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boyakko [2]
3 years ago
9

Find the value of x. (x + 30)

Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer:

x=55

Step-by-step explanation:

The exterior angles of a polygon add to 360.

x+x+x+x+x+x+30 = 360

Combine like terms

6x+30 = 360

Subtract 30 from each side

6x+30-30 = 360-30

6x = 330

Divide by 6

6x/6 =330/6

x =55

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Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i
OLEGan [10]
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

The p-value= 2P(z>2.02)=0.0433834

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

6 0
3 years ago
A recent survey showed that 23.3 million adults have cut the cord on cable TV services, a 30% increase fron the previous year. I
sesenic [268]

Answer:

30,290,000 people

Step-by-step explanation:

The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000

23,300,000/100 = 233,000 = 1%

233,000 x 30 = 6,990,000

23,300,000 = 6,990,000 = 30,290,000

4 0
3 years ago
Answer the 3 questions above (in the picture) please!!!
Karo-lina-s [1.5K]

Answer:

1. X = 17/A  --- answer is (A)

2.  (6, 0.7) (10, 1.9)

3. $10.99D + $9.99  ≤ $100

Step-by-step explanation:

1. AX + 4AX = 51 + 2AX

 5AX = 51 + 2AX .... -2AX both side

3AX = 51   .. divide 3A

X = 17/A  --- answer is (A)

2. 10y = 3x -11

   (2, 0.5):       3*2 -11 = - 5     10y = 10*0.5 = 5    ..... not correct

    (4, 1)            3*4 - 11 = 1       10y = 10*1 = 10 ....... not correct

   (6, 0.7)        3*6 - 11 = 7       10y = 10*0.7 = 7  .....Correct

   (8,2.3)          3*8 -11 = 13       10y = 10*2.3 =23   ..... not correct

   (10, 1.9)        3*10 -11 = 19       10y = 10*1.9 = 19   .... correct

3.  1D cost $10.99

    D piece cost: $10.99D

     Shipping: $9.99

    No more than $100: ≤ 100

D piece DVD + Shipping withtotal no more than $100:

$10.99D + $9.99  ≤ $100

 

5 0
3 years ago
-7 + 11p = 3p - 47<br> Please help me figure out how to work it out
Dennis_Churaev [7]

Answer:

p = -5

Step-by-step explanation:

11p-3p = 8p

-47+ 7 = -40

8p = -40

-40/8 = -5

3 0
3 years ago
Read 2 more answers
fungsi permintaan P=25-Q dan penawaran P=2Q+1. Hitung surplus konsumen dan surplus produsen saat terjadi market equilibrium!​
LuckyWell [14K]

Answer:

25-1=24

2*24=48

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4 0
3 years ago
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