Today only, a sofa is being sold at a 32% discount. The sale price is $289.
What was the price yesterday?

Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]

For the subtraction, we have that:

[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]

[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]

The probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]

[tex]Z = 0.57[/tex]

[tex]Z = 0.57[/tex] has a p-value of 0.7157.

1 - 0.715 = 0.284

0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

A similar problem is given at https://brainly.com/question/24663213

Step-by-step explanation:

we paint the walls and ceilings.

and we ignore any doors or windows (no information about them).

so, each room has then 5 rectangles : 4 walls and 1 ceiling.

when we say a room is 14 ft × 10 ft, this also means there are 2 sides of 14 ft and 2 sides of 10 ft.

and the area is 14×10 ft².

the area of the ceiling is the same as the area of the floor : 14×10 = 140 ft²

for the walls we have 2 rectangles of 14×8 = 112 ft², and 2 rectangles of 10×8 = 80 ft² (remember, the height of the room is 8 ft).

for the sister's room it is similar.

just a 12×10 = 120 ft² ceiling.

and 2 rectangles of 12×8 = 96 ft² and again 2 rectangles of 10×8 = 80 ft² as walls.

altogether we have then

140 + 112 + 112 + 80 + 80 + 120 + 96 + 96 + 80 + 80 ft²

that is in total

996 ft²

how many gallons of paint do we need for this ?

well, 1 gallon per 250 ft².

so, how often does 250 fit into 996 ?

996 / 250 = 3.984 gallons.

since we get the paint most likely only in quantities of gallons, we need 4 gallons for the paint job.

Answer:

Given composite function:

Possible functions that compose it:

and

Answer:

Step-by-step explanation:

Assuming we're rolling a cube die with 6 sides.

Odds for rolling any of 1, 4, 3, or 5 has four possible successes

4/6 = 2/3

Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6

2/6 = 1/3

The value in cents of a nickels = 5a

     [] A nickle is worth 5 cents, so 5a is the value of a nickles

The value in cents of a dimes = 10a

     [] The value of a dime is 10 cents, so 10a is equal to a dimes

The value in cents of a quarters = 25a

     [] A quarter is worth 25 cents, so 25a is the value of a quarters

The value in cents of a dimes and one quarter = 10a + 25

     [] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter

The value in cents of 13 dimes =​ 130

     [] A dime is worth 10 seconds, so 13 * 10 = 130

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

664

Step-by-step explanation:

666 balls to make a full pack

666x3=1998

6000-1998=2

666-2=664

Answer:

X=5/2

4(x+2)2=36

(4x+8)2=36

8x+16=36

8x=36-16

8x=20

X=20/8

X=5/2

Step-by-step explanation:

Hope this helps:)

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.

[tex]x = \frac{-b}{2a}[/tex]

[tex]x = \frac{-8}{2(1)}[/tex]

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

Answer:

D. -3

Step-by-step explanation:

g(x) moved 3 units to the right

[tex] \: \: \: [/tex]

[tex]f(x) = 4[/tex]

[tex]x = R[/tex]

[tex] \: \: \: [/tex]

Answer:

x=100 degree's

Step-by-step explanation:

Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.

Answer:

pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.

Answer:

7 inches

Step-by-step explanation:

5 square + 5 square=50

the square root of 50 is 7.07

7.07 to the nearest whole number is 7

Answer:

7 Inches

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

5² + 5² = c²

50 = c²

[tex]\sqrt{50}[/tex] = c

c = 7.07

ROUND

c = 7 inches

Answer:

Step-by-step explanation:

2 rectangles 2.5 x 3.5 and 2 rectangles 2 x 3.5

A = 2(2.5)(3.5) + 2(2.0)(3.5)

A = 7(2.5 + 2.0)

A = 7(4.5)

A = 31.5 cm²

Answer:

-217 is the answer.

Step-by-step explanation:

negative nineteen is -19

eleven = 11

and from their product we have to subtract 8.

so,

-19×11

= -209

-209-8

= -217.

hope it helps you

plzz plzz plzz mark as brainliest

Answer:

the number is -1

Step-by-step explanation:

Let the number be x. PROOF

11x-8=-19. (11×-1)-8=-19

11x=-19+8

11x=-11

11x/11=11/11

x=1

Answer:

n-5=12

This is the answer

The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

The given statement is "5 less than a number is 12"

According to the given question, translate the phrase into an algebraic form :

⇒ n - 5 = 12

Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"

Now the above equation solves for variable n,

⇒ n - 5 = 12

Add 5 to both sides of the above equation,

⇒ n = 12 + 5

⇒ n = 17

Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

$20 million.

Step-by-step explanation:

Amir is buying tickets for the $120 million lotteries. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother’s four friends, and they will each get

The illustration provided in the question is an example of an inverse variation.

When there is an inverse proportion, as one of the variable increases, the other variable decreases. As the number of people who share the money increases, the amount of money each person would get would become smaller.

The formula used to represent inverse proportion is:

y =  k/x

• y = dependent variable

• x = independent variable

• k = constant of proportionality

Here is the complete question: Amir is buying tickets for the  million lottery. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother's four friends, and they will each get  million. Is this an example of direct, inverse, or joint variation?Joint variationInverse variationDirect variation

To learn more about inverse proportion , please check: https://brainly.com/question/25748643

Using Venn probabilities, it is found that there is a 0.08 = 8% probability that the customer only likes iced coffee.

In this problem, the events are:

The probability of only liking iced coffee is:

[tex]P(I \cap H^c) = P(I) - P(I \cap H)[/tex]

Then:

[tex]P(I \cap H^c) = P(I) - P(I \cap H) = 0.3 - 0.22 = 0.08[/tex]

0.08 = 8% probability that the customer only likes iced coffee.

A similar problem is given at https://brainly.com/question/24707032

Answer:

625.25

Step-by-step explanation:

the answer is 625.25

Answer: 625.25

Step-by-step explanation:

Answer:

its the third choice

Step-by-step explanation:

Side angle side cuz there r 2 sides congruent in the picture shown above.

[tex]Hiya![/tex]

Sokka is here to help!!

Here's the step:

[tex]x^2+1-3\frac{In(x)}{x}[/tex]

[tex]Mutiply[/tex] [tex]by:[/tex] [tex]3[/tex]

[tex]. \frac{In(x)}{x} :\frac{3In(x)}{x}[/tex]

[tex]= x^2+1-\frac{3In(x)}{x}[/tex]

ANSWER:

[tex]= x^2+1-\frac{3In(x)}{x} .[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Two systems of equations are equivalent if they have they have the same solution/solutions.

Answer: it takes 1/5 revolutions per foot and the slope is 5

Step-by-step explanation:

Answer:

5.5 hours

Step-by-step explanation:

time = distance/speed

t = 330/60

t = 5.5 hours

Answer:

D. The coefficients are the same, and the constants are different

Step-by-step explanation:

This means that because we have the same coefficient (2/3), if we wanted the same equation, the constants (x +/- #) would have to be the same, and since they are not in this instance, that makes the equation false, and therefore has no solution

Answer:

With discount : $37.76

With tax : $56.38

With both : $40.19

Step-by-step explanation:

Hope this helps