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3 years ago

Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth

Mathematics

1 answer:

DanielleElmas [232]3 years ago

6 0

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

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1/6x -5/9xy^2<br> Find the least common denominator for the two expressions.

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Answer:

Step-by-step explanation:

6x=2×3×x

9xy²=3×3×x×y²

common denominator=2×3×3×x×y²=18xy²

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3 years ago

You have a bag of red, white, and blue marbles. you know there are 11 red, 8 blue, and 3 white marbles in the bag. what's the pr

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I think it’s 8/22. I’m not sure

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4 years ago

Math question: 1 1/2x=6

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Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

The World Health Organization reports that the distribution of ages at time of death in the United States has a mean u of 79.8 y

Alisiya [41]

Answer:

Check explanation

Step-by-step explanation:

Hello!

First, you need to determine your study variable and summarize the information given. This way it'll be easier to answer all questions.

Study variable X: "age of death of an American citizen" (measured in years)
left-skewed distribution
population mean (μ): 79.8 years
population standard derivation (σ): 15.5 years
sample taken (n) 100 death certificates

a. In this question you have to calculate the sample mean (x[bar]) and standard deviation (S), unfortunately, without the sample information, you cannot calculate these two values.

To calculate the sample mean you have to use the formula:

x[bar]: ∑xi/n

And the sample standard deviation

S²: ∑xi² - (∑xi)²/n

S:√S²

b. To answer this item you need to apply the Central Limit Theorem definition to the problem.

This theorem states that given a population with a probability function f (X; μ, σ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance σ²/ n when the sample size tends to infinity (or if the sample size is large enough; n≥30).

With this in mind, you can say that thanks to the Central Limit Theorem, in this example, the sample mean of the age of death of Americans has an approximately Normal distribution X[bar]≈N (79.8; 240.25/100)

c. The probability you need to calculate in this item is P(x(bar)<78)

For this, you need to standardize the variable using the statistical Z=(x[bar]-μ)/(σ²/ n) ≈ N(01;)

P(x[bar]<78) ⇒ P(Z<((78-79.8)/(15.5/√100) ⇒ P(Z<-1.8/1.55) ⇒ P(Z<-1.16) = 0.4364

The probability that the mean age at the time of death in a random sample of 100 American death certificates will be less than 78 years is 0.4364.

I hope you have a SUPER day!

7 0

3 years ago

What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!

Lana71 [14]

Answer:

y = 1/3x - 2:

y - intercept: - 2
x - intercept: 6

y = 12 - 6x:

y - intercept: 12
x - intercept: 2

y = 3x - 7:

y - intercept: -7
x - intercept: 7/3

Step-by-step explanation:

Hello!

<h3>Slope Intercept Form</h3>

The slope-intercept form of a line is $y = mx + b$

y = output, ordinate
m = slope
x = input, abscissa
b = y-intercept

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

0 = 1/3x - 2
2 = 1/3x
6 = x

y - intercept: - 2

x - intercept: 6

____________________________________________________

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

0 = -6x + 12
-12 = -6x
2 = x

y - intercept: 12

x - intercept: 2

____________________________________________________

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

0 = 3x - 7
7 = 3x
x = 7/3

y - intercept: -7

x - intercept: 7/3

<u><em>Additional Note:</em></u>

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

3 0

2 years ago