Differentiation in mathematics 2

The probability that a randomly selected employee has received the 5-year gift is 39.29%

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a randomly selected employee has received the 5-year gift = number of employees who have received the gift / total number of employees

11/28 x 100 = 39.29%

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The center and shape of the distribution are 2.5 and symmetric. Then the correct option is B.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

Then the center and shape of the distribution will be 2.5.

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Answer:

Center : 2.5 Shape: Symmetric

Step-by-step explanation:

Trust Fam

Look at the below example you may understand better

Step-by-step explanation:

[tex] = {6x}^{3} - {3x}^{2} + 7x - 4[/tex]

[tex] = 6 \times 125 - 3 \times 25 + 7 \times 5 - 4[/tex]

[tex] = 750 - 75 + 35 - 4[/tex]

[tex] = 750 + 35 - 75 - 4 [/tex]

[tex] = 706..[/tex]

Answer:

35 pages per minute is the unit rate

Step-by-step explanation:

Divide 175 by 5 to find the unit rate

Answer:

i think they are 23, 50, and 64!

Step-by-step explanation:

The rate of gallons per square foot is 0.624 gallons per square foot.

A rate demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B.

In this scenario, watering a lawn requires 623 gallons of water for every 1000 sq. ft.

The rate of gallons per square foot will be:

= Number of gallons / Square foot

= 623 / 1000

= 0.623

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Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(lw+wh+lh)

For the Red prism

Ar = 2(162 +324 + 648)
Ar = 2268 square units

For the blue prism

Ab = 2(8 + 16 + 32)
Ab = 112 square units

Take the ratio of the surface area

Ratio = 2268 : 112

Hence the ratio of their surface area is 2268 : 112

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Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.

How to calculate the surface area of a prism?

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(LW+WH+LH)

For the Red prism

For the blue prism

Take the ratio of the surface area

Ratio = 4:81

Hence the ratio of their surface area is 4:81

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Answer: 1500

Hope this helps! :)

Please mark brainliest.

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

We know that,

Substituting the required values,

⇢ Perimeter = 2(8 + 6)

⇢ Perimeter = 2(14)

⇢ Perimeter = 28 yards

Hence,

Answer:

I can't understand

Step-by-step explanation:

-9 and -3

hope it helps...!!!

Answer:

Asking every 5th person their age

Step-by-step explanation:

I just did the quiz

Answer:

30lbs

Step-by-step explanation:

5x6 i think lol maybe

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Explanation:

In this case,

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

Answer:

4 hours

Step-by-step explanation:

Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.

1[tex]\frac{1}{7.5} =\frac{x}{30}[/tex]

Now we cross product.

7.5 multipled by x  =7.5x

1x30=30

so now we have

7.5x=30

Now we have to divide 7.5 on both sides which gives us

x=4

Answer + Step-by-step explanation:

let x be the time that Eric spends running

    y be the time that Eric spends walking

a) the statement “Eric runs and walks for a total of 12 minutes to reach his goal” is equivalent to the equation: x + y = 12

b) the coordinates of the intersection point are (5.333...  ,  6.666...)

Interpretation:

the time that Eric spends running is 5.333... minutes  

the time that Eric spends walking  is 6.666... minutes

Answer:

Given equation:

[tex]200x+80y=1600[/tex]

where:

If Eric runs and walks for a total of 12 minutes, then:

[tex]x+y=12[/tex]

To graph:

[tex]200x+80y=1600 \implies y=20-\dfrac{5}{2}x[/tex]

[tex]\textsf{x-intercept}: \quad 20-\dfrac{5}{2}x=0 \implies x=8 \implies (8,0)[/tex]

[tex]\textsf{y-intercept}: \quad 20-\dfrac{5}{2}(0)=20 \implies (0,20)[/tex]

[tex]x+y=12 \implies y=12-x[/tex]

[tex]\textsf{x-intercept}: \quad 12-x=0 \implies x=12 \implies (12,0)[/tex]

[tex]\textsf{y-intercept}: \quad 12-0=12 \implies (0,12)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}20-\dfrac{5}{2}x &=12-x\\20-12 &=\dfrac{5}{2}x-x\\8&=\dfrac{3}{2}x\\16 &=3x\\x &=\dfrac{16}{3}\end{aligned}[/tex]

[tex]y=12-\dfrac{16}{3}=\dfrac{20}{3}[/tex]

[tex]\implies \left(\dfrac{16}{3},\dfrac{20}{3}\right)[/tex]

The point of intersection tells us that Eric runs for 16/3 mins and walks for 20/3 minutes.

Answer:

Yes, the equation represents a linear relationship.

Step-by-step explanation:

If you graph it, it is a line.

Also, the exponent on the x and the y is exactly 1. There are no variables in the denominator, nor inside a radical. There are no squared, cubes or higher exponents. All these things will make an equation NOT linear.

Answer:

It's mean (I checked this) :)

Step-by-step explanation:

Answer:

y = -x - 4

Step-by-step explanation:

y = mx + b

m = rise/run = -5/5 = -1

b = y-intercept = (0, -4)

1.427381

the nearest hundredth thousandths place.

if the the number right to the hundred thousandths place is 5 or more round up, if not keep it as it is.

= 1.42738

therefore, 1.427381 rounded to the nearest hundred thousandths is 1.42738

The answer is 1.42738

Answer: 5/2

To convert 2.5 into a fraction, firstly we will write the number in x/y form, where x and y are positive integers. So, 2.5 can be written as 2.5/1. For the removal of the decimal, we multiply and divide by 10. And we get, 2.5/1 x 10/10 = 25/10 = 5/2.

Answer:

jack take 3.33 hours and diane would take 5 hours

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

ask your teacher

Answer:

4.796

Step-by-step explanation: