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Ksenya-84 [330]

3 years ago

12

Which of the following expressions can be factored to 2?

2 answers:

Ber [7]3 years ago

6 0

Answer:

Correct answer is A.

Step-by-step explanation:

2x∧3 + 5x∧2 + 6x + 15 = x∧2 (2x+5) + 3 (2x+5) = (2x+5) 0 (x∧2+3)

God with you!!!

pentagon [3]3 years ago

4 0

Answer:

Answer: Option A. $2x^{3}+5x^{2}+6x+15$

Step-by-step explanation:

The given factors are $(x^{2}+3) and (2x+5)$

Now we have to simplify these factors to get the equation

⇒ $(x^{2} +3)(2x+5)$

⇒ $x^{2} (2x+5)+3(2x+5)$

⇒ $2x^{3}+5x^{2}+6x+15$

So option A is the right answer.

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snow_lady [41]

Answer:

c. 16/35

Step-by-step explanation:

2/5 divided by 7/8

2/5 x 8/7

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5 0

2 years ago

Read 2 more answers

What is the slope of the long represented by the equation y=4/5x-3

Gnom [1K]

Answer:

The slope would be 4/5

Step-by-step explanation:

y=(m)x+b and b is the slope.

4 0

3 years ago

Read 2 more answers

Over a period of 3 hours, the outside temperature changed an average of -2.250 Fahrenheit per hour. Which statement correctly de

Leona [35]

Answer: A

Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.

7 0

1 year ago

Find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches

IrinaK [193]

Since the diameter of the cylinder is 10, its radius is half that, or 5, thus

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=5\\
h=20
\end{cases}\implies V=\pi (5)^2(20)$

7 0

3 years ago

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

2 years ago