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3 years ago

HELPPP!!! 10 PTS! M angle (6x + 15) = _____

Mathematics

1 answer:

Llana [10]3 years ago

8 0

Answer:

The value of ∠(6x + 15) = 57°

Step-by-step explanation:

Here, ∠1 = (9x + 16)°

∠2 = (6x + 15)° and ∠3 = 136°

THE SUM OF EXTERIOR ANGLE IS THE SUM OF INTERIOR OPPOSITE ANGLES.

⇒ ∠1 + ∠2 = ∠3

or, (9x + 16)° + (6x + 15)° = 136°

or, (9x+ 6x) + (16 + 15) = 136°

or, 15x = 136° - 31 = 105°

⇒ x = 105° / 15 = 7

or, The value of x = 7

So, ∠2 = (6x + 15)° = 6 (7) + 15 = 57°

Hence the value of ∠(6x + 15) = 57°

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3 years ago

A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 gr

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Step-by-step explanation:

Since we have given that

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Standard deviation of the weight of a box = 3 grams

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We need to buy a box of mints that weighs 95 grams.

Sample mean is given by

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Since it is normal distribution, so, we will find z-score.

$z=\frac{x-\mu}{s}\\\\z=\frac{9.5-10}{0.94868}\\\\z=-0.527\\\\$

z = - 0.53

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So, it may be 90% or 95 % confidence.

For 95% confidence level,

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

Similarly,

For 90% confidence level,

$\alpha=\frac{1-0.90}{2}=0.05$

The value is much smaller than 0.05.

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4 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

The data in the table are linear. Use the table to find the slope.

Gemiola [76]

Answer:

$m = -\frac{3}{2}$

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

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First, pick any two corresponding x and y values.

$(x_1,y_1) =(2,1)$

$(x_2,y_2) =(8,-8)\\$

The slope (m) is then calculated using:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

Substitute in, the x and y values

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3 years ago