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2 years ago

What type of angle is this?

Mathematics

2 answers:

Ivanshal [37]2 years ago

7 0

Answer:

obtuse angle

Step-by-step explanation:

lubasha [3.4K]2 years ago

5 0

Answer:

Obtuse

Step-by-step explanation:

Because of more than 90 degrees.

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Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex

Nataly [62]

Answer:

$(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942$

$(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978$

And the 90% confidence interval would be given (0.0942;0.09978).

We are confident at 90% that the difference between the two proportions is between $0.0942 \leq p_A -p_B \leq 0.09978$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion female for Biology

$\hat p_A =\frac{84199}{144796}=0.582$ represent the estimated proportion female for biology

$n_A=144796$ is the sample size for A

$p_B$ represent the real population proportion female for calculus AB

$\hat p_B =\frac{102598}{211693}=0.485$ represent the estimated proportion female for Calculus AB

$n_B=211693$ is the sample size required for B

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942$

$(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978$

And the 90% confidence interval would be given (0.0942;0.09978).

We are confident at 90% that the difference between the two proportions is between $0.0942 \leq p_A -p_B \leq 0.09978$

5 0

3 years ago

Is this correct? and how do u solve it?

Leona [35]

I’m not sure if your answer is right but here’s how to solve it

4 0

2 years ago

Read 2 more answers

10x + 1 = 2(3× + 5) - 1

MArishka [77]

Answer:

x = 2

Step-by-step explanation:

10x + 1 = 2(3x + 5) - 1

mutlipy the 2 to the 3x and the 5
you should get 10x + 1 = 6x + 10 - 1
now you have to add the combine terms
so it will now be 10x + 1 = 6x + 9
now you.have to get the x's on one side and the constants (numbers alone) on the other side
so you can subtract the 6x on both sides
once you do that you wil get 4x + 1 = 9
After you get this equation you will have to subtract the one from both sides.
you will get 4x = 8
All you have to do it divide 4 on both sides. Your final answer is x = 2.

7 0

2 years ago

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The ratio of pineapple juice to sparkling water that Sylvia and her

Zarrin [17]

Answer:

Step-by-step explanation:

Pineapple:Sparkling water

3:2

A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.

B: 3 times as much punch, basically multiply by 3

3(3):2(3)

9:6 pineapple:water

2 (water) = 4 quarts 1=2 quarts

9(2)=18

B: 18 quarts

7 0

2 years ago

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Richard and Sales are making cranes.They use 1 piece of blue paper and one piece of orange paper to make it. The blue paper come

m_a_m_a [10]

I think the answer is 3

3 0

2 years ago

What type of angle is this?​

What type of angle is this?