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3 years ago

Solve: -25 < x + 20 < 25

Mathematics

1 answer:

denis23 [38]3 years ago

8 0

Answer:

-45 < x < 5 (see graph below)

Step-by-step explanation:

to isolate x by itself, subtract 20 from all three terms of the equation:

$(-25-20)$

once you finish subtracting 20, x should be by itself, making the equation graphable:

$-45 < x < 5$

since x is not equal to -45 or 25, the graph line endings have open circles.

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In a tourist group, there are 15 Australian men, 23 Australian women, 27 British men, and 20 British women. What is the probabil

kvv77 [185]

Answer:

The probability that a selected tourist will be Australian or male is 0.76

Step-by-step explanation:

Given:

Number of Australian men = 15

Number of Australian Women = 23

Number of British men = 27

Number of British Women = 20

To Find:

The probability that a selected tourist will be Australian or male

Solution:

The probability ( Australian or male) = Probability( Australian men) +Probability( Australian Women) +Probability( British men)

The total number of people in the tourist group

=>15 + 23+27+20

=>85 people

Probability( Australian men) = $\frac{15}{85}$ ----------------(1)

Probability( Australian Women) = $\frac{23}{85}$ -----------------(2)

Probability( British men) = $\frac{27}{85}$ --------------------(3)

From(1), (2), (3)

The probability ( Australian or male) = $\frac{15}{85} + \frac{23}{85} + \frac{27}{85}$

The probability ( Australian or male) = $\frac{65}{85}$

The probability ( Australian or male) = 0.76

5 0

3 years ago

Which value for "a" completes the conditional relative frequency table by row?

irinina [24]

Answer:

a=0.1

Step-by-step explanation:

From the given frequency table, Fiction= Poetry+Prose=total

⇒0.2+0.8=1.0=total

And, Poetry+prose= total

⇒0.18+0.82=1.0= total

Thus, following the same path,we have

Non Fiction= Poetry+prose=Total

⇒a+0.9=1.0

⇒a=1.0-0.9

⇒a=0.1

Therefore, the value of a will be: 0.1

8 0

3 years ago

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a college has a total of 105 teachers 19 more female teachers than male teachers. what proportion of the teachers are female?

Kruka [31]

Answer:62

Step-by-step explanatio

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3 years ago

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Ill mark brainlist plss helpp

love history [14]

10,800 is the answer.
You would multiply 720 by 15 because the scale is 15. I hope that makes sense! Have a great day

8 0

3 years ago

Find the quotient of 68.0052 and 12. Round your answer to the nearest hundredth. 5.66 5.67 5.07 5.06!

salantis [7]

Answer:

5.67

Step-by-step explanation:

68.0052 divided by 12 = 5.6671

The hundredth place is two digits to the right of the decimal point.

To round this look at the third number to determine whether the 6 in 5.6<u>6</u>71 is rounded to 7.
The third digit to the right of the decimal is greater than 5 so the number is rounded to 5.67

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3 years ago