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3 years ago

Using the image below , how many blocks would be in the next figure in the sequence

Mathematics

2 answers:

Gnoma [55]3 years ago

6 0

16 blocks since 2x2 is 4 and 3x3 is 9 then 4x4 is 16.

sergeinik [125]3 years ago

3 0

Answer:

16 blocks

Step-by-step explanation:

the number of blocks increases exponentially

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The Cinemania theater showed 108108108 different movies last year. Of those, 151515 movies were action movies. Based on this dat

Ahat [919]

Answer:

Option B.

Step-by-step explanation:

It is given that,

Last year the total number of movies = 108

Number of action movies = 15

Based on this data, we need to find a reasonable estimate of the probability that the next movie is an action movie.

So, the required probability is:

$\text{Probability}=\dfrac{\text{Number of action movies}}{\text{Total number of movies}}$

$\text{Probability}=\dfrac{15}{108}$

Hence, the correct option is B.

7 0

3 years ago

Read 2 more answers

How to find the vertices of the hyperbole

torisob [31]

The answer is the second one

If you want a fast explanation

You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal

If you check the vertices points those indicates the length of 2a thus thatll be 6

To get the center just use middle point equation and you'll get (1,3)

Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis

A=3

B=?

C=6

We use Pythagoras so

$b = \sqrt{(6) ^{2} - (3) ^{2} }$

Thus you get

$b = \sqrt{27}$

With that data now you can get the equation

You know that below (y-3)^2 there should be a^2 so that means there will be the 9

And in the (x-1)^2 there should be b^2 so that means there will be the 27

PD. The 3 besides y, and 1 besides x represent the center

5 0

3 years ago

Read 2 more answers

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr

Veseljchak [2.6K]

Answer:

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

The extra carbonation of cola results in a higher average compression strength

Step-by-step explanation:

Step(i):-

Given data

First sample size (n₁) = 10

mean of the first sample(x₁⁻) = 537

standard deviation of the first sample (S₁) = 22

second sample size (n₂) = 10

mean of the second sample (x₂⁻) = 559

standard deviation of the second sample (S₂) = 17

Step(ii):-

Null hypothesis : H₀:- The extra carbonation of cola results in a lower average compression strength

Alternative Hypothesis :H₁

The extra carbonation of cola results in a higher average compression strength

Step(iii):-

By using student's t -test for difference of means

Test statistic

  $t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$ 

 where 

  $S^{2} = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2} }{n_{1}+n_{2} -2 }$ 

  $S^{2} = \frac{10(22)^{2} + 10 (17) ^{2} }{10+10 -2 } = \frac{ 7730}{18} = 429.4$ 

  $t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 } } )}$ 

 t = -2.375

|t| = |-2.375| = 2.375

Degrees of freedom

γ = n₁+n₂ -2 = 10+10-2 =18

 $t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009$ 

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

Final answer:-

The extra carbonation of cola results in a higher average compression strength

 

5 0

3 years ago

a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t

True [87]

9514 1404 393

Answer:

3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

7 0

3 years ago

Which expressions is equivalent to (x+2)(3x-3)

max2010maxim [7]

Answer:

Step-by-step explanation:

(x+2)(3x-3)

= 3x^2 -3x + 6x - 6

= 3x^2 + 3x - 6

6 0

3 years ago