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kotegsom [21]
3 years ago
13

Factor the polynomial using the pattern X^2+9x+18

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

(x+6)(x+3)

Step-by-step explanation

What adds to 9 and mutiplies to 18 6 and 3 so then you split 9 into 3x and 6x then take parts x^2+3x    6x+18  

                       x(x+3)          6(x+3)

                                 x+6 x+3

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The product of two consecutive whole numbers is less than the sum of the square of the smaller number and 13
Norma-Jean [14]

Answer: a<13

Step-by-step explanation:

a*(a+1)<a^2+13

a^2+a<a^2+13

subtract a^2 from both sides:

a<13

8 0
3 years ago
Give 3 values for x that make the inequality true. x &lt; 3
Liono4ka [1.6K]

Answer:

2, 1, 0

Step-by-step explanation:

they are less than 3 (Please mark brainliest)

5 0
3 years ago
Need #5 and #6 please
Serjik [45]

Answer:

Step-by-step explanation:

6 0
2 years ago
Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance
ElenaW [278]

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

<h3>A. How to state the hypothesis</h3>

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

<h3>B. standard error </h3>

\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

Read more on statistics here brainly.com/question/7597734

#SPJ1

4 0
2 years ago
The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
4 years ago
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