Y=-2(x+5)^2-30 In standard form

Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker

LuckyWell [14K]

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

Let X = Math scores on the SAT exam

So, X ~ Normal( $\mu=514,\sigma^{2} =118^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean score = 514

$\sigma$ = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

P(455 < X < 573) = P(X < 573) - P(X $\leq$ 455)

P(X < 573) = P( $\frac{X-\mu}{\sigma}$ < $\frac{573-514}{118}$ ) = P(Z < 0.50) = 0.69146

P(X $\leq$ 2.9) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{455-514}{118}$ ) = P(Z $\leq$ -0.50) = 1 - P(Z < 0.50)

= 1 - 0.69146 = 0.30854

The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = 0.38292

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

7 0

3 years ago

There are 125 skittles in a bag. This consists of 35 red, 25 yellow, 20 purple, 15 green and 30 orange skittles. Find the percen

tino4ka555 [31]

Answer:

red=28℅,yellow =20℅, purple =16℅, green =12℅, orange=24℅

Step-by-step explanation:

total skittles =125

now,

To find the percentage of each skittles,

red =35 (35 ×100) =28 ℅

125

u can find each ℅ by same method.

hope it help u.

3 0

3 years ago

What does the 49 days until Fourth of July there are seven days in a week and how many weeks will it be Fourth of July

andrey2020 [161]

Answer:

It will be Fourth of July in 7 weeks.

Step-by-step explanation:

Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:

7 days → 1 week

49 days → x

x=(49*1)/7

x=7

According to this, the answer is that it will be Fourth of July in 7 weeks.

6 0

3 years ago

How is the graph of y =(x-1)2 - 3 transformed to produce the graph of y = 5(X+4)??

lina2011 [118]

Answer:

<h2>The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.</h2>

Step-by-step explanation:

The initial function is

$y=(x-1)^{2} -3$

The transformed function is

$y=5(x+4)^{2}$

Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.

Therefore, the right answer is the first choice.

6 0

3 years ago

1) Given: mLHE=84° Find: m∠EYL. 2)Given: m∠EYL=72° Find: m arc EHL, m arc LVE

SCORPION-xisa [38]

Answer:

Part 1) The measure of angle EYL is $96\°$