Evaluate u + xy, for u = 20, x = 5, and y = 7.

Answer:

[tex]\frac{1}{324632}[/tex] probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Desired outcomes:

The correct five numbers from a set of 5. So

[tex]D = C_{5,5} = \frac{5!}{5!0!} = 1[/tex]

Total outcomes:

Five numbers from a set of 35. So

[tex]T = C_{35,5} = \frac{35!}{5!30!} = 324632[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{324632}[/tex]

[tex]\frac{1}{324632}[/tex] probability of picking the winning combination

Answer:

3.316

Step-by-step explanation:

Answer:

i don't know if it is correct or not, sorry if i were mistaken

The value of x and y for the given system of equations is 1 and 6 respectively.

A system of equations is a collection of two or more equations with a same set of unknown variables.

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

The substitution method is a method to solve simultaneous linear equations. In which the value of one variable from one equation is substituted in the other equation.

According to the given question

we have a system of equations

[tex]6x + 3y = 24..(i)[/tex]

and, [tex]3x -4y = -21..(ii)[/tex]

From equation (i)

[tex]6x + 3y = 24[/tex]

⇒ [tex]2x + y = 8[/tex]

⇒ [tex]y = 8-2x[/tex]

Substitute the value of y in equation (ii)

⇒[tex]3x - 4(8-2x)=-21[/tex]

⇒[tex]3x-32+8x =-21[/tex]

⇒[tex]11x = 32-21[/tex]

⇒[tex]11x = 11[/tex]

⇒ [tex]x =1[/tex]

Substitute, x = 1 in either the equations (i) and (ii)

⇒[tex]3(1)-4y =-21[/tex]

⇒[tex]3 -4y=-21[/tex]

⇒[tex]-4y = -21-3[/tex]

⇒-4y = -24

⇒[tex]y =6[/tex]

Hence, the value of x and y for the given system of equations is 1 and 6 respectively.

Learn more about the substitution method here:

https://brainly.com/question/14619835

#SPJ2

Answer:

15

Step-by-step explanation:

just calculate backwards

20 -2 -3

Answer:

The answer would be 15.

Step-by-step explanation:

I agree with the previous answer, in these cases you just calculate backward.

You start out with 20, then it states 2017 team won 2 more games, so you subtract 2. So now we know the 2016 team won 18 games.

Next we subtract 3 to get how many wins the 2015 team got. 18 - 3 is 15.

The answer would be 15.

Answer:

ASA

Step-by-step explanation:

..................

To prove ABC = ADC, We use ASA triangle postulate.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.

From the given diagram a quadrilateral ABCD is given,

Line segment AC divides quadrilateral ABCD into two triangles namely

ABC and ADC, and both have a common side AC.

m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.

Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ7

Answer:

B: x≤5

Step-by-step explanation:

Hi there!

We're given two inequalities; 3x−8≤23  and −4x+26≥6

We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)

First, let's solve for x in both of them

taking the first inequality:

3x−8≤23  

add 8 to both sides

3x≤31

divide by 3

x≤31/3

now solve for x in −4x+26≥6

subtract 26 from both sides

-4x≥-20

divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number

x≤5

now let's graph these two inequalities to find the intersection, and that is below with the answer

Hope this helps! :)

Answer:

4n+5=30

Step-by-step explanation:

Answer:

[tex] \large{ \tt{❃ \: STEP-BY-STEP \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: ORIGINAL \: PROBLEM : 12x + 2 = 26}}[/tex]

[tex] \large{ \tt{↦ \: 12x + 2 - 2 = 26 - 2}}[/tex]

[tex] \large{ \tt{↦ \:12x = 24}}[/tex]

[tex] \large{ \tt{ ↦ \: \frac{12x}{12} = \frac{24}{12}}} [/tex]

[tex] \boxed{ \boxed{ \large{ \tt{↦x = 2}}}} \large✓[/tex]

✺ Don't stress yourself for the day you've done nothing instead focus on the remaining change you have left and work on it. ♪

ツ Hope I helped ! ۵

☼Have a wonderful day / night ! ☃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

9514 1404 393

Answer:

  211

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211

Answer:

211

Step-by-step explanation:

given : b = 38 and c = 8

Evaluate :

= b/2 + 3c²

= 38 / 2 + 3 ( 8 )²

= 19 + 3 × 64

= 19 + 192

= 211

Answer:

She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).

Step-by-step explanation:

She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).

Answer:

216 square feet

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

w= width

h= height

l= length

Use the formula with the given dimensions:

2 (6 • 2 + 12 • 6 + 12 • 2)

= 2 (12 + 72 + 24)

= 2 (108)

= 216

Surface area is measured in square feet

(feet in this case)

Hope this helps

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

2) Solve for one of the integer

Isolate x in the first equation

[tex]x+y=33\\x=33-y[/tex]

Plug the first equation into the second

[tex]33-y=6+2y[/tex]

Combine like terms

[tex]33-6=2y+y\\27=3y\\9=y[/tex]

Therefore, the smaller integer is 9.

3) Solve for the other integer

[tex]x+y=33[/tex]

Plug in y (9)

[tex]x+9=33\\x=33-9\\x=24[/tex]

Therefore, the larger integer is 24.

I hope this helps!

Answer:

31 trees per acre will maximize the harvest

Step-by-step explanation:

Given

[tex]Plant \to 55[/tex] trees/acre

[tex]Yield \to 25[/tex] bushels

[tex]x \to trees[/tex]

Required

Number of trees to maximize harvest

From the question, we understand that:

Yield will decrease by 4 i.e. 25 - 4x

For every additional tree planted, i.e. 55 + x

So, the function is:

[tex]F(x) = (25- 4x)*(55+x)[/tex]

Open bracket

[tex]F(x) = 25 * 55 -4x * 55 + 25 * x -4x*x[/tex]

[tex]F(x) = 1375 - 220x + 25x -4x^2[/tex]

[tex]F(x) = 1375 -195x -4x^2[/tex]

Rewrite as:

[tex]F(x) = -4x^2 -195x +1375[/tex]

The maximum of a quadratic function is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

In the above equation:

[tex]a = -4; b =-195; c = 1375[/tex]

So:

[tex]x = -\frac{-195}{2 * -4}[/tex]

[tex]x = -\frac{195}{8}[/tex]

[tex]x = -24.375[/tex]

Recall that the number of trees to be planted is: 55 + x

So, we have:

[tex]Trees = 55+x[/tex]

[tex]Trees = 55-24.375[/tex]

[tex]Trees = 30.625[/tex]

Approximate

[tex]Trees = 31[/tex]

Answer:

The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of a normal variable:

For the sum of a sample of n values, the mean is of [tex]M = n\mu[/tex] and the standard deviation is of [tex]s = \sigma\sqrt{n}[/tex]

Average 2.8 minutes

This means that [tex]\mu = 2.8[/tex]

75 calls each day.

This means that [tex]n = 75[/tex]

What is the expected total amount of time in minutes the operator will spend on the calls each day?

[tex]M = n\mu = 75(2.8) = 210[/tex]

The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

Step-by-step explanation:

[tex]10 - 5 \frac{2}{3} \\ = 10 - \frac{17}{3} \\ = \frac{10 \times 3}{1 \times 3} - \frac{17}{3} \\ = \frac{30 - 17}{3} \\ = \frac{13}{3} \\ = 4 \frac{1}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

2(2w) + 2(w) = 390

6w = 390

w = 65

2w or l = 130 feet

Answer:

Step-by-step explanation:

82

Answer:

Step-by-step explanation:

.5(half) x 14(base) x 16(height)=112cm

Answer:

D) 5

Step-by-step explanation:

Answer:

The sample space of answering a true or false question is  "sample set = true, false"

Step-by-step explanation:

Sample Space is defined as the set of all possible outcomes in a given probability experiment. For example, the sample space of tossing one coin is head, tail.

Source: study.com/academy/answer/identify-the-sample-space-of-the-probability-experiment-answering-a-true-or-false-question.html

9514 1404 393

Answer:

  x = 142

Step-by-step explanation:

You want to find x such that ...

  [tex]\sqrt{x+2} -15=-3\qquad\text{given}\\\\\sqrt{x+2} =12\qquad\text{add 15}\\\\x+2=144\qquad\text{square both sides}\\\\\boxed{x=142}\qquad\text{subtract 2 to get x by itself}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

The magnitude of the resultant force is:

[tex]R=100.3 \:pound[/tex]

The direction is:

[tex]\theta=1.2^{\circ}[/tex]

Step-by-step explanation:

Let's find the components of each vector is x and y-directions first.

Sum of x-component vector forces.

[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]

[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]

[tex]F_{tot-x}=100.3 \: pound[/tex]

Sum of y-component vector forces.

[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]

[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]

[tex]F_{tot-y}=2.1 \: pound[/tex]  

The magnitude of the resultant force is:

[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]

[tex]R=100.3 \:pound[/tex]

The direction is:

[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]

[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]

[tex]\theta=1.2^{\circ}[/tex]

I hope it helps you!

Answer:

E

Step-by-step explanation:

Beans: 2 possibilities

Meat: 3 possibilities

Vegetables: 4 posibilities

Toppings: 4 possibilities

Then mulltiply the numbers:

2 x 3 x 4 x 4 which equals 96

Answer:

(0, -5)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the systems of equations graph, we see both lines intersect at (0, -5). Where the 2 lines intersect is the solution to the systems.

∴ our answer is (0, -5)

Answer:

7.  Not enough information to determine congruency

8.congreunt by AAS

Step-by-step explanation:

7.  We know one side and the vertical angles between the triangles.  That is not enough to determine the triangles are congruent

8.  We know one angle and one side are congruent.  The angle between are vertical angles and they are congruent.    We know two angles and one side, so they are congruent by AAS

Answer:

The answer is "Categorical and Ordinal scale"

Step-by-step explanation:

Categorical factors affect data types that can be grouped. This analysis is the examination of data in which the answer variables are grouped in a series of reciprocal classifications, like the age group or even the unordered groups of eye colors.

An ordinal chart is a form of the category with such a specific order or scale. It is the 2nd assessment level that provides the ordering and order of data, without really measure the extent of variability. The first of the four measuring scales is the ordinal scale of listening.

Answer:

0

Step-by-step explanation:

When you substitute x=1 for f(1),

you get f(1)=0

and the absolute value of 0 is 0.

hope I answered it correct.

please give brainliest, thanks!

heres a key for then

SIN= O/H

COS= A/H

TAN= O/A

CSC= H/O

SEC= H/A

COT= A/O

let me know if u have anymore questions

Answer:

3/5 is ur answer

Step-by-step explanation:

ok so its SIN

SIN is o/h (o= opposite and h= hypotenuse)

so we can look at the picture and it says find the SIN of a

ok so the O would be 3 and the H would be 5

so ur answer would be 3/5

Answer:

259.2 cm³

Step-by-step explanation:

The volume of the dilated image is

(3/5)³ × 1200= 27/125 × 1200

= 259.2 cm³

Answer:

19.714

Step-by-step explanation:

Given :

Yearly Tuition Frequency

12-16 5

17-21 4

22-26 3

27-31 2

We calculate the midpoint (x) = (lower + upper) / 2

The mean yearly tuition :

The midpoint (x) :

X ___ F ___ Fx

14 __ 5

19 __ 4

24 __ 3

29 __ 2

The mean = Σfx / Σf

Σfx / Σf = (14*5 + 19*4 + 24*3 + 29*2) / (5+4+3+2)

Mean = 276 / 14

Mean yearly tuition = 19.714