In January 2013, a country's first-class mail rates increased to 52 cents for the first ounce, and 23 cents for each additional ounce. If Sabrina spent
$1742 for a total of 48 stamps of these two denominations, how many stamps of each denomination did she buy?
She bought
of the 52 cent stamps and
of the 23 cent stamps.

Step-by-step explanation:

There are 24=16 total possible outcomes of which only one outcome gives rise to all heads. Thus the probability that all coins land heads is 1/16.

Answer:

20

Step-by-step explanation:

After 99,999 is 100,008 So start from there

100,008 1

100,017 2

Ten 9's later...

100,107 12

Eight 9's later...

100.179

Ther are 20

Answer:

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Upper 20% of weights:

The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then

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

[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]

[tex]X = 0.84\sigma + \mu[/tex]

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

cos 28°​cos 62°​– sin 28°​sin 62°​ = 0

From one of the trigonometric identities stated as follows;

cos(A+B) = cosAcosB - sinAsinB             -----------------(i)

We can apply such identity to solve the given expression.

Given:

cos 28°​cos 62°​– sin 28°​sin 62°​

Comparing the given expression with the right hand side of equation (i), we see that;

A = 28°

B = 62°

∴ Substitute these values into equation (i) to have;

⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°

Solve the left hand side.

⇒ cos(90°) = cos28°cos62° - sin28°sin62°

⇒ 0 = cos28°cos62° - sin28°sin62°     (since cos 90° = 0)

Therefore,

cos28°cos62° - sin28°sin62° = 0

Step-by-step explanation:

use the simple interest formula

52km multiply by 4(days)=208

Answer:

C

Step-by-step explanation:

Points are written as (x,y)

So in (4,-1) x = 4 and y = -1

Looking at a graph if you go to the right 4 units the x axis and down one unit you will be at point (4,-1)

The graph that shows this would be c

Answer:

1.) B

2.) B

Step-by-step explanation:

Number 1 is B bc rapid population in Mexico is caused by the economy improving.

Number 2 is B bc if there was one political party , there would be little opposition in the government. It basically means disaster.

Answer:

x=0

Step-by-step explanation:

0/3 = 0

0+5=5

y=23x+143 hope this helps

Answer:

y = -5x+14

Step-by-step explanation:

slope formula

y-y divided by x-x

4-(-1) / 2-3

5/-1 or -5

substitute into y = mx + b

4 = -5(2) + b

b = 14

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Answer:

1/80

Step-by-step explanation:

(the area of the small circle)/(the area of the larger circle)

= (π× 3²)/(π× 27²)

(=> eliminate π)

= 3²/27² = (1/9)² = 1/81

since the shaded area is inside the larger circle,

the geometric probability =

1/(81-1) = 1/80

Answer:

issue is the formula is still available

Step-by-step explanation:

what thw law do I have

Answer:

9

Step-by-step explanation:

-5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4

-5 + 9 = 5

Answer:

The y-intercept of function A is less than the y- intercept of function B

hope it is helpful to you

Answer:

the answer is the 2nd one the one with the v shape

Step-by-step explanation:

if you do the vertical line test which is just drawing a vertical line through the line and it intersect the line twice than it is NOT functional

(i think i do not know D:)

Answer:

did, the jackles howled loudly in the forest ?

Answer:

Answer:Uh oh! It looks like your question is missing some crucial information.

Step-by-step explanation:

You didn't include the"given line"

Answer:

Point p

Step-by-step explanation

The first number in your point is on the x axis, but since it's 0 you don't move anywhere.  

The second number in your point is on the y axis, it's -3, so you move down on the y axis 3 times.

When the x axis(first number) is negative you move left, and if the y axis(second number is negative you move down), and vise versa.

Answer:

Solution given:

length [l] =6in

wide[w]=9in

height[h]=4in

we have

volume of the display box=lwh=6*9*4=216in³

the required volume is 216 cubic inches.

Answer:

option 2

Step-by-step explanation:

Using trigonometric ratio:

[tex]Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8[/tex]

Now using Pythagoras theorem we will find v

[tex]8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}[/tex]

By using trigonometric relations, we will see that v = 4*√3 and u = 8

Here we have a right triangle, we can use trigonometric relations to find the missing sides.

We can see that v is the opposite cathetus of the 60° angle, then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know, we get:

tan(60°) = v/4

4*tan(60°) = v = 4*√3

To get the value of u, we use:

cos(a) = (adjacent cathetus)/(hypotenuse).

cos(60°) = 4/u

u = 4/cos(60°) = 2*4 = 8

Then we have:

v = 4*√3

u = 8

If you want to learn more about triangles, you can read:

https://brainly.com/question/17972372

Answer:

x-intercept is (2,0)

y-intercept is (0,-8)

Step-by-step explanation:

to find the 'x-intercept', substitute zero for 'y' and solve:

4x - 0 = 8

4x = 8

x = 2;  x-intercept is (2,0)

4(0) - y = 8

0 - y = 8

y = -8; y-intercept is (0,-8)

Answer:

y=c - w

y=m+p

y=n+2g

y=c/3

y=w/a

y=w×c

y=2c×a

y=a-p

Step-by-step explanation:

crossing the equality sign

- = +

+ = -

× = ÷

÷ = ×

hope this would help

Answer:

i dont know this sorry

Step-by-step explanation:

=======================================================

Work Shown:

A = h*(b1+b2)/2  .... area of trapezoid formula

A = 4*(7+3)/2

A = 4*(10)/2

A = 40/2

A = 20 square units

-----------

notes:

Answer:

C. [tex]\frac{}{AB}[/tex]

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]

Answer:

4cm ×6cm(parallelogram)

Answer:

(6,5)

Step-by-step explanation:

To keep the sides parallel, the y coordinate must be  the same as the top point so y = 5

The distance between the bottom points is 1, so the distance between the top points must be 1

The point could be at 5-1 =4  or 5+1 = 6

(4,5) or (6,5)

Given the choices listed