Find the value of x. Help fast me need help

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{500 - 490}{20}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

The probability is 0.3085.

Let X=the amount of minerals.

We have to find P(X≥500).

Mean = 490.

Standard deviation = [tex]\sqrt{400}=20[/tex].

z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].

So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.

Learn more: https://brainly.com/question/14109853

Answer:

[tex]2\sqrt{2} \text{ mi}[/tex]

Step-by-step explanation:

See the attached image for a picture of the situation.  The angle of depression lets you find the angle next to it but inside the triangle.  It, too, must measure 45 degrees.

That means the triangle is an isosceles triangle (two legs of equal length).

Apply the Pythagorean Theorem.

[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]

Answer:

A government by the people

Step-by-step explanation:

Answer:

b = t + 45

Step-by-step explanation:

Position of hot air Ballon = 45 meters above tall seat building ;

Height of tall seat building = t

Height of Ballon, b = height of tall seat building + 45 m

Hence,

b = t + 45

Answer:

theres no picture

Step-by-step explanation:

♣ explanation ♣

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Add 8 ounces onto 5 to get 13, and then, add the unit fraction 1/4 onto it and you get 13 1/4 as your non-simplified mixed number answer.

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But wait! The answer must be simplified into the mixed number, "5 3/4" by dividing the current answer by 8 1/2, or any other number that involves similarities to the fractions' characteristics.

Answer:

Here is ur answer!!!! have a nice day ahead...

Answer:

Distributive Property

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line has to go down when x move to the right due to the negative slope. So B and C cannot be right.

The line has to pass through (0,3), that's the y-intercept, so A and D can still both be right.

For every step to the right, the line has to move 2 down (slope -2). Only A does that. D moves 0.5 down for every step to the right.

Answer:6 events

Step-by-step explanation:

13505+ 18.5x =13616

Answer:

B. 4 cups

Step-by-step explanation:

trust me

Answer:

Step-by-step explanation:

The first answer is correct because you are really not changing anything about the question

Answer:

0, one solution

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

7x+3=4x+3 only has one solution which is x = 0.

Hope this helps! :)

Try using symbolab if you're confused

Answer:

a) (15 × 32) + (15 × 68)

b) Distributive property

c) $1500

Step-by-step explanation:

A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,

a. Write a numerical expression for the given statement.

The numerical expression for the given statement is written as:

$15 × 32 liters + $15 × 68 liters

15 × 32 + 15 × 68

B. Which property of whole numbers would you use to form a numerical expression for the given statement?

The property that I would use to form a numerical expression is a distributive property

a × (b + c) = (ab + ac)

Where a = $15

b = 32 liters

c = 68 liters

Hence:

15 (32 + 68) = (15 × 32) + (15 × 68)

C. How much money he gets per day for the supply?

The amount he gets per day:

15 (32 + 68) = (15 × 32) + (15 × 68)

= $1500

Answer:

[tex] k = 24 \sqrt{2} [/tex]

Step-by-step explanation:

Given is a 45° - 45° - 90° triangle.

According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.

[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24*[tex]\sqrt{2}[/tex] =k*1

24[tex]\sqrt{2}[/tex] =k

Answer:

D, x=-28

Step-by-step explanation:

Answer:

[tex]x=-28[/tex]

Step-by-step explanation:

[tex]\frac{9}{x} +\frac{1}{4} =\frac{2}{x}\\[/tex]

Move [tex]\frac{9}{x}[/tex] over the equal sign

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

[tex]\frac{1}{4} =\frac{-7}{x}[/tex]

Cross multiply

[tex]4*-7/x[/tex]

[tex]\frac{-28}{x}[/tex]

[tex]x=-28[/tex]

Hope this is helpful

Answer:

ummmm their isn't no picture showing

have a good day :)

Step-by-step explanation:

Answer:

The answer is 6.3

Step-by-step explanation:

Answer:

answer is 30π cm

Step-by-step explanation:

use formula=2πr

=2*π*r

=2*π*15

=30π

Answer:

30[tex]\pi[/tex]

Step-by-step explanation:

So there is one thing we need to remember to solve thi:

circumfernce = 2[tex]\pi[/tex]r.

We know r(radius) is 15.

Lets plug that in:

2[tex]\pi[/tex]15

Multiply the 2 and 15 together:

30[tex]\pi[/tex]

So, depending on your math teacher, or math question, you might be required to write this in a different form.

So in your case, it seems the answers are written in terms of [tex]\pi[/tex], however sometimes you need to multiply your number by

30[tex]\pi[/tex]

Or

94.248

Looking at your answers, it seems 30[tex]\pi[/tex] is the third answer down.

Hope this helps! :D

Answer:

The correct answer is "4.5 liters". A further explanation is provided below.

Step-by-step explanation:

Let the solution needed be "x".

then, according to the question,

⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]

By solving the above expression, we get

⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]

⇒                [tex]0.04 x=0.54-0.36[/tex]

⇒                [tex]0.04x=0.18[/tex]

⇒                      [tex]x=\frac{0.18}{0.04}[/tex]

⇒                         [tex]=4.5 \ liters[/tex]

Answer:

20 feet

Step-by-step explanation:

66/3.3

it's twenty i dont know what else to say

Answer:

20m

Step-by-step explanation:

1m = 3.3ft

66 feet = 20m

Answer:

12.56

Step-by-step explanation:

C=2πR

Circumference equals two times Pi times radius

Answer:

13,505,599 good luck

Answer:

3675

3680-

0015

3670

15

18350

3670+

1202

Answer:

9

Step-by-step explanation:

I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.

Answer:

9 divided by 21

Step-by-step explanation:

17

Answer:

(1, -11)

The correct answer is B

Answer:

Step-by-step explanation:

Answer:

625 π cm^3

Step-by-step explanation:

volume of a cylinder = πr^2h

π = 22/7

r = radius = 10/2 = 5cm

the diameter is the straight line that  passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

π x (5^2) x 25 = 625 π

Answer:

growth because the numbers are clearly getting higher.

GROWTH

because each x theres more and more y