(c−9)2−(4c−2)2 factor

Answer:

[tex] x = 4 [/tex]

Step-by-step explanation:

Since the diagonals of a parallelogram bisects each other, therefore:

[tex] x + 1 = 2x - 3 [/tex]

Collect like terms

[tex] x - 2x = -1 - 3 [/tex]

[tex] -x = -4 [/tex]

Divide both sides by -1

[tex] x = 4 [/tex]

Answer:

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Answer:

the best way to learn maths is by regular hard work and by practicing of maths daily

Answer: A. S(n) =11+4n

Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.

Answer: rate this 5 stars or your gay

Step-by-step explanation:

Just do it

Answer:

The researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program

Step-by-step explanation:

Here, we want to state what the conclusion of the researcher should be:

From the last part of the question, we can see that the test statistic is greater than the critical value

So what do we do in a case like this?

We can see that the researcher is trying to see if there is a correlation between hours worked out and the number of pounds lost over a specific period of time.

Now, let us form the null hypothesis;

The null hypothesis here H0 is that we do not have a correlation between number of hours spent working out and the amount of pounds lost

The alternative hypothesis here H1 is that there is a correlation between the number of hours spent working out and the amount of pounds lost

Since we have the value of the test statistic greater than the critical value, we reject the null hypothesis and accept the alternative hypothesis

So therefore, the researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program

Answer:

$25 a lamp

Step-by-step explanation:

First divide $10,000  by 500 lamps to find how much one of them cost

That is $20 a lamp so then multiply .25 *20 or 1/4 *20

you get 5 than add 20 +5=25

Given that,

The area of a rectangular dining table = 9000 sq ft

Solution,

Let the width is b ft. Length is 20 less then four time the width.

Length = (4b-20) ft

The formula for the area of a rectangle is given by :

A = lb

Substitute all the values,

[tex]9000=b(4b-20)\\\\4b^2-20b-9000=0\\\\\text{It is a quadratic equation, when we solve it we get :}\\\\b=50,-45\ feet[/tex]

Neglecting negative value, b = 50 ft

Length, l = (4(50)-20)

l = 180 ft

So, the length is 180 ft and width is 50 ft.

Answer:

The answer to your question is given below

Step-by-step explanation:

From the question given above, the mean score is 23.

Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:

Mean deviation = | mean – Score |

Mean = 23

For Score 21:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 21 | = 2

For Score 22:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 22 | = 1

For Score 28:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 28 | = 5

For Score 29:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 29 | = 6

SUMMARY:

Score >> Mean >> Absolute deviation

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

28 >>>>> 23 >>>>> 5

29 >>>>> 23 >>>>> 6

Answer:

#6-

1. 9x30=(9x10)+(9x10)+(9x10)

2. 9x30=9(10+10+10)

3. 9x30=270

#7-

1. 7x50=7x(10+10+10+10+10)

2. 7x50=7x(25+25)

3. 7x50=350

#8-

1. 2x90=(2x45)+(2x45)

2. 2x90=90+90

3. 2x90=180

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

The null and the alternative hypothesis are:

[tex]\mathbf{ H_o: \rho = 0} \\ \\ \mathbf{H_1: \rho \ne 0}[/tex]

The test statistics is as follows:

[tex]t = \dfrac{r\sqrt{n-2} }{\sqrt{1-r^2}}[/tex]

[tex]t = \dfrac{0.4 \sqrt{30-2} }{\sqrt{1-0.4^2}}[/tex]

[tex]t = \dfrac{0.4 \sqrt{28} }{\sqrt{0.84}}[/tex]

t = 2.3094

The critical value

[tex]t_{\alpha/df} = t_\ \{0.05/2 \ , \ 30-2 \} } \\ \\ = t_{0.025,28} = \pm 2.048 ( from \ the \ t-tables)[/tex]

Decision rule:

To reject [tex]H_o[/tex] if t > [tex]t_{\alpha/df}[/tex].

So since t > [tex]t_{\alpha/df}[/tex]. we reject [tex]H_o[/tex] at ∝ = 0.05

Conclusion: There is sufficient evidence to conclude that blood pressure and patient calcium are linearly related.

Answer:

just like you did it all right before the text was released

Answer:

1 percent of 250? = 27.5.

Step-by-step explanation:

Answer:

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Answer:

-3n = 27

Step-by-step explanation:

Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

Total number of seat =?

From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e

24 + 27 + 30 +...

Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:

First term (a) = 24

Common difference (d) = 2nd term – 1st term

Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

S₂₈ = 14 [48 + 81]

S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

Answer: [tex]d = 103.23 miles[/tex] apart.

Step-by-step explanation:

given data:

ship a = 20miles. = 60miles

ship b = 28miles. = 84miles

time interval = 3hrs.

θ = 90

[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]

[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]

[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-0[/tex]

[tex]d = \sqrt{10656[/tex]

[tex]d = 103.23 miles[/tex]

Answer:

[tex]9.8704 * 10^1[/tex]

Step-by-step explanation:

The standard form is called the scientific notation expressed generally as;

[tex]A * 10^n[/tex]

A is an integer between 1 and 10

n is ant integer or fraction

Given the decimal value 98.704, we ill shift the decimal point to the back once to have;

98.704 = [tex]9.8704 * 10^1[/tex]

Note the when the decimal point is shifted backwards the value of n is always positive. Hence the expansion in power of 10 is [tex]9.8704 * 10^1[/tex]

Answer:

well there are eight total red cookies and there been two that had been bitten out of already that makes the ration 2:8

Answer:

86.36%

Step-by-step explanation:

Answer:

116%

Step-by-step explanation:

990% of 855 = 1.15789473684  or

= about 116%

Answer:

well, y 2x+4 has to be y^2x+4

Answer/Step-by-step explanation:

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle.

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

Solving algebraically, x can be found as follows:

132° = 3x + 54°

132° - 54° = 3x (subtraction property of equality)

78° = 3x

78°/3 = 3x/3 (division property of equality)

26 = x

x = 26

Answer:

Va entre-3y-4

Step-by-step explanation:

Step-by-step explanation:

split the area between -1 and 0 into four parts

it'll be the part closest to -1

Answer:

t = 3/16

Step-by-step explanation:

Solve the proportion fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction

From the above question, we are to solve for t

The above expression is written Mathematically as:

15t/5 = 2t + 3/6

We cross Multiply

15t(6) = 5(2t + 3)

90t = 10t + 15

Collect like terms

90t - 10t = 15

80t = 15

t = 15/80

t = 3/16

Answer:

5 bags

Step-by-step explanation:

Answer:

She received $18.11

Step-by-step explanation:

25.63-7.52= $18.11

Answer:

8. $18.11

10. 71

Step-by-step explanation:

25.63 - 7.52 = 18.11

90 - 19 = She is old. JK

90 - 19 = 71

Answer is 7.b  because of the angles

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

[tex]\mu = np = 50 \times 0.5 \\ \\ \mu= 25[/tex]

[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536[/tex]

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, [tex]\mu[/tex] = 25, [tex]\sigma[/tex] = 3.536

Using the z test statistics;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

[tex]z = \dfrac{30.5 - 25}{3.536}[/tex]

[tex]z = \dfrac{5.5}{3.536}[/tex]

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation: