Assume that y varies directly with x. If x=5 when y=-8 find x when y=16

2 answers:

8 0

Is it -10? Because -8 to 16 is multiplying by -2, so 5 x -2 = -10. I'm not sure though because I don't know exactly what 'varies directly' means.

Dovator [93]2 years ago

3 0

The answer would be ×=-10. Because 2y would be equal to 2x. 2x= (-5*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

In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.

leva [86]

Answer:
32 students

Explanation:
We are given that:
Students in the class can either speak French, German or both
15 students know French
17 students know German

Now, the maximum number in the class can be calculated by assuming that no student can speak both languages.
This means that the number of students will be the summation of those who know French only (15) and those who know German only (17)

In this case:
the maximum number of students = 15 + 17 = 32 students

Hope this helps :)

4 0

3 years ago

Julio purchased some power tools totaling $2174 using a six-month deferred payment plan with an interest rate of 28.19%. He did

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I believe you have to do a cross product formula.

2174/x = 28.19/100

8 0

3 years ago

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Karolina [17]

Answer:

319 is the term