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seraphim [82]
2 years ago
12

Is this True or false ?

Mathematics
2 answers:
luda_lava [24]2 years ago
8 0

Answer:

True

Step-by-step explanation:

Radical expression.

ipn [44]2 years ago
7 0

Answer:

true

Step-by-step explanation:

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A circle with circumference 6 has an arc with a 20 central angle,<br> What is the length of the arc?
nirvana33 [79]

Answer:

0.3 units

Step-by-step explanation:

The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

\frac{l}{6}=\frac{20}{360}

This implies that:

l=\frac{20}{360}*6

This simplifies to: l=\frac{20}{60}

l=\frac{1}{3}=0.3 units

8 0
3 years ago
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(7m+6) (6m^2+4m+4) I really suck at math
Ostrovityanka [42]

\large\mathfrak{{\pmb{\underline{\orange{Your\:answer }}{\orange{:}}}}}

:⟼  (7m + 6)(6 {m}^{2}  + 4m + 4)

:⟼  7m \: (6  {m}^{2}  + 4m + 4) + 6 \: (6 {m}^{2}  + 4m + 4)

:⟼  42 {m}^{3}  + 28 {m}^{2}  + 28m + 36 {m}^{2}  +24  m  + 24

:⟼  42 {m}^{3}  + 28 {m}^{2}  + 36 {m}^{2}  +  28m + 24m + 24

:⟼  42 {m}^{3}  + 64 {m}^{2}  + 52m + 24

:⟼  2(21 {m}^{3}  + 32 {m}^{2}  + 26m + 12)

\sf \bf {\boxed {\mathbb {HAPPY\:LEARNING.}}}

3 0
2 years ago
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The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

Z = \frac{X - \mu}{\sigma}

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

Z = \frac{X - \mu}{\sigma}

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

Z = \frac{X - \mu}{s}

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

Z = \frac{X - \mu}{s}

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
Solve for x. Round to the nearest tenth, if necessary.
pychu [463]

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

3 0
2 years ago
ILL MARK U BRAINLIEST
Vladimir79 [104]

Answer:

-6x-16

Step-by-step explanation:

5 0
3 years ago
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