What is 86 + (-32) ?

Answer:

(x+2)² - 11

Step-by-step explanation:

Regroup terms

x² + 4x - 7

(x² + 4x) - 7

Complete the square

 coefficient of x term: 4

 divide coefficient in half: 2

 square it: 2²

 use 2² to complete the square:

(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11

Answer:

a) the required percentage is 32.64%

b) the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Step-by-step explanation:

Given that;

mean μ = 14.7 %

standard deviation σ =33%

a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?

P( portfolio lose money )

= P( x< 0) P( 0-14.7 / 33 )

P( Z < -0.45 ) =  0.3264 ≈ 32.64%

Therefore, the required percentage is 32.64%

b)

the cutoff for the highest 15% of annual returns with this portfolio will be:

P( X ≥ x) = 15%

1 - P(X ≤ x) = 0.15

P(X ≤ x) = 0.85

P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1

form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2

from the equations;

(x-14.7 / 13 ) = 1.04

33 × 1.04 = x-14.7

34.32 = x-14.7

x = 34.32 + 14.7

x = 49.02%

Therefore, the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Answer:

A

Step-by-step explanation:

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

$7 a pound

Step-by-step explanation

$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7

Answer:

The answer is (-8/5,32) in point form or x=-8/5,y=32

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

C

Step-by-step explanation:

To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.

Next, divide by 32 to find how many sections of 23 people there are.

292500 / 32 =  9140.625

Lastly, multiply by 23 to find how many people can stand in the area.

9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people

Answer:

147

Step-by-step explanation:

Answer:

405 calories

Step-by-step explanation:

All we have to do is:

9 × 45

I hope this helps!

Answer:

y = 4x + 5

Step-by-step explanation:

3y - 12x = 15

Add 12x to both sides.

3y = 12x + 15

Divide by 3 to isolate y.

y = 4x + 5

Answer:

ACTUALLY IT'S, y=4x-5

Step-by-step explanation:

12x-3y=15                          - Get y alone

-12x   =12x                          

-3y=-12x+15

-3y=-12x+15     - Divide.            

__________

-3           -3

y=12/3x-15/3                  -  Distribute division. Negative over a negative is positive. Positive over a negative is a negative.

y=4x-5     - Reduce fractions.

Answer:

75,600 m/h (21 m/s, 0.02 km/h)

Step-by-step explanation:

Hey there!

The answer to your question is [tex]21 mps[/tex]

To find the rate of speed, we have to find the meters per second, or mps. The formula for this is  [tex]\frac{distance}{time} = speed[/tex]. So:

[tex]\frac{63}{3} = s[/tex]

[tex]21 = s[/tex]

This means that the speed is 21 meters per second, or 21 mps.

Hope it helps and have an amazing day!

Answer: Bianca is right.

Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]

Answer:

1.718333

0.114957

12

1 3 5 7

Step-by-step explanation:

Given the following height values :

Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85

1.) Assign all height values to a vector height :

R code:

height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)

2.) To compute the mean and standard deviation of "height"

R code for mean height:

mean(height)

R code for height standard deviation :

sd(height)

3.) The length of "height" ; This gives the number of data values in the vector variable "height"

R_code for length:

length(height)

4.) Number of heights less than 1.65

R_code :

which(height < 1.65)

Gives the index values where height values is less than 1.65

5.) Show if each height is larger than 1.6 and less Than 1.75

R_code :

1.6 < height < 1.75

Answer:

8*g = 8g

then,

7/8g

17 is the answer

h0pe this helped :>

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

Answer:

0.1416

Step-by-step explanation:

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.

The probability in a random sample of 32 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]

P-value from Z-Table:

P(x<32) =

The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.

The probability in a random sample of 36 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]

P-value from Z-Table:

P(x<36) = 0.0086945

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be

[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

12 hours and 50 minutes

Step-by-step explanation:

You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins

Answer:

7 hours, 40 min

Step-by-step explanation:

4 minutes is 1/15 of an hour

115 x 1/15 = 7 2/3

Answer:

Step-by-step explanation:

7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply

7/8 * 2 = 14/8 = 1 3/4 <==

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

Answer:

Subsitute (nothing hard)

5-7(9*9-3*3)

Combine

5-7(72)

Distibute left to right

-7*72= -504

5-504

-499

Answer:

x = 7.5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 2x from both sides of the equation:

10x (-2x) = 2x (-2x) + 60

10x - 2x = 60

8x = 60

Next, isolate the variable, x. Divide 8 from both sides of the equation:

(8x)/8 = (60)/8

x = 60/8

x = 7.5

x = 7.5 is your answer.

~

Answer:

The inequality x+y<1 should look like the graph attached.

It should be a dashed line, not a solid line.

Answer:

The second one you click to switch it

Step-by-step explanation:

Just did the quiz just going by every question and giving answers

Answer:

the x intercept is -3

or (-3,0)

Step-by-step explanation:

the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.

Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.

0=1/3x+1

subtract 1 from both sides

-1=1/3x

multiply by 3

-3=x

Therefore the x intercept is -3.

As a point is (-3,0)

hope this helps!

Answer: x= 3π/2

Hope this helps.... Stay safe and have a great rest of the weekend!!! :D

Answer: $75

Step-by-step explanation: If interest earned on an account in 2 years is $15, then after 10 years, the interest would be $75.

We can know this because, if we divide $15 by 2, we get the amount of interest the account makes in 1 year.

15/2 = $7.50. The account makes $7.50 interest pear year.

We want to know how much interest the account will make in 10 years, simply multiply 7.50 by 10.

$7.50 x 10 = $75 in 10 years.