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2 years ago

James has $32 and earns $10 per week for his allowance

Mathematics

2 answers:

Leno4ka [110]2 years ago

8 0

The initial value is how much he starts out with, and it says he has $32
So the initial value is B, $32

tester [92]2 years ago

6 0

I believe the initial value is the original/first amount he had which would be $32.

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At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

4 0

3 years ago

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Nataly [62]

Answer:

Step-by-step explanation:

Find the multiples of 9

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6,12,18,24

The first common multiple is 18

8 0

3 years ago

Read 2 more answers

what is the product of 9.8 x 10 to the power of 3 and 8.8 x 10 to the power of 6 expressed in scientific notation

sergij07 [2.7K]

Answer:

9.8*10^3

= 9,800

8.8*10^6

= 8,800,000

4 0

2 years ago

Complete the pattern 9.5 950 95,000

Sati [7]

<span>9,500,000 is the next number in the pattern. Each time you multiply the number on the left by 100 to get the number on the right.</span>

4 0

2 years ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

ziro4ka [17]

The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>

<h3>What is the probability?</h3>

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

No of failure,n = 7

No of trials,x≥6

A binomial probability is represented as;

$\rm P(x) = nC_x p^z(1-p)^{n-r}$

Substitute the given data;

$P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}$

$\rm P(x \geq 6) = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%$

Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>

To learn more about probability, refer to the link: brainly.com/question/795909.

#SPJ1

4 0

2 years ago