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4 years ago

7! divided by (7-4)!

2 answers:

8 0

It would be 7*6*5*4*3*2*1 divided by 3*2*1. So just put that in your calculator/work it out and you'll have your answer.

lianna [129]4 years ago

7 0

First, let's write out (7-4)! Simplifying, we get (3)! = 3! = 3*2*1 = 6.
Actually, we can stop work here when we reach 3!

Then the problem consists of 7! / 3!.

7! = 7*6*5*4*3!

Dividing 7! by 3! results in 7*6*5*4 = 42*20 = 840 (answer)

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A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is th

SpyIntel [72]

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce 0.625 liters

7 0

3 years ago

The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What is

Rufina [12.5K]

Answer:

Probability that a randomly selected bill will be at least $39.10 is 0.03216.

Step-by-step explanation:

We are given that the daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6.

Let X = daily dinner bills in a local restaurant

So, X ~ N( $\mu=28,\sigma^{2} =6^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{ X -\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean amount = $28

$\sigma$ = standard deviation = $6

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that a randomly selected bill will be at least $39.10 is given by = P(X $\geq$ $39.10)

P(X $\geq$ $39.10) = P( $\frac{ X -\mu}{\sigma}$ $\geq$ $\frac{ 39.10-28}{6}$ ) = P(Z $\geq$ 1.85) = 1 - P(Z < 1.85)

= 1 - 0.96784 = 0.03216

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.85 in the z table which has an area of 0.96784.

Hence, the probability that a randomly selected bill will be at least $39.10 is 0.03216.

7 0

4 years ago

The diagonals of square LMNP intersect at K. Given that LK=3 and PN= 4.25

vitfil [10]

Answer:

Answer and steps in attachment

Step-by-step explanation:

3 0

3 years ago

Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.