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Free_Kalibri [48]
3 years ago
5

Question 6 (0.5 points)

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

(9-6)/2 = 3/2 = 1.5

(-8-3)/2 = -11/2 = -5.5

(1.5, -5,5)

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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
Darnell is trying to understand the Pythagorean Theorem by drawing a few triangles. He found that 1² + 1² = (√2)² is accurate. W
Sergeeva-Olga [200]

Answer:

D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.

Step-by-step explanation:

The Pythagorean Theorem is modeled by a² + b² = c².

c represents the hypotenuse and a and b represent the other two sides.

The Pythagorean Theorem can only be applied to right triangles.

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Answer:

6.66 yards of ribbon.

Step-by-step explanation:

If she has 10 yards of ribbon and divides it equally into three parts, those 3 parts would each be 3.33 yards long or 3 (1/3) yards long.

If she uses two of those parts on gifts, then she would use 3.33 x 2 or 6.66 yards of ribbon.

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How many times does 8 go into 153
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8 goes into 153 19 times.
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Add (2x + 2) and (4x – 7)
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The right answer is 6x + 5
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