Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2

Answer:

16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Step-by-step explanation:

Mean = 80 g

Standard Deviation = 2

We need to find percent of the cockroaches have weights less than 78 grams so, x=78

First we will find z using formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Putting values of x, mean and Standard Deviation to find z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]

We need to find P(z<-1)

Looking in the normal distribution table

[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]

So, 16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Answer:

$8.50 per pound

Step-by-step explanation:

51/6=8.5

The price of 1 pound is $8.5

An equation is a statement that relates expressions with constants or another expressions.

It is given that

6 pounds of chocolate costs $51

then let 1 pound of chocolate costs $x

The equation formed will be

x = $51/6 = $8.5

Therefore the price of 1 pound is $8.5

To know more about Equation

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#SPJ2

Answer:

Step-by-step explanation:

1,2222

2,3333

3,4444

4,5555

5,6666

6,7777

7,8888

8,9999

9,10101010

Answer:

wwwwwwwwwwwwwwwwwww

Answer:

-7/4

1/8

Step-by-step explanation:

1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)

(a). Convert to improper fractions;

(7/4) / (1/2 - 3/2)^3

(b). Simplify;

(7/4) / (-2/2)^3

(7/4) / (-1)^3

(7/4) / (-1)

-7/4

2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3

(a). Convert to improper fractions;

((7/4)/ (1/2)) - (3/2)^3

(b). Simplify;

((7/4)/ (1/2)) - (3/2)^3

((7/4)*(2/1)) - (27/8)

(7/2) - (27/8)

(28/8) - (27/8)

1/8

First question: 5, 10

Second question: 2, 3, 5

To solve this, plug each of the numbers into the inequality and circle the numbers that make the inequality true.

Answer:

C ≈ 18.85yd

Step-by-step explanation:

Answer:

1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

convert.

Answer:

$4500 each if he splits it eqaully

Step-by-step explanation:

9000÷2=4500

hope this helped (~‾▿‾)~

Answer:

1650

Step-by-step explanation:

66% = 66/100

66/100 times 2500 = 0.66 times 2500 = 1650

There were 1650 students

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

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

Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

Answer:

Step-by-step explanation:

Its the closed dot on 9. i just did the quiz. Your welcome.

Answer: the closed dots on 9 10 11 12 13 14

15

Answer:

240 mL

Step-by-step explanation:

60% of 400 is 240 mL! Your Welcome!

Answer:

the answer would be 240

Step-by-step explanation:

you have to take the percentage and turn it into a decimal by dividing by 100 and that gets you .6 and then you have to time 400 by .6 and then you get your answer

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.

Isoscelles triangles in plane shape concept are characterized by two equal sides.

On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.

Read more on isoscelles triangle;

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Answer:

6 eggs per chicken

Step-by-step explanation:

hdjdjidbdudbddjow0s

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

so the steps to doing this are as follows :

Subtract the accepted value from the experimental value.

Take the absolute value of step 1.

Divide that answer by the accepted value.

Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%

Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.

Extra: #1 Obtuse scalene triangle.

Sides: a = 4   b = 5   c = 1.051

Area: T = 0.724

Perimeter: p = 10.051

Semiperimeter: s = 5.026

Angle ∠ A = α = 16° = 0.279 rad

Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad

Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad

Height: ha = 0.362

Height: hb = 0.29

Height: hc = 1.378

Median: ma = 3.009

Median: mb = 1.517

Median: mc = 4.497

Inradius: r = 0.144

Circumradius: R = 7.256

Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]

Centroid: CG[-0.901; 0.459]

Coordinates of the circumscribed circle: U[0.526; 7.237]

Coordinates of the inscribed circle: I[0.026; 0.144]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 164° = 0.279 rad

∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad

∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad

Answer: 1,d 2,e 3,c 4,b 5,a

Step-by-step explanation:

Number is from top to bottom on left and letters are same way on right.

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

Algebra I

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

Step-by-step explanation:

Step 1: Define

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

Step 2: Write Vertex Form

Step 3: Write Standard Form

And we have our final answers!

Answer:

B.

Step-by-step explanation: The value of a ratio is the quotient of the two quantities in the ratio.

Answer:

B

the quotient of the two quantities in the ratio

Answer:

-4/7-5/7-6/7-3/14 ascending order

Answer:

The sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

Step-by-step explanation:

Given

-5/7, -3/14, 4/7, -6/7​

The least common denominator (LCD) is: 14

Rewriting as equivalent fractions with the LCD:

-5/7            -3/14            4/7          -6/7

-10/14          -3/14           8/14          -12/14

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

-6/7                -5/7              -3/14              4/7

-12/14     <      -10/14     <      -3/14        <   8/14

Therefore, the sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

Answer:

There is a 97.59% that diameter of the product will fall in the specified range.

Step-by-step explanation:

Let X be the r.v. the diameter of a product

X~N(12.5, (0.010)²)

P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)

Convert the x-values to corresponding z-values

[tex]Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\[/tex]

Then, using the standard normal distribution cumulative probability tables:

[tex]P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759[/tex]

Answer:

15,000g

Step-by-step explanation:

Answer: 15000 grams

Step-by-step explanation: To convert Kilograms to Grams, you'll need to multiply the mass value by 1000.

Answer:

The answer of CGF is 3.................

Answer:

3

Step-by-step explanation:

List the factors of each number

factors of 9 are 1, 3, 9

factors of 12 are 1, 2, 3, 4, 6, 12

The common factors are 1 and 3

GCF = 3

Answer:

triangle?

Step-by-step explanation:

Answer:

A circle

Step-by-step explanation:

can i get brainliest

Answer:

9 cups of flour

Step-by-step explanation:

6 / 2 = 3

3 • 3 = 9

Answer:

388

Step-by-step explanation:

We need to find the area of the semicircle and parallelogram separately and then combine.

The formula for the area of a semicircle is 1/2(pi*r^2)

r = 12. 12^2 = 144

1/2(pi*144) = 226..1946711 which we can just round to 226

The formula for the area of a parallelogram is bh

b = 18, h = 9. 18*9 = 162.

226+162 = 388

Answer:

Step-by-step explanation:

total area = semi circle + parallelogram

                = (1/2 π 6²)  +  (9 x 18)

                = 56.55  + 162

                = 218.55 sq. units

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor  [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]

[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]