Ask question

Ask question

All categories

3 years ago

10

14. m² + m - 90 Trinomial factoring

1 answer:

MaRussiya [10]3 years ago

7 0

Answer:

$\left(m-9\right)\left(m+10\right)$

Step-by-step explanation:

<u><em>Factor</em></u>

<u><em /></u> $m^2+m-90$

<u><em>Rewrite the term</em></u>

<u><em /></u> $m^2-9m+10m-90$

<u><em>Regroup terms into two proportional parts</em></u>

<u><em /></u> $\left(m^2-9m\right)+\left(10m-90\right)$

<u><em>Factor Greatest Common Factors out</em></u>

<u><em /></u> $m\left(m-9\right)+10\left(m-9\right)$
$\left(m-9\right)\left(m+10\right)$

<em>I hope this helps you</em>

<em>:)</em>

You might be interested in

Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of

tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A Sample B

$x_A = 30$ $x_B = 50$

$n_A = 100$ $n_B =250$

Solving (a): Standard error using formula

First, calculate the proportion of A

$p_A = \frac{x_A}{n_A}$

$p_A = \frac{30}{100}$

$p_A = 0.30$

The proportion of B

$p_B = \frac{x_B}{n_B}$

$p_B = \frac{50}{250}$

$p_B = 0.20$

The standard error is:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}$

$SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}$

$SE_{p_A-p_B} = \sqrt{0.00274}$

$SE_{p_A-p_B} = 0.052$

Solving (a): Standard error using bootstrapping.

Following the below steps.

Open Statkey
Under Randomization Hypothesis Tests, select Test for Difference in Proportions
Click on Edit data, enter the appropriate data
Click on ok to generate samples
Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

Sample A Sample B

$x_A = 23$ $x_B = 57$

$n_A = 100$ $n_B =250$

$p_A = 0.230$ $p_A = 0.228$

So, we have:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}$

$SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}$

$SE_{p_A-p_B} = \sqrt{0.002475064}$

$SE_{p_A-p_B} = 0.050$

5 0

3 years ago

Evaluate the following expression. Round to the nearest hundredth when necessary.<br><br> 6³ - 18

SSSSS [86.1K]

Answer:

198

Step-by-step explanation:

Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198

8 0

3 years ago

Each person in a group of 12 has one pet. Three people have a cat, 2 people have a dog, and the rest have a bird. What is the pr

katrin2010 [14]

Answer:

63 % for cats and 37 % for dogs

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Liz ran 4/5 km on Monday and 56 KM on Tuesday about how much did she run?

Dimas [21]

Answer:

56.8

Step-by-step explanation:

4/5+56 =56.8

very sorry if this is wrong

3 0

3 years ago

Read 2 more answers

What is the value of a on the triangle below?

Vinvika [58]

Answer: answer 56 I’m the goat lol

Step-by-step explanation:

subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56

7 0

3 years ago