Anna saves $3 for every $10 she earns Patrick saves $5 for every $20 he earns do the two save money at the same rate

From 1,126 meters above sea level, Dedra took off in her helicopter and ascended 228 meters. What is Dedra's elevation now?

Andreas93 [3]

Answer: She is 1,354 meters above sea level.

Step-by-step explanation:

because it says she ascended, you add the total (228 meters) to her current 1,126 meters, which is a total of 1,354.

4 0

3 years ago

Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge

svet-max [94.6K]

Answer: $0.65

Explanation: First find how much Jose paid for each bag
$375 / 750
So $0.50 per bag

Now add $0.15 to that
$0.50 + $0.15

That added together is
$0.65

6 0

3 years ago

How to find the least common denominator of 3 fractions?

Lina20 [59]

Answer:

Find the LCD of the first two, then the LCD of that and the third one.

Step-by-step explanation:

You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.

Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.

___

<u>Example:</u>

1/21 + 1/35 + 1/45

The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...

(105·45)/15 = 315

__

Using factoring ...

21 = 3·7
35 = 5·7
45 = 3²·5

LCD = 3²·5·7 = 315

3 0

3 years ago

If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago

A Plane is flying at an altitude of 11,000 meters. from the pilot the angle of depression to the airport tower is 22 degrees, ho

Lisa [10]

Check the picture below.

make sure your calculator is in Degree mode.

4 0

4 years ago