The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 9090 million dollars with a standard deviation of 77 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year

Answer:

3

Step-by-step explanation:

y= x + 8..... (1)

y= 3x - 11..... (2)

y - x = 8..... (3)

y - 3x = -11..... (4)

eliminating x:

(3) × 3: 3y - 3x = 24 ........ (5)

(4) × 1: y - 3x = -11 ......... (6)

(5) - (6): 2y = 35

Divide both sides by 2, therefore, y = 17.5

substitute the value of y into (3)

y - x = 8

17.5 - x = 8

17.5 - 8 = x

9.5 = x

I hope it'll help

Answer:

(8,1)

Step-by-step explanation:

When flipping across the y axis, the y coordinate stays the same, while the x coordinate changes it's sign.

(x,y) - > (-x,y)

(-x,y) -> (x,y)

Answer:

d) tan A = 12 / 5

Step-by-step explanation:

tan is equal to the length of the opposite side divided by the length of the adjacent side.

In this case then, the tan of A is equal to 36 / 15, or 12 / 5

Answer:

a.

the area of each parallelogram

a. 66

b. 49

c. 25

d. 32

e. 18

Step-by-step explanation:

a parallelogram is similar to a rectangle when you are finding the ares, you use the base and the height to find the area. If it helps, like the text suggested, just change them to look like a rectangle and then find the area.

Answer:

246

264

426

462

624

642

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

Answer:

there are 4 weeks in a month so if 45 kg is for 1 week then

Step-by-step explanation:

x=4 (weeks in a month)

=45x

=180 kg of rice

Answer:

a.

Step-by-step explanation:

Answer: y=1/2x-2

Step-by-step explanation:

y=mx+b

2y-x=-6

2y=x-6

y=1/2x-3

y-y1=m(x-x1)

y+4=1/2(x+4)

y+4=1/2x+2

y=1/2x-2

Answer:

True.

Step-by-step explanation:

The sum = 180 degrees.

Answer:

$9,960

Step-by-step explanation:

249000 x 0.4 = 9960

Answer:

1000

Step-by-step explanation:

Answer:

1,000

Step-by-step explanation:

pls give brainliest

Answer:

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Mean of 925 and a standard deviation of 60 degrees.

This means that [tex]\mu = 925, \sigma = 60[/tex]

The proportion of bricks that crack during the firing process is closest to

This is 1 subtracted by the pvalue of Z when X = 1150. So

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

[tex]Z = \frac{1150 - 925}{60}[/tex]

[tex]Z = 3.75[/tex]

[tex]Z = 3.75[/tex] has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Answer:

A

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Simplify the given expression by doing each operation as per the order of operations. The order of operations is a systematic way of tackling an equation, that ensures that the result attained will be true when one solves the equation; remember, the order of operations states;

1. Parenthesis

2. Exponents

3. Multiplication/ Division

4. Addition/ Subtraction

Simplify the equation by combining terms as per the order of operations;

[ ( 4 + 8 ) * 3 ] / 9

= [ 12 * 3 ] / 9

= 36 / 9

= 4

☁️ Answer ☁️

n = 3

Hope it helps.

Have a nice day noona/hyung ￣▽￣

Answer:

n=3

Step-by-step explanation:

-2n=-6

-2n/-2= -6/-2

n=-3

Answer:

If I understand the definitions correctly,

"surface area" would be the total of all the areas of an object, while "lateral" surface area would exclude the base

so the surface area of a square pyramid

= area of the square base + 4(area of the triangle)

That's my "formua".

In both #1 and #2 you then give dimensions H, W, and L without defining them. If the base is square, how come we have different (W)idths and (L)engths

in #3 Diameter = 8, thus radius = 4

height = 7

Thus slant height of cone = √(4^2 + 7^2) = √65

surface area = πr(r+√(h^2+r^2)

= 4π(4 + √65) = appr 151.58

or surface area = πr^2 + πrs, where s is the slant height

= π(16) + π(4√65) = 151.58

I got the same answer using 2 established methods, none of the answers given match that.

Step-by-step explanation:

i hope this helps if not im sorry

Answer:

2 1/3 acres per hour

Step-by-step explanation:

If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.

Answer:

If it is [tex]\sqrt{96} \sqrt{96}[/tex] then it is the solution [tex]\sqrt{96} \sqrt{96} = 96[/tex] because the square root of an expression multiplied by itself gives that expression.

Answer:

165.3 (165 and 1/3)

Step-by-step explanation:

brainliest plz

Answer:

your answer will be 113.3 yard

Step-by-step explanation:

hope it helps you

have a good day

Given:

The piece-wise function is:

[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]

To find:

The domain of the given function.

Solution:

Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.

The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is

[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]

Therefore, the correct option is B.

Step-by-step explanation:

This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.

Answer:

2^1

Answer:

The point of intersection of both diagonals is (0,1)

Step-by-step explanation:

for the parallelogram, we have the diagonals GJ and HK

Firstly, we need to get the equation of the lines that join these two points

For GJ

the general equation is;

y = mx + b

m is slope and b is y-intercept

We have the points

(-2,3) and (2,-1)

The slope m is as follows;

m = (y2-y1)/(x2-x1)

m = (-1-3)/(2-(-2) = -4/4 = -1

So we have;

y = -x + b

To get b, we substitute any of the two points

Let us use (-2,3)

x = -2 and y = 3

so we have;

3 = -1(-2) + b

3 = 2 + b

b = 3-2 = 1

so we have the equator GJ as y = -x + 1

We repeat same for HK

(4,4) and (-4,-2)

m = (-2-4)/(-4-4) = -6/-8 = 3/4

so we have;

y = 3x/4 + b

use (4,4) to get b

4 = 3/4(4) + b

4 = 3 + b

b = 1

so we have the equate;

y = 3x/4 + 1

multiply through by 4

4y = 3x + 4

To get the point of intersection, we have to solve the equations of the diagonals simultaneously

the equations are;

4y = 3x + 4

y = -x + 1

Multiply equation ii by 4 and i by 1

4y = 3x + 4

4y = -4x + 4

Subtract ii from i

0 = 7x

x = 0

To get y, use any of the equations;

y = -x + 1

y = 0 + 1

y = 1

So the point of intersection of both diagonals are;

(0,1)

Answer:

Your answer is in the Step by Step

Step-by-step explanation:

4=32x

We move all terms to the left:

4-(32x)=0

We move all terms containing x to the left, all other terms to the right

-32x=-4 x=-4/-32 x=1/8

Answer:

the answer is x=1/8

in the decimal form, it's x=0.125

Step-by-step explanation:

isolate the variable by dividing each side by a factor that doesn't contain the variable

hope this helps.

may I  please get a brainliest:)

Answer::

Step-by-step explanation:

Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 4)

y + 3 = -1/2x + 2

y = -1/2x - 1