a)
Start at -3 and add 10

Answer:

4

Step-by-step explanation:

because 1 m= 100 cm, the race is then 3m = 300 cm

160 first leap

          half as far as previous is:

160/2= 80  second leap

80/2 = 40 third leap

40/2 = 20 fourth leap

          to complete the 300m race :

300 - 160- 80 -40 -20 = 0 m left

There were 4 leaps until the end of the race.

Answer:

D. 0.200, 0.026

Step-by-step explanation:

For each teen, there are only two possible outcomes. Either they have a fax machine, or they do not. The probability of a teen having a fax machine is independent of other teens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Forty-three percent of US teens have heard of a fax machine.

This means that [tex]p = 0.43[/tex]

You randomly select 12 US teens.

This means that [tex]n = 12[/tex]

Find the probability that the number of these selected teens that have heard of a fax machine is exactly six (first answer listed below).

This is [tex]P(X = 6)[/tex]. So

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

[tex]P(X = 6) = C_{12,6}.(0.43)^{6}.(0.57)^{6} = 0.200[/tex]

So the answer is either option B or D.

Find the probability that the number is more than 8

[tex]P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)[/tex]

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

[tex]P(X = 9) = C_{12,9}.(0.43)^{9}.(0.57)^{3} = 0.021[/tex]

[tex]P(X = 10) = C_{12,10}.(0.43)^{10}.(0.57)^{2} = 0.005[/tex]

[tex]P(X = 11) = C_{12,11}.(0.43)^{11}.(0.57)^{1} = 0[/tex]

[tex]P(X = 12) = C_{12,12}.(0.43)^{12}.(0.57)^{0} = 0[/tex]

[tex]P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.021 + 0.005 = 0.026[/tex]

So the correct answer is given by option D.

Answer:

-5

Step-by-step explanation:

All of the numbers to the left of the origin on the x-axis are negative.

Hope this helps!

Answer:

Step-by-step explanation:

The volume is (9/5)(2/3) units^3, or 6/5 units^3

Answer:

Rick Arico invested $4100 at a yearly rate of 7% and $900 at a yearly rate of 9%.

Step-by-step explanation:

Let x represent the amount invested at 7% yearly rate and let y represent the amount invested at 9%.

$5000 was split and invested at 7% yearly rate and 9% yeatly rate. Therefore:

x + y = 5000         (1)

For the 7% yearly rate:

Interest = (x * 7%) = 0.07x

For the 9% yearly rate:

Interest = (y * 9%)  = 0.09y

The total interest = interest for the 7% yearly rate + Interest for the 7% yearly rate = 0.07x + 0.09y

Given that the total interest earned in the year was $368, hence:

0.07x + 0.09y = 368      (2)

To find x and y, we have to solve equation 1 and equation 2 simultaneously. multiply equation 1 by 0.07 and subtract the result from equation 2 to get:

0.02y = 18

y = 18 / 0.02

y = $900

Substitute y = $900 in equation 2:

0.07x + 0.09(900) = 368

0.07x + 81 = 368

0.07x = 287

x = $4100

Therefore Rick Arico invested $4100 at a yearly rate of 7% and $900 at a yearly rate of 9%.

Answer:

Point E

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

move the constant to the right

calculated it

divide both sides then you get the answer

[tex]x \cdot \dfrac{8}{10 } = 15 \\~\\~\\x = \dfrac{5\cdot15}{4} \\~\\~\\ x= 18.75[/tex]

Answer:

18.75

Step-by-step explanation:

15/.8 ro80%= 18.75

Answer:

12:15

Step-by-step explanation:

You multiply each side the same to make it equivalent.  4*3=12 5*3=15

Answer:

15 is the main answer, and 12 isthe second answer.

Step-by-step explanation:

Brainliest?

Answer:

I dont know either

Step-by-step explanation: HELP ME LEARNZ IT

Answer:

NP is the shortest

MN is the medium sized line

MP is the longest line

Step-by-step explanation: :\

Hope it helps ig

(u better thank my a**)

Answer:

in my knowledge

Option A..

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. ... This is the formula of an arithmetic sequence.

Answer:

Step-by-step explanation:

"length is 4 meters less than 2 times the width"

L = 2W+4

"perimeter is 40 meters"

2L+2W = 40

L+W = 20

(2W+4) + W = 20

3W + 4 = 20

W = 16/3 meters

Answer:

D. 13 1/2

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

We see that there is already a common variable that can be canceled out -- y. y+(-y)=0! (Alternatively you may also multiply an equation by negative 1 and do subtraction, but in this case it's already done for you)

So now we just do some addition.

2x+6x=8x

y+(-y)=0

7+9=16

This means that 8x=16. Now we solve!

(Divide both sides by 8)

We're left with x=2 :)

Answer:

Step-by-step explanation:

Given the following angles

Interior angles are 110° and x°

Exterior angle = (4x+7)°

Using the triangular property which says that the sum of interior angle of a triangle is equal to its exterior angle, we have:

110 + x = 4x + 7

110 - 7 = 4x-x

103 = 3x

x = 103/3

x= 34.3°

Get the exterior angle

Exterior angle = 4x+7

Exterior angle = 4(34.3)+7

Exterior angle = 137.3+7

Exterior angle = 140.3°

Hence the measure of the exterior angle shown is 140.3°

Answer:

Ordered pair, (1, 5/2) does not satisfy the given equation  3x-3y=-3

Step-by-step explanation:

[tex]3x-3y=-3[/tex]

Here [tex](x, y) = (1, \frac{5}{2} )[/tex]

[tex]3(1)-3(\frac{5}{2} )=-3[/tex]

[tex]3- (\frac{15}{2} )=-3\\6-15=-6\\-9\neq -6[/tex]

Answer:

a= -1

b=-9

c=9

d=3

e=3

f=2

g=1.5

Step-by-step explanation:

The values of variables in the equation are a= -1, b=-9, c=9, d=3, e=3, f=2, g=1.5

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3x/2x-6 + 9/6-2x = 3x/2x-6 + 9/-1(2x-6)

We have to find the values of variables

3x/2x-6 + 9/6-2x = 3x/2x-6 + 9/-1(2x-6)

so a=-1

= 3x/2x-6 - 9/(2x-6)

b=-9

=3x-9/2x-6

c=9

=3(x-3)/2(x-3)

d=3, e=3 and f=2

=3/2

g=1.5

Hence, the values of variables in the equation are a= -1, b=-9, c=9, d=3, e=3, f=2, g=1.5

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

its B

Step-by-step explanation: trust me but also you can graph it and it will show the points

Answer:

Inequality form: x > -5

Step-by-step explanation:

Simplify: 3x + 24 > 9

Divide: x + 8 / 2 > 3 / 2

Multiply: x + 8 > 3 / 2 * (2)

Cancel: x + 8 > 3

Answer: x > -5

Hope this helps! :)

Answer:

[tex] x = 14 [/tex]

Step-by-step explanation:

To find x, the following equation is generated given the available information:

[tex] \frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12} [/tex]

[tex] \frac{2x + 7}{x + 7} = \frac{20}{12} [/tex]

[tex] \frac{2x + 7}{x + 7} = \frac{5}{3} [/tex]

Cross multiply

[tex] 3(2x + 7) = 5(x + 7) [/tex]

[tex] 6x + 21 = 5x + 35 [/tex]

Collect like terms

[tex] 6x - 5x = - 21 + 35 [/tex]

[tex] x = - 21 + 35 [/tex]

[tex] x = 14 [/tex]

Answer:

f/21=24

f= 24*21

f= 504

Step-by-step explanation:

hope my answer is helpful to

plz mark me as brainlist and also follow me

Answer:

x = 6

y = 2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

NO TE ENTIENDO TRADUCELO AL ESPAÑOL