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3 years ago

Jessica is 63 inches tall. What is her height to the nearest centimeter? (Hint 1 in = 2.54 cm)

Mathematics

2 answers:

malfutka [58]3 years ago

8 0

Answer:

160 cm.

When you multiply 2.54 by 63, you get 160.02, but when you round it, it goes to 160. Therefore, Jessica's height is 160 cm.

Nikolay [14]3 years ago

3 0

Answer:

thx for the help your a lif sver\

Step-by-step explanation:

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Write in the simplest form. -4/7 ÷ 8/9

RSB [31]

Answer:

-9/14

Step-by-step explanation:

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2 years ago

Debra walked her dog to the south. They walked 50 meters in 150 seconds.

abruzzese [7]

Answer:

Step-by-step explanation:

Because... 150 divided by 50 = 3

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3 years ago

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nirvana33 [79]

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3 years ago

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

$M = z\frac{\sigma}{\sqrt{n}}$

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

3 0

3 years ago

I need help with this question: Label: Coefficients, variables, terms, and constant. −2x2 + 9x − 3

iVinArrow [24]

Answer:

coefficients: {-2, +9, -3}

variables: {x}

terms: {-2x^2, 9x, -3}

constant: {-3}

Step-by-step explanation:

It is difficult to "label" here, so we'll list each, separated by commas.

Coefficients

Coefficients are the multiplicative factor of an expression. Depending on the expression of interest, it may consist of numbers, variables, or expressions. Here, we consider the expression of interest to be powers of x, so the coefficients are as listed. The last one (-3) is sometimes called a "constant coefficient." It multiplies x^0.

coefficients: {-2, +9, -3}

Variables

A variable is usually a letter, symbol, or sequence of letters and symbols, that stands for something else--usually an unknown quantity. Its meaning and value will depend on the context. Generic variables are usually taken from the end of the alphabet: x, y, z. Their capitalization, font, or face may give special meaning. For example bold-face capital letters may be used to represent vectors or matrices.

variables: {x}

Terms

A term is a product of coefficients and variables. Terms in a polynomial are separated by addition or subtraction symbols.

terms: {-2x^2, 9x, -3}

Constant

"Constant" usually refers to a term containing no variables. It generally refers to a value that doesn't change.

constant: {-3}

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3 years ago