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3 years ago

Which inequality represents this sentence?

2 answers:

6 0

Yes it is correct because c and d are wrong, so if you look at a it is greater than the other problem which is wrong so the answer is b. 6+2<9+3 hope this helped.

olga_2 [115]3 years ago

5 0

6 + 2 < 9 + 3...u r correct

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Negative two point five times twenty

love history [14]

Hello the answer is -50

8 0

3 years ago

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A student solves a problem correctly 40 times out of 72 tries. Based on this data, what is the probability that the student inco

suter [353]

Answer:

The probability of the student incorrectly solves the next problem is 44%.

Step-by-step explanation:

Let E be the event of solving a problem correctly.

Then E' is the event that the problem is solved incorrectly.

Now, recall the definition of probability.

probability of an event = $\frac{number of favorable events}{total number of events}$

So,

p(E) = $\frac{40}{72}$

Also,

p(E) + p(E') = 1 and

p(E') = 1 - p(E)

= 1 - $\frac{40}{72}$

= $\frac{72-40}{72}$

= $\frac{32}{72}$

= $\frac{4}{9}$

= $\frac{4}{9} (100)$

= 44% rounded.

Hence, the probability of the student incorrectly solves the next problem is 44%.

4 0

4 years ago

Write the equation of a line of a line passing through the points (3,1) and (6,3).

maxonik [38]

Answer:

i think its 2 1

Step-by-step explanation:

5 0

3 years ago

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Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )

Zina [86]

Answer:

$\purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

8 0

3 years ago

In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10. What is the value of x?

Stels [109]

Answer: The value of x= 18

Step-by-step explanation:

Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.

The sum of all angles of a triangle is 180°.

Therefore, in triangle EFG

∠E + ∠F +∠G= 180°

⇒ 8x-16 +x+8+ 2x-10 = 180

⇒ 11x-18= 180

⇒ 11x = 180+18

⇒11x=198

⇒ x= 18 [Divide both sides by 11]

Hence, the value of x= 18

6 0

3 years ago