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3 years ago

ON YOUR OWN

Mathematics

2 answers:

kondaur [170]3 years ago

8 0

Answer:

7 units

Step-by-step explanation:

The distance between the points (2,−3) and (−5,−3) is 7 units.

bulgar [2K]3 years ago

4 0

Distance between both points is 7 units

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Please HELP!!!!!!!!!

DaniilM [7]

Calculate the sum

5x - 10 + 7 = 65 - 20x + 32

Move terms

5x - 3 = 97 - 20x

Collect the like terms and calculate

5x + 20x = 97 +3

Divide both sides by 25

25x = 100

X= 4 ANSWER

I skipped some steps because it would be too long :/

Multiply parenthesis by 8

20x>8(4x - 5) -20

Calculate

20x>32x - 40 - 20

Move variable to the left

20x>32x-60

Collect like terms

20x - 32x > -60

Divide both sides by -12

-12x>-60

X<5 ANSWER

8 0

3 years ago

If a coin is tossed three times, find probability of getting

Assoli18 [71]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

‣ A coin is tossed three times.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

‣ The probability of getting,

1) Exactly 3 tails

2) At most 2 heads

3) At least 2 tails

4) Exactly 2 heads

5) Exactly 3 heads

${\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}$

$\star \: \tt P(E)= {\underline{\boxed{\sf{\red{ \dfrac{ Favourable \: outcomes }{Total \: outcomes} }}}}}$

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

★ When three coins are tossed,

then the sample space = {HHH, HHT, THH, TTH, HTH, HTT, THT, TTT}

[here H denotes head and T denotes tail]

⇒Total number of outcomes $\tt [ \: n(s) \: ]$ = 8

1) Exactly 3 tails 

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 3 \: tails)} = \red{ \dfrac{1}{8}}$

2) At most 2 heads

[It means there can be two or one or no heads]

Here

• Favourable outcomes = {HHT, THH, HTH, TTH, HTT, THT, TTT} = 7

• Total outcomes = 8

$\therefore \sf Probability_{(at \: most \: 2 \: heads)} = \green{ \dfrac{7}{8}}$

3) At least 2 tails 

[It means there can be two or more tails]

Here

• Favourable outcomes = {TTH, TTT, HTT, THT} = 4

• Total outcomes = 8

$\longrightarrow \sf Probability_{(at \: least \: 2 \: tails)} = \dfrac{4}{8}$

$\therefore \sf Probability_{(at \: least \: 2 \: tails)} = \orange{\dfrac{1}{2}}$

4) Exactly 2 heads 

Here

• Favourable outcomes = {HTH, THH, HHT } = 3

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 2 \: heads)} = \pink{ \dfrac{3}{8}}$

5) Exactly 3 heads

Here

• Favourable outcomes = {HHH} = 1

• Total outcomes = 8

$\therefore \sf Probability_{(exactly \: 3 \: heads)} = \purple{ \dfrac{1}{8}}$

$\rule{280pt}{2pt}$

8 0

2 years ago

A newspaper provided a "snapshot" illustrating poll results from 1910 professionals who interview job applicants. The illustrat

Darya [45]

Answer:

confidence level is missing

Step-by-step explanation:

1.confidence level

The results can be given only in a predetermined confidence level

2. point estimate

The illustration states the estimate 26% of the professionals who interview job applicants said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company.

3.sample size

Sample size is given as 1910 people

4.confidence interval

Confidence interval is given ±3 around the point of estimate

3 0

3 years ago

A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average spee

mina [271]

60 mph = 1 mile per minute
10:20 AM -> 1:00 PM = 2 hours and 40 minutes
2 hours 40 minutes = 160 minutes
Boston -> Stamford = 160 miles

4 0

3 years ago

What are the roots of -12x2 + 11x − 3 = 0?

boyakko [2]

This equation is not factor-able, so we can use the quadratic formula.
x=(-11+square root(11^2-4(-12*-3)))/(2*-12)
x=(-11+square root(-23))/(-24)
Since we have the square root of a negative in this equation, there are no real roots for the quadratic.

6 0

3 years ago

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