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a train travels 120 miles in 1 1/2 hours. At this rate how many miles will the train travel in 6 hours

Morgarella [4.7K]

Answer:

480 miles

Step-by-step explanation:

120/1.5=80

80*6=480

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B9%7D%20%29%5E%7B2%7D" id="TexFormula1" title="(\frac{4}{9} )^{2}" alt="(\f

ivanzaharov [21]

Answer:

$\frac{16}{81}$

Step-by-step explanation:

Just Square the numbers like a normal equation.

4² = 16

9² = 81

This gives us $\frac{16}{81}$

or 0.198 as a decimal (approx)

6 0

3 years ago

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Nick divides 527 baseball cards evenly into 17 stacks. How many baseball cards are in each stack?

Anton [14]

Answer:

31..?

Step-by-step explanation:

517 divided by 27 equals 31

3 0

3 years ago

Given z1 = 1+i and z2 = 2+3i.

Margaret [11]

Answer:

(a) $w=2+5i-6=-4+5i$

Multiplicative inverse of w will be $\frac{1}{-4+5i}$

(B) As w is same as the product of $z_1\ and\ z_2$

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

$z_1=1+i$ and $z_2=3+2i$

(a) First we have to find $w=z_1z_2$

So $w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2$

As we know that $i^2=-1$

So $w=2+5i-6=-4+5i$

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be $\frac{1}{-4+5i}$

Because when we multiply $-4+5i$ with $\frac{1}{-4+5i}$ it gives result as 1

(b) As w is same as the product of $z_1\ and\ z_2$

So there multiplicative inverse will also be same

4 0

3 years ago

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

5 0

3 years ago