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GaryK [48]
3 years ago
6

What is 3,996 + 7899

Mathematics
2 answers:
Mariana [72]3 years ago
4 0
It equals up to  11895 
ddd [48]3 years ago
3 0
3996 + 7899 = 11895

:)
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A ladder is placed with its foot 5m from the bottom of a wall 12m high. The top of the ladder just
Stels [109]

Answer:

13 m

Step-by-step explanation:

The ladder forms a right triangle with the wall that has legs of 5 and 12. We need to solve for the length of the ladder, which in this case, is the hypotenuse of the right triangle. You could use the Pythagorean Theorem but there's an easier way to do this. We can use the 5 - 12 - 13 Pythagorean triple so we know that the length of the ladder is 13 m.

8 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
Is the function “ y = 3x “ a direct variation?
LuckyWell [14K]

Given function is a direct variation

Step-by-step explanation:

The direct proportion is defined as the increase in one quantity causes increase in other quantity.

If y is directly proportional to x, then it is given as:

y = kx

where k is the constant of proportionality

Given

y = 3x

Comparing the general form and given equation we see that both are same where k =3

So,

Given function is a direct variation

Keywords: Variation, functions

Learn more about functions at:

  • brainly.com/question/702593
  • brainly.com/question/689294

#LearnwithBrainly

3 0
3 years ago
When dividing, round your answer to the nearest tenths place (which means you have to find the hundredths place, in order to rou
Naya [18.7K]

Answer:

ok

Step-by-step explanation:

2.1003

5 0
3 years ago
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The circumference of a circle is 3 pie inches. What is the area of the circle
sweet [91]

Answer:

A = 28.26

Step-by-step explanation:

Hello!! The area is:

A = 3.14 ( 3 )²

A = 3.14 ( 9 )

A = 28.26

7 0
3 years ago
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