In a study of 82 Halo game players, it was found that the ages of these players were normally distributed, with a mean age of 17 years and a standard deviation of 3 years. Find the z score for a 21 year old.

A.) 2
B.) -2
C.) -1.33
D.) 1.33

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

Answer:

4

Step-by-step explanation:

Answer:

the APY on this credit card is 15.56%

Step-by-step explanation:

The computation of the APY is as followS:

The nominal monthly rate is

= 0.1455 ÷ 12

= 0.012125

Now

real annual rate= [(1 + Nominal monthly rate)^number of months] - 1

= [(1.0.12125^12) - 1]

= 15.56%

Hence, the APY on this credit card is 15.56%

The same is considered by applying the given formula

Answer:

T < - 4

Step-by-step explanation:

Answer:

t<-4

Step-by-step explanation:

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Answer:

32°

Step-by-step explanation:

sin 75° =  x  

    22         12

0.965925 =  x  

      22           12

22x = 11.5911

x = 0.526

[tex]sin^{-1}[/tex] (.526) = 31.7

Answer:

31.8

Step-by-step explanation:

Step-by-step explanation:

b2 =5

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

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

Answer:

Larger number: 29.5

Smaller number: 25.5

Answer:

y+7 = 1/7(x+3)

Step-by-step explanation:

Point slope form of a line is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

(y -  -7) = 1/7(x - -3)

y+7 = 1/7(x+3)

Answer:

m=5

Step-by-step explanation:

2x+10y=20

10y=-2x+20

y=-1/5x+2

slope of this line=-1/5

(replace the denominator by the nominator and the nominator by the denominator and change the sign to the opposite one negative to positive)

slope of perpendicular line=5

Answer:

where is the question though

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

21 6

7 2

14 4

Step-by-step explanation:

not sure |•-•|

Answer:

216*64/8=1728....

Step-by-step explanation:

12³ is the appropriate answer

Answer:

A real solution in algebra is simply a solution to an equation that is a real number.

for example

If y>0, then x2 = y has two real solution or roots. x = ±√y

If y=0, then x2 = y has one real solution.

Answer:

no

Step-by-step explanation:

It would be like 0.(something) meaning it would be more than 0

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer:

24 cm square

Step-by-step explanation:

Formula: ab/2. ( a* b = leg * leg)

6*8/2. (formula)

48/2 (simplify)

24 cm square ( answer)

Accuracy not garunteed

Answer:

C. The relationship between the quantities is: add 25.

Step-by-step explanation:

1x = 25y,

2x = 25 + 25 = 50y

3x = 50 + 25 = 75y

4x = 75 + 25 = 100y

Note:

As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).

Answer:

It is C  

Step-by-step explanation:  

Move all terms that don't contain x to the right side and solve.

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

[tex]6=\frac{m}{8}\\x=48[/tex]

Answer:

a c d f

Step-by-step explanation:

Answer:

its (c) and (d)

Step-by-step explanation: