Ask question

Ask question

All categories

Studentka2010 [4]

3 years ago

11

Which fraction has the same value as 0.6

2 answers:

Kaylis [27]3 years ago

5 0

Since 6 is in the tenths place, you could turn the decimal to 6/10. You could simplify 6/10 to 3/5 by dividing the numerator and denominator by 2/2.

Zinaida [17]3 years ago

4 0

Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction $\frac{6}{10}$ . Notice however that $\frac{6}{10}$ is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

-Image Provided-

You might be interested in

Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that the popu

aleksley [76]

Answer:

b. Student-t with 48 degrees of freedom

Step-by-step explanation:

For this case we need to use a Two Sample t Test: equal variances.

Assumptions

When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two populations are normal, and that the variances of the two distributions are the same".

Let $\bar x$ and $\bar y$ be the sample means of two sets of data of size $n_x$ and $n_y$ respectively. We assume that the distribution's of x and y are:

$x \sim N(\mu_x ,\sigma_x =\sigma)$

$y \sim N(\mu_y ,\sigma_y=\sigma)$

Both are normally distributed but without the variance equal for both populations.

The system of hypothesis can be:

Null hypothesis: $\mu_x =\mu_y$

Alternative hypothesis: $\mu_x \neq \mu_y$

We can define the following random variable:

$t=\frac{(\bar x -\bar y)-(\mu_x -\mu_y)}{s\sqrt{\frac{1}{n_x}+\frac{1}{n_y}}}$

The random variable t is distributed $t \sim t_{n_x +n_y -2}$ , with the degrees of freedom $df=n_x +n_y -2= 20+30-2=48$

And the pooled variance can be founded with the following formula:

$s^2=\frac{(n_x -1)s_x^2 +(n_y-1)s_y^2}{n_x +n_y -2}$

So on this case the best answer would be :

b. Student-t with 48 degrees of freedom

5 0

3 years ago

For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of

NeX [460]

Maybe solve by dividing. I think 5/6. Sorry math isn’t my strong suit. I’m good at reading.

5 0

4 years ago

Question 3 (open to see pic)

melamori03 [73]

The points (1,-2) and (4,16) are not in the line but the point (-3,-18) is on the line. (Work is shown in the image)

8 0

3 years ago

15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7c

irakobra [83]

Step-by-step explanation:

Given that,

Height of cylinder = 4 cm
Volume of cylinder = 616 cm³

To find,

Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

$\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\$

<u>Accordi</u><u>ng</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>qu</u><u>estion</u><u>,</u>

$\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\$

$\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\$

$\longmapsto\rm{4312 = 88 \times r^2 }\\$

$\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\$

$\longmapsto\rm{49 = r^2 }\\$

$\longmapsto\rm{\sqrt{49} = r }\\$

$\longmapsto\rm{7 \; cm = r }\\$

Now,

$\longmapsto\rm{Diameter = 2r }\\$

$\longmapsto\rm{Diameter = 2(7 \; cm) }\\$

$\longmapsto\bf{Diameter = 14 \; cm}\\$

The required answer is 14 cm.

4 0

3 years ago

4. A driver set a goal to earn $2,000 in March. He receives a base salary of $1,000 per month as well as a 20% commission for al

VashaNatasha [74]

Answer:$1000

Step-by-step explanation:

3 0

3 years ago