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2 years ago

May got 12 marks out of 20 and Sasha got 14 marks out of 25. Who performed better?

Mathematics

1 answer:

WINSTONCH [101]2 years ago

6 0

Answer:

May performed better

Step-by-step explanation:

To compare their marks change their scores to percentages.

To change a fraction to a percent multiply by 100%

$\frac{12}{20}$ × 100% = 0.6 × 100% = 60%

$\frac{14}{25}$ × 100% = 0.56 × 100% = 56%

May performed better with 60%

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Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's s

alukav5142 [94]

Answer:

The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km

Step-by-step explanation:

The given parameters from the question are;

The elevation of the meteor above the Earth's surface = 100 km

The rate at which the meteor falls = 20 km per second

The 'x' values represent the time in seconds and the 'y' values represent the meteor's height

Therefore, we have;

y = 100 - 20·x

The domain of a function is the set of inputs to the function

Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface

At the start x = 0 seconds

On the Earth's surface, y = 0, therefore;

0 = 100 - 20·x

x = 100/20 = 5

When the meteor just touches the Earth's surface x = 5 seconds

Therefore, the domain is 0 ≤ x ≤ 5.

8 0

3 years ago

The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centime

Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

X: height of a college student. (cm)

There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.

The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:

X[bar]~~N(μ;σ2/n)

Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

98% CI

1 - α: 0.98

⇒α: 0.02

α/2: 0.01

$Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99} =2.334$

X[bar] ± $Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }$

174.5 ± $2.334* \frac{6.9}{\sqrt{50} }$

[172.22; 176.78]

With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].

I hope it helps!

4 0

2 years ago

Stores open at the craziest hours on Black Friday Some

blondinia [14]

Answer:

Happy Thanksgiving, my friends.

Step-by-step explanation:

7 0

3 years ago

Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle. How many unique triangles can Gloria dra

butalik [34]

Answer:

Just two

Step-by-step explanation:

Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.

The presence of 90 degrees indicates that it's a right angle triangle.

The remaining angle= 180-90-42

The remaining angle= 48 degrees

Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.

4 0

3 years ago

Little Johnny is fleeing from a horde of zombies. He is 4000 feet from a safe zone where a gate will be closed in 3 minutes. If

Free_Kalibri [48]

Answer:

Johnny will be able to reach the safe zone before the gate is closed.

Step-by-step explanation:

Given that:

Distance of Little Johnny from safe zone = 4000 feet

Time = 3 minutes

Speed = 22 mph

To find:

Will Johnny be able to reach the safe zone ?

Solution:

Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.

Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.

Let us have a look at the formula of distance traveled:

$Distance = Speed \times Time$

Time = 3 minutes = $\frac{3}{60}$ hrs

Speed = 22 mph

$Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles$

We know that 1 mile = 5280 feet

Therefore 1.1 miles = 5280 $\times$ 1.1 feet = 5808 feet

Distance traveled by Little Johnny is greater than 4000 feet.

Therefore Johnny will be able to reach the safe zone before the gate is closed.

8 0

3 years ago