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3 years ago

Is 5/6 x 2/3 equal to greater than or less than 2/3

Mathematics

2 answers:

viva [34]3 years ago

7 0

Greater than obviously

mart [117]3 years ago

5 0

$\frac{5}{6} \times \frac{2}{3} = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} \\ \frac{2}{3} \times \frac{3}{3} = \frac{6}{9}$
$therefore \: \frac{5}{9} < \frac{6}{9}$

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For each of the given situations, write out the alternative hypothesis, being sure to state whether it is one-sided or two-s

tekilochka [14]

Answer:

Null hypothesis: $p\leq 0.3$

Alternative hypothesis: $p > 0.3$

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is $p>0.3$ since we want to check if the new model has improved the warranty rate, we can express it like this:

$p-0.3$ since are equivalent expressions.

And the alternative hypothesis should be the complement:

Null hypothesis: $p\leq 0.3$ or $p=0.3$

So the correct system of hypothesis for this case would be:

Null hypothesis: $p\leq 0.3$

Alternative hypothesis: $p > 0.3$

The alternative way should be:

Null hypothesis: $p = 0.3$

Alternative hypothesis: $p > 0.3$

3 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

How to do this question plz

andrey2020 [161]

Answer:

Below.

Step-by-step explanation:

I've drawn the answers to (c) and (g) in the attached picture.

First mark the radar point and draw the N line vertically up from this point.

The bearing is the angle, drawn clockwise, from The North (N) line on the radar point. The lines drawn are 5 and 6.5 cms long to indicate the 5 and 6.5 miles.

I have estimated the angles. To draw them accurately you'll need a protractor.

7 0

3 years ago

Please help! It's number 9.

zheka24 [161]

The answer would be D. (3.25 for a burger, and 1.75 for a drink)

5 0

4 years ago

Can some one help me with the three question please :)

DIA [1.3K]

Answer: yes

2. 34

Step-by-step explanation:

only one

4 0

4 years ago