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Alik [6]
3 years ago
7

PLEASE HELP ASAP 34 BRAINLY POINTS

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0
1. y=-x
2. y=3x+1
3. y=-6x
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A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
N76 [4]
If the series is made up of numbers in an arithmetic progression, you have

\displaystyle\sum_{n=1}^{18}a_n=\sum_{n=1}^{18}(a_1+(n-1)d)=18a_1+153d=4185

where a_1 is the first term and d is the common difference between terms.

Since the last term in the series is a_{18}=275, you have

a_{18}=a_1+(18-1)d\implies a_1+17d=275

Solve the system

\begin{cases}18a_1+153d=4185\\a_1+17d=275\end{cases}

and you'll find that the first term is a_1=190 (with d=5).
5 0
4 years ago
Which number is closest to - 102 (square root)?<br> A. -11.5<br> B. -10.0<br> C. -9.7<br> D. -11.1
andre [41]

Answer:

B. -10.0

Step-by-step explanation:

-10.0² = -100

thus= -10.0 is the closest to -102 (square root)

3 0
3 years ago
Read 2 more answers
Jack recorded a special album in honor of mothers day. his mom was so exited she purchased 48% of the copies in the store she ha
Juli2301 [7.4K]
Current # of albums ÷ % = original total number of albums

=80 ÷ 48%
=80 ÷ 0.48
=166.66

***BUT since you cannot have a partial album, you need to round up to 167.

Hope this helps! :)

3 0
4 years ago
Solve for m.<br><br> 8m − –6m + –7 = 7
Zigmanuir [339]

Answer:

m=1

Step-by-step explanation:

8m-(-6m)+(-7)=7

8m+6m-7=7

14m=14

m=1

8 0
3 years ago
Read 2 more answers
The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 7 inches and an unkno
Mice21 [21]

Answer:

The 95% confidence interval  is  17.932  <  \mu <  20  + 22.068

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  \sigma  =7 \  inches

  The sample size is  n  =  20

  The sample mean is  \= x  = 20

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>    E = 1.96 *  \frac{7 }{\sqrt{20} }

=>    E = 2.068        

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>     20  - 2.068  <  \mu <  20  + 2.068

=>     17.932  <  \mu <  20  + 22.068

3 0
3 years ago
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