The mean grade on the statistics exam is M=82, the standard deviation is G=12. What actual grade has a Z score of z= -1.5

Answers

Answer 1

Answer:

64

Step-by-step explanation:

-1.5 = (X - 82)12

-18 = X-82

X = 64


Related Questions

6. Solve for x!! please help!

Answers

x/2 = -7

=> x = -7 × 2

=> x = -14

Answer:

x=-14

Step-by-step explanation:

[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]

Can someone find this for me please?

Answers

Answer:

the larger one is 183

Step-by-step explanation:

[tex]x + y = 262 \\ x - y = 104 \\ y = 262 - x \\ x - (262 - x) = 104 \\ x - 262 + x = 104 \\ 2x = 104 + 262 \\ 2x = 366 \\ x = 183 \\ y = 262 - 183 \\ y = 79[/tex]

what is value of y and x if 3x+2y=2 and 2x+3y=4​

Answers

We need to form a system of equations:

3x + 2y = 2

2x + 3y = 4

Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).

6x + 4y = 4

6x + 9y = 12

Next, we can subtract the second equation from the first. We get:

0x - 5y = -8

Then this becomes:

-5y = -8

÷-1    ÷-1

5y = 8

÷5    ÷5

y = 1.6

Substitute 1.6 for y in one of the equations:

2x + 3(1.6) = 4

2x + 4.6 = 4

2x = -0.6

÷2      ÷2

x = -0.3

Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]

.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

What is the constant of variation?



What is the equation representing the direct variation?

Answers

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation of direct variation is given by,

y = kx   ....(i)    where "k" is a constant.

Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Given that y varies directly with x, and x = 27, then y = 3.

Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:

⇒ 3 = 27k

⇒ k = 3/27

⇒ k = 1/9

Substitute the values of k = 1/9 in the direct variation equation :

⇒ y = (1/9)x

Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

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write 3/2 4/5 8/5 in decimal notation

Answers

Answer:

hope it will help you Mark me as a brilliant

2x+3y=19 // 6x+2y=22​

Answers

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 5 )

On another map, the distance between Saugerties and
Kingston is 2 inches. What would the distance from
Saugerties to Catskill be on this map?

Answers

Answer:

10miles

Step-by-step explanation:

Answer:

I have no clue what is going on wit dis g

Help with this question please!!!!

Answers

Answer:

I think that the answer is 5

Find the slope of the line that passes through (-26, 9) and (32, 71).

Answers

Answer:

[tex]Slope = \frac{31}{29}[/tex]

Step-by-step explanation:

Step 1:  Define the slope formula

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Step 2:  Find the slope

[tex]Slope = \frac{71-9}{32-(-26)}[/tex]

[tex]Slope = \frac{62}{58}[/tex]

[tex]Slope = \frac{31}{29}[/tex]

Answer:  [tex]Slope = \frac{31}{29}[/tex]

2. For all real numbers x and y, (2x + 3y)² = ?

Answers

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 2x   ;  b = 3y

(2x)²= 2x * 2x = 4x²

(3y)²  =3y * 3y = 9y²

(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²

              = 4x² + 12xy + 9y²

please help me T-T.......

Answers

Hi

1) f(x)= 0.9 x

2) g(x) = x-100

3) f °g. is first apply g then f. so :

f°g = 0.9 ( x-100) = 0.9x-90

4) g°f. is first apply f then g

so g°f = (0.9x) -100 = 0.9x-100

I let you conclude which is the best deal :)

If x^2-ax+b and x^2-cx+d both have a factor x-m prove that m=d-b/c-a

Answers

Answer:

see explanation

Step-by-step explanation:

Given (x - m) is a factor of both then x = m make both expressions equal to zero.

m² - am + b = 0

m² - cm + d = 0

Then

m² - am + b = m² - cm + d ( subtract m² - cm from both sides )

cm - am + b = d ( subtract b from both sides )

cm - am = d - b ← factor out m from each term on the left side

m(c - a) = d - b ← divide both sides by (c - a)

m = [tex]\frac{d-b}{c-a}[/tex] ← as required

Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?

Answers

5 cm or 29 cm

Step-by-step explanation:

Let x length is cut off from each measurements.

Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.

Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.

Therefore, by Pythagoras theorem:

[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]

So, the length that is cut off will be either 5 cm or 29 cm.

Complete the steps to solve the equation. 9 – 4x = 2x 1. Addition property of equality: 9 = 6x 2. Division property of equality: = x

Answers

Answer:

x = 3/2

Step-by-step explanation:

Given:

9 - 4x = 2x

Step 1: Addition property of equality

9 - 4x + 4x = 2x + 4x

9 = 6x

Step 2: Division property of equality:

9 = 6x

9/6 = 6x/6

9/6 = x

x = 9/6

= 3/2

x = 3/2

Check:

9 - 4x = 2x

9 - 4(3/2) = 2(3/2)

9 - 12/2 = 6/2

9 - 6 = 3

3 = 3

Can anyone help me with this?

Answers

8.6

Answer:

Solution given:

[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]

Answer:

[tex]8.6[/tex]

Step-by-step explanation:

Step 1:  Find the approximate value of [tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]

Answer:  [tex]8.6[/tex]

If $a$ and $b$ are positive integers such that $\gcd(a,b)=210$, $\mathop{\text{lcm}}[a,b]=210^3$, and $a

Answers

Answer:

[tex]a * b = 210^4[/tex]

Step-by-step explanation:

Given

[tex]a,b>0[/tex]

[tex]gcd(a,b) = 210[/tex]

[tex]lcm(a,b) = 210^3[/tex]

Required

The product of a and b --- missing from the question

To do this, we make use of the following formula:

[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]

So, we have:

[tex]a * b = 210 * 210^3[/tex]

Using the product law of indices, we have:

[tex]a * b = 210^4[/tex]

This means that the product of a and b gives [tex]210^4[/tex]

if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5

guys help me with this question please​

Answers

Answer:

c is -30

Step-by-step explanation:

I. 1/a - 1/b - 1/d = 1/c

II. 1/2 - 1/3 - 1/5 = 1/c

III. (15-10-6)/30 = 1/c

IV. -1/30 = 1/c

V. so c.value is -30

How many times more ?

Answers

Answer:

1.3

Step-by-step explanation:

bc for each time x increases by 1, it multiplies by 1.3

i cant think of any other way to explain it

but   i hope this helped :D

Answer:

1.3 times

Step-by-step explanation:

f(x)= 68 (1.3) ^x

it, means each year, the expected number of squirrels is 1.3 times, the number the year before.

x=0 so, f(0)=68

New x=1, so f(1)= 68(1.3)¹

= 68 × 1.3

f (1)= f(0) × 1.3

So, 1.3 times

OAmalOHopeO

is there any responsible way to use student loans why or why not

Answers

Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.

Step-by-step explanation:

Look at this graph:
100
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60 70 80 90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

See pic below.

slope = 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

If 4x + 2y = 14 and x - 2y = 6, what is the value of y?

Answers

Answer:

y is -1

Step-by-step explanation:

[tex]4x + 2y = 14 - - - (a) \\ x - 2y = 6 - - - (b)[/tex]

(a) + (b):

[tex]5x = 20 \\ x = 4[/tex]

therefore:

[tex]x - 2y = 6 \\ 4 - 2y = 6 \\ 2y = - 2 \\ y = - 1[/tex]

Answer:

y must be -1

Step-by-step explanation:

We are given the system of linear equations

4x + 2y = 14

 x - 2y = 6

and need to find the value of y.  Combining the two equations yields

5x = 20, and so we know that x must be 4.

If x is 4, then the second equation becomes 4 - 2y = 6, or -2y = 2.

Then y must be -1.

I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!

Answers

Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

Concept:

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Center = (2, 14)

Radius = 1

Given formula

(x - h)² + (y - k)² = r²

Substitute the value into the formula

(x - 2)² + (y - 14)² = (1)²

Simplify

(x - 2)² + (y - 14)² = 1

Hope this helps!! :)

Please let me know if you have any questions

Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:

Answers

The answer to your question is 30

Answer:

30 people took part in the survey

Step-by-step explanation:

5+7+6+5+4+3= 30

Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0

Answers

Answer:

the inequality is 0<x<4

Step-by-step explanation:

(0,4)

help please I'll give brainliest

Answers

Answer:

35

Step-by-step explanation:

6:5

 We need to get the first number to 43

6*7 = 42

Multiply each term by 7

6*7 : 5*7

42  : 35

Find the value of -3x + 5,
if –3 + 4x = -19

Answers

Answer:

17

Step-by-step explanation:

Solve the equation for x then plug that into the 1st expression.

-3 + 4x = -19

4x = -19 + 3

4x = -16

x = -4

then

-3x + 5

-3(-4) + 5 = 12 + 5 = 17

PLEASE HELP ASAPP :(
Find the area of triangle ABC.

Answer Options:
A. 18.52 units²
B. 12.16 units²
C. 15.14 units²
D. 31.27 units²

Answers

Answer:

Option C, 15.14 units²

Step-by-step explanation:

area of the triangle,

6.82×5.04×sin(61.73)/2

= 15.1365001284..

= 15.14 units² (rounded to the nearest tenth)

The required area of the irregular triangle is 15.14 unit². Option C is correct.

Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.

What is the triangle?

The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.

What is altitude?

Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.

The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
       =  1/2 * 6.82 * 5.04 * sin61.73°
       =  1/2 * 6.82 * 5.04 * 0.88
       =  15.14 unit²

Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.


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q · 7/9 = 4
What is q?

Answers

Answer:

q = 36/7  or 5 1/7

Step-by-step explanation:

q · 7/9 = 4

Multiply each side by 9/7

q · 7/9 *9/7 = 4*9/7

q = 36/7

If we want it as a mixed number instead of an improper fraction

7 goes into 36 5 times with 1 left over

q = 5 1/7

9. An equation representing the height of a burning candle is H = 2(9 - 2t), where
H is the height of the candle in cm and
t is the amount of time that the candle has been burning in minutes.
How long will it take for the candle to burn down to a height of 4 cm?
a. 2 min
b. 3.5 min
C. 5.5 min
d. 7 min

Answers

Answer:

H= 4cm

we want t

4=2(9-2t)

2=(9-2t)

-7=-2t

t=3.5 minutes

Solve for x. Leave your answer in simplest radical form. *Giving brainliest*

Answers

Answer:

x= 10.630145

I hope it's helps you

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