A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams.
a) about what percent of spiders in the colony weigh between 7 grams and 13 grams?
b) about what percent of spiders in the colony weigh less than 9 grams?
c) What is the z-score of a spider in this colony that weighs 15 grams?
d) Approximately 68% of all the spider weights would occur between what two weights.
Approximately 68% of all the spider weights would occur between ______and _______grams.
e) What percent of spiders in the colony weigh more than 15 grams?
REAL ANSWERS ONLY!

Answer:

Show the whole pic

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A is not correct because 1 does not equal 1/4 +1/4.

B is correct because 1/4*1 does equal 1/5. (and all the other ones)

C is not correct because 1 does not equal 1/4*1/4

D is not correct because 1/4 does not equal 1-1/4

Answer:

B

Step-by-step explanation:

Answer:

Usually reactions speed up with increasing temperature. Physical state of reactants. Powders react faster than blocks - greater surface area and since the reaction occurs at the surface we get a faster rate. The presence (and concentration/physical form) of a catalyst (or inhibitor).

Step-by-step explanation:

Answer:

One and Four

Step-by-step explanation:

Answer:

choices 1, 3, & 4 are true, 2 is not

Step-by-step explanation:

Answer:

15 total miles each hour

Step-by-step explanation:

for this situation and the information given in the question, all we have to do is divide the total amount by 3 (since its 1/3) to get the amount of total miles they drove at, wich is the speed they drove in this case

(sidenote: kinda slow if ya ask me but ok XD)

hope this helps you :D

Answer:

The answer is [tex]\sqrt{25}[/tex]

Step-by-step explanation:

Please mark brainliest

Answer:

h=141/t

Step-by-step explanation:

Answer:

I. The width is 43.5 inches.

II. The length is 24.5 inches.

Step-by-step explanation:

Let the length and width of the rectangle be L & W respectively.

Given the following data;

Perimeter of rectangle = 136 inches

Translating the word problem into an algebraic expression, we have;

L = W - 19 ......equation 1

Perimeter of rectangle = 2(L + W) ......equation 2

To find the dimensions of the rectangle;

136 = 2(L + W)

Substituting eqn 1 into eqn 2, we have;

136 = 2(W - 19 + W)

136 = 2(2W - 19)

136 = 4W - 38

4W = 136 + 38

4W = 174

W = 174/4

W = 43.5 inches

To find the length;

L = W - 19

L = 43.5 - 19

L = 24.5 inches

Answer:

The answer is x > 32.

Step-by-step explanation:

1) Subtract 12 from both sides.

[tex] \frac{x}{4} > 20 - 12[/tex]

2) Simplify 20 - 12 to 8.

[tex] \frac{x}{4} > 8[/tex]

3) Multiply both sides by 4.

[tex]x > 8 \times 4[/tex]

4) Simplify 8 × 4 to 32.

[tex]x > 32[/tex]

Therefor, the answer is x > 32.

Answer:

x > 9

Step-by-step explanation:

6x + 9 < 7x .    

-6x         -6x             <---- Subtract 6x from both sides.

       9 < x                <----- 7x - 6x = 1x (which can also be written as just x)

Therefore the answer is x > 9.

Answer:

The answer should be 120.512821\%

Step-by-step explanation:

1 To convert the fraction to a decimal, divide the numerator by the denominator.

235÷195

2 Use long division.

1.205128

3 To convert to a percent, multiply the decimal by 100.

1.205128×100=120.512821

4 Add the percent sign.

120.512821%

The surface area of the cone is 16π square units.

The surface area of the cone is given by;

⇒ Area = πrl + πr²

Here, We have;

A right cone has a slant height of 6 and a radius of 2.

Substitute all the values in the formula

⇒ Area = πrl + πr²

⇒ Area = π x 2 x 6 + π x 2²

⇒ Area = 16π

Hence, The surface area of the cone is 16π square units.

Learn more about the surface area here;

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Answer:

(0,-9), x = 0, (-3,0), (3,0), domain, -9

Step-by-step explanation:

Complete the square and you can read everything off the equation,

y  = x^2 - 9

= (x - 0)^2 - 9

Vertex : (0,-9)

Axis of symmetry: x = 0

x-intercepts:  x^2 = 9 -> x = ±3

Left x-intercept: (-3,0)

right x-intercept: (3,0)

Since the function is well-defined for any x-values,

we can say that its domain is the set of all real numbers.

Since the minimum point of the graph is (0,-9),

The range will be greater than or equal to -9.

Answer:

-

Step-by-step explanation:

-

Answer:

90 cm

Step-by-step explanation:

15 x 6 = 90

Answer: 48.9

Step-by-step explanation:

i just did it on delta math

Given:

Two numbers are 12 and 21

To find:

The factors of 12 and 21, then find the common factor and the greatest common factor.

Solution:

Two numbers are 12 and 21. The prime factors of these two numbers are

[tex]12=2\times 2\times 3[/tex]

[tex]21=3\times 7[/tex]

From the above factorization, it is clear that the factor 3 is common in both. So,

Common factor (CF) = 3

Only 3 is common in factorization of both. So,

Greatest common factor (GCF) = 3

Therefore, the common factor is 3 and the greatest common factor is also 3.

Answer:

Approximately $242,000

Answer: You are correct.

Step-by-step explanation: If you changed the amount of seats then it would effect the amount of tickets sold

The answer is, X = 12.

hope it helps.

Answer:

x = 12

Step-by-step explanation:

simlify 4/3 * (3x-12)

4x - 16 = 2x + 8

combine like terms, so subtract 2x by 4x

2x - 16= 8

then finish combining like terms, so 16 plus 8

2x = 24

divide 24 by 2

x = 12

Answer:

i havent did this in years BUt i will try the top would be the same as the bottom

Step-by-step explanation:

Answer:

Length × breadth × height

20×22×2= 880m cube

Answer:

Step-by-step explanation:

π/2 < 4π/5 < π

4π/5 is in Quadrant II

sin(4π/5) = y-coordinate of A

The coordinates is equal to sin(4π/5) = y-coordinate of A.

We need to find the coordinates is equal to sin (4pi/5).

In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.

In second quadrant(π/2 < θ < π), only sin and cosec are positive.

In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.

In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

Then, we have π/2 < 4π/5 < π

So, 4π/5 is in Quadrant II

Hence,  the coordinates is equal to sin(4π/5) = y-coordinate of A.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

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Answer: x^2/9 + y^2/4 = 1

Step-by-step explanation:

Answer: [tex]\frac{x^{2} }{9} +\frac{y^{2} }{4} =1[/tex]

Step-by-step explanation:

Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse [tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2}} =1[/tex].

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

[tex]\frac{x^{2} }{-3^{2}} +\frac{y^{2} }{2^{2} } =1[/tex]

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

Answer: 1st one is 1300

2nd one is 2100

Step-by-step explanation:

1st one is set on liability and property insurance

2nd one is set on interruption and auto insurance

Answer:

Pretty sure the answer would be 1

Step-by-step explanation:

Answer:

i think 2.7

Step-by-step explanation: