MATHEMATICS COLLEGE

What pair of numbers shows a common factor and a common multiple of 15 and 18?

Answers

Answer 1

Answer:

Answer:

3 is the GCF

Step-by-step explanation:

that is your answer

Answer 2

Answer:

Answer:

Common factors of 15 and 18

Factors for 15: 1, 3, 5, and 15. Factors for 18: 1, 2, 3, 6, 9, and 18.

Step-by-step explanation:

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A world class sprinter ran 200 m in 22.75s. What was her average speed?m/sEnter a number.
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Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed? A: 4+4+4+4B: 8+8+8+8C: (-1)(4+4+4+4)D: (-8)+(-8)+(-8)+(-8)

Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the other 70% want a used copy. Consider randomly selecting 15 purchasers.The bookstore has 10 new copies and 10 used copies in stock.
If 15 people come in one by one to purchase this text, what is the probability that all 15 will get the type of book they want from current stock?

Answers

Answer:

The probability that all 15 will get the type of book they want from current stock is 0.4838.

Step-by-step explanation:

Denote the random variable Xas the number of students who want to buy new copy.

The probability of a student wanting to buy a new copy is, P (X) = p = 0.30.

A random sample of n = 15 students is selected.

The random variable X follows a Binomial distribution.

The probability function of a Binomial distribution is:

$P(X=x)={n\choose x}p^(x)(1-p)^(n-x);\ x=0, 1, 2, 3,...$

It is provided that the bookstore has 10 new copies and 10 used copies in stock.

All the 15 students get their desired copy, then this can happen if at most 10 want to buy new copy and at least 5 wants to buy used copy.

Compute the probability of (5 ≤ X ≤ 10) as follows:

P (5 ≤ X ≤ 10) = P (X = 5) + P (X = 6) + P (X = 7) + P (X = 8) + P (X = 9) + P (X = 10)

$={15\choose 5}(0.30)^(5)(1-0.30)^(15-5)+{15\choose 6}(0.30)^(6)(1-0.30)^(15-6)\n+{15\choose 7}(0.30)^(7)(1-0.30)^(15-7)+{15\choose 8}(0.30)^(8)(1-0.30)^(15-8)\n+{15\choose 9}(0.30)^(9)(1-0.30)^(15-9)+{15\choose 10}(0.30)^(10)(1-0.30)^(15-10)\n=0.2061+0.1472+0.0811+0.0348+0.0116+0.0030\n=0.4838$

Thus, the probability that all 15 will get the type of book they want from current stock is 0.4838.

Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4ta. plane
b. hyperbolic paraboloid
c circular paraboloid
d.circular cylinder
e. elliptic cylinder

Answers

Following are the calculation to the given equation:

Given vector equation:

$\to r(s, t)= (s \sin 4t,s^2, s \cos 4t)$

The corresponding parametric equations for the given surface is given by,

$x=s \sin 4t\n\n y =s^2\n\n z=s \cos 4t$

For any point (x,y,z) we have that,

$x^2+z^2 = (s \sin 4t)^2 +(s \cos 4t)^2$

$= s^2 \sin^2 4t +s^2 \cos^2 4t \n\n= s^2 (\sin^2 4t+cos^2 4t) \n\n= s^2 (1) \n\n=s^2\n\n=y \n$

So, after eliminating the parameters, we get, $x^2 +z^2 = y$

Therefore, the answer is "Option c".

Learn more:

brainly.com/question/4452427

Final answer:

The surface represented by the given vector equation r(s, t) = s sin 4t, s2, s cos 4t is a circular cylinder. This can be inferred from the structure of the equation and the characteristics of the represented shapes.

Explanation:

The surface represented by the given vector equation,

r(s, t) = s sin 4t, s2, s cos 4t

, is a type of cylindrical surface due to the structure of the equation. This can be identified by the s terms being tied to sin/cos functions and an independent s^2 term. This shows that the s variable is acting as a 'driver' of the shape, while t coordinates the rotation. Owing to the periodic sin and cos functions in the vector equation, the surface does not lie in a single plane, ruling out the option of a plane. It also does not exhibit features of a paraboloid or hyperbolic paraboloid. Hence, it's shown that the vector equation represents a

circular cylinder

Learn more about Vector Equations here:

brainly.com/question/30561769

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luis read a 300 page book in 6 days on the first day he read 120 pages each day after that he read the same amount of pages writ the equation that can be determined the number of pages read on each day after rhe first day

Answers

120+(XN)= 300
this should be the correct answer
BRAINLIEST PLEASE
x= pages read per day
n= number of days

Answerrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Depends on the amount of cups in the recipe to start with, let’s say it starts with a 1 c recipe, for a 4 c you would need 1 c of lemon juice. So it’s probably.....

1 c of lemon juice

A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 2200 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of the two cars that week?

Answers

Answer:

The car that has a fuel efficiency of 40 mpg consumed 35 gallons, while the car that has a fuel efficiency of 20 mpg consumed 40 gallons.

Step-by-step explanation:

The variable a will represent the fuel consumed by the first car, and the variable b will represent the fuel consumed by the second car.

Set up the formula: a+b=75, which will represent the total gas consumption.

The formula 20a+40b=2200 will help you solve.

To solve, we will first solve for a by changing the formula from a+b=75 to b=75-a. Then you plug in the value of b to the second formula:

20a+40(75-a)=2200

20a+3000-40a=2200

3000-20a=2200

After subtracting 3000 from both sides, you are left with -20a=-800. Multiply both sides by -1 so that both sides are positive:

20a=800

a=40

Now that we know that the car with a 20 mpg fuel efficiency consumed 40 gallons that week, we can subtract 40 from 75, leaving us with 35 being the amount of gallons consumed by the car with a 40 mpg efficiency.

Question 10 of 321 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13