23,000,022 = 1<br> use the operation symbole

10. George earns $455 per week. He receives a 20% raise. What is George's new weekly salary?

djverab [1.8K]

Answer:

$546

Step-by-step explanation:

455*.20=91

91+455+546

8 0

3 years ago

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4. What is the system of equations that describes the following graph?

GarryVolchara [31]

Answer:

The system of inequalities is

$y$

$y>0.25x$

Step-by-step explanation:

step 1

Find the equation of the dashed line with negative slope

The line passes through the points

(0,-2) and (-2,0)

Find the slope

$m=(0+2)/(-2-0)=-1$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

The solution of the inequality is the shaded area below the dashed line

therefore

The equation of the inequality A is

$y$

step 2

Find the equation of the dashed line with positive slope

The line passes through the points

(0,0) and (4,1)

Find the slope

$m=(1-0)/(4-0)=0.25$

Find the equation of the line (direct variation)

$y=kx$

we have

$k=0.25$

substitute

$y=0.25x$

The solution of the inequality is the shaded area above the dashed line

therefore

The equation of the inequality B is

$y>0.25x$

therefore

The system of inequalities is

$y$

$y>0.25x$

4 0

3 years ago

Which one is the positive slope A.) (2,-3,) and (1,-2), B.) (0,0) and (3,-3), C.) (-1,-1) and (5,4) , D.) (-3,0), (9,0)

bagirrra123 [75]

Answer:

C.

Step-by-step explanation:

Use slope = (y2-y1)/(x2-x1).

slope = (4 - -1)/(5 - -1)

slope = 5/6, positive

Hope this helps!

6 0

3 years ago

Read 2 more answers

Round the number 206.8 to the underline place the 0 is underlined

lara [203]

Answer:

210.0

Step-by-step explanation:

you are rounding to the tens place so you look at the number before it is greater than 5 so you round up getting your answer of 210.0

8 0

2 years ago

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A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th

aksik [14]

Answer:

At least 547 records need to be studied.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

And the margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

In this problem, we have that:

$M = 0.04, p = 0.35$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}$

$0.04\sqrt{n} = 0.93486$

$\sqrt{n} = 23.37$

$n = 546.2275$

At least 547 records need to be studied.

6 0

3 years ago

23,000,022 = 1 use the operation symbole