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Pavlova-9 [17]
3 years ago
9

Find the missing side. Round to the nearest tenth when necessary.

Mathematics
2 answers:
777dan777 [17]3 years ago
6 0
Use Pythagorean theorem
a^2 + b^2 = c^2
a = 9, b = x, c = 18
9^2 + x^2 = 18^2
81 + x^2 = 324
x^2 = 243
x = 15.58846
Round to nearest tenth
Solution: x = 15.6
SashulF [63]3 years ago
3 0
Please let me know if I’m incorrect 15.6
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valentinak56 [21]

Answer:

Penelope can read 6 pages in 5 minutes.

Step-by-step explanation:

You would use the equation 1.2x = P

P=how many pages    x=how many minutes

1.2(5) = 6

She can read 6 pages in 5 minutes

8 0
3 years ago
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
Is -9, -4, 1 and 6 arithmetic
ra1l [238]

Answer:

Yes. It is an arithmetic sequence.

Step-by-step explanation:

The sequence would be add 5 every time.

-9 + 5 = -4

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1 + 5 = 6

8 0
3 years ago
(6x3)2 = 62(x3)2 = 36x6<br> True or false
Xelga [282]

Answer:

false

Step-by-step explanation:

5 0
3 years ago
An angle measures 54° less than the measure of a supplementary angle. What is the measure of each angle?
Katen [24]
X+x+54=180
2x+54=180
2x=126
x=63
63+54=117
one angle is 63, the other is 117
8 0
3 years ago
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