Round 14,465 to the nearest ten thousands place:

Answer: a. 0.00032    B. 0.00672

Step-by-step explanation:

Given: Proportion of  island residents of a country have reduced their electricity usage (p) = 20%= 0.20

Here, residents have two choices either reduced electricity usage or not , hence it follows binomial distribution

Let X be a binomial variable that represents the number of successes .

Binomial distribution formula:

[tex]P(X)=^nC_xp^x(1-p)^{n-x}[/tex], n= sample size.

a.

[tex]P(X=5) = ^5C_5(0.20)^5(1-0.20)^{5-5}=(1)(0.20)^5(1)\\\\=0.00032[/tex]

b. [tex]P(X\geq4)=P(4)+P(5)[/tex]

[tex]^5C_4(0.20)^4(1-0.20)^{5-4}+0.00032\\\\=(5)(0.20)^4(0.80)+0.00032\\\\=0.0064+0.00032\\\\=0.00672[/tex]

Answer:

7

Step-by-step explanation:
add 7 to 3x

Then: 4x-3x=1x which gives:

1x=7

7/1=7

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

Answer:

t=-1

Step-by-step explanation:

t - 2(3 - 2t) = 2t - 9

t - 6 + 4t = 2t - 9

5t - 6 = 2t - 9

5t - 2t = -9 + 6

3t = -3

t= -1

Answer:

I'm not exactly sure, sorry.

Step-by-step explanation:

[tex]\sqrt{x} sin(4)*x[/tex]

square root of sin(4) times x

The goal of this equation is to find an x value that will make both sides equal.

I probably shouldn't answer this question since I can't really find a solution to it, but I don't really think its solvable.

Answer:

10.5[tex]\pi[/tex] Inches

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex]5.25

C=10.5[tex]\pi[/tex]

Answer:

B. y-1 = -2(x-3)

I think because the line met there

Answer:

(6, 1)

Step-by-step explanation:

x + 3y = 9

x + 4y = 10

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

-1 (x + 3y = 9)

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

-x - 3y = -9

x + 4y = 10

      1y = 1  or y =1

x + 4y = 10

x + 4(1) = 10

x + 4 = 10

   -4     -4

x = 6

I hope this helps!

Answer:

the linear function: y=-5x + 7

h(1)=2

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

There is some unnecessary information in the problem, first, it should be removed.

"The dosage of cough medicine for a child 4 to 6..."

"2 days"

Listing the age and days don't matter here, it's the rest of the problem that matters!

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

"1/2(a teaspoon) every 4 hours,"  This is one dose. Multiply 1/2 by five to see how many teaspoons are consumed.

1/2 x 5 = 2 1/2 (teaspoons)

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

Good luck! :)

~pinetree

Step-by-step explanation:

49,442-46,000=3,442

Answer: (2/5) x (3/2) x .5 = 3/10 or .3

Step-by-step explanation: Area of a triangle is (1/2)bh . You substitute your answers and simplify.

9514 1404 393

Answer:

  32

Step-by-step explanation:

Use the formula.

  [tex]a_2=a_1\times4=2\times4=8\\\\a_3=a_2\times4=8\times4\\\\\boxed{a_3=32}[/tex]

Answer:

=−129.25224x

Step-by-step explanation:

(−9.206x)(14.04)  you just simplify

Answer:

There are 2.5 grams of niacin contained in the bottle.

First you have to find how many milligrams are in the bottle.

So you multiply 125 by 20 since there are 125 tablets and 20 milligrams in each one.

125*20=2500

So there are 2500 milligrams in the bottle. Then you have to convert it into grams. To do that you divide the mass by 1000.

2500/1000=2.5

So there are 2.5 grams in the bottle.

Step-by-step explanation: hope this helps :)

Answer:

2.5

Step-by-step explanation:

125 vitamins, each vitamin has 20 milligrams. convert 20 milligrams to grams. 0.02 grams of niacin in each vitamin. 125 multiplied by 0.02 is 2.5

Answer:

x ≤ 9

Step-by-step explanation:

Step 1: Write inequality

x - 9 ≤ 2(9 - x)

Step 2: Solve for x

Here we see that any solution less than or equal to 9 would work.

Answer:

x ≤ 9

Step-by-step explanation:

x -9 ≤ 2(9 -x)    

x -9 ≤ 18 -2x

+2x         +2x

3x -9 ≤ 18

    +9    +9

3x  ≤ 27

[tex]\frac{3x}{3}[/tex] ≤ [tex]\frac{27}{3}[/tex]

x  ≤ 9

Answer:

[tex]\huge\boxed{y>4\ \vee\ y<-8}\\\boxed{y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)}[/tex]

Step-by-step explanation:

[tex]|y+2|>6\iff y+2>6\ \vee\ y+2<-6\qquad|\text{subtract 2 from both sides}\\\\y+2-2>6-2\ \vee\ y+2-2<-6-2\\\\y>4\ \vee\ y<-8\Rightarrow y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)[/tex]

Answer:

Step-by-step explanation:

I dont fully know if i am correct but i think its this:

p + r = 22

9p + 6r = 180

p = 22 - r

9(22 - r) + 6r = 180

198 - 9r + 6r = 180

-3r = -18

r = 6

p = 22 - 6

p = 16

Answer:

The biggest differentiating factor between a function and NOT a function

is that a function gives only one output for any given input. so no matter how many times you use the same value in the function, you will get the same output

A relation which is not a function will have 2 or more outputs for a single input

So if we have more than 1 similar input values in the table and given them different outputs, the relation will NOT be a function

I will take 2 similar inputs "1" and give them different outputs, the rest of the table can be randomly filled

x         y

1         4

3        7

5        9

1         2

Answer:

B.42x + 15y < 590

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

If you turn it into a rectangle, then you can see one side is 4 squares long, and the other is 5 squares long. 4 x 5= 20

Answer:

x=-2

Step-by-step explanation:

First you remove the parenthesis by distributing.

Second you collect like terms

Third move the terms to where they can be added

Fourth calculate

Fifth divide

Then boom answer (you got helped by an 8th grader)

Answer:

0.030

Step-by-step explanation:

0.030 is 3/100

what is show above is 3/10 and 0.300, 0.3, 0.30 are all equal to 3/10

Answer:

5:1

The question states that for every 5 ice cream cones a customer purchases that they will get one free ice cream cone.

Example:
This means if a customer purchased 25 ice cream cones then they would get 5 free ice cream cones.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

=> 0:2

divide the first number by the second number and multiply the result by 100 (if necessary)

> first term is 1

> second term is 2

solution :

1 ÷ 5 = 1/2 (2dp) which is =0,2

final solution:

=0:2

Answer:

3 and 4 x=25, y=29

Step-by-step explanation:

If you need a step by step explanation, I will edit this later.