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3 years ago

What is 12.5% written as a fraction in simplest form

Mathematics

2 answers:

Helga [31]3 years ago

7 0

12.5% goes to .125
so .125 as a fraction is:
$\frac{1}{8}$

Nat2105 [25]3 years ago

6 0

karlijoy is correct!!

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The black figure is an ellipse, and the black line segment is is major axis. What is the length of the blue line segment?

NeTakaya

Answer:

Step-by-step explanation:

The formula we need to solve this is:

$d_1+d_2=2a$

Where

$d_1$ is the distance from one focus to the vertex

$d_2$ is the second distance from another focus to same vertex

Note: Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci

$a$ is half the length of the major axis (which is 9 here since total major axis is given as 18)

Now we can plug into the equation and solve:

$d_1+d_2=2a\\8.5+d_2=2(9)\\8.5+d_2=18\\d_2=18-8.5\\d_2=9.5$

D is the correct answer.

6 0

3 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

5 0

3 years ago

Suppose your friends parents invest $10,000 in an account paying 7% compounded annually. what will the balance be after 8 years?

ioda

Answer:

17,181.86

Step-by-step explanation:

Just keep multiplying each answer by 1.07 till you reach 8 years.

7 0

3 years ago

Read 2 more answers

Das is a question for sombody 1+6/3=what (simplify it)

ipn [44]

It would be 3 that is my answer

7 0

3 years ago

Read 2 more answers

PLEASE HELP IM REALLY FAILING

Andrews [41]

Step-by-step explanation:

1. the depth is what makes this a three-dimensional figure since there are three dimensions length width and depth all three of these dimensions are used to find the volume of a rectangular prism

2. L×w×h

4 0

3 years ago