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melomori [17]
3 years ago
13

Solve the following inequality: –1 6(–1 – 3x) > –39 – 2x

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0
If you would like to solve the inequality <span>–1 + 6 * (–1 – 3x) > –39 – 2x, you can do this using the following steps:

</span>–1 + 6 * (–1 – 3x) > –39 – 2x
-1 - 6 - 18x > -39 - 2x
-7 + 39 > -2x + 18x
32 > 16x
32/16 > x
x < 2

The correct result would be x < 2.
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The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = sample proportion.

n= sample size.

\alpha = significance level .

z_{\alpha/2} = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.:  x= 54

Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0
3 years ago
Find the total surface area of the figure.
Ratling [72]

Answer:

8x6x4=192. So, the answer is 192.

7 0
2 years ago
2b-5/b-2 = 3/b+2<br><br><br><br> SOLVE
Deffense [45]
Cross multiply:-

3(b - 2) = (2b - 5)(b + 2)

3b - 6 = 2b^2 + 4b - 5b - 10

2b^2 - 4b - 4 = 0

b^2 - 2b - 2 = 0

b = 2.73, -0.73  Answer
7 0
3 years ago
DA−2qA=B^3<br> Solve for A
a_sh-v [17]

Answer:

a=\frac{b^{3} }{d-2q}

Step-by-step explanation:

i think

8 0
3 years ago
Picture attached!! help!
o-na [289]
C your welcome tell me if u need more help


3 0
3 years ago
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