Candice is preparing for her final exam in Statistics. She knows she needs an 62 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 54 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 62 is within one standard deviation of the mean.

Answer:

b = [tex]\frac{3ab - a - 2}{2}[/tex]

Step-by-step explanation:

We have an algebraic expression and are asked to solve for b.

a(3b - 1) = 2b + 2

To solve we need to isolate b :

Distribute :

(a(3b) - a(1)) = 2b + 2

3ab - a = 2b + 2

2b + 2 = 3ab - a

Subtract 2 from both sides :

2b = 3ab - a - 2

Divide 2 from both sides :

b = [tex]\frac{3ab - a - 2}{2}[/tex]

Answer:

b = 2+a/ 3a-2

Step-by-step explanation:

Answer:

27.199918 cm2

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Since this is a test/homework, I'll give you a hint.

A triangle always is 180 degrees. If you add up all the sides, it should be 180.

A horizontal line is 180, if you add up the two sides (or the "line" that is crossing through the horizontal one) it'll be 180.

Just think of it like this: 180 is king. No matter what you add together, if its not 180, its wrong.

Hope this helps!  

Answer:

10.44 feet

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.  

First we have to find the diagonal for the base.

6²+8²=x²

36+64=x²

100=x²

√100=x

x=10

Now we can find d.

10²+3²=x²

100+9=x²

109=x²

√109=x

x=10.44 feet

Answer:

See Explanation

Step-by-step explanation:

For ASA

[tex] \angle R \cong \angle E[/tex]

[tex] RQ \cong EF[/tex]

[tex] \angle Q \cong \angle F[/tex]

[tex] \triangle PRQ \cong \triangle GEF[/tex]

For AAS

[tex] \angle P \cong \angle G[/tex]

[tex] \angle R \cong \angle E[/tex]

[tex] RQ \cong EF[/tex]

[tex] \triangle PRQ \cong \triangle GEF[/tex]

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

Answer:

7 votos

Answer:12Step-by-step explanation:For each of the four triangles you multiply the base (2) by the height (2) and then divide it by 2 which equals 2.

Answer

x < - 3

Explanation

X is a number less than 3

Answer:

x=-4/11; y=-19/11

Step-by-step explanation:

Answer:

x = 4/11 ; y = 19/ 11

sorry i cant give you the explanation

i hope this will help u

pls add me as bainliest

Step-by-step explanation:

Answer:

I think 9

Step-by-step explanation:

Answer:

I am probably wrong because I don't remember this but it might be 9 or 19

Step-by-step explanation:

4+2+2+1=9=9+9=18

Answer:

Step-by-step explanation:

y + 2= -1/2(x - 0)

y + 2 = -1/2x + 0

y = -1/2x - 2

-1/2x = -2

x = 4

Answer:

Step-by-step explanation:

From above-given information

Consider p to be the probability that the first coin comes up as head

Consider q to be the probability that the second coin comes up as tail.

Provided all tosses seems to be independent.

Then;

Let X represent no. of tosses, where X follows a geometric distribution with parameter;

p' = p(1-q) +q(1-p)

with probability mass function (pmf)

[tex]P(X = x) = ( 1 - p')^{x - 1} p'[/tex]

Thus, the mean (expected value) and the standard deviation can be computed as:

[tex]E(X) = \dfrac{1}{p'}[/tex]

[tex]\mathbf{E(X) = \dfrac{1}{p(1-q)+q(1-p)}}[/tex]

[tex]V(X) = \dfrac{1-p'}{(p')^2}[/tex]

[tex]\mathbf{V(X) = \dfrac{1-[p(1-q)+q(1-p)]}{[p(1-q)+q(1-p)]^2}}[/tex]

(b)

Suppose X represents that the first coin is head;

and Y represent the last toss

Therefore, the required probability is:

[tex]P(X|Y) = \dfrac{p(1-q)}{p'}[/tex]

[tex]P(X|Y) = \dfrac{p(1-q)}{p(1-q)+(1-p)q}[/tex]

Answer:

5

Step-by-step explanation:

dont really understand why you answered your own question?

Step-by-step explanations:

Since the domain is a set of all real numbers, all the expression are with respect to real numbers.

a. 3 x,y : x/y < 1 ∧ y/x < 1

b. ∀x > 0, 1/x > 0

c. 3 x,y : x + y = xy

d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.

3 means "there exists"

∀ means "for every value of"

∧ means "and"

Answer:

1 2 and 4

Step-by-step explanation:

Answer:

3,4,5,&6

Step-by-step explanation:

Answer:

9 is the composite number.

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

Answer:

-5/7

Step-by-step explanation:

With the equation y = mx + b, m is the slope of the line.

Since the equation is y = -5/7x - 1, m is -5/7

So, the slope of the line is -5/7

Answer:

m = -5/7

slope = -5/7

Step-by-step explanation:

Use y = mx + b to find the slope m.

Answer:

im not sure i understand the question

Step-by-step explanation:

80.50 plus........plus what?

i am confusion

Answer:

10y

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

uts -4 I mean I don't have any explanation but yea. Tell me if it's wrong

Answer:

1 : 4

Step-by-step explanation:

Answer:

36 cm

Step-by-step explanation:

Answer:

5000

Step-by-step explanation:

Answer:

5000 thx!

Step-by-step explanation:

Answer:

480 u have to multiply

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)

The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black and this can be determined by using the given data.

Given :

There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.

The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:

Step 1 - According to the given data, the total number of black socks is 18 and the total number of Navy socks is 12.

Step 2 - The probability that the socks come out is black socks is given below:

[tex]\rm P_b = \dfrac{18}{12+18}[/tex]

[tex]\rm P_b = \dfrac{18}{30}=\dfrac{3}{5}[/tex]

Step 3 - The probability that the socks come out is navy socks is given below:

[tex]\rm P_n = \dfrac{12}{12+18}[/tex]

[tex]\rm P_n=\dfrac{12}{30}=\dfrac{2}{5}[/tex]

Step 4 - Compare both the probability.

[tex]\rm P_b>P_n[/tex]

So, the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

For more information, refer to the link given below:

https://brainly.com/question/795909