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3 years ago

Fine the probability. NEED THE STEPS IF POSSIBLE.

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

5 0

Answer:

The probability of getting an even number on a number cube is 1/2

The probability of getting the heads on a dime is 1/2

Step-by-step explanation:

A number cube has six numbers

And three of those numbers are even numbers.

Therefore;

Probability = 3/6

= 1/2

A dime has two faces, heads and tails

One of them is heads

Therefore;

Probability = 1/2

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A fully-loaded truck is carrying grain to a storage silo. if the truck is 8 feet wide, 40 feet long, and 4 feet deep, how many b

lukranit [14]

8 x 40 x 4 = 1280 cubic feet

1.25 cubic feet = 1 bushel
1 cubic feet = 1/1.25 = 0.8
1280 cubic feet = 0.8 x 1280 = 1024 bushel

7 0

3 years ago

Read 2 more answers

The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?

goldenfox [79]

$f(x)=\quad 2{ x }^{ 2 }+3x+5$

Let's called the input 'z'

When we plug 'z' in the function we get ;

$f(z)=\quad 2{ z }^{ 2 }+3z+5$

And we know that, this is equal to 19, so ;

$2{ z }^{ 2 }+3z+5=\quad 19$

Let's rearrange the equation.

$2{ z }^{ 2 }+3z+5=\quad 19\\ \\ 2{ z }^{ 2 }+3z=\quad 19-5\\ \\ 2{ z }^{ 2 }+3z=\quad 14\\ \\ 2{ z }^{ 2 }+3z-14=\quad 0$

So we have a quadratic equation here.

We'll use this formula to solve it :

$\frac { -b\pm \sqrt { { b }^{ 2 }-4ac } }{ 2a }$

The formula is used in equation formed like this :

$a{ x }^{ 2 }+bx+c=0$

In our equation,

a=2 , b=3 and c=-14

Let's plug in the values in the formula to solve,

$a=2\quad b=3\quad c=-14\\ \\ \frac { -3\pm \sqrt { 9-(4\cdot 2\cdot -14) } }{ 4 } \\ \\ \frac { -3\pm \sqrt { 9-(-112) } }{ 4 } \\ \\ \frac { -3\pm \sqrt { 9+112 } }{ 4 } \\ \\ \frac { -3\pm \sqrt { 121 } }{ 4 } \\ \\ \frac { -3\pm 11 }{ 4 }$

So,

$z=\quad \frac { -3+11 }{ 4 } \quad ,\quad \frac { -3-11 }{ 4 } \\ \\ z=\quad \frac { 8 }{ 4 } \quad ,\quad \frac { -14 }{ 4 } \\ \\ z=\quad 2,\quad -\frac { 7 }{ 2 }$

So the input can be both, 2 and $-\frac{7}{2}$

8 0

3 years ago

Evaluate for given value: m x 4/5 for m = 7/8

Ray Of Light [21]

(7/8)*(4/5)=(7/(4*2))*(4/5) =7/10, you can write it also as 0.7

8 0

3 years ago

Your school club has a bake sale to raise money. Your club offers muffins for $.50 each and bagels for $.75 each. In one hour yo

zhannawk [14.2K]

Answer:

18 muffins

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=34 (1)

0.50x+0.75y=21 (2)

where x is the number of muffins and y is the number of bagels.

First, you can isolate x in (1):

x=34-y (3)

Then, you can replace (3) in (2):

0.50(34-y)+0.75y=21

17-0.5y+0.75y=21

0.25y=21-17

0.25y=4

y=4/0.25

y=16

Now you can replace the value of "y" in (3):

x=34-16

x=18

According to this, the answer is that you sold 18 muffins.

5 0

3 years ago

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Stree

Flauer [41]

Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

<h3>What is Pythagoras theorem?</h3>

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of the right angle triangle.

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour.

They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles.
At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour.

Here, Thus, Florida Avenue is hypotenuse triangular path and the other two sides are Capitol Street and H Street. The distance of Florida Avenue is,

$1^2+1.75^2=d^2\\1+3.0625=d^2\\4.0625=d^2\\d=\sqrt{4.0625}\\d=2.0156$

Thus, Jesse walks 2.0156 with 5 miles per hour. Thus, the time taken by him is

$t_J=\dfrac{2.0}{5}\\t_j=0.4\rm\;hr$

Mark plans to jog back the way they came which is 2.75 miles (1+1.75) long with speed of 12 miles per hour. Thus, the time taken by him is

$t_M=\dfrac{2.75}{12}\\t_M=0.23\rm\;hr$

Thus, Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

Learn more about the Pythagoras theorem here;

brainly.com/question/343682

#SPJ1

3 0

2 years ago