All categories

3 years ago

A hiker walks at a speed of 3 2/5 kilometers per hour. How many kilometers will the hiker walk-in 3/4 hours?

Mathematics

1 answer:

kramer3 years ago

6 0

Answer: 2.55 (or 51/20) kilometers

Step-by-step explanation: 17/5 km per one hour is 51/20 (2.55) km per 3/4 hours

You might be interested in

The school is taking 80 students to the state fair for a field trip. There are students going from three different classes. Mr.

Dmitry_Shevchenko [17]

I very much believe it is C but not quite sure

6 0

3 years ago

Read 2 more answers

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

3 years ago

A diver descends from an elevation of 6ft below sea level to an elevation of 98ft below sea level in 4 equal intervals. What was

omeli [17]

98 minus 6 equals 92. 92 divided by 4 equals 23

8 0

3 years ago

1+3to the 2 power •2-5

beks73 [17]

Well first following pemdas we do 3 to the 2nd power so 3*3 = 9

then we do 9 * 2 = 18

then our problem looks like this 1 + 18 - 5

so 1 +18 = 19

then 19 - 5 = 14 so our answer is 14

5 0

3 years ago

A triangle has a base of nine meters and a hight of 8 meters, what is the area of the triangle

Stolb23 [73]

B- the area is 0.5xbasexheight

6 0

3 years ago

Read 2 more answers