All categories

3 years ago

A card is drawn from a well-shuffled deck of 52. Find p(drawing a face or a 4)

Mathematics

1 answer:

Musya8 [376]3 years ago

4 0

Answer:

the answer is none of those it is 4/13

You might be interested in

(√2)^3

Natalka [10]

Answer:

√8

Step-by-step explanation:

√2x√2x√2 is 2x2x2 which is 8 then the square root √8.

6 0

2 years ago

A monomial of the 2 degree with a leading coefficient of 3

Ilia_Sergeevich [38]

Answer:

In the procedure

Step-by-step explanation:

we know that

A polynomial which has only one term is called monomial

The degree of a monomial is defined as the sum of all the exponents of the variables

<em>Examples</em>

If the monomial has only one variable

3x² -----> is a monomial of the 2 degree with a leading coefficient of 3

If the monomial has more than one variable

3xy ----> is a monomial of the 2 degree with a leading coefficient of 3

6 0

3 years ago

Read 2 more answers

George has raised $60 towards his fundraising goal. This is 3/4 of his goal. How much money is George wanting to fundraise?

Alina [70]

$80....................

5 0

2 years ago

Read 2 more answers

A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0

3 years ago

The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.

djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

where,

$r_1$ = radius of sphere = $\frac{Diamtere}{2}=\frac{8cm}{2}=4cm$

$r_2$ = radius of cylindrical wire = $\frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm$

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

$\frac{4}{3}\times r_1^3=r_2^2h$

$\frac{4}{3}\times (4)^3=(0.1)^2h$

$h=8533.33cm\approx 8533cm$

Therefore, the length of the wire is, 8533 cm

6 0

3 years ago