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3 years ago

2. Find the distance between A (-1, 4) and B (1.-1) 5.39 5.19 5.29 5.09

Mathematics

1 answer:

Verizon [17]3 years ago

6 0

<h3>Answer: A) 5.39</h3>

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Explanation:

Apply the distance formula.

$d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (-1-1)^2+(4-(-1))^2}\\\\d = \sqrt{ (-1-1)^2+(4+1)^2}\\\\d = \sqrt{ (-2)^2+(5)^2}\\\\d = \sqrt{ 4+25}\\\\d = \sqrt{ 29}\\\\d \approx 5.38516\\\\d \approx 5.39\\\\$

You could also use the pythagorean theorem which is what the distance formula is based off of.

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140% out of what gives 56

Verizon [17]

140 / 100 * X = 56

X = 56 * 100 / 140 = 5600 / 140 = 40

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3 years ago

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An air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maxim

Flura [38]

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

$CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}$

The sample selected is of size, n = 50.

The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, 49}\approx t_{0.025, 60}=2.000$

*Use a t-table.

Compute the sample mean and sample standard deviation as follows:

$\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552$

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

$CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}$

$=6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)$

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7 0

3 years ago

Can someone please help me do this

Viefleur [7K]

Answer:

Step-by-step explanation:

CD is Pole

∠CAD = 4° {Alternate interior angles}

ΔCAD,

$\dfrac{opposite \ side}{adjacent \ side}= tan 4\\\\ \dfrac{90}{AD}=tan \ 4\\\\ \dfrac{90}{AD} = 0.069\\\\90 = 0.069*AD\\\\ \dfrac{90}{0.069}=AD\\\\AD = 1304 \ ft$

In ΔCDB,

∠B = 5° {Alternate interior angles}

$Tan \ 5 = \dfrac{90}{BD}\\\\0.09* BD = 90\\\\BD = \dfrac{90}{0.09}\\\\BD = 1000 \ ft$

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3 years ago

Choose the correct sentence. choose one answer.

tankabanditka [31]

Hoi!

The correct answer would be "Daryl received two 3's as scores on his paper from the readers, but Sheila received two 6's."

When placing a number in a sentence before an S, it is to always have an apostrophe. Along with this, this is the only sentence that uses the correct form of "readers", since in this sentence, "readers" is being used as a plural noun, not a possessive noun.

Possessive nouns contain an apostrophe to show that something belongs to someone else.

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The possessive noun is "her's" because it's showing that she is the owner of the cat.

As for plural tense, it speaks for more than one person or object.

Ex: The cats scrambled up the tree.

The plural noun is "cats" because it's referring to more than one cat.

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3 years ago

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zloy xaker [14]

Answer:

Step-by-step explanation:

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2 years ago