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3 years ago

10

Patricia annual Salary was 52,000. She earned a 6% raise what is her new salary

2 answers:

lisov135 [29]3 years ago

8 0

Her new salary would be $55,120

dolphi86 [110]3 years ago

3 0

See picture for solution to your problem.

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1. Where will the line y = -1/2 -3 cross the y-axis?

soldier1979 [14.2K]

1) The y- axis is where x = 0, so the line "y = -1/2x - 3" will cross the y-axis when x = 0. You plug in "x = 0" into the equation, and get y = 0 -3, so y = -3. That means the line " y = -1/2x - 3" will cross the y-axis ar (0, -3)

2) If there are 2 parallel lines, then there is no solution, because the definition of parallel lines is, " 2 lines in the same plane, that never meet." That makes the solution inconsistent.

7 0

2 years ago

Help me w how to solve math problems like these pls

leonid [27]

Answer:

x = 72

Step-by-step explanation:

For all polygons, the exterior angles add up to 360°

Since a pentagon has 5 exterior angles, you do

angle = 360 ÷ 5 = 72

here's a picture so you understand better

6 0

2 years ago

Dorji thought of a number. He first multiplied the number by 3 and then subtracted 12

jeyben [28]

Answer

The answer is 24

Step-by-step explanation

24 x 3 = 72
72 - 12 = 60
60/6 = 10
10 - 4 = 6

6 0

2 years ago

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

$M = z\frac{\sigma}{\sqrt{n}}$

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

3 0

3 years ago

A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, w

Hunter-Best [27]

Answer:

Either 36,8 × 2,1 or 2,3 × 33,6

6 0

2 years ago