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Helga [31]
3 years ago
11

Which graph represents the solution to the inequality 3 < 2- x/3 <7/2

Mathematics
1 answer:
Tems11 [23]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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Factor this expression
Julli [10]

Answer:

6(6x^2-4x-3)

Step-by-step explanation:

pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3

5 0
2 years ago
Read 2 more answers
I have a LCM and GCF homework can someone help i dont understand??
Sindrei [870]
Alright,

So LCM stands for "least common multiple"
While GCF is "greatest common factor"

Let's look at your number 1 (3&6)

3,6,9,12
6,12,18,24

Both times table has 6 in them making 6 the LCM

To find the GCF we need to know what can go into 3 equally. Since 3 is prime the greatest factor for 3 is....3. 6 goes into 3 two times so 3 is the GCF.

LCM:6
GCF:3

Lets do number 10 (40&4)

For LCM you see whats the smallest number that is in both times tables

4,8,12,16,20,24,28.......40
40,80, 160....

40 is the LCM because 40 is what's the smallest number between the two

GCF?

4 times 1 equals 4. Nothing bigger than 4 can make 4 (if your multiplying). That makes 4 automatically the GCF. :)
6 0
3 years ago
PLEASE HELP!!! The data set shows the ages of people riding a bus.
labwork [276]

Step-by-step explanation:

The number which is repeated more times will be mode...

So...

11 is Answer

8 0
3 years ago
A scientist enlarged a circular portion of a microscope slide to make it easier to count the number of bacteria present in the s
Tema [17]

Answer:

Option B. 212.1\ cm^{2}

Step-by-step explanation:

step 1

Find the central angle of the shaded sector

Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)

so

Let

x -----> the measure of the central angle of the shaded sector

∠x+72°=180°

∠x=180°-72°=108°

step 2

Find the area of the circle

The area of the circle is

A=\pi r^{2}

we have

r=15\ cm

assume

\pi=3.1416

substitute

A=(3.1416)(15)^{2}

A=706.86\ cm^{2}

step 3

Find the area of the shaded sector

Remember that the area of the complete circle subtends a central angle of 360 degrees

so

by proportion find the area of a sector by a central angle of 108 degrees

\frac{706.86}{360}=\frac{x}{108}\\ \\x=706.86*108/360\\ \\x=212.1\ cm^{2}

8 0
3 years ago
Raul received a score of 75 on a history test for which the class mean was 70 with a standard deviation of 7. He received a scor
JulsSmile [24]

Answer:

history test

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

He did better relative to the class in the test in which he had a higher Z score.

So:

History

Raul received a score of 75 on a history test for which the class mean was 70 with a standard deviation of 7. So we have X = 75, \mu = 70, \sigma = 7

So:

Z = \frac{X - \mu}{\sigma}

Z = \frac{75 - 70}{7}

Z = 0.71

Biology

He received a score of 73 on a biology test for which the class mean was 70 with standard deviation 7. So we have X = 73, \mu = 70, \sigma = 7

So:

Z = \frac{X - \mu}{\sigma}

Z = \frac{73 - 70}{7}

Z = 0.43

He had a higher Z score in the history test, so this is the test in which he did better relative to the rest of the class.

6 0
3 years ago
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