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Marta_Voda [28]
3 years ago
15

Translate the sentence into an inequality.

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0

Answer:

9(n + 22) ≤ -15

Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

Times = multiplication

Sum = Addition

9 * n + 22

We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

We would have 9(n + 22)

9(n + 22) is at most -15

At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

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Which of the following is not a true statement about pi?
FinnZ [79.3K]

Answer:

Option D.The ratio of the radius of a circle to its circumference

Step-by-step explanation:

<em>Verify each statement</em>

A) The ratio of the circumference of a circle to its diameter

The statement is True

Because

C=\pi D

so

\pi=C/D

B) Approximated to be 3.14

The statement is True

Because \pi=3.14159265...

C) Approximated to be 22/7

The statement is True

Because

\frac{22}{7}=3.1423

D) The ratio of the radius of a circle to its circumference

The statement is not True

Because

\frac{r}{2\pi r}=\frac{1}{2\pi}

4 0
3 years ago
Please help !!!
Dominik [7]

Answer:

150m^2

Step-by-step explanation:

Each square on a cube is 5 by 5 meters long.

The area of each square is 5 * 5, which is 25 square meters.

There are 6 sides on a square, so multiply 25 by 6, and you will get 150.

Please mark as Brainliest! :)

6 0
3 years ago
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PLS HELP ME SOLVE THE PROBLEM PLS!
lilavasa [31]

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Step-by-step explanation:

8 0
3 years ago
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 75.6 Mbp
olga55 [171]

Answer:

a) 59.98

b) 2.99

c) 2.99

d) Significantly High

Step-by-step explanation:

Part a)

Highest speed measured = x = 75.6 Mbps

Average/Mean speed = \overline{x} = 15.62 Mbps

Standard Deviation = s = 20.03 Mbps

We need to find the difference between carrier's highest data speed and the mean of all 50 data​ speeds i.e. x - \overline{x}

x - \overline{x} = 75.6 - 15.62 = 59.98 Mbps

Thus, the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds is 59.98 Mbps

Part b)

In order to find how many standard deviations away is the difference found in previous part, we divide the difference by the value of standard deviation i.e.

\frac{59.98}{20.03}=2.99

This means, the difference is 2.99 standard deviations or in other words we can say, the Carrier's highest data speed is 2.99 standard deviations above the mean data speed.

Part c)

A z score tells us that how many standard deviations away is a value from the mean. We calculated the same in the previous part. Performing the same calculation in one step:

The formula for the z score is:

z=\frac{x-\overline{x}}{s}

Using the given values, we get:

z=\frac{75.6-15.62}{20.03}=2.99

Thus, the Carriers highest data is equivalent to a z score of 2.99

Part d)

The range of z scores which are neither significantly low nor significantly​ high is -2 to + 2. The z scores outside this range will be significant.

Since, the z score for carrier's highest data speed is 2.99 which is well outside the given range, i.e. greater than 2, we can conclude that the  carrier's highest data speed​ is significantly higher.

3 0
3 years ago
Kaya had a string 6 1/8 inches long. She cut off a piece 2 3/4 inches long. How long is the remaining piece of string? Show your
Katen [24]

Answer: 3 3/8

Step-by-step explanation:

We know that for example 2/4=4/8 so it is multiplied by 2. In this problem the fractions are 2 2/4 and 6 1/8. We are subtracting so you would first multiply the fraction that’s going to subtracted from the other fraction 2 3/4= 2 6/8. Now that we have our fractions we can subtract 6 1/8-2 6/8 this would leave us with 3.375 which is equal to 3 3/8.

4 0
3 years ago
Read 2 more answers
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