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SpyIntel [72]
2 years ago
6

Find the 19th term in each sequence. 11, 33, 99, 279

Mathematics
1 answer:
Paladinen [302]2 years ago
8 0

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

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Ray Of Light [21]
What do you mean
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7 0
3 years ago
Several years​ ago, 38​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
Colt1911 [192]

Answer:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values are:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The estimated proportion of people satisfied with the quality of education the students receive is given by:

\hat p =\frac{499}{1165}= 0.428

The confidence interval for the proportion if interest is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing the info given we got:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0
3 years ago
Question 7 of 25 Which of the binomials below is a factor of this trinomial? x - 6x-16 O A. X-1 O B. X-8 OC. X-16 O D. x-2​
kvasek [131]

Answer:

(x-8) is the factor.

Step-by-step explanation:

The given trinomial is x^{2}-6x-16.

We need to find the factor of this trinomial.

x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)

The factors of x^{2}-6x-16 is (x-2) and (x-8).

So, the factor of x^{2}-6x-16 is (x-8). Hence, the correct option is (B).

5 0
2 years ago
❤❤❤please help on this
shtirl [24]

Since you answered the first 2 i can go to c and d.

C can really be anything since it's being multiplied by 0 no matter what you put there it will be 0.

But for D it's 1/10^2

Hope this helps ^^

3 0
3 years ago
The ratio of cats to dogs at the animal shelter is 4 to 5. If there are 45 dogs at the shelter, how many total cats and dogs are
Nat2105 [25]
<h3>Answer:  81</h3>

Work Shown:

x = number of cats

(4 cats)/(5 dogs) = (x cats)/(45 dogs)

4/5 = x/45

4*45 = 5x

180 = 5x

5x = 180

x = 180/5

x = 36

There are 36 cats and x+45 = 36+45 = 81 cats and dogs total.

3 0
3 years ago
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