no work needed! pythagorean theorem.

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:

Step-by-step explanation:

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

Answer:

theres no picture

Step-by-step explanation:

Answer:

the algebraic equation would be

4n x 25

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:

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:

12.56

Step-by-step explanation:

C=2πR

Circumference equals two times Pi times radius

Answer:

growth because the numbers are clearly getting higher.

GROWTH

because each x theres more and more y

Answer:

m∠RST= m RT= 60°

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

✎--------------

hope it helps...

have a great day!!

Answer:

ummmm their isn't no picture showing

have a good day :)

Step-by-step explanation:

Answer:

13,505,599 good luck

Answer:

3675

3680-

0015

3670

15

18350

3670+

1202

Answer:

n = 37/62

Step-by-step explanation:

62n - 1 = 36

(Add 1 on both sides)

62n - 1 + 1 = 36 + 1

62n = 37

(Divide 62 on both sides)

62/62n = 37/62

n = 37/62

Answer:

n equals 0.596!

Step-by-step explanation:

62n − 1 = 36

62n = 36 + 1

62n = 37

n = [tex]\frac{37}{62}[/tex]

n = 0.596 (the number is huge but it can be written in short like this)

Answer:

y=2x+7

Step-by-step explanation:

Hi there!

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

we are given the slope (2), and a point (-3,1)

we can subsitute 2 as m into the equation

y=2x+b

we need to find b

Since the equation will pass through the point (-3,1), you can use it to solve for b.

substitute -3 as x and 1 as y

1=2(-3)+b

multiply

1=-6+b

7=b

therefore the equation of the line is y=2x+7

Hope this helps!

Answer:

The answer is below

Step-by-step explanation:

The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.

Firstly we have to convert the model length and width from inches to feet.

1 feet = 12 inches

model length =  1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.

model width =  1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.

Therefore:

Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8

Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8

Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²

Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²

Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64

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:

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

♣ 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:

B=44°

Step-by-step explanation:

x+10+3x+x=180

5x= 180-10

x=34

B= 34+10

B=44°

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

Step-by-step explanation:

this is the answer i guess

Answer:

3 A

Step-by-step explanation:

Current X = x

current Y = 2x -1

current Z = y + 2 = 2x - 1 + 2 = 2x + 1  

Here, x + y +  z = 15

x + 2 x - 1 + 2 x + 1 = 15

5 x = 15

x = 3 A

So, the current in x is 3 A.

Answer:

The volume would be 27

Hope this helps!

Brainliest??

Answer:

37.9%

Step-by-step explanation:

percentage that flew away = number that flew away /total number of birds x 100

number that flew away  = 29 - 18 = 11

9/29 x 100 = 37.9%

0.04

jndjnwjnc jwnfjnjwfjn jn jnwjnj njnfjbfwhijfkwb jnj nwjnjfjwkf n

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:

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.