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lara [203]
3 years ago
10

Aznswer answer -3p ≥ 30 solve

Mathematics
2 answers:
Leno4ka [110]3 years ago
6 0
-10 is the answer i think
Usimov [2.4K]3 years ago
6 0

-3p \geq 30\\\\\\\implies p \leq -\dfrac{30}3~~~~;[\text{Multiplying by a negative number so reverse the inequality}]\\\\\\\implies p \leq  -10 \\\\\text{Interval,} ~~ (-\infty, -10]

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The first quartile of a data set is 72, and the third quartile is 92. Which of these values in the data set is an outlier ?
konstantin123 [22]

Answer: Option D

D. 41​

Step-by-step explanation:

A value x_i is considered an outlier if

x_i> Q_3 + 1.5IQR

or

x_i

Where

Q_3 is the third quartile

Q_1 is the first quartile

IQR is the interquartile range.

IQR = Q_3-Q_1

In this case:

Q_3=92\\Q_1=72

So

IQR = 92-72 =20

Q_3 + 1.5IQR = 92 + 1.5*20 = 122

Q_1 - 1.5IQR=72-1.5*20=42

Then the outlier values will be all those greater than 122 or less than 42

Therefore the answer is the option D.

8 0
3 years ago
Name the angle in 2 different ways and name the 2 rays from the diagram below please show work
timama [110]

Answer:

3) TB and NT

4) ∠KLM and ∠MLK

Step-by-step explanation:

3) those two rays intersect to form the angle shown in the diagram

4) an angle can always be named from left to right or right to left as long as the middle letter is always the vertex of the angle

3 0
3 years ago
Read 2 more answers
An elementary school is in a growing suburb. The school’s principal estimates that the current enrollment of 750 students will i
HACTEHA [7]

Answer:

62.9% in ten years

Step-by-step explanation:

This type of growth corresponds to what is called an exponential growth, since in the expression for the number of students keep including the multiplication of the same factor as the years go by, Let's start by analyzing what happens the first year:

The initial enrollment of 750 is expected to grow by 5%, therefore after one year the enrollment should be:

After one year = Year_1 = 750 + 5% increase = 750+750*0.05=750(1+0.05)

where we have used the decimal form of 5% as he factor 0.05 multiplying 750 (the initial enrollment) to give the increase.

After the second year, we consider a starting value of Year_1 enrollments that will increase another 5%, which gives: Year_2 = Year_1 + Year_1 * 0.05= Year_1 (1 + 0.05).

So replacing Year_1 by its original expression (750(1+0.05)) we notice that Year_2 = 750 * (1+0.05) * (1+0.05) = 750 * (1+0.05)^2

We can go on with this same reasoning and find that each year includes a new factor (1+0.05) to the new increasing enrollment.

At the end of 10 years, the number of enrollment will be:

750*(1+0.05)^10=1221.67

which we can round to 1222 students enrolled

This means and increase of: \frac{1222-750}{750} =0.62933

That is approximately 62.9%

6 0
3 years ago
If a 12 ounce can of peas costs $1.02, what is the unit rate in<br>ounces?​
Sladkaya [172]
1ounce = $1.02/12
1ounce = $0.085

7 0
3 years ago
I REALLY NEED HELP! PLEASE help me...
Scilla [17]

Answer:

A. The domain is (1,∞), and the range is (-7,∞)

Step-by-step explanation:

Well lets graph it first,

Look at the image below ↓

By looking at the image we move it 3 units right and 3 units down.

Then it will be located at the point (1,-7).

Meaning for the domain it starts at 1 and goes on for infinity.

And For the range it starts down at -7 and goes down for infinity.

<em>Thus,</em>

<em>the correct answer is choice A.</em>

<em />

<em>Hope this helps :)</em>

6 0
3 years ago
Read 2 more answers
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