Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.

Answer:

Step-by-step explanation:

opposite angles = equal angles

so

106 = 6s - 8

114 = 6s

s = 114 : 6

s = 19°

--------------- check

106 = 6 * 19 - 8

106 = 106

the answer is good

Answer:

321.25 per year

Step-by-step explanation:

In 2004 they had 5,545

In 2008 they had 6,830

Subtract them both and you get 4 years, 1285 people

Divide 1285 by 4 and get 321.25 per year.

Answer:

i think its a and d

Step-by-step explanation:

Answer:

D şıkkı iyi dersler hadi

Answer:

C: [tex](2x+5)(4x^2-10x+25)[/tex]

Step-by-step explanation:

First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].

Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]

Or you commit the two formulas to memory.

Answer:

Step-by-step explanation:

amount of decrease is $15 - $10 = $5

as a percentage of the original price

100($5/$15) = 33⅓ %

Step-by-step explanation:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Answer:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Step-by-step explanation:

Answer:

C - qd

Step-by-step explanation:

qid means four times a day

tid means three times a day

qd means every other day (answer)

qod also means every other day (but since it's not recommended to use this notation, the answer should be qd)

Answer:

C. qd

Step-by-step explanation:

qd stands for quaque die in latin. translated to english it means every day.

Answer:

$87.50

Step-by-step explanation:

Answer:

Option 4:  A ║B

Step-by-step explanation:

Given the following statements:

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]

We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.  

In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]  and  [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Therefore, lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex].  Hence, by the Lines Perpendicular to a Transversal Theorem,  [tex]\displaystyle\mathsf{\overline{A}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

If we take points [tex](1,1)[/tex] and [tex](4,0)[/tex] from the line, we can determine the slope:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{4-1}=\frac{-1}{3}=-\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex]

Answer:

D. [tex]-5 \frac{5}{6}[/tex]

Step-by-step explanation:

Add the values:

[tex]-3\frac{2}{3}+\left(-2\right)\frac{1}{6}[/tex]

[tex]=-\frac{11}{3}+\left(-2\right)\frac{1}{6}[/tex]

[tex]=-\frac{11}{3}-\frac{1}{3}[/tex]

[tex]-5 \frac{5}{6}[/tex]

Answer:

C. - 1 ½

Step-by-step explanation:

-3⅔ - x = - 2⅙

x = -3⅔ + 2⅙

x = -11/3 + 13/6

x = -22/6 + 13/6

x = -9/6

x = -1 ½

Answer:

31%

Step-by-step explanation:

hope this helps

Answer:

0.18 i think

Step-by-step explanation:

Answer:

Ariana can move 24 boxes. Hope this helps.

Pls give brainliest. :D

Answer:

c

Step-by-step explanation:

it just is that's the right book

It is 4pi/7, or b. Just want to help ;)

Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

Answer:

(-5n)-2=26-2n

Step-by-step explanation:

i think -9 1/3

well, let's say that number is "a", so it's opposite will just be "-a".

what's that number times -5?

-5*a => -5a

let's reduce that by 2

-5a -2

what would it be twice the opposite of it?

2(-a)

what is it 26 less than that?

2(-a) - 26.

[tex]-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}[/tex]

Answer:

Step-by-step explanation:

2S₅ - S₅ = 2⁵ - 2⁰

        S₅ = 2⁵ - 1

Sₙ = (bᵃ - 1) / (b - 1)

Answer:

Step-by-step explanation:

Answer:

B: 15 quarters

Step-by-step explanation:

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $7.25 where d = dimes and q = quarters

Coin Total Equation → d + q = 50

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 50 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(50 - q) + 0.25q = $7.25

0.1(50) - 0.1(q) + 0.25q = $7.25

5 - 0.1q + 0.25q = $7.25

5 + (0.25 - 0.1)q = $7.25

5 + 0.15q = $7.25

Step 4: Subtract 5 from each side of the equation to isolate q

5 - 5 + 0.15q = $7.25 - 5

0.15q = 2.25

Step 5: Divide each side of the equation by 0.15 to isolate q

0.15q

0.15

=

2.25

0.15

q = 15

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 15 = 50

Subtracting 15 from both sides, we get d + 15 - 15 = 50 - 15

d = 35

Summarizing our word problem, we see that 15 quarters and 35 dimes adds up to $7.25

Answer:

Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .

Step-by-step explanation:

Answer:

D. -2x^3 - 14x^2 + 22x

Step-by-step explanation:

1) Remove parentheses.

3x³ - 10x² + 13x - 5x³ - 4x² + 9x

2) Collect like terms.

(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)

3) Simplify.

-2x³ - 14x² + 22x

The value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]

Given the exponential function [tex]e^{3x+8}=8[/tex]

Take the natural logarithm of both sides:

[tex]lne^{3x+8}=ln8\\3x +8=ln8[/tex]

Subtract 8 from both sides:

[tex]3x-8+8=ln8-8\\3x=ln8-8[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3} =\frac{ln8-8}{3}\\x= \frac{ln8-8}{3}[/tex]

Hence the value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]

Learn more on exponential functions here: https://brainly.com/question/12940982

Answer:

  g(x) = 4x² -x +64

Step-by-step explanation:

The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.

For some constant c1, the integral in the region x ≤ 4 is ...

  ∫f(x)dx = (4x² -x +c1) +C = g(x) +C

The integral in the region x ≥ 4 is given as ...

  ∫f(x)dx = 31x +C

Evaluated at x=4, we must get the same value from either expression:

  4(4²) -4 +c1 +C = 31(4) +C

  60 +c1 = 124

  c1 = 64

__

In order to make the integral continuous at x=4, we must have ...

  g(x) = 4x² -x +64

Answer:

415 and 29

Step-by-step explanation:

x = 14y+9

xy = 12035

(14y+9)y = 12035

y = -415/14 and 29 but it's a positive integer

so y = 29

x = 14(29)+9

x = 415

There is 95mg of vitamins in the drink

If a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.

The amount of milligrams of the vitamins in the drink is expressed as shown:

A = 190 % of 50mg

A = 1.9 * 50

A = 95mg

Hence there is 95mg of vitamins in the drink

Learn more on percentages https://brainly.com/question/25793394

Answer:

There is 95mg of vitamins in the drink

Answer:

  -3+ √3 or -3- √3

Step-by-step explanation:

Answer:

[tex]3^{30}[/tex]

Step-by-step explanation:

      When you are raising an exponent to another power, you multiply the exponents together:

[tex]3^{30}[/tex]

-> Hopefully this is correct, unfortunately the picture is quite blurry

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather