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3 years ago

Deals with Area of Triangle, thankyou so very much for your help!

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

The answer is method a and d because they both d the area of the triangle using inverse operations

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Can someone find the sum?

viktelen [127]

X^2 + x + 1 + 3x^2 + 3x + 2. Just combine the like terms:

x^2 + 3x^2 + x + 3x + 1 + 2

4x^2 + 4x + 3. <--- the sum.

5 0

3 years ago

Read 2 more answers

A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 respon

Komok [63]

Answer:

99% confidence interval is wider as compared to the 80% confidence interval.

Step-by-step explanation:

We are given that a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.

Among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as plus or minus ±3 percentage points.

The pivotal quantity for the confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who chose chocolate pie = 14%

n = sample of adults = 500

p = true proportion

Now, the 99% confidence interval for p = $\hat p \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

Here, $\alpha$ = 1% so $(\frac{\alpha}{2})$ = 0.5%. So, the critical value of z at 0.5% significance level is 2.5758.

Also, Margin of error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$ = 0.03 for 99% interval.

So, 99% confidence interval for p = $0.14 \pm2.5758 \times \sqrt{\frac{0.14(1-0.14)}{500} }$

= [0.14 - 0.03 , 0.14 + 0.03]

= [0.11 , 0.17]

Similarly, 80% confidence interval for p = $0.14 \pm 1.2816 \times \sqrt{\frac{0.14(1-0.14)}{500} }$

Here, $\alpha$ = 20% so $(\frac{\alpha}{2})$ = 10%. So, the critical value of z at 10% significance level is 1.2816.

Also, Margin of error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$ = 0.02 for 80% interval.

So, 80% confidence interval for p = [0.14 - 0.02 , 0.14 + 0.02]

= [0.12 , 0.16]

Now, as we can clearly see that 99% confidence interval is wider as compared to 80% confidence interval. This is because more the confidence level wider is the confidence interval and we are more confident about true population parameter.

5 0

3 years ago

A TRIANGLE HAS SIDE LENGTH 3, 8 AND 9. FIND THE ANGLE MEASUREMENT FOR THE ANGLE CROSS FROM THE SIDE WITH LENGTH OF 8.

LekaFEV [45]

Answer:

Answer in file:

Step-by-step explanation:

4 0

2 years ago

In 1995, there were about 70,200 cats registered with the cat franciers association. Of these, about 44,700 were persians. What

Doss [256]

Answer:

reqired part of registered cats were persian=0.363247

Step-by-step explanation:

reqired part of registered cats were persian= $\frac{70200-44700}{70200}$

reqired part of registered cats were persian= $\frac{25500}{70200}$

reqired part of registered cats were persian=0.363247 answer

3 0

3 years ago

First two two terms of the given number sequence 3n + 1 are...

PtichkaEL [24]

Answer:

the sequence begins as {4, 7, ... }

Step-by-step explanation:

a(n) = 3n + 1

The first term is a(1) = 3(1) + 1 = 4, and

the second term is a(s) = 3(2) + 1 = 7

So the sequence begins as {4, 7, ... }

5 0

1 year ago