Please help!!<br>Solve each inequality. Graph and check your solution. t -5 ≥ -13

marusya05 [52]

Take that certain number we are looking for as 'n'

38% ⇒ 0.38

0.38n = 152

Divide by 0.38

0.38n = 152
/0.38 /0.38

n = 400

So 38% of 400 is 152.

3 0

3 years ago

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What is the answer to 13% of eighty nine

Ymorist [56]

Answer: 26.7 is 13% of 89

4 0

2 years ago

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What is the solution for 4x+5=

Mamont248 [21]

I think the answer is 9

4 0

2 years ago

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The relationship between the length of one side of the Square, eggs, and the perimeter of the Square, why, can be represented in

oee [108]

Answer:

The points with coordinates (x, y) that are on the line of the equation of the line relationship between the side of a square, x and the perimeter, y include;

(1, 4), (2, 8), (3, 12) ....(n, 4·n).

Where n is a positive number.

Step-by-step explanation:

The formula to determine the length of the perimeter of a square is,

Length of the perimeter of a square = Length of a side of the square multiplied by 4.

That is Perimeter of square = Side of square × 4

The relationship between the length of one side of a square and the perimeter of the square can be represented by the equation

y = 4×d which is a straight line with a slope of 4 passing through the origin

Points o the line include

(1, 4), (2, 8), (3, 12), etc.

The x and y coordinates take the form

(x, 4·x)

5 0

3 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.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$(0.580-0.180) - 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.380$

$(0.580-0.180) + 1.64 \sqrt{\frac{0.580(1-0.580)}{3266} +\frac{0.180(1-0.180)}{2137}}=0.420$

And the 99% confidence interval would be given (0.380;0.420).

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

5 0

3 years ago

Please help!!Solve each inequality. Graph and check your solution. t -5 ≥ -13