A normal population has a mean m=33 and standard deviation s = 9. What is the probability that a randomly chosen value will be greater than 44?

Answers

Answer 1

Answer: 0.1112

Step-by-step explanation:

Let X be a random variable .

Given: A normal population has a mean m=33 and standard deviation s = 9.

The probability that a randomly chosen value will be greater than 44 will be :-

[tex]P(X>44)=P(\dfrac{X-m}{s}>\dfrac{44-33}{9})\\\\=P(Z>\dfrac{11}{9})\\\\=P(Z>1.22)\\\\ =1-P(Z<1.22)\\\\=1-0.8888\\\\=0.1112[/tex]

Hence, the probability that a randomly chosen value will be greater than 44 = 0.1112

Answer 2

A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%

Given:

mean m=33

standard deviation s = 9

probability = ?

Solution:

(34-39)/9 = -0.5556

which mean

34 is -0.5556 standard deviations from the mean.Using the normal distribution table,

P(Z<-0.5556) ≈ 0.28774

or 28.774%

Thus, A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%

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Related Questions

100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis modeled by the graph.​

Answers

Answer:

Open points on 1 and 3 with ray connecting.

Step-by-step explanation:

Because it's right.

From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.

What is a quadratic function?

A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.

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A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?

Answers

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

[tex]60\:\times 2^{-2}[/tex]

[tex]=60\times \frac{1}{2^2}[/tex]             ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=\frac{1\times \:60}{2^2}[/tex]

[tex]=\frac{60}{2^2}[/tex]

[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]

[tex]=3\times \:5[/tex]

[tex]=15[/tex] gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

Population of California in the year 1995 was 32 million. If the population grows at a rate of 2%, what will the population be in 2025?

Answers

Answer:

hi 51.2 is the answer

Step-by-step explanation:have a good day.

The population of California in the year 2025 is approximately 57.96 million.

To calculate the population of California in 2025, we need to use the population growth formula:

Population in the future = Population in the present * [tex](1 + Growth rate)^{Number of years}[/tex]

Given:

Population in 1995 = 32 million

Growth rate = 2% = 0.02 (in decimal form)

Number of years = 2025 - 1995 = 30 years

Now, let's calculate the population in 2025:

Population in 2025 = 32 million * (1 + 0.02)³⁰

Population in 2025 ≈ 32 million * (1.02)³⁰

Population in 2025 ≈ 32 million * 1.8114

Population in 2025 ≈ 57.9648 million

Therefore, the population of California in the year 2025 is approximately 57.96 million.

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The teacher has 5 cups or broth to share amoung 4 students. draw a model and explain your answer.

Answers

Answer:

1.25,but your teacher is prolly looking for a fraction so 1 1/4

Step-by-step explanation:

DO NOT PUT 20 THAT PERSON S WRONG

4/5 divided by 1/5 in unit form

Answers

Answer:

answer to your question is 4

I also need help with this haha,, I'm bad at algebra 2

Answers

It’s C. (x-3)^2 = 17

**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?

A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.

B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.

C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.

D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.

Answers

Answer:

D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].

Step-by-step explanation:

Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).

If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:

[tex]a\cdot (0+3)^{2}-6 = 0[/tex]

And the value of [tex]a[/tex] is:

[tex]9\cdot a - 6 = 0[/tex]

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

And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].

Lastly, the standard form of the equation is found by algebraic means:

[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]

[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]

The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].  

In consequence, the right answer is D.

A glacier in Alaska moves about 29.9 meters a day. How much farther will it move in 1,000 days than in 100 days?|

Answers

The answer is 26,910 meters

Answer:

(1000x29.9)-(100x29.9)=29900-2990=26910

26910

Step-by-step explanation:

Q = x^2 - 15x + 56 = 0

Answers

Answer:

x = 8

x = 7

Step-by-step explanation:

Solving    x2-15x+56 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                     

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -15

                     C   =   56

Accordingly,  B2  -  4AC   =

                    225 - 224 =

                    1

Applying the quadratic formula :

              15 ± √ 1

  x  =    —————

                   2

So now we are looking at:

          x  =  ( 15 ± 1) / 2

Two real solutions:

x =(15+√1)/2= 8.000

or:

x =(15-√1)/2= 7.000

Answer

X: 7
X: 8

This would be the answer

Solve -2(x-5) + 3x = 2(x+3) + 17 *

Answers

Answer:

x=-13

Step-by-step explanation:

Hope this helped :)

Answer:

x = -13

Step-by-step explanation:

-2x + 10 + 3x = 2x + 6 + 17

x + 10 = 2x + 6 + 17

x + 10 = 2x + 23

10 = 2x + 23 - x

10 = x + 23

10 - 23 = x

-13 = x

x = -13

What is measure of arc NP?

Answers

Are you learning how to arc things

Help please and show ya work​

Answers

Answer:

D: 14.5

Step-by-step explanation:

4.1 = d - 10.4    add 10.4 to each side

14.5 = d

Answer:

14.5

Step-by-step explanation:

10.4 - 4.1 = 14.5

How to write 1 billion and 67.9 in expanded formp

Answers

Answer:

1,000,000,000+60+7+.9

Explanation:

Start by writing out 1 billion and then add the 67.9!

Find the first 5 terms of the sequence, and state its rule.
12n-12


Need it asap i will mark brainliest

Answers

Answer:

Sequence; 12, 24, 36, 48, 60, 72, 84, 89, 108...

12th value: 144

The sum of all numbers go through the 12th : 936

Step-by-step explanation:

Answer:

It’s rule is to find the first 5 terms of the variable “n”

Step-by-step explanation:

If EG=71 , find the value of x

Answers

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)

Answers

Answer:Find the slope of the original line and use the point-slope formula  

y

y

1

=

m

(

x

x

1

)

to find the line parallel to  

y

=

3

x

+

6

.

y

=

3

x

5

Step-by-step explanation:

4x^2+x^3 factorised





How do you do this?...

Answers

Answer:

X²(4+x)

Step-by-step explanation:

You pick out the common term

Greetings.

The answer is x²(4+x)

Explanation:

[tex]4x^2+x^3\\[/tex]

By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.

When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)

Similar to dividing, but we pull x² out.

[tex]4x^2+x^3\\x^2(4+x)[/tex]

Therefore, the answer/factored form is x²(4+x)

Find the value of x and y. Write your answers in simplest form.

Answers

Answer:

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

Step-by-step explanation:

Calculating (x):

Here, we make use of the tan formula

[tex]tan\theta = \frac{Opp}{Adj}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Adj = x[/tex]

This gives:

[tex]tan\ 60= \frac{16}{x}[/tex]

Make x the subject

[tex]x = \frac{16}{tan\ 60}[/tex]

tan(60) in surd form is [tex]\sqrt{3}[/tex]

So:

[tex]x = \frac{16}{\sqrt{3}}[/tex]

Rationalize

[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

Calculating (y):

Here, we make use of the tan formula

[tex]sin\theta = \frac{Opp}{Hyp}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Hyp= y[/tex]

This gives:

[tex]sin\ 60= \frac{16}{y}[/tex]

Make y the subject

[tex]y= \frac{16}{sin\ 60}[/tex]

tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]

[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]

[tex]y = 16/\frac{\sqrt 3}{2}[/tex]

[tex]y = 16*\frac{2}{\sqrt 3}[/tex]

[tex]y = \frac{32}{\sqrt 3}[/tex]

Rationalize

[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

Can you help me please

Answers

Answer:

f(-4)=3(4)^2-5(4)

16*3-20

48-20

f(-4)=28

Help please! I need an explanation but I dont understand this!!!!!!!

Answers

Answer:

its to small

Step-by-step explanation:

The $99.99 digital camera Mia purchased was on sale for 15% off. What
amount did Mia get off the price?

Answers

Answer:

84.99

Step-by-step explanation:

Can someone please help me if you know! Thank you

Answers

Answer:

D

Step-by-step explanation:

the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x

if josh's account balance is greater than it would be josh > vanessa or vanessa < josh

1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature? ​

Answers

Answer:

10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

98% of a number is 49 find the number using proportional reasoning

Answers

Answer:

98% of 50 is 49. 100% of 50 is 50, therefore 98 percent of 50 equals 49.

Step-by-step explanation:

Multiplying both sides by 100 and dividing both sides by 98,

we have x = 49 ×  

100 /98                           X=50

A chocolate chip cookie recipe needs 2 cups of chocolate chips and teaspoon of salt. If the recipe is increased to 6 cups of chocolate
chips, how many teaspoons of salt are needed?

Answers

Answer:

3 teaspoons

Step-by-step explanation:

Since we need 1 teaspoon for 2 cups, I would only assume we would keep adding a teaspoon for every 2 additional cups of chocolate chips.

2 + 2 + 2 = 6

We would need an additional teaspoon of salt for each of the sets of two.

9x - y power two - 20 ≥ 0 i need every passage​

Answers

Answer: photo

Step-by-step explanation:

I am not sure but hope it helps

Demarcus and Devon were working on this problem:
A phone costs $300. The price will increase by 15%
next week.
Devon thinks the new price of the phone will be $315.
Demarcus thinks it will be $345. Who is right?

Answers

Answer:

Demarcus is right the phone will cost $345

Step-by-step explanation:

15% of 300 = 45

300+45=345

What is 3(2+q)+15 simplified

Answers

Answer:

The Answer should be....

3q + 21

adding fractions with unlike denominators

Answers

Answer:

-5/6

Step-by-step explanation:

Multiplying numerators and denominators to get the LCD in all fraction denominators

=−7×38×3−1×83×8+3×38×3

Then rewriting the equation with the equivalent fractions

=−2124−824+924

With like denominators we can operate on just the numerators

=−21−8+924

=−2024

Simplifying the answer

=−56

-5/6
Hope it helps :D (Have a great day too)

Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.

Answers

Answer:

Step-by-step explanation:

Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    =  [tex]\frac{c-c}{a+b-b}[/tex]

                    = 0

Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    = [tex]\frac{0-0}{2a-0}[/tex]

                    = 0

Therefore, DE║BC because slopes of BC and DE are equal.

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