The value of n. 3n = (3^2)8

The temperature is -1°F. If the temperature rises 10° F, what will the new temperature be?

s2008m [1.1K]

I assume it'd be 9°F.

-1 + 10 = 9

Hope this helps!

7 0

3 years ago

Bryce is looking at a map of a theme park. The map is laid out in a coordinate system. Bryce is at (2, 3). The roller coaster is

Sunny_sXe [5.5K]

Answer:

Bryce is closer to the <u>roller coaster</u> as compared to the water ride.

Step-by-step explanation:

Given :

Bryce is at point (2,3)

Roller coaster is at point (7,8)

Water ride is at point (9,1)

To find whether Bryce is closer to roller coaster or the water ride.

Solution.

In order to determine the closeness of Bryce from either of the two rides, we will need to find the distance of Bryce from each of them. We can apply distance formula in order to do so.

By distance formula to find distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ .

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between Bryce (2,3) and roller coaster (7,8) can be given as:

$d_1=\sqrt{(7-2)^2+(8-3)^2}$

$d_1=\sqrt{(5)^2+(5)^2}$

$d_1=\sqrt{25+25}$

$d_1=\sqrt{50}$

$d_1=7.07$ units

Distance between Bryce (2,3) and water ride (9,1) can be given as:

$d_2=\sqrt{(9-2)^2+(1-3)^2}$

$d_2=\sqrt{(7)^2+(-2)^2}$

$d_2=\sqrt{49+4}$

$d_2=\sqrt{53}$

$d_2=7.28$ units

Thus, we can see that Bryce is closer to the roller coaster as compared to the water ride.

3 0

3 years ago

What is -1/4(-20x+16)

Shtirlitz [24]

Answer:

5x-4

Step-by-step explanation:

-1/4(-20x+16) = 5x-4

6 0

3 years ago

According the April 12, 2017 Pew Research survey, 58% of Americans approve of U. S. Missile strikes in Syria in response to repo

Dvinal [7]

The probability that more than 30 Americans of the 50 in the survey approve of the missile strikes is .3859

<h3>How to determine if the normal distribution can be applied?</h3>

The given parameters are:

Sample size, n = 50

Population proportion, p = 0.58

By central limit theorem (CLT), the normal approximation can be used with this distribution because the sample size is greater than 30

<h3>The mean of the sampling proportion? </h3>

This is the same as the population proportion.

So, the mean of the sampling proportion is 0.58

<h3>The standard deviation sampling proportion? </h3>

This is calculated using:

$\sigma = \sqrt{\frac{p(1 - p)}{n}}$

So, we have:

$\sigma = \sqrt{\frac{0.58 * (1 - 0.58)}{50}}$

σ = 0.0698

<h3>That no more than 25 Americans approve of the missile strikes? </h3>

Start by calculating the p-value

p = 25/50

p = 0.5

The z-score is:

$z = \frac{x - \mu}{\sigma}$

This gives

$z = \frac{0.5 - 0.58}{0.0698}$

This gives

z = -1.15

Using the z-table of probability, the requested probability is:

P(z ≤ -1.15) = 0.1251

<h3>The probability that more than 30 approved of the missile strikes? </h3>

Start by calculating the p-value

p = 30/50

p = 0.6

The z-score is:

$z = \frac{x - \mu}{\sigma}$

This gives

$z = \frac{0.6 - 0.58}{0.0698}$

This gives

z = 0.29

Using the z-table of probability, the requested probability is:

P(z > 0.29) = 0.3859

Read more about normal distribution at:

brainly.com/question/4079902

#SPJ1

8 0

2 years ago

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr a

emmainna [20.7K]

Answer:

the duration of the flight be 1 hour

Step-by-step explanation:

The computation of the duration of the flight is shown below:

Let us assume the duration of the flight be x hours

Now the equation would be

600 ÷ x - 600 x + (1 ÷ 2) = 200

600 ÷ x - 1200 ÷ 2x + 1 = 200

x(2x + 1) = 3

2x² + x - 3 = 0

(2x + 3)(x - 1) = 0

x = 1 hour

hence, the duration of the flight be 1 hour

The same is to be considered

4 0

3 years ago