parallelograms help!!

Answer:

y=1

x=2

(2,1)

Step-by-step explanation:

x=2y

2x+5y=9​

2(2y)+5y=9

4y+5y=9

9y=9

y=1

x=2(1)

x=2

(2,1)

Answer:

It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )

Step-by-step explanation:

Test using  α = 0.5 to determine whether the median number of part-time employees has increased

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

number of restaurants with exactly 18 part-time employees = 1

first step : ( state the null and alternate hypothesis )

Null hypothesis : ( H0) : median ≤ 18

Alternate hypothesis : ( Ha ) : median ≥ 18

The size of the sample ( n ) can be considered to be 8 because

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

Hence the actual hypothesis that should be tested will be :

H0 : p = 0.5

Ha : p ≠ 0.5

Next apply the binomial distribution to determine the number of + signs

= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )

determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )

P ( ≥ 7 )+ signs  = p(7) +signs  + p(8)+signs

                         = 0.0313 + 0.0039 = 0.0352

Hence the P-value = 0.0352  is < 0.05  hence we will reject the Null hypothesis ( H0 : p = 0.5 )

hence It can be concluded that the median number of part-time employees has increased

The true statement is that, the median number of part-time employees has increased

The given parameters are:

Using a 0.5 test of significance, the null and the alternate hypotheses are:

The sample size (n) is calculated using

[tex]\mathbf{n =n_1 -n_3}[/tex]

So, we have:

[tex]\mathbf{n =7 --1}[/tex]

[tex]\mathbf{n =8}[/tex]

The mean of the distribution is:

[tex]\mathbf{\bar x = np}[/tex]

This gives

[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]

[tex]\mathbf{\bar x = 4}[/tex]

Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.

This is calculated as:

[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]

Using the binomial probability table, we have:

[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]

[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]

By comparison,

When the p-value is less than the level of significance, then we will reject the Null hypothesis

Hence, it can be concluded that the median number of part-time employees has increased

Read more about probabilities at:

https://brainly.com/question/6476990

Part (a)

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Work Shown:

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

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

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

Part (b)

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Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

Answer:

35 v 3 ? − 21 v 2 ? − 5 v 3 − 28 v ? + 13 v 2 − 2 v − 8

Answer:

Rate of change = $25 per day

Step-by-step explanation:

Since, rate of change of the data given in the table is constant graph will be a linear graph.

Rate of change of the line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Graph passes through two points (3, 75) and (4, 100)

Rate of change = [tex]\frac{100-75}{4-3}[/tex]

                          = 25

Here rate of change defines the change in cost per day.

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Answer: 90%

Step-by-step explanation:

3/30= not working

This means that 27/30 computers are working.

To find the percentage divide each number by a number that both numbers are divisible by.

In this case both numbers can be divided by 3, and your number will now be 9/10. You can then multiply this number by 10, so your number is now 90/100 which equals 90%

If I understand this right:

3/4=24

24/3=8

8*4=32

You divide the number by the numerator, and then multiply that number by the denominator.

If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18

Answer: g(x) = 6*x^2 + 15

Step-by-step explanation:

Suppose that we have a function y = f(x)

A vertical stretch by a factor of K is written as:

g(x) = K*f(x).

In this case, we have f(x) = 2*x^2 + 5.

And we know that g(x) is a f(x) after a stretch by a factor of 3.

Then we get:

g(x) = 3*f(x) = 3*(2*x^2 + 5) =  3*2*x^2 + 3*5 = 6*x^2 + 15

g(x) = 6*x^2 + 15

Answer:

2: 7:10 3: 6:14

Step-by-step explanation:

There are 7 blue marbles and 10 are green

There are 6 circles and 14 hearts

Answer:

circumference = 301.44

area =7,234.56

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

96 x 3.14 = 301.44

area = 3.14r^2

radius = d/2

radius = 48

3.14(48^2)

area =7,234.56

Answer:

819

Step-by-step explanation:

Answer:

where is the rest of the question, how much was each calculator?

Answer: 5

Step-by-step explanation:

4x + 10- 25

To distribute, multiply 9 times 2n plus 9 times 1.

9*2n+9*1

18n+9 is your final answer.

Step-by-step explanation:

Answer:

I believe its £18.30. If not sorry.

Step-by-step explanation:

Answer:

Step-by-step explanation:

25

Answer:

Step-by-step explanation:

3/4

Answer:

3/8

Step-by-step explanation:

first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

Answer:

r>12    or    r<−4

Step-by-step explanation:

Answer:

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