Last week Andi had exams in Chemistry and in Spanish. On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45. On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65. For which class should Andi expect the better grade?

Answer:

Step-by-step explanation:

p(x) = ax³ + x² - 2x + b

p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1

a + b - 1 = 0  ⇒   b = 1 - a

p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3

- a + b + 3 = 0    ∧   b = 1 - a

- a + (1 - a) + 3 = 0

- a + 1 - a + 3 = 0

-2a + 4 = 0

-2a = -4

 a = 2

b = 1 - 2 = -1

Answer:

Step-by-step explanation:

a) area of rhombus = 1/2 × d1 × d2 = 90cm^2

here d1 and d2 are the diagonals

d1 = 18 cm

1/2 × 18 × d2 = 90

9 × d2 = 90

d2 = 90/9

d2 = 10 cm

∴The length of other diagonal is 10 cm

b) d1 = 28 cm

d2 = 24 cm

area = 1/2 × d1 × d2

= 1/2 × 28 × 24

= 336 cm^2

∴ The are of the rhombus = 336 cm^2

Hope this helps

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Answer:

A translation 3 units to the right and a 90-degree clockwise rotation

Step-by-step explanation:

answer

x = {-5, -⅓}

explanation

[tex]3 {x}^{2} + 16x + 5 = 0[/tex]

[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]

[tex]3x(x + 5) + 1(x + 5) = 0[/tex]

[tex](x + 5)(3x + 1) = 0[/tex]

[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]

[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]

HOPE IT HELPS...

Step-by-step explanation:

Since this is a rectangle these two equations for the length have to equal each other.

2x+4=7x-1

We now need to get all of the x's on one side and constant numbers on the other side.

add 1 to both sides and subtract 2x from both sides.

5=5x

divide 5 from both sides.

x=1

Answer:

Yes

Step-by-step explanation:

Take note that a favorite core subject represents subjects that are widely recognized as important to the student's line of study, they include subjects like Maths, English, Science, and Engineering.

While Elective subjects are optional subjects that are deemed less important than the core, but by choosing one's favorite elective subject shows that individual places a certain level of importance that is almost that of the core subject.

Answer:

x = √11

Step-by-step explanation:

2x² - 1 = 21

add 1 to both sides

2x² - 1 + 1 = 21 + 1

simplify

2x² = 22

x² = 22 / 2

x = √11

Answer:

x = √11

Step-by-step explanation

2x² - 1 = 21

negative sign crossing an equal to sign becomes a positive sign

2x² - 1  = 21 + 1

2x² = 22

x² = 22 / 2

x = √11

Answer:

-1/4

Step-by-step explanation:

Slope = y/x - y1/x1

=> -7/7 - (-3/-9)

=> -7 +3 / 7+9

=> -4/16

=> -1/4

The slope for the given coordinates of points is -1/4.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given points are (-9, -3) and (7,-7).

The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,

m = (y₁ - y₂)/(x₁ - x₂)

Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,

⇒ m = (-3 + 7)/(-9 - 7)

⇒ -1/4

Hence, the slope is obtained as -1/4.

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This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)

The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.

At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.

------------------------------

Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3

Note how I replaced h with r and simplified.

Also,

Volume of hemisphere = (1/2)*(volume of sphere)

Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )

Volume of hemisphere = (2/3)*pi*r^3

------------------------------

Add the two volume expressions

total volume = (volume of cylinder) + (volume of hemisphere)

total volume = (pi*r^3) + (  (2/3)*pi*r^3 )

total volume = (3/3)pi*r^3 + (2/3)pi*r^3

total volume = (5/3)pi*r^3

------------------------------

Set this equal to 43510 and solve for r

(5/3)pi*r^3 = 43510

pi*r^3 = (3/5)*43510

pi*r^3 = 26106

r^3 = 26106/pi

r = (26106/pi)^(1/3)

r = 20.2549023450428

The building has a radius of approximately 20.2549023450428 meters

------------------------------

We can now compute the area of the circular floor

area = pi*r^2

area = pi*(20.2549023450428)^2

area = 1,288.87316044698

Round this however you need to

Answer:

[tex]x\geq 22[/tex]

Step-by-step explanation:

If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and  we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality [tex]x\geq 22[/tex].

Hope this helped!

Answer:

When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.  

Line ab is the 2 miles southeast the plane flies.

Line ac = line cb

sine (45º) = opposite / hypotenuse = cb / 2

.70711 = cb / 2

cb = 1.41422  miles = line ac

Line cs = 3 - 1.41422 = 1.58578

Line x^2 = cs^2 + cb^2

Line x^2 = 2.5146982084  + 2.0000182084

Line x^2 = 4.5147

Line x = 2.1248

Step-by-step explanation:

Answer:

2(10) is implied multiplication

Step-by-step explanation:

( 18+2) + 2(10) ÷4 -2

PEMDAS

Parentheses first

( 20) + 2(10) ÷4 -2

Then exponents ( we have none)

Then multiply and divide from left to right

20 + 20÷4 -2

20 + 5-2

Then add and subtract from left to right

25 -2

23

2(10) is implied multiplication

Answer:

23

Step-by-step equation

(18+2)+2(10)÷4-2

20+20÷4-2

20+5-2

25-2

23

Answer:

(5*7)-f

Step-by-step explanation:

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

Algebraic expression is the combination of terms that consists of numbers  and variables connected by arithmetic operators.

Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.

We need to write it in an algebraic expression

5 times a quantity. for product we use multiplication sign

For addition we use + sign and for difference we use minus sign .

5 times the quantity 7 means 5 multiplied by 7

[tex]5 \cdot 7[/tex]

5 times the quantity 7 minus a number f  

subtract f from the expression we got

[tex]5 \cdot 7 -f[/tex]

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

Learn more information about 'Algebraic expression ' here:

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Answer:

7 2/5

Step-by-step explanation:

7.08 to improper fraction:

708/100

= 7 2/25

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Insert the values:

[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]

Simplify:

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

The distance between the two points is the square root of 13.

:Done

Answer: [tex]\sqrt{13}[/tex] or 3.61

Step-by-step explanation:

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

[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]=\sqrt{13}[/tex]

Answer:

x = - 2, y = - 8

Step-by-step explanation:

Given the 2 equations

13x - 6y = 22 → (1)

x = y + 6 → (2)

Substitute x = y + 6 into (1)

13(y + 6) - 6y = 22 ← distribute and simplify left side

13y + 78 - 6y = 22

7y + 78 = 22 ( subtract 78 from both sides )

7y = - 56 ( divide both sides by 7 )

y = - 8

Substitute y = - 8 into (2) and evaluate for x

x = - 8 + 6 = - 2

Thus x = - 2, y = - 8

Answer:

an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.

Step-by-step explanation:

i hope this helps :)

Answer:

1/7 is left

Step-by-step explanation:

What is left to read after the first week

1 - 3/7

7/7 - 3/7

4/7

He read 3/4 of this the second week

4/7 * 3/4

3/7 was read

4/7 - 3/7 is what is left

1/7 is left

Answer:

The correct answer is

Step-by-step explanation:

1/7 of the book is left to read.

Hope this helps....

Have a nice day!!!!

Answer:

y=6x-23

Step-by-step explanation:

-5=6(3)+b

-5=18+b

b=-23

If this helps, plz give brainly, I rlly need it!

Answer:

6x-23

Step-by-step explanation:

Answer:

B. 6,940,000

Step-by-step explanation:

6.94 x 10^6

Make the number "6.94" as 694.

Since we make this decimal point move 2 places to the right.

We should decrease 2 powers from 10^6

=> 694 x 10^4

=> 694 x 10000

=> 6,940,000

So, the answer is B

Answer: 54.29%

Step-by-step explanation:

Given: The probability that they  will win both games is 38%.

i.e. P( both games will win) =0.38

The probability that they will win just the first game is  70%.

P(first game will win) = 0.70

To find : P(second game will win| first game will win)

Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]

So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]

[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]

Hence, the required probability = 54.29%

Answer:

69

Step-by-step explanation:

-y/3 = -23

=> -y = -23 x 3

=> -y = -69

=> y = 69

Answer:

69

Step-by-step explanation:

We multiply both sides of the equation by 3 to cancel out the denominator. That gives us -y=-69. Since we cannot have a negative variable, we change the values on both sides, giving us y=69

Work Shown:

10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001

The rule used here is x^(-k) = 1/( x^k )

Answer:

C. O.001

Step-by-step explanation:

10^-3 = (1)/(10^3)

move the negative exponent to the denominator

(1)/(1000)

simplify 10^3 in the denominator

(1)/(1000) = 0.001

Answer:

1176in^2

Step-by-step explanation:

find the surface area of the cube

(14*14)6=1176 inches cubed

14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are

Answer:

[tex]\large\boxed{1,176 in^{2} }[/tex]

Step-by-step explanation:

The cube is 14 inches tall

All of the sides in a cube are the same, which means:

Length = 14 inches

Width = 14 inches

Height = 14 inches

There are 6 sides in a cube. Each side has a length and a width.

We can use the following formula to find the surface area (SA) of the cube, or how much wrapping paper Jayde will use.

SA = # of Sides(Length(Width))

Plug in known values

SA = 6((14)(14))

The 14s represent the length and width while the 6 represents the number of sides in the cube.

Solve/Simplify

SA = 6(196)

SA = 1,176 inches²

Jayde will need to use 1,176 in² of wrapping paper to wrap the whole present.

Hope this helps :)

Answer:

The House

Step-by-step explanation:

Answer:

Step-by-step explanation:

20

×48

-------

160

800

---------

960

Hope this helps

plz mark as brainliest!!!!!!!

Answer:

Step-by-step explanation:

20×48 =

= 20×(40+8) =

= 20×40 + 20×8 =

= 2×4×100 + 2×8×10 =

= 800 + 160 =

= 960  

Or:

20×48 = 2×48×10 = 96×10 = 960

THIS IS COMPLETE QUESTION

computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?

Answer:

the probability is P=0.045

Step-by-step explanation:

We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter

We were given

σ=0.1

n=16

We calculate:

Z=(0.95-1)/0.1 √16

Z=-0.125

Using the standard z- tables. to get the probability we have

P(X<0.95)=P(z<-0.115)=0.045

Therefore, probability is P=0.045

Answer:

zeros -1,3  and the factors ( x+1) (x-3)

Step-by-step explanation:

The zeros are where it crosses the x axis

It crosses at x=-1 and x=3

So the factors are ( x- -1) and ( x-3)

                                ( x+1) (x-3)

Answer:

[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]

Step-by-step explanation:

Zeros of the function:

The zeros of a function is when the y value is 0 or where the function crosses the x-axis.

The function crosses the x-axis at x = -1 and x = 3.

Factors of the function:

[tex]y=x^2 - 2x- 3[/tex]

Factor the right side.

[tex]y=x^2 +1x-3x- 3[/tex]

[tex]y=x(x +1) -3(x+1)[/tex]

Take (x + 1) common.

[tex]y=(x+1)(x-3)[/tex]

The factors are (x + 1) and (x - 3).

Answer:

Relationship: As the input increases by 1, the output increases by 3.

Equation: y=3x-1

~Hope this helps~