Vertex of y= -2(x+2)^2 + 4

10. Your Turn: Find the equation of a line that is parallel to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK *

bagirrra123 [75]

Y = 2x + 7.....the slope here is 2. A parallel line will have the same slope.

y = mx + b
slope(m) = 2
(-4,7)....x = -4 and y = 7
now we sub and find b, the y int
7 = 2(-4) + b
7 = -8 + b
7 + 8 = b
15 = b

so ur parallel equation is : y = 2x + 15 <==

8 0

4 years ago

Read 2 more answers

est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean

Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so $\mu = 79, \sigma = 4.5$

Student got 84, so $X = 84$

The z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{84 - 79}{4.5}$

$Z = 1.11$

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so $\mu = 69, \sigma = 3.7$

Student got 96, so $X = 96$

The z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{96 - 69}{3.7}$

$Z = 7.3$

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

7 0

3 years ago

a team's stadium has a capacity of 86,047. The fan base is notorious for selling out of tickets every game. If every game sells

ycow [4]

Answer:

1,032,564 tickets

Step-by-step explanation:

Find how many tickets they sell in total by multiplying the capacity of the stadium by the number of games in the season:

86,047(12)

= 1,032,564

So, if every game sells out, 1,032,564 tickets will be sold.

5 0

3 years ago

Help me plz its due tmmr

liraira [26]

Q4:
$a = 6s { }^{2} \\ a = 6 \times (3) {}^{2} \\ a = 54$

7 0

3 years ago

If the straight-line distance from her home to the university is 10. 3 km in a direction 25. 0° south of east, what was her aver

DIA [1.3K]

The average velocity in km/h is: 34.3km/hr

<h3>What is average velocity?</h3>

Average velocity refers to speed at which the time intervals (t) change in position or displacement happens, divided by the change in position or displacement (x).

=> Average velocity = $\frac{displacement}{time}$

Now,

The time taken is missing in the question; the time taken = 18 mins = $\frac{18}{60}$ hours.

The distance of her home to the university = 10.3 km

As, average velocity = $\frac{displacement}{time}$

=> Velocity = $\frac{10.3\times60}{18}$ = 34.3 km/hr

Hence, the average velocity = 34.3 km/hr

To learn more about average velocity, refer to the link: brainly.com/question/6504879

#SPJ4

5 0

2 years ago