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andre [41]
3 years ago
5

A. Tai, Jorge,mike Gwen

Mathematics
1 answer:
scoray [572]3 years ago
4 0
D. since 11% in decimal is 0.11 only. 1/9 in decimal is 0.111111111... 0.12 jorge and 1/8 in decimal is 0.125
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During a recent drought, a water utility in a certain town sampled 100 residential water bills and found that 80 of the residenc
Anastasy [175]

Answer: 0.893

Step-by-step explanation:

Given : Sample size of residential water bills: n=100

Number of residences had reduced their water consumption over that of the previous year = 80

Then sample proportion: \hat{p}=\dfrac{80}{100}=0.8

Critical value for 98% confidence= z_{\alpha/2}=2.326

The upper bound for confidence interval for population proportion :

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

=0.8+ (2.326)\sqrt{\dfrac{0.8(1-0.8)}{100}}\\\\=0.8+0.09304=0.89304\approx0.893

Hence, the 98% upper confidence bound for the proportion of residences that reduced their water consumption.=0.893

4 0
3 years ago
Find x on this special right triangle
tigry1 [53]

Answer:

The answer is 7

Step-by-step explanation:

We know than Tan45=1

Tanx=opp/adj

tan45=y/(7\sqrt{2})/2

Thus y=7\sqrt{2}/2

We know by pythagoras theorem that hyp^2=side^2+side^2

x^{2}=((7\sqrt{2} /2)^{2}+(7\sqrt{2}/2)^{2}

x^{2}=(49(2)/4)+(49(2)/4)

x^{2}=(49/2)+(49/2)

x^{2}=(98/2)

x^{2}=49

x=7

6 0
3 years ago
Can you help me how to solve this problem ? thank you
Art [367]
Since BCDEF is regular, we know right away that x=\dfrac{360}5=72 because the measures of all exterior angles of any regular polygon add to 360 degrees; they are all of equal measure here, so we divide 360 by 5.

For the pentagon BCIHG, the same is true, which means we have the equation

\underbrace{72}_x+\underbrace{72}_{\angle_{ext}BCD}+\underbrace{90}_{\angle_{ext}CIH}+\underbrace{(180-y)}_{\angle_{ext}IHG}+\underbrace{68}_{\angle_{ext}HGB}=360\implies y=122

So x+y=194.
8 0
4 years ago
What is the slope of the line that passes through the points (-3,1) and (7,14)​
-Dominant- [34]
The slope is 1.3. The whole equation is y=1.3x+4.9
5 0
3 years ago
At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?
telo118 [61]

Answer:

No, you didn't

Step-by-step explanation:

<u>20% of $1200 is:</u>

  • 0.2*$1200 = $240

Since you saved $200 and its less than $240 you didn't reach your goal

5 0
3 years ago
Read 2 more answers
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