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ki77a [65]
3 years ago
7

What is x in this equation −4.5= −0.5(x − 7.1)

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

x=16.1

Step-by-step explanation:

-4.5= -0.5(x -7.1)

Divide both sides by -0.5

9=x-7.1

Add 7.1 to both sides

16.1=x

Hope this helps!

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The explicit formula for a sequence is<br> an=−2+3/2(n−1)<br> What is the 21st term of the sequence?
Anni [7]

Step-by-step explanation:

From the given question it appears that (n-1) is in the numerator's place, if it is so, then let us solve it.

a_n =  - 2 +  \frac{3}{2}(n - 1)   \\ \\  \therefore \: a_{21} =  - 2 +  \frac{3}{2}  (21 - 1) \\  \\   \therefore \: a_{21} =  - 2 +  \frac{3}{2 }   \times \: 20\\  \\ \therefore \: a_{21} =  - 2 + 3 \times \: 10  \\  \\ \therefore \: a_{21} =  { -2  + 30}   \\  \\ \therefore \: a_{21} =  28   \\  \\  \huge \red{ \boxed{\therefore \: a_{21} =   28}  } \\  \\

8 0
3 years ago
A student believes that less than 50% of students at his college receive financial aid. A random sample of 120 students was take
marusya05 [52]

Answer:

p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.

Step-by-step explanation:

H_{0}: less than or equal 50% of students at his college receive financial aid

H_{a}: more than 50% of students receive financial aid.

According to the nul hypothesis we assume a normal distribution with proportion 50%.

z-score of sample proportion can be calculated using the formula:

z=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X is the sample proportion (0.65)
  • M is the null hypothesis proportion (0.5)
  • s is the standard deviation of the sample (\sqrt{0.5*(1-0.5)})
  • N is the sample size (120)

then z=\frac{0.65-0.50}{\frac{\sqrt{0.25}}{\sqrt{120} } } ≈ 3,29

thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.

4 0
3 years ago
Help in this as well
Charra [1.4K]

Answer:

b 321 and 322

Step-by-step explanation:

because 321.5 is between 321 and 322

6 0
3 years ago
Fathi wants to print out a PDF document that is 48 pages long. To save paper, he decides to print on both sides of each sheet an
NISA [10]
He will need 24 sheets of paper
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3 years ago
Read 2 more answers
A triangle abc with vertices a (6,8) b(6,12) and c(10,12) is rotated 180 degrees. what are the coordinates of B
Oksi-84 [34.3K]
The rule for a rotation by <span>180
</span>(x,y)→(−x,−y)
so B<span>(6,12) will be B'(-6, -12)

answer

</span>B'(-6, -12)
4 0
3 years ago
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