How to graph 2x-3y=-6

2. The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of

IgorC [24]

Answer:

a) 37.31 b) 42.70 c) 0.57 d) 0.09

Step-by-step explaanation:

We are regarding a normal distribution with a mean of 35 and a standard deviation of 6, i.e., $\mu$ = 35 and $\sigma$ = 6. We know that the probability density function for a normal distribution with a mean of $\mu$ and a standard deviation of $\sigma$ is given by

$f(x) = \frac{1}{\sqrt{2\pi}\sigma}\exp[-\frac{(x-\mu)^{2}}{2\sigma^{2}}]$

in this case we have

$f(x) = \frac{1}{\sqrt{2\pi}6}\exp[-\frac{(x-35)^{2}}{2(6^{2})}]$

Let $X$ be the random variable that represents a row score, we find the values we are seeking in the following way

a) we are looking for a number $x_{0}$ such that

$P(X\leq x_{0})$ = $\int\limits^{x_{0}}_{-\infty} {f(x)} \, dx = 0.65$ , this number is $x_{0}$ =37.31

you can find this answer using the R statistical programming languange and the instruction qnorm(0.65, mean = 35, sd = 6)

b) we are looking for a number $x_{1}$ such that

$P(X\leq x_{1})$ = $\int\limits^{x_{1}}_{-\infty} {f(x)} \, dx = 0.9$ , this number is $x_{1}$ =42.70

you can find this answer using the R statistical programming languange and the instruction qnorm(0.9, mean = 35, sd = 6)

c) we find this probability as

$P(28\leq X\leq 38)$ = $\int\limits^{38}_{28} {f(x)} \, dx = 0.57$

you can find this answer using the R statistical programming languange and the instruction pnorm(38, mean = 35, sd = 6) -pnorm(28, mean = 35, sd = 6)

d) we find this probability as

$P(41\leq X\leq 44)$ = $\int\limits^{44}_{41} {f(x)} \, dx = 0.09$

you can find this answer using the R statistical programming languange and the instruction pnorm(44, mean = 35, sd = 6) -pnorm(41, mean = 35, sd = 6)

6 0

3 years ago

Read 2 more answers

Write an equation for the line described in standard form with x-intercept 4 and y-intercept 5

stealth61 [152]

Answer:

Equation $( \frac{5}{4}) x + y = 5$ is in the standard dorm.

Step-by-step explanation:

Here, the x - intercept = 4 , so ( 4,0) is a point on the line.

and the y - intercept = 5, so ( 0,5) is a point on the line.

So, the slope of the equation is given as = $\frac{y_2 - y_1}{x_2-x_1 } = \frac{5 -0}{0-4} = -\frac{5}{4}$

Now, the SLOPE INTERCEPT FORM of an equation is :

y = mx + b: here m = slope and b = y- intercept

or, $y =-( \frac{5}{4}) x + 5$

Now, standard form is Ax +By = C

So, the standard form is $( \frac{5}{4}) x + y = 5$

Hence, the above equation $( \frac{5}{4}) x + y = 5$

is in the standard dorm.

4 0

3 years ago

Each Saturday, Tina mows lawns to earn extra money which she puts into a savings account. The graph shows the balance of Tina's

NARA [144]

I need to see the graph

7 0

2 years ago

Please Help!!

neonofarm [45]

The anwser is 3/5 hope it helps

7 0

3 years ago

Solve for x<br><br> Please help me

Sedbober [7]

9514 1404 393

Answer:

x = 8.2

Step-by-step explanation:

As indicated on the supplied diagram, the measure of arc GH is ...

GH = 360° -83° -115° = 162°

The inscribed angle at F is half this measure, so we have ...

(10x -1)° = 162°/2

10x = 82 . . . . . . . . add 1 and simplify

x = 8.2 . . . . . . . . . divide by 10

4 0

3 years ago