All categories

3 years ago

Jamie ran 1/5 of a relay. She ran 3/4 of a mile. How long was the relay?

Mathematics

1 answer:

topjm [15]3 years ago

4 0

(1/5) times (the relay) = 3/4 mile

Multiply each side by 5
The relay = (5) x (3/4) = 15/4 = <span>3.75 miles.</span>

You might be interested in

I neeeeed heeeeeeeeeeelp

xenn [34]

The answer is C for that question

3 0

3 years ago

Read 2 more answers

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

(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

3 years ago

Mrs.Anderson bought party favors for the 24 students in her class. Each favor cost $2.27. How much did all the party favors cost

laiz [17]

$54.48 because 24 x 2.27 = 54.48

7 0

3 years ago

Find the length of the third side. If necessary, write in simplest radical form.

pychu [463]

Answer: 84 is your answer hope this helped

plz make brainly

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the area of this rectangle? A rectangle that is partitioned into two rectangles. The first rectangle has a measurement o

fiasKO [112]

Answer:

80 square meters

Step-by-step explanation:

A rectangle that is partitioned into two rectangles; rectangle A and rectangle B

Rectangle A:

Top = 5 meters

Side = 8 meters

Area of rectangle A = length × width

= 5 meters × 8 meters

= 40 meters ²

Rectangle B:

Top = 5 meters

Side = 8 meters

Area of rectangle B = length × width

= 5 meters × 8 meters

= 40 meters ²

Total area of the partitioned rectangle = area of rectangle A + area of rectangle B

= 40 meters ² + 40 meters ²

= 80 meters ²

6 0

2 years ago