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2 years ago

What is 2/3 Time 2/3

Mathematics

1 answer:

klasskru [66]2 years ago

4 0

Answer:

$\frac{4}{9}$

Step-by-step explanation:

$\frac{2}{3} * \frac{2}{3}$

you multiply across, so you do 2*2 for the numerator, then 3*3 for the denominator. This would equal 4 as the numerator, 9 as the denominator, which is $\frac{4}{9}$

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Which is equivalent to this expression?<br> 2/150 + 3/75

Lesechka [4]

Answer:

Step-by-step explanation:

$\frac{2}{150}$ First reduce this to lowest term

$\frac{2}{150}=\frac{1}{75}\\\\\frac{2}{150}+\frac{3}{75}=\frac{1}{75}+\frac{3}{75}\\\\=\frac{1+3}{75}=\frac{4}{75}\\$

7 0

3 years ago

(02.09) Given a triangle with vertices at points (4, 4), (4, 1), and (2, 1), which set of ordered pairs represents the new verti

wel

Hello!

This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.

(x,y)⇒(-y,x)

We will do this to each point and get our final points.

(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)

Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).

I hope this helps!

4 0

3 years ago

Write down down an equation of a line that is parallel to the line with the equation y=7-x

Bingel [31]

Answer:

y=8-x or y=9-x or y=243-x (The spot where the 8 is can be any number as long as the number infront of the 0 is still -1)

Step-by-step explanation:

5 0

3 years ago

A study was conducted and two types of engines, A and B, were compared. Fifty experiments were performed using engine A and 75 u

USPshnik [31]

Answer:

a) -6 mpg.

b) 2.77 mpg

c) The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Gas mileage A: Mean 36, standard deviation 6, sample of 50:

$\mu_A = 36, s_A = \frac{6}{\sqrt{50}} = 0.8485$

Gas mileage B: Mean 42, standard deviation 8, sample of 50:

$\mu_B = 42, s_B = \frac{8}{\sqrt{50}} = 1.1314$

Distribution of the difference:

Mean:

$\mu = \mu_A - \mu_B = 36 - 42 = -6$

Standard error:

$s = \sqrt{s_A^2+s_B^2} = \sqrt{0.8485^2+1.1314^2} = 1.4142$

A. Find the point estimate.

This is the difference of means, that is, -6 mpg.

B. Find the margin of error

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = zs = 1.96*1.4142 = 2.77$

The margin of error is of 2.77 mpg

C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)

The lower end of the interval is the sample mean subtracted by M. So it is -6 - 2.77 = -8.77 mpg

The upper end of the interval is the sample mean added to M. So it is -6 + 2.77 = -3.23 mpg

The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

8 0

2 years ago

Please help me with math work pol Mrs

storchak [24]

Try to divide 62.01÷ 9 and then do it with the other one

6 0

3 years ago