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seraphim [82]
3 years ago
9

Hi, if it's possible to answer this now, Thank you so much. If you don't know the answer, that's ok :D

Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0

Answer:

It is B

Step-by-step explanation:

Since its 12 trillion miles we know that the power of 10 has to be 12. We also know to move decimals forward we need a positive power. Therefore the answer is B) 1.2 * 10^{12}

Hope it helps!!!

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Fifty percent of households say they would feel secure if they had​ $50,000 in savings. you randomly select 8 households and ask
Setler [38]

Step-by-step Answer:

"Fifty percent of households say they would feel secure if they had​ $50,000 in savings."  => population mean for satisfaction is 0.50.

N = number of household asked.

x = number of satisfied households.

Use binomial probability,

B(x,N,p) = C(N,x)*(p^x)*(1-p)^(N-x)

For 8 households and 3 questions (a), (b), and (c), we can tabulate all values of x and extract answers from there.

x   B(x,8,0.5)       cumulative probability

0  0.00390625  0.00390625

1  0.03125           0.03515625

2  0.109375        0.14453125

3  0.21875           0.36328125

4  0.2734375      0.63671875

5  0.21875           0.85546875

6  0.109375        0.96484375

7  0.03125          0.99609375

8  0.00390625  1.0

From the table, we see clearly that

(a) probability  P(x=5)=0.2188

(b) probability  P(x>5)=1-0.8555=0.1445

(c) probability  P(x<=5) = 0.8555

Note: All answers above have been rounded to the nearest 4 places of decimals.

5 0
3 years ago
Seth's family plans to drive 220 220 miles to their vacation spot. They would like to complete the drive in 4 4 hours. Find the
balu736 [363]

Answer: 55 miles per hour

Step-by-step explanation:

Here is the complete question:

Seth's family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours.

Find the average speed in miles per hour needed to make the trip in the desired.

From the question, Seth's family plans to drive 220 miles to their vacation spot and they would like to complete the drive in 4 hours.

Average speed is calculated as distance travelled divided by the time taken. This will be:

Speed = Distance/Time

Average speed = 220/4

Average speed = 55 miles per hour

4 0
3 years ago
A persons bill at a restaurant is $42.75. Estimate the amount of a 15% tip
Alina [70]

$6.41

Step-by-step explanation:

$42.75 x 15% (which is .15) = $6.41 is the tip

7 0
3 years ago
Rewrite 2/20 : 1/40 as a unit rate
Valentin [98]

Answer:

\frac{4}{1}

Step-by-step explanation:

<u>Given:</u>

2/20 : 1/40

A). First re-write the ratio as follows;

(i) Change the ratio sign to division (÷). i.e

2/20 ÷ 1/40

(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)

(2/20) × (40 / 1) = \frac{2}{20} × \frac{40}{1} = \frac{4}{1}

B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.

So to convert   \frac{4}{1}  to unit rate, we keep simplifying until the denominator becomes 1.

And since the denominator is already 1, there is no need for further simplification.

Therefore, 2/20 : 1/40 to unit rate is  \frac{4}{1}

5 0
3 years ago
Read 2 more answers
Find the solution set of the inequality<br> - 4x +35&gt; 2
enyata [817]

Answer:

There is a answer to the question

5 0
2 years ago
Read 2 more answers
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