Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.

Answer:

998.

Step-by-step explanation:

Just get rid of the negative sign

Answer:

This should 998 I guess

Step-by-step explanation:

Minus the negative signs

Answer:

$0.85

Step-by-step explanation:

$4.25 divided by 5 pounds equals $0.85 per pound.

Answer:

$0.85

Step-by-step explanation:

Find the unit rate.

4.25/5=x/1

Solve for x. X= 4.25/5=0.85

So 1 lb of tangerines costs $0.85.

9514 1404 393

Answer:

Step-by-step explanation:

If we let a, b, c represent tickets booked on airlines A, B, C, respectively, then we have ...

  a + b + c = 55

  a - b = 6

  -2b + c = 5

Using the last two equations to write expressions for a and c, we have ...

  a = b +6

  c = 5 +2b

These can be substituted into the first equation to give ...

  (b +6) +b +(5 +2b) = 55

  4b +11 = 55

  4b = 44

  b = 11

  a = b+6 = 17

  c = 5 +2b = 27

He booked 17 tickets on Airline A, 11 tickets on Airline B, and 27 tickets on Airline C.

Answer:

There is not enough information to determine the mean, the median is 28.

There is not enough information to determine the mean absolute deviation, the interquartile range is 18

Step-by-step explanation:

The box plot given has a skewed distribution, this means that both the mean and median values are not the same. From a box plot, the median value Can be obtained as the point in between the box.

From the box plot given, the marked point in between the box is 28 cm

Hence, Median = 28 cm

The mean cannot be inferred from the skewed box plot.

There is also not enough information to determine the mean absolute deviation ;

The interquartile range:

(Q3 - Q1)

Q3 = upper quartile, the endpoint of the box = 40

Q1 = the starting point of the box = 22

IQR = Q3 - Q1

IQR = 40 - 22 = 18

Answer:

false

Step-by-step explanation:

a whole number is a number that doesnt contain a fraction or negative value

Answer:

13/16 miles per minute

Step-by-step explanation:

Take the miles and divide by the minutes

1/8 ÷ 2/13

Copy dot flip

1/8 * 13/2

13/16 miles per minute

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)

Answer:

$4543.70

General Formulas and Concepts:

Pre-Algebra

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

P = 3500

t = 6

r = 4.97% = 0.0497

Step 2: Find Interest

Answer:

The average speed was of 2 miles per hour.

Step-by-step explanation:

Average speed:

Average speed is distance divided by time.

Distance:

Solved by proportions, using rule of three.

1800 steps - x miles

10,000 steps - 5 miles

[tex]10000x = 5(1800)[/tex]

[tex]x = \frac{9000}{10000}[/tex]

[tex]x = 0.9[/tex]

Distance of 0.9 miles.

Using a time of 27 minutes to complete the event, calculate your average speed.

Distance of 0.9 miles in 27/60 of an hour. So

[tex]d = \frac{0.9}{\frac{27}{60}} = \frac{60(0.9)}{27} = 2[/tex]

The average speed was of 2 miles per hour.

Answer:

2

Step-by-step explanation:

Answer:

5 5/6

Step-by-step explanation:

7 x 5 = 35

35/6 = 5 5/6

Answer:

5 5/6

Step-by-step explanation:

7 * 5/6

7/1 * 5/6

Multiply the numerators

7*5 = 35

Multiply the denominators

1*6 = 6

Numerator over denominator

35/6

Change to a mixed number

6 goes into 35   5 times with 5 left over

5 5/6

Answer:

x=10

Step-by-step explanation:

Using the Rational Roots Test, we can say that the potential rational roots are

± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).

Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.

To make the process faster, I wrote a Python script as follows:

numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]

negative_numbers = [i * (-1) for i in numbers]

numbers = numbers + negative_numbers

for i in numbers:

   if (i**3 - 10*(i**2) + 9*i-90) == 0:

       print(i)

The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get

10 |   1     -10     9      -90

    |          10     0       90

    _________________

        1       0     9        0

Therefore, we can say that

(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so

x³-10x²+9x-90 = (x-10)(x²+9)

As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0

After careful consideration the answer is...

1,260

Hope I helped

~Alanna~

Answer:

1,260

Step-by-step explanation:

Answer:

[tex]{ \bf{P = 2L + 2W}} \\ { \tt{P = 2(W + L)}} \\ { \tt{P = 2(148 + 57)}} \\ { \tt{P = 410}}[/tex]

Answer:

P=410

Step-by-step explanation:

2(57)+2(148)=114+296=410

Answer:

[tex]1/16[/tex]

Step-by-step explanation:

The formula for the sequence [tex]a_n=\frac{1}{2}^n[/tex] is used to find the [tex]n[/tex]th term of the sequence.

To find the fourth term, substitute [tex]n=4[/tex]:

[tex]a_4=\left(\frac{1}{2})\right ^4,\\a_4=\frac{1^4}{2^4}=\boxed{\frac{1}{16}}[/tex]

Answer:

1/16

Step-by-step explanation:

the nth term is

[tex]a_{n} = (\frac{1}{2} )^{n}[/tex]

the 4th term is found by substituting n=4

[tex]a_{4} =(\frac{1}{2} )^{4} = \frac{1^{4} }{2^{4} } = \frac{1}{16}[/tex]

Hi there!

[tex]\large\boxed{x = 60^o}[/tex]

We know:

∠AGB ≅ ∠DGC because they are vertical angles. They both are 90°.

∠AGE ≅ FGC because they are vertical angles, equal 30°.

∠BGF ≅ ∠DGE are vertical angles, both equal x.

All angles sum up to 360°, so:

360° = 90° + 90° + 30° + 30° + x + x

Simplify:

360° = 240° + 2x

Subtract:

120°  = 2x

x = 60°

Answer:

DIRECTION: On your activity notebook, answer each of the following:

A. MODIFIED TRUE OR FALSE. Determine whether each statement is true or false. If the statement is false, explain why.

1. The total area under the normal distribution is infinite.False [its 1]

2. The standard normal distribution is a continuous distribution .True.

3. All variables that are approximately normally distributed can be transformed to standard normal variables.True

4. The z value corresponding to a number below the mean is always negative true..

5. The area under the standard normal distribution to the left of z-0 is negative.

True

Answer:

R1 = 150 in = 12.5 ft

R2 = 170 in = 14.167 ft

H = 220 in = 18.333 ft

Volume of solid cylinder = Pi * R^2 * H

So the volume of a hollow cylinder must be V = Pi * H * (R2^2 - R1^2)

V = 3.142 * 18.33 * (14.17^2 - 12.5^2) = 2565 ft^3

.

Answer:

10) Los ángulos en azul y rojo son llano y obtuso, respectivamente. (Respuesta: B)

11) Los ángulos agudo y recto están diferenciados por los colores morado y naranja, respectivamente. (Respuesta: C)

Step-by-step explanation:

Basándonos estrictamente en lo descrito en la figura, tenemos la siguiente clasificación por colores:

Agudo - Morado.

Plano o Recto - Naranja.

Obtuso - Rojo.

Llano - Azul.

Completo - Negro.

A continuación, se consigna las respuestas en forma de oración:

10) Los ángulos en azul y rojo son llano y obtuso, respectivamente. (Respuesta: B)

11) Los ángulos agudo y recto están diferenciados por los colores morado y naranja, respectivamente. (Respuesta: C)

Answer:

(- 6, 8 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (6, 8 ) → A (- 6, 8 )

Then the pre-image of A' is A (- 6, 8 )

The pre-image of vertex A' would be (-8, 6) on the graph was created by a reflection across the y- axis

The pre-image of vertex A' after a reflection across the y-axis can be found by taking the corresponding point on the other side of the y-axis.

If the image is shown on the graph, and vertex A' is located at (8, 6), then the pre-image of vertex A' would be the point on the opposite side of the y-axis, which has the same x-coordinate but the opposite sign for the y-coordinate.

So, the pre-image of vertex A' would be (-8, 6).

To know more about  vertex , here

https://brainly.com/question/21191648

#SPJ2

Answer:

x = one number

y = second number

Where,

x = y - 3

2y = 4x - 16

Multiply the first equation by 2 and substitute the second equation into it.

2(x=y-3) : 2x = 2y - 6

2x = (4x - 16) - 6

Combine like terms

2x = 4x - 22

2x - 2x + 22 = 4x - 2x -22 + 22

22 = 2x

22/2 = 2x/2

11 = x

Step-by-step explanation:

Answer:

= 1296x √ xy

Step-by-step explanation:

Apply exponent rule: a^b . a^c = a^b + c    3 . 3 = 3^ 1 + 1

= x . 3^1+1 √648x . 4y . 8

Add the numbers: 1 + 1 = 2

= x . 3^2 √648x . 4y . 8

= 3^2 . 144x √ xy

Refine

= 1296x √ xy

Answer:

6m

Step-by-step explanation:

h=3(/V πr^2)=3(226/ π·6^2)≈5.99484

round to 6

Answer:

3000

growth

3.4

Step-by-step explanation:

Answer:

k bestie here we go again...

Initial price:  $3200

Function represents growth

Price increases by 4.1% every year

yo so ill give you a trick

the very first number in the equation is ALWAYS the initial price for exponential functions

if the decimal in the parantheses has a 1 in front of it (e.g. 1.041) it's ALWAYS going to be growth

To find how much it increases move the decimal forward by 2 places

Answer:

d=10.45t

Step-by-step explanation:

The last one is the answer.

Hope this helps!

--Applepi101

Answer:

D) d=10.45t

Step-by-step explanation:

His distance(d) was 100. And his time(t) was 9.58 seconds.

So 100=9.58x

x≈10.44

The answer is D, because 10.45 is greater than 10.44.

I hope this helps!

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

Additional comment

This is different than the minimum cost per item. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.