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Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. What is the probability distribution for the 30 pieces of fruit, in the order listed?

Answer:

C. 170

Step-by-step explanation:

68/4=17

17 is 10% of the unknown number

17 times 10 is 170

Answer:

Step-by-step explanation:

68 is 40% of what number?

A.17

B.136

C.170

D.270

68 : 40 * 100 = 170

Counterexamples are simply used to disprove conjectures.

(a) Elephants and Giraffes

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

There are sometimes more elephants in a zoo than giraffes

The word "sometimes" disproves the original conjecture

(b) The oldest leatherback sea turtle

This conjecture is not true.

This is so because the oldest leatherback sea turtle in captivity is actually 400 years old.

So, the conjecture can be disproved by the following counterexample

The oldest leatherback sea turtle in captivity is 400 years old.

(c) American bison

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

American bison are sometimes over 6 feet tall

The word "sometimes" disproves the original conjecture

Read more about conjectures and counterexamples at:

https://brainly.com/question/1619980

Let [tex]f^{-1}(x)[/tex] be the inverse of

[tex]f(x) = 3 \log_3 (x + 3) + 1[/tex]

Then by definition of inverse function,

[tex]f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]

Solve for the inverse :

[tex]3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]

[tex]3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1[/tex]

[tex]\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3[/tex]

[tex]3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}[/tex]

[tex]f^{-1}(x) + 3 = 3^{\frac{x-1}3}[/tex]

[tex]f^{-1}(x) = 3^{\frac{x-1}3} - 3[/tex]

Answer:

200% increase

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

ANGLE2=110° ANGLE3=70° ANGLE4=70°

Answer:

[tex]\boxed{(0, 0), (\sqrt{6}, -12-3\sqrt{6}), (-\sqrt{6}, -12+3\sqrt{6})}[/tex]

Step-by-step explanation:

Step 1: Take the derivative of the function with respect to x

[tex]\frac{d}{dx} (\frac{1}{3}x^4-4x^2-3x)\\=\frac{d}{dx} (\frac{1}{3}x^4)-\frac{d}{dx}(4x^2)-\frac{d}{dx}(3x)\\=\frac{4}{3}x^3-8x-3[/tex]

Now, you have the gradient of every point given the x value. We want the gradient to be -3, so,

Step 2: Set the derivative of the function equal to -3 and solve for x

[tex]\frac{4}{3}x^3-8x-3=-3\\\frac{4}{3}x^3-8x=0\\4x(\frac{1}{3}x^2-2)=0\\[/tex]

We can see that one solution is x=0.

The other 2 solutions are:

[tex]\frac{1}{3}x^2-2=0\\\frac{1}{3}x^2=2\\x^2=6\\x=\sqrt{6}, x=-\sqrt{6}[/tex]

Now that we found out the x value, we can plug it in back to the equation to find their respective y value:

x=0: y=0

x=sqrt(6): y=-12-3sqrt(6)

x=-sqrt(6): y=-12+3sqrt(6)

Hence we have our answer.

Answer:

12.1

Step-by-step explanation:

Answer:

12.1 Seconds

Step-by-step explanation:

96.8/8=12.1

Answer:

b. 9

Step-by-step explanation:

2+9=11

11+11=22

22+6=28

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

-3x+12

Since we are adding like terms you add everything that has an "x" after it [(3.4x) + (-5.4x) + (-x)] it all that adds up to -3x and the you add the 12 to it. It could also be written 12-3x

Answer:

Step-by-step explanation:

RSB is a right angle

12. RSB is 90 degrees

13. A right angle is 90 degrees

H is between P and S

14. PS + PH = HS

15. Deductive Reasoning

Answer: B

Step-by-step explanation:

Trust

Answer:

Step-by-step explanation:

1. Pythagorean theorem: a^2+b^2=c^2

Note that the hypotenuse is 11 (for the second right triangle).

Find the length of the dotted line by doing 7^2+b^2=11^2

49+b^2=121, b=[tex]\sqrt{72\\}[/tex].

Now you can the area of the second right triangle: ([tex]\sqrt{72\\}[/tex](7))/2=29.7.

Find the length of the first right triangle:

Note that 9 is the hypotenuse; ([tex]\sqrt{72\\}[/tex])^2+b^2=9^2

=72+b^2=81

b=3.

([tex]\sqrt{72}[/tex])(3))/2=12.7

Answer:

it depends how much the god snores within a certain time period

Answer:

74.2

Step-by-step explanation:

53 x .4 = 21.2

21.2 + 53 = 74.2

[tex]x^2 - 2xy +y^2 = (x-y)^2 = (1-2)^2 = (-1)^2 =1[/tex]

Answer:

It is 1 unit to the right of 0.

Step-by-step explanation:

Answer:

-1, 3, 7, 11

Step-by-step explanation:

First, let's find term 1. To find this term, we need to replace n with 1 - what is 4(1) - 5? Well, that's just 4 - 5, or -1. So, our first term is -1. Next, we'll find our second term. To do this, we'll replace n with 2. 4(2) = 8, and then 8 - 5 is equal to 3, so our second term is 3. Let's now find the third term by replacing n with the number 3. 4(3) - 5 is equal to 12 - 5, or 7. So, 7 is our third term. Finally, we'll find the fourth term. 4(4) is equal to 16, and 16 - 5 is equal to 11. So, the fourth and final term is equal to 11.

Hopefully that's helpful! :)

Step-by-step explanation:

Term 1: - 1

Term 2: 3

Term 3: 7

Term 4: 11

The rule is, where you see n, substitute with the position/term requested

First 4 terms are: - 1,3,7, 11

Answer:

204

Step-by-step explanation:

90-5 (9-5 (9- (14-12) 3 ) ÷5

▪︎ First we have to solve the ones in the brackets ___ ( 14-12 ) which is e equal to 2

90-5 (9-5 (9- 2×3 ) ÷5 "the 3 comes inside the bracket coz we solved the previous one"

▪︎then we have to solve ( 9-2×3 ) which is equal to 3 _____ is 3 because if we go in the BODMAS way it will be

( 2×3 =6) , then... (9-6=3)

▪︎at the same time we can subtract 9-5 because we are done with the first bracket ( 9-5=4 )

90-5 (4×3)÷5

▪︎at the same time we can subtract 90-5 as well coz we are done with the first bracket ( 90-5=85)

▪︎then we can multiply (4×3) coz it's in the brackets (4×3=12)

85×12÷5

▪︎so then we hv to multiply 85 by 12 , then the answer is 1020

1020÷5

▪︎then divide (1020÷5=204)

☆90-5 (9-5 (9- (14-12) 3 ) ÷5

=90-5(9-5(9-2×3)÷5

=90-5(4×3)÷5

=85×12÷5

=1020÷5

=204

hope this helps☆☆☆

( sorry fr the long answer )

It depends on the function. Please add a picture or type your function.

Answer:

The second option

Step-by-step explanation:

Linear means a straight line.

Choices 1, 2, and 4 are wrong because they are either a parabola or wavy, and by definition of both of these terms, they are not straight and are therefore not linear.

Answer:

2x + y = 26

Step-by-step explanation:

The standard form of a linear equation is   A x + By = C.

Simplify -2(x - 8)

Multiply -2 by -8

y - 10 = -2x + 16

2x + y - 10 = 16

Add 10 to both sides.

Add 16 and 10

Answer= 2x + y = 26

Step-by-step explanation:

the general line equation format is

y = ax + b

a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.

(i)

A (3, 5)

B (5, 9)

x changes by +2 (from 3 to 5).

y changes by +4 (from 5 to 9).

so, the slope (or gradient) is +4/+2 = 2

(ii)

the semi-finished equation is

y = 2x + b

let's use A to get b :

5 = 2×3 + b = 6 + b

b = -1

and the full equation is

y = 2x - 1

(iii)

for point (4, k) we get

k = 2×4 - 1 = 8 - 1 = 7

Answer:

i think the perimeter is 60

Step-by-step explanation:

9²+12² = x²

15 = x

perimeter = 15×4 = 60

Answer:

Molly played 4 games

Answer:

5

Step-by-step explanation:

You divide your number by the denominator and then times it by the numerator

Answer:

5%

Step-by-step explanation:

600 / 12000 = .05

Answer:

2 %

Step-by-step explanation:

Answer:

5 weeks

Step-by-step explanation:

75 w + 55 ≥ 400

75 w ≥ 345

15 w ≥ 69

w ≥ [tex]\frac{23}{5}[/tex] = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks

Answer:

70

Step-by-step explanation:

the sum of all angles is 180°

so 180-110= 70