PLZ HELP 25 POINTS THIS IS AN EMERGENCY THANKS!!

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

Can you please do 2 and 3

Masja [62]

Answers:

<h2>2. 17.5</h2><h2>3a. 6</h2><h2>3b. greater</h2><h2>3c. add 1 to it</h2>

Step-by-step explanation:

When rounding, look at the digit that is ls to the right beside the digit in the place value to round to. If the number is greater than or equal to 5, round the digit in the place value to round to up one. If it is less than 5, do not. Let's look at some examples.

EXAMPLE 1:

23.123 round to the nearest tenth.

23.<u>1</u>23 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up. If less than 5, don't change underlined digit.

The bold number is a 2, which is less than 5, so the underlined number doesn't change.

ANSWER TO EXAMPLE 1: 23.1

EXAMPLE 2:

57.54 round to the nearest whole number

5<u>7</u>.54 Nearest whole place value is underlined

Digit after underlined digit is bold. If greater than or equal to 5, round underlined digit up one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 5, which equals 5, so the underlined number increases by 1.

ANSWER TO EXAMPLE 2: 58

Now, let's examine yours, now that we know how to round

17.46 round to the nearest tenth

17.<u>4</u>6 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up by one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 6, which is greater than 5, so the underlined number increases by 1.

ANSWER TO QUESTION: 17.5

Hope this helped :)

<em>PLEASE MARK BRAINLIEST</em>

8 0

3 years ago

Jackie has $32.50 to buy a new pair of jeans. The pair she likes costs $38 but is marked “20% off ticketed price.” The sales tax

ohaa [14]

Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.

4 0

3 years ago

What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?

VARVARA [1.3K]

Answer:

$(x + 1)^2 + (y - 7)^2 = 100$

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

$(x - h)^2 + (y - k)^2 = r^2$ ,

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

$(x - h)^2 + (y - k)^2 = r^2$

$(x - (-1))^2 + (y - 7)^2 = 10^2$

$(x + 1)^2 + (y - 7)^2 = 100$

4 0

3 years ago

Sombody is taking a 1680 mile road trip. At the end of the first day they had completed 3/8of there trip. How many miles did the

patriot [66]

Answer:

Step-by-step explanation:

1680 mile road trip....they completed 3/8 of it...

so we need to figure 3/8 of 1680

" of " in math language means multiply

3/8 * 1680 = 5040/8 = 630 miles <===

7 0

3 years ago