Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard deviation is 32.

Question 13 options:

.8461


.8944


.1056


.1539

Answers

Answer 1
I think it is c not sure tho
Answer 2

Second option is correct. That is the probability of being below 514 with the mean  474  and standard deviation 32 is 0.8944.

What is normal distribution?

A function that represents the distribution of many random variables as a symmetrical bell shaped graph.

The normal distribution is a probability distribution, so the total area under the curve is always 1 or 100%.

What is z-score?

A z-score is a numerical measurement that describes a value's relationship to mean of a group of values.

Formula for calculating z-score

z = (x -μ)/σ

where,

z is standard score

x is observed value

μ is mean of sample

σ is standard deviation of sample

According to the given question

we have

x = 514

μ = 474

and

σ =32

therefore,

Z- score will be

Z = (514 -474)/32 = 1.25

So, the area under the normal distribution curve z<1.25

⇒ P(x<1.25) = P(Z<1.25) = 0.894

Hence, second option is correct one. That is, the probability of being below 514 if the mean of a normal distribution is 474and the standard deviation is 32 is 0.894.

Learn more about the probability under normal distribution here:https://brainly.com/question/15103234

#SPJ2


Related Questions

Find the area and perimeter please solve with explanation

Answers

Perimeter of the yellow shape:

27m

because

6.3+7.2+2.8+4.9=21.2

then to find the 2 other sides you need to

7.2-4.9=2.3

and

6.3-2.8=3.5

GRADE 8 MAIN
SESSION 2 /
Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video
games at the same store for $410.
Each game system costs the same.
• Each video game costs the same.
What is the cost, in dollars, of one game system?
Enter your answer in the box.
$

Answers

Answer:

jason shdudbuasd

Step-by-step explanation:

$270 for one game system.

5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions

Answers

Answer:

answer is in the picture

In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?

Answers

Answer:

8 °C

Step-by-step explanation:

Step 1: Given data

Initial temperature value (T1): -10 °C

Final temperature value (T2): -2 °C

Step 2: Calculate the change in temperature from the morning to the afternoon

To calculate the change in the temperature, we have to perform the subtraction T2 - T1.

ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C

The temperature change is positive, meaning that the temperature increased.

help me out please <3

Answers

Answer:

Step-by-step explanation:

67,68,69,69,69,71,71,72,73,75

median=(N+1)/2(N=no of data)

=(10+1)/2

=11/2

=5.5

(5 th +6 th) /2term

69+71/2

140/2

70

therefore median=70

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

I NEED THIS ANSWER After simplifying, which expressions are equivalent? Select three options.
(3.4a – 1.7b) + (2.5a – 3.9b)
(2.5a + 1.6b) + (3.4a + 4b)
(–3.9b + a) + (–1.7b + 4.9a)
–0.4b + (6b – 5.9a)
5.9a – 5.6b

Answers

Answer:

1, 3, 5 are correct

Step-by-step explanation:

1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b

2. (2.5a + 1.6b) + (3.4a + 4b) =   5.9a + 5.6b

3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b

4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a

5. 5.9a – 5.6b = 5.9a – 5.6b

show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

(-5 , -5)  & (-1 , 3)

Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]

m = 2 & (-5 , -5)

Y -y1 = m(x -x1)

y - [-5] = 2(x - [-5] )

y + 5 = 2 (x + 5)

y+ 5 = 2x + 2*5

   y = 2x + 10 - 5

   y = 2x + 5

subtract -2/15 from -3/5 and add the result to 5/6​

Answers

Answer:

6/5

Step-by-step explanation:

-3/5-(-2/15)+5/6

-3/5+2/15+5/6

=-3+2×5/15 + 5/6. (taking lcm)

=-3+6/15+5/6

=3/15+5/6

=3+5×3/15 (taking lcm)

=18/15

=6/5

Answer:

Step-by-step explanation:

-3/5-(-2/15)+5/6

=-3/3+2/15(take lcm of 3 and 15)+5/6

=-3*3+2*1/15+5/6

=-9+2/15+5/6

=-7/15+5/6(take lcm of 15 and 6)

=-7*2+5*5/30

=-14+25/30

=11/30

=11/30

Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answers

X = 2,-7


I’m pretty sure it’s this

Answer:

x=2

Step-by-step explanation:

X^2+5x-14=0

x^2-2x+7x-14=0

7x-14=0

x=2


When she was born, Tabitha’s rich aunt put $10,000 in a bank account in Tabitha’s name to be saved for her college education. The account earns 6% annual interest.

Martin's family opened an account when he was born. They started by putting $15,000
in this account and then his family added $50 a month, which is $600 per year to his
account. The account did not earn interest over time.
a. Make a table showing the value of each account of each year for 5 years. Round
your answers to the nearest dollar. Explain what calculations you used to find
the missing entries.

Answers

Answer:

Step-by-step explanation:

John deposited $2,100 into his bank account. The bank will pay 1.5% interest compounded annually on his account. He plans on leaving his money in there with no additional deposit for 5 years. Which formula would you use to determine how much money he has after 5 years?

Answers

U I uwu uwsuwuwuwUWU

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

First, draw the diagram.

We have the variable, l.

Then, we have:

tan angle=opposite/adjacent

So plug it in, it will be:

tan 60=l/50m

So then l=tan60*50m.

tan60=1.732

l=1.732*50m

and so out answer ends up being 86.6m.

Note: I don't know if this is the best way but...that's how I did it.

mary walked 2.1 hours along part of the trans canada trail at a speed of 3.6 km. what distance did mary travel

Answers

Answer:

7.66 km

Step-by-step explanation:

2.1x3.6=

2.1x6=1.26

2.1x3=6.40

1.26+6.40=7.66

I need a answer for this

Answers

Answer:

148 i think i’m not sure

Step-by-step explanation:

Answer:

Hello! answer: b = 24

Step-by-step explanation:

25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!

these triangles are congruent by which triangle congruence postulate ?

Answers

(a) SSS (side side side)
every side on one triangle is correspondingly equal to that of the same side in the other triangle

THIS IS URGENT PLEASE GAW DAMMIT ;-;
Using the graph, determine the coordinates of the x-intercepts of the parabola.

Answers

Answer:

i believe the answer would be -1 and 6

Answer:

Coordinates are (5,0) & (7,0)

Just refer to the point where the graph intersects the x-axis I think.

Write a unit rate for the situation. 1080 miles on 15 gallons
Miles per gallon

Answers

Answer:

72 miles / gallon

Step-by-step explanation:

1080/15 = x/1

1080 / 15 = 72

72 miles on 1 gallon

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

y = 2x + 1 y = 3x - 1

Answers

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :

2x + 1 = 3x - 1

Add both sides 1

2x + 1 + 1 = 3x - 1 + 1

2x + 2 = 3x

Subtract both sides 2x

2x - 2x + 2 = 3x - 2x

x = 2

( This is the x-coordinate of intersection point )

_________________________________

Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :

y = 2x + 1

y = 2(2) + 1

y = 4 + 1

y = 5

_________________________________

Thus :

intersection point = ( 2 , 5 )

So the correct answer is option B .

I need a answer for this

Answers

Answer:

6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 +64=100

a^2 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Perimetrul unui teren de sport este de 224m. Alfa lungimea si latimea terenului, daca latimea este cu 8m mai mare decat 1/3 din lungime

Answers

Answer:

I. L = 78 metros

II. W = 34 metros.

Step-by-step explanation:

Deje que la longitud del rectángulo sea L. Deje que el ancho del rectángulo sea W.

Sabemos que un campo deportivo tiene forma rectangular.

Dados los siguientes datos;

Perímetro del rectángulo = 224 m

Traduciendo el problema verbal a una expresión algebraica, tenemos;

W = ⅓L + 8 = L/3 + 8

Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;

P = 2 (largo + ancho)

Sustituyendo en la ecuación, tenemos;

224 = 2(L + [L/3 + 8])

224 = 2L + 2L/3 + 16

Reordenando la ecuación (recolectando términos semejantes), tenemos;

224 - 16 = 2L + 2L/3

224 - 16 = 8L/3

208 = 8L/3

Multiplicación cruzada, tenemos;

8L = 208 * 3

8L = 624

L = 624/8

L = 78 metros

Para encontrar el ancho;

W = L/3 + 8

W = 78/3 + 8

W = 26 + 8

W = 34 metros.

YOULL GET BRAINLEST JUST ANSWER THIS CORRECTLY!!!

Answers

Answer:

area of circle=π[tex]r^{2}[/tex]

452.1=3.14[tex]r^{2}[/tex]

452.1/3.14=[tex]r^{2}[/tex]

143.98=[tex]r^{2}[/tex]

[tex]\sqrt{143.98}[/tex]=r

11.99=r

now ,

diameter=2r

=2*11.99

=23.98

Step-by-step explanation:

I NEED HELP PLEASE IT WOULD REALLY MEAN AOT !!!!

NO ZOOMS OR LINKS!!!!

Answers

Answer:

20.78

Step-by-step explanation:

sin a = perpendicular/ hypotenuse

where a is the base angle

here a = 60

sin 60 = 18/ x

since,

[tex] \sin(60) = \ \frac{ \sqrt{3} }{2}[/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{18}{x} [/tex]

√3 x = 36

x = 36/ √3

x = 36/ 1.732

x = 20.78

maddyross91 ! i’ll give brainliest please help

Answers

Answer:

Symbol

Step-by-step explanation:

the object symbolizes something else

Answer:

C. Symbol

Step-by-step explanation:

Symbol-a mark or character used as a conventional representation of an object, function, or process, e.g. the letter or letters standing for a chemical element or a character in musical notation.

please answer!!

Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and yintercept at (0, -1)?

A. y= 4x+1
B. y= 1x-1
C. y=-x-1
D. y= 4x-1

Answers

Hi there!

[tex]\large\boxed{\text{ B. } y = 1x - 1}[/tex]

Recall that the equation of a line is:

y = mx + b, where:

m = slope

b = y-value of the y-intercept.

We are given that the slope is 1 and the y-intercept is -1, so:

m = 1

b = -1

The correct equation is B. y = 1x - 1

A drawer contains 4 red socks, 6 white socks, and 10 blue socks. Without looking, you
draw out a sock and then draw out a second sock without returning the first sock.
What is the probability that the first sock and the second sock are both white.

Answers

Answer:

[tex]\frac{3}{38}[/tex]

Step-by-step explanation:

[tex]\frac{6}{20}\cdot \frac{5}{19}=\frac{30}{380}=\boxed{\frac{3}{38}}[/tex]

Answer:

3/38

Step-by-step explanation:

So, you add the total numbers of socks and the total is 20. Since there is 6 white socks the first time you pick, your first fraction is 6/20 (3/10). So since you didn't put the first sock back, now the probability of picking another white sock is 5/19. So now multiply your fractions, and your answer should be 15/190 (Simplifyed 3/38)

If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs?

Answers

Answer:

8.94

Step-by-step explanation:

Given that

qs = 12cm

qr = 8cm

Required

rs

Using the pythagoras theorem

Let us assume qs is the hypotenuse side

qs² = qr² + rs²

12² = 8² + rs²

144 = 64 +rs²

rs² = 144 - 64

rs² = 80

rs = √80

rs = 8.94

Hence the value of rs is 8.94

9. For the function defined by the equation y = 2x^2 -10, which of the following represents the
output when the input is -3?
(1) 6
(3) -10
(2) 8
(4) -28

Answers

Answer:

8

Step-by-step explanation:

y = 2x^2 -10

Let x = -3

y = 2( -3)^2 -10

y = 2 (9) -10

y = 18-10

y = 8

If y =-3, than 4+y/4y=

Answers

answer:1/-12



4+y/4y
y=-3
4+(-3)/4(-3)
4-3=1
4(-3)=-12
1/-12

Answer:

6.25

Step-by-step explanation:

4+3 ÷ 4×3 = 6.25

or

25/4

or

6 1/4

How many triangles can be drawn with one 90o ​angle, a 70° angle, and an included side measuring 3​ inches? Explain. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer:

2

Step-by-step explanation:

This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.

So, x + 90° + 70° = 180°

x + 160° = 180°

x = 180° - 160°

x = 20°

So, the third angle is 20°.

If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.

The included side can be either side other than the hypotenuse.

Also, either of the third angle in each triangle can be 20°

So, we have two sides and two triangles.

If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.

Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.

So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.

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