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3 years ago

Find the value of the greater root of x2 + 10x + 24 = 0.

Mathematics

2 answers:

Wittaler [7]3 years ago

6 0

The answer is x = -17

erastovalidia [21]3 years ago

4 0

Answer:

-6

Step-by-step explanation

The GCF for this problem that gives you 10 is 6 and 4

(x^2+6x) (4x+24)

You can factor out a x from the first equation and a 4 from the 2nd, giving you

(x+4) (x+6)

To solve these, you need to make 0. This means you need to subtract 4 from the first and subtract 6 from the 2. The largest is -6.

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Harlamova29_29 [7]

4440/10 Is the answer

6 0

3 years ago

Read 2 more answers

Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 t

Yanka [14]

Answer:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the number of scissors selected for each friend

$\hat p=\frac{X}{n}$ estimated proportion of scissors selected for each friend

$p_o=\frac{1}{3}=0.333$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion that the friend will pick scissors is less than 1/3 or 0.333, the system of hypothesis would be:

Null hypothesis: $p\geq 0.333$

Alternative hypothesis: $p < 0.333$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

6 0

4 years ago

Simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B8%28x%2B3%29%5E%7B2%7D%7D%7B2%28x%2B3%29%7D" id="TexFormula1" title="\frac{

zaharov [31]

The answer simplified is -148

4 0

4 years ago

Out of 48 job applicants, the manager chose 22 to interview. Did more than half of the applicants get an interview?

aleksandr82 [10.1K]

No, less than half of the applicants got an interview. 1/2 of the applicants would be 24 that would need to be interviewed.

To calculate the percentage: 22/48 x 100. This gives you 45.8% got interviewed.

8 0

3 years ago

It takes 1 minute to bake 7 cookies. How many

Nikolay [14]

Answer:

Step-by-step explanation:

so the problem is 7 cookies in 1 minutes which is 7 x1 but if we want to know how many we have in 2 minutes we would have to multiply by 2 not 1. so we do 7x2 which is 14. 14 cookies in 2 minutes

8 0

3 years ago