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3 years ago

Can you please help me do find a resolution for these equations

Mathematics

1 answer:

rusak2 [61]3 years ago

6 0

Answer:

x=-5

Step-by-step explanation:

I did a for #42

2(x-5)=3x+5

simplify

2x-10=3x+5

subtract 2x from both sides

-10=3x+5

subtract 5 from both sides

-15=3x

divide both sides by 3

-5=x

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Which of these statements is true? A. The interior angles of both a regular and irregular pentagon have a sum of 540o. B. The in

Varvara68 [4.7K]

Answer:

Option A is the correct answer.

Step-by-step explanation:

The sum of interior angles of a polygon is given by (n-2) x 180°, where n is the number of sides.

The sum of interior angles will not affect irregularity of polygon, it is same for regular and irregular polygon.

For a pentagon n =5.

Sum of interior angles = (5-2) x 180 = 3 x 180 = 540°

Option A is the correct answer.

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3 years ago

Which graph represents the polar curve r = 4cos(30)?

stepan [7]

The equation of the polar curve $r = 4\cos(3\theta)$ is an even cosine function.

<h3>Polar curves</h3>

In geometry, polar curves are curves that are represented by the polar coordinates such that they are drawn around a fixed point

The equation of the polar curve is given as:

$r = 4\cos(3\theta)$

To graph the polar curve, we make use of the following representations:

r represents the y-axis
$\theta$ represents the x-axis

Using the above representation, we can graph the polar curve

See attachment for the graph that represents $r = 4\cos(3\theta)$

Read more about polar curves at:

brainly.com/question/4618020

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2 years ago

In 16 years, Ben will be 3 times as old as he is now. How old is he?

Igoryamba

First, do 16 x 3 to get 48. Then subtract 16 and youll get 32

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3 years ago

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Want Brainliest? Get this correct , Which rule should be applied to reflect f(x) = x^3 over the y-axis?

Rashid [163]

Answer:

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

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2 years ago

When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distributio

disa [49]

Answer:

The Decision Rule

Fail to reject the null hypothesis

The conclusion

There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

From the question we are told that

The data is

Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8

Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

The level of significance $\alpha = 0.05$

Generally the null hypothesis is $H_o : \mu_1 - \mu_2 = 0$

the alternative hypothesis is $H_a : \mu_1 - \mu_2 > 0$

Generally the sample mean for the age of cars is mathematically represented as

$\= x_1 = \frac{\sum x_i }{n}$

=> $\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8
}{27}$

=> $\= x_1 = 5.56$

Generally the standard deviation of age of cars

$\sigma _1 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _1 = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }$

=> $\sigma _1 = 3.88$

Generally the sample mean for the age of taxi is mathematically represented as

$\= x_2 = \frac{\sum x_i }{n}$

=> $\= x_2 = \frac{8 +8 +0 + \cdots + 4
}{20}$

=> $\= x_2 = 5.85$

Generally the standard deviation of age of taxi

$\sigma _2 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _2 = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }$

=> $\sigma _2 = 2.83$

Generally the test statistics is mathematically represented as

$t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1} + \frac{\sigma^2_2}{n_2} } }$

=> $t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27} + \frac{(2.83)}{20} }}$

=> $t = -0.30$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 -2$

$df = 27 + 20 -2$

$df = 45$

From the t distribution table the $P(t > t )$ at the obtained degree of freedom = 45 is

$P(t > -0.30 ) = 0.61722067$

So the p-value is

$p-value = P(t > T) = 0.61722067$

From the obtained values we see that the p-value > $\alpha$ hence we fail to reject the null hypothesis

Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

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3 years ago