a pair of integers whose sum is -12​

Answer:

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Step-by-step explanation:

This question is solved treating these probabilities as Venn events.

I am going to say that:

Event A: Person invests in stocks.

Event B: Person invests in bonds.

65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks

This means that [tex]P(A) = 0.65[/tex]

38% end up investing in bonds

This means that [tex]P(B) = 0.38[/tex]

36% end up investing in both stocks and bonds.

This means that [tex]P(A \cap B) = 0.36[/tex]

What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

This is [tex]P(A \cup B)[/tex], given by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Considering the values we have for this problem:

[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Answer:

[tex]2^{\frac{1}{6} }[/tex]

Step-by-step explanation:

(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6

Step-by-step explanation:

+ Both equations

You will get : 5x=13 ; x=13/5

and put x to the first equation

2*13/5-y=4

y=6/5

(13/5;6/5)

Answer is C

Answer:

(x+2,y-4)

Step-by-step explanation:

The correct answer is (x+2, y-4)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point either up, left, right or down.

ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

Find out more on transformation at: https://brainly.com/question/1548871

Notice that

(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9

… = sin²(θ) + cos²(θ)

… = 1

Solve for y in terms of x :

(x - 1)²/4 + (y + 2)²/9 = 1

(y + 2)²/9 = 1 - (x - 1)²/4

(y + 2)² = 9 - 9/4 (x - 1)²

y + 2 = ± √(9 - 9/4 (x - 1)²)

y + 2 = ± 3/2 √(4 - (x - 1)²)

y = -2 ± 3/2 √(4 - (x - 1)²)

In order for the square root to be defined, one needs

4 - (x - 1)² ≥ 0

(x - 1)² ≤ 4

-2 ≤ x - 1 ≤ 2

-1 ≤ x ≤ 3

so x must belong to the interval [-1, 3].

Answer:

Substitute in the y-value to the equation:

[tex]3x-y=18\\\\3x-27=18\\\\3x=18+27\\\\3x=45\\\\x=15[/tex]

Therefore, the value of x is 15.

Answer:

x=15

Step-by-step explanation:

3x - y = 18

Let y= 27

3x - 27 = 18

Add 27 to each side

3x-27+27 = 18+27

3x= 45

Divide each side by 3

3x/3 = 45/3

x = 15

Answer:

Step-by-step explanation:

[tex] \sqrt[3]{64} [/tex]

[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]

= 4 (Ans)

Answer:

Step-by-step explanation:

Answer:

(0+a)/2 , (0+a)/2

= (a/2, a/2)

Answered by GAUTHMATH

Answer:

Letter A is your answer

Step-by-step explanation:

mark me brainliest

Answer:

9/8 = n

Step-by-step explanation:

9 = 8n

Divide each side by 8

9/8 = 8n/8

9/8 = n

Answer:

0.583

Step-by-step explanation:

Use a caluclator

Answer:

WO [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]

OR [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]

RM [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]

MW [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]

Step-by-step explanation:

One has to find the slope, and the distance between the successive points on the plane. Use the slope and distance formula to achieve this.

Slope formula:

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

Distance formula:

[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Remember, the general format for the coordinates of a point on a Cartesian coordinate plane is the following:

[tex](x,y)[/tex]

1. WO

Coordinates of point (W): (3, -5)

Coordinates of point (O): (6, -3)

Find the slope:

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

[tex]\frac{(-5)-(-3)}{(3)-(6)}=\frac{-5+3}{3-6}=\frac{-2}{-3}=\frac{2}{3}[/tex]

Find the distance:

[tex]\sqrt{((-5)-(-3))^2+((3)-(6))^2}[/tex]

[tex]\sqrt{(-2)^2+(-3)^2}\\=\sqrt{4+9}\\=\sqrt{13}\\[/tex]

2. OR

Coordinates of point (O): (6, -3)

Coordinates of point (R): (4, 0)

Find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-3)}{(4)-(6)}=\frac{3}{-2}=-\frac{3}{2}[/tex]

Find the distance:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{((0)-(-3))^2+((4)-(6))^2}=\sqrt{(3)^2+(2)^2}=\sqrt{9+4}=\sqrt{13}[/tex]

3. RM

Coordinates of point (R): (4, 0)

Coordinates of point (M): (1, -2)

Find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-2)}{(4)-(1)}=\frac{2}{3}[/tex]

Find the distance:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{((-2)-(0))^2+((1)-(4))^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]

4. MW

Coordinates of point (M): (1, -2)

Coordinates of point (W): (3, -5)

Find the slope:

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

[tex]=\frac{(-5)-(-2)}{(3)-(1)}=\frac{-3}{2}=-\frac{3}{2}[/tex]

Find the distance:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]=\sqrt{((3)-(1))^2+((-5)-(-2))^2}=\sqrt{(2)^2+(3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]

Answer:

[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]

Step-by-step explanation:

[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]

Answer:

30.7

Step-by-step explanation:

Recall: SOH CAH TOA

We are to solve for the missing side

First, label the sides:

Reference angle (θ) = 61°

x = Opposite (this is opposite to the reference angle)

17 = Adjacent

Hypotenuse = side opposite to right angle

Apply TOA, which is:

Tan θ = Opp/Adj

Plug in the values

Tan 61° = x/17

17*Tan 61° = x

30.6688118 = x

x ≈ 30.7 (approximated to nearest tenth)

Answer:

1. irrational (it's pi. pi goes on forever.)

2. irrational (the ... shows that the number goes on forever.)

3. rational (it is a regular integer)

4. rational (it would be negative 3, an integer.)

5. real, irrational (square root 6 goes on forever, like every non-perfect square root)

6. real, rational, integer, natural, whole (regular counting number)

7. real, rational, integer, natural, whole (regular counting number, 4)

8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)

brainliest is very much appreciated!

Answer:

28.4 degrees

Step-by-step explanation:

sin(theta) = 20/42. theta=arcsin(10/21)=28.43

Answer:

C

Step-by-step explanation:

Given

10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides

30x + 20 > 14x - 28 ( subtract 14x from both sides )

16x + 20 > - 28 ( subtract 20 from both sides )

16x > - 48 ( divide both sides by 16 )

x > - 3 → C

Answer:

answer is 3500.

answer is 3500

answer is 3500

Answer:

Property : a^-b = 1/a^b

Using this property, we can rewrite the expression using positive exponents :

[tex]1. \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8} } =\frac{1}{a^{13} }[/tex]

Answer:

x = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so

x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )

x = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{3}[/tex] = 6[tex]\sqrt{3}[/tex]

The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.

It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.

A UPC can be validated with a manual calculation:

Given :

UPC = 3-25866-53590-5/0

=> Step 1: Add the digits at odd positions.

3 + 5 + 6 +5 + 5 + 0 = 24

=> Step 2: Multiply the number obtained in steps 1 by 3.

24*3 = 72

=> Step 3: The digits at even positions have to be added except check digit

2 + 8 + 6 +3 +9 = 28

=> Step 4: Add the numbers obtained in Step 2 and step 3.

72+ 28 = 100

=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.

Here 100 will be subtracted from 110.

110 - 100 = 10

the last digit will be 0,

Thus, the correct option is B. 3-25866-53590-0.

Learn more about:

https://brainly.com/question/12538564

Answer: 30 cm2

Step-by-step explanation:

branliest please

Answer:

30 cm^2

Step-by-step explanation:

The surface area of a rectangular prism is given by the formula:

2 (lw + hw + hl)

Substitute the fomrula with the given dimensions:

2 ([3 x 1] + [3 x 1] + [3 x 3])

= 2 (3 + 3 + 9)

= 2 (15)

= 30

Hope this helps!

Answer:

x=60°

Does the answer help you?

Answer:

x=60°

Step-by-step explanation:

Hi there!

We are given that <ABD and <DBC are complementary angles.

If two angles are complementary, it means that they add up to 90 degrees.

In that case, <ABD + <DBC=90°.

We're also given that m<ABD=30° and m<DBC=x.

Substituting those values into the equation will give us:

30°+x=90°.

Subtract 30° from both sides.

x=60°.

Hope this helps!

Step-by-step explanation:

The answer is mentioned above.

Hope it helps.

Answer:

[tex](2x-3)^{3}[/tex]

Step-by-step explanation:

2x * 2x * 2x would get the 8x^3

the -3 * -3 * -3  would get the -27

if you do all the other multiplications -36x^2 and 54 X would result

Answer:

13/50

Step-by-step explanation:

Answer:

26/100

Method:

Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)

Answer:

Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7

I hope I helped you^_^

Answer:

Easy explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]