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4 years ago

16x3 + 16x2 + 19x + 12 is divided by 4x + 3?

Mathematics

1 answer:

alexandr1967 [171]4 years ago

7 0

(16^3 + 16x^2 + 19x + 12) / (4x + 3). Start by factoring the numerator.

(4x + 3) (4x^2 + x + 4) / (4x + 3). Since (4x + 3) is a term in both the numerator and the denominator, we can cancel them out.

You're left with: 4x^2 + x + 4.

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There are 60 bottles of juice in the grocery store of these 24 are apple what percent of the bottles are apple

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Answer:

%2.5

Step-by-step explanation:

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3 years ago

Solve the system by substitution x=4y-7 2x+9y=-31

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Answer:

simple follow me

Step-by-step explanation:

2(4y-7)+9y=-31

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3 years ago

2. Find the area of the sector. Use 3.14 for pi Round answer to one decimal place

Amanda [17]

Answer:

Step-by-step explanation:

area of sector = {Ф ( in degrees)/360}πr²

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3 years ago

You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each nig

brilliants [131]

Answer:

Confidence interval

$8.98-2.2\frac{1.29}{\sqrt{12}}=8.16$

$8.98+2.2\frac{1.29}{\sqrt{12}}=9.80$

And the margin of error would be:

$ME=2.2\frac{1.29}{\sqrt{12}}=0.819$

Step-by-step explanation:

For this case we have the followig dataset:

DATA: 8.2; 9.1; 7.7; 8.6; 6.9; 11.2; 10.1; 9.9; 8.9; 9.2; 7.5; 10.5

We can calculate the mean and the deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$\bar X= 8.98[/tex[tex]s = 1.29$

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=12-1=11$

The Confidence level is 0.95 or 95%, the value of significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value would be $t_{\alpha/2}=2.20$

Repplacing the info we got:

$8.98-2.2\frac{1.29}{\sqrt{12}}=8.16$

$8.98+2.2\frac{1.29}{\sqrt{12}}=9.80$ And the margin of error would be:

$ME=2.2\frac{1.29}{\sqrt{12}}=0.819$

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3 years ago

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larisa86 [58]

Answer:

Step-by-step explanation:

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3 years ago