Write an equation in point slope form when the slope is 1/3 and it passes through the point (5,3)

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

Find the value of x. Round the length to the nearest tenth.

Mamont248 [21]

From right triangle trigonometry, we have the following:

$\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ ,

where the "opposite side" means the opposite side to angle with measure $35^o$ , and "adjacent side" means the adjacent side to angle with measure $35^o$ .

$tan(35^o)$ is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

This gives $tan(35^o)=0.7$

Thus, back in the equation $\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ we substitute as follows and solve:

$\displaystyle{0.7= \frac{x }{12 }\\\\$

$x=0.7\cdot12=8.4$

Answer: 8.4 cm

5 0

2 years ago

Read 2 more answers

A group of 70 people attended a ball game. There were four times as many children as adults in the group. Set up a system of equ

anzhelika [568]

Answer:

4b+b=70

5b=70

b=14

Step-by-step explanation:

4(14)+(14)=70

3 0

3 years ago

Which two of the following is continuous data?

Alla [95]

Answer:

B. Age of student

D. Time taken to run 1 mile

Step-by-step explanation:

From the list of given options, only B and D satisfy the required condition.

One unique determinant of continuous data is that; they are measured and not counted.

Now, let's categorize option A to D into two

1. Counted data

2. Measured data

Options that fall into the category of measured data are said to be continuous data.

A. Concert attendance; The number of people in a concert is counted

B. The age of a student is measured (in years)

C. Number of pens in a box is counted

D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)

In summary; we have

Counted

A. Concert Attendance

C. Number of pens in a box

Measured

B. Age of a student

D. Time taken to run 1 mile

Hence, the continuous data are Age of a student and Time taken to run 1 mile

7 0

3 years ago

I need help plz someone help me

inna [77]

Find the decimal equivalent of each and then put in order.

Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Nikolas 130.5
Carrie 130 7/12= 130.58333
Jorja 130.25

Now that they each have a decimal equivalent, we can put them in order from greatest to least.

Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Carrie 130 7/12= 130.58333
Nikolas 130.5
Jorja 130.25

ANSWER: A) Steve, Riley, Carrie, Nikolas, Jorja

Hope this helps! :)

8 0

3 years ago