Multiply and reduce to lowest terms
5/13 X 3 3/8

Answers

Answer 1

Answer:

1 31/104

Step-by-step explanation:

First, let's turn them both into improper fractions.

3 3/8 = 27/8

Now we can multiply

It is 5*27 / 13 * 8

This equals: 135 / 104

Simplified even further is:

1 31/104


Related Questions

What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter​

Answers

Answer:

Step-by-step explanation:

The area of a sector in terms of radians as opposed to degrees is

[tex]A=\frac{\theta}{2\pi }*\pi r^2[/tex]

Filling in the formula accordingly gives us

[tex]A=\frac{1.75rad}{2\pi rad}*\pi (2)^2[/tex]

The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with

A = 1.75(2) so

A = 3.5 units squared

Which point is a solution to the system?
A. (0, -1)
B.(2, 3) C.(4,0)
D. (6,-6)

Answers

Answer:

(0;-1)

Step-by-step explanation:

for more details see the attachment.

2. Employed Women If 60% of all women are employed
outside the home, find the probability that in a sample
of 20 women,
aid sel
Mil
2
a. Exactly 15 are employed
b. At least 10 are employed
c. At most 5 are not employed outside the home

Answers

Using the binomial distribution, the probabilities are given as follows:

a) 0.0747 = 7.47%.

b) 0.8725 = 87.25%.

c) 0.1256 = 12.56%.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

The values of the parameters are:

n = 20, p = 0.6.

Item a:

The probability is P(X = 15), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 15) = C_{20,15}.(0.6)^{15}.(0.4)^{5} = 0.0747[/tex]

Item b:

The probability is:

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + \cdots + P(X = 20)[/tex]

Finding each value with the equation we used in item a, we have that:

[tex]P(X \geq 10) = 0.8725[/tex]

Item c:

At least 20 - 5 = 15 on the road, hence the probability is:

[tex]P(X \geq 15) = P(X = 15) + P(X = 16) + \cdots + P(X = 20)[/tex]

Then, using the same procedure as item b, we have that:

[tex]P(X \geq 15) = 0.1256[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

What is the slope of a line parallel to the line whose equation is3x−4y=8?


−43

−34

34

43

Answers

The slope of the parallel line is 3/4

How to determine the slope?

The equation is given as:

3x - 4y = 8

Rewrite as:

4y = 3x - 8

Divide through by 4

y = 3x/4 -  2

A linear equation is represented as:

y = mx + b

Where m represents the slope

By comparison:

m = 3/4

Parallel lines have equal slope

Hence, the slope of the parallel line is 3/4

Read more about slope at:

https://brainly.com/question/3493733

#SPJ1

Write 13.13.13.13.13 in exponential form?

Answers

13.13.13.13.13 in exponential form is 13^5

How to rewrite the expression?

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

Read more about exponential form at:

https://brainly.com/question/2456547

#SPJ1

Find the area of a rectangle with
side lengths of in. and in.
2|3
in.
415
in.
Simplify your answer completely.
in.2

Answers

Answer:

Area = length * width

= 4/5 * 2/3

= 8/15

Answer:

[tex]area = \frac{8}{15} {in}^{2} [/tex]

Step-by-step explanation:

The solution is in the attached file

1. Simplify (7y²)
(3y³)

Answers

Answer:

21 y power 5

Step-by-step explanation:

At a recent chess tournament, all 15 of the participants had to fill out a form that gave their names, address and age. The ages of the participants were recorded as follows: 36, 48, 54, 92, 57, 63, 66, 76, 66, 80, 82, 65, 39, 77, and 45. Use the data to construct a frequency table and histogram with 3 classes.(15 points) Classes Class Boundaries

Answers

The frequency table and histogram are shown in the attached picture.

What is a histogram?

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have:

The ages of the participants were recorded as follows:

36, 48, 54, 92, 57, 63, 66, 76, 66, 80, 82, 65, 39, 77, 45

The classes can be made:

30-42, 43-55, 56-68, 69-81, and 82-94

The histogram is shown in the picture.

Thus, the frequency table and histogram are shown in the attached picture.

Learn more about the histogram here:

brainly.com/question/16819077

#SPJ1

9. Find the value of the
underlined digit in the
following number.
739,485

Answers

Answer:

There's no underlined digit

Answer:

See below

Step-by-step explanation:

3 is in the 10 000 place    = 30 000

   ( just put zeroes in place of all of the following numbers)


Lenny bought x shares of stock for Sy per share last month. He paid
his broker a flat fee of $20. He sold the stock this month for Sp per
share, and paid his broker a 2% commission. Express Lenny's net
proceeds algebraically.

Answers

Lenny's net proceeds algebraically are found as;[tex]\rm |xy + 20 - \frac{98}{100} |[/tex]

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the bought share will be $ x, and $y is the price per share

Paid fees to the broker = $ 20

The total amount spent = $(xy+20)

The price at which each share sells = $ A

Broker commission = 2 %

The total amount obtained after selling the shares;

⇒ ax - 2% of ax

⇒ 98 % of ax

Hence, Lenny's net proceeds algebraically are found as;[tex]\rm |xy + 20 - \frac{98}{100} |[/tex]

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ1

Answer:

Step-by-step explanation:

what were Laura net proceeds

In one lottery game, contestants pick five numbers from 1 through 23 and have to match all five for the big prize (in any order). You'll get twice your money back if you match three out of five numbers. If you buy four tickets, what's the probability of matching three out of five numbers?

(Enter your answer as a fraction in lowest terms.)

Answers

The probability of matching three out of five numbers is 153/33649

How to determine the probability?

The numbers are given as:

1 to 23

There are five matching numbers

The  probability of getting a match is:

p = 5-k/n where k = 0, 1, 2

While the complement probability is

q = (n - 2)/n

Using the above formulas, the probability of getting from 5 is:

P = 5/23 * 4/22 * 3/21 * 18/20 * 17/19

Evaluate the product

P = 153/33649

Hence, the probability of matching three out of five numbers is 153/33649

Read more about probability at:

https://brainly.com/question/14290572

#SPJ1

Find the measure of ∠2.
72°
60°
36°
54°

Answers

Answer:

  (c)  36°

Step-by-step explanation:

We assume the pentagon is regular, so each central angle is congruent to the others. Each central angle is bisected by an apothem.

Angle 1

Angle 1 is one of 5 congruent central angles, so its measure is ...

  ∠1 = 360°/5 = 72°

Angle 2

Angle 2 is the result of one of the isosceles triangles having its central angle being bisected by an altitude. Its measure is half that of angle 1:

  ∠2 = 72°/2 = 36°

The measure of angle 2 is 36°.

Angle 3

Angle 3 is the other acute angle in the right triangle in which angle 2 is one of the acute angles. Its measure is ...

  ∠3 = 90° -∠2 = 90° -36° = 54°

what is the average rate of change if this function interval x = -3 to x = 0

Answers

The average rate of change of the function, over the given interval is 2.

This question is incomplete, the complete question is:

What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.

What is the average rate of change over the interval?

The average rate of change of f(x) over the interval [a,b] is expressed as;

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Given that;

f(x) = 2x + 10Interval: [ -3, 0 ], a = -3 and b = 0

We substitute our values into the expression above.

[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(0)-f(-3)}{0-(-3)}\\\\\frac{[2(0)+10]-[2(-3)+10]}{0-(-3)}\\\\\frac{[10]-[-6+10]}{3}\\\\\frac{[10]-[4]}{3}=\frac{6}{3}=2[/tex]

Therefore, the average rate of change of the function, over the given interval is 2.

Learn more about average rate of change: brainly.com/question/23715190

#SPJ1

32y+54x+56=y what is y

Answers

i think y= -54/36x -56/31

is this the kind of thing youre looking for?
explanation:

y is directly proportional to x and inversely proportional to the square of w. Give the equation:

Answers

Answer: y=kx/w^2

Step-by-step explanation:

y is directly proportional to x

y∝x        

y=kx

y inversely proportional to the square of w.

y ∝ (1/(w)^2)

y=k/w^2

y=kx/w^2


Which expression is equivalent to sin?
O sin-
sin
O sin 5
O sin 5
11


sin-


Answers

Answer: Option 4

Step-by-step explanation:

[tex]\sin \frac{7\pi}{6}=\sin \left(-\frac{\pi}{6} \right)=\sin \frac{11\pi}{6}[/tex]

Using equivalent angles, the equivalent expression to [tex]\sin{\left(\frac{7\pi}{6}\right)}[/tex] is:

[tex]\sin{\left(\frac{11\pi}{6}\right)}[/tex]

What are equivalent angles?

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, we have that [tex]\frac{7\pi}{6}[/tex] is on the third quadrant, as [tex]\pi < \frac{7\pi}{6} < \frac{3\pi}{2}[/tex]. Hence the equivalent angle on the first quadrant is:

[tex]\frac{7\pi}{6} - \pi = \frac{7\pi}{6} - \frac{6\pi}{6} = \frac{\pi}{6}[/tex]

The sine is negative on the third and fourth quadrants, hence the equivalent angle on the fourth quadrant is:

[tex]2\pi - \frac{\pi}{6} = \frac{11\pi}{6}[/tex]

Thus, the equivalent expression is:

[tex]\sin{\left(\frac{11\pi}{6}\right)}[/tex]

More can be learned about equivalent angles at https://brainly.com/question/24787111

#SPJ1

Factor the trinomial below.

x2 - 14x + 45

Answers

Answer:

(x-9) (x-5)

x = 9 x = 5

Step-by-step explanation:

find out which 2 numbers when multiplied give 45 and

when added give -14

they are -9 and -5

(x-9) (x-5)

x = 9 x = 5

Answer:

[tex]x_{1}=9, x_2=5[/tex]

Step-by-step explanation:

Recall a quadratic formula for quadratic equation [tex]ax^2+bx+c=0[/tex]: [tex]x_{1/2}=\frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

Notice the constant in the given equation [tex]x^2-14x+45[/tex]:

[tex]a=1, b=-14, c=45[/tex]

Substitute the values into the formula:

[tex]x_{1/2}=\frac{-(-14)\pm \sqrt{(-14)^2 -4\cdot 1\cdot 45}}{2\cdot 1}[/tex]

Calculate the values:

[tex]x_{1/2}=\frac{14\pm \sqrt{196 -180}}{2}=\frac{14\pm\sqrt{16}}{2}=\frac{14\pm 4}{2}[/tex]

It follows that there are two solutions:

[tex]x_1=\frac{14+4}{2}=\frac{18}{2}=9[/tex]   and   [tex]x_2=\frac{14-4}{2}=\frac{10}{2}=5[/tex].

2x+15
4x + 5
x = [?]
X
O

Answers

The correct answer is x=5

3 A bag contains red and blue marbles, such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. What is the probability that both of the marbles drawn are blue? a. b. $ 24% * 39% C. d 0 14% 3 A bag contains red and blue marbles , such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble , replacing it , and drawing another marble . The two draws are independent . What is the probability that both of the marbles drawn are blue ? a . b . $ 24 % * 39 % C. d 0 14 %​

Answers

Answer:

My answer: B

Step-by-step explanation:

The probability mass function of random variable X which represents the number of blue marbles drawn in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

The probability of drawing exactly one blue marble = 0.46875

Complete Question

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.

To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.

Probability of drawing a blue marble = P(B) = (3/8)

Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)

- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625

- Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)

= (3/8) × (3/8) = (9/64) = 0.140625

The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

b) Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

So, B is the answer.

If ∠ 1 = 26 o , find the measure of ∠ 4 .

Answers

The angle ∠4 of the given transversal shown in the diagram is gotten as; 26°.

How to find alternate angles?

The alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Now, we are told that ∠1 = 26° as seen in the attached diagram. However, it is clear that ∠2 is an alternate angle to ∠1. Thus, we can say that ∠2 = 26°.

Now, Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

From the diagram we see that ∠4 is a corresponding angle to ∠2. Thus;

∠4 = 26°.

Read more about Alternate Angles at; https://brainly.com/question/24839702

#SPJ1

System A
x−4y=1
5x+6y=−5

​System B
x=1+4y
5x+6y=−5

1) How can we get System B from System A?
CORRECT (SELECTED)
Replace one equation with itself where the same quantity is added to both sides

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
CORRECT (SELECTED)
Yes

Answers

1.  System B from System A by replacing one equation with itself where the same quantity is added to both sides

2. Yes, both system A and system B are equivalent and therefore has the same solution

How to prove the statements

System A

x − 4y= 1

5x + 6y= −5

System B

x = 1+4y

5x + 6y= −5

1. System B can be gotten from system A by

from the first equation of A

x − 4y= 1

Make 'x' subject of formula

x = 1 + 4y

This makes it equal to tat of system B

Thus, replacing one equation with itself where the same quantity is added to both sides

2. System A

x = 1 + 4y

5x + 6y= −5

System B

x = 1 + 4y

5x + 6y= −5

From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.

Learn more about linear equations here:

https://brainly.com/question/4074386

#SPJ1

Select one of the factors of 3x² + 4x - 4.
O (x + 4)
O (3x + 2)
O (3x - 2)
O(x - 2)

Answers

Answer:

(3x-2)

Step-by-step explanation:

3x² + 4x - 4

look for two factors whose product is (3)(-4)=-12 and sum is +4

The factors will be +6 and -2

substitute these factors inplace of 4x to get:

3x² - 2x + 6x - 4

then factorize:

x(3x-2)+2(3x-2)

finally we get factors: (3x-2)(x+2)

Evaluate a=5 and y= -7 for y-2a

Answers

Answer:  -17

Step-by-step explanation:

y - 2a

= -7 - 2(5)

= -7 - 10

= -17

Can someone please tell me the answer to this question?

Answers

Answer:

D) 12pm

Step-by-step explanation:

8 pm = 20:00

20:00 + 16:00*4 = 20:00 + 64:00 = 84:00

subtract the 24 hours in 84:00

84:00 - 3 X 24:00 = 12:00

12:00 = 12pm

Which rules define the function graphed below? (-2,2) (0,6) (4,6)

Answers

Answer:

y = 2x + 3; y = -1/3 x + 3

Step-by-step explanation:

Both lines have y-intercept 3.

The slopes are 2 and -1/3.

The equations are: y = 2x + 3; y = -1/3 x + 3

The function ()=2f(x)=x2is transformed to
()=0.4(+1)2f(x)=0.4(x+1)2
Which statement describes the effect(s) of the transformation on the graph of the original function?

The parabola is narrower and shifted 1 unit to the right.

The parabola is narrower and shifted 1 unit to the left.

The parabola is wider and shifted 1 unit to the right.

The parabola is wider and shifted 1 unit to the left.

Answers

Answer:

StepWhat is the measure of z? Z X y 4 9 z = [ ? ]VI-by-step explanation:

Find the slope of the straight line that passes through (–2, –4) and (3, –5).
A. m= -1/5
B. m = –1
C. m = 1/5
D. m = 1

Answers

Answer is A. m= -1/5
Step by step
To find slope, (y2-y1) over (x2-x1)
(-5)-(-4) over 3-(-2)
-1 over 5
m = -1/5

[tex]\large\boxed{\textsf{A.}\ m=-\frac{1}{5}}[/tex]

We can use the slope formula, where our points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

This is also known as "rise over run" because it represents the change in vertical ([tex]y[/tex]) position divided by the change in horizontal ([tex]x[/tex]) position.

Substitute the values from the points given:

[tex]\dfrac{(-5)-(-4)}{3-(-2)}[/tex]

Subtract:

[tex]\boxed{\dfrac{-1}{5}}[/tex]

The sum of two numbers is 32. One number is 3 times as large as the other. What are the numbers?

Answers

Answer: 8, 24

Step-by-step explanation:

Since the sum of two numbers is 32 and one number is 3 times as large as the other, the first number can be defined as x and the second number is 3x.

Divide 32 by (3+1) = 4 and you get 8, which is x.

The second number is 3(8) = 24.

A support cable for a 56-foot tower forms a 67° angle with the ground.
What is the length of the cable to the nearest foot?
56 ft.
61 ft.
60 ft.
75 ft.

Answers

The length to the nearest foot would be 60 ft.
So visualise a tower of 56ft and a cable with ground with angle of 67degree.

to find the length of the cable, you need to use trigonometry. So you have 56ft as the opp of 67degree and cable as hypotenuse of 67degree.

thus Sin(67)=OPP/HYP
=56/HYP
HYP=56/Sin(67)
=60.83618113
=61 ( nearest foot )

Therefore Ans: 61ft

To access his bank’s ATM, Tom must choose a four-digit PIN. Any digit from 0 through 9 can be used in the PIN, but digits may not be repeated. How many possible PIN numbers are there?

Answers

Answer:

Try using the permutations formulae - nPr

n = 10

r = 4

you should get the answer. I don't have calculator on me and I'm lazy searching an online calculator. cheers

Other Questions
which one of these numbers could form a triangle? A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant varies over its stretch. Take the length of the cord to be along the x-direction and define the stretch x as the length of the cord l minus its un-stretched length [tex]l_0[/tex]; that is, [tex]x=l-l_0[/tex] (see below). Suppose a particular bungee cord has a spring constant, for 0 x 4.88m , of [tex]k_1=204 N/m[/tex] and for x 4.88m , of [tex]k_2=111N/m[/tex]. (Recall that the spring constant is the slope of the force F(x) versus its stretch x.) (a) What is the tension in the cord when the stretch is 16.7 m (the maximum desired for a given jump)? (b) How much work must be done against the elastic force of the bungee cord to stretch it 16.7 m?please explain if possible! what is medicare ahip Chesnut mentions which of the following events in her diary? Check all that apply.EventThe troops occupying Fort Sumter died in the siege.Chesnut comforted friends and family after the war began.The Union ship, Harriet Lane, managed to resupply Fort Sumter.Chesnut's husband negotiated with the commander of Fort Sumter. A shipping box is shaped like a rectangular prisim with length of 20 inches,a width of 12 inches and a height of 5 inches . Draw a net of the box. Label its dimensions Which equation can be used to solve the problem? 10 is 50 percent of what number? StartFraction 10 divided by 1 Over 50 divided by 1 EndFraction = StartFraction 10 Over 50 EndFraction StartFraction 100 times 2 Over 50 times 2 EndFraction = StartFraction 200 Over 100 EndFraction StartFraction 10 divided by 2 Over 50 divided by 2 EndFraction = StartFraction 5 Over 25 EndFraction StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction Mark this and return What is the surface area of the composite figure? which expression is equivalent to 6 to the power of 4 x 6 to the 3rd power explain how adding soap to water affects the surface tension of water. Place the indicated product in the proper location on the grid (a+b)(a-2b) 51 Which of the following is the best estimate, in feet, for personal distance in Western cultures? Multiple Choice Oa) 0-1.5 b) 15-4 c) 5-8 d) 10-12c) 15-25 Please select the word from the list that best fits the definitionRepeating "Why to buy" to remember the rules of supply and demandRhymingKeywords Carole King has a long history in songwriting. How does Youve Got a Friend fit with her prior works? What role does the instrumentation play in interpreting this song? How does a personal work touch so many people? ociology of physical activity focuses on the shared _______ and social practices that constitute specific forms of physical activity (e.g., sport, exercise). The covert cia effort to overthrow the castro regime in the early 1960s was known by what codename?. The Fashion Shoe Company operates a chain of womens shoe shops that carry many styles of shoes that are all sold at the same price. Sales personnel in the shops are paid a sales commission on each pair of shoes sold plus a small base salary. The following data pertains to Shop 48 and is typical of the companys many outlets: Per Pair of Shoes Selling price $ 30.00 Variable expenses: Invoice cost $ 8.00 Sales commission 7.00 Total variable expenses $ 15.00 Annual Fixed expenses: Advertising $ 35,000 Rent 30,000 Salaries 145,000 Total fixed expenses $ 210,000 6. Refer to the original data. The company is considering eliminating sales commissions entirely in its shops and increasing fixed salaries by $38,600 annually. If this change is made, what will be Shop 48's new break-even point in unit sales and dollar sales? (Do not round intermediate calculations.) A helium-filled balloon has a volume of 10 000 L at 20C. Determine the volume of thegas at 25 C What does it mean to oncoming traffic sign? In driving The introduction of your speech should be written after the body of your speech. The introduction of your speech should be written after the body of your speech. True False A coin is flipped 15 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly four tails