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4 years ago

7

Gregory's front porch is rectangular. The length is 8 feet more than the width. The perimeter of the porch is 52 feet. What is t

he width of the porch?

1 answer:

Lapatulllka [165]4 years ago

5 0

The length would be 18 and the width would be 10 because if the use this formula: P=2L+2W(perimeter=s 2 Lengths + 2 Widths) you will get 56 by adding 18+18=36 + 10 +10 = 56 Hope this helped/helps!

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How can all the solutions to an equation in two variables be represented?

OLga [1]

How do linear, quadratic, and exponential functions compare?

Answer:

How can all the solutions to an equation in two variables be represented?

<u><em>The solution to a system of linear equations in two variables is any ordered pair x,y which satisfies each equation independently. U can Graph, solutions are points at which the lines intersect.</em></u>

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<u><em>How can all the solutions to an equation in two variables be represented?</em></u>

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<u><em>How are solutions to a system of nonlinear equations found? </em></u>

Solve the linear equation for one variable.

Substitute the value of the variable into the nonlinear equation.

Solve the nonlinear equation for the variable.

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6 0

3 years ago

Read 2 more answers

Help me on this math promblem it’s also a missing and is effecting me

Vlad1618 [11]

Answer:

$20.42

Step-by-step explanation:

Given that:

Price of tablet computer = $255.25

Sales tax = 8%

Sales tax will be calculated as follows:

tax amount = 0.08 (255.25)

tax amount = $20.42

So Azim will spend $20.42 on the sales tax.

i hope it will help you!

4 0

4 years ago

One solution of the equation x2 + 5x + 4 is -4. What is the other solution?

Oliga [24]

Answer:

<h2>x = -1</h2>

Step-by-step explanation:

$x^2+5x+4=0\\\\x^2+x+4x+4=0\\\\x(x+1)+4(x+1)=0\\\\(x+1)(x+4)=0\iff x+1=0\ \vee\ x+4=0\\\\x=-1\ \vee\ x=-4$

7 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

CAN SOMEONE HELP ME PLEASEEE

larisa [96]

Answer:

15/3=12/AB

15AB=36

AB=2.4 is the answer

8 0

3 years ago