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Salsk061 [2.6K]
2 years ago
7

Here are six number cards -4,-2,-1,5,6,8 arrange the cards into three pairs with the same total

Mathematics
2 answers:
mariarad [96]2 years ago
5 0

Answer:

-4 and 8. -2 and 6. -1 and 5. all equals 4

Step-by-step explanation:

Your profile pic is hot.

suter [353]2 years ago
5 0

Answer:

5 and 6 and -1

6 and 8 and -4

5 and 8 and -2 and -1

Step-by-step explanation:

They all add up to 10.

The trick is to first figure out if you can combine 5 6 or 8 together, then use the negative numbers to subtract as needed to reach you number. If you add 5 and 6, that is 11, but -1 can make 10. When you add 8 and 6, that is 14. But good thing you have the -4 to make 10. You start with the smallest number found from adding together two numbers from the positive pile like 5 and 6.

You can make other combinations as well. 11 could work too.

please click heart to give thanks :) c

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The sequence of transformations R0,90 r x-axis is applied to XYZ to produce X’’ Y’’ Z’’. If the coordinates of Y’’ are (3,0),wha
Fofino [41]

Answer:

Y = (0, 3)

Step-by-step explanation:

Notice that the first the transformation is a rotation of 90 degrees around the origin, and then a reflection around the x axis.

If a reflection around the x axis resulted in (3, 0)  that means the point was already on the x axis.

Then in order for a rotation in 90 degrees to take the point Y to (3, 0), Y must have been on the y-axis as (0, 3)

4 0
3 years ago
a) A large hotel in Miami has 900 rooms (all rooms are equivalent). During Christmas, the hotel is usually fully booked. However
Olegator [25]

Answer:

14.69% probability that this happens

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

1000 people were given assurance of a room.

This means that n = 1000

Let us assume that each customer cancels their reservation with a probability of 0.1.

So 0.9 probability that they still keep their booking, which means that p = 0.9

Probability more than 900 still keeps their booking:

n = 1000, p = 0.9

So

\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{1000}} = 0.0095

901/1000 = 0.91

So this is 1 subtracted by the pvalue of Z when X = 0.91.

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

By the Central Limit Theorem

Z = \frac{0.91 - 0.9}{0.0095}

Z = 1.05

Z = 1.05 has a pvalue of 0.8531

1 - 0.8531 = 0.1469

14.69% probability that this happens

3 0
3 years ago
The ratio to cranberry juice and mango juice is 3:2 they used 4 quarts of cranberry juice last week. This week mindy and her fri
IrinaVladis [17]

Answer:

The amount of mango juice needed is 8 quarts

Step-by-step explanation:

To calculate the amount of mango juice needed, we will need to know the amount used the previous week.

Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x

This means;

3/2 = 4/x

1.5 = 4/x

1.5x = 4

x = 4/1.5 quarts

Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts

8 0
3 years ago
What is the area of each semicircle of the following composite figure?
Alina [70]
It will equal 22.5 since you need to multiple
3 0
2 years ago
Based on a​ poll, among adults who regret getting​ tattoos, 1212​% say that they were too young when they got their tattoos. Ass
photoshop1234 [79]

Answer:

0.3165

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adults sampled = 9

x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0

p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12

q = probability of failure = 1 - p = 1 - 0.12 = 0.88

P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰

P(X=0) = 0.31647838183 = 0.3165

Hope this Helps!!!

7 0
3 years ago
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