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ivolga24 [154]
2 years ago
14

How do I find angle 1?

Mathematics
2 answers:
kiruha [24]2 years ago
6 0

Answer:

60º

Step-by-step explanation:

The two triangles on the left are equilateral as the sides are all conguent.

The angles of an equilateral triangle are all 60º

Therefor the two angles to the left of angle 1 are both 60º for a combined value of 120º

Angle 1 must be 180 - 120 = 60º

Mumz [18]2 years ago
6 0

To find angle 1, you have to add all adjacent angles, which equal 180°

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The person would be able to get a week pass
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A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When
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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
3 years ago
Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 255 tickets from a previous vi
aliya0001 [1]

Answer:

20 games.

Step-by-step explanation:

Given:

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize.

She has 255 tickets from a previous visit.

She earns 6 tickets for each game she plays.

Meredith needs 375 tickets to exchange for the prize she wants.

Question asked:

How many games does Meredith need to play?

Solution:

Total tickets needed to exchange for the prize = 375

Meredith already have = 255 tickets

More tickets needed = 375 - 255 = 120 tickets

<u>By unitary method:</u>

She earns 6 tickets by playing = 1 game

She earns 1 ticket by playing = \frac{1}{6} game

She earns 120 tickets by playing =  \frac{1}{6}\times120=\frac{120}{6} =20\ games

Therefore, she needs to play 20 games to earn 120 more tickets.

3 0
3 years ago
What is the simplified form of the following expression? Assume y=0 ^3 sqrt 12x^2/16y
pochemuha

For this case we must simplify the following expression:

\sqrt [3] {\frac {12x ^ 2} {16y}}

We rewrite the expression as:

\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\frac{\sqrt[3]{3x^2}}{\sqrt[3]{4y}}=

We multiply the numerator and denominator by:

(\sqrt[3]{4y})^2:\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{\sqrt[3]{4y}*(\sqrt[3]{4y})^2}=

We use the rule of powera ^ n * a ^ m = a ^ {n + m} in the denominator:

\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{(\sqrt[3]{4y})^3}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{4y}=

Move the exponent within the radical:

\frac{\sqrt[3]{3x^2}*(\sqrt[3]{16y^2}}{4y}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{2^3*(2y^2)}}{4y}=

\frac{2\sqrt[3]{3x^2}*(\sqrt[3]{(2y^2)}}{4y}=\\\frac{2\sqrt[3]{6x^2*y^2}}{4y}=

\frac{\sqrt[3]{6x^2*y^2}}{2y}

Answer:

\frac{\sqrt[3]{6x^2*y^2}}{2y}

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