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a_sh-v [17]
3 years ago
6

The sum of two numbers is 60. one number is 4 times as large as the other. what are the numbers?​

Mathematics
1 answer:
Tom [10]3 years ago
5 0

Answer:

x+4x = 60

Step-by-step explanation:

5x=60

x=12

4x=48

answers are 12 and 48

You might be interested in
How many fewer minutes does it take to drive 35 miles at 30 MPH than to drive the same distance at 25 mph
Anuta_ua [19.1K]
To drive 35 miles at 30 mph takes (35/30) hour.
To drive 35 miles at 25 mph takes (35/25) hour.

The difference is  (35/25) minus (35/30).

In order to add or subtract fractions, they need a common denominator.
The smallest one available for this situation is 150 .

(35/25) = 210/150
(35/30) = 175/150

Now we can subtract:    (210/150) - (175/150) = 35/150 of an hour.
(35/150  hour) x (60 min/hr) = (35 x 60) / (150) min = 14 minutes.

==>  It's beginning to look like the answer is NOT 40minutes.
Let's do it again, with a less-elegant but more-intuitive approach:

Time to drive 35 miles at 30 mph = 35/30 = 1-1/6 hours = 70 minutes.
Time to drive 35 miles at 25 mph = 35/25 = 1.4 hours = 84 minutes.

<span>Time saved by driving at 30 mph instead of 25 mph = (84 - 70) = 14 minutes. </span>
3 0
3 years ago
Suppose that 20% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable com
riadik2000 [5.3K]

Answer:

4.01% probability that the cable company will keep the shopping channel.

Step-by-step explanation:

For each subscriber, there are only two possible outcomes. Either they watch the shopping channel at least once a week, or they do not. This means that we can solve this problem using the binomial probability distribution.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 100, p = 0.20

So

E(X) = 100*0.20 = 20

\sqrt{V(X)} = \sqrt{100*0.20*0.80} = 4

The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.27. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20?

This probability is 1 subtracted by the pvalue of Z when X = 0.27*100 = 27. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27 - 20}{4}

Z = 1.75

Z = 1.75 has a pvalue of 0.9599.

So there is a 1-0.9599 = 0.0401 = 4.01% probability that the cable company will keep the shopping channel.

5 0
3 years ago
A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact pro
vivado [14]

Answer:

0.25 or 25%.

Step-by-step explanation:

2 Red + 3 Blue + 7 Green = 12 Total Marbles.

You have 3 blue marbles out of the total marbles, so 3/12, then simplify it. 3/12 = 1/4. This gives you 0.25, or 25%.  

The probability of drawing a blue marble is 0.25 or 25%

4 0
3 years ago
Can somebody help me please with both of these questions??
klio [65]

Answer:

The slope is -2

Step-by-step explanation:

m =  

y2 - y1

x2 - x1

that's the formula

4 0
3 years ago
In the formula C = 2 r, C stands for
saveliy_v [14]

Answer:

Circumference

Step-by-step explanation:

4 0
3 years ago
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