Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05. If you drew one card from a standard deck, would it be "unusual" to draw a 6?

Answer:

A

The value is [tex]P( X < 7 ) =0.26226[/tex]

B

The value is [tex]P( X < 7 ) = 0.00073[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 7.7 lbs[/tex]

   The standard deviation is [tex]\sigma = 1.1 \ lbs[/tex]

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     [tex]P( X < 7 ) = P( \frac{X - \mu }{\sigma} < \frac{7 - 7.7 }{1.1 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>   [tex]P( X < 7 ) = P(Z <- 0.6364 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    [tex]P(Z <- 0.6364 ) =0.26226[/tex]

=>   [tex]P( X < 7 ) =0.26226[/tex]

Generally the standard error of mean is mathematically represented as  

       [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]\sigma_{x} = \frac{ 1.1 }{\sqrt{25} }[/tex]

=>     [tex]\sigma_{x} = 0.22[/tex]

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         [tex]P( \= X < 7 ) = P( \frac{\= X - \mu }{\sigma_{x}} < \frac{7 - 7.7 }{ 0.22 } )[/tex]

=>      [tex]P( X < 7 ) = P(Z <- 3.1818 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      [tex]P(Z <- 3.1818 ) = 0.00073[/tex]

=>      [tex]P( X < 7 ) = 0.00073[/tex]

Answer:

Step-by-step explanation: welp

Answer:welp

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \cos^4 (5x^2)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

[1, 0, 0; 0, 1, 0; 0, 0, 1]

Step-by-step explanation:

[1, 2, -1; -1, 3, 3; 0, 2, -1]

Row Operation 1: Add 1 times the 1st row to the 2nd row:

[1,2,-1;0,5,2;0,2,-1]

Row Operation 2: Multiply the 2nd row by 1/5:

[1,2,-1;0,1,2/5;0,2,-1]

Row Operation 3: Add -2 times the 2nd row to the 3rd row:

[1,2,-1;0,1,2/5; 0, 0, -9/5]

Row Operation 4: Multiply the 3rd row by -5/9:

[1,2,-1;0,1,2/5; 0, 0, 1]

Row Operation 5: Add -2/5 times the 3rd row to the 2nd row:

[1,2,-1;0,1,0;0,0,1]

Row Operation 6: Add 1 times the 3rd row to the 1st row:

[1,2,0;0,1,0;0,0,1]

Row Operation 7: Add -2 times the 2nd row to the 1st row:

[1,0,0; 0,1,0;0,0,1]

Answer:

y = x + 1

Step-by-step explanation:

find slope (y2-y1)/(x2-x1)

pick 2 points (0,1) and (1,2)

(2-1)/(1-0) = 1/1 = 1

Since (0,1) you know that y intercept is 1

the equation in slope intercept form: y = x + 1

Answer:

Changes

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

♡ let's kill this love! ♡

you should definitely get "the album."

it has a very good rating and its great ☆

stan blackpink for clear skin, have a great day!

-madi/madeline

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

Answer:

-5.5

Step-by-step explanation:

divide both sides by y which deleted y on the right side. then the left side turns into y instead of y squared. then you have y equals -5.5

Answer:

4.15

Step-by-step explanation:

Minus it all

15 minus 6.25 is 8.75

8.75 minus 2.95 equals 5.8

5.8 minus 1.65 equals 4.15

Answer:

Step-by-step explanation:

9.9 + 7.5 + 6.4 = 23.8

7.5 * 6.4 = 48

48 / 2 = 24

Answer:

0.3 or 1/3

Step-by-step explanation:

add 4/5 + 3/15=1

then 1-2/3 = 1/3

Answer: 1/3

[tex]\frac{4}{5}+\frac{3}{15}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{3}{3.5}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{1}{5}-\frac{2}{3}\\\\=1-\frac{2}{3}\\\\=\frac{3}{3}-\frac{2}{3}\\\\=1/3[/tex]

Step-by-step explanation:

Answer:144

Step-by-step explanation:12 x 3 x 4=

Answer:

144

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Add 30+90 to get 120 and subtract 180-120= 60 as your third angle.

2) Take sin60= x/6 to get x= 3√3

3) Take sin30= y/6 to get y= 3

Here's a tip to verify this answer.

Use Pythagorean Theorem to do:

Square root of (3√3)^2 + 3^2 which equals 6 as your hypotenuse!

Answer:

Yes (2,3)

Step-by-step explanation:

x+1 = -x+5

x+x = 5-1

2x=4

x=2

y=x+1=2+1

y=3

Answer:

(2, 3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = -x + 5

Step 2: Solve for x

Substitution.

Step 3: Solve for y

Step 4: Graph

We can graph the systems and check if the point is the actual solution set.

Answer:

A

Step-by-step explanation:

Answer:

option  (a) is correct.

2 + m - 1 + m is an equivalent expression  to the given expression  3m+1-m

Step-by-step explanation:

Given expression  3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6  and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression  3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1  = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

Thus, option  (a) is correct.

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It can be later converted to any other form of the line. For example, the standard form is:

[tex]Ax + By = C[/tex]

Let's find the equation by using the given points (0,6) (5,6):

[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]

Operating:

[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line

Answer:

f(0)=1

f(1)=4

f(5)=-4.5

Step-by-step explanation:

0 and 1 are in the second domain, so you use the second equation

(0+1)^2=1^2=1

(1+1)^2=2^2=4

5 is in the third domain, so you use the third equation

-1/2(5)-2=-2.5-2=-4.5

Answer:

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

There are 52 chickens

Answer:

3.54

Step-by-step explanation:

Well, we know it has to be 3.5 as our ones, and tenths place, (Thats what I did), and we know it can't be less than 3 for our hundredths place

If we do 0.05, or more as our hundredths place, than we won't be rounding right for the tenths place, so it has to be 3.54

The number in question that shows the decimal digits is; 3.54

We are told that the number has;

- Ones

- tenths

- hundredths

Thus means that the number is in 2 decimal places.

If we approximate to the nearest tenth and get 3.5, it means that the last number on the right of the decimal which is the hundredths is less than 5. It also means that the first number to the right of the decimal will remain as 5.

We are now told that this hundredths number is greater than 3. Thus, the hundredths number is 4.

If the approximation to the nearest whole number gives 4, it means that the number before the decimal will be 3.

Thus,in conclusion, the number is 3.54.

Read more at; https://brainly.com/question/12458734

Answer:

no its not 3 goes to two letter so no

Step-by-step explanation:

Answer:

One is greater than zero, one is less than zero because one is on the right of the decimal and the other one is on the left of the decimal/

Step-by-step explanation:

Answer: because 4 tenths, is another way of saying 4/10 and in decimal form it's 0.4 and 4 tens is 10 10 10 10 which will = 40 a whole number

Step-by-step explanation:

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

Answer:

1st: 8x +2

2nd: 17x + 11

3rd: 8x + 19

4th: 9x + 125

5th: 17x + 21y + 18

Answer:

Step-by-step explanation: