Which statement describes the graph and system of equations?

Find the distance between (-4,-6) and (-1,-4).<br> Give your answer correct to 1 decimal place.

Scilla [17]

Answer:

Distance between two point = 3.6 (Approx.)

Step-by-step explanation:

Given:

Coordinate;

(-4, -6) and (-1, -4)

Find:

Distance between two point

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between two point = √(-4 + 1)² + (-6 + 4)²

Distance between two point = √(-3)² + (-2)²

Distance between two point = √9 + 4

Distance between two point = √13

Distance between two point = 3.6 (Approx.)

4 0

3 years ago

Jamie earned $25,000 as an early childhood teacher in the Lindbergh School District. She was promoted to a sixth grade teaching

vaieri [72.5K]

45,000 would be her new salary. 25,000 × .8 = 20,000. 20,000 + 25,000 = $45,0000.

3 0

3 years ago

Find the total price<br> of a $4.00 shirt<br> including the 7%<br> sales tax.

Leokris [45]

I think u have to multiply 4 times .07 then that get you .28 cents

4 0

3 years ago

It takes 3 3/4 spoons of chocolate syrup to make 2 1/2 gallons of chocolate milk. How many spoons of syrup would it take to make

kvasek [131]

Answer:

It would take 4 1/2 spoons

Step-by-step explanation:

To make a half gallon you need .75 spoons of chocolate syrup so to make 6 half gallons(3gallons) you would need 4.5 .75(6)

8 0

3 years ago

The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batterie

Fittoniya [83]

Answer:

The confidence interval is $25.16 < \mu < 26.85$

Step-by-step explanation:

From the question we are given a data set

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is

$\= x = \frac{\sum x_i}{n}$

where is the sample size with values n = 10

$\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}$

$\= x = 26$

The standard deviation is evaluated as

$\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }$

substituting values

$= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }$

$\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }$

$\sigma = 1.625$

The confidence level is given as 90% hence the level of significance is calculated as

$\alpha = 100 -90$

$\alpha =10$ %

$\alpha = 0.10$

Now the critical values of $\frac{\alpha }{2}$ is obtained from the normal distribution table as

$Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining the critical values of $\frac{\alpha }{2}$ instead of $\alpha$ is because we are considering two tails of the area under the normal curve

The margin of error is evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645 * \frac{1.625 }{\sqrt{10} }$

$MOE = 0.845$

The 90%, two sided confidence interval is mathematically evaluated as

$\= x - MOE < \mu < \= x + MOE$

$26 - 0.845 < \mu < 26 + 0.845$

$25.16 < \mu < 26.85$

Given that the lower and the upper limit is greater than 25 then we can assure the manufactures that the battery life exceeds 25 hours

5 0

3 years ago