Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x <47)?
A. 0.16
B. 0.025
C. 0.975
D. 0.84

Answers

Answer 1

Answer: A

0.16

Step-by-step explanation:

just took it


Related Questions

find the midpoimt of the line segment between the points (4,-7) and (12, -1)

a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)​

Answers

Answer: a. (8, -4)

Step-by-step explanation:

The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.

Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])

∴ for a line segments with endpoints (4,-7) and (12, -1),

 Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])

                = ( [¹/₂ (16)] , [¹/₂(-8)])

                = (8, -4)  (OPTION A)

Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?

Answers

Answer:

10800

Step-by-step explanation:

Answer:

9220 Yan na ang true answer

Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.​​

Answers

Hello haohaoxNienie!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

Refer to the attached picture.

Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.

Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

__________________

Hope it'll help you!

ℓu¢αzz ッ

The additive inverse of a - b is?

Answers

Answer:

its b - a

Step-by-step explanation:

the additive inverse of a − b is −(a − b) which can be simplified to b − a.

PLS HELP me!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

The measure of the angle ∠ABC is 108°

Step-by-step explanation:

An isosceles triangle has two equal sides and two equal angles

In this problem

∠BDA=∠BAD= 66° ----> the angles of the base are equals

Find the measure of the vertex angle

∠ABD = 180° - 2×66° = 48° (the sum of the internal angles of a triangle is                                              equal to 180°)

then. Find the measure of the angle  ∠CBD in the equilateral triangle we know that

The measure of the internal angle in a equilateral triangle is 60° so

∠CBD= 60°

Then find the measure of the angle ∠ABC

∠ABC=∠ABD+∠DBC

substitute the values

∠ABC= 48°+60° = 108°

The answer is 108°

The measure of the angle ∠ABC is 108°

Answer:

108 degrees

Step-by-step explanation:

Hi there!

1. Determine the measure of angle DBC

2. Determine the measure of angle ABD

3. Add them to determine the measure of angle ABC

We're given that triangle ABD is isosceles and triangle BCD is equilateral.

Because BCD is an equilateral triangle, all of its interior angles at 60 degrees.

Therefore, the measure of angle DBC is 60 degrees.

Triangle ABD is isosceles, so therefore, angle ADB is also 66 degrees.

The sum of the interior angles of a triangle is 180 degrees. Therefore, the measure of angle ABD is 180-66-66, which is 48 degrees.

To find ABC, add 60 and 48:

60+48 = 108

Therefore, angle ABC measures 108 degrees.

I hope this helps!

Que. 19. In the equation x = 2y + 9, if x = 1, than y =​

Answers

Answer: y = -4

Step-by-step explanation:

If x = 1

1 = 2y + 9

1 - 9 = 2y

-8 = 2y

y = -8/2

y = -4

please give me a brainliest answer

Answer:

[tex]y = ( - 4)[/tex]

Step-by-step explanation:

Given that,

[tex]x = 1[/tex]

Question :

[tex]x = 2y + 9[/tex]

You have to find the value of y. So, make the y as the Subject

[tex]x = 2y + 9 \\ x - 9 = 2y \\ \frac{x - 9}{2} = \frac{2y}{2} \\ \frac{x - 9}{2} = y[/tex]

Now replace 1 instead of x

[tex]y = \frac{x - 9}{2} \\ y = \frac{1 - 9}{2} \\ y = \frac{ - 8}{2} \\ y = - 4[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet. What is the height of the tunnel 4 feet from the edge? Round your answer to the hundredths place.

4.01 feet
9.37 feet
13.08 feet
29.85 feet

Answers

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Given:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.

Find:

The height of the tunnel 4 feet from the edge is.

Let us consider,

The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider

[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]

Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.

Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:

[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]

If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet  from the center of the tunnel.

Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,

[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]

Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

For further details,please prefer this link:

https://brainly.com/question/13447584

Answer:

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Step-by-step explanation:

because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!

The coefficient of x in the expansion of (x+3)(x - 1) is

Answers

Answer:

^2+2−3

Step-by-step explanation:

Answer: the coefficient of x in the expansion is 2

Step-by-step explanation:

(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)

which equals x^2 -x +3x -3 which is x^2 +2x -3

the leading coefficient of x^2 1. and the coefficient of x is 2.

tan9°. tan27°. tan45°. tan72°. tan81°= 1​

could u plz solve it with clear process

Answers

Correct question:-

Prove that tan9.tan17.tan45.tan73.tan81=1

LHS

[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]

[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]

[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]

[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]

[tex]\\ \sf\longmapsto 1.1[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!​

Answers

9514 1404 393

Answer:

  sum = 1

Step-by-step explanation:

The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.

__

In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.

Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).

_____

You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...

  [tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]

Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...

  (1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4

This means the given sum will evaluate to ...

  1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series

A 3-sided polygon that contains a 90° angle is called:

Question 3 options:

A) Pythagorean theorem
B) hypotenuse
C) right triangle
D) Legs

Answers

Answer:

c right triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A: Method that is used to find either the legs or the hypotenuse of a right triangle.

B: Diagonal line of a right triangle, also used in the Pythagorean Theorem

C: 3-sided shape with a 90-degree angle

D. Lenth and height of a right triangle, used in the Pythagorean Theorem

1200 divided by 95 explanation answer

Answers

Answer:

12.6

Step-by-step explanation:

You would get 12.6315789474 but you round to the nearest tenth.

the answer is 12.6!
you would get 12.6315789 but you round to the nearest tenth.

I got the rest please answer for last question!

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

see if that's correct? I'm not quite sure

What is the equation for the line that is parallel to the x-axis and passes through the point (5, -2)?

Answers

Answer:

y = -2

Step-by-step explanation:

Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?​

Answers

Answer:

$ 500

Step-by-step explanation:

Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)

Kim buys a dress for $65 and some shirts for $15 each. Linda buys some shoes for $50 and some shirts for $20. If the girls spend the same amount of money and get the same number of shirts, how many shirts did they get?

Define a variable:
Write an Equation or Inequality:

Answers

Answer:

5 shirts

Step-by-step explanation:

we can use the problem to get an equation:

65+15x=50+20x

subtract 50 from each side to get:

15+15x=20x

subtract 15x from each side to get:

15=5x

divide each side by 5 to get your answer:

x=5

HELP ME WITH ANGLES PLEASE>

Answers

x = 33

hope i helped <3

Answer:

x = 33

Step-by-step explanation:

Pls brainliest I knew it because of K12

someone please help me

Answers

Answer:

the slope is -2

Step-by-step explanation:

Answer:

1/1 = 1

Step-by-step explanation:

Use rise/run.

The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).

1/1 can then be converted to 1.

Apply the distributive property:
-3(x+2) =

Answers

Answer:

-3x-6

Step-by-step explanation:

you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6

Hello skm413002!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Apply the distributive property:

-3(x+2) =

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

By applying the distributive property, we can solve it as....

[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]

Method :-Distributive property.

Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Which fraction is equivalent to 3/10?

Answers

Answer:

[tex]\frac{12}{40\\}[/tex]

Step-by-step explanation:

[tex]\frac{3}{10}[/tex] × [tex]\frac{4}{4} =\frac{12}{40}[/tex]

help fast pleaseee
NO RANDOMS

Answers

Answer:

44.8

Step-by-step explanation:

Take the second number and subtract the first number

44.4 - (-.4)

Subtracting a negative is like adding

44.4 +.4

44.8

Answer:

[tex]D.44.8[/tex]

Step-by-step explanation:

The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.

- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).

Multiply
(-4-71)(3 – 52)
Enter your answer, in standard form

Answers

The equations (-75)(-49)=3,675 the answer

20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...

Answers

Answer:

x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

12x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 12 × - 5 = - 60 and sum = + 4

The factors are - 6 and + 10

Use these factors to split the x- term

12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )

6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(6x + 5) = 0

Equate each factor to zero and solve for x

6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

list the coordinate for both pairs.

Answers

Answer:

Hi I hope this helps

A = X : -3 Y : -3

B = X : -2 Y : 1

Step-by-step explanation:

please let me know if it's right or wrong

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (6,9)² + (5,3)²

x² = 47,61 + 28,09

x² = 75,7

x = 8,7yd

PLS ANSWER!!

32-2(1+3) squared

Answers

Answer:32-2=30 30+1+3=34 . Ans:34

Step-by-step explanation:

Answer:

32-3(4)

24

24 squared is

576

I need help finding the x

Answers

Answer:

the answer is x=11......

Multiply. Write the answer in the simplest form.

4/7 x 4 3/8 x 5/6

Answers

Answer:

2 1/12

The answer should be 2 1/12

(Two and one over twelve)

or

(Two and a one twelfth)

Answer:

2.1

Step-by-step explanation:

...........................

Sage needs 2 boards to make a shelf. One board is 260 cm long and the other is 1 1/4 m long. What is the total length of the shelf?

Answers

Answer:

385

Step-by-step explanation:

1 1/4 meters = 125 cm

125+260 = 385

Answer:

sum = 260 + 270  = 535  cm or = 5,35 m

Step-by-step explanation: take 11/4m = 2,75m * 100 = 275 cm

Determine what type of model best fits the given situation:



A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection

Answers

Answer:

A. none of these

Step-by-step explanation:

It's an absolute value function such as : y = 3*| x-1 |

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