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maxonik [38]
2 years ago
5

in a parking lot there are motocycles and cars. you count 98 wheels, and your friend counts 30 vehicles. how many cars are there

how many motorcycles
Mathematics
1 answer:
jarptica [38.1K]2 years ago
6 0
There are 22 card and 8 motorcycles
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Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=
DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0
3 years ago
On three examinations, you have grades of 85, 78, and 84. There is still a final examination, which counts as one grade In order
Greeley [361]

Answer:

  • It's not possible to earn an A in the course
  • I must have a 73 or MORE to earn a B in the course

Step-by-step explanation:

The average obtained at the end of the course will be:

\frac{85+78+84+x}{4} = av

Where x is the grade obtained in the final examination and av is the final average. To obtain an A, av has to be at least 90, av≥90, and to obtain an B, av has to be at least 80, av≥80

  • Is an A in the course possible?

So, if we get 100 on the final average:

x = 100,

av = (85+78+84+100)/4 = 86,75 and  86,75∠90.

<em>Answer: No, the higher grade obtained would be 86,75.</em>

  • What grade you must have in the final to earn a B in the course

To earn a B, av≥80:

av= \frac{85+78+84+x}{4 \ }\geq  80\\ \frac{247+x}{4}\geq80   \\247+x\geq 80*4\\ x\geq 320-247\\ x\geq 73

<em>Answer: I must have a 73 or MORE to earn a B in the course</em>

6 0
3 years ago
1x+11y=55 substitution
STatiana [176]

Answer:

y = -1/11 + 5

Step-by-step explanation:

1x + 11y = 55

-1x          -1x

11y = -1x + 55

/11        /11

y = -1/11 + 5

Hope this helps!

4 0
2 years ago
Jack is purchasing a stock that pays an annual dividend of $3.42 per share. If he purchases 400 shares for $53.18 per share, wha
sergij07 [2.7K]

Answer:

1368 dollars.

Step-by-step explanation:

given that Jack s purchasing a stock that pays an annual dividend of $3.42 per share

No of shares Jack purchased = 400

Price per share = 53.18$

Amount invested by Jack in shares = 400*53.18 =21272 dollars

Annual dividend = 3.42 per share

Total dividend = 400*3.42 = 1368

Annual income from dividends = 1368 $

7 0
3 years ago
Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus
aliya0001 [1]
What grade is this? I can get the answer of it but I forgot how
3 0
3 years ago
Read 2 more answers
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