Calculate the following limits

Which expression is equivalent to (4−3)−6?

arsen [322]

Answer:

The given expression is equal to -5

Step-by-step explanation:

Given that:

= (4−3)−6

solving bracket first as 4 -3 equals 1

= 1-6

Subtracting greater term from smaller gives the negative value

= -5

So the given expression will be equal to -5

i hope it will help you!

5 0

4 years ago

Read 2 more answers

Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 7 miles?

NikAS [45]

30 minutes / 3 miles = 10 minutes for 1 mile

7 miles * 10 minutes per mile = 70 minutes total to run 7 miles

8 0

3 years ago

A hockey goalie got shot on 18 times . She saved 10 of the shots . Which ratio represents the amount of shots that went in to th

vredina [299]

<h3>Answer is 4:5</h3>

========================================================

Explanation:

She saved 10 shots out of 18 total, so that means 18-10 = 8 shots went in.

That forms the ratio 8:10 where we list the amount of shots that went in, followed by a colon, then the amount of shots that were saved. The order is important. From here, we divide both parts of the ratio by 2. The ratio 8:10 fully reduces to 4:5

Effectively, this means that for every 4 shots that went in, there were 5 shots that were blocked.

5 0

3 years ago

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Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and

kkurt [141]

Answer: The running time should at least 119.32 seconds to be in the top 5% of runners.

Step-by-step explanation:

Let X= random variable that represents the running time of men between 18 and 30 years of age.

As per given, X is normally distrusted with mean $\mu=93\text{ seconds}$ and standard deviation $\sigma=16\text{ seconds}$ .

To find: x in top 5% i.e. we need to find x such that P(X<x)=95% or 0.95.

i.e. $P(\dfrac{X-\mu}{\sigma}$

$P(Z$

Since, z-value for 0.95 p-value ( one-tailed) =1.645

So,

Hence, the running time should at least 119.32 seconds to be in the top 5% of runners.

6 0

3 years ago

Ashely is making $500 a week at her job. She receives a 20% pay raise. A year later she takes a 5% pay cut. How much money does

zheka24 [161]

Answer:

Step-by-step explanation:

<u>Percentage Calculations </u>

One tricky fact about percentages is that they are usually performed over the last computed quantity. It makes them non-additive. For example, a raise of 10% followed by a 10% some time later, is NOT a 20% of total raise

The question states Ashely is making $500 a week at her job and that she receives a 20% pay raise. After that raise she will make

$\$500*(1+20/100)=\$500(1.2)=\$600 \text{ a week}$

A year later she takes a 5% pay cut. We must be careful to take that percentage from the last earnings. She now makes

$\$600(1-5/100)=\$600(0.95)=\$570\ a\ week$

3 0

3 years ago