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3 years ago

2,5-[0,2+(-3,7+5)-1,4]

Mathematics

2 answers:

horsena [70]3 years ago

8 0

-0.5 is the answer to this

ValentinkaMS [17]3 years ago

7 0

$2.5 - (0.2 + (3.7 + 5) - 1.4) \\ = 2.5 - (0.2 + 4.2 - 1.4) \\ = 2.5 - (4.4 - 1.4) \\ = 2.5 - 3 \\ = - 0.5$

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Solve the system of equation

Phoenix [80]

Answer:

plain = $10.50

pepperoni = $12.50

Step-by-step explanation:

x = pepperoni

y = plain

3x + 2y = 58.5

2x + 4y = 67

using substitution method, I multiplied the first system by -2 to get:

-6x - 4y = -117

+ 2x + 4y = 67

-4x = -50

x = $12.50

2(12.5) + 4y = 67

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3 years ago

Using altitude and hypotenuse to find the area of a right triangle

Wittaler [7]

First use Pythagoras theorem to find the remaining length of the base.
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3 years ago

Which could you use to prove triangle AED is congruent to triangle CEB?

Hunter-Best [27]

Answer:

Option (C)

Step-by-step explanation:

Given:

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m∠AED = m∠CEB = 90°

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To prove:

ΔAED ≅ ΔCEB

Statements Reasons

1). m∠AED = m∠BC = 90° 1). Given

2). DE = BE 2). Given

3). AD = BC 3). Given

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Option (C) is the answer.

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3 years ago

Simplify \root(3)(8x^(6))y^(12)

ExtremeBDS [4]

The simplification form of the provided expression is 2x²y⁴ option first is correct.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

$= \rm \sqrt[3]{8x^6y^{12}}$

$\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}$

$\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}$

$\rm =2x^2\sqrt[3]{y^{12}}$

$\rm =2x^2y^4$

Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

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2 years ago

A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When

Tanya [424]

Answer:

$ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434$

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

$\hat p = \frac{24}{250}= 0.096$

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.33$

And the margin of error would be:

$ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434$

4 0

4 years ago