is 15 a whole number
1. yes
2. no

Answer:

0.0233

Step-by-step explanation:

We are told that 40% of students prefer to use pencils over pens for their assignments.

This means 40 out of 100 students prefer to use pencils over pens.

Thus, for the first draw, P(pencil over pens for first draw) = 40/100

Since person using pencil over pens is selected without replacement, then, we now have a sample space of 99;

Second draw; P(pencil over pens for 2nd draw) = 39/99

Similarly, for third draw; P(pencil over pens for 3rd draw) = 38/98

For fourth draw; P(pencil over pens for 4th draw) = 37/97

Thus;

probability that you randomly select four students and all four prefer to use pencils over pens is;

P(all four prefer pencils over pens) = (40/100) × (39/99) × (38/98) × (37/97) = 0.0233

Answer:

[tex]\dfrac{15}{2}[/tex]

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

Denominator = 16

mph = miles per hour

We need to find an expression expressed as a decimal.

So,

[tex]\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}[/tex]

So, the final answer is [tex]\dfrac{15}{2}[/tex].

Answer:

520

Step-by-step explanation:

must be the answer..

Answer:

510 or 500

Step-by-step explanation:

80 + 90 + 60 + 100 + 80 + 100 = 510

80 + 80 + 60 + 100 + 80 + 100 +500

it depends how you learned to round 5's either up down

The answer is A.

Step-by-step explanation:

Domain = all possible values of x

From the graph, we can tell that x can be any value as the graph goes on forever.

Hence Df = {x: x <== All real numbers}

Answer:

0.058

Step-by-step explanation:

I have no idea but maybe if you would pay attention in class you would know how to do it. I just need my points so I can keep getting answers. good luck tho

Answer:

Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.

Step-by-step explanation:

Let P be the required location of pole .

A and B are the two gates.

Let the distance of pole at p from gate be 'x' meters

i.e. PB = x m

•°• AP = (x + 7)m and AB = 13 m

•°• AP² + BP² = AB² => (x +7)² + x =13²

Rejecting x =-12, we get x = 5

•°• PB = 5m

and

AP = 12m

(I hope this helped :)

Step-by-step explanation:

10x6s=60

100 divided by 60

=5/3 m/s  OR  1.6666666666666666666 m/s

Answer:

D. 6 ft

Step-by-step explanation:

Answer:

1/2 or 50%

Step-by-step explanation:

good

Answer:

hopes this helps

Step-by-step explanation:

24/25

It is an irrational number.

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

Your graph would be correct if the given equation was |x| = 5

This is because |x| describes the distance x is from zero, and asking |x| = 5 means we want to find which values are 5 units away from zero: those two values being 5 and -5.

--------------

However, your teacher gave you instead |x| = -5. The distance cannot be negative, so |x| is never negative. Therefore, |x| = -5 has no solutions

The graph will simply be an empty number line with no points plotted on it.

Round this value however you need to.

=====================================================

Explanation:

The given set of values is {11, 86, 46}

Add up the numbers to get 11+86+46 = 143

Then divide by 3 to get 143/3 = 47.667 approximately. We divided by 3 because there are 3 values in the given set.

Answer:

y = -3/4x

Step-by-step explanation:

Answer:

18

Step-by-step explanation

Let's say that  the amount of 5 dollar bills is x and 20 dollar bills is y, with this we can make an equation

x + y = 24

With that we can say that

5x + 20y = 210

Because that is how much each bill costs and the amount of which will equal a total of 210

Solve this systems of equations using elimination

5x + 5y = 120

-5x - 20y = -210

-15y = -90

y = 6

Plug in y = 6 to the first equation.

x + 6 = 24

x = 18

18 is the amount of 5 dollar bills.

Answer:

A. Plane SXT, Plane PQR

B. Points S, R, and T

C. Line ST and Line PQ intersect [] Line PQ and Line YX intersect

Step-by-step explanation:

For the image below we decrypt ;

This is further explained below.

Generally, a Plane is simply defined as three noncollinear endpoints, two parallel lines,

If two or more points are located on the same straight line, they are said to be collinear.

In conclusion, Intersecting lines cuts across one or more lines to create an intercept

Read more about Intersecting lines

https://brainly.com/question/11297403

#SPJ9

Answer:

what r u asking?

Step-by-step explanation:

Answer:

x is equal to 4.3

Step-by-step explanation:

since it's -4.3 + x is equal to 0

you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3

Answer:

113.1

Step-by-step explanation:

Solution

A=

4

π

r

2

=

4

π

3

2

≈

113.09734

Answer:

Answer

5.0/5

13

jack295

The answer is 8x +20

Answer:

14 - 2x

Step-by-step explanation:

4 - 2(x + 5)

4 - 2x + 10

14 - 2x

Answer:

14

Step-by-step explanation:

because when you solve the equation you subract 15 from both sides and then divide -7 from the answer

Answer:

x < 5

Step-by-step explanation:

Step 1 :- Move constant to the right-hand side and change their sign.

Step 2 :- Calculate the difference.

Step 3 :- Divide both side of the inequality by -7 and flip the inequality sign.

Answer

V (-15,5)

S (-9,2)

T(-14,2)

U (-20,5)

your welcome:)

Answer:

[tex] { \tt{x + y + 2 = 0}} \\ y = - x - 2 \\ \\ { \tt{x + y - 2 = 0}} \\ y = - x + 2 \\ \\ { \tt{x - y - 2 = 0}} \\ - y = - x + 2 \\ y = x - 2[/tex]