PLEASE HELP THIS IS URGENT!

the distance from a driveway to the closest house is 12,672 feet. How far is that in miles. (1 mile=5280 feet)

Effectus [21]

Answer:

2.4

Step-by-step explanation:

12672/5280

8 0

2 years ago

Read 2 more answers

Yannick bought a bicycle. He paid $194.25, including tax. If the sales tax rate is 5%, how much did Yannick pay for tax?

olya-2409 [2.1K]

Answer:

$9.71 or $203.96

Step-by-step explanation:

5% of $194.25 is $9.71

if you wanted the overall cost that would be $203.96.

7 0

2 years ago

Read 2 more answers

What is the expression in factored form?<br><br> -20x^2 - 12x

artcher [175]

Answer:

-4x(5x-3)

Step-by-step explanation:

-20x^2 - 12x

-20x^2 = -4*5*x*x = -2*2*5*x*x

-12x = -4*3*x = -2*2*3*x

The common terms are -2*2*x = -4x. Whats left goes inside the parentheses

-4x(5x-3)

4 0

3 years ago

Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1

Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

$P(x=r)=^nC_rp^rq^{n-r}$

(a) Exactly two will be drunken drivers.

$P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}$

$P(x=2)=66(0.2)^{2}(0.8)^{10}$

$P(x=2)=\approx 0.28347$

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

$P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)$

$P(x=3\text{ or }x=4)=P(x=3)+P(x=4)$

Using binomial we get

$P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}$

$P(x=3\text{ or }x=4)=0.236223+0.132876$

$P(x=3\text{ or }x=4)\approx 0.369099$

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

$P(x\geq 7)=1-P(x$

$P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]$

$P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]$

$P(x\leq 7)=1-[0.9961]$

$P(x\leq 7)=0.0039$

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

$P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)$

$P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315$

$P(x\leq 5)=0.9806$

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0

2 years ago

GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap

rewona [7]

Answer:

Alternate Interior angles

Explanation: Usually an angle of elevation is less than or equal to 90°. ... As a result the angles of elevation and depression are alternate (interior) angles. Since the transversal intersects two parallel lines, and alternate interior angles are congruent, the angle of elevation and angle of depression must also be congruent.

3 0

2 years ago