 per week. Company B charges $3 per mile plus a flat fee of $150 per week.

Therefore, the equation to express the situation is as follows;

Company A;

y = 3.25x + 125

Company B;

y = 3x + 150

where

The number of miles the travel will cost the same can be calculated as follows:

3.25x + 125 = 3x + 150

3.25x - 3x = 150 - 125

0.25x = 25

x = 25 / 0.25

x = 100

Therefore, the number of miles is 100 miles.

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Answer:

3 + 3x + 15y

Step-by-step explanation:

You may find it easier to write these two expressions into column form:

  (-4+5y-2x)

+ (5x+7+10y)

Combine like terms (do this for constants, x and y terms):

  (-4+5y-2x)

+ (5x+7+10y)

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

 3 + 3x + 15y

Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x+10\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a lline whose slope is 4/3 and it passes through (4 , -8) in standard form

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{4}) \implies y +8 = \cfrac{4}{3} ( x -4)\)

\(y+8=\cfrac{4}{3}x-\cfrac{16}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y+8)=3\left( \cfrac{4}{3}x-\cfrac{16}{3} \right)}\implies 3y+24=4x-16 \\\\\\ 3y=4x-40\implies -4x+3y=-40\implies {\Large \begin{array}{llll} 4x-3y=40 \end{array}}\)

Answer:

Yes they are congruent by SAS (wrong answer)

Edit: the correct answer is by HL

A n s w e r:

Yes, by HL