Type the correct answer in the box. Use numerals instead of words.
Adrian has a bag full of pebbles that all look about the same. He weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams.

What percentage of the pebbles weigh more than 2.1 grams? Round to the nearest whole percent.

Answer:

Conclusion:

Step-by-step explanation:

Checking -a - 1

From the given line number, we can determine that

The value of a will be negative because it is located on the left side of the origin 0.

i.e. value of a > -2

so

-a - 1 will be positive because if we put the value a = -1.5 let say

then

-a - 1 = -(-1.5) - 1 = 1.5 -1 = 0.5

Therefore, -a-1 will be positive.

Checking -b + 2

As b > 2

putting b = 2.1        (taking the value of b slighly above than 2)

-b+2 = -2.1+2 = -0.1

Therefore, -b + 2 will be negative.

Conclusion:

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

[tex]x^2+9x+9\:=0[/tex]

[tex]\left(x+3\right)^2=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x+3=0[/tex]

Subtract 3 from both sides

[tex]x+3-3=0-3[/tex]

[tex]x = -3[/tex]

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

Answer:c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

363

Step-by-step explanation:

Answer:

363 ft in 11 seconds

Step-by-step explanation:

Your welcome

Answer:

21

Step-by-step explanation:

21 is the ans

Answer:

22.5 divide by 2.5

Step-by-step explanation:

=9 hope this helps

Answer: B) 13 & 1/2

========================================================

Explanation:

There are a few ways to approach this problem. It might be easiest to convert all the fractions to decimal form

1/2 = 0.5

3/4 = 0.75

6 & 3/4 = 6 + 3/4 = 6 + 0.75 = 6.75

The problem is rephrased as: "How many 0.5 cup servings in a box of oatmeal that contains 6.75 cups of oatmeal?"

To find out, we divide the two values (large over small) to get 6.75/0.5 = 13.5

Then convert back to a mixed number:

13.5 = 13 + 0.5 = 13 + 1/2 = 13 & 1/2

--------------------

Side note: The reason why we divide is due to this

x = number of servings

0.5x = total number of cups = 6.75

So we're effectively solving the equation 0.5x = 6.75, in which we divide both sides by 0.5

Answer:

Solution in photo

Step-by-step explanation:

Answer:

In the 15th century, Europe sought to expand trade routes to find new sources of wealth and bring Christianity to the East and any newly found lands. This European Age of Discovery saw the rise of colonial empires on a global scale, building a commercial network that connected Europe, Asia, Africa, and the New World.

[tex]\Large\boxed{\tt Answer: Angle ~CDE}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

Since the sum of the interior angles of a triangle is always 180º, we know that ∠CED and ∠ECD are less than 87º altogether. This is because 93º + 87º = 180º. 87º is already less than 90º, so we know that ∠CDE is the largest angle of this triangle.

Answer:

True

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Can I get brainliest

C because it is the only option that depicts 2 blue marbles and one red one

Answer:

Step-by-step explanation:

whatever nobody cares and that person gave you the wrong answer

Answer:

Step-by-step explanation:

what are your books about?

Answer:

$8

Step-by-step explanation:

Answer:

it is 9 dollars

Step-by-step explanation:

you do 5 x x =45 x is 9

Answer:

B, [tex]10^{2} + 5^{2}- 2(10)(5)cos(75)[/tex]

Step-by-step explanation:

Using the law of cosines, which is [tex]c^{2}=a^{2}+b^{2}-2ab cos(C)[/tex], you can simply insert all the values.

c=|u+v|

a= r value of u (10)

b= r value of v (5)

To find  C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.

I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 =  C

so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)

Answer:

its B

Step-by-step explanation:

Just got it right on edge

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

Answer:

22.5 divided by 3=7.5

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15 different combinations of 2 vegetables are possible

Answer:

I belive 14,203

Step-by-step explanation:

Answer:

x = 1 and y = 1.5

Step-by-step explanation:

Given that,

12y-6x=12 ..... 1​

8y+4x=16 ...... 2​

Equation (1) can be written as :

2y-x = 2 ... (3)

Equation (2) can be written as :

2y + x = 4 .... (4)

Adding equation (3) and (4)

2y-x + 2y + x = 2 + 4

4y = 6

y = 1.5

Put y = 1.5 in equation (3).

2(1.5)-x = 2

3-x=2

x =1

Hence, the solution of the above equations are (1,1.5).

The statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Angle

When two straight lines or rays intersect at a shared terminal, an angle is generated. The angle can be measured in degrees or radians.

Let us discuss all four options.

The measure of a whole circle is [tex]360^{o}[/tex]

(A) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]36^{o}[/tex]" is false.

(B) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]1^{o}[/tex]" is false.

(C) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

(D) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]12^{o}[/tex]" is false.

Therefore, option (C) is correct.

Hence, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Learn more about angle here-

https://brainly.com/question/13954458

#SPJ2