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algol13
2 years ago
13

I need help with my math homework 2/3x+17≥29

Mathematics
1 answer:
icang [17]2 years ago
6 0

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

(\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})

x ≥ 18

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3 0
3 years ago
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
Sdadasdasdasssssssssssssssssssssssssssssssssssssssssssssssssssssss
ioda

Answer:

you shouldnt put u questions like this or youll get banned trust me i have been

Step-by-step explanation:

7 0
3 years ago
In the function f(x) = 225 - 31.4558 In, x represents the
KengaRu [80]

Answer:

Step-by-step explanation:

8 0
3 years ago
A baseball team played 25 games and won 10 of them what percent of the game did they win
navik [9.2K]

Answer: 40%

Step-by-step explanation:

They won 10 out of 25, so we can write it as a fraction:

10/25

Divide

10/25=0.4

0.4*100=40%

They won 40% of their games

Hope this helped! :)

7 0
3 years ago
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