PLEASE HELP!!!

The map of a walking trail is drawn a coordinate grid with three points of interest. The trail starts at R(-3,2) and goes to S(2

Nezavi [6.7K]

Answer:

12 units

Step-by-step explanation:

Given that :

R(-3,2)

S(2,2)

T(2,-5).

The total length ;

Distance between two points : √[(x2 - x1)² + (y2 - y1)²]

Distance between R and S :

R = (-3,2)

S(2,2)

√[((2 - (-3))^2 + (2 - 2)^2]

Sqrt(5^2 + 0^2)

D1 = 5 units

Distance between S and T:

S(2,2)

T(2,-5).

D2 = √[(2 - 2)^2 + (-5 - 2)^2]

D2 = sqrt(0^2 + (-7)^2)

D2 = 7 units

Hence, total length = D1 + D2 = (5 + 7) = 12 units

5 0

2 years ago

There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

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".

The population proportion have the following distribution

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

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0

3 years ago

Which system of equations is shown by the graph

natta225 [31]

Answer:

The third or bottom left option.

Step-by-step explanation:

Pay attention to the slopes. If it is negative that the graph points to the top left or bottom right and the opposite for a positive slope(slope is the coefficient of the x value meaning if the slope is a very small negative number or a large positive number than the steepness changes) This can be solved purely through the process of elimination which is how I did it.

6 0

3 years ago

6x^2 + 66x + 60 factor completely

kiruha [24]

Hi! Let me help you!

Remember, factoring looks like so:
ab+ac=a(b+c)
So, we need to find the greatest common factor (G.C.F.) of the polynomial.
In this case, 6 is the GCF, so we factor it out:
6x²+66x+60
Divide 6, 66 and 60 by 6:
x²+11x+10

<u>Answer:</u>

x²+11x+10

Hope you find it helpful.

$\rm{Stargazing{\bold{WithJoy}$

3 0

2 years ago

In Mr. Romero's class is 25 students, 13 of them participate in school sports. What percent of students participate in school sp

never [62]

Just do this to find the percentage:

13/25 * 100%

= 0.52 *100%

= 52%

7 0

3 years ago