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3 years ago

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The prime factorization of 25 is .

1 answer:

Setler [38]3 years ago

4 0

Answer:

$\pi \: the \: prime \: factorization \: of \: 25 \: is \: 5 \: x \: 5 \:$

Step-by-step explanation:

$\pi\pi \: hope \: it \: works \: out \: \pi\pi\pi$

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You roll a 4-sided die repeatedly. On your odd-numbered rolls (1st,3rd,5th, etc.) you are victorious if you get a 4. On your eve

Sunny_sXe [5.5K]

Answer:

E (Y) = 3

Step-by-step explanation:

If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)

The probability of odd number roll will be, p(T) = $\frac{1}{2}$

However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) = $\frac{1}{2}$

In order to calculate: E (Y); We can say Y to be the number of times you roll.

We know that;

E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)

Let us calculate E ( Y|T ) and E ( Y|U )

Y|T ≅ geometric = $\frac{1}{4}$

Y|U ≅ geometric = $\frac{1}{2}$

also; x ≅ geometric (p)

∴ E (x) = $\frac{1}{p}$

⇒ $\frac{Y}{T}$ = 4 ; also $\frac{Y}{U}$ = 2

E (Y) = 4 × $\frac{1}{2}$ + 2 ×

= 2+1

E (Y) = 3

7 0

3 years ago

What is the median of the menu items in the plot below?

DerKrebs [107]

Step-by-step explanation:

There are 13 numbers here:

30, 30, 31, 32, 42, 49, 58, 58, 67, 67, 69, 78, 90.

The median number is the 7th number, which is 58.

6 0

3 years ago

Read 2 more answers

A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas

-BARSIC- [3]

Answer:

392 miles in all.

3 0

3 years ago

A figure is composed of a rectangle and a right triangle. What is the area of the figure?

strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

$A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h$

We substitute the values to obtain;

$Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm$

$Area=\frac{1}{2}(21.6cm)\times 6cm$

$Area=64.8cm^2$

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

$C=2\pi r$

where $r=3.5ft$ is the radius of the circular table cloth.

We substitute this value and $\pi=3.14$ into the formula to get;

$C=2(3.14)(3.5)ft$

$C=21.98ft$

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

$C=\pi r$

where $r=12.5cm$ is the radius of the semicircle.

$C=3.14\times 12.5cm$

$C=39.25cm$

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

$Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh$

$Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24$

$Area=345.3125+300$

$Area=645.3125cm^2$

$Area\approx645cm^2$

QUESTION 6

The area of the parallelogram is given by the formula;

$A=bh$

From the diagram, $b=y\:in.,h=3in.$ .

Given, A=23.7 inches squared.

We substitute the values to obtain;

$23.7=3y$

$y=\frac{23.7}{3}$

$y=7.9in.$

QUESTION 7

The area of a rectangle is given by the formula;

$Area=l\times b$

The area of the bigger rectangle $=9\times15=135in^2$

The area of the smaller rectangle $=8\times 13=104in^2$

The area of the shaded region $=135-104=31in^2$

5 0

3 years ago

7x9=7x5+7x= <br> Please help i’m on a test

mariarad [96]

I can’t see the photo sorry

7 0

3 years ago