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4 years ago

Calculate the length of line AB.

Mathematics

1 answer:

anzhelika [568]4 years ago

5 0

Answer:

Step-by-step explanation:

<em>i can't see the image.. brother so how can i figure it out what problem you are facing .</em>

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Reggie’s bank is offering a checking account for anyone who has more than 1000. He deposits 3200 into the account at a rate of 4

timama [110]

Answer: 384

Step-by-step explanation:

4/100×3200×3yrs

=128

5 0

4 years ago

The value, v, of your quarters (in cents) is a function of n, the number of quarters you have.

Snezhnost [94]

The independent variable is the one you change to get your dependent variable. in this case, the independent would be the number of quarters you have

3 0

3 years ago

(8x - 14) (5y + 16) (5x + 34)

labwork [276]

Answer: 200x^2y+640x^2+1010xy+3232x-2380y-7616

Step-by-step explanation:

((8x−14)(5y+16))(5x+34)

((8x−14)(5y+16))(5x)+((8x−14)(5y+16))(34)

200x2y+640x2−350xy−1120x+1360xy+4352x−2380y−7616

200x2y+640x2+1010xy+3232x−2380y−7616

3 0

4 years ago

In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. This is the 14

lbvjy [14]

Answer:

We are confident at 99% that the difference between the two proportions is between $0.380 \leq p_{Republicans} -p_{Democrats} \leq 0.420$

Step-by-step explanation:

Part a

Data given and notation

$X_{D}=3266$ represent the number people registered as Democrats

$X_{R}=2137$ represent the number of people registered as Republicans

$n=7525$ sampleselcted

$\hat p_{D}=\frac{3266}{7525}=0.434$ represent the proportion of people registered as Democrats

$\hat p_{R}=\frac{2137}{7525}=0.284$ represent the proportion of people registered as Republicans

The standard error is given by this formula:

$SE=\sqrt{\frac{\hat p_D (1-\hat p_D)}{n_{D}}+\frac{\hat p_R (1-\hat p_R)}{n_{R}}}$

And the standard error estimated given by the problem is 0.008

Part b

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 of Democrats that approve of the way the California Legislature is handling its job

$\hat p_A =\frac{1894}{3266}=0.580$ represent the estimated proportion of Democrats that approve of the way the California Legislature is handling its job

$n_A=3266$ is the sample size for Democrats

$p_B$ represent the real population proportion of Republicans that approve of the way the California Legislature is handling its job

$\hat p_B =\frac{385}{2137}=0.180$ represent the estimated proportion of Republicans that approve of the way the California Legislature is handling its job

$n_B=2137$ is the sample for Republicans

$z$ 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.