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3 years ago

Myra will attend college in 18 months.

Mathematics

2 answers:

koban [17]3 years ago

8 0

6,300 - 2,400 -1,900 = 2,000. 2,000 divided by 18 is $111.11. So the answer is B

otez555 [7]3 years ago

4 0

Answer:

A. 2,000.00

Step-by-step explanation: If she already has $2,400 and $1,900 which equals $4,300 she will only need $2,000 more dollars

2,400+1,900=4,300+2,000=6300

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What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6

Pachacha [2.7K]

Answer:

$y=\dfrac{1}{8}(x-2)^2-4$

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

$(x-x_0)^2=2px(y-y_0),$

where $(x_0,y_0)$ is the vertex of parabola and p is parabola's parameter.

By the definition, $\frac{p}{2}$ is the distance from the vertex to the directrix, so

$\dfrac{p}{2}=2\Rightarrow p=4$

Hence, the equation of parabola is

$(x-2)^2=8(y+4)$

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

$y=\dfrac{1}{8}(x-2)^2-4$

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3 years ago

Given the equation y= 1/2x + 9, what is the y-intercept?

In-s [12.5K]

Answer:

Step-by-step explanation:

Y intercept when x = 0

Y = 9

3 0

2 years ago

Read 2 more answers

A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probabi

yawa3891 [41]

Answer:

Step-by-step explanation:

Total marble = 4+6+7 = 17

Number of green = 7

Prob(1st green) = 7/17

Now their are 6 green left and 16 marble

Prob(2nd green) = 6/16 = 3/8

Now their are 5 green left and 15 marble

Prob(3rd green) = 5/15 = 1/3

Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3

= 7/(17×8)

= 7/136

3 0

3 years ago

A group of waitresses share tips equally at a local restaurant. All patrons are charged 15% of their total bills in tips for the

ch4aika [34]

Answer:

$88.65

Step-by-step explanation:

To find the amount of total tips, multiply 3,546.12 by 0.15 (the decimal conversion of 15%).

3546.12(0.15) = 531.918

This is the total amount of tips for the night. This is divided evenly between 6 waitresses.

531.918 / 6 = 88.65

8 0

3 years ago

construct a 90% confidence interval of the population proportion using the giver information x=74 n=150

FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

X = 74

n = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{74}{150}=0.493$

Compute the critical value of z for 90% confidence level as follows:

$z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645$

*Use a z-table.

Compute the 90% confidence interval of the population proportion as follows:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)$

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0

3 years ago