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eimsori [14]
3 years ago
15

Solve 2 (x – 3) > -3(-3+x)

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

x>3

Step-by-step explanation:

2 ( x-3) > -3(-3+x)\\ 2x-6) > 9-3x\\5x>15\\x>3

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Write the following proportion 8 is to 64 as is to
padilas [110]
8:64 = 1:8 (divide both sides by 8)
8 0
3 years ago
Based on the information in the table what is the probability of being a girl and choosing lemonade?
tresset_1 [31]

Using it's concept, it is found that the probability of being a girl and choosing lemonade is given by:

b. 0.2.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, out of 130 people, 26 are girls who choose lemonade, hence the probability is given by:

p = 26/130 = 0.2, which means that option b is correct.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0
2 years ago
75% of the temperatures are below what value? How do you know? 75% of the temperatures are above what value? How do you know? Wh
Savatey [412]

Answer:

Complete Question:

Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.

a. Create a box-and-whisker plot for the data.

b. What is the median temperature?

c. 75%of the temperatures are below what value?How  do you know? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?

Step-by-step explanation:

TASK 3

The city picked is Baltimore, the year 2017.

The table is attached in picture #1.

a) The box-and-whisker plot is attached in picture #2.

b) The median is the central value of the distribution i.e:  

42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1,  76.5,  80.6 | 85.8, 87.8, 90.0 

where we marked with a tally the quartiles.

As we have 12 values,  the average between the two central values will be the median :

M = (66.0 + 69.1) / 2 = 67.1 °F

c) 75% of the temperatures are below 83.2 °F.

Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:

3/4 · (n + 1) = 3/4 · (12 + 1) = 3/4 · 13 = 9.75

Therefore, since we did not get in integer position, the third quartile will be the average between the numbers in position 9 and 10:

q₀.₇₅ = (80.6 + 85.8) / 2 = 83.2 °F

d) 75% of the temperatures are above 50.8 °F.

Indeed, this value represents the first quartile. Similarly to point c), the position can be found by the formula:

1/4 · (n + 1) = 1/4 · 13 = 3.25

And therefore:

q₀.₂₅ = (46.8 + 54.7) / 2 = 50.8 °F. 

e) Baltimore in 2017 had a median high temperature of 67.1 °F.

25% of the year the high temperatures were warmer than 83.2 °F, with no outlier above 90.0 °F which was the hottest temperature.

25% of the high temperatures were colder than 50.8 °F, with no outlier below 42.4 °F, which was the coldest high temperature.

6 0
3 years ago
A 6?-ft vertical post casts a 10?-in shadow at the same time a nearby cell phone tower casts a 120?-ft shadow. How tall is the c
Advocard [28]

Answer:

72?-ft

Step-by-step explanation:

The tower shadow is 12 times as long as that of the post, so the tower will be 12 times as high as the post.

... 12 × 6?-ft = 72?-ft

3 0
3 years ago
Find the volume of the sphere.
nataly862011 [7]

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

or

V= 4188.79(Nearest Hundredth).

7 0
3 years ago
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