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3 years ago

Roberto has run the first 18 miles of a race, which means he is 72% finished. How long is the race

Mathematics

1 answer:

Mamont248 [21]3 years ago

6 0

Answer:

25 miles

Step-by-step explanation:

18 ÷ 72% =

18 ÷ (72 ÷ 100) =

(100 × 18) ÷ 72 =

1,800 ÷ 72 =

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The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

blondinia [14]

Answer:

Step-by-step explanation:

x/2 = 2x-3

x = 4x-6

3x = 6

x = 2

7 0

2 years ago

) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase

xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

$P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}$

$P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]$

$P(x=3)=(4)(0.008)(0.80)=0.0256$

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

$P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}$

$P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]$

$P(x=0)=0.4096$

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0

3 years ago

I NEED HELP FAST what is y+1=5/6(x-2) in standard form?

Irina18 [472]

Answer:

$\large\boxed{5x-6y=16}$

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have the equation in the point-slope form. Convert:

$y+1=\dfrac{5}{6}(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot\dfrac{5}{6\!\!\!\!\diagup_1}(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}$

6 0

2 years ago

Which equation is represented by the table?

lys-0071 [83]

What table? i think you need to upload a picture of it or something

8 0

3 years ago

A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?

Stells [14]

Answer:

11 inches

Step-by-step explanation:

A rectangle's perimeter can be found using:

p=2l+2w

We know that the perimeter, p, is 58, and the length/height is 18. Therefore, we can substitute those values in

58=2(18)+2w

Multiply 2 and 18

58=36+2w

Since we want to find the width, we need to get w by itself. First, subtract 26 from both sides

58-36=36-36+2w

22=2w

Since w is being multiplied by 2, divide both sides by 2. This will cancel out the 2, and leave w by itself.

22/2=2w/2

11=w

So, the width is 11 inches

8 0

2 years ago