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3 years ago

Help!!!!

Mathematics

2 answers:

____ [38]3 years ago

8 0

This is a relatively easy question if you know a couple things, so let me walk you through this step by step ok?

<em>Answer: 115°</em>

<h3>Sum of interior angles of a pentagon: 540°</h3>

Now with that said:

Your first step is to add all of the interior angles together, and then subtract it from the total sum of the interior angles of the shape that your working with.

If you don't know what the sum of all of the interior angles are for the shape you are working with, you can easily look it up on google to be sure.

<em>If you have anymore questions, </em>Don't be afraid to ask! I'm always glad to help, also if I am wrong please let me know and I promise I will come back and rework my math.

<h2>Thanks!</h2>

ad-work [718]3 years ago

4 0

Answer:

Option A 115.

Step-by-step explanation:

In any quadrilateral having number of sides = n

Sum of all interior angles is = ( n-2 ) × 180°

Now in this question number of sides are n = 5

so sum of interior angles = (5 - 2) × 180°

= 3 × 180°

= 540°

Now sum of all interior angles = 90 + 135 + y + 88 + 112

= 425 + y

By the definition of interior angles.

425 + y = 540

y = 540 - 425

= 115°

Therefore, option A is the answer.

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In Mr. Scott’s class the ratio of boys to girls is 2:3. The total number of students in Mr. Scott’s class is 30. What percent of

Yuri [45]

Answer:

40% of the class is Girls, so 12 students are girls

Step-by-step explanation:

add up the ratio

2+3=5

divide by 5

30/5=6

multipy ratio to find totial number of students

2*6=12

2*3=18

divide the number of students to get the pecentage

12/30=0.4=40%

18/30=0.6=60%

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3 years ago

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QveST [7]

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3 years ago

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Effectus [21]

Answer:

9 x 7 = 63 is cost of 9 people

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3 0

3 years ago

HELP FAST! Will give Brainiest i mainly need help on part C.

olchik [2.2K]

Part A: First, list multiples for each number. The multiples of 5 are: 5, 10, 15, 20, 25 30, 35, 40, 45, 50, 55, 60, etc. The multiples of 12 are: 12, 24, 36,48, 60, etc. The least common multiple is the first common multiple between the two, in this case being 60. The LCM of 5 and 12 is 60.

Part B: SImilar to above, list all factors for each number. 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 81: 1, 3, 9, 27, and 81. The greatest common factor is the highest common number, 9 in this case. The GCF of 72 and 81 is 9.

Part C: To rewrite, we need to take out the 9 by dividing. 72/9 is 8. 81/9 is 9. Therefore, we would get 9(8+9), to equal 153. Your answer here is 9( 8 + 9 ). Hope this helped!

4 0

3 years ago

The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and

Firdavs [7]

Answer:

$P(39 < X < 48 ) = 0.8767$

95% of all sample means will fall between $40.1 < \mu < 49.9$

$\= x = 41. 795$

$n = 25$

Step-by-step explanation:

From the question we are told that

The mean is $n = 45$

The population standard deviation is $\sigma = 10$

The sample size is n = 16

Generally the standard error of the mean is mathematically represented as

$\sigma_{x} = \frac{ \sigma}{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 10 }{\sqrt{16 } }$

=> $\sigma_{x} = 2.5$

Generally the probability that the sample mean will be between 39 and 48 minutes is

$P(39 < X < 48 ) = P( \frac{ 39 - 45}{ 2.5} < \frac{X - \mu }{\sigma } < \frac{ 48 - 45}{ 2.5} )$

=> $P(39 < X < 48 ) = P(-2.4 < Z< 1.2 )$

=> $P(39 < X < 48 ) = P( Z< 1.2 ) - P(Z < -2.4)$

From the z table the area under the normal curve to the left corresponding to 1.2 and -2.4 is

=> $P( Z< 1.2 ) = 0.88493$

and

$P( Z< - 2.4 ) = 0.0081975$

$P(39 < X < 48 ) = 0.88493 -0.0081975$

=> $P(39 < X < 48 ) = 0.8767$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * 2.5$

=> $E =4.9$

Generally the 95% of all sample means will fall between

$\mu -E < and \mu +E$

=> $45 -4.9\ and \ 45 + 4.9$

Generally the value which 90% of sample means is greater than is mathematically represented

$P( \= X > \= x ) = 0.90$

=> $P( \= X > \= x ) = P( \frac{\= X - \mu }{ \sigma_x} > \frac{\= x -45 }{ 2.5} ) = 0.90$

=> $P( \= X > \= x ) = P( Z > z ) = 0.90$

Generally from the z-table the critical value of 0.90 is

$z = -1.282$

$\frac{\= x -45 }{ 2.5} = -1.282$

=> $\= x = 41. 795$

Considering question 2

Generally we are told that the standard deviation of the mean to be one fifth of the population standard deviation, this is mathematically represented as

$s = \frac{1}{5} \sigma$

Generally the standard deviation of the sample mean is mathematically represented as

$s = \frac{\sigma }{ \sqrt{n} }$

=> $\frac{1}{5} \sigma = \frac{\sigma }{ \sqrt{n} }$

=> $n = 5^2$

=> $n = 25$

5 0

3 years ago