Find the greatest common factor of the
following monomials:
39c^2
9c^3'

Solution :

[tex]$H_0: p = 0.5$[/tex]

[tex]$H_a: p > 0.5$[/tex]

Alpha, α = 0.01

The sample proportion is :

[tex]$p'=\frac{x}{n}$[/tex]

   [tex]$=\frac{513}{806}$[/tex]

   = 0.636

Test statistics, [tex]$z=\frac{p'-p}{\sqrt{\frac{pq}{n}}}$[/tex]

[tex]$z=\frac{0.636-0.5}{\sqrt{\frac{0.5\times 0.5}{806}}}$[/tex]

[tex]$z=\frac{0.136}{0.0176}$[/tex]

z = 7.727

The p value = 0.00001

Here we observe that p value is less than α, and so we reject the hypothesis [tex]H_0[/tex].

Therefore, there is sufficient evidence,

Answer:

3 ways.

Step-by-step explanation:

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

2 meats from a set of 3(steak, fish or chicken). So

[tex]C_{3,2} = \frac{3!}{2!1!} = 3[/tex]

3 ways.

Answer:

P = 24

Step-by-step explanation:

Since all the sides are the same length, the shape is a square.

Multiply all sides by 6.

6 cm x 4 sides = 24

We should multiply the expression by √11/ √11 fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize this, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 2-√10 and its conjugate is; (2+√10).

(2√10)/(3√11) = (2√10)/(3√11)

                      =  ((2√10)√11/(3√11) √11

                =    (2√110)/33

This is the rationalized expression.  

Learn more about multiplications;

brainly.com/question/14059007

#SPJ7

Answer: 53.2

Step-by-step explanation:

Using pythagorean theorem, a^2 + b^2 = c^2

40^2 + 35^2 = sqrt of 2825

which is 53.15

rounded up to nearest tenth is 53.2

Answer:

x + 11 is an even number.

Step-by-step explanation:

Even numbers can only be obtained from the sum of two odd numbers or two even numbers. Since we know that x + 7 is even, x + 11 must be even as well.

Answer:

236m^2

Step-by-step explanation:

8x5=40x2=80

6x5=30x2=60

6x8=48x2=96

80+60+96=236

Answer:

The answer is 4 1/2

Step-by-step explanation:

Because A to C is 2 1/4 so all you have to do add 2 1/4 + 2 1/4 which will equal 4 1/2

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°

Answer:

0.0049 = 0.49% probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is:

[tex]M = n\mu[/tex]

[tex]s = \sigma\sqrt{n}[/tex]

Mean of 4 minutes, standard deviation of 0.5 minutes:

This means that [tex]\mu = 4, \sigma = \sqrt{0.5}[/tex]

30 days:

[tex]M = 30(4) = 120[/tex]

[tex]s = \sqrt{0.5}\sqrt{30} = \sqrt{0.5*30} = \sqrt{15}[/tex]

What is the probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month (30 days)?

2 hours and 10 minutes is 2*60 + 10 = 130 minutes, so this probability is 1 subtracted by the p-value of Z when X = 130. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this context, due to the 30 instances of the normal variable:

[tex]Z = \frac{X - M}{s}[/tex]

[tex]Z = \frac{130 - 120}{\sqrt{15}}[/tex]

[tex]Z = 2.58[/tex]

[tex]Z = 2.58[/tex] has a p-value of 0.9951.

1 - 0.9951 = 0.0049

0.0049 = 0.49% probability that I spend more than 2 hours and 10 minutes waiting for the bus in one month.

Answer:

C. 395.1

Step-by-step explanation:

Substitute the value for x:

[tex]V=0.95(8)^{2.9}\\V=395.1[/tex]

Answer:

Reflective symmetry over the line y = 4 is No

Reflective symmetry over the line y = 1/7x + 3 is Yes

Answer:

The surface area of the triangular prism is 84 square centimeters.

Step-by-step explanation:

The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.

Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.

But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:

The two congruent triangular bases:

1/2 x 4 x 3 = 6 cm^2

6 x 2 = 12 cm^2

Lateral bottom rectangular face:

6 x 3 = 18 cm^2

Lateral to the right rectangular face:

5 x 6 = 30 cm^2

Lateral to the left rectangular face:

4 x 6 = 24 cm^2

Add up all the values:

12 + 18 + 30 + 24 = 84

The SA is 84 square centimeters

Answer:

C)

Step-by-step explanation:

Just see the length of the R line, A and B are almost the same large when you add them.

( x - 2 )( x - 8 )( x + 5 ) =

( x^2 - 10x + 16 )( x + 5 ) =

x^3 - 10x^2 + 16x + 5x^2 - 50x + 80 =

x^3 + ( - 10 + 5 )x^2 + ( 16 - 50)x + 80 =

x^3 - 5x^2 - 34x + 80

Answer:

A company or an entrepreneurial entity engaged in commercial, industrial, or professional activity is referred to as a business. A limited liability company (LLC), a sole proprietorship, a corporation, and a partnership are examples of different types of businesses.

Answer:

A. 4

Step-by-step explanation:

The diagonals are also congruent to each other. Diagonals of a square bisect each other. This implies that:

MO bisects LN, thereby dividing LN into two equal segments, LG and GN.

Thus, LG = GN.

Since the length of LG = 4, therefore:

GN = 4

9514 1404 393

Answer:

  3.6481 years

Step-by-step explanation:

The doubling time is not a function of the amount invested. It can be found by considering the account balance multiplier:

  2 = e^(rt) = e^(0.19t)

Taking logs, we can solve for t:

  ln(2) = 0.19t

  t = ln(2)/0.19 ≈ 3.6481431

Rounded to 4 decimal places, the doubling time is 3.6481 years, for either balance.

Answer:

For octagon =1080.......

Explanation:

180(8-2)

180×6

1080°

Answer:

Step-by-step explanation:

When you are asked to find the union of sets you find numbers that are present in both sets.

So a number that appears in both the sets of M and N are 2 and 8.

So M U N = { 2,8} where U is the symbol for union.

Answer:

1 and 1/25

Step-by-step explanation:

Answer:

I cannot understand this question

Step-by-step explanation:

I don't know what is in the question

Answer:

3

Step-by-step explanation:

chain by chain

parllel

series

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

Explanation:

Let x be the mass of the lead, and this mass is in kg.

The ratio 13:6:1 can be scaled up to 13x:6x:1x after multiplying all parts by x.

The portion in the middle (6x) represents how much zinc we have, while the last part (1x or simply x) is the amount of lead.

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

We're told that we have 90 kg of zinc. Set this equal to 6x and solve for x

6x = 90

6x/6 = 90/6 ..... dividing both sides by 6

x = 15

So we have 15 kg of lead

Side note: we also have 13x = 13*15 = 195 kg of copper.

Answer:

Line of Symmetry i think

Line of symmetry best describes the line that divides a design so that every point on one side of the line coincides with a point on the other side of the line.

Coordinate Geometry (or the analytic geometry) describes the link between geometry and algebra through graphs involving curves and lines.

A line of symmetry is a line that divides a figure into two congruent parts such that if one part is folded over the line of symmetry, it will coincide with the other part.

In other words, each point on one side of the line of symmetry is equidistant from the line as the corresponding point on the other side of the line.

The line that divides a design so that every point on one side of the line coincides with a point on the other side of the line is called the Line of Symmetry.

Hence,  line of symmetry best describes the line that divides a design so that every point on one side of the line coincides with a point on the other side of the line.

To learn more on Coordinate Geometry click:

https://brainly.com/question/18269861

#SPJ7

Answer:

[tex]E = 0.0158[/tex]

Step-by-step explanation:

Given

[tex]n = 5900[/tex]

[tex]x = 1770[/tex]

[tex]CI = 99\%[/tex]

Required

The margin of error (E)

First, calculate proportion p

[tex]p = x/n[/tex]

[tex]p = 1770/5900[/tex]

[tex]p = 0.3[/tex]

Given that:

[tex]CI = 99\%[/tex]

Calculate the alpha leve;

[tex]\alpha = 1 - CI[/tex]

[tex]\alpha = 1- 0.99[/tex]

[tex]\alpha= 0.01[/tex]

Divide by 2

[tex]\alpha/2= 0.01/2[/tex]

Subtract from 1

[tex]1 - \alpha/2= 1 - 0.01/2[/tex]

[tex]1 - \alpha/2= 0.995[/tex]

The corresponding z value is:

[tex]z =2.576[/tex]

So, the margin of error is:

[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]

So, we have:

[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]

Using a calculator, we have:

[tex]E = 0.01577471394[/tex]

Approximate

[tex]E = 0.0158[/tex]