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ratelena [41]
3 years ago
6

X - y = 2 and x + y = -6 find intersecting point and graph

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0
Intersecting point 4,2 with slope of 1/2
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Answer:

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Now you know you read half a page in a minute

5 pages in 10 minutes because:

10 × 0.5 = 5

8.5 pages in 17 minutes because:

17 × 0.5 = 8.5

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2 years ago
- 2(w+6) +9&lt; - 15<br><br>I'm make you brainliest​
navik [9.2K]
It is 9lt-2w-27! Hope it helped!
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3 years ago
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Noah's giant water bottle contains 60 fluid ounces. Noah drank 24 fluid ounces of the water. What percent of the water did Noah
saul85 [17]

Answer: 40

Step-by-step explanation:

40 percent of 60 is 24

6 0
3 years ago
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Their sum is − 1/3 and their difference is 18
Rina8888 [55]

Answer:x=53/6 and y=-55/6

Step-by-step explanation:

Let the first number x

Second number b y

Sum of the numbers x+y=-1/3

x-y=18

Solve simultaneously

Using elimination method

We get

2y=-55/3

y=-55/6

Substitute for y in equation 1

x+55/6=18

x=18-55/6

x=53/6

6 0
3 years ago
The number of times that students go to the movies per year has mean is a normal distribution with a mean of 17 with standard de
antiseptic1488 [7]

Answer:

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are 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.

Central limit Theorem

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

In this problem, we have that:

\mu = 17, \sigma = 8, n = 10, s = \frac{8}{\sqrt{10}} = 2.53

What is the probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times?

This probability is the pvalue of Z when X = 18 subtracted by the pvalue of Z when X = 14. So

X = 18

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

By the Central Limit Theorem

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

Z = \frac{18 - 17}{2.53}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

X = 14

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

Z = \frac{14 - 17}{2.53}

Z = -1.19

Z = -1.19 has a pvalue of 0.1170

0.6554 - 0.1170 = 0.5384

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

3 0
3 years ago
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