Determine the probability (as a decimal rounded to the nearest hundredth) of a normal random variable with a mean of three and a standard deviation of four realizing a value that is strictly greater than 1.9

Answers

Answer 1

Answer:

Step-by-step explanation:

On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.

The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.


Related Questions

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

C

Step-by-step explanation:

the answer is

[tex]{(x + 2)}^{2} [/tex]

Which is a pair of vertical angles?
∠VRU and ∠SRT
∠TRS and ∠VRW
∠TRV and ∠WRU
∠WRV and ∠SRW

Answers

Answer: ∠TRS and ∠VRW  (Choice B)

========================================================

Explanation:

Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.

Notice how lines TW and SV intersect to form an X shape.

The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.

Answer:

B ∠TRS and ∠VRW

Step-by-step explanation:

The flow of water from a faucet can fill a
3-gallon container in 18 seconds. Give the ratio of gallons to seconds as a rate in gallons per second and as a reduced fraction.

Answers

Answer:

3/18 gallons/seconds, or 1/6 gallons/seconds

Step-by-step explanation:

We know that for every 3 gallons, the faucet fills that amount up in 18 seconds. Another way we can write that is "3 gallons for 18 seconds", or 3 gallons / 18 seconds.

Therefore, in terms of gallons to seconds, we can write this as 3 gallons/18 seconds.

One cool thing we can do with fractions is that if we multiply/divide the numerator by the same thing, the fraction is still the same amount, like if we divided by one. For example, if we multiply 1/10 by 10/10 = 1, we would get 10/100 = 1/10, changing the numbers but still keeping the fraction intact. We can apply this concept here to reduce the fraction.

Reducing the fraction means that we want to make the numerator and denominator as small as possible while still keeping them as integers. This means that, if possible, we should divide both the numerator and denominator by their greatest common factor (if it is greater than 1).

To find the greatest common factor, we can list factors and find the greatest one among them.

We have two numbers, 3 and 18.

The factors of 3 are 1 and 3 while the factors of 18 are 1, 2, 3, 6, 9, and 18. The greatest common number among these two is 3. Therefore, we can divide both these numbers by 3 to get

3/18 = 1/6 gallons/seconds as our answer

In a 100 metre race, the time of the winner was 10. 57 seconds and the time of the athel athlete who came third was 10. 64 seconds Write down a possible time for the athlete who came Second​

Answers

Answer:

10.61

Step-by-step explanation:

Se preguntó a 44 estudiantes por el tiempo, medido en minutos, que tardan en
llegar a su sitio de estudio. Las respuestas obtenidas fueron: 15,20,17,24,45,40,35,39,46,44,50,47,42,40,38,30,35,45,35,45,35,37,47,48,58,55,38,37,40,43,40,39,45,48,50,35,20,57,55,56,47,43,37,34,50,60
a) Clasifique la variable y construya la
TDF correspondiente al histograma.
b) Realice 4 interpretaciones de los
datos condensados en la TDF del punto a).
c) Realice el histograma, el polígono de
frecuencias y la ojiva de esta variable.

Answers

Answer:

sdfghjkl

Step-by-step explanation:

What is the tangent ratio of angle x?
a. tan x= 15/8
b. tan x= 8/17
c. tan x= 15/17
d. tan x= 8/15

Answers

Answer:

b.

Step-by-step explanation:

tangent is opposite over adjacent

the value opposite to angle 'x' is 8 and the hypotenuse is 17 so 8/17

Answer:

D

Step-by-step explanation:

Opposite over adjacent would be 8/15

When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side before the increase.

The length of a side before the increase is...

Answers

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

[tex]s^2+10s+25=s^2+895[/tex] and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

Please help me solve this question

Answers

Answer:

A = 16 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )

Then b = 4 and h = 4 , so

A = 4 × 4 = 16 units²

There are 5 seats in a bus. In how many different ways if there are 5 children. How many different ways are there if there are 4 children, and how many different ways are there if there are 3 children.

Answers

Answer:

5=1

4=5

i don't really know for the third one sorry but it's more than 11

Step-by-step explanation:

The number of days (d) is equal
to the dividing of the number of hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24-h
D. h = 24 + h

Answers

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

[tex]h \: = 24d[/tex]

What is the circumference os the circle shown below? (Round your answer to the nearest tenth.)​

Answers

Answer:

Option C(66.0)

Step-by-step explanation:

C = 2πr

C=Circumference

π=3.14(pi)

r=radius

C=2x3.14x10.5

3.14x10.5=32.97

32.97x2=65.94

65.94 rounded to nearest tenth is 65.9, so basically 66.0.

 

Answer: C. 66.0


Step 1: Write an equation

To start off, we will need to write an equation. Before we solve, let’s write the formula for a circumference.

C= 2πr

Step 2: Substitute numbers

Now that we have the equation, we need to substitute the information shown in the shape. Let’s substitute r in the equation with 10.5. We will do this because this is the radius of the circle. We will not be using 14.8 since it does not go to the center of the circle. Let’s replace r now.

C= 2πr
C= 2π10.5

Step 3: Solve

Let’s solve for the circumference using the equation we have created. To make it easier, we will add a multiplication sign in between each number before we solve.

C= 2π10.5
C= 2 × π × 10.5
C≈ 65.97

The circumference is approximately 65.97. Since we are asked to round to the nearest tenth, the circumference will need to be rounded up. Let’s do this now.

C≈ 65.97
C≈ 66.0

This is your answer. Hope this helps! Comment below for more questions.

Can somebody help me Answer to this ??

Answers

X=7

c is the answer:

[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]

X=7! Math always sucks

find the missing length indicated.​

Answers

Answer:

Step-by-step explanation:

x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:

[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get

[tex]x^2 =18225[/tex] so

x = [tex]\sqrt{18225}[/tex] and

x = 135

Use braces and digits to indicate the set of whole numbers

Answers

Whole numbers are numbers without decimal points greater than or equal to 0.

The set of whole numbers is:

[tex]W =\{0,1,2,3,4.....\}[/tex]

In the introductory part of this solution, I stated that:

Whole numbers do not have decimal pointThe smallest whole number is 0

This means that the following numbers are whole numbers:

1, 9, 10, 67

While the following numbers are not:

-1, 9.0, 1.0, -67

Let W be the set of whole numbers; the set is:

[tex]W =\{0,1,2,3,4.....\}[/tex]

The dots after 4 means the set still continues

Read more at:

https://brainly.com/question/13106807

Answer:

The set of whole numbers W= {0,1,2,3,........,.....}

Step-by-step explanation:

The whole numbers are numbers that are complete. These numbers do not have a part missing or an additional part (fraction) for example decimals or fractions are not complete or whole numbers.

Braces are  curly brackets as shown { }

Digits are written inside the curly brackets to show the set of whole numbers.

The set of whole numbers is denoted by W.

W= {0,1,2,3,......,...}

The rational or irrational numbers which are expressed in decimals are not included in the list of whole numbers.

Which division is shown by the model?

Answers

Step-by-step explanation:

where the model step by step explanation

A lot is assessed at $15,800 and the tax is
$711. What is the tax rate?

Answers

so, on this solution, I tried to find which percentage of 15,800 is 711.

x/100 . 15800 = 711

158x = 711

x = 4.5

then, the tax rate equals to 4.5%

hope it helps :)

the sum of two positive consecutive integers is x. in terms of x, what is the value of the smaller of these two integers?​

Answers

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

Find y.
PLEASE HELP ASAPPPP

Answers

Answer:

y = 4

Step-by-step explanation:

[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]

Answer:

y = 4

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

y = 4

find the sum or difference of the polynomials. Write your answer in descending
order.(-3x2 + 2x + 1) + (-8x2 + 3x + 2)

Answers

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

There is currently a linear bike path that goes through the points (4, 0) and (7, 4). The park commission is planning to build a new bike path that is parallel to the old one that passes through the point (2, 5).

Answers

Answer:

y = 3/4x +7/2

Step-by-step explanation:

slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value

x difference /y difference = 3/4 = slope

y = 3/4x

to find y-intercept, add a variable

y = 3/4x + B

then add the first x and y value point numbers into equation

0 = 3/4(4) + B

-3 = B

put back B into equation.

y = 3/4x - 3 which is the linear path the biker is going

now you can use another variable to find the new bike path

y = 3/4x + A

plug in the x value 2 and y value 5 from (2,5)

5 = 3/2 + A

A = 7/2

there-fore the new line which is parallel to the old line is:

y = 3/4x +7/2

Identify the slope (m) and the y-intercept (b) of each line a) y= x+7 slope = y intercept = b) y = -3x slope = y intercept =

Answers

Answer:

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Please anyone help me

Answers

Math Problem

If die is rolled two times, find the probably of getting "1'twice.

Math Answer

[tex] {1}\{36} [/tex]

Feel fre e too ask me

Please understand it

#BrainliestBunch

Anyone know this question?

Answers

i think the answer is b

please help what is the answer?

Answers

Answer:

12

Step-by-step explanation:

The altitude divides the hypotenuse into parts using this proportion

6/n = n / 18                Cross multiply

n^2 = 6 * 18

n^2 = 108

n = sqrt(108)

n = sqrt(4 * 9 * 3)

n = 2*3 *sqrt(3)

n = 6*sqrt(3)

Now use Pythagoras to get m. m is the hypotenuse of the small triangle on the left

m^2 = n^2 + 6^2

m^2 = 6^2 *sqrt(3)^2 + 36

m^2 = 36*3 + 36

m^2 = 108 + 36

m^2 = 144

m = sqrt(144)

m = 12

URGENT HELP PLZZZ I LOST MY BRAIN AND I'M OUT OF BATTERY

Write 5 irrational numbers between 2&3​

Answers

Answer:

Step-by-step explanation:

Irrational numbers are non terminating and non repeating numbers

Example: √2 , π

5 irrational numbers between 2&3​:

2.102003000.......

2.12345......

2.12030405.....

2.505006000....

2.606006000.....

Mr. Lynch bought some oranges and pears.
After giving away 10 oranges, he had twice
as many pears as oranges left. If he had 24
pears in the end, what was the ratio of
oranges to pears in the beginning?

Answers

Answer:

11: 12

Step-by-step explanation:

Let the number of oranges and pears Mr Lynch have initially be x and p respectively.

x -10= ½p

2(x -10)= p

p= 2x -20 -----(1)

Since Mr Lynch did not give any pears away, the number of pears at the end is the initial number of pears.

p= 24

Substitute p= 24 into (1):

2x -20= 24

2x= 24 +20 (+20 on both sides)

2x= 44

x= 44 ÷2

x= 22

[tex] \frac{x}{p} = \frac{22}{24} [/tex]

[tex] \frac{x}{p} = \frac{11}{12} [/tex]

Thus the ratio of orange to pears in the beginning is 11: 12.

Which of the following is an example of linear growth?
A. A baby gains 0.5% of its weight each week
B. An investment of $100 at an annual interest rate of 0.75%, compounded monthly
c. Depositing $5.00 in a savings account each week for t weeks
D. A bacterial culture doubles in size each day

Answers

Answer:

c. Depositing $5.00 in a savings account each week for t weeks

Step-by-step explanation:

Depositing $5.00 in a savings account each week for t weeks will be the correct example of linear growth.

What is a linear function?

A linear function is a function in which any two quantity varies linearly with respect to each other.

In another word, a linear function is that function whose slope will be constant and will plot a straight line.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

The linear function will be that where the value of the next period can be calculated

For example y =2x here we can calculate y by just x

In given option (C) we can see that the difference between any two consecutive months can be calculated next month.

For more about the function

brainly.com/question/23712366

#SPJ2

A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shorts. Which inequality represents the maximum cost of each pair, s, the coach can buy?

Answers

Answer:

A. 15s < 200

Step-by-step explanation:

Which inequality represents how many pairs of shorts, s, the coach can buy?

A. 15s < 200

B.15s > 200

C. 15s <(with line under)200

D 15s >(with line under)200

Let

s = cost of eat short

Number of students (Short) = 15

Less than (<)

The inequality:

Number of short * cost of each short < $200

15 * s < 200

15s < 200

s < 200/15

s < $13.333333333333

Answer:A. 15s < 200

Step-by-step explanation:A. 15s < 200

Hi there can someone please help me?
What is z and k when k+4z=42

Answers

Answer:

Solution given:

we have

k+4z=42

k=42-4z

and

k+4z=42

4z=42-k

dividing both side by 4

[tex]\frac{4z}{4}[/tex]=[tex]\frac{42-k}{4}[/tex]

z=[tex]\bold{\frac{42-k}{4}}[/tex]

find the length of side x to the nearest tenth

Answers

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

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