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marin [14]
2 years ago
13

Round 23.2736 to the nearest thousandth​

Mathematics
1 answer:
alekssr [168]2 years ago
5 0

Answer:

23.274

Step-by-step explanation:

Here, rounding to the nearest thousandth means rounding to the nearest 0.001.

Hence, due to the digit being rounded having a number larger than 5 after it (0.2736), it is rounded up.

Hope this helped!

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Write the following sum using summation notation -2/5+3/6-4/7........11/14
horrorfan [7]

Answer:

\sum_{n=1}^{10}(-1)^n\left ( \frac{n+1}{n+4} \right )

Step-by-step explanation:

Given: \frac{-2}{5}+\frac{3}{6}-\frac{4}{7}+...+\frac{11}{14}

To write: the given expression using summation notation

Solution:

Summation notation helps to write a long sum as a single expression.

In the summation notation, the variable \sum is called the index of summation.

Let x_1,x_2,x_3,...,x_n denote a set of n numbers.

Then in summation notation,

x_1+x_2+x_3+...+x_n=\sum_{i=1}^{n}x_i

\frac{-2}{5}=(-1)^1\left ( \frac{1+1}{1+4} \right )\\\frac{3}{6}=(-1)^2\left ( \frac{2+1}{2+4} \right )\\\frac{-4}{7}=(-1)^3\left ( \frac{3+1}{3+4} \right )\\.\\.\\.\\\frac{11}{14}=(-1)^10\left ( \frac{10+1}{10+4} \right )\\\therefore \frac{-2}{5}+\frac{3}{6}-\frac{4}{7}+...+\frac{11}{14}=\sum_{n=1}^{10}(-1)^n\left ( \frac{n+1}{n+4} \right )

3 0
3 years ago
65(x-5)+x=180 please help. Leave description please! Thank you!
m_a_m_a [10]
You multiply 65 to the x and negative 5
4 0
2 years ago
Read 2 more answers
The American Automobile Association reported that families planning to travel over the Labor Day weekend would spend an average
Anuta_ua [19.1K]

Answer:

0.7486 = 74.86% probability of family expenses for the weekend being more than $580.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions 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.

The American Automobile Association reported that families planning to travel over the Labor Day weekend would spend an average of $735.

This means that \mu = 735

Assume that the amount spent is normally distributed with a standard deviation of $230.

This means that \sigma = 230

What is the probability of family expenses for the weekend being: a. more than $580

This is 1 subtracted by the pvalue of Z when X = 580. So

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

Z = \frac{580 - 735}{230}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514

1 - 0.2514 = 0.7486

0.7486 = 74.86% probability of family expenses for the weekend being more than $580.

5 0
2 years ago
Please Help me with X and Y
Bad White [126]

Answer:

a) x = 69°

b) y = 69°

Step-by-step explanation:

a. Given that AB and CD are parallel lines, therefore:

x = 69° (alternate interior angles are congruent to each other)

b. y + 111° = 180° (consecutive interior angles are supplementary)

y = 180° - 111° (substraction property of equality)

y = 69°

6 0
3 years ago
Lauren buy a television that cost $805 she plans to make equal payments of $38 each a month until the television is paid in full
jeka94
First, do $805 divided by $38. Your approximate answer should be about 21.184. This means, she is going to pay $38 for the next 22 months
8 0
3 years ago
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