All categories

2 years ago

Find the distance between (5, -1) and (-3,0). Give your answer correct to 1 decimal

1 answer:

3 0

√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65

You might be interested in

Зх - у = 2<br> What is the y corddinate

wariber [46]

Answer:

y=3x-2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a

Alecsey [184]

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

$P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\$

The z-score corresponding to 0.78 from the z-table is 0.7823

$P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%$

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

3 0

3 years ago

On a trip, you had to change your money from dollars to British pounds. You got 560 pounds for 800 dollars. How many pounds will

Lera25 [3.4K]

Answer:

210 pounds

Step-by-step explanation:

First, we are going to find the exchange rate from dollars to pounds.

We know form our problem that 800 dollars are 560 pounds. so:

\frac{560pounds}{800dollars} =0.7

800dollars

560pounds

=0.7 pounds per dollar.

Next, we are going to multiply our exchange rate by the number of dollars we want to change, 300:

300dollars*\frac{0.7pounds}{dollar} =210pounds300dollars∗

dollar

0.7pounds

=210pounds

We will get 210 pounds for 300 dollars

5 0

3 years ago

1) translation: 1 unit left

Otrada [13]

Answer:

x=(1,0)

g=(3,0)

q=(1,-2)

u=(2,-4)

Step-by-step explanation:

7 0

2 years ago

A car used 1 2/5 gallons of gasoline to travel 50 3/4 miles. How far can the car travel on 1 gallon of gasoline?

xeze [42]

Answer:

36 1/4

Step-by-step explanation:

you had to divide the miles into gallons

5 0

3 years ago